Finite Group Databasebeta

← #14922454

Subgroups — #14922454

Order 2816.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623078C211yesmaximal, characteristic, complemented
2C2×C4×#4339C211yesmaximal, characteristic, complemented
3#13072814C211yesmaximal, characteristic, complemented
4#13072807C211yesmaximal, characteristic, complemented
5#13072726C211yesmaximal, characteristic, complemented
6#13072719C211yesmaximal, characteristic, complemented
7#13072634C211yesmaximal, characteristic, complemented
8#13072627C211yesmaximal, characteristic, complemented
9#13072537C211yesmaximal, characteristic, complemented
10#13072530C211yesmaximal, characteristic, complemented
11#13072447C211yesmaximal, characteristic, complemented
12#13072373C211yesmaximal, characteristic, complemented
13#13072299C211yesmaximal, characteristic, complemented
14#13072223C211yesmaximal, characteristic, complemented
15#13072149C211yesmaximal, characteristic, complemented
16#13072083C211yesmaximal, characteristic, complemented
17#13071998C211yesmaximal, characteristic, complemented
18#13071933C211yesmaximal, characteristic, complemented
19#13071900C211yesmaximal, characteristic, complemented
20#13071888C211yesmaximal, characteristic, complemented
21#13071854C211yesmaximal, characteristic, complemented
22#13071831C211yesmaximal, characteristic, complemented
23C4×#66936C211yesmaximal, characteristic, complemented
24C4×#66936C211yesmaximal, characteristic, complemented
25C4×#66991C211yesmaximal, characteristic, complemented
26C4×#66990C211yesmaximal, characteristic, complemented
27#13071102C211yesmaximal, characteristic, complemented
28#13071059C211yesmaximal, characteristic, complemented
29#13071057C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C4×C11×#121C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C22×#4339C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic
38C2×C4×D4×C11C2211yescharacteristic, complemented
39C22×C42×C11C2211yescharacteristic, complemented
40C2×#66992C2211yescharacteristic
41C2×#66991C2211yescharacteristic
42C2×#66990C2211yescharacteristic
43C2×#66990C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C2×C4×C22⋊D11C2211yescharacteristic
49C2×C4×C22⋊D11C2211yescharacteristic, complemented
50C2×C4×C22⋊D11C2211yescharacteristic, complemented
51C2×#66979C2211yescharacteristic, complemented
52#10623078—28no—
53C2×#66949C2211yescharacteristic
54C2×#66947C2211yescharacteristic
55C2×#66937C2211yescharacteristic
56C2×#66936C2211yescharacteristic
57C2×#66936C2211yescharacteristic
58C2×#66936C2211yescharacteristic
59C2×#66935C2211yescharacteristic
60C2×C22⋊C4×D11C2211yescharacteristic
61C2×C22⋊C4×D11C2211yescharacteristic
62C2×#66931C2211yescharacteristic
63C4×#4339—28no—
64C2×C4×D44C2211yescharacteristic
65C2×C4×D44C2211yescharacteristic
66C2×#66925C2211yescharacteristic
67C2×#66925C2211yescharacteristic
68C2×#66925C2211yescharacteristic, complemented
69C2×#66925C2211yescharacteristic, complemented
70C2×C42×D11C2211yescharacteristic
71C2×C42×D11C2211yescharacteristic
72C2×C42×D11C2211yescharacteristic, complemented
73C2×C4×Dic22C2211yescharacteristic, complemented
74C2×C4×Dic22C2211yescharacteristic, complemented
75C11×#390C2211yescharacteristic
76C11×#389C2211yescharacteristic, complemented
77C11×#388C2211yescharacteristic
78C11×#388C2211yescharacteristic, complemented
79C11×#386C2211yescharacteristic
80C11×#386C2211yescharacteristic, complemented
81C11×#380C2211yescharacteristic, complemented
82C4×C11×C4⋊C4C2211yescharacteristic, complemented
83C4×C11×C22⋊C4C2211yescharacteristic
84C4×C11×C22⋊C4C2211yescharacteristic, complemented
85#10622836C2211yescharacteristic
86#10622836C2211yescharacteristic
87#10622836C2211yescharacteristic, complemented
88#10622835C2211yescharacteristic
89#10622835C2211yescharacteristic
90#10622835C2211yescharacteristic
