Finite Group Databasebeta

← #14918325

Subgroups — #14918325

Order 2816.

2500 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623058C211yesmaximal, characteristic
2#13071809C211yesmaximal, characteristic, complemented
3#13071807C211yesmaximal, characteristic, complemented
4#13071787C211yesmaximal, characteristic, complemented
5#13071761C211yesmaximal, characteristic, complemented
6#13071618C211yesmaximal, characteristic, complemented
7#13071616C211yesmaximal, characteristic, complemented
8#13071608C211yesmaximal, characteristic, complemented
9#13071603C211yesmaximal, characteristic, complemented
10#13071592C211yesmaximal, characteristic
11#13071516C211yesmaximal, characteristic, complemented
12#13071514C211yesmaximal, characteristic, complemented
13#13071476C211yesmaximal, characteristic, complemented
14#13071469C211yesmaximal, characteristic, complemented
15#13071466C211yesmaximal, characteristic, complemented
16#13071463C211yesmaximal, characteristic, complemented
17#13071390C211yesmaximal, characteristic, complemented
18#13071387C211yesmaximal, characteristic, complemented
19#13071350C211yesmaximal, characteristic, complemented
20#13071347C211yesmaximal, characteristic, complemented
21#13071324C211yesmaximal, characteristic, complemented
22#13071285C211yesmaximal, characteristic, complemented
23#13071280C211yesmaximal, characteristic, complemented
24#13071280C211yesmaximal, characteristic, complemented
25#13071252C211yesmaximal, characteristic, complemented
26#13071244C211yesmaximal, characteristic, complemented
27#13071237C211yesmaximal, characteristic, complemented
28#13071117C211yesmaximal, characteristic
29C2×#10622602C211yesmaximal, characteristic, complemented
30D11×#385C211yesmaximal, characteristic, complemented
31C11×#2317C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#117C2211yescharacteristic
34C2×C11×#117C2211yescharacteristic
35C22×C11×C4⋊C4C2211yescharacteristic
36C2×#66982C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C22×(C2×D11)⋊C4C2211yescharacteristic
40C22×Dic11⋊C4C2211yescharacteristic
41#10623058C4116yescomplemented
42C2×#66951C2211yescharacteristic
43C2×#66949C2211yescharacteristic
44C2×#66947C2211yescharacteristic
45C2×#66947C2211yescharacteristic
46C2×#66946C2211yescharacteristic
47C2×#66946C2211yescharacteristic
48C2×#66946C2211yescharacteristic
49C2×#66945C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×C4⋊C4×D11C2211yescharacteristic, complemented
53C2×#66940C2211yescharacteristic, complemented
54C2×#66935C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×C22⋊C4×D11C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×#66931C2211yescharacteristic
60C2×#66929C2211yescharacteristic
61C2×#66928C2211yescharacteristic
62C2×C4×D44C2211yescharacteristic
63C2×#66925C2211yescharacteristic
64C11×#389C2211yescharacteristic, complemented
65C11×#389C2211yescharacteristic, complemented
66C11×#389C2211yescharacteristic, complemented
67C11×#389C2211yescharacteristic, complemented
68C11×#385C2211yescharacteristic
69C11×#385C2211yescharacteristic
70C11×#385C2211yescharacteristic
71C11×#385C2211yescharacteristic
72C11×#384C2211yescharacteristic, complemented
73C11×#384C2211yescharacteristic, complemented
74C11×#382C2211yescharacteristic, complemented
75C11×#382C2211yescharacteristic, complemented
76#10622826C2211yescharacteristic
77#10622824C2211yescharacteristic
78#10622823C2211yescharacteristic
79C4×C22⋊Dic11C2211yescharacteristic
80C2×C11⋊#95C2211yescharacteristic
81C2×C11⋊#95C2211yescharacteristic
82#10622603C2211yescharacteristic
