Finite Group Databasebeta

← #14918315

Subgroups — #14918315

Order 2816.

2844 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623021C211yesmaximal, characteristic
2#13071789C211yesmaximal, characteristic, complemented
3#13071772C211yesmaximal, characteristic, complemented
4#13071772C211yesmaximal, characteristic, complemented
5#13071765C211yesmaximal, characteristic, complemented
6#13071697C211yesmaximal, characteristic, complemented
7#13071632C211yesmaximal, characteristic, complemented
8#13071604C211yesmaximal, characteristic, complemented
9#13071595C211yesmaximal, characteristic, complemented
10#13071592C211yesmaximal, characteristic, complemented
11#13071541C211yesmaximal, characteristic, complemented
12#13071522C211yesmaximal, characteristic, complemented
13#13071465C211yesmaximal, characteristic, complemented
14#13071463C211yesmaximal, characteristic, complemented
15#13071443C211yesmaximal, characteristic, complemented
16C22⋊C4×C22⋊D11C211yesmaximal, characteristic, complemented
17#13071430C211yesmaximal, characteristic, complemented
18#13071401C211yesmaximal, characteristic, complemented
19#13071347C211yesmaximal, characteristic, complemented
20#13071319C211yesmaximal, characteristic, complemented
21#13071313C211yesmaximal, characteristic, complemented
22#13071308C211yesmaximal, characteristic, complemented
23#13071285C211yesmaximal, characteristic, complemented
24#13071273C211yesmaximal, characteristic, complemented
25#13071250C211yesmaximal, characteristic, complemented
26#13071244C211yesmaximal, characteristic, complemented
27#13071227C211yesmaximal, characteristic, complemented
28#13071209C211yesmaximal, characteristic, complemented
29C4×#67006C211yesmaximal, characteristic, complemented
30C2×#10622826C211yesmaximal, characteristic, complemented
31C2×C11×#385C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C23×C22⋊D11C2211yescharacteristic
34C22×#4339C2211yescharacteristic
35C22×C11×C4⋊C4C2211yescharacteristic, complemented
36C22×C11×C4⋊C4C2211yescharacteristic, complemented
37C22×C11×C22⋊C4C2211yescharacteristic
38C22×C11×C22⋊C4C2211yescharacteristic
39C2×#67006C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C2×#66983C2211yescharacteristic
42C2×#66982C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic, complemented
48C2×C4×C22⋊D11C2211yescharacteristic, complemented
49C2×C4×C22⋊D11C2211yescharacteristic, complemented
50C22×(C2×D11)⋊C4C2211yescharacteristic
51C22×(C2×D11)⋊C4C2211yescharacteristic
52C2×#66979C2211yescharacteristic, complemented
53C2×#66946C2211yescharacteristic, complemented
54C2×#66945C2211yescharacteristic, complemented
55C2×#66938C2211yescharacteristic
56#10623021C4116yescomplemented
57C2×#66937C2211yescharacteristic
58C2×#66937C2211yescharacteristic
59C2×#66936C2211yescharacteristic
60C2×#66935C2211yescharacteristic
61C2×(C22⋊D11)⋊C4C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic
63C2×C22⋊C4×D11C2211yescharacteristic
64C2×C22⋊C4×D11C2211yescharacteristic
65C2×#66931C2211yescharacteristic
66C11×#385C2211yescharacteristic
67C11×#385C2211yescharacteristic
68C11×#385C2211yescharacteristic
69C11×#385C2211yescharacteristic
70C11×#385C2211yescharacteristic, complemented
71C11×#385C2211yescharacteristic, complemented
72C11×#385C2211yescharacteristic, complemented
73C11×#385C2211yescharacteristic, complemented
74C2×C11×#95C2211yescharacteristic, complemented
75C2×C11×#95C2211yescharacteristic, complemented
76#10622860C2211yescharacteristic
77#10622826C2211yescharacteristic
78#10622826C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622826C2211yescharacteristic
81#10622826C2211yescharacteristic
82#10622826C2211yescharacteristic
83#10622826C2211yescharacteristic
84#10622826C2211yescharacteristic
85#10622826C2211yescharacteristic
86#10622826C2211yescharacteristic
87#10622826C2211yescharacteristic
88#10622826C2211yescharacteristic, complemented
89#10622826C2211yescharacteristic, complemented
90#10622826C2211yescharacteristic, complemented
91#10622825C2211yescharacteristic, complemented
92#10622824C2211yescharacteristic, complemented
93#10622823C2211yescharacteristic
94#10622823C2211yescharacteristic, complemented
