Finite Group Databasebeta

← #14960835

Subgroups — #14960835

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×#10623238C211yesmaximal, characteristic, complemented
2C2×#10623055C211yesmaximal, characteristic, complemented
3#13076907C211yesmaximal, characteristic, complemented
4#13076902C211yesmaximal, characteristic, complemented
5#13075318C211yesmaximal, characteristic, complemented
6#13075299C211yesmaximal, characteristic, complemented
7#13075273C211yesmaximal, characteristic, complemented
8#13075254C211yesmaximal, characteristic, complemented
9#13075228C211yesmaximal, characteristic, complemented
10#13075185C211yesmaximal, characteristic, complemented
11#13075174C211yesmaximal, characteristic, complemented
12#13075004C211yesmaximal, characteristic, complemented
13#13074985C211yesmaximal, characteristic, complemented
14#13074976C211yesmaximal, characteristic, complemented
15#13074974C211yesmaximal, characteristic, complemented
16#13074963C211yesmaximal, characteristic, complemented
17#13074954C211yesmaximal, characteristic, complemented
18#13074954C211yesmaximal, characteristic, complemented
19#13074947C211yesmaximal, characteristic, complemented
20#13074936C211yesmaximal, characteristic, complemented
21#13074540C211yesmaximal, characteristic, complemented
22#13074463C211yesmaximal, characteristic, complemented
23#13074314C211yesmaximal, characteristic, complemented
24#13074245C211yesmaximal, characteristic, complemented
25#13074201C211yesmaximal, characteristic, complemented
26#13073967C211yesmaximal, characteristic, complemented
27#13073816C211yesmaximal, characteristic, complemented
28#13071958C211yesmaximal, characteristic, complemented
29#13071949C211yesmaximal, characteristic, complemented
30#13071254C211yesmaximal, characteristic, complemented
31C11×#2601C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic, complemented
35C2×C11×#117C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38#10623238—28no—
39#10623055—28no—
40C2×#66951C2211yescharacteristic
41C2×#66950C2211yescharacteristic
42C2×#66950C2211yescharacteristic
43C2×#66950C2211yescharacteristic, complemented
44C2×#66949C2211yescharacteristic
45C2×#66949C2211yescharacteristic
46C2×#66948C2211yescharacteristic
47C2×#66948C2211yescharacteristic
48C2×#66947C2211yescharacteristic
49C2×#66947C2211yescharacteristic, complemented
50C2×C4⋊C4×D11C2211yescharacteristic, complemented
51C2×#66943C2211yescharacteristic, complemented
52C2×#66939C2211yescharacteristic
53C2×#66939C2211yescharacteristic
54C2×#66939C2211yescharacteristic
55C2×#66937C2211yescharacteristic
56C2×#66936C2211yescharacteristic
57C2×#66936C2211yescharacteristic
58C2×#66936C2211yescharacteristic
59C2×#66936C2211yescharacteristic, complemented
60C2×#66935C2211yescharacteristic
61C2×#66935C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
63C2×#66931C2211yescharacteristic
64C2×#66931C2211yescharacteristic, complemented
65C2×#66931C2211yescharacteristic, complemented
66C2×C4×D44C2211yescharacteristic
67C2×C4×D44C2211yescharacteristic
68C2×C4×D44C2211yescharacteristic
69C2×C4×D44C2211yescharacteristic
70C2×#66923C2211yescharacteristic, complemented
71C11×#398C2211yescharacteristic, complemented
72C11×#396C2211yescharacteristic
73C11×#396C2211yescharacteristic, complemented
74C11×#394C2211yescharacteristic
75C11×#390C2211yescharacteristic
76C11×#389C2211yescharacteristic, complemented
77C11×#388C2211yescharacteristic
78C11×#388C2211yescharacteristic, complemented
79C11×#388C2211yescharacteristic, complemented
80C11×#387C2211yescharacteristic, complemented
81C11×#386C2211yescharacteristic
82C11×#385C2211yescharacteristic
83C4×C11×C4⋊C4C2211yescharacteristic, complemented
84#10622836C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622823C2211yescharacteristic
87#10622823C2211yescharacteristic
88#10622607C2211yescharacteristic
89#10622607C2211yescharacteristic
90#10622607C2211yescharacteristic
91#10622607C2211yescharacteristic, complemented
92#10622607C2211yescharacteristic, complemented
93#10622607C2211yescharacteristic, complemented
94#10622606C2211yescharacteristic