83#10622603C2211yescharacteristic
84#10622603C2211yescharacteristic
85#10622603C2211yescharacteristic
86#10622603C2211yescharacteristic
87#10622603C2211yescharacteristic, complemented
88#10622603C2211yescharacteristic, complemented
89#10622603C2211yescharacteristic, complemented
90#10622603C2211yescharacteristic, complemented
91#10622602C2211yescharacteristic
92#10622602C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622602C2211yescharacteristic
95#10622602C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622602C2211yescharacteristic
98#10622602C2211yescharacteristic
99#10622602C2211yescharacteristic
100#10622602C2211yescharacteristic
101#10622602C2211yescharacteristic
102#10622602C2211yescharacteristic
103#10622602C2211yescharacteristic
104#10622602C2211yescharacteristic
105#10622602C2211yescharacteristic
106#10622602C2211yescharacteristic, complemented
107#10622602C2211yescharacteristic, complemented
108#10622602C2211yescharacteristic, complemented
109#10622602C2211yescharacteristic, complemented
110#10622601C2211yescharacteristic
111#10622600C2211yescharacteristic
112#10622600C2211yescharacteristic, complemented
113#10622594C2211yescharacteristic, complemented
114#10622594C2211yescharacteristic, complemented
115#10622594C2211yescharacteristic, complemented
116#10622594C2211yescharacteristic, complemented
117#10622591C2211yescharacteristic, complemented
118#10622591C2211yescharacteristic, complemented
119#10622591C2211yescharacteristic, complemented
120#10622591C2211yescharacteristic, complemented
121#10622591C2211yescharacteristic, complemented
122#10622590C2211yescharacteristic, complemented
123#10622589C2211yescharacteristic, complemented
124#10622587C2211yescharacteristic, complemented
125#10622586C2211yescharacteristic, complemented
126#10622586C2211yescharacteristic, complemented
127#10622585C2211yescharacteristic, complemented
128#10622585C2211yescharacteristic, complemented
129#10622585C2211yescharacteristic, complemented
130#10622585C2211yescharacteristic, complemented
131#10622585C2211yescharacteristic, complemented
132#10622585C2211yescharacteristic, complemented
133#10622585C2211yescharacteristic, complemented
134#10622571C2211yescharacteristic
135#10622568C2211yescharacteristic
136#10622563C2211yescharacteristic
137#10622563C2211yescharacteristic
138#10622559C2211yescharacteristic
139#10622555C2211yescharacteristic
140C22⋊C4×Dic11C2211yescharacteristic
141C22⋊C4×Dic11C2211yescharacteristic
142C22⋊C4×Dic11C2211yescharacteristic
143C22⋊C4×Dic11C2211yescharacteristic
144#10622553C2211yescharacteristic
145#10622553C2211yescharacteristic
146#10622553C2211yescharacteristic, complemented
147C4×(C2×D11)⋊C4C2211yescharacteristic
148C4×(C2×D11)⋊C4C2211yescharacteristic
149C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
150#10622550C2211yescharacteristic, complemented
151#10622549C2211yescharacteristic, complemented
152C4×C4⋊Dic11C2211yescharacteristic, complemented
153#10622546C2211yescharacteristic, complemented
154#10622545C2211yescharacteristic, complemented
155C4×Dic11⋊C4C2211yescharacteristic, complemented
156#10622283C2211yescharacteristic
157#10622283C2211yescharacteristic
158#10622283C2211yescharacteristic, complemented
159#10622282C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic
162#10622281C2211yescharacteristic, complemented
163#10622280C2211yescharacteristic, complemented
164#10622279C2211yescharacteristic
165#10622279C2211yescharacteristic
166#10622279C2211yescharacteristic