95#10622823C2211yescharacteristic, complemented
96#10622823C2211yescharacteristic, complemented
97C4×C22⋊Dic11C2211yescharacteristic
98C4×C22⋊Dic11C2211yescharacteristic, complemented
99C4×C22⋊Dic11C2211yescharacteristic, complemented
100C4×C22⋊Dic11C2211yescharacteristic, complemented
101C4×C22⋊Dic11C2211yescharacteristic, complemented
102C2×C11⋊#95C2211yescharacteristic
103C2×C11⋊#95C2211yescharacteristic
104#10622603C2211yescharacteristic, complemented
105#10622603C2211yescharacteristic, complemented
106#10622603C2211yescharacteristic, complemented
107#10622603C2211yescharacteristic, complemented
108#10622603C2211yescharacteristic, complemented
109#10622603C2211yescharacteristic, complemented
110#10622602C2211yescharacteristic, complemented
111#10622602C2211yescharacteristic, complemented
112#10622602C2211yescharacteristic, complemented
113#10622602C2211yescharacteristic, complemented
114#10622601C2211yescharacteristic, complemented
115#10622601C2211yescharacteristic, complemented
116#10622601C2211yescharacteristic, complemented
117#10622600C2211yescharacteristic, complemented
118#10622600C2211yescharacteristic, complemented
119#10622600C2211yescharacteristic, complemented
120#10622600C2211yescharacteristic, complemented
121#10622600C2211yescharacteristic, complemented
122#10622591C2211yescharacteristic, complemented
123#10622591C2211yescharacteristic, complemented
124#10622591C2211yescharacteristic, complemented
125#10622591C2211yescharacteristic, complemented
126#10622590C2211yescharacteristic, complemented
127C4⋊C4×Dic11C2211yescharacteristic, complemented
128C4⋊C4×Dic11C2211yescharacteristic, complemented
129#10622587C2211yescharacteristic, complemented
130#10622587C2211yescharacteristic, complemented
131#10622586C2211yescharacteristic, complemented
132#10622585C2211yescharacteristic, complemented
133#10622585C2211yescharacteristic, complemented
134#10622571C2211yescharacteristic
135#10622570C2211yescharacteristic
136#10622570C2211yescharacteristic
137#10622570C2211yescharacteristic, complemented
138#10622569C2211yescharacteristic
139#10622569C2211yescharacteristic
140#10622569C2211yescharacteristic, complemented
141#10622568C2211yescharacteristic
142#10622564C2211yescharacteristic, complemented
143#10622564C2211yescharacteristic, complemented
144#10622564C2211yescharacteristic, complemented
145#10622564C2211yescharacteristic, complemented
146#10622563C2211yescharacteristic
147#10622563C2211yescharacteristic
148#10622559C2211yescharacteristic
149#10622558C2211yescharacteristic, complemented
150#10622557C2211yescharacteristic, complemented
151#10622555C2211yescharacteristic
152C22⋊C4×Dic11C2211yescharacteristic
153C22⋊C4×Dic11C2211yescharacteristic
154C22⋊C4×Dic11C2211yescharacteristic
155C22⋊C4×Dic11C2211yescharacteristic
156#10622283C2211yescharacteristic, complemented
157#10622283C2211yescharacteristic, complemented
158#10622283C2211yescharacteristic, complemented
159#10622282C2211yescharacteristic, complemented
160#10622282C2211yescharacteristic, complemented
161#10622282C2211yescharacteristic, complemented
162#10622281C2211yescharacteristic, complemented
163#10622281C2211yescharacteristic, complemented
164#10622281C2211yescharacteristic, complemented
165#10622280C2211yescharacteristic, complemented
166#10622280C2211yescharacteristic, complemented
167#10622279C2211yescharacteristic, complemented
168#10622279C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622277C2211yescharacteristic, complemented
174#10622277C2211yescharacteristic, complemented
175D11×#95C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C23×C4×C11—42no—
191C23×C4×C11—42no—
192C23×C4×C11—42no—
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C22×C22⋊D11—42no—
204C22×C22⋊D11—42no—
205C22×C22⋊D11C2×C418yescomplemented
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C2×#4339—42no—
217C2×#4339—42no—
218C2×#4339C2×C418yescomplemented
219C22×D44C2311yescharacteristic
220C22×D44C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×Dic22C2311yescharacteristic
229C2×C11×C4⋊C4—42no—
230C2×C11×C4⋊C4—42no—
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4—42no—