91#10622834C2211yescharacteristic, complemented
92#10622833C2211yescharacteristic
93#10622826C2211yescharacteristic
94#10622826C2211yescharacteristic
95#10622823C2211yescharacteristic, complemented
96#10622823C2211yescharacteristic, complemented
97C4×C22⋊Dic11C2211yescharacteristic
98C4×C22⋊Dic11C2211yescharacteristic
99C4×C22⋊Dic11C2211yescharacteristic, complemented
100C4×C22⋊Dic11C2211yescharacteristic, complemented
101C4×C22⋊Dic11C2211yescharacteristic, complemented
102#10622607C2211yescharacteristic
103#10622607C2211yescharacteristic
104#10622606C2211yescharacteristic, complemented
105#10622604C2211yescharacteristic
106#10622603C2211yescharacteristic, complemented
107#10622603C2211yescharacteristic, complemented
108#10622602C2211yescharacteristic
109#10622602C2211yescharacteristic
110#10622602C2211yescharacteristic
111#10622602C2211yescharacteristic
112#10622600C2211yescharacteristic
113#10622596C2211yescharacteristic, complemented
114#10622596C2211yescharacteristic, complemented
115#10622595C2211yescharacteristic, complemented
116#10622595C2211yescharacteristic, complemented
117#10622593C2211yescharacteristic, complemented
118#10622592C2211yescharacteristic, complemented
119#10622586C2211yescharacteristic, complemented
120#10622574C2211yescharacteristic
121#10622574C2211yescharacteristic, complemented
122#10622573C2211yescharacteristic
123#10622572C2211yescharacteristic
124#10622572C2211yescharacteristic, complemented
125#10622570C2211yescharacteristic
126#10622570C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622569C2211yescharacteristic
130#10622569C2211yescharacteristic
131#10622569C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622569C2211yescharacteristic, complemented
134#10622569C2211yescharacteristic, complemented
135#10622568C2211yescharacteristic
136#10622566C2211yescharacteristic
137#10622566C2211yescharacteristic, complemented
138#10622564C2211yescharacteristic
139#10622564C2211yescharacteristic, complemented
140#10622561C2211yescharacteristic
141#10622561C2211yescharacteristic, complemented
142#10622560C2211yescharacteristic
143#10622560C2211yescharacteristic, complemented
144#10622560C2211yescharacteristic, complemented
145#10622559C2211yescharacteristic
146#10622558C2211yescharacteristic
147#10622558C2211yescharacteristic, complemented
148#10622557C2211yescharacteristic, complemented
149#10622557C2211yescharacteristic, complemented
150C22⋊C4×Dic11C2211yescharacteristic
151C22⋊C4×Dic11C2211yescharacteristic
152#10622553C2211yescharacteristic
153#10622553C2211yescharacteristic
154C4×(C2×D11)⋊C4C2211yescharacteristic
155C4×(C2×D11)⋊C4C2211yescharacteristic
156C4×(C2×D11)⋊C4C2211yescharacteristic
157C4×(C2×D11)⋊C4C2211yescharacteristic
158C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
159C4×C4⋊Dic11C2211yescharacteristic, complemented
160C4×C4⋊Dic11C2211yescharacteristic, complemented
161#10622546C2211yescharacteristic, complemented
162#10622546C2211yescharacteristic, complemented
163#10622545C2211yescharacteristic, complemented
164C4×Dic11⋊C4C2211yescharacteristic, complemented
165#10622290C2211yescharacteristic
166#10622286C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622281C2211yescharacteristic, complemented
169#10622279C2211yescharacteristic
170#10622279C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622277C2211yescharacteristic
176#10622277C2211yescharacteristic, complemented
177D11×#95C2211yescharacteristic
178D11×#95C2211yescharacteristic
179#10622272C2211yescharacteristic, complemented
180#10622269C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622267C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C2×#4339—24no—
207C2×#4339—24no—
208C2×#4339—24no—
209C2×#4339—24no—
210C2×#4339—24no—
211C2×#4339—42no—
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×C4×D11—24no—