167#10622279C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622277C2211yescharacteristic
173#10622277C2211yescharacteristic, complemented
174D11×#95C2211yescharacteristic
175D11×#95C2211yescharacteristic
176#10622268C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×D44C2311yescharacteristic
198C22×C4×D11—42no—
199C22×C4×D11—42no—
200C22×C4×D11—42no—
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×#117—42no—
214C11×#117C2×C418yescomplemented
215C2×C11×C4⋊C4—42no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243#66982C2×C418yescomplemented
244C4×C22⋊D11—42no—
245C2×(C2×D11)⋊C4—42no—
246C2×(C2×D11)⋊C4C2×C418yescomplemented
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×Dic11⋊C4—42no—
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310#66951C2×C418yescomplemented
311#66949C2×C418yescomplemented
312#66947C2×C418yescomplemented
313#66947C2×C418yescomplemented
314#66946—42no—
315#66946—42no—
316#66946—42no—
317#66945—42no—
318C4⋊C4×D11—42no—
319C4⋊C4×D11—42no—
320C4⋊C4×D11—42no—
321#66940—42no—
322#66935C2×C418yes—
323(C22⋊D11)⋊C4—42no—
324(C22⋊D11)⋊C4C2×C418yescomplemented
325C22⋊C4×D11—42no—
326C22⋊C4×D11C2×C418yescomplemented
327#66931C2×C418yescomplemented
328#66929C2×C418yescomplemented
329#66928C2×C418yescomplemented
330C4×D44C2×C418yescomplemented
331#66925C2×C418yescomplemented
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
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
376#34457—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C23×D11—22no—
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11C22×C414yes—
385C23×D11C2411yescharacteristic
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11—22no—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
396C22×C4×C11C22×C414yes—
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11C22×C414yes—
414C22×Dic11—22no—
415C22×Dic11—22no—
416C22×Dic11—22no—
417C22×Dic11—41no—
418C22×Dic11—41no—
419C22×Dic11—41no—
420C22×Dic11—41no—
421C22×Dic11—41no—
422C22×Dic11C22×C414yes—
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C2×D44—22no—
437C2×D44—22no—
438C2×D44—41no—
439C2×D44—41no—
440C2×D44C22×C414yes—
441C2×D44C22×C414yes—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—416no—
473C2×C4×D11C22×C414yes—
474C2×C4×D11C22×C414yes—
475C2×C4×D11C22×C414yescomplemented
476C2×Dic22—41no—
477C2×Dic22—41no—
478C2×Dic22C22×C414yescomplemented
479C11×C4⋊C4—41no—
480C11×C4⋊C4—41no—
481C11×C4⋊C4—41no—
482C11×C4⋊C4—41no—
483C11×C4⋊C4—41no—
484C11×C4⋊C4—41no—
485C11×C4⋊C4—41no—
486C11×C4⋊C4—41no—
487C11×C4⋊C4—41no—
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4C22×C414yescomplemented
494C11×C4⋊C4C22×C414yescomplemented
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4C22×C414yes—
498C11×C22⋊C4C22×C414yes—
499C42×C11—41no—
500C42×C11—41no—
501C42×C11C22×C414yescomplemented
502C42×C11C22×C414yescomplemented
503C22⋊Dic11—22no—
504C22⋊Dic11—22no—
505C22⋊Dic11C22×C414yes—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4C22×C414yes—
523(C2×D11)⋊C4C22×C414yes—
524(C2×D11)⋊C4C22×C414yes—
525(C2×D11)⋊C4C22×C414yes—
526(C2×D11)⋊C4C22×C414yes—
527(C2×D11)⋊C4C22×C414yes—
528(C2×D11)⋊C4C22×C414yes—
529(C2×D11)⋊C4C22×C414yes—
530(C2×D11)⋊C4C22×C414yescomplemented
531(C2×D11)⋊C4C22×C414yescomplemented
532(C2×D11)⋊C4C22×C414yescomplemented
533C4⋊Dic11—22no—
534C4⋊Dic11—41no—
535C4⋊Dic11—41no—
536C4⋊Dic11—41no—
537C4⋊Dic11C22×C414yescomplemented
538Dic11⋊C4—22no—
539Dic11⋊C4—22no—
540Dic11⋊C4—22no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4C22×C414yescomplemented
551Dic11⋊C4C22×C414yescomplemented