240C2×C11×C22⋊C4C2×C418yescomplemented
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
249#67006C2×C418yescomplemented
250C2×C22⋊Dic11—42no—
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264#66983C2×C418yescomplemented
265#66982C2×C418yescomplemented
266C4×C22⋊D11—42no—
267C4×C22⋊D11—42no—
268C4×C22⋊D11—42no—
269C4×C22⋊D11—42no—
270C4×C22⋊D11—42no—
271C4×C22⋊D11—42no—
272C4×C22⋊D11C2×C418yescomplemented
273C2×(C2×D11)⋊C4—42no—
274C2×(C2×D11)⋊C4—42no—
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(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
300#66979—42no—
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330#66946—42no—
331#66945—42no—
332#66938C2×C418yescomplemented
333#66937C2×C418yescomplemented
334#66937C2×C418yescomplemented
335#66936C2×C418yescomplemented
336#66935C2×C418yescomplemented
337(C22⋊D11)⋊C4—42no—
338(C22⋊D11)⋊C4C2×C418yescomplemented
339C22⋊C4×D11—42no—
340C22⋊C4×D11C2×C418yescomplemented
341#66931C2×C418yescomplemented
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
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
382#34456—111nomaximal, Sylow
383C24×C11—22no—
384C24×C11—22no—
385C24×C11—22no—
386C24×C11—22no—
387C24×C11—41no—
388C24×C11—41no—
389C24×C11C22×C414yes—
390C24×C11C2411yescharacteristic
391C24×C11C2411yescharacteristic
392C24×C11C2411yescharacteristic
393C23×D11—22no—
394C23×D11—22no—
395C23×D11—41no—
396C23×D11—41no—
397C23×D11—41no—
398C23×D11—41no—
399C23×D11C22×C414yes—
400C23×D11C2411yescharacteristic
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11—41no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—416no—
432C22×C4×C11C22×C414yes—
433C22×C4×C11C22×C414yes—
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
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—41no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11—416no—
461C2×C22⋊D11C22×C414yes—
462C2×C22⋊D11C22×C414yes—
463C2×C22⋊D11C22×C414yes—
464C2×C22⋊D11C22×C414yes—
465C2×C22⋊D11C22×C414yes—
466C2×C22⋊D11C22×C414yes—
467C2×C22⋊D11C22×C414yes—
468C22×Dic11—22no—
469C22×Dic11—22no—
470C22×Dic11—41no—
471C22×Dic11—41no—
472C22×Dic11—41no—
473C22×Dic11—41no—
474C22×Dic11—41no—
475C22×Dic11—41no—
476C22×Dic11C22×C414yes—
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490#4339—416no—
491C2×D44—41no—
492C2×D44—41no—
493C2×D44—41no—
494C2×D44—41no—
495C2×D44C22×C414yescomplemented
496C2×D44C22×C414yescomplemented
497C2×C4×D11—22no—
498C2×C4×D11—41no—
499C2×C4×D11—41no—
500C2×C4×D11—41no—
501C2×C4×D11—41no—
502C2×C4×D11—41no—
503C2×C4×D11—41no—
504C2×C4×D11—41no—
505C2×C4×D11—41no—
506C2×C4×D11—41no—
507C2×C4×D11—41no—
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×D11C22×C414yescomplemented
516C2×C4×D11C22×C414yescomplemented
517C2×C4×D11C22×C414yescomplemented
518C2×Dic22—41no—
519C2×Dic22—41no—
520C2×Dic22C22×C414yescomplemented
521C11×C4⋊C4—22no—
522C11×C4⋊C4—22no—
523C11×C4⋊C4—41no—
524C11×C4⋊C4—41no—
525C11×C4⋊C4—41no—
526C11×C4⋊C4—41no—
527C11×C4⋊C4—41no—
528C11×C4⋊C4—41no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4C22×C414yes—
534C11×C22⋊C4C22×C414yes—
535C11×C22⋊C4C22×C414yes—
536C11×C22⋊C4C22×C414yes—
537C22⋊Dic11—22no—
538C22⋊Dic11—22no—
539C22⋊Dic11—22no—
540C22⋊Dic11—22no—
541C22⋊Dic11—22no—
542C22⋊Dic11—22no—
543C22⋊Dic11—41no—
544C22⋊Dic11—41no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11C22×C414yes—
548C22⋊Dic11C22×C414yes—
549C22⋊Dic11C22×C414yes—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4—41no—
566(C2×D11)⋊C4—41no—
567(C2×D11)⋊C4—41no—
568(C2×D11)⋊C4—41no—
569(C2×D11)⋊C4—41no—
570(C2×D11)⋊C4C22×C414yescomplemented
571(C2×D11)⋊C4C22×C414yescomplemented
572(C2×D11)⋊C4C22×C414yescomplemented
573(C2×D11)⋊C4C22×C414yescomplemented
574(C2×D11)⋊C4C22×C414yescomplemented
575C4⋊Dic11—41no—
576C4⋊Dic11—41no—
577C4⋊Dic11—41no—
578C4⋊Dic11—41no—
579C4⋊Dic11C22×C414yescomplemented
580Dic11⋊C4—41no—
581Dic11⋊C4—41no—
582Dic11⋊C4—41no—
583Dic11⋊C4—41no—
584Dic11⋊C4—41no—
585Dic11⋊C4—41no—
586Dic11⋊C4—41no—
587Dic11⋊C4—41no—
588Dic11⋊C4C22×C414yescomplemented
589Dic11⋊C4C22×C414yescomplemented
590Dic11⋊C4C22×C414yescomplemented
591C4×Dic11—22no—
592C4×Dic11—41no—
