Finite Group Databasebeta

← #14960209

Subgroups — #14960209

Order 2816.

2006 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076879C211yesmaximal, characteristic, complemented
2#13076798C211yesmaximal, characteristic, complemented
3#13076731C211yesmaximal, characteristic, complemented
4#13076730C211yesmaximal, characteristic, complemented
5#13076729C211yesmaximal, characteristic, complemented
6#13076728C211yesmaximal, characteristic, complemented
7#13076725C211yesmaximal, characteristic, complemented
8#13076724C211yesmaximal, characteristic, complemented
9#13076712C211yesmaximal, characteristic, complemented
10#13076710C211yesmaximal, characteristic, complemented
11#13076708C211yesmaximal, characteristic, complemented
12#13076704C211yesmaximal, characteristic, complemented
13#13076701C211yesmaximal, characteristic, complemented
14#13076612C211yesmaximal, characteristic, complemented
15#13076612C211yesmaximal, characteristic, complemented
16#13076610C211yesmaximal, characteristic, complemented
17#13071917C211yesmaximal, characteristic, complemented
18#13071916C211yesmaximal, characteristic, complemented
19#13071895C211yesmaximal, characteristic, complemented
20#13071879C211yesmaximal, characteristic, complemented
21#13071876C211yesmaximal, characteristic, complemented
22#13071873C211yesmaximal, characteristic, complemented
23#13071860C211yesmaximal, characteristic, complemented
24#13071858C211yesmaximal, characteristic, complemented
25#13071858C211yesmaximal, characteristic, complemented
26#13071854C211yesmaximal, characteristic, complemented
27#13071852C211yesmaximal, characteristic, complemented
28C4×#66935C211yesmaximal, characteristic, complemented
29C4×#66990C211yesmaximal, characteristic, complemented
30C4×#66990C211yesmaximal, characteristic, complemented
31C11×#2392C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic, complemented
36C2×C11×#117C2211yescharacteristic, complemented
37C2×#66990C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic, complemented
45C2×C4×C22⋊D11C2211yescharacteristic, complemented
46C2×#66979C2211yescharacteristic, complemented
47C2×#66935C2211yescharacteristic
48C2×C4×D44C2211yescharacteristic
49C2×C4×D44C2211yescharacteristic
50C2×#66925C2211yescharacteristic, complemented
51C11×#398C2211yescharacteristic, complemented
52C11×#397C2211yescharacteristic, complemented
53C11×#396C2211yescharacteristic
54C11×#396C2211yescharacteristic, complemented
55C11×#394C2211yescharacteristic
56C11×#394C2211yescharacteristic
57C11×#394C2211yescharacteristic, complemented
58C11×#392C2211yescharacteristic
59C4×C11×C4⋊C4C2211yescharacteristic, complemented
60C4×C11×C22⋊C4C2211yescharacteristic
61C4×C11×C22⋊C4C2211yescharacteristic, complemented
62#10622836C2211yescharacteristic
63#10622836C2211yescharacteristic
64#10622836C2211yescharacteristic
65#10622836C2211yescharacteristic
66#10622836C2211yescharacteristic, complemented
67#10622835C2211yescharacteristic
68#10622835C2211yescharacteristic
69#10622835C2211yescharacteristic, complemented
70#10622833C2211yescharacteristic
71#10622833C2211yescharacteristic
72C4×C22⋊Dic11C2211yescharacteristic
73C4×C22⋊Dic11C2211yescharacteristic
74C4×C22⋊Dic11C2211yescharacteristic, complemented
75#10622607C2211yescharacteristic
76#10622607C2211yescharacteristic
77#10622607C2211yescharacteristic
78#10622607C2211yescharacteristic, complemented
79#10622607C2211yescharacteristic, complemented
80#10622606C2211yescharacteristic
81#10622606C2211yescharacteristic
82#10622606C2211yescharacteristic, complemented