215C22×C4×D11—24no—
216C22×C4×D11—42no—
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×Dic22C2311yescharacteristic
229C22×Dic22C2311yescharacteristic
230C11×#121—24no—
231C4×D4×C11—24no—
232C4×D4×C11—42no—
233C4×D4×C11—42no—
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C42×C11—24no—
250C2×C42×C11C2311yescharacteristic
251C2×C42×C11C2311yescharacteristic
252C2×C42×C11C2311yescharacteristic
253C2×C42×C11C2311yescharacteristic
254C2×C42×C11C2311yescharacteristic
255C2×C42×C11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271#66992—24no—
272#66991—24no—
273#66990—24no—
274#66990—24no—
275C4×C22⋊D11—24no—
276C4×C22⋊D11—24no—
277C4×C22⋊D11—24no—
278C4×C22⋊D11—24no—
279C4×C22⋊D11—24no—
280C4×C22⋊D11—24no—
281C4×C22⋊D11—24no—
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303#66979—24no—
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
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
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334#66949—24no—
335#66947—24no—
336#66937—24no—
337#66936—24no—
338#66936—24no—
339#66936—24no—
340#66935—24no—
341C22⋊C4×D11—24no—
342C22⋊C4×D11—24no—
343#66931—24no—
344C4×D44—24no—
345C4×D44D418yescomplemented
346#66925—24no—
347#66925—24no—
348#66925—24no—
349#66925—42no—
350C42×D11—24no—
351C42×D11—24no—
352C42×D11—42no—
353C4×Dic22—24no—
354C4×Dic22—24no—
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
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#34732—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—41no—
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11#4114yescomplemented
462C22×Dic11—22no—
463C22×Dic11—22no—
464C22×Dic11—41no—
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478#4339—232no—
479#4339—416no—
480C2×D44—22no—
481C2×D44—22no—
482C2×D44—22no—
483C2×D44—22no—
484C2×D44—41no—
485C2×D44C2×D414yes—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
489C2×C4×D11—22no—
490C2×C4×D11—22no—
491C2×C4×D11—22no—
492C2×C4×D11—22no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
495C2×C4×D11—22no—
496C2×C4×D11—22no—
497C2×C4×D11—22no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—41no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—416no—
516C2×C4×D11C2×D414yes—
517C2×C4×D11C2×D414yes—
518C2×C4×D11#4114yescomplemented
519C2×C4×D11#4114yescomplemented
520C2×Dic22—22no—
521C2×Dic22—22no—
522C2×Dic22—22no—
523C2×Dic22—22no—
524C2×Dic22—22no—
525C2×Dic22—41no—
526C11×C4⋊C4—22no—
527C11×C4⋊C4—22no—
528C11×C4⋊C4—41no—
529C11×C4⋊C4—41no—
530C11×C4⋊C4—41no—
531C11×C22⋊C4—22no—
532C11×C22⋊C4—22no—
533C11×C22⋊C4—22no—
534C11×C22⋊C4—22no—
535C11×C22⋊C4—22no—
536C11×C22⋊C4—41no—
537C11×C22⋊C4—41no—
538C11×C22⋊C4—41no—
539C11×C22⋊C4—41no—
540C11×C22⋊C4#4114yescomplemented
541C42×C11—22no—
542C42×C11—22no—
543C42×C11—22no—
544C42×C11—22no—
545C42×C11—22no—
546C42×C11C2×D414yes—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—22no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4—41no—
581(C2×D11)⋊C4C2×D414yes—
582(C2×D11)⋊C4C2×D414yes—
583C4⋊Dic11—22no—
584C4⋊Dic11—22no—
585C4⋊Dic11—22no—
586C4⋊Dic11—22no—
587C4⋊Dic11—41no—
588C4⋊Dic11C2×D414yes—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—22no—
592Dic11⋊C4—22no—
593Dic11⋊C4—22no—
594Dic11⋊C4—22no—
595Dic11⋊C4—22no—
596Dic11⋊C4—22no—
597Dic11⋊C4—22no—
598Dic11⋊C4—22no—
599Dic11⋊C4—22no—
600Dic11⋊C4—41no—
601Dic11⋊C4—41no—
602C4×Dic11—22no—
603C4×Dic11—22no—
604C4×Dic11—22no—
605C4×Dic11—22no—
606C4×Dic11—22no—
607C4×Dic11—22no—
608C4×Dic11—22no—
609C4×Dic11—22no—
610C4×Dic11—22no—
611C4×Dic11—41no—
612C4×Dic11—41no—
613C2×#525—111no—
614C2×C4×#41—111no—
615#2477—111no—
616#2476—111no—
617#2471—111no—
618#2470—111no—
619#2465—111no—
620#2464—111no—
621#2458—111no—
622#2457—111no—
623#2450—111no—
624#2444—111no—
625#2438—111no—
626#2430—111no—
627#2424—111no—