552Dic11⋊C4C22×C414yescomplemented
553Dic11⋊C4C22×C414yescomplemented
554Dic11⋊C4C22×C414yescomplemented
555C4×Dic11—22no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563C4×Dic11—41no—
564C4×Dic11—41no—
565C4×Dic11—41no—
566C4×Dic11—41no—
567C4×Dic11C22×C414yescomplemented
568C2×#551—111no—
569#2383—111no—
570#2383—111no—
571#2379—111no—
572#2376—111no—
573#2360—111no—
574#2360—111no—
575#2359—111no—
576#2359—111no—
577#2358—111no—
578D4×C4⋊C4—111no—
579D4×C4⋊C4—111no—
580#2343—111no—
581#2343—111no—
582#2342—111no—
583#2342—111no—
584#2334—111no—
585#2334—111no—
586#2329—111no—
587#2329—111no—
588#2326—111no—
589#2322—111no—
590#2322—111no—
591#2322—111no—
592#2318—111no—
593#2318—111no—
594#2317—111no—
595#2317D1111yescharacteristic, complemented
596C4×#120—111no—
597C2×#385—111no—
598C2×#385—111no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11C23×C412yes—
604C23×C11H(5,𝔽2)12yes—
605C23×C112−1+412yes—
606C23×C11C2511yescharacteristic
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—28no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—28no—
625C22×D11—44no—
626C22×D11—44no—
627C22×D11—44no—
628C22×D11—44no—
629C22×D11—44no—
630C22×D11C23×C412yes—
631C22×D11C23×C412yes—
632C22×D11C23×C412yes—
633C22×D11H(5,𝔽2)12yes—
634C22×D112−1+412yes—
635C2×C4×C11—28no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—44no—
673C2×C4×C11—82no—
674C2×C4×C11C23×C412yes—
675C2×C4×C11C23×C412yes—
676C2×C4×C11C23×C412yes—
677C2×C4×C11C23×C412yes—
678C2×C4×C11C23×C412yes—
679C2×C4×C11C23×C412yes—
680C22⋊D11—28no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—44no—
715C2×Dic11—44no—
716C2×Dic11—82no—
717C2×Dic11C23×C412yes—
718C2×Dic11C23×C412yes—
719C2×Dic11C23×C412yes—
720C2×Dic11C23×C412yes—
721C2×Dic11C23×C412yes—
722C2×Dic11H(5,𝔽2)12yes—
723D44—28no—
724D44—44no—
725C4×D11—28no—
726C4×D11—44no—
727C4×D11—44no—
728C4×D11—44no—
729C4×D11—44no—
730C4×D11—44no—
731C4×D11—44no—
732C4×D11—82no—
733C4×D11—82no—
734C4×D11—82no—
735C4×D11—82no—
736Dic22—44no—
737C24×C4—111no—
738#551—1116no—
739C2×#126—111no—
740C2×#126—111no—
741C2×#124—111no—
742C2×#123—111no—
743C2×#123—111no—
744C2×#123—111no—
745C2×C22⋊Q8—111no—
746C2×C22⋊Q8—111no—
747C2×#120—111no—
748C2×C4×Q8—111no—
749C2×C4×D4—111no—
750C2×C4×D4—111no—
751C2×C4×D4—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×C4×D4—111no—
755C2×C4×D4—111no—
756C2×#117—111no—
757C2×#117—111no—
758C2×#117C2×D1111yescharacteristic
759C2×#117C2×D1111yescharacteristic
760C22×C4⋊C4—111no—
761C22×C4⋊C4—111no—
762C22×C4⋊C4—111no—
763C22×C4⋊C4—111no—
764C22×C4⋊C4C2×D1111yescharacteristic
765C22×C22⋊C4—111no—
766C22×C22⋊C4—111no—
767C22×C22⋊C4—111no—
768C22×C22⋊C4—111no—
769#391—111no—
770#391—111no—
771#391—111no—
772#390—111no—
773#389—111no—
774#389—111no—
775#389—111no—
776#389—111no—
777#389—111no—
778#389—111no—
779#389—111no—
780#389—111no—
781#389—111no—
782#389—111no—
783#389C2×D1111yescharacteristic, complemented
784#389C2×D1111yescharacteristic, complemented
785#389C2×D1111yescharacteristic, complemented
786#389C2×D1111yescharacteristic, complemented
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—111no—
793#388—111no—
794#388—111no—
795#388—111no—
796#388—111no—
797#388—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#387—111no—
804#387—111no—
805#387—111no—
806#387—111no—
807#387—111no—
808#387—111no—
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#386—111no—
820#386—111no—
821#386—111no—
822#386—111no—
823#386—111no—
824#386—111no—
825#385—111no—
826#385—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385—111no—