83#10622606C2211yescharacteristic, complemented
84#10622605C2211yescharacteristic
85#10622605C2211yescharacteristic
86#10622605C2211yescharacteristic
87#10622605C2211yescharacteristic, complemented
88#10622604C2211yescharacteristic
89#10622604C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622602C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622599C2211yescharacteristic, complemented
95#10622597C2211yescharacteristic, complemented
96#10622597C2211yescharacteristic, complemented
97#10622597C2211yescharacteristic, complemented
98#10622596C2211yescharacteristic, complemented
99#10622595C2211yescharacteristic, complemented
100#10622595C2211yescharacteristic, complemented
101#10622593C2211yescharacteristic, complemented
102#10622593C2211yescharacteristic, complemented
103#10622574C2211yescharacteristic
104#10622574C2211yescharacteristic
105#10622574C2211yescharacteristic
106#10622574C2211yescharacteristic
107#10622574C2211yescharacteristic
108#10622574C2211yescharacteristic
109#10622574C2211yescharacteristic, complemented
110#10622574C2211yescharacteristic, complemented
111#10622573C2211yescharacteristic
112#10622573C2211yescharacteristic
113#10622573C2211yescharacteristic
114#10622573C2211yescharacteristic
115#10622572C2211yescharacteristic
116#10622572C2211yescharacteristic
117#10622572C2211yescharacteristic
118#10622572C2211yescharacteristic
119#10622572C2211yescharacteristic, complemented
120#10622572C2211yescharacteristic, complemented
121#10622571C2211yescharacteristic
122#10622569C2211yescharacteristic
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622568C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622568C2211yescharacteristic
129#10622566C2211yescharacteristic
130#10622566C2211yescharacteristic, complemented
131#10622566C2211yescharacteristic, complemented
132#10622566C2211yescharacteristic, complemented
133#10622565C2211yescharacteristic
134#10622565C2211yescharacteristic
135#10622565C2211yescharacteristic, complemented
136#10622565C2211yescharacteristic, complemented
137#10622565C2211yescharacteristic, complemented
138#10622565C2211yescharacteristic, complemented
139#10622563C2211yescharacteristic
140#10622562C2211yescharacteristic, complemented
141#10622562C2211yescharacteristic, complemented
142#10622561C2211yescharacteristic
143#10622561C2211yescharacteristic
144#10622561C2211yescharacteristic
145#10622561C2211yescharacteristic, complemented
146#10622561C2211yescharacteristic, complemented
147#10622561C2211yescharacteristic, complemented
148#10622559C2211yescharacteristic
149#10622559C2211yescharacteristic
150C4×(C2×D11)⋊C4C2211yescharacteristic
151C4×(C2×D11)⋊C4C2211yescharacteristic
152C4×(C2×D11)⋊C4C2211yescharacteristic
153C4×(C2×D11)⋊C4C2211yescharacteristic
154C4×(C2×D11)⋊C4C2211yescharacteristic
155C4×(C2×D11)⋊C4C2211yescharacteristic
156C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
157C4×C4⋊Dic11C2211yescharacteristic, complemented
158C4×C4⋊Dic11C2211yescharacteristic, complemented
159#10622545C2211yescharacteristic, complemented
160C4×Dic11⋊C4C2211yescharacteristic, complemented
161C4×Dic11⋊C4C2211yescharacteristic, complemented
162C4×Dic11⋊C4C2211yescharacteristic, complemented
163#10622290C2211yescharacteristic
164#10622289C2211yescharacteristic
165#10622288C2211yescharacteristic
166#10622288C2211yescharacteristic
167#10622288C2211yescharacteristic, complemented
168#10622288C2211yescharacteristic, complemented
169#10622287C2211yescharacteristic
170#10622287C2211yescharacteristic
171#10622285C2211yescharacteristic