593C4×Dic11—41no—
594C4×Dic11—41no—
595C4×Dic11—41no—
596C4×Dic11—41no—
597C4×Dic11—41no—
598C4×Dic11—41no—
599C4×Dic11—41no—
600C4×Dic11—41no—
601C4×Dic11—41no—
602C4×Dic11—41no—
603C4×Dic11C22×C414yescomplemented
604C2×#546—111no—
605#2379—111no—
606#2377—111no—
607#2377—111no—
608#2376—111no—
609#2368—111no—
610#2361—111no—
611#2359—111no—
612#2358—111no—
613#2358—111no—
614#2352—111no—
615#2349—111no—
616#2342—111no—
617#2342—111no—
618#2339—111no—
619D4×C22⋊C4—111no—
620#2337—111no—
621#2335—111no—
622#2329—111no—
623#2325—111no—
624#2325—111no—
625#2324—111no—
626#2322—111no—
627#2321—111no—
628#2318—111no—
629#2318—111no—
630#2315—111no—
631#2311—111no—
632C4×#120—111no—
633C2×#386—111no—
634C2×#385D1111yescharacteristic, complemented
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—28no—
644C23×C11—28no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—44no—
652C23×C11—44no—
653C23×C11—44no—
654C23×C11—44no—
655C23×C11—44no—
656C23×C11C23×C412yes—
657C23×C11C23×C412yes—
658C23×C11C23×C412yes—
659C23×C11H(5,𝔽2)12yes—
660C23×C11H(5,𝔽2)12yes—
661C23×C11H(5,𝔽2)12yes—
662C23×C112−1+412yes—
663C23×C11C2511yescharacteristic
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
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—28no—
683C22×D11—44no—
684C22×D11—44no—
685C22×D11—82no—
686C22×D11—82no—
687C22×D11—82no—
688C22×D11—82no—
689C22×D11C23×C412yes—
690C22×D11C23×C412yes—
691C22×D11C23×C412yes—
692C2×C4×C11—28no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—44no—
725C2×C4×C11—44no—
726C2×C4×C11—44no—
727C2×C4×C11—44no—
728C2×C4×C11—44no—
729C2×C4×C11—44no—
730C2×C4×C11—44no—
731C2×C4×C11—82no—
732C2×C4×C11—82no—
733C2×C4×C11C23×C412yes—
734C2×C4×C11C23×C412yes—
735C2×C4×C11C23×C412yes—
736C2×C4×C11C23×C412yes—
737C2×C4×C11H(5,𝔽2)12yes—
738C22⋊D11—28no—
739C22⋊D11—28no—
740C22⋊D11—28no—
741C22⋊D11—28no—
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×Dic11—82no—
781C2×Dic11—82no—
782C2×Dic11C23×C412yes—
783C2×Dic11C23×C412yes—
784C2×Dic11C23×C412yes—
785C2×Dic11C23×C412yes—
786C2×Dic11C23×C412yes—
787D44—44no—
788D44—44no—
789C4×D11—44no—
790C4×D11—44no—
791C4×D11—44no—
792C4×D11—82no—
793C4×D11—82no—
794C4×D11—82no—
795C4×D11—82no—
796Dic22—44no—
797C22×#41—111no—
798C23×D4—111no—
799C24×C4C2×D1111yescharacteristic
800#546—1116no—
801C2×#124—111no—
802C2×#123—111no—
803C2×#123—111no—
804C2×C22⋊Q8—111no—
805C2×#121—111no—
806C2×#121—111no—
807C2×#121—111no—
808C2×#120—111no—
809C2×#120—111no—
810C2×C4×D4—111no—
811C2×C4×D4—111no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×C4×D4—111no—
817C2×C4×D4—111no—
818C2×C4×D4—111no—
819C2×C4×D4—111no—
820C2×#117—111no—
821C2×#117—111no—
822C22×C4⋊C4C2×D1111yescharacteristic, complemented
823C22×C4⋊C4C2×D1111yescharacteristic, complemented
824C22×C22⋊C4—111no—
825C22×C22⋊C4—111no—
826C22×C22⋊C4—111no—
827C22×C22⋊C4—111no—
828C22×C22⋊C4—111no—
829C22×C22⋊C4C2×D1111yescharacteristic
830C22×C22⋊C4C2×D1111yescharacteristic
831#391—111no—
832#391—111no—
833#391—111no—
834#391—111no—
835#390—111no—
836#390—111no—
837#390—111no—
838#390—111no—
839#390—111no—
840#390—111no—
841#389—111no—
842#389—111no—
843#389—111no—
844#389—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#388—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#388—111no—
862#388—111no—
863#387—111no—
864#387—111no—
865#387—111no—
866#387—111no—
867#387—111no—
868#387—111no—
869#387—111no—
870#387—111no—
871#387—111no—
872#387—111no—
873#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386—111no—
878#386—111no—
879#386—111no—
880#386—111no—
881#386—111no—
882#386—111no—
883#386—111no—
884#386—111no—
885#386—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#385—111no—
896#385—111no—
897#385—111no—
898#385—111no—
899#385—111no—
900#385—111no—
901#385—111no—
902#385—111no—
903#385—111no—
904#385—111no—
905#385—111no—
906#385—111no—
907#385—111no—
908#385—111no—
909#385C2×D1111yescharacteristic
910#385C2×D1111yescharacteristic
911#385C2×D1111yescharacteristic
912#385C2×D1111yescharacteristic
913#385C2×D1111yescharacteristic, complemented
914#385C2×D1111yescharacteristic, complemented
915#385C2×D1111yescharacteristic, complemented
