Finite Group Databasebeta

← #14921540

Subgroups — #14921540

Order 2816.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D11C211yesmaximal, characteristic, complemented
2#13072873C211yesmaximal, characteristic, complemented
3#13072858C211yesmaximal, characteristic, complemented
4#13072753C211yesmaximal, characteristic, complemented
5#13072738C211yesmaximal, characteristic, complemented
6#13072663C211yesmaximal, characteristic, complemented
7#13072648C211yesmaximal, characteristic, complemented
8#13072564C211yesmaximal, characteristic, complemented
9#13072549C211yesmaximal, characteristic, complemented
10#13072436C211yesmaximal, characteristic, complemented
11#13072362C211yesmaximal, characteristic, complemented
12#13072279C211yesmaximal, characteristic, complemented
13#13072163C211yesmaximal, characteristic, complemented
14#13072089C211yesmaximal, characteristic, complemented
15#13072008C211yesmaximal, characteristic, complemented
16#13071987C211yesmaximal, characteristic
17#13071940C211yesmaximal, characteristic, complemented
18#13071899C211yesmaximal, characteristic, complemented
19#13071873C211yesmaximal, characteristic, complemented
20#13071858C211yesmaximal, characteristic, complemented
21#13071852C211yesmaximal, characteristic, complemented
22C4×#66999C211yesmaximal, characteristic, complemented
23C4×#66982C211yesmaximal, characteristic, complemented
24C4×#66992C211yesmaximal, characteristic, complemented
25C4×#66990C211yesmaximal, characteristic, complemented
26C4×#66990C211yesmaximal, characteristic, complemented
27#13071061C211yesmaximal, characteristic, complemented
28#13071053C211yesmaximal, characteristic, complemented
29#13070995C211yesmaximal, characteristic, complemented
30C2×C4×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
31C2×C11×#529C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C11×#529—28no—
36C2×C11×#126C2211yescharacteristic, complemented
37C2×C11×#126C2211yescharacteristic, complemented
38C2×C11×#125C2211yescharacteristic, complemented
39C2×C11×#124C2211yescharacteristic, complemented
40C2×C11×#123C2211yescharacteristic
41C2×C11×#123C2211yescharacteristic, complemented
42C2×C11×C22⋊Q8C2211yescharacteristic, complemented
43C2×C11×#121C2211yescharacteristic
44C2×C4×Q8×C11C2211yescharacteristic, complemented
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic, complemented
47C2×C4×D4×C11C2211yescharacteristic, complemented
48C2×C11×#117C2211yescharacteristic, complemented
49C2×C11×#117C2211yescharacteristic, complemented
50C22×C42×C11C2211yescharacteristic, complemented
51C2×#66999C2211yescharacteristic
52C2×#66992C2211yescharacteristic
53C2×#66990C2211yescharacteristic
54C2×#66990C2211yescharacteristic
55C2×D4×Dic11C2211yescharacteristic
56C2×#66982C2211yescharacteristic
57C2×C4×C22⋊D11C2211yescharacteristic
58C2×C4×C22⋊D11C2211yescharacteristic
59C2×C4×C22⋊D11C2211yescharacteristic
60C2×C4×C22⋊D11C2211yescharacteristic, complemented
61C2×C4×C22⋊D11C2211yescharacteristic, complemented
62C22×(C2×D11)⋊C4C2211yescharacteristic
63C22×(C2×D11)⋊C4C2211yescharacteristic
64C2×#66979C2211yescharacteristic, complemented
65C22×C4×Dic11C2211yescharacteristic, complemented
66C4×D4×D11—28no—
67C2×#66946C2211yescharacteristic
68C2×C4⋊C4×D11C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic
70C2×(C22⋊D11)⋊C4C2211yescharacteristic
71C2×C22⋊C4×D11C2211yescharacteristic
72C2×C22⋊C4×D11C2211yescharacteristic
73C2×C4×D44C2211yescharacteristic
74C2×C42×D11C2211yescharacteristic
75#10622844C2211yescharacteristic, complemented
76#10622844C2211yescharacteristic, complemented
77#10622843C2211yescharacteristic, complemented
78#10622836C2211yescharacteristic
79#10622835C2211yescharacteristic, complemented
80#10622833C2211yescharacteristic
81#10622833C2211yescharacteristic
82#10622833C2211yescharacteristic, complemented
83#10622833C2211yescharacteristic, complemented
84#10622833C2211yescharacteristic, complemented
85#10622826C2211yescharacteristic
86#10622824C2211yescharacteristic, complemented