172#10622285C2211yescharacteristic
173#10622281C2211yescharacteristic
174#10622281C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177C11⋊#401C2211yescharacteristic, complemented
178C11⋊#401C2211yescharacteristic, complemented
179#10622274C2211yescharacteristic, complemented
180#10622273C2211yescharacteristic, complemented
181#10622273C2211yescharacteristic, complemented
182#10622273C2211yescharacteristic, complemented
183#10622272C2211yescharacteristic, complemented
184#10622272C2211yescharacteristic, complemented
185#10622271C2211yescharacteristic, complemented
186#10622270C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×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
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×C4×D11—42no—
205C22×C4×D11—42no—
206C22×C4×D11—42no—
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C4×D4×C11—42no—
213C4×D4×C11—42no—
214C4×D4×C11—42no—
215C11×#117—42no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254#66990—24no—
255#66990—24no—
256C4×C22⋊D11—42no—
257C4×C22⋊D11—42no—
258C4×C22⋊D11—42no—
259C4×C22⋊D11—42no—
260C4×C22⋊D11—42no—
261C4×C22⋊D11—42no—
262C4×C22⋊D11—42no—
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
290#66979—42no—
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×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319#66935—24no—
320C4×D44—42no—
321C4×D44—42no—
322#66925—42no—
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#36676—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C23×D11—41no—
368C23×D11—41no—
369C23×D11—41no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11—41no—
373C23×D11#4114yes—
374C23×D11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C23×D11C2411yescharacteristic
377C2×D4×C11—22no—
378C2×D4×C11—22no—
379C2×D4×C11—41no—
380C2×D4×C11—41no—
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11—22no—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C2×C22⋊D11—22no—
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C2×C22⋊D11—41no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
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⋊D11—41no—
428C22×Dic11—41no—
429C22×Dic11—41no—
430C22×Dic11—41no—
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C2×D44—22no—
445C2×D44—22no—
446C2×D44—41no—
447C2×D44—41no—
448C2×D44—41no—
449C2×D44—41no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—416no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4—41no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4—41no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C42×C11—22no—
486C42×C11—22no—
487C42×C11—22no—
488C42×C11—22no—
489C22⋊Dic11—22no—
490C22⋊Dic11—22no—
491C22⋊Dic11—41no—
492C22⋊Dic11—41no—
493C22⋊Dic11—41no—
494C22⋊Dic11—41no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531C4⋊Dic11—41no—
532C4⋊Dic11—41no—
533C4⋊Dic11—41no—
534C4⋊Dic11—41no—
535C4⋊Dic11—41no—
536C4⋊Dic11—41no—
537C4⋊Dic11—41no—
538C4⋊Dic11—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—22no—
558C4×Dic11—22no—
559#2842—111no—
560#2834—111no—
561#2827—111no—
562#2827—111no—
563#2827—111no—
564#2827—111no—
565#2827—111no—
566#2827—111no—
567#2826—111no—
568#2826—111no—
569#2826—111no—
570#2825—111no—
571#2825—111no—
572#2812—111no—
573#2812—111no—
574#2812—111no—
575#2401—111no—
576#2401—111no—
577#2397—111no—
578#2395—111no—
579#2395—111no—
580#2395—111no—
581#2392—111no—
582#2392—111no—
583#2392—111no—
584#2392—111no—
585#2392—111no—
586#2392D1111yescharacteristic, complemented
587C4×#120—111no—
588C4×#120—111no—