831#385—111no—
832#385—111no—
833#385—111no—
834#385—111no—
835#385—111no—
836#385—111no—
837#385—111no—
838#385—111no—
839#385—111no—
840#385—111no—
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385—111no—
850#385—111no—
851#385C2×D1111yescharacteristic
852#385C2×D1111yescharacteristic
853#385C2×D1111yescharacteristic
854#385C2×D1111yescharacteristic
855#384—111no—
856#384C2×D1111yescharacteristic, complemented
857#384C2×D1111yescharacteristic, complemented
858#383—111no—
859#383—111no—
860#382—111no—
861#382—111no—
862#382C2×D1111yescharacteristic, complemented
863#382C2×D1111yescharacteristic, complemented
864#381—111no—
865#381—111no—
866#381—111no—
867#380—111no—
868#380—111no—
869#380—111no—
870#380—111no—
871#379—111no—
872C4×C4⋊C4—111no—
873C4×C4⋊C4—111no—
874C4×C4⋊C4—111no—
875C4×C4⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888#376—111no—
889C2×#95—111no—
890C2×#95—111no—
891C2×#95—111no—
892C2×#95—111no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—22no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11#52014yes—
900C22×C11C24×C411yescharacteristic
901C22×C11C2×H(5,𝔽2)11yescharacteristic
902C22×C11C2×H(5,𝔽2)11yescharacteristic
903C22×C11C2×H(5,𝔽2)11yescharacteristic
904C22×C11C2×2−1+411yescharacteristic
905C22×C11C2×2−1+411yescharacteristic
906C22×C11#58511yescharacteristic
907C2×D11—22no—
908C2×D11—22no—
909C2×D11—22no—
910C2×D11—22no—
911C2×D11—22no—
912C2×D11—22no—
913C2×D11—22no—
914C2×D11—22no—
915C2×D11—22no—
916C2×D11—22no—
917C2×D11—22no—
918C2×D11—22no—
919C2×D11—416no—
920C2×D11—41no—
921C2×D11—41no—
922C2×D11—41no—
923C2×D11—41no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11#52014yes—
929C4×C11—22no—
930C4×C11—22no—
931C4×C11—22no—
932C4×C11—22no—
933C4×C11—22no—
934C4×C11—22no—
935C4×C11—41no—
936C4×C11—41no—
937C4×C11—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943Dic11—22no—
944Dic11—22no—
945Dic11—22no—
946Dic11—22no—
947Dic11—22no—
948Dic11—22no—
949Dic11—41no—
950Dic11—41no—
951Dic11—41no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956C25—111no—
957C22×Q8—111no—
958C22×D4—111no—
959C22×D4—111no—
960C22×D4—111no—
961C23×C4—111no—
962C23×C4—111no—
963C23×C4—111no—
964C23×C4—111no—
965C23×C4—111no—
966C23×C4—111no—
967C23×C4—111no—
968C23×C4—111no—
969C23×C4—111no—
970C23×C4—111no—
971C23×C4—111no—
972C23×C4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—442no—
976C23×C4—442no—
977C23×C4—442no—
978C23×C4C22×D1111yescharacteristic
979C23×C4C22×D1111yescharacteristic
980C23×C4C22×D1111yescharacteristic
981#126—118no—
982#126—118no—
983#124—118no—
984#123—118no—
985#123—118no—
986#123—118no—
987C22⋊Q8—118no—
988C22⋊Q8—118no—
989#120—118no—
990C4×Q8—442no—
991C4×D4—118no—
992C4×D4—118no—
993C4×D4—442no—
994C4×D4—442no—
995C4×D4—442no—
996C4×D4—442no—
997C4×D4—442no—
998#117—42no—
999#117—118no—
1000#117—442no—
1001#117C4×D1118yescomplemented
1002C2×C4⋊C4—42no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—442no—
1026C2×C4⋊C4—442no—
1027C2×C4⋊C4—442no—
1028C2×C4⋊C4—442no—
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C4⋊C4C22×D1111yescharacteristic
1035C2×C4⋊C4C22×D1111yescharacteristic
1036C2×C4⋊C4C22×D1111yescharacteristic
1037C2×C4⋊C4C22×D1111yescharacteristic
1038C2×C4⋊C4C22×D1111yescharacteristic
1039C2×C4⋊C4C22×D1111yescharacteristic
1040C2×C4⋊C4C22×D1111yescharacteristic
1041C2×C4⋊C4C22×D1111yescharacteristic
1042C2×C4⋊C4C22×D1111yescharacteristic
1043C2×C4⋊C4C22×D1111yescharacteristic
1044C2×C4⋊C4C22×D1111yescharacteristic