87#10622823C2211yescharacteristic, complemented
88C4×C22⋊Dic11C2211yescharacteristic, complemented
89C4×C22⋊Dic11C2211yescharacteristic, complemented
90C4×C22⋊Dic11C2211yescharacteristic, complemented
91C2×C11⋊#95C2211yescharacteristic, complemented
92C2×C11⋊#95C2211yescharacteristic, complemented
93#10622607C2211yescharacteristic, complemented
94#10622607C2211yescharacteristic, complemented
95#10622607C2211yescharacteristic, complemented
96#10622606C2211yescharacteristic, complemented
97#10622606C2211yescharacteristic, complemented
98#10622606C2211yescharacteristic, complemented
99#10622605C2211yescharacteristic, complemented
100#10622604C2211yescharacteristic
101#10622604C2211yescharacteristic
102#10622604C2211yescharacteristic
103#10622603C2211yescharacteristic, complemented
104#10622602C2211yescharacteristic
105#10622602C2211yescharacteristic
106#10622602C2211yescharacteristic
107#10622602C2211yescharacteristic
108#10622602C2211yescharacteristic
109#10622602C2211yescharacteristic
110#10622602C2211yescharacteristic, complemented
111#10622602C2211yescharacteristic, complemented
112#10622600C2211yescharacteristic
113#10622600C2211yescharacteristic
114#10622600C2211yescharacteristic
115#10622600C2211yescharacteristic, complemented
116#10622600C2211yescharacteristic, complemented
117#10622599C2211yescharacteristic, complemented
118#10622599C2211yescharacteristic, complemented
119#10622597C2211yescharacteristic, complemented
120#10622596C2211yescharacteristic, complemented
121#10622595C2211yescharacteristic, complemented
122#10622594C2211yescharacteristic, complemented
123#10622594C2211yescharacteristic, complemented
124#10622593C2211yescharacteristic, complemented
125#10622591C2211yescharacteristic, complemented
126#10622591C2211yescharacteristic, complemented
127#10622591C2211yescharacteristic, complemented
128#10622591C2211yescharacteristic, complemented
129#10622586C2211yescharacteristic, complemented
130#10622585C2211yescharacteristic, complemented
131#10622574C2211yescharacteristic, complemented
132#10622574C2211yescharacteristic, complemented
133#10622574C2211yescharacteristic, complemented
134#10622573C2211yescharacteristic
135#10622572C2211yescharacteristic
136#10622572C2211yescharacteristic
137#10622572C2211yescharacteristic
138#10622571C2211yescharacteristic
139#10622570C2211yescharacteristic, complemented
140#10622569C2211yescharacteristic
141#10622569C2211yescharacteristic
142#10622569C2211yescharacteristic
143#10622569C2211yescharacteristic
144#10622569C2211yescharacteristic, complemented
145#10622569C2211yescharacteristic, complemented
146#10622568C2211yescharacteristic
147#10622568C2211yescharacteristic
148#10622568C2211yescharacteristic
149#10622568C2211yescharacteristic
150#10622566C2211yescharacteristic, complemented
151#10622565C2211yescharacteristic, complemented
152#10622565C2211yescharacteristic, complemented
153#10622565C2211yescharacteristic, complemented
154#10622564C2211yescharacteristic, complemented
155#10622564C2211yescharacteristic, complemented
156#10622563C2211yescharacteristic, complemented
157#10622563C2211yescharacteristic, complemented
158#10622561C2211yescharacteristic, complemented
159#10622559C2211yescharacteristic, complemented
160#10622559C2211yescharacteristic, complemented
161#10622558C2211yescharacteristic, complemented
162#10622557C2211yescharacteristic, complemented
163#10622557C2211yescharacteristic, complemented
164#10622556C2211yescharacteristic, complemented
165#10622556C2211yescharacteristic, complemented
166#10622555C2211yescharacteristic, complemented
167#10622553C2211yescharacteristic, complemented
168#10622553C2211yescharacteristic, complemented
169C4×(C2×D11)⋊C4C2211yescharacteristic
170C4×(C2×D11)⋊C4C2211yescharacteristic
171C4×(C2×D11)⋊C4C2211yescharacteristic
172C4×(C2×D11)⋊C4C2211yescharacteristic
173C4×(C2×D11)⋊C4C2211yescharacteristic
174C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
175C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