589C4×#120—111no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11C2×#4112yes—
611C23×C11C2511yescharacteristic
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—44no—
632C22×D11—44no—
633C22×D11—44no—
634C22×D11—44no—
635C22×D11—44no—
636C22×D11—44no—
637C22×D11—44no—
638C22×D11C2×#4112yes—
639C22×D11C2×#4112yes—
640D4×C11—44no—
641D4×C11—44no—
642D4×C11—44no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—44no—
677C2×C4×C11—44no—
678C2×C4×C11—44no—
679C2×C4×C11H(5,𝔽2)12yes—
680C2×C4×C11H(5,𝔽2)12yes—
681C2×C4×C11H(5,𝔽2)12yes—
682C22⋊D11—44no—
683C22⋊D11—44no—
684C22⋊D11—44no—
685C22⋊D11—44no—
686C22⋊D11—44no—
687C22⋊D11—44no—
688C22⋊D11—44no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—44no—
729D44—44no—
730D44—44no—
731C4×D11—44no—
732C4×D11—44no—
733C4×D11—44no—
734C4×D11—44no—
735C4×D11—44no—
736C24×C4—111no—
737C2×#120—111no—
738C2×#120—111no—
739C2×#120—111no—
740C2×C4×D4—111no—
741C2×C4×D4—111no—
742C2×C4×D4—111no—
743C2×C4×D4—111no—
744C2×C4×D4—111no—
745C2×C4×D4—111no—
746C2×C4×D4—111no—
747C2×C4×D4—111no—
748C2×C4×D4—111no—
749C2×C4×D4C2×D1111yescharacteristic
750C2×C4×D4C2×D1111yescharacteristic
751C2×C4×D4C2×D1111yescharacteristic, complemented
752C2×#117—111no—
753C2×#117—111no—
754C2×#117C2×D1111yescharacteristic, complemented
755#401—111no—
756#401—111no—
757#400—111no—
758#400—111no—
759#400—111no—
760#400—111no—
761#400—111no—
762#400—111no—
763#400—111no—
764#400—111no—
765#400—111no—
766#399—111no—
767#399—111no—
768#399—111no—
769#399—111no—
770#399—111no—
771#399—111no—
772#399—111no—
773#398—111no—
774#398—111no—
775#398—111no—
776#398—111no—
777#398—111no—
778#398—111no—
779#398—111no—
780#398—111no—
781#398C2×D1111yescharacteristic, complemented
782#397—111no—
783#397—111no—
784#397—111no—
785#397—111no—
786#397—111no—
787#397—111no—
788#397—111no—
789#397—111no—
790#397—111no—
791#397—111no—
792#397—111no—
793#397—111no—
794#397—111no—
795#397—111no—
796#397—111no—
797#397—111no—
798#397—111no—
799#397—111no—
800#397—111no—
801#397—111no—
802#397C2×D1111yescharacteristic, complemented
803#396—111no—
804#396—111no—
805#396—111no—
806#396—111no—
807#396—111no—
808#396—111no—
809#396—111no—
810#396—111no—
811#396—111no—
812#396—111no—
813#396—111no—
814#396—111no—
815#396C2×D1111yescharacteristic
816#396C2×D1111yescharacteristic, complemented
817#394—111no—
818#394—111no—
819#394—111no—
820#394—111no—
821#394—111no—
822#394—111no—
823#394—111no—
824#394—111no—
825#394—111no—
826#394—111no—
827#394—111no—
828#394—111no—
829#394—111no—
830#394—111no—
831#394—111no—
832#394—111no—
833#394—111no—
834#394—111no—
835#394—111no—
836#394—111no—
837#394—111no—
838#394C2×D1111yescharacteristic
839#394C2×D1111yescharacteristic
840#394C2×D1111yescharacteristic, complemented
841#392—111no—
842#392—111no—
843#392—111no—
844#392—111no—
845#392—111no—
846#392—111no—
847#392—111no—
848#392—111no—
849#392—111no—
850#392C2×D1111yescharacteristic
851#386—111no—
852#386—111no—
853#386—111no—
854#386—111no—
855#386—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#385—111no—
861#385—111no—
862#385—111no—
863#385—111no—
864#385—111no—
865#385—111no—
866#385—111no—
867#385—111no—
868#385—111no—
869#379—111no—
870#379—111no—
871#379—111no—
872C4×C4⋊C4—111no—
873C4×C4⋊C4—111no—
874C4×C4⋊C4—111no—
875C4×C4⋊C4—111no—
876C4×C4⋊C4—111no—
877C4×C4⋊C4C2×D1111yescharacteristic, complemented
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4C2×D1111yescharacteristic
889C4×C22⋊C4C2×D1111yescharacteristic, complemented
890#376—111no—
891C22×C11—22no—
892C22×C11—22no—