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—118no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—118no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—442no—
1078C2×C22⋊C4—442no—
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C42—111no—
1084C2×C42—111no—
1085C2×C42—111no—
1086C2×C42—111no—
1087C2×C42—111no—
1088C2×C42—111no—
1089C2×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42C22×D1111yescharacteristic
1097C2×C42C22×D1111yescharacteristic
1098C2×C42C22×D1111yescharacteristic
1099C2×C42C22×D1111yescharacteristic
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144C2×C11—24no—
1145C2×C11C2×#52011yescharacteristic
1146C2×C11C2×#52011yescharacteristic
1147C2×C11C4×H(5,𝔽2)11yescharacteristic
1148C2×C11#353211yescharacteristic
1149C2×C11#353511yescharacteristic
1150C2×C11#353511yescharacteristic
1151C2×C11#353811yescharacteristic
1152D11—24no—
1153D11—42no—
1154D11—42no—
1155C24—111no—
1156C24—111no—
1157C24—111no—
1158C24—114no—
1159C24—222no—
1160C24—222no—
1161C24—222no—
1162C24—222no—
1163C24—441no—
1164C24—441no—
1165C24C23×D1111yescharacteristic
1166C2×Q8—114no—
1167C2×Q8—441no—
1168C2×Q8—441no—
1169C2×D4—114no—
1170C2×D4—114no—
1171C2×D4—114no—
1172C2×D4—222no—
1173C2×D4—222no—
1174C2×D4—222no—
1175C2×D4—222no—
1176C2×D4—441no—
1177C2×D4—441no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—111no—
1189C22×C4—111no—
1190C22×C4—111no—
1191C22×C4—111no—
1192C22×C4—114no—
1193C22×C4—114no—
1194C22×C4—114no—
1195C22×C4—114no—
1196C22×C4—111no—
1197C22×C4—111no—
1198C22×C4—111no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—111no—
1202C22×C4—111no—
1203C22×C4—222no—
1204C22×C4—222no—
1205C22×C4—222no—
1206C22×C4—222no—
1207C22×C4—222no—
1208C22×C4—222no—
1209C22×C4—222no—
1210C22×C4—222no—
1211C22×C4—222no—
1212C22×C4—222no—
1213C22×C4—222no—
1214C22×C4—222no—
1215C22×C4—441no—
1216C22×C4—441no—
1217C22×C4—441no—
1218C22×C4—441no—
1219C22×C4—441no—
1220C22×C4—441no—
1221C22×C4—441no—
1222C22×C4—441no—
1223C22×C4—441no—
1224C22×C4—441no—
1225C22×C4—441no—
1226C22×C4—441no—
1227C22×C4—441no—
1228C22×C4—441no—
1229C22×C4—441no—
1230C22×C4—441no—
1231C22×C4—441no—
1232C22×C4—441no—
1233C22×C4—441no—
1234C22×C4—441no—
1235C22×C4—441no—
1236C22×C4—4416no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4—441no—
1241C22×C4—441no—
1242C22×C4C2×C4×D1114yes—
1243C22×C4C23×D1111yescharacteristic
1244C22×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C22×C4C23×D1111yescharacteristic
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—114no—
1272C4⋊C4—114no—
1273C4⋊C4—114no—
1274C4⋊C4—114no—
1275C4⋊C4—114no—
1276C4⋊C4—114no—
1277C4⋊C4—222no—
1278C4⋊C4—222no—
1279C4⋊C4—222no—
1280C4⋊C4—222no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C4⋊C4—441no—
1285C4⋊C4—441no—
1286C4⋊C4—441no—
1287C4⋊C4—441no—
1288C4⋊C4—441no—
1289C4⋊C4—441no—
1290C4⋊C4—441no—
1291C4⋊C4—441no—
1292C4⋊C4—441no—
1293C4⋊C4C2×C4×D1114yescomplemented
1294C4⋊C4C2×C4×D1114yescomplemented
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—114no—
1298C22⋊C4—114no—
1299C22⋊C4—114no—
1300C22⋊C4—114no—
1301C22⋊C4—114no—
1302C22⋊C4—114no—
1303C22⋊C4—114no—
1304C22⋊C4—114no—
1305C22⋊C4—114no—
1306C22⋊C4—114no—
1307C22⋊C4—114no—
1308C22⋊C4—114no—
1309C22⋊C4—222no—
1310C22⋊C4—222no—
1311C22⋊C4—222no—
1312C22⋊C4—222no—
1313C22⋊C4—222no—
1314C22⋊C4—222no—
1315C22⋊C4—441no—
1316C22⋊C4—441no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C22⋊C4C2×C4×D1114yes—
1328C22⋊C4C2×C4×D1114yes—
1329C42—41no—
1330C42—41no—
1331C42—114no—
1332C42—222no—
1333C42—441no—
1334C42—441no—