176C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
177C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
178C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
179C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
180C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
181C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
182C4×C4⋊Dic11C2211yescharacteristic, complemented
183#10622546C2211yescharacteristic, complemented
184#10622546C2211yescharacteristic, complemented
185#10622545C2211yescharacteristic, complemented
186C4×Dic11⋊C4C2211yescharacteristic, complemented
187C4×Dic11⋊C4C2211yescharacteristic, complemented
188C4×Dic11⋊C4C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C2×D4×D11—24no—
210C2×D4×D11—24no—
211C2×D4×D11—24no—
212C22×D44C2311yescharacteristic
213C22×C4×D11—24no—
214C22×C4×D11—24no—
215C22×C4×D11—24no—
216C22×C4×D11—24no—
217C22×C4×D11—42no—
218C22×C4×D11—42no—
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
228C11×#126—24no—
229C11×#126—24no—
230C11×#125—24no—
231C11×#124—24no—
232C11×#123—24no—
233C11×#123—24no—
234C11×C22⋊Q8—24no—
235C11×#121—24no—
236C4×Q8×C11—24no—
237C4×D4×C11—24no—
238C4×D4×C11—24no—
239C4×D4×C11D418yescomplemented
240C11×#117—24no—
241C11×#117—24no—
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C4⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C42×C11—24no—
263C2×C42×C11C2311yescharacteristic
264C2×C42×C11C2311yescharacteristic
265C2×C42×C11C2311yescharacteristic
266C2×C42×C11C2311yescharacteristic
267C2×C42×C11C2311yescharacteristic
268C2×C42×C11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282#66999—24no—
283#66992—24no—
284#66990—24no—
285#66990—24no—
286D4×Dic11—24no—
287#66982—24no—
288C4×C22⋊D11—24no—
289C4×C22⋊D11—24no—
290C4×C22⋊D11—24no—
291C4×C22⋊D11—42no—
292C4×C22⋊D11—42no—
293C2×(C2×D11)⋊C4—24no—
294C2×(C2×D11)⋊C4—24no—
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
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×(C2×D11)⋊C4C2311yescharacteristic
320#66979—42no—
321C2×C4⋊Dic11C2311yescharacteristic
322C2×C4⋊Dic11C2311yescharacteristic
323C2×C4⋊Dic11C2311yescharacteristic
324C2×C4⋊Dic11C2311yescharacteristic
325C2×C4⋊Dic11C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
336C2×Dic11⋊C4C2311yescharacteristic
337C2×C4×Dic11—42no—
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346C2×C4×Dic11C2311yescharacteristic
347#66946—24no—
348C4⋊C4×D11—24no—
349(C22⋊D11)⋊C4—24no—
350(C22⋊D11)⋊C4—24no—
351C22⋊C4×D11—24no—
352C22⋊C4×D11—24no—
353C4×D44—24no—
354C42×D11—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#34670—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—22no—
401C23×D11—22no—
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—41no—
405C23×D11—41no—
406C23×D11—41no—
407C23×D11—41no—
408C23×D11#4114yes—
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C2×Q8×C11—22no—
413C2×Q8×C11—22no—
414C2×Q8×C11—41no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—22no—
418C2×D4×C11—22no—
419C2×D4×C11—22no—
420C2×D4×C11—22no—
421C2×D4×C11—22no—
422C2×D4×C11—41no—
423C2×D4×C11C2×D414yes—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—22no—
429C22×C4×C11—22no—
430C22×C4×C11—22no—
431C22×C4×C11—22no—
432C22×C4×C11—22no—
433C22×C4×C11—22no—
434C22×C4×C11—22no—
435C22×C4×C11—22no—
436C22×C4×C11—41no—
437C22×C4×C11C2×D414yes—
438C22×C4×C11C2×D414yes—
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
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—22no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11#4114yes—
466C22×Dic11—22no—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—22no—
470C22×Dic11—22no—
471C22×Dic11—22no—
472C22×Dic11—22no—
473C22×Dic11—41no—
474C22×Dic11—41no—
475C22×Dic11—41no—
476C22×Dic11—41no—
477C22×Dic11—41no—
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491D4×D11—232no—
492C2×D44—22no—
493C2×D44—22no—
494C2×D44—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—22no—
509C2×C4×D11—22no—
510C2×C4×D11—22no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—22no—