893C22×C11—22no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11C22×#4111yescharacteristic
913C22×C11C2×H(5,𝔽2)11yescharacteristic
914C22×C11C2×H(5,𝔽2)11yescharacteristic
915C22×C11C2×H(5,𝔽2)11yescharacteristic
916C22×C11#58511yescharacteristic
917C22×C11#58511yescharacteristic
918C22×C11#58511yescharacteristic
919C2×D11—22no—
920C2×D11—22no—
921C2×D11—22no—
922C2×D11—22no—
923C2×D11—22no—
924C2×D11—22no—
925C2×D11—416no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11—41no—
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—41no—
935C2×D11—41no—
936C2×D11—41no—
937C2×D11—41no—
938C2×D11—41no—
939C2×D11—41no—
940C2×D11—41no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946C4×C11—41no—
947C4×C11—41no—
948C4×C11—41no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11#56014yes—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964Dic11—41no—
965Dic11—41no—
966C25—111no—
967C22×D4—111no—
968C22×D4—111no—
969C22×D4—111no—
970C22×D4—111no—
971C22×D4—111no—
972C22×D4—111no—
973C22×D4—111no—
974C22×D4—111no—
975C22×D4—111no—
976C22×D4C22×D1111yescharacteristic
977C22×D4C22×D1111yescharacteristic
978C22×D4C22×D1111yescharacteristic
979C23×C4—111no—
980C23×C4—111no—
981C23×C4—111no—
982C23×C4—111no—
983C23×C4—111no—
984C23×C4—111no—
985C23×C4—442no—
986C23×C4—442no—
987C23×C4—442no—
988C23×C4C22×D1111yescharacteristic
989C23×C4C22×D1111yescharacteristic
990C23×C4C22×D1111yescharacteristic
991#120—224no—
992#120—224no—
993#120—224no—
994C4×D4—42no—
995C4×D4—42no—
996C4×D4—42no—
997C4×D4—442no—
998C4×D4—442no—
999C4×D4—442no—
1000C4×D4—442no—
1001C4×D4—442no—
1002C4×D4—442no—
1003C4×D4—442no—
1004C4×D4—442no—
1005C4×D4—442no—
1006#117—42no—
1007#117—442no—
1008#117—442no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C4⋊C4C22×D1111yescharacteristic
1035C2×C4⋊C4C22×D1111yescharacteristic
1036C2×C4⋊C4C22×D1111yescharacteristic
1037C2×C4⋊C4C22×D1111yescharacteristic
1038C2×C4⋊C4C22×D1111yescharacteristic
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C22⋊C4C22×D1111yescharacteristic
1091C2×C22⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4C22×D1111yescharacteristic
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—111no—
1097C2×C42—111no—
1098C2×C42C22×D1111yescharacteristic
1099C2×C42C22×D1111yescharacteristic
1100C2×C42C22×D1111yescharacteristic
1101C2×C42C22×D1111yescharacteristic
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142C2×C11—42no—
1143C2×C11—81no—
1144C2×C11—81no—
1145C2×C11#345911yescharacteristic
1146C2×C11#345911yescharacteristic
1147C2×C11#345911yescharacteristic
1148C2×C11C2×#56011yescharacteristic
1149C2×C11#352911yescharacteristic
1150C2×C11#352911yescharacteristic
1151C2×C11#352911yescharacteristic
1152D11—42no—
1153D11—42no—
1154D11—81no—
1155C24—111no—
1156C24—111no—
1157C24—114no—
1158C24—111no—
1159C24—441no—
1160C24—441no—
1161C24—441no—
1162C24—441no—
1163C24—441no—
1164C24—441no—
1165C24C23×D1111yescharacteristic
1166C24C23×D1111yescharacteristic
1167C24C23×D1111yescharacteristic
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—222no—
1178C2×D4—222no—
1179C2×D4—222no—
1180C2×D4—222no—
1181C2×D4—222no—
1182C2×D4—222no—
1183C2×D4—222no—
1184C2×D4—441no—
1185C2×D4—441no—
1186C2×D4—441no—
1187C2×D4—441no—
1188C2×D4—441no—
1189C2×D4—441no—
1190C2×D4—441no—
1191C2×D4—441no—
1192C2×D4—441no—
1193C2×D4—441no—
1194C2×D4—441no—
1195C2×D4—441no—
1196C2×D4—441no—
1197C2×D4—441no—
1198C2×D4—441no—
1199C2×D4—441no—
1200C2×D4—441no—
1201C2×D4—441no—
1202C2×D4—441no—
1203C2×D4—441no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—111no—
