Finite Group Databasebeta

← #14918300

Subgroups — #14918300

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×#10623141C211yesmaximal, characteristic
2#13071789C211yesmaximal, characteristic, complemented
3#13071769C211yesmaximal, characteristic, complemented
4#13071767C211yesmaximal, characteristic, complemented
5#13071761C211yesmaximal, characteristic, complemented
6#13071700C211yesmaximal, characteristic, complemented
7#13071614C211yesmaximal, characteristic, complemented
8#13071596C211yesmaximal, characteristic, complemented
9#13071593C211yesmaximal, characteristic, complemented
10#13071541C211yesmaximal, characteristic, complemented
11#13071522C211yesmaximal, characteristic, complemented
12#13071468C211yesmaximal, characteristic, complemented
13#13071464C211yesmaximal, characteristic, complemented
14#13071441C211yesmaximal, characteristic, complemented
15D4×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
16#13071423C211yesmaximal, characteristic, complemented
17#13071400C211yesmaximal, characteristic, complemented
18#13071350C211yesmaximal, characteristic, complemented
19#13071321C211yesmaximal, characteristic, complemented
20#13071314C211yesmaximal, characteristic, complemented
21#13071308C211yesmaximal, characteristic, complemented
22#13071281C211yesmaximal, characteristic, complemented
23#13071275C211yesmaximal, characteristic, complemented
24#13071246C211yesmaximal, characteristic, complemented
25#13071243C211yesmaximal, characteristic, complemented
26#13071227C211yesmaximal, characteristic, complemented
27#13071203C211yesmaximal, characteristic, complemented
28C4×#66990C211yesmaximal, characteristic, complemented
29D11×#386C211yesmaximal, characteristic, complemented
30C2×#10622602C211yesmaximal, characteristic, complemented
31C11×#2361C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic, complemented
38C2×C4×D4×C11C2211yescharacteristic, complemented
39C22×C11×C4⋊C4C2211yescharacteristic, complemented
40C2×#66992C2211yescharacteristic
41C2×#66990C2211yescharacteristic
42C2×#66990C2211yescharacteristic
43C2×#66988C2211yescharacteristic
44C2×D4×Dic11C2211yescharacteristic
45C2×D4×Dic11C2211yescharacteristic, complemented
46C2×C4×C22⋊D11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C2×C4×C22⋊D11C2211yescharacteristic, complemented
49C22×(C2×D11)⋊C4C2211yescharacteristic
50C22×(C2×D11)⋊C4C2211yescharacteristic
51C22×(C2×D11)⋊C4C2211yescharacteristic
52C22×Dic11⋊C4C2211yescharacteristic, complemented
53#10623141C4116yescomplemented
54C2×#66949C2211yescharacteristic
55C2×#66947C2211yescharacteristic
56C2×#66945C2211yescharacteristic, complemented
57C2×#66938C2211yescharacteristic
58C2×#66937C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic
61C2×C22⋊C4×D11C2211yescharacteristic
62C2×C22⋊C4×D11C2211yescharacteristic
63C2×C22⋊C4×D11C2211yescharacteristic
64C2×C22⋊C4×D11C2211yescharacteristic
65C2×#66930C2211yescharacteristic, complemented
66C11×#390C2211yescharacteristic, complemented
67C11×#389C2211yescharacteristic, complemented
68C11×#388C2211yescharacteristic, complemented
69C11×#388C2211yescharacteristic, complemented
70C11×#386C2211yescharacteristic
71C11×#386C2211yescharacteristic, complemented
72C11×#385C2211yescharacteristic, complemented
73C11×#385C2211yescharacteristic, complemented
74C4×C11×C4⋊C4C2211yescharacteristic, complemented
75C4×C11×C22⋊C4C2211yescharacteristic, complemented
76#10622833C2211yescharacteristic
77#10622833C2211yescharacteristic, complemented
78#10622833C2211yescharacteristic, complemented
79#10622833C2211yescharacteristic, complemented
80#10622826C2211yescharacteristic
81#10622826C2211yescharacteristic
82#10622826C2211yescharacteristic
83#10622826C2211yescharacteristic, complemented
84#10622825C2211yescharacteristic, complemented
85#10622823C2211yescharacteristic, complemented
86#10622823C2211yescharacteristic, complemented
87C4×C22⋊Dic11C2211yescharacteristic, complemented
88C4×C22⋊Dic11C2211yescharacteristic, complemented
89C2×C11⋊#95C2211yescharacteristic, complemented