514C2×C4×D11—22no—
515C2×C4×D11—22no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—416no—
522C2×C4×D11—416no—
523C2×C4×D11#4114yes—
524C11×C4⋊C4—22no—
525C11×C4⋊C4—22no—
526C11×C4⋊C4—22no—
527C11×C4⋊C4—22no—
528C11×C4⋊C4—22no—
529C11×C4⋊C4—22no—
530C11×C4⋊C4—22no—
531C11×C4⋊C4—22no—
532C11×C4⋊C4—22no—
533C11×C4⋊C4C2×D414yes—
534C11×C22⋊C4—22no—
535C11×C22⋊C4—22no—
536C11×C22⋊C4—22no—
537C11×C22⋊C4—22no—
538C11×C22⋊C4—22no—
539C11×C22⋊C4—22no—
540C11×C22⋊C4—22no—
541C11×C22⋊C4—22no—
542C11×C22⋊C4C2×D414yes—
543C11×C22⋊C4C2×D414yes—
544C42×C11—22no—
545C42×C11—22no—
546C42×C11—22no—
547C42×C11—22no—
548C42×C11—22no—
549C42×C11C2×D414yes—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—41no—
558C22⋊Dic11—41no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
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—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—41no—
583(C2×D11)⋊C4—41no—
584(C2×D11)⋊C4—41no—
585(C2×D11)⋊C4—41no—
586(C2×D11)⋊C4—41no—
587(C2×D11)⋊C4#4114yes—
588C4⋊Dic11—22no—
589C4⋊Dic11—22no—
590C4⋊Dic11—41no—
591C4⋊Dic11—41no—
592C4⋊Dic11—41no—
593Dic11⋊C4—22no—
594Dic11⋊C4—22no—
595Dic11⋊C4—22no—
596Dic11⋊C4—22no—
597Dic11⋊C4—22no—
598Dic11⋊C4—22no—
599Dic11⋊C4—22no—
600Dic11⋊C4—22no—
601Dic11⋊C4—41no—
602Dic11⋊C4—41no—
603Dic11⋊C4—41no—
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×#529D1111yescharacteristic, complemented
614C22×C4×D4—111no—
615#2481—111no—
616#2480—111no—
617#2473—111no—
618#2472—111no—
619#2467—111no—
620#2466—111no—
621#2460—111no—
622#2459—111no—
623#2450—111no—
624#2444—111no—
625#2437—111no—
626#2425—111no—
627#2419—111no—
628#2412—111no—
629#2410—111no—
630#2405—111no—
631#2398—111no—
632#2395—111no—
633#2392—111no—
634#2392—111no—
635C4×C22⋊Q8—111no—
636C4×#123—111no—
637C4×#121—111no—
638C4×#120—111no—
639C4×#120—111no—
640#2290—111no—
641#2290—111no—
642#2280—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×C11C22×D412yes—
662C23×C11C22×D412yes—
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—28no—
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—21no—
684C22×D11—28no—
685C22×D11—44no—
686C22×D11—44no—
687C22×D11—44no—
688C22×D11—44no—
689C22×D11—44no—
690C22×D11—44no—
691C22×D11—44no—
692C22×D11—44no—
693C22×D11—44no—
694C22×D11—44no—
695C22×D11—44no—
696C22×D11C2×#4112yes—
697C22×D11C2×#4112yes—
698C22×D11C2×#4112yes—
699C22×D11C2×#4112yes—
700C22×D11C2×#4112yes—
701Q8×C11—44no—
702D4×C11—28no—
703D4×C11—44no—
704D4×C11—44no—
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—28no—
716C2×C4×C11—28no—
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—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—44no—
736C2×C4×C11—44no—
737C2×C4×C11—44no—
738C2×C4×C11C22×D412yes—
739C2×C4×C11C22×D412yes—
740C2×C4×C11C22×D412yes—
741C2×C4×C11C22×D412yes—
742C2×C4×C11C22×D412yes—
743C2×C4×C11C2×#4112yes—
744C2×C4×C11C2×#4112yes—
745C2×C4×C11H(5,𝔽2)12yes—
746C22⋊D11—28no—
747C22⋊D11—28no—
748C22⋊D11—44no—
749C22⋊D11—44no—
750C22⋊D11—44no—
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—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—44no—
788C2×Dic11—44no—
789C2×Dic11—44no—
790C2×Dic11—44no—
791C2×Dic11C2×#4112yes—
792C2×Dic11C2×#4112yes—
793C2×Dic11C2×#4112yes—
794D44—28no—
795C4×D11—28no—
796C4×D11—28no—
797C4×D11—44no—
798C4×D11—44no—
799C4×D11—44no—
800C4×D11—44no—
801C4×D11—44no—
802C4×D11—44no—
803C4×D11—44no—
804C23×D4—111no—
805C24×C4—111no—
806C24×C4—111no—
807#529—28no—
808C2×#126C2×D1111yescharacteristic, complemented
809C2×#126C2×D1111yescharacteristic, complemented
810C2×#125C2×D1111yescharacteristic, complemented
811C2×#124C2×D1111yescharacteristic, complemented
812C2×#123—111no—
813C2×#123C2×D1111yescharacteristic
814C2×#123C2×D1111yescharacteristic, complemented
815C2×C22⋊Q8—111no—
816C2×C22⋊Q8C2×D1111yescharacteristic, complemented
817C2×#121—111no—
818C2×#121C2×D1111yescharacteristic
819C2×#120—111no—
820C2×#120—111no—
821C2×C4×Q8C2×D1111yescharacteristic, complemented
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×D4—111no—