1214C22×C4—111no—
1215C22×C4—111no—
1216C22×C4—111no—
1217C22×C4—111no—
1218C22×C4—111no—
1219C22×C4—111no—
1220C22×C4—111no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—222no—
1227C22×C4—222no—
1228C22×C4—222no—
1229C22×C4—222no—
1230C22×C4—222no—
1231C22×C4—222no—
1232C22×C4—222no—
1233C22×C4—222no—
1234C22×C4—222no—
1235C22×C4—441no—
1236C22×C4—441no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4—441no—
1241C22×C4—4416no—
1242C22×C4—441no—
1243C22×C4—441no—
1244C22×C4—441no—
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C22×C4C23×D1111yescharacteristic
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—441no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C4⋊C4—441no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C4⋊C4—441no—
1285C4⋊C4—441no—
1286C4⋊C4—441no—
1287C22⋊C4—22no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
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—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C22⋊C4—441no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C22⋊C4—441no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4—441no—
1334C22⋊C4—441no—
1335C22⋊C4—441no—
1336C22⋊C4—441no—
1337C22⋊C4—441no—
1338C22⋊C4—441no—
1339C22⋊C4—441no—
1340C22⋊C4—441no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—222no—
1346C42—222no—
1347C42—222no—
1348C42—222no—
1349C42—222no—
1350C11#3667611yescharacteristic, complemented, Sylow
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—112no—
1372C23—112no—
1373C23—221no—
1374C23—221no—
1375C23—221no—
1376C23—221no—
1377C23—221no—
1378C23—221no—
1379C23—221no—
1380C23—221no—
1381C23—221no—
1382C23—221no—
1383C23—221no—
1384C23—221no—
1385C23—221no—
1386C23—221no—
1387C23—221no—
1388C23—221no—
1389C23—221no—
1390C23—221no—
1391C23—221no—
1392C23—444no—
1393C23—444no—
1394C23—444no—
1395C23—444no—
1396C23—444no—
1397C23—444no—
1398C23—444no—
1399C23#41×D1112yes—
1400C23C24×D1111yescharacteristic
1401D4—44no—
1402D4—44no—
1403D4—44no—
1404D4—444no—
1405D4—444no—
1406D4—444no—
1407D4—444no—
1408D4—444no—
1409D4—444no—
1410D4—444no—
1411D4—444no—
1412D4—444no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—444no—
1489C2×C4—444no—
1490C2×C4—444no—
1491C2×C4—444no—
1492C2×C4—444no—
1493C2×C4—444no—
1494C2×C4#6703712yes—
1495C2×C4#6703712yes—
1496C2×C4#6704212yes—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—222no—
1519C22—222no—
1520C22—222no—
1521C22—222no—
1522C22—222no—
1523C22—222no—
1524C22—4416no—
1525C22—441no—
1526C22—441no—
1527C22—441no—
1528C22—441no—
1529C22—441no—
1530C22—441no—
1531C22—441no—
1532C22—441no—
1533C22—441no—
1534C22—441no—
1535C22—441no—
1536C22—441no—
1537C22—441no—
1538C22—441no—
1539C22—441no—
1540C22C2×#6703711yescharacteristic
1541C22C2×#6703711yescharacteristic
1542C22C2×#41×D1111yescharacteristic
1543C22C2×#6704211yescharacteristic
1544C22#1062345311yescharacteristic
1545C22#1062345311yescharacteristic
1546C22#1062345311yescharacteristic
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—441no—
1559C4—441no—
1560C4—441no—
1561C4—441no—
1562C4—441no—
1563C4—441no—
1564C4—441no—
1565C4—441no—
1566C4—441no—
1567C4—441no—
1568C4—441no—
1569C4—441no—
1570C4—441no—
1571C4#1062315114yes—
1572C2—42no—
1573C2—81no—
1574C2—81no—
1575C2—442no—
1576C2—442no—
1577C2—881no—
1578C2#1308202311yescharacteristic
1579C2#1308202311yescharacteristic
1580C2#1308202611yescharacteristic
1581C2C2×#1062315111yescharacteristic
1582C2#1308275211yescharacteristic
1583C2#1308275411yescharacteristic