1335C42—441no—
1336C42—441no—
1337C42—441no—
1338C42—441no—
1339C42—441no—
1340C42—441no—
1341C42—441no—
1342C42—441no—
1343C42—441no—
1344C42C2×C4×D1114yescomplemented
1345C42C2×C4×D1114yescomplemented
1346C11#3445711yescharacteristic, complemented, Sylow
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—112no—
1352C23—112no—
1353C23—112no—
1354C23—112no—
1355C23—112no—
1356C23—228no—
1357C23—221no—
1358C23—221no—
1359C23—221no—
1360C23—221no—
1361C23—228no—
1362C23—221no—
1363C23—221no—
1364C23—221no—
1365C23—221no—
1366C23—221no—
1367C23—221no—
1368C23—221no—
1369C23—221no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—444no—
1375C23—444no—
1376C23—444no—
1377C23—444no—
1378C23—444no—
1379C23C22×C4×D1112yes—
1380C23#6703712yes—
1381C23#6704012yes—
1382C23C24×D1111yescharacteristic
1383Q8—444no—
1384D4—228no—
1385D4—228no—
1386D4—444no—
1387C2×C4—28no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—44no—
1425C2×C4—82no—
1426C2×C4—112no—
1427C2×C4—112no—
1428C2×C4—112no—
1429C2×C4—112no—
1430C2×C4—112no—
1431C2×C4—112no—
1432C2×C4—228no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—444no—
1467C2×C4—444no—
1468C2×C4—444no—
1469C2×C4—444no—
1470C2×C4—444no—
1471C2×C4—444no—
1472C2×C4—444no—
1473C2×C4—444no—
1474C2×C4—882no—
1475C2×C4—882no—
1476C2×C4—882no—
1477C2×C4—882no—
1478C2×C4—882no—
1479C2×C4C22×C4×D1112yes—
1480C2×C4C22×C4×D1112yes—
1481C2×C4C22×C4×D1112yes—
1482C2×C4C22×C4×D1112yes—
1483C2×C4C22×C4×D1112yes—
1484C2×C4C22×C4×D1112yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—114no—
1492C22—222no—
1493C22—222no—
1494C22—222no—
1495C22—222no—
1496C22—222no—
1497C22—222no—
1498C22—222no—
1499C22—222no—
1500C22—222no—
1501C22—222no—
1502C22—222no—
1503C22—222no—
1504C22—4416no—
1505C22—441no—
1506C22—441no—
1507C22—441no—
1508C22—441no—
1509C22—441no—
1510C22—441no—
1511C22—441no—
1512C22—441no—
1513C22#1062303514yes—
1514C22C23×C4×D1111yescharacteristic
1515C22C2×#6703711yescharacteristic
1516C22C2×#6704011yescharacteristic
1517C22D11×H(5,𝔽2)11yescharacteristic
1518C22D11×H(5,𝔽2)11yescharacteristic
1519C22D11×2−1+411yescharacteristic
1520C22#1062345711yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—222no—
1536C4—222no—
1537C4—222no—
1538C4—222no—
1539C4—222no—
1540C4—222no—
1541C4—441no—
1542C4—441no—
1543C4—441no—
1544C4—441no—
1545C4—441no—
1546C4—441no—
1547C4—441no—
1548C2—24no—
1549C2—224no—
1550C2—442no—
1551C2—442no—
1552C2D11×#52011yescharacteristic
1553C2C2×#1062303511yescharacteristic
1554C2#1308182211yescharacteristic
1555C2#1308277011yescharacteristic
1556C2#1308281511yescharacteristic
1557C2#1308282611yescharacteristic
1558C2#1308285811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2317C2
socle, cosocleC23×C11C25
prime radicalC2×#66935C22
hypercenter#2317D11
hypocenterC11#34457
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2317

Complements

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

NH ≅ G/Ntype
2. #13071809C2semidirect
3. #13071807C2semidirect
4. #13071787C2semidirect
5. #13071761C2semidirect
6. #13071618C2semidirect
7. #13071616C2semidirect
8. #13071608C2semidirect
9. #13071603C2semidirect
11. #13071516C2semidirect
12. #13071514C2semidirect
13. #13071476C2semidirect
14. #13071469C2semidirect
15. #13071466C2semidirect
16. #13071463C2semidirect
17. #13071390C2semidirect
18. #13071387C2semidirect
19. #13071350C2semidirect
20. #13071347C2semidirect
21. #13071324C2semidirect
22. #13071285C2semidirect
23. #13071280C2semidirect
24. #13071280C2semidirect
25. #13071252C2semidirect
26. #13071244C2semidirect