95#10622604C2211yescharacteristic
96#10622604C2211yescharacteristic
97#10622604C2211yescharacteristic
98#10622603C2211yescharacteristic
99#10622603C2211yescharacteristic, complemented
100#10622602C2211yescharacteristic
101#10622602C2211yescharacteristic
102#10622602C2211yescharacteristic, complemented
103#10622602C2211yescharacteristic, complemented
104#10622601C2211yescharacteristic
105#10622601C2211yescharacteristic
106#10622599C2211yescharacteristic, complemented
107#10622597C2211yescharacteristic, complemented
108#10622596C2211yescharacteristic, complemented
109#10622596C2211yescharacteristic, complemented
110#10622594C2211yescharacteristic, complemented
111#10622592C2211yescharacteristic, complemented
112#10622586C2211yescharacteristic, complemented
113#10622586C2211yescharacteristic, complemented
114#10622585C2211yescharacteristic, complemented
115#10622585C2211yescharacteristic, complemented
116#10622574C2211yescharacteristic
117#10622574C2211yescharacteristic
118#10622574C2211yescharacteristic
119#10622573C2211yescharacteristic
120#10622573C2211yescharacteristic
121#10622573C2211yescharacteristic
122#10622573C2211yescharacteristic, complemented
123#10622572C2211yescharacteristic
124#10622572C2211yescharacteristic, complemented
125#10622572C2211yescharacteristic, complemented
126#10622571C2211yescharacteristic
127#10622570C2211yescharacteristic
128#10622570C2211yescharacteristic
129#10622570C2211yescharacteristic, complemented
130#10622569C2211yescharacteristic
131#10622569C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622569C2211yescharacteristic, complemented
134#10622568C2211yescharacteristic
135#10622568C2211yescharacteristic
136#10622568C2211yescharacteristic
137#10622566C2211yescharacteristic
138#10622566C2211yescharacteristic, complemented
139#10622563C2211yescharacteristic
140#10622563C2211yescharacteristic, complemented
141#10622562C2211yescharacteristic
142#10622561C2211yescharacteristic, complemented
143#10622558C2211yescharacteristic
144#10622558C2211yescharacteristic
145#10622555C2211yescharacteristic
146#10622553C2211yescharacteristic
147#10622553C2211yescharacteristic
148#10622553C2211yescharacteristic, complemented
149#10622553C2211yescharacteristic, complemented
150#10622552C2211yescharacteristic
151#10622552C2211yescharacteristic
152#10622549C2211yescharacteristic, complemented
153#10622548C2211yescharacteristic, complemented
154#10622546C2211yescharacteristic, complemented
155#10622546C2211yescharacteristic, complemented
156#10622545C2211yescharacteristic, complemented
157#10622289C2211yescharacteristic
158#10622288C2211yescharacteristic
159#10622288C2211yescharacteristic, complemented
160#10622287C2211yescharacteristic
161#10622287C2211yescharacteristic, complemented
162#10622286C2211yescharacteristic, complemented
163#10622285C2211yescharacteristic
164#10622285C2211yescharacteristic
165#10622285C2211yescharacteristic, complemented
166#10622282C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622281C2211yescharacteristic
169#10622281C2211yescharacteristic
170#10622281C2211yescharacteristic
171#10622281C2211yescharacteristic, complemented
172#10622281C2211yescharacteristic, complemented
173#10622281C2211yescharacteristic, complemented
174#10622280C2211yescharacteristic
175#10622280C2211yescharacteristic
176#10622280C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic
179#10622278C2211yescharacteristic, complemented
180#10622277C2211yescharacteristic
181#10622277C2211yescharacteristic
182#10622277C2211yescharacteristic, complemented
183#10622274C2211yescharacteristic, complemented
184#10622274C2211yescharacteristic, complemented
185#10622270C2211yescharacteristic, complemented
186#10622269C2211yescharacteristic, complemented
187#10622269C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C2×#4339—24no—
201C2×#4339—42no—
202C2×#4339—42no—
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×Dic22C2311yescharacteristic
220C22×Dic22C2311yescharacteristic
221C11×#126—24no—
222C11×#117—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×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255#66992—42no—