628#2418—111no—
629#2411—111no—
630#2404—111no—
631#2398—111no—
632#2396—111no—
633#2392—111no—
634#2388—111no—
635C4×#123—111no—
636C4×#123—111no—
637C4×#121—111no—
638C4×#121D1111yescharacteristic, complemented
639C4×#120—111no—
640#2297—111no—
641#2290—111no—
642#2290—111no—
643C2×C4×C22⋊C4—111no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11C2×#4112yes—
664C23×C11C2×#4112yes—
665C23×C11C2511yescharacteristic
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—28no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—44no—
684C22×D11—44no—
685C22×D11—44no—
686C22×D11—44no—
687C22×D11—44no—
688C22×D11—44no—
689C22×D11C22×D412yes—
690C22×D11C22×D412yes—
691C22×D11C2×#4112yes—
692C22×D11C2×#4112yes—
693C22×D11C2×#4112yes—
694D4×C11—44no—
695D4×C11—44no—
696D4×C11—44no—
697C2×C4×C11—28no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—44no—
727C2×C4×C11—44no—
728C2×C4×C11—44no—
729C2×C4×C11—44no—
730C2×C4×C11C22×D412yes—
731C2×C4×C11C22×D412yes—
732C2×C4×C11C22×D412yes—
733C2×C4×C11C2×#4112yes—
734C2×C4×C11C2×#4112yes—
735C2×C4×C11C2×#4112yes—
736C2×C4×C11C2×#4112yes—
737C2×C4×C11H(5,𝔽2)12yes—
738C22⋊D11—28no—
739C22⋊D11—28no—
740C22⋊D11—44no—
741C22⋊D11—44no—
742C22⋊D11—44no—
743C22⋊D11—44no—
744C22⋊D11—44no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—44no—
780C2×Dic11C22×D412yes—
781C2×Dic11C22×D412yes—
782C2×Dic11C2×#4112yes—
783C2×Dic11C2×#4112yes—
784C2×Dic11C2×#4112yes—
785D44—28no—
786D44—44no—
787C4×D11—28no—
788C4×D11—28no—
789C4×D11—28no—
790C4×D11—28no—
791C4×D11—28no—
792C4×D11—44no—
793C4×D11—44no—
794C4×D11—44no—
795C4×D11—44no—
796C4×D11—44no—
797C4×D11—44no—
798Dic22—28no—
799Dic22—44no—
800C22×#41—111no—
801C22×#41—111no—
802C24×C4—111no—
803#525—228no—
804C2×#123—111no—
805C2×#123—111no—
806C2×#123—111no—
807C2×#123—111no—
808C2×C22⋊Q8—111no—
809C2×C22⋊Q8—111no—
810C2×#121—111no—
811C2×#121—111no—
812C2×#121—111no—
813C2×#121C2×D1111yescharacteristic
814C2×#120—111no—
815C2×#120—111no—
816C2×#120—111no—
817C4×#41—228no—
818C2×C4×Q8—111no—
819C2×C4×Q8—111no—
820C2×C4×D4—111no—
821C2×C4×D4—111no—
822C2×C4×D4—111no—
823C2×C4×D4—111no—
824C2×C4×D4—111no—
825C2×C4×D4—111no—
826C2×C4×D4—111no—
827C2×C4×D4—111no—
828C2×C4×D4—111no—
829C2×C4×D4C2×D1111yescharacteristic
830C2×C4×D4C2×D1111yescharacteristic
831C2×C4×D4C2×D1111yescharacteristic, complemented
832C2×#117—111no—
833C2×#117—111no—
834C2×#117—111no—
835C2×#117—111no—
836C2×#117—111no—
837C22×C22⋊C4—111no—
838C22×C22⋊C4—111no—
839C22×C42—111no—
840C22×C42—111no—
841C22×C42—111no—
842C22×C42C2×D1111yescharacteristic, complemented
843#400—111no—
844#400—111no—
845#400—111no—
846#399—111no—
847#398—111no—
848#398—111no—
849#398—111no—
850#397—111no—
851#397—111no—
852#397—111no—
853#396—111no—
854#396—111no—
855#396—111no—
856#396—111no—
857#395—111no—
858#395—111no—
859#394—111no—
860#394—111no—
861#394—111no—
862#394—111no—
863#394—111no—
864#394—111no—
865#394—111no—
866#394—111no—
867#393—111no—
868#393—111no—
869#393—111no—
870#393—111no—
871#392—111no—
872#392—111no—
873#392—111no—
874#392—111no—
875#391—111no—
876#391—111no—
877#390—111no—
878#390—111no—
879#390—111no—
880#390C2×D1111yescharacteristic
881#389—111no—
882#389C2×D1111yescharacteristic, complemented
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#388—111no—
893#388C2×D1111yescharacteristic
894#388C2×D1111yescharacteristic, complemented
895#387—111no—
896#387—111no—
897#387—111no—
898#387—111no—
899#387—111no—
900#387—111no—
901#387—111no—
902#387—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#386—111no—
917#386—111no—
918#386C2×D1111yescharacteristic
919#386C2×D1111yescharacteristic, complemented
920#385—111no—
921#385—111no—
922#385—111no—
923#385—111no—
924#385—111no—
925#385—111no—
926#385—111no—
927#385—111no—
928#385—111no—
929#381—111no—
930#381—111no—
931#380—111no—