830C2×C4×D4—111no—
831C2×C4×D4—111no—
832C2×C4×D4—228no—
833C2×C4×D4C2×D1111yescharacteristic
834C2×C4×D4C2×D1111yescharacteristic, complemented
835C2×C4×D4C2×D1111yescharacteristic, complemented
836C2×#117—111no—
837C2×#117C2×D1111yescharacteristic, complemented
838C2×#117C2×D1111yescharacteristic, complemented
839C22×C4⋊C4—111no—
840C22×C22⋊C4—111no—
841C22×C22⋊C4—111no—
842C22×C22⋊C4—111no—
843C22×C22⋊C4—111no—
844C22×C42—111no—
845C22×C42—111no—
846C22×C42C2×D1111yescharacteristic, complemented
847#400—111no—
848#400—111no—
849#400—111no—
850#399—111no—
851#398—111no—
852#398—111no—
853#398—111no—
854#397—111no—
855#397—111no—
856#397—111no—
857#397—111no—
858#397—111no—
859#397—111no—
860#397—111no—
861#396—111no—
862#396—111no—
863#396—111no—
864#396—111no—
865#394—111no—
866#394—111no—
867#394—111no—
868#394—111no—
869#394—111no—
870#394—111no—
871#394—111no—
872#394—111no—
873#394—111no—
874#394—111no—
875#393—111no—
876#393—111no—
877#392—111no—
878#392—111no—
879#391—111no—
880#390—111no—
881#389—111no—
882#389—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#387—111no—
892#387—111no—
893#387—111no—
894#387—111no—
895#387—111no—
896#387—111no—
897#387—111no—
898#387—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#385—111no—
921#385—111no—
922#385—111no—
923#385—111no—
924#385—111no—
925#381—111no—
926#381—111no—
927#381—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#380—111no—
932#380—111no—
933#380—111no—
934#379—111no—
935#379—111no—
936#379—111no—
937#379—111no—
938C4×C4⋊C4—111no—
939C4×C4⋊C4—111no—
940C4×C4⋊C4—111no—
941C4×C4⋊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⋊C4—111no—
953C4×C22⋊C4—111no—
954C4×C22⋊C4—111no—
955C4×C22⋊C4—111no—
956C4×C22⋊C4—111no—
957C4×C22⋊C4—111no—
958#376—111no—
959C2×#95—111no—
960C2×#95—111no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—22no—
964C22×C11—22no—
965C22×C11—22no—
966C22×C11—22no—
967C22×C11—22no—
968C22×C11—22no—
969C22×C11—22no—
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×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11#52514yes—
982C22×C11C23×D411yescharacteristic
983C22×C11C22×#4111yescharacteristic
984C22×C11C22×#4111yescharacteristic
985C22×C11C22×#4111yescharacteristic
986C22×C11C22×#4111yescharacteristic
987C22×C11C2×H(5,𝔽2)11yescharacteristic
988C22×C11#58511yescharacteristic
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—22no—
998C2×D11—22no—
999C2×D11—22no—
1000C2×D11—22no—
1001C2×D11—416no—
1002C2×D11—416no—
1003C2×D11—41no—
1004C2×D11—41no—
1005C2×D11—41no—
1006C2×D11—41no—
1007C2×D11—41no—
1008C2×D11—41no—
1009C2×D11—41no—
1010C2×D11—41no—
1011C2×D11#52914yescomplemented
1012C4×C11—22no—
1013C4×C11—22no—
1014C4×C11—22no—
1015C4×C11—22no—
1016C4×C11—22no—
1017C4×C11—41no—
1018C4×C11—41no—
1019C4×C11—41no—
1020C4×C11—41no—
1021C4×C11—41no—
1022C4×C11—41no—
1023C4×C11#54614yes—
1024Dic11—22no—
1025Dic11—22no—
1026Dic11—22no—
1027Dic11—41no—
1028Dic11—41no—
1029Dic11—41no—
1030Dic11—41no—
1031Dic11—41no—
1032Dic11—41no—
1033Dic11—41no—
1034Dic11—41no—
1035Dic11—41no—
1036Dic11—41no—
1037C25—111no—
1038C25—111no—
1039C22×Q8C22×D1111yescharacteristic
1040C22×D4—111no—
1041C22×D4—111no—
1042C22×D4—111no—
1043C22×D4—111no—
1044C22×D4—111no—
1045C22×D4—111no—
1046C22×D4—224no—
1047C22×D4—224no—
1048C22×D4—224no—
1049C22×D4C22×D1111yescharacteristic
1050C22×D4C22×D1111yescharacteristic
1051C22×D4C22×D1111yescharacteristic
1052C23×C4—111no—
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—224no—
1068C23×C4—224no—
1069C23×C4—442no—
1070C23×C4—442no—
1071C23×C4C22×D1111yescharacteristic
1072C23×C4C22×D1111yescharacteristic
1073C23×C4C22×D1111yescharacteristic
1074C23×C4C22×D1111yescharacteristic
1075C23×C4C22×D1111yescharacteristic
1076#126—24no—
1077#126—24no—
1078#125—24no—
1079#124—24no—
1080#123—24no—
1081#123—24no—
1082#123—224no—
1083C22⋊Q8—24no—
1084C22⋊Q8—224no—
1085#121—24no—
1086#121—224no—
1087#120—224no—
1088#120—224no—
1089C4×Q8—24no—
1090C4×D4—24no—
1091C4×D4—24no—