256#66990—42no—
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×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322#66951—24no—
323#66950—24no—
324#66950—24no—
325#66950—24no—
326#66949—24no—
327#66949—42no—
328#66948—24no—
329#66948—24no—
330#66947—24no—
331#66947—42no—
332C4⋊C4×D11—24no—
333#66943—24no—
334#66939—24no—
335#66939—24no—
336#66939—24no—
337#66937—24no—
338#66936—24no—
339#66936—24no—
340#66936—42no—
341#66936—42no—
342#66935—24no—
343#66935—24no—
344(C22⋊D11)⋊C4—24no—
345#66931—24no—
346#66931—42no—
347#66931—42no—
348C4×D44—24no—
349C4×D44—24no—
350C4×D44—24no—
351C4×D44D418yescomplemented
352#66923—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×D4×C11—22no—
400C2×D4×C11—41no—
401C2×D4×C11—41no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
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
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—22no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11—41no—
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454#4339—416no—
455C2×D44—22no—
456C2×D44—22no—
457C2×D44—22no—
458C2×D44—22no—
459C2×D44—22no—
460C2×D44—22no—
461C2×D44—22no—
462C2×D44—41no—
463C2×D44—41no—
464C2×D44—41no—
465C2×D44—41no—
466C2×D44—41no—
467C2×D44—41no—
468C2×D44—41no—
469C2×D44C2×D414yes—
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—41no—
479C2×C4×D11—41no—
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—416no—
493C2×C4×D11C2×D414yes—
494C2×C4×D11C2×D414yes—
495C2×Dic22—22no—
496C2×Dic22—22no—
497C2×Dic22—22no—
498C2×Dic22—41no—
499C2×Dic22—41no—
500C2×Dic22—41no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—22no—
504C11×C4⋊C4—22no—
505C11×C4⋊C4—22no—
506C11×C4⋊C4—22no—
507C11×C4⋊C4—41no—
508C11×C4⋊C4—41no—
509C11×C4⋊C4—41no—
510C11×C4⋊C4—41no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—22no—
517C11×C22⋊C4—22no—
518C11×C22⋊C4—41no—
519C11×C22⋊C4—41no—
520C11×C22⋊C4—41no—
521C11×C22⋊C4—41no—
522C42×C11—22no—
523C42×C11—41no—
524C42×C11—41no—
525C42×C11C2×D414yes—
526C22⋊Dic11—22no—
527C22⋊Dic11—22no—
528C22⋊Dic11—22no—
529C22⋊Dic11—41no—
530C22⋊Dic11—41no—
531C22⋊Dic11—41no—
532C22⋊Dic11—41no—
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—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)⋊C4—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4C2×D414yes—
566(C2×D11)⋊C4C2×D414yes—
567C4⋊Dic11—22no—
568C4⋊Dic11—22no—
569C4⋊Dic11—22no—
570C4⋊Dic11—22no—
571C4⋊Dic11—22no—
572C4⋊Dic11—22no—
573C4⋊Dic11—22no—
574C4⋊Dic11—41no—
575C4⋊Dic11—41no—
576C4⋊Dic11—41no—
577C4⋊Dic11—41no—
578C4⋊Dic11C2×D414yes—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—41no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590Dic11⋊C4—41no—
591Dic11⋊C4—41no—
592Dic11⋊C4—41no—
593Dic11⋊C4—41no—
594Dic11⋊C4—41no—
595C4×Dic11—22no—
596C4×Dic11—41no—
597C4×Dic11—41no—
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#2638—111no—
619#2630—111no—
620#2611—111no—
621#2603—111no—
622#2601D1111yescharacteristic, complemented
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×C11H(5,𝔽2)12yes—
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×D11C22×D412yes—
678C22×D112−1+412yes—
679D4×C11—82no—
680C2×C4×C11—28no—
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×C11C22×D412yes—
717C2×C4×C11C22×D412yes—
718C2×C4×C11C22×D412yes—
719C2×C4×C11H(5,𝔽2)12yes—
720C22⋊D11—44no—
721C22⋊D11—44no—
722C22⋊D11—44no—
723C22⋊D11—82no—
724C22⋊D11—82no—
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—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—44no—
761C2×Dic11—82no—
762C2×Dic11C22×D412yes—
763C2×Dic11C22×D412yes—
764D44—44no—
765D44—44no—
766D44—44no—
767D44—44no—
768D44—44no—
769C4×D11—44no—
770C4×D11—44no—
771C4×D11—44no—
772C4×D11—44no—
773C4×D11—44no—
774C4×D11—44no—
775C4×D11—44no—
776C4×D11—82no—
777Dic22—44no—
778Dic22—82no—
779C22×#41—111no—
780C24×C4—111no—
781#539—228no—
782C2×#126—111no—
783C2×#126C2×D1111yescharacteristic, complemented
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⋊Q8—111no—
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×D4—111no—
816C2×#117C2×D1111yescharacteristic