27. #13071237C2semidirect
29. C2×#10622602C2semidirect
30. D11×#385C2semidirect
31. C11×#2317C2semidirect
41. #10623058C4semidirect
52. C2×C4⋊C4×D11C22semidirect
53. C2×#66940C22semidirect
64. C11×#389C22semidirect
65. C11×#389C22semidirect
66. C11×#389C22semidirect
67. C11×#389C22semidirect
72. C11×#384C22semidirect
73. C11×#384C22semidirect
74. C11×#382C22semidirect
75. C11×#382C22semidirect
87. #10622603C22semidirect
88. #10622603C22semidirect
89. #10622603C22semidirect
90. #10622603C22semidirect
106. #10622602C22semidirect
107. #10622602C22semidirect
108. #10622602C22semidirect
109. #10622602C22semidirect
112. #10622600C22semidirect
113. #10622594C22semidirect
114. #10622594C22semidirect
115. #10622594C22semidirect
116. #10622594C22semidirect
117. #10622591C22semidirect
118. #10622591C22semidirect
119. #10622591C22semidirect
120. #10622591C22semidirect
121. #10622591C22semidirect
122. #10622590C22semidirect
123. #10622589C22semidirect
124. #10622587C22semidirect
125. #10622586C22semidirect
126. #10622586C22semidirect
127. #10622585C22semidirect
128. #10622585C22semidirect
129. #10622585C22semidirect
130. #10622585C22semidirect
131. #10622585C22semidirect
132. #10622585C22semidirect
133. #10622585C22semidirect
146. #10622553C22semidirect
149. C4×(C2×D11)⋊C4C22semidirect
150. #10622550C22semidirect
151. #10622549C22semidirect
152. C4×C4⋊Dic11C22semidirect
153. #10622546C22semidirect
154. #10622545C22semidirect
155. C4×Dic11⋊C4C22semidirect
158. #10622283C22semidirect
162. #10622281C22semidirect
163. #10622280C22semidirect
173. #10622277C22semidirect
176. #10622268C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622265C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622262C22semidirect
184. #10622262C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
214. C11×#117C2×C4semidirect
243. #66982C2×C4semidirect
246. C2×(C2×D11)⋊C4C2×C4semidirect
310. #66951C2×C4semidirect
311. #66949C2×C4semidirect
312. #66947C2×C4semidirect
313. #66947C2×C4semidirect
324. (C22⋊D11)⋊C4C2×C4semidirect
326. C22⋊C4×D11C2×C4semidirect
327. #66931C2×C4semidirect
328. #66929C2×C4semidirect
329. #66928C2×C4semidirect
330. C4×D44C2×C4semidirect
331. #66925C2×C4semidirect
475. C2×C4×D11C22×C4semidirect
478. C2×Dic22C22×C4semidirect
493. C11×C4⋊C4C22×C4semidirect
494. C11×C4⋊C4C22×C4semidirect
501. C42×C11C22×C4semidirect
502. C42×C11C22×C4semidirect
530. (C2×D11)⋊C4C22×C4semidirect
531. (C2×D11)⋊C4C22×C4semidirect
532. (C2×D11)⋊C4C22×C4semidirect
537. C4⋊Dic11C22×C4semidirect
550. Dic11⋊C4C22×C4semidirect
551. Dic11⋊C4C22×C4semidirect
552. Dic11⋊C4C22×C4semidirect
553. Dic11⋊C4C22×C4semidirect
554. Dic11⋊C4C22×C4semidirect
567. C4×Dic11C22×C4semidirect
595. #2317D11semidirect
783. #389C2×D11semidirect
784. #389C2×D11semidirect
785. #389C2×D11semidirect
786. #389C2×D11semidirect
856. #384C2×D11semidirect
857. #384C2×D11semidirect
862. #382C2×D11semidirect
863. #382C2×D11semidirect
1001. #117C4×D11semidirect
1293. C4⋊C4C2×C4×D11semidirect
1294. C4⋊C4C2×C4×D11semidirect
1344. C42C2×C4×D11semidirect
1345. C42C2×C4×D11semidirect
1346. C11#34457semidirect

Maximal subgroups

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

subgroupindex
C2×#106230582
#130718092
#130718072
#130717872
#130717612
#130716182
#130716162
#130716082
#130716032
#130715922
#130715162
#130715142
#130714762
#130714692
#130714662
#130714632
#130713902
#130713872
#130713502
#130713472
#130713242
#130712852
#130712802
#130712522
#130712442
#130712372
#130711172
C2×#106226022
D11×#3852
C11×#23172
#3445711