932#380C2×D1111yescharacteristic, complemented
933#379—111no—
934C4×C4⋊C4—111no—
935C4×C4⋊C4—111no—
936C4×C4⋊C4—111no—
937C4×C4⋊C4C2×D1111yescharacteristic, complemented
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4—111no—
946C4×C22⋊C4—111no—
947C4×C22⋊C4—111no—
948C4×C22⋊C4—111no—
949C4×C22⋊C4—111no—
950C4×C22⋊C4—111no—
951C4×C22⋊C4—111no—
952C4×C22⋊C4C2×D1111yescharacteristic
953C4×C22⋊C4C2×D1111yescharacteristic, complemented
954#376—111no—
955C2×#95—111no—
956C2×#95—111no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
960C22×C11—22no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—41no—
964C22×C11—41no—
965C22×C11—41no—
966C22×C11—41no—
967C22×C11—41no—
968C22×C11—41no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11—41no—
974C22×C11—41no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11C23×D411yescharacteristic
979C22×C11C22×#4111yescharacteristic
980C22×C11C22×#4111yescharacteristic
981C22×C11C22×#4111yescharacteristic
982C22×C11C22×#4111yescharacteristic
983C22×C11C2×H(5,𝔽2)11yescharacteristic
984C22×C11#58511yescharacteristic
985C2×D11—22no—
986C2×D11—22no—
987C2×D11—22no—
988C2×D11—22no—
989C2×D11—22no—
990C2×D11—22no—
991C2×D11—22no—
992C2×D11—22no—
993C2×D11—22no—
994C2×D11—22no—
995C2×D11—22no—
996C2×D11—22no—
997C2×D11—416no—
998C2×D11—41no—
999C2×D11—41no—
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—41no—
1003C2×D11—41no—
1004C2×D11—41no—
1005C2×D11—41no—
1006C2×D11#52514yes—
1007C4×C11—22no—
1008C4×C11—22no—
1009C4×C11—22no—
1010C4×C11—22no—
1011C4×C11—22no—
1012C4×C11—41no—
1013C4×C11—41no—
1014C4×C11—41no—
1015C4×C11—41no—
1016C4×C11—41no—
1017C4×C11—41no—
1018C4×C11#54614yes—
1019Dic11—22no—
1020Dic11—22no—
1021Dic11—22no—
1022Dic11—22no—
1023Dic11—22no—
1024Dic11—41no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029Dic11—41no—
1030Dic11—41no—
1031Dic11—41no—
1032C25—111no—
1033C2×#41—224no—
1034C2×#41—224no—
1035C2×#41—224no—
1036C2×#41—224no—
1037C2×#41—224no—
1038C2×#41—442no—
1039C22×Q8—111no—
1040C22×Q8—111no—
1041C22×D4—111no—
1042C22×D4—111no—
1043C22×D4—111no—
1044C22×D4—111no—
1045C22×D4—111no—
1046C22×D4—111no—
1047C22×D4—111no—
1048C22×D4—111no—
1049C22×D4—111no—
1050C22×D4C22×D1111yescharacteristic
1051C22×D4C22×D1111yescharacteristic
1052C22×D4C22×D1111yescharacteristic
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—111no—
1061C23×C4—111no—
1062C23×C4—111no—
1063C23×C4—111no—
1064C23×C4—111no—
1065C23×C4—224no—
1066C23×C4—224no—
1067C23×C4—442no—
1068C23×C4C22×D1111yescharacteristic
1069C23×C4C22×D1111yescharacteristic
1070C23×C4C22×D1111yescharacteristic
1071C23×C4C22×D1111yescharacteristic
1072C23×C4C22×D1111yescharacteristic
1073#123—224no—
1074#123—224no—
1075#123—224no—
1076#123—224no—
1077C22⋊Q8—224no—
1078C22⋊Q8—224no—
1079#121—24no—
1080#121—224no—
1081#121—224no—
1082#121—224no—
1083#120—224no—
1084#120—224no—
1085#120—224no—
1086C4×Q8—224no—
1087C4×Q8—224no—
1088C4×D4—24no—
1089C4×D4—42no—
1090C4×D4—42no—
1091C4×D4—118no—
1092C4×D4—224no—
1093C4×D4—224no—
1094C4×D4—224no—
1095C4×D4—224no—
1096C4×D4—224no—
1097C4×D4—224no—
1098C4×D4—224no—
1099C4×D4—224no—
1100#117—224no—
1101#117—224no—
1102#117—224no—
1103#117—224no—
1104#117—442no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—111no—
1112C2×C4⋊C4—111no—
1113C2×C4⋊C4—111no—
1114C2×C4⋊C4—111no—
1115C2×C4⋊C4—111no—
1116C2×C4⋊C4—111no—
1117C2×C4⋊C4—111no—
1118C2×C4⋊C4—111no—
1119C2×C4⋊C4—111no—
1120C2×C4⋊C4—111no—
1121C2×C4⋊C4—111no—
1122C2×C4⋊C4—111no—
1123C2×C4⋊C4—111no—
1124C2×C4⋊C4C22×D1111yescharacteristic
1125C2×C4⋊C4C22×D1111yescharacteristic
1126C2×C4⋊C4C22×D1111yescharacteristic
1127C2×C4⋊C4C22×D1111yescharacteristic
1128C2×C4⋊C4C22×D1111yescharacteristic
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—224no—
1166C2×C22⋊C4—224no—
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C22⋊C4C22×D1111yescharacteristic