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#397—111no—
832#397—111no—
833#397—111no—
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#396C2×D1111yescharacteristic
843#396C2×D1111yescharacteristic, complemented
844#395—111no—
845#395—111no—
846#395—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#394—111no—
859#394C2×D1111yescharacteristic
860#393—111no—
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#390C2×D1111yescharacteristic
875#389—111no—
876#389—111no—
877#389—111no—
878#389—111no—
879#389C2×D1111yescharacteristic, complemented
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#388C2×D1111yescharacteristic
890#388C2×D1111yescharacteristic, complemented
891#388C2×D1111yescharacteristic, complemented
892#387—111no—
893#387—111no—
894#387—111no—
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#386C2×D1111yescharacteristic
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#385—111no—
921#385C2×D1111yescharacteristic
922#384—111no—
923#382—111no—
924#381—111no—
925#381—111no—
926#381—111no—
927#380—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#379—111no—
932#379—111no—
933#379—111no—
934C4×C4⋊C4C2×D1111yescharacteristic, complemented
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—22no—
989C4×C11—22no—
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—41no—
1002Dic11—41no—
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×Q8—111no—
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—111no—
1039C23×C4—224no—
1040C23×C4—442no—
1041C23×C4—442no—
1042C23×C4C22×D1111yescharacteristic
1043#126—24no—
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—224no—
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—118no—
1072C4×D4—224no—
1073C4×D4—224no—
1074C4×D4—224no—
1075C4×D4—224no—
1076#117—24no—
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—224no—
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×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⋊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×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C42—111no—
1169C2×C42—111no—
1170C2×C42—111no—
1171C2×C42C22×D1111yescharacteristic
1172C2×C42C22×D1111yescharacteristic
1173C2×C42C22×D1111yescharacteristic
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#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
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—222no—
1235C2×Q8—222no—
1236C2×Q8—222no—
1237C2×Q8—441no—
1238C2×Q8—441no—
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—22no—
1278C22×C4—22no—
1279C22×C4—111no—
1280C22×C4—111no—
1281C22×C4—114no—
1282C22×C4—114no—
1283C22×C4—111no—
1284C22×C4—111no—
1285C22×C4—111no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—222no—
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—441no—
1305C22×C4—441no—
1306C22×C4—441no—
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—4416no—
1319C22×C4—441no—
1320C22×C4—441no—
1321C22×C4—441no—
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—22no—
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—114no—
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—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—114no—
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—441no—
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—
1425C42—22no—
1426C42—41no—
1427C42—41no—
1428C42—222no—
1429C42—441no—
1430C42—441no—
1431C42D4×D1114yes—
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—
1481C23#6704212yes—
1482C23C24×D1111yescharacteristic
1483Q8—444no—
1484Q8—882no—
1485D4—82no—
1486D4—444no—
1487D4—444no—
1488D4—444no—
1489D4—444no—
1490D4—444no—
1491D4—444no—
1492D4—444no—
1493D4—444no—
1494D4—882no—
1495D4—882no—
1496D4—882no—
1497C2×C4—28no—
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—112no—
1534C2×C4—112no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—444no—
1570C2×C4—444no—
1571C2×C4—444no—
1572C2×C4—444no—
1573C2×C4—444no—
1574C2×C4—444no—
1575C2×C4—444no—
1576C2×C4—444no—
1577C2×C4—882no—
1578C2×C4—882no—
1579C2×C4C2×D4×D1112yes—
1580C2×C4C2×D4×D1112yes—
1581C2×C4C2×D4×D1112yes—
1582C2×C4#6704212yes—