916#385C2×D1111yescharacteristic, complemented
917#383—111no—
918#382—111no—
919#382—111no—
920#381—111no—
921#381—111no—
922#381—111no—
923#380—111no—
924#380—111no—
925#380—111no—
926#380—111no—
927#380—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#380—111no—
932#379—111no—
933#379—111no—
934C4×C4⋊C4—111no—
935C4×C4⋊C4—111no—
936C4×C4⋊C4—111no—
937C4×C22⋊C4—111no—
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—
948C2×#95—111no—
949C2×#95—111no—
950C2×#95—111no—
951C2×#95C2×D1111yescharacteristic, complemented
952C2×#95C2×D1111yescharacteristic, complemented
953C22×C11—22no—
954C22×C11—22no—
955C22×C11—22no—
956C22×C11—22no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
960C22×C11—22no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—22no—
964C22×C11—22no—
965C22×C11—22no—
966C22×C11—22no—
967C22×C11—22no—
968C22×C11—416no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11#51814yes—
974C22×C11#52014yes—
975C22×C11C24×C411yescharacteristic
976C22×C11C2×H(5,𝔽2)11yescharacteristic
977C22×C11C2×H(5,𝔽2)11yescharacteristic
978C22×C11C2×H(5,𝔽2)11yescharacteristic
979C22×C11C2×H(5,𝔽2)11yescharacteristic
980C22×C11C2×2−1+411yescharacteristic
981C22×C11#58511yescharacteristic
982C2×D11—22no—
983C2×D11—22no—
984C2×D11—22no—
985C2×D11—22no—
986C2×D11—22no—
987C2×D11—22no—
988C2×D11—22no—
989C2×D11—22no—
990C2×D11—22no—
991C2×D11—41no—
992C2×D11—41no—
993C2×D11—41no—
994C2×D11—41no—
995C2×D11—41no—
996C2×D11—41no—
997C2×D11—41no—
998C2×D11—41no—
999C2×D11—41no—
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—41no—
1003C2×D11—88no—
1004C4×C11—22no—
1005C4×C11—22no—
1006C4×C11—22no—
1007C4×C11—22no—
1008C4×C11—22no—
1009C4×C11—41no—
1010C4×C11—41no—
1011C4×C11—41no—
1012C4×C11—41no—
1013C4×C11—41no—
1014C4×C11—41no—
1015C4×C11—41no—
1016Dic11—22no—
1017Dic11—22no—
1018Dic11—22no—
1019Dic11—22no—
1020Dic11—22no—
1021Dic11—41no—
1022Dic11—41no—
1023Dic11—41no—
1024Dic11—41no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029C25—111no—
1030C25C22×D1111yescharacteristic
1031C2×#41—118no—
1032C2×#41—442no—
1033C2×#41—442no—
1034C22×Q8—111no—
1035C22×D4—111no—
1036C22×D4—111no—
1037C22×D4—111no—
1038C22×D4—111no—
1039C22×D4—118no—
1040C22×D4—111no—
1041C22×D4—111no—
1042C22×D4—111no—
1043C22×D4—111no—
1044C22×D4—111no—
1045C22×D4—442no—
1046C22×D4—442no—
1047C23×C4—42no—
1048C23×C4—42no—
1049C23×C4—42no—
1050C23×C4—111no—
1051C23×C4—111no—
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×C4C22×D1111yescharacteristic
1061C23×C4C22×D1111yescharacteristic
1062C23×C4C22×D1111yescharacteristic
1063C23×C4C22×D1111yescharacteristic
1064C23×C4C22×D1111yescharacteristic
1065C23×C4C22×D1111yescharacteristic
1066C23×C4C22×D1111yescharacteristic
1067C23×C4C22×D1111yescharacteristic
1068C23×C4C22×D1111yescharacteristic
1069C23×C4C22×D1111yescharacteristic
1070#124—118no—
1071#123—118no—
1072#123—118no—
1073C22⋊Q8—118no—
1074#121—118no—
1075#121—118no—
1076#121—118no—
1077#120—118no—
1078#120—118no—
1079C4×D4—118no—
1080C4×D4—118no—
1081C4×D4—442no—
1082C4×D4—442no—
1083C4×D4—442no—
1084C4×D4—442no—
1085C4×D4—442no—
1086C4×D4—442no—
1087C4×D4—442no—
1088C4×D4—442no—
1089#117—442no—
1090#117—442no—
1091C2×C4⋊C4—42no—
1092C2×C4⋊C4—42no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4C22×D1111yescharacteristic
1110C2×C4⋊C4C22×D1111yescharacteristic
1111C2×C4⋊C4C22×D1111yescharacteristic
1112C2×C4⋊C4C22×D1111yescharacteristic
1113C2×C4⋊C4C22×D1111yescharacteristic
1114C2×C4⋊C4C22×D1111yescharacteristic
1115C2×C4⋊C4C22×D1111yescharacteristic
1116C2×C4⋊C4C22×D1111yescharacteristic
1117C2×C22⋊C4—42no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—118no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—442no—
1158C2×C22⋊C4—442no—
1159C2×C22⋊C4—442no—
1160C2×C22⋊C4—442no—
1161C2×C22⋊C4C4×D1118yescomplemented
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42—111no—
1173C2×C42—111no—
1174C2×C42—111no—
1175C2×C42—111no—
1176C2×C42—111no—
1177C2×C42—111no—
1178C2×C42—111no—
1179C2×C42—111no—
1180C2×C42—111no—
1181C2×C42—111no—
1182C2×C42—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#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#95C22×D1111yescharacteristic