1171C2×C22⋊C4C22×D1111yescharacteristic
1172C2×C22⋊C4C22×D1111yescharacteristic
1173C2×C22⋊C4C22×D1111yescharacteristic
1174C2×C22⋊C4C22×D1111yescharacteristic
1175C2×C22⋊C4C22×D1111yescharacteristic
1176C2×C22⋊C4C22×D1111yescharacteristic
1177C2×C42—24no—
1178C2×C42—111no—
1179C2×C42—111no—
1180C2×C42—111no—
1181C2×C42—111no—
1182C2×C42—111no—
1183C2×C42—111no—
1184C2×C42—111no—
1185C2×C42—111no—
1186C2×C42—111no—
1187C2×C42—111no—
1188C2×C42—111no—
1189C2×C42—224no—
1190C2×C42—224no—
1191C2×C42—442no—
1192C2×C42C22×D1111yescharacteristic
1193C2×C42C22×D1111yescharacteristic
1194C2×C42C22×D1111yescharacteristic
1195C2×C42C22×D1111yescharacteristic
1196C2×C42C22×D1111yescharacteristic
1197C2×C42C22×D1111yescharacteristic
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95C22×D1111yescharacteristic
1229#95C22×D1111yescharacteristic
1230#95C22×D1111yescharacteristic
1231#95C22×D1111yescharacteristic
1232#95C22×D1111yescharacteristic
1233#95C22×D1111yescharacteristic
1234C2×C11—42no—
1235C2×C11—42no—
1236C2×C11—81no—
1237C2×C11C2×#52511yescharacteristic
1238C2×C11#344411yescharacteristic
1239C2×C11#346011yescharacteristic
1240C2×C11C2×#54611yescharacteristic
1241C2×C11D4×#4111yescharacteristic
1242C2×C11#347511yescharacteristic
1243C2×C11#348111yescharacteristic
1244D11—24no—
1245D11—42no—
1246D11—42no—
1247C24—111no—
1248C24—111no—
1249C24—111no—
1250C24—222no—
1251C24—222no—
1252C24—222no—
1253C24—222no—
1254C24—222no—
1255C24—441no—
1256C24—441no—
1257C24C23×D1111yescharacteristic
1258C24C23×D1111yescharacteristic
1259C24C23×D1111yescharacteristic
1260#41—2232no—
1261#41—4416no—
1262C2×Q8—222no—
1263C2×Q8—222no—
1264C2×Q8—222no—
1265C2×Q8—222no—
1266C2×Q8—222no—
1267C2×Q8—441no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—114no—
1278C2×D4—114no—
1279C2×D4—222no—
1280C2×D4—222no—
1281C2×D4—222no—
1282C2×D4—222no—
1283C2×D4—222no—
1284C2×D4—222no—
1285C2×D4—222no—
1286C2×D4—222no—
1287C2×D4—222no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—222no—
1291C2×D4—222no—
1292C2×D4—222no—
1293C2×D4—222no—
1294C2×D4—222no—
1295C2×D4—222no—
1296C2×D4—222no—
1297C2×D4—222no—
1298C2×D4—222no—
1299C2×D4—441no—
1300C2×D4—441no—
1301C2×D4—441no—
1302C2×D4—441no—
1303C2×D4—441no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—41no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—111no—
1323C22×C4—111no—
1324C22×C4—114no—
1325C22×C4—114no—
1326C22×C4—114no—
1327C22×C4—114no—
1328C22×C4—111no—
1329C22×C4—111no—
1330C22×C4—111no—
1331C22×C4—111no—
1332C22×C4—111no—
1333C22×C4—111no—
1334C22×C4—111no—
1335C22×C4—111no—
1336C22×C4—222no—
1337C22×C4—222no—
1338C22×C4—222no—
1339C22×C4—222no—
1340C22×C4—222no—
1341C22×C4—222no—
1342C22×C4—222no—
1343C22×C4—222no—
1344C22×C4—222no—
1345C22×C4—222no—
1346C22×C4—222no—
1347C22×C4—222no—
1348C22×C4—222no—
1349C22×C4—222no—
1350C22×C4—222no—
1351C22×C4—222no—
1352C22×C4—222no—
1353C22×C4—222no—
1354C22×C4—222no—
1355C22×C4—222no—
1356C22×C4—222no—
1357C22×C4—222no—
1358C22×C4—222no—
1359C22×C4—222no—
1360C22×C4—441no—
1361C22×C4—441no—
1362C22×C4—441no—
1363C22×C4—441no—
1364C22×C4—441no—
1365C22×C4—441no—
1366C22×C4—441no—
1367C22×C4—4416no—
1368C22×C4—441no—
1369C22×C4C23×D1111yescharacteristic
1370C22×C4C23×D1111yescharacteristic
1371C22×C4C23×D1111yescharacteristic
1372C22×C4C23×D1111yescharacteristic
1373C22×C4C23×D1111yescharacteristic
1374C22×C4C23×D1111yescharacteristic
1375C22×C4C23×D1111yescharacteristic
1376C22×C4C23×D1111yescharacteristic
1377C22×C4C23×D1111yescharacteristic
1378C22×C4C23×D1111yescharacteristic
1379C22×C4C23×D1111yescharacteristic
1380C22×C4C23×D1111yescharacteristic
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—41no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—114no—
1387C4⋊C4—222no—
1388C4⋊C4—222no—