1092C4×D4—224no—
1093C4×D4—224no—
1094C4×D4—224no—
1095C4×D4—224no—
1096C4×D4—224no—
1097C4×D4—224no—
1098C4×D4—224no—
1099C4×D4—224no—
1100C4×D4—442no—
1101C4×D4—442no—
1102C4×D4C22⋊D1118yescomplemented
1103#117—24no—
1104#117—24no—
1105#117—442no—
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—224no—
1123C2×C4⋊C4C22×D1111yescharacteristic
1124C2×C4⋊C4C22×D1111yescharacteristic
1125C2×C4⋊C4C22×D1111yescharacteristic
1126C2×C4⋊C4C22×D1111yescharacteristic
1127C2×C4⋊C4C22×D1111yescharacteristic
1128C2×C4⋊C4C22×D1111yescharacteristic
1129C2×C4⋊C4C22×D1111yescharacteristic
1130C2×C4⋊C4C22×D1111yescharacteristic
1131C2×C4⋊C4C22×D1111yescharacteristic
1132C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—224no—
1172C2×C22⋊C4—224no—
1173C2×C22⋊C4—224no—
1174C2×C22⋊C4—224no—
1175C2×C22⋊C4C22×D1111yescharacteristic
1176C2×C22⋊C4C22×D1111yescharacteristic
1177C2×C22⋊C4C22×D1111yescharacteristic
1178C2×C22⋊C4C22×D1111yescharacteristic
1179C2×C22⋊C4C22×D1111yescharacteristic
1180C2×C22⋊C4C22×D1111yescharacteristic
1181C2×C22⋊C4C22×D1111yescharacteristic
1182C2×C22⋊C4C22×D1111yescharacteristic
1183C2×C22⋊C4C22×D1111yescharacteristic
1184C2×C22⋊C4C22×D1111yescharacteristic
1185C2×C42—24no—
1186C2×C42—111no—
1187C2×C42—111no—
1188C2×C42—111no—
1189C2×C42—111no—
1190C2×C42—111no—
1191C2×C42—111no—
1192C2×C42—111no—
1193C2×C42—111no—
1194C2×C42—111no—
1195C2×C42—224no—
1196C2×C42—442no—
1197C2×C42C22×D1111yescharacteristic
1198C2×C42C22×D1111yescharacteristic
1199C2×C42C22×D1111yescharacteristic
1200C2×C42C22×D1111yescharacteristic
1201C2×C42C22×D1111yescharacteristic
1202C2×C42C22×D1111yescharacteristic
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#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239C2×C11—24no—
1240C2×C11—42no—
1241C2×C11—81no—
1242C2×C11C2×#52511yescharacteristic
1243C2×C11C2×#52911yescharacteristic
1244C2×C11#345911yescharacteristic
1245C2×C11C2×#54611yescharacteristic
1246C2×C11D4×#4111yescharacteristic
1247C2×C11#347511yescharacteristic
1248C2×C11#348111yescharacteristic
1249D11—24no—
1250D11—42no—
1251D11—42no—
1252C24—111no—
1253C24—111no—
1254C24—111no—
1255C24—114no—
1256C24—222no—
1257C24—222no—
1258C24—222no—
1259C24—222no—
1260C24—222no—
1261C24—222no—
1262C24—222no—
1263C24—222no—
1264C24—222no—
1265C24—441no—
1266C24—441no—
1267C24—441no—
1268C24—441no—
1269C24C23×D1111yescharacteristic
1270C24C23×D1111yescharacteristic
1271C24C23×D1111yescharacteristic
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—41no—
1283C2×D4—114no—
1284C2×D4—222no—
1285C2×D4—222no—
1286C2×D4—222no—
1287C2×D4—222no—
1288C2×D4—2232no—
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×D4C2×C22⋊D1114yes—
1303C22×C4—22no—
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—41no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—114no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—111no—
1323C22×C4—111no—
1324C22×C4—111no—
1325C22×C4—111no—
1326C22×C4—111no—
1327C22×C4—111no—
1328C22×C4—111no—
1329C22×C4—111no—
1330C22×C4—222no—
1331C22×C4—222no—
1332C22×C4—222no—
1333C22×C4—222no—
1334C22×C4—222no—
1335C22×C4—222no—
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—441no—
1359C22×C4—441no—
1360C22×C4—441no—
1361C22×C4—441no—
1362C22×C4—441no—
1363C22×C4—4416no—
1364C22×C4—4416no—
1365C22×C4—441no—
1366C22×C4—441no—
1367C22×C4—441no—
1368C22×C4—441no—
1369C22×C4—441no—
1370C22×C4C2×C22⋊D1114yes—
1371C22×C4C2×C22⋊D1114yes—
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
1381C22×C4C23×D1111yescharacteristic
1382C22×C4C23×D1111yescharacteristic
1383C22×C4C23×D1111yescharacteristic
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
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—222no—
1403C4⋊C4—441no—
1404C4⋊C4—441no—
1405C4⋊C4—441no—
1406C4⋊C4—441no—
1407C4⋊C4—441no—
1408C4⋊C4—441no—
1409C4⋊C4C2×C22⋊D1114yes—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—114no—
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—222no—
1444C22⋊C4—222no—
1445C22⋊C4—441no—
1446C22⋊C4—441no—