90C2×C11⋊#95C2211yescharacteristic, complemented
91C2×C11⋊#95C2211yescharacteristic, complemented
92#10622603C2211yescharacteristic, complemented
93#10622603C2211yescharacteristic, complemented
94#10622602C2211yescharacteristic
95#10622602C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622602C2211yescharacteristic
98#10622602C2211yescharacteristic
99#10622602C2211yescharacteristic, complemented
100#10622602C2211yescharacteristic, complemented
101#10622602C2211yescharacteristic, complemented
102#10622602C2211yescharacteristic, complemented
103#10622602C2211yescharacteristic, complemented
104#10622601C2211yescharacteristic
105#10622600C2211yescharacteristic
106#10622600C2211yescharacteristic, complemented
107#10622600C2211yescharacteristic, complemented
108#10622594C2211yescharacteristic, complemented
109#10622594C2211yescharacteristic, complemented
110#10622591C2211yescharacteristic, complemented
111#10622591C2211yescharacteristic, complemented
112#10622590C2211yescharacteristic, complemented
113C4⋊C4×Dic11C2211yescharacteristic, complemented
114#10622587C2211yescharacteristic, complemented
115#10622585C2211yescharacteristic, complemented
116#10622585C2211yescharacteristic, complemented
117#10622571C2211yescharacteristic
118#10622571C2211yescharacteristic
119#10622571C2211yescharacteristic
120#10622571C2211yescharacteristic, complemented
121#10622571C2211yescharacteristic, complemented
122#10622570C2211yescharacteristic, complemented
123#10622570C2211yescharacteristic, complemented
124#10622570C2211yescharacteristic, complemented
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622569C2211yescharacteristic, complemented
130#10622568C2211yescharacteristic
131#10622568C2211yescharacteristic
132#10622564C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622563C2211yescharacteristic, complemented
135#10622563C2211yescharacteristic, complemented
136#10622559C2211yescharacteristic, complemented
137#10622559C2211yescharacteristic, complemented
138#10622559C2211yescharacteristic, complemented
139#10622558C2211yescharacteristic, complemented
140#10622558C2211yescharacteristic, complemented
141#10622558C2211yescharacteristic, complemented
142#10622557C2211yescharacteristic, complemented
143#10622556C2211yescharacteristic, complemented
144#10622556C2211yescharacteristic, complemented
145#10622555C2211yescharacteristic, complemented
146#10622555C2211yescharacteristic, complemented
147C22⋊C4×Dic11C2211yescharacteristic, complemented
148#10622553C2211yescharacteristic, complemented
149#10622553C2211yescharacteristic, complemented
150#10622553C2211yescharacteristic, complemented
151#10622553C2211yescharacteristic, complemented
152#10622552C2211yescharacteristic
153C4×(C2×D11)⋊C4C2211yescharacteristic
154C4×(C2×D11)⋊C4C2211yescharacteristic
155C4×(C2×D11)⋊C4C2211yescharacteristic
156C4×(C2×D11)⋊C4C2211yescharacteristic
157C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
159#10622546C2211yescharacteristic, complemented
160#10622546C2211yescharacteristic, complemented
161#10622546C2211yescharacteristic, complemented
162#10622546C2211yescharacteristic, complemented
163#10622542C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622283C2211yescharacteristic, complemented
166#10622283C2211yescharacteristic, complemented
167#10622282C2211yescharacteristic, complemented
168#10622281C2211yescharacteristic
169#10622281C2211yescharacteristic
170#10622281C2211yescharacteristic
171#10622280C2211yescharacteristic, complemented
172#10622280C2211yescharacteristic, complemented
173#10622280C2211yescharacteristic, complemented
174#10622279C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622277C2211yescharacteristic, complemented
178D11×#95C2211yescharacteristic
179D11×#95C2211yescharacteristic
180#10622268C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C2×#4341—42no—
210C2×#4341—42no—
211C2×#4341C2×C418yescomplemented
212C2×D4×D11—42no—
213C2×D4×D11—42no—
214C2×D4×D11C2×C418yescomplemented