1389C4⋊C4—222no—
1390C4⋊C4—222no—
1391C4⋊C4—222no—
1392C4⋊C4—222no—
1393C4⋊C4—222no—
1394C4⋊C4—222no—
1395C4⋊C4—222no—
1396C4⋊C4—222no—
1397C4⋊C4—222no—
1398C4⋊C4—222no—
1399C4⋊C4—222no—
1400C4⋊C4—222no—
1401C4⋊C4—222no—
1402C4⋊C4—441no—
1403C4⋊C4—441no—
1404C4⋊C4—441no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—114no—
1415C22⋊C4—114no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—222no—
1421C22⋊C4—222no—
1422C22⋊C4—222no—
1423C22⋊C4—222no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—222no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—222no—
1432C22⋊C4—222no—
1433C22⋊C4—222no—
1434C22⋊C4—222no—
1435C22⋊C4—222no—
1436C22⋊C4—222no—
1437C22⋊C4—222no—
1438C22⋊C4—222no—
1439C22⋊C4—222no—
1440C22⋊C4—222no—
1441C22⋊C4—222no—
1442C22⋊C4—222no—
1443C22⋊C4—441no—
1444C22⋊C4—441no—
1445C22⋊C4—441no—
1446C22⋊C4—441no—
1447C22⋊C4—441no—
1448C22⋊C4—441no—
1449C22⋊C4—441no—
1450C22⋊C4#433914yescomplemented
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—222no—
1457C42—222no—
1458C42—222no—
1459C42—222no—
1460C42—222no—
1461C42—222no—
1462C42—222no—
1463C42—222no—
1464C42—222no—
1465C42—441no—
1466C42—441no—
1467C42D4×D1114yes—
1468C11#3473211yescharacteristic, complemented, Sylow
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—112no—
1489C23—112no—
1490C23—112no—
1491C23—112no—
1492C23—112no—
1493C23—228no—
1494C23—221no—
1495C23—221no—
1496C23—221no—
1497C23—221no—
1498C23—221no—
1499C23—221no—
1500C23—221no—
1501C23—221no—
1502C23—221no—
1503C23—221no—
1504C23—221no—
1505C23—221no—
1506C23—221no—
1507C23—221no—
1508C23—221no—
1509C23—221no—
1510C23—444no—
1511C23—444no—
1512C23—444no—
1513C23—444no—
1514C23—444no—
1515C23—444no—
1516C23C2×#433912yes—
1517C23#41×D1112yes—
1518C23C24×D1111yescharacteristic
1519Q8—228no—
1520Q8—444no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—228no—
1525D4—228no—
1526D4—228no—
1527D4—444no—
1528D4—444no—
1529D4—444no—
1530D4—444no—
1531D4—444no—
1532D4—444no—
1533C2×C4—28no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—112no—
1567C2×C4—112no—
1568C2×C4—112no—
1569C2×C4—112no—
1570C2×C4—112no—
1571C2×C4—228no—
1572C2×C4—228no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—228no—
1584C2×C4—228no—
1585C2×C4—228no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—221no—
1599C2×C4—221no—
1600C2×C4—221no—
1601C2×C4—221no—
1602C2×C4—221no—
1603C2×C4—221no—
1604C2×C4—221no—
1605C2×C4—221no—
1606C2×C4—221no—
1607C2×C4—221no—
1608C2×C4—221no—
1609C2×C4—221no—
1610C2×C4—444no—
1611C2×C4—444no—
1612C2×C4—444no—
1613C2×C4—444no—
1614C2×C4—444no—
1615C2×C4—444no—
1616C2×C4—444no—
1617C2×C4C2×#433912yes—
1618C2×C4C2×#433912yes—
1619C2×C4C2×D4×D1112yes—
1620C2×C4C2×D4×D1112yes—
1621C2×C4C2×D4×D1112yes—
1622C2×C4#6703712yes—
1623C2×C4#41×D1112yes—
1624C2×C4#41×D1112yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—114no—
1647C22—222no—
1648C22—222no—
1649C22—222no—
1650C22—222no—
1651C22—222no—
1652C22—222no—
1653C22—222no—
1654C22—222no—
1655C22—222no—
1656C22—222no—
1657C22—222no—
1658C22—222no—
1659C22—4416no—
1660C22—441no—
1661C22—441no—
1662C22—441no—
1663C22—441no—
1664C22—441no—
1665C22—441no—
1666C22—441no—
1667C22—441no—
1668C22C22×#433911yescharacteristic
1669C22C22×D4×D1111yescharacteristic
1670C22C2×#6703711yescharacteristic
1671C22C2×#41×D1111yescharacteristic
1672C22C2×#41×D1111yescharacteristic
1673C22C2×#41×D1111yescharacteristic
1674C22#1062345311yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—222no—
1687C4—222no—
1688C4—222no—
1689C4—222no—
1690C4—222no—
1691C4—441no—
1692C4—441no—
1693C4—441no—
1694C4—441no—
1695C4—441no—
1696C4—441no—
1697C4—441no—
1698C4—441no—
1699C4#1062314314yes—
1700C2—42no—
1701C2—42no—
1702C2—81no—
1703C2—224no—
1704C2—442no—
1705C2—442no—
1706C2D11×#52511yescharacteristic
1707C2#1308190911yescharacteristic