1216#95C22×D1111yescharacteristic
1217#95C22×D1111yescharacteristic
1218#95C22×D1111yescharacteristic
1219#95C22×D1111yescharacteristic
1220#95C22×D1111yescharacteristic
1221#95C22×D1111yescharacteristic
1222#95C22×D1111yescharacteristic
1223C2×C11—24no—
1224C2×C11—24no—
1225C2×C11—42no—
1226C2×C11C2×#51811yescharacteristic
1227C2×C11C2×#52011yescharacteristic
1228C2×C11C4×H(5,𝔽2)11yescharacteristic
1229C2×C11#353211yescharacteristic
1230C2×C11#353411yescharacteristic
1231C2×C11#353511yescharacteristic
1232C2×C11#353611yescharacteristic
1233D11—42no—
1234D11—42no—
1235D11—42no—
1236C24—22no—
1237C24—22no—
1238C24—22no—
1239C24—22no—
1240C24—41no—
1241C24—41no—
1242C24—111no—
1243C24—111no—
1244C24—111no—
1245C24—114no—
1246C24—222no—
1247C24—222no—
1248C24—441no—
1249C24—441no—
1250C24—441no—
1251C24—441no—
1252C24C2×C4×D1114yes—
1253C24C23×D1111yescharacteristic
1254C24C23×D1111yescharacteristic
1255C24C23×D1111yescharacteristic
1256#41—4416no—
1257C2×Q8—114no—
1258C2×Q8—441no—
1259C2×Q8—441no—
1260C2×D4—114no—
1261C2×D4—114no—
1262C2×D4—114no—
1263C2×D4—114no—
1264C2×D4—114no—
1265C2×D4—114no—
1266C2×D4—114no—
1267C2×D4—114no—
1268C2×D4—114no—
1269C2×D4—222no—
1270C2×D4—222no—
1271C2×D4—222no—
1272C2×D4—222no—
1273C2×D4—222no—
1274C2×D4—222no—
1275C2×D4—222no—
1276C2×D4—222no—
1277C2×D4—441no—
1278C2×D4—441no—
1279C2×D4—441no—
1280C2×D4—441no—
1281C2×D4—441no—
1282C2×D4—441no—
1283C2×D4—441no—
1284C2×D4—441no—
1285C2×D4—441no—
1286C2×D4—441no—
1287C2×D4—4416no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—416no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—114no—
1323C22×C4—114no—
1324C22×C4—114no—
1325C22×C4—114no—
1326C22×C4—111no—
1327C22×C4—111no—
1328C22×C4—111no—
1329C22×C4—111no—
1330C22×C4—111no—
1331C22×C4—111no—
1332C22×C4—111no—
1333C22×C4—111no—
1334C22×C4—222no—
1335C22×C4—222no—
1336C22×C4—222no—
1337C22×C4—441no—
1338C22×C4—441no—
1339C22×C4—441no—
1340C22×C4—441no—
1341C22×C4—441no—
1342C22×C4—441no—
1343C22×C4—441no—
1344C22×C4—441no—
1345C22×C4—441no—
1346C22×C4—441no—
1347C22×C4—441no—
1348C22×C4—441no—
1349C22×C4—441no—
1350C22×C4—441no—
1351C22×C4—441no—
1352C22×C4—441no—
1353C22×C4—441no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4—441no—
1358C22×C4—441no—
1359C22×C4—441no—
1360C22×C4C2×C4×D1114yes—
1361C22×C4C2×C4×D1114yes—
1362C22×C4C23×D1111yescharacteristic
1363C22×C4C23×D1111yescharacteristic
1364C22×C4C23×D1111yescharacteristic
1365C22×C4C23×D1111yescharacteristic
1366C22×C4C23×D1111yescharacteristic
1367C22×C4C23×D1111yescharacteristic
1368C22×C4C23×D1111yescharacteristic
1369C22×C4C23×D1111yescharacteristic
1370C22×C4C23×D1111yescharacteristic
1371C22×C4C23×D1111yescharacteristic
1372C22×C4C23×D1111yescharacteristic
1373C22×C4C23×D1111yescharacteristic
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—41no—
1377C4⋊C4—41no—
1378C4⋊C4—41no—
1379C4⋊C4—41no—
1380C4⋊C4—41no—
1381C4⋊C4—41no—
1382C4⋊C4—114no—
1383C4⋊C4—114no—
1384C4⋊C4—114no—
1385C4⋊C4—114no—
1386C4⋊C4—441no—
1387C4⋊C4—441no—
1388C4⋊C4—441no—
1389C4⋊C4—441no—
1390C4⋊C4—441no—
1391C4⋊C4—441no—
1392C4⋊C4—441no—
1393C4⋊C4—441no—
1394C4⋊C4—441no—
1395C4⋊C4—441no—
1396C4⋊C4—441no—
1397C4⋊C4—441no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—114no—
1403C22⋊C4—114no—
1404C22⋊C4—114no—
1405C22⋊C4—114no—
1406C22⋊C4—114no—
1407C22⋊C4—114no—
1408C22⋊C4—114no—
1409C22⋊C4—114no—
1410C22⋊C4—222no—
1411C22⋊C4—222no—
1412C22⋊C4—222no—
1413C22⋊C4—222no—
1414C22⋊C4—222no—
1415C22⋊C4—222no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
1418C22⋊C4—441no—
1419C22⋊C4—441no—
1420C22⋊C4—441no—
1421C22⋊C4—441no—
1422C22⋊C4—441no—
1423C22⋊C4—441no—
1424C22⋊C4—441no—
1425C22⋊C4—441no—
1426C22⋊C4—441no—
1427C22⋊C4—441no—
1428C22⋊C4—441no—
1429C22⋊C4—441no—
1430C22⋊C4—441no—
1431C22⋊C4—441no—
1432C22⋊C4—441no—
1433C22⋊C4—441no—
1434C22⋊C4—441no—
1435C22⋊C4—441no—
1436C22⋊C4—441no—
1437C22⋊C4—441no—
1438C22⋊C4—441no—
1439C22⋊C4—441no—
1440C22⋊C4C2×C4×D1114yes—
1441C22⋊C4C2×C4×D1114yes—
1442C22⋊C4C2×C4×D1114yes—
1443C22⋊C4C2×C4×D1114yes—
1444C42—114no—
1445C42—222no—
1446C42—441no—
1447C42—441no—
1448C42—441no—