1584C2#1308275511yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2392C2
hypercenter#2392D11
hypocenterC11#36676
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2392

Complements

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

NH ≅ G/Ntype
1. #13076879C2semidirect
2. #13076798C2semidirect
3. #13076731C2semidirect
4. #13076730C2semidirect
5. #13076729C2semidirect
6. #13076728C2semidirect
7. #13076725C2semidirect
8. #13076724C2semidirect
9. #13076712C2semidirect
10. #13076710C2semidirect
11. #13076708C2semidirect
12. #13076704C2semidirect
13. #13076701C2semidirect
14. #13076612C2semidirect
15. #13076612C2semidirect
16. #13076610C2semidirect
17. #13071917C2semidirect
18. #13071916C2semidirect
19. #13071895C2semidirect
20. #13071879C2semidirect
21. #13071876C2semidirect
22. #13071873C2semidirect
23. #13071860C2semidirect
24. #13071858C2semidirect
25. #13071858C2semidirect
26. #13071854C2semidirect
27. #13071852C2semidirect
28. C4×#66935C2semidirect
29. C4×#66990C2semidirect
30. C4×#66990C2semidirect
31. C11×#2392C2semidirect
35. C2×C4×D4×C11C22semidirect
36. C2×C11×#117C22semidirect
44. C2×C4×C22⋊D11C22semidirect
45. C2×C4×C22⋊D11C22semidirect
46. C2×#66979C22semidirect
50. C2×#66925C22semidirect
51. C11×#398C22semidirect
52. C11×#397C22semidirect
54. C11×#396C22semidirect
57. C11×#394C22semidirect
59. C4×C11×C4⋊C4C22semidirect
61. C4×C11×C22⋊C4C22semidirect
66. #10622836C22semidirect
69. #10622835C22semidirect
74. C4×C22⋊Dic11C22semidirect
78. #10622607C22semidirect
79. #10622607C22semidirect
82. #10622606C22semidirect
83. #10622606C22semidirect
87. #10622605C22semidirect
94. #10622599C22semidirect
95. #10622597C22semidirect
96. #10622597C22semidirect
97. #10622597C22semidirect
98. #10622596C22semidirect
99. #10622595C22semidirect
100. #10622595C22semidirect
101. #10622593C22semidirect
102. #10622593C22semidirect
109. #10622574C22semidirect
110. #10622574C22semidirect
119. #10622572C22semidirect
120. #10622572C22semidirect
130. #10622566C22semidirect
131. #10622566C22semidirect
132. #10622566C22semidirect
135. #10622565C22semidirect
136. #10622565C22semidirect
137. #10622565C22semidirect
138. #10622565C22semidirect
140. #10622562C22semidirect
141. #10622562C22semidirect
145. #10622561C22semidirect
146. #10622561C22semidirect
147. #10622561C22semidirect
156. C4×(C2×D11)⋊C4C22semidirect
157. C4×C4⋊Dic11C22semidirect
158. C4×C4⋊Dic11C22semidirect
159. #10622545C22semidirect
160. C4×Dic11⋊C4C22semidirect
161. C4×Dic11⋊C4C22semidirect
162. C4×Dic11⋊C4C22semidirect
167. #10622288C22semidirect
168. #10622288C22semidirect
177. C11⋊#401C22semidirect
178. C11⋊#401C22semidirect
179. #10622274C22semidirect
180. #10622273C22semidirect
181. #10622273C22semidirect
182. #10622273C22semidirect
183. #10622272C22semidirect
184. #10622272C22semidirect
185. #10622271C22semidirect
186. #10622270C22semidirect
586. #2392D11semidirect
751. C2×C4×D4C2×D11semidirect
754. C2×#117C2×D11semidirect
781. #398C2×D11semidirect
802. #397C2×D11semidirect
816. #396C2×D11semidirect
840. #394C2×D11semidirect
877. C4×C4⋊C4C2×D11semidirect
889. C4×C22⋊C4C2×D11semidirect
1350. C11#36676semidirect

Maximal subgroups

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

subgroupindex
#130768792
#130767982
#130767312
#130767302
#130767292
#130767282
#130767252
#130767242
#130767122
#130767102
#130767082
#130767042
#130767012
#130766122
#130766102
#130719172
#130719162
#130718952
#130718792
#130718762
#130718732
#130718602
#130718582
#130718542
#130718522
C4×#669352
C4×#669902
C11×#23922
#3667611