1447C22⋊C4—441no—
1448C22⋊C4—441no—
1449C22⋊C4—441no—
1450C22⋊C4—441no—
1451C22⋊C4—441no—
1452C22⋊C4—441no—
1453C22⋊C4—441no—
1454C22⋊C4—441no—
1455C22⋊C4—441no—
1456C22⋊C4C2×C22⋊D1114yes—
1457C22⋊C4C2×C22⋊D1114yes—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—222no—
1464C42—222no—
1465C42—222no—
1466C42—222no—
1467C42—222no—
1468C42—222no—
1469C42—222no—
1470C42—441no—
1471C42—441no—
1472C42C2×C22⋊D1114yes—
1473C11#3467011yescharacteristic, complemented, Sylow
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—21no—
1489C23—21no—
1490C23—21no—
1491C23—112no—
1492C23—112no—
1493C23—112no—
1494C23—112no—
1495C23—112no—
1496C23—228no—
1497C23—228no—
1498C23—221no—
1499C23—221no—
1500C23—221no—
1501C23—221no—
1502C23—228no—
1503C23—221no—
1504C23—221no—
1505C23—221no—
1506C23—221no—
1507C23—221no—
1508C23—221no—
1509C23—221no—
1510C23—221no—
1511C23—221no—
1512C23—221no—
1513C23—221no—
1514C23—221no—
1515C23—444no—
1516C23—444no—
1517C23—444no—
1518C23—444no—
1519C23—444no—
1520C23—444no—
1521C23—444no—
1522C23—444no—
1523C23—444no—
1524C23—444no—
1525C23—444no—
1526C23#41×D1112yes—
1527C23#41×D1112yes—
1528C23C22×C22⋊D1112yes—
1529C23C22×C22⋊D1112yes—
1530C23C24×D1111yescharacteristic
1531Q8—44no—
1532D4—28no—
1533D4—44no—
1534D4—44no—
1535D4—228no—
1536D4—228no—
1537D4—228no—
1538D4—444no—
1539D4—444no—
1540D4—444no—
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—28no—
1552C2×C4—28no—
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—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—112no—
1575C2×C4—112no—
1576C2×C4—112no—
1577C2×C4—228no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—228no—
1585C2×C4—221no—
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—221no—
1611C2×C4—221no—
1612C2×C4—221no—
1613C2×C4—221no—
1614C2×C4—221no—
1615C2×C4—444no—
1616C2×C4—444no—
1617C2×C4—444no—
1618C2×C4—444no—
1619C2×C4—444no—
1620C2×C4—444no—
1621C2×C4—444no—
1622C2×C4—444no—
1623C2×C4—444no—
1624C2×C4—444no—
1625C2×C4—444no—
1626C2×C4#41×D1112yes—
1627C2×C4#41×D1112yes—
1628C2×C4#6704212yes—
1629C2×C4C22×C22⋊D1112yes—
1630C2×C4C22×C22⋊D1112yes—
1631C2×C4C22×C22⋊D1112yes—
1632C2×C4C22×C22⋊D1112yes—
1633C2×C4C22×C22⋊D1112yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—114no—
1655C22—222no—
1656C22—222no—
1657C22—222no—
1658C22—222no—
1659C22—222no—
1660C22—222no—
1661C22—222no—
1662C22—222no—
1663C22—222no—
1664C22—222no—
1665C22—222no—
1666C22—222no—
1667C22—4416no—
1668C22—4416no—
1669C22—441no—
1670C22—441no—
1671C22—441no—
1672C22—441no—
1673C22—441no—
1674C22—441no—
1675C22—441no—
1676C22—441no—
1677C22#1062335914yes—
1678C22C2×#41×D1111yescharacteristic
1679C22C2×#41×D1111yescharacteristic
1680C22C2×#41×D1111yescharacteristic
1681C22C2×#41×D1111yescharacteristic
1682C22C2×#6704211yescharacteristic
1683C22#1062345311yescharacteristic
1684C22C23×C22⋊D1111yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—222no—
1697C4—222no—
1698C4—222no—
1699C4—441no—
1700C4—441no—
1701C4—441no—
1702C4—441no—
1703C4—441no—
1704C4—441no—
1705C4—441no—
1706C4—441no—
1707C4—441no—
1708C4—441no—
1709C4#1062336014yes—
1710C2—24no—
1711C2—42no—
1712C2—81no—
1713C2—224no—
1714C2—442no—
1715C2—442no—
1716C2C2×#1062335911yescharacteristic
1717C2D11×#52911yescharacteristic
1718C2#1308202611yescharacteristic
1719C2C2×#1062336011yescharacteristic
1720C2#41×C22⋊D1111yescharacteristic
1721C2#1308216811yescharacteristic
1722C2#1308222211yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#529C2
prime radical#13071987C2
hypercenterC2×#529D11
hypocenterC11#34670
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. C2×C4×D4×D11C2semidirect
2. #13072873C2semidirect
3. #13072858C2semidirect
4. #13072753C2semidirect
5. #13072738C2semidirect
6. #13072663C2semidirect
7. #13072648C2semidirect
8. #13072564C2semidirect
9. #13072549C2semidirect
10. #13072436C2semidirect
11. #13072362C2semidirect
12. #13072279C2semidirect
13. #13072163C2semidirect
14. #13072089C2semidirect
15. #13072008C2semidirect
17. #13071940C2semidirect