1449C42—441no—
1450C42—441no—
1451C42—441no—
1452C42—441no—
1453C42—441no—
1454C42—441no—
1455C42—441no—
1456C42—441no—
1457C11#3445611yescharacteristic, complemented, Sylow
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—28no—
1467C23—28no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—112no—
1480C23—112no—
1481C23—112no—
1482C23—221no—
1483C23—221no—
1484C23—221no—
1485C23—221no—
1486C23—221no—
1487C23—221no—
1488C23—221no—
1489C23—221no—
1490C23—221no—
1491C23—221no—
1492C23—221no—
1493C23—221no—
1494C23—221no—
1495C23—221no—
1496C23—221no—
1497C23—221no—
1498C23—221no—
1499C23—221no—
1500C23—228no—
1501C23—444no—
1502C23—444no—
1503C23—882no—
1504C23—882no—
1505C23—882no—
1506C23—882no—
1507C23C22×C4×D1112yes—
1508C23C22×C4×D1112yes—
1509C23C22×C4×D1112yes—
1510C23#6703712yes—
1511C23#6703712yes—
1512C23#6704012yes—
1513C23#6704212yes—
1514C23C24×D1111yescharacteristic
1515Q8—444no—
1516D4—228no—
1517D4—228no—
1518D4—228no—
1519D4—228no—
1520D4—444no—
1521D4—444no—
1522D4—444no—
1523D4—444no—
1524D4—444no—
1525C2×C4—28no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—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—44no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—82no—
1565C2×C4—82no—
1566C2×C4—112no—
1567C2×C4—112no—
1568C2×C4—112no—
1569C2×C4—112no—
1570C2×C4—112no—
1571C2×C4—221no—
1572C2×C4—221no—
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—221no—
1584C2×C4—221no—
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—444no—
1606C2×C4—444no—
1607C2×C4—444no—
1608C2×C4—444no—
1609C2×C4—882no—
1610C2×C4—882no—
1611C2×C4—882no—
1612C2×C4—882no—
1613C2×C4—882no—
1614C2×C4—882no—
1615C2×C4C22×C4×D1112yes—
1616C2×C4C22×C4×D1112yes—
1617C2×C4C22×C4×D1112yes—
1618C2×C4C22×C4×D1112yes—
1619C2×C4#6703712yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—416no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—222no—
1641C22—222no—
1642C22—222no—
1643C22—222no—
1644C22—222no—
1645C22—222no—
1646C22—222no—
1647C22—222no—
1648C22—222no—
1649C22—441no—
1650C22—441no—
1651C22—441no—
1652C22—441no—
1653C22—441no—
1654C22—441no—
1655C22—441no—
1656C22—441no—
1657C22—441no—
1658C22—441no—
1659C22—441no—
1660C22—441no—
1661C22—888no—
1662C22#1062303514yes—
1663C22#1062307614yes—
1664C22C23×C4×D1111yescharacteristic
1665C22C2×#6703711yescharacteristic
1666C22C2×#6703711yescharacteristic
1667C22C2×#6703711yescharacteristic
1668C22C2×#6704011yescharacteristic
1669C22C2×#6704211yescharacteristic
1670C22#1062345311yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—222no—
1684C4—222no—
1685C4—222no—
1686C4—222no—
1687C4—222no—
1688C4—441no—
1689C4—441no—
1690C4—441no—
1691C4—441no—
1692C4—441no—
1693C4—441no—
1694C4—441no—
1695C4—441no—
1696C2—24no—
1697C2—24no—
1698C2—42no—
1699C2—442no—
1700C2—442no—
1701C2—442no—
1702C2C2×#1062307611yescharacteristic
1703C2C2×#1062303511yescharacteristic
1704C2C4×#6703711yescharacteristic
1705C2#1308277111yescharacteristic
1706C2#1308281011yescharacteristic
1707C2#1308282511yescharacteristic
1708C2#1308284511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC2×C11×#385C2
socle, cosocleC23×C11C25
prime radicalC2×#10623021C2
hypercenterC2×#385D11
hypocenterC11#34456
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
2. #13071789C2semidirect
3. #13071772C2semidirect
4. #13071772C2semidirect
5. #13071765C2semidirect
6. #13071697C2semidirect
7. #13071632C2semidirect
8. #13071604C2semidirect
9. #13071595C2semidirect
10. #13071592C2semidirect
11. #13071541C2semidirect
12. #13071522C2semidirect
13. #13071465C2semidirect
14. #13071463C2semidirect
15. #13071443C2semidirect
16. C22⋊C4×C22⋊D11C2semidirect
17. #13071430C2semidirect
18. #13071401C2semidirect
19. #13071347C2semidirect
20. #13071319C2semidirect
21. #13071313C2semidirect
22. #13071308C2semidirect
23. #13071285C2semidirect
24. #13071273C2semidirect
25. #13071250C2semidirect
26. #13071244C2semidirect
27. #13071227C2semidirect
28. #13071209C2semidirect
29. C4×#67006C2semidirect
30. C2×#10622826C2semidirect
31. C2×C11×#385C2semidirect
35. C22×C11×C4⋊C4C22semidirect
36. C22×C11×C4⋊C4C22semidirect
47. C2×C4×C22⋊D11C22semidirect