1708C2#1308203011yescharacteristic
1709C2C2×#1062314311yescharacteristic
1710C2D4×#433911yescharacteristic
1711C2#1308216811yescharacteristic
1712C2#1308222011yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC4×C11×#121C2
hypercenterC4×#121D11
hypocenterC11#34732
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. C2×#10623078C2semidirect
2. C2×C4×#4339C2semidirect
3. #13072814C2semidirect
4. #13072807C2semidirect
5. #13072726C2semidirect
6. #13072719C2semidirect
7. #13072634C2semidirect
8. #13072627C2semidirect
9. #13072537C2semidirect
10. #13072530C2semidirect
11. #13072447C2semidirect
12. #13072373C2semidirect
13. #13072299C2semidirect
14. #13072223C2semidirect
15. #13072149C2semidirect
16. #13072083C2semidirect
17. #13071998C2semidirect
18. #13071933C2semidirect
19. #13071900C2semidirect
20. #13071888C2semidirect
21. #13071854C2semidirect
22. #13071831C2semidirect
23. C4×#66936C2semidirect
24. C4×#66936C2semidirect
25. C4×#66991C2semidirect
26. C4×#66990C2semidirect
27. #13071102C2semidirect
28. #13071059C2semidirect
29. #13071057C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C4×C11×#121C2semidirect
38. C2×C4×D4×C11C22semidirect
39. C22×C42×C11C22semidirect
49. C2×C4×C22⋊D11C22semidirect
50. C2×C4×C22⋊D11C22semidirect
51. C2×#66979C22semidirect
68. C2×#66925C22semidirect
69. C2×#66925C22semidirect
72. C2×C42×D11C22semidirect
73. C2×C4×Dic22C22semidirect
74. C2×C4×Dic22C22semidirect
76. C11×#389C22semidirect
78. C11×#388C22semidirect
80. C11×#386C22semidirect
81. C11×#380C22semidirect
82. C4×C11×C4⋊C4C22semidirect
84. C4×C11×C22⋊C4C22semidirect
87. #10622836C22semidirect
91. #10622834C22semidirect
95. #10622823C22semidirect
96. #10622823C22semidirect
99. C4×C22⋊Dic11C22semidirect
100. C4×C22⋊Dic11C22semidirect
101. C4×C22⋊Dic11C22semidirect
104. #10622606C22semidirect
106. #10622603C22semidirect
107. #10622603C22semidirect
113. #10622596C22semidirect
114. #10622596C22semidirect
115. #10622595C22semidirect
116. #10622595C22semidirect
117. #10622593C22semidirect
118. #10622592C22semidirect
119. #10622586C22semidirect
121. #10622574C22semidirect
124. #10622572C22semidirect
133. #10622569C22semidirect
134. #10622569C22semidirect
137. #10622566C22semidirect
139. #10622564C22semidirect
141. #10622561C22semidirect
143. #10622560C22semidirect
144. #10622560C22semidirect
147. #10622558C22semidirect
148. #10622557C22semidirect
149. #10622557C22semidirect
158. C4×(C2×D11)⋊C4C22semidirect
159. C4×C4⋊Dic11C22semidirect
160. C4×C4⋊Dic11C22semidirect
161. #10622546C22semidirect
162. #10622546C22semidirect
163. #10622545C22semidirect
164. C4×Dic11⋊C4C22semidirect
168. #10622281C22semidirect
176. #10622277C22semidirect
179. #10622272C22semidirect
180. #10622269C22semidirect
181. #10622267C22semidirect
182. #10622267C22semidirect
183. #10622267C22semidirect
184. #10622267C22semidirect
185. #10622265C22semidirect
186. #10622265C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
345. C4×D44D4semidirect
461. C2×C22⋊D11#41semidirect
518. C2×C4×D11#41semidirect
519. C2×C4×D11#41semidirect
540. C11×C22⋊C4#41semidirect
638. C4×#121D11semidirect
831. C2×C4×D4C2×D11semidirect
842. C22×C42C2×D11semidirect
882. #389C2×D11semidirect
894. #388C2×D11semidirect
919. #386C2×D11semidirect
932. #380C2×D11semidirect
937. C4×C4⋊C4C2×D11semidirect
953. C4×C22⋊C4C2×D11semidirect
1450. C22⋊C4#4339semidirect
1468. C11#34732semidirect

Maximal subgroups

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

subgroupindex
C2×#106230782
C2×C4×#43392
#130728142
#130728072
#130727262
#130727192
#130726342
#130726272
#130725372
#130725302
#130724472
#130723732
#130722992
#130722232
#130721492
#130720832
#130719982
#130719332
#130719002
#130718882
#130718542
#130718312
C4×#669362
C4×#669912
C4×#669902
#130711022
#130710592
#130710572
C4×C22⋊C4×D112
C4×C11×#1212
#3473211