18. #13071899C2semidirect
19. #13071873C2semidirect
20. #13071858C2semidirect
21. #13071852C2semidirect
22. C4×#66999C2semidirect
23. C4×#66982C2semidirect
24. C4×#66992C2semidirect
25. C4×#66990C2semidirect
26. C4×#66990C2semidirect
27. #13071061C2semidirect
28. #13071053C2semidirect
29. #13070995C2semidirect
30. C2×C4×(C2×D11)⋊C4C2semidirect
31. C2×C11×#529C2semidirect
36. C2×C11×#126C22semidirect
37. C2×C11×#126C22semidirect
38. C2×C11×#125C22semidirect
39. C2×C11×#124C22semidirect
41. C2×C11×#123C22semidirect
42. C2×C11×C22⋊Q8C22semidirect
44. C2×C4×Q8×C11C22semidirect
46. C2×C4×D4×C11C22semidirect
47. C2×C4×D4×C11C22semidirect
48. C2×C11×#117C22semidirect
49. C2×C11×#117C22semidirect
50. C22×C42×C11C22semidirect
60. C2×C4×C22⋊D11C22semidirect
61. C2×C4×C22⋊D11C22semidirect
64. C2×#66979C22semidirect
65. C22×C4×Dic11C22semidirect
75. #10622844C22semidirect
76. #10622844C22semidirect
77. #10622843C22semidirect
79. #10622835C22semidirect
82. #10622833C22semidirect
83. #10622833C22semidirect
84. #10622833C22semidirect
86. #10622824C22semidirect
87. #10622823C22semidirect
88. C4×C22⋊Dic11C22semidirect
89. C4×C22⋊Dic11C22semidirect
90. C4×C22⋊Dic11C22semidirect
91. C2×C11⋊#95C22semidirect
92. C2×C11⋊#95C22semidirect
93. #10622607C22semidirect
94. #10622607C22semidirect
95. #10622607C22semidirect
96. #10622606C22semidirect
97. #10622606C22semidirect
98. #10622606C22semidirect
99. #10622605C22semidirect
103. #10622603C22semidirect
110. #10622602C22semidirect
111. #10622602C22semidirect
115. #10622600C22semidirect
116. #10622600C22semidirect
117. #10622599C22semidirect
118. #10622599C22semidirect
119. #10622597C22semidirect
120. #10622596C22semidirect
121. #10622595C22semidirect
122. #10622594C22semidirect
123. #10622594C22semidirect
124. #10622593C22semidirect
125. #10622591C22semidirect
126. #10622591C22semidirect
127. #10622591C22semidirect
128. #10622591C22semidirect
129. #10622586C22semidirect
130. #10622585C22semidirect
131. #10622574C22semidirect
132. #10622574C22semidirect
133. #10622574C22semidirect
139. #10622570C22semidirect
144. #10622569C22semidirect
145. #10622569C22semidirect
150. #10622566C22semidirect
151. #10622565C22semidirect
152. #10622565C22semidirect
153. #10622565C22semidirect
154. #10622564C22semidirect
155. #10622564C22semidirect
156. #10622563C22semidirect
157. #10622563C22semidirect
158. #10622561C22semidirect
159. #10622559C22semidirect
160. #10622559C22semidirect
161. #10622558C22semidirect
162. #10622557C22semidirect
163. #10622557C22semidirect
164. #10622556C22semidirect
165. #10622556C22semidirect
166. #10622555C22semidirect
167. #10622553C22semidirect
168. #10622553C22semidirect
174. C4×(C2×D11)⋊C4C22semidirect
175. C4×(C2×D11)⋊C4C22semidirect
176. C4×(C2×D11)⋊C4C22semidirect
177. C4×(C2×D11)⋊C4C22semidirect
178. C4×(C2×D11)⋊C4C22semidirect
179. C4×(C2×D11)⋊C4C22semidirect
180. C4×(C2×D11)⋊C4C22semidirect
181. C4×(C2×D11)⋊C4C22semidirect
182. C4×C4⋊Dic11C22semidirect
183. #10622546C22semidirect
184. #10622546C22semidirect
185. #10622545C22semidirect
186. C4×Dic11⋊C4C22semidirect
187. C4×Dic11⋊C4C22semidirect
188. C4×Dic11⋊C4C22semidirect
239. C4×D4×C11D4semidirect
613. C2×#529D11semidirect
808. C2×#126C2×D11semidirect
809. C2×#126C2×D11semidirect
810. C2×#125C2×D11semidirect
811. C2×#124C2×D11semidirect
814. C2×#123C2×D11semidirect
816. C2×C22⋊Q8C2×D11semidirect
821. C2×C4×Q8C2×D11semidirect
834. C2×C4×D4C2×D11semidirect
835. C2×C4×D4C2×D11semidirect
837. C2×#117C2×D11semidirect
838. C2×#117C2×D11semidirect
846. C22×C42C2×D11semidirect
1011. C2×D11#529semidirect
1102. C4×D4C22⋊D11semidirect
1473. C11#34670semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D112
#130728732
#130728582
#130727532
#130727382
#130726632
#130726482
#130725642
#130725492
#130724362
#130723622
#130722792
#130721632
#130720892
#130720082
#130719872
#130719402
#130718992
#130718732
#130718582
#130718522
C4×#669992
C4×#669822
C4×#669922
C4×#669902
#130710612
#130710532
#130709952
C2×C4×(C2×D11)⋊C42
C2×C11×#5292
#3467011