48. C2×C4×C22⋊D11C22semidirect
49. C2×C4×C22⋊D11C22semidirect
52. C2×#66979C22semidirect
53. C2×#66946C22semidirect
54. C2×#66945C22semidirect
56. #10623021C4semidirect
70. C11×#385C22semidirect
71. C11×#385C22semidirect
72. C11×#385C22semidirect
73. C11×#385C22semidirect
74. C2×C11×#95C22semidirect
75. C2×C11×#95C22semidirect
88. #10622826C22semidirect
89. #10622826C22semidirect
90. #10622826C22semidirect
91. #10622825C22semidirect
92. #10622824C22semidirect
94. #10622823C22semidirect
95. #10622823C22semidirect
96. #10622823C22semidirect
98. C4×C22⋊Dic11C22semidirect
99. C4×C22⋊Dic11C22semidirect
100. C4×C22⋊Dic11C22semidirect
101. C4×C22⋊Dic11C22semidirect
104. #10622603C22semidirect
105. #10622603C22semidirect
106. #10622603C22semidirect
107. #10622603C22semidirect
108. #10622603C22semidirect
109. #10622603C22semidirect
110. #10622602C22semidirect
111. #10622602C22semidirect
112. #10622602C22semidirect
113. #10622602C22semidirect
114. #10622601C22semidirect
115. #10622601C22semidirect
116. #10622601C22semidirect
117. #10622600C22semidirect
118. #10622600C22semidirect
119. #10622600C22semidirect
120. #10622600C22semidirect
121. #10622600C22semidirect
122. #10622591C22semidirect
123. #10622591C22semidirect
124. #10622591C22semidirect
125. #10622591C22semidirect
126. #10622590C22semidirect
127. C4⋊C4×Dic11C22semidirect
128. C4⋊C4×Dic11C22semidirect
129. #10622587C22semidirect
130. #10622587C22semidirect
131. #10622586C22semidirect
132. #10622585C22semidirect
133. #10622585C22semidirect
137. #10622570C22semidirect
140. #10622569C22semidirect
142. #10622564C22semidirect
143. #10622564C22semidirect
144. #10622564C22semidirect
145. #10622564C22semidirect
149. #10622558C22semidirect
150. #10622557C22semidirect
156. #10622283C22semidirect
157. #10622283C22semidirect
158. #10622283C22semidirect
159. #10622282C22semidirect
160. #10622282C22semidirect
161. #10622282C22semidirect
162. #10622281C22semidirect
163. #10622281C22semidirect
164. #10622281C22semidirect
165. #10622280C22semidirect
166. #10622280C22semidirect
167. #10622279C22semidirect
168. #10622279C22semidirect
169. #10622278C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
173. #10622277C22semidirect
174. #10622277C22semidirect
175. D11×#95C22semidirect
176. #10622268C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622265C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622263C22semidirect
184. #10622262C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
205. C22×C22⋊D11C2×C4semidirect
218. C2×#4339C2×C4semidirect
240. C2×C11×C22⋊C4C2×C4semidirect
249. #67006C2×C4semidirect
264. #66983C2×C4semidirect
265. #66982C2×C4semidirect
272. C4×C22⋊D11C2×C4semidirect
332. #66938C2×C4semidirect
333. #66937C2×C4semidirect
334. #66937C2×C4semidirect
335. #66936C2×C4semidirect
336. #66935C2×C4semidirect
338. (C22⋊D11)⋊C4C2×C4semidirect
340. C22⋊C4×D11C2×C4semidirect
341. #66931C2×C4semidirect
495. C2×D44C22×C4semidirect
496. C2×D44C22×C4semidirect
515. C2×C4×D11C22×C4semidirect
516. C2×C4×D11C22×C4semidirect
517. C2×C4×D11C22×C4semidirect
520. C2×Dic22C22×C4semidirect
570. (C2×D11)⋊C4C22×C4semidirect
571. (C2×D11)⋊C4C22×C4semidirect
572. (C2×D11)⋊C4C22×C4semidirect
573. (C2×D11)⋊C4C22×C4semidirect
574. (C2×D11)⋊C4C22×C4semidirect
579. C4⋊Dic11C22×C4semidirect
588. Dic11⋊C4C22×C4semidirect
589. Dic11⋊C4C22×C4semidirect
590. Dic11⋊C4C22×C4semidirect
603. C4×Dic11C22×C4semidirect
634. C2×#385D11semidirect
822. C22×C4⋊C4C2×D11semidirect
823. C22×C4⋊C4C2×D11semidirect
913. #385C2×D11semidirect
914. #385C2×D11semidirect
915. #385C2×D11semidirect
916. #385C2×D11semidirect
951. C2×#95C2×D11semidirect
952. C2×#95C2×D11semidirect
1161. C2×C22⋊C4C4×D11semidirect
1457. C11#34456semidirect

Maximal subgroups

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

subgroupindex
C2×#106230212
#130717892
#130717722
#130717652
#130716972
#130716322
#130716042
#130715952
#130715922
#130715412
#130715222
#130714652
#130714632
#130714432
C22⋊C4×C22⋊D112
#130714302
#130714012
#130713472
#130713192
#130713132
#130713082
#130712852
#130712732
#130712502
#130712442
#130712272
#130712092
C4×#670062
C2×#106228262
C2×C11×#3852
#3445611