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
1627C22C2×#6704211yescharacteristic
1628C22C2×#6704211yescharacteristic
1629C22#1062345311yescharacteristic
1630C22#1062345311yescharacteristic
1631C22#1062345511yescharacteristic
1632C22D11×2−1+411yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—222no—
1647C4—222no—
1648C4—441no—
1649C4—441no—
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#1308194311yescharacteristic
1665C2#1308224911yescharacteristic
1666C2#1308229111yescharacteristic
1667C2#1308278811yescharacteristic
1668C2#1308282811yescharacteristic
1669C2#1308287311yescharacteristic
1670C2#1308291611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2601C2
hypercenter#2601D11
hypocenterC11#36723
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2601

Complements

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

NH ≅ G/Ntype
1. C2×#10623238C2semidirect
2. C2×#10623055C2semidirect
3. #13076907C2semidirect
4. #13076902C2semidirect
5. #13075318C2semidirect
6. #13075299C2semidirect
7. #13075273C2semidirect
8. #13075254C2semidirect
9. #13075228C2semidirect
10. #13075185C2semidirect
11. #13075174C2semidirect
12. #13075004C2semidirect
13. #13074985C2semidirect
14. #13074976C2semidirect
15. #13074974C2semidirect
16. #13074963C2semidirect
17. #13074954C2semidirect
18. #13074954C2semidirect
19. #13074947C2semidirect
20. #13074936C2semidirect
21. #13074540C2semidirect
22. #13074463C2semidirect
23. #13074314C2semidirect
24. #13074245C2semidirect
25. #13074201C2semidirect
26. #13073967C2semidirect
27. #13073816C2semidirect
28. #13071958C2semidirect
29. #13071949C2semidirect
30. #13071254C2semidirect
31. C11×#2601C2semidirect
34. C2×C11×#126C22semidirect
43. C2×#66950C22semidirect
49. C2×#66947C22semidirect
50. C2×C4⋊C4×D11C22semidirect
51. C2×#66943C22semidirect
59. C2×#66936C22semidirect
62. C2×(C22⋊D11)⋊C4C22semidirect
64. C2×#66931C22semidirect
65. C2×#66931C22semidirect
70. C2×#66923C22semidirect
71. C11×#398C22semidirect
73. C11×#396C22semidirect
76. C11×#389C22semidirect
78. C11×#388C22semidirect
79. C11×#388C22semidirect
80. C11×#387C22semidirect
83. C4×C11×C4⋊C4C22semidirect
91. #10622607C22semidirect
92. #10622607C22semidirect
93. #10622607C22semidirect
99. #10622603C22semidirect
102. #10622602C22semidirect
103. #10622602C22semidirect
106. #10622599C22semidirect
107. #10622597C22semidirect
108. #10622596C22semidirect
109. #10622596C22semidirect
110. #10622594C22semidirect
111. #10622592C22semidirect
112. #10622586C22semidirect
113. #10622586C22semidirect
114. #10622585C22semidirect
115. #10622585C22semidirect
122. #10622573C22semidirect
124. #10622572C22semidirect
125. #10622572C22semidirect
129. #10622570C22semidirect
133. #10622569C22semidirect
138. #10622566C22semidirect
140. #10622563C22semidirect
142. #10622561C22semidirect
148. #10622553C22semidirect
149. #10622553C22semidirect
152. #10622549C22semidirect
153. #10622548C22semidirect
154. #10622546C22semidirect
155. #10622546C22semidirect
156. #10622545C22semidirect
159. #10622288C22semidirect
161. #10622287C22semidirect
162. #10622286C22semidirect
165. #10622285C22semidirect
171. #10622281C22semidirect
172. #10622281C22semidirect
173. #10622281C22semidirect
176. #10622280C22semidirect
179. #10622278C22semidirect
182. #10622277C22semidirect
183. #10622274C22semidirect
184. #10622274C22semidirect
185. #10622270C22semidirect
186. #10622269C22semidirect
187. #10622269C22semidirect
188. #10622259C22semidirect
351. C4×D44D4semidirect
622. #2601D11semidirect
783. C2×#126C2×D11semidirect
826. #398C2×D11semidirect
843. #396C2×D11semidirect
879. #389C2×D11semidirect
890. #388C2×D11semidirect
891. #388C2×D11semidirect
895. #387C2×D11semidirect
934. C4×C4⋊C4C2×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×#106232382
C2×#106230552
#130769072
#130769022
#130753182
#130752992
#130752732
#130752542
#130752282
#130751852
#130751742
#130750042
#130749852
#130749762
#130749742
#130749632
#130749542
#130749472
#130749362
#130745402
#130744632
#130743142
#130742452
#130742012
#130739672
#130738162
#130719582
#130719492
#130712542
C11×#26012
#3672311