215C22×D44C2311yescharacteristic
216C22×C4×D11—42no—
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
228C22×Dic22C2311yescharacteristic
229C11×#121C2×C418yescomplemented
230C4×D4×C11—42no—
231C4×D4×C11—42no—
232C4×D4×C11—42no—
233C2×C11×C4⋊C4—42no—
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C42×C11C2311yescharacteristic
252C2×C42×C11C2311yescharacteristic
253C2×C42×C11C2311yescharacteristic
254C2×C42×C11C2311yescharacteristic
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
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266#66992C2×C418yescomplemented
267#66990C2×C418yescomplemented
268#66990C2×C418yescomplemented
269#66988C2×C418yescomplemented
270D4×Dic11—42no—
271D4×Dic11—42no—
272C4×C22⋊D11—42no—
273C4×C22⋊D11—42no—
274C4×C22⋊D11C2×C418yescomplemented
275C2×(C2×D11)⋊C4—42no—
276C2×(C2×D11)⋊C4—42no—
277C2×(C2×D11)⋊C4C2×C418yescomplemented
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
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×Dic11⋊C4—42no—
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×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
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#66949C2×C418yescomplemented
331#66947C2×C418yescomplemented
332#66945—42no—
333#66938C2×C418yescomplemented
334#66937C2×C418yescomplemented
335(C22⋊D11)⋊C4—42no—
336(C22⋊D11)⋊C4C2×C418yescomplemented
337C22⋊C4×D11—42no—
338C22⋊C4×D11—42no—
339C22⋊C4×D11—42no—
340C22⋊C4×D11C2×C418yescomplemented
341#66930—42no—
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×C11C2411yescharacteristic
384C24×C11C2411yescharacteristic
385C24×C11C2411yescharacteristic
386C23×D11—22no—
387C23×D11—22no—
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—22no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11—41no—
396C23×D11—41no—
397C23×D11—41no—
398C23×D11C22×C414yes—
399C23×D11C22×C414yes—
400C23×D11C2411yescharacteristic
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11C22×C414yes—
410C2×D4×C11C22×C414yes—
411C2×D4×C11C22×C414yescomplemented
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
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×C11C22×C414yes—
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11C22×C414yes—
450C2×C22⋊D11C22×C414yes—
451C2×C22⋊D11C22×C414yes—
452C2×C22⋊D11C22×C414yes—
453C2×C22⋊D11C22×C414yescomplemented
454C22×Dic11—22no—
455C22×Dic11—22no—
456C22×Dic11—22no—
457C22×Dic11—22no—
458C22×Dic11—41no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11—41no—
462C22×Dic11—41no—
463C22×Dic11—41no—
464C22×Dic11—41no—
465C22×Dic11—41no—
466C22×Dic11—41no—
467C22×Dic11—41no—
468C22×Dic11—41no—
469C22×Dic11—41no—
470C22×Dic11C22×C414yes—
471C22×Dic11C22×C414yescomplemented
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485#4341—416no—
486D4×D11—416no—
487C2×D44—41no—
488C2×D44—41no—
489C2×D44C22×C414yes—
490C2×C4×D11—22no—
491C2×C4×D11—22no—
492C2×C4×D11—22no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
495C2×C4×D11—22no—
496C2×C4×D11—41no—
497C2×C4×D11—41no—
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—416no—
515C2×C4×D11C22×C414yes—
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⋊C4C22×C414yescomplemented
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4—41no—
535C11×C22⋊C4—41no—
536C11×C22⋊C4C22×C414yescomplemented
537C11×C22⋊C4C22×C414yescomplemented
538C42×C11—41no—
539C42×C11—41no—
540C42×C11—41no—
541C42×C11—41no—
542C22⋊Dic11—22no—
543C22⋊Dic11—22no—
544C22⋊Dic11—41no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11—41no—
548C22⋊Dic11—41no—
549C22⋊Dic11—41no—
550C22⋊Dic11C22×C414yes—
551C22⋊Dic11C22×C414yescomplemented
552C22⋊Dic11C22×C414yescomplemented
553(C2×D11)⋊C4—22no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—22no—
556(C2×D11)⋊C4—22no—
557(C2×D11)⋊C4—22no—
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)⋊C4—41no—
571(C2×D11)⋊C4C22×C414yes—
572(C2×D11)⋊C4C22×C414yes—
573(C2×D11)⋊C4C22×C414yes—
574(C2×D11)⋊C4C22×C414yes—
575(C2×D11)⋊C4C22×C414yes—
576(C2×D11)⋊C4C22×C414yes—
577(C2×D11)⋊C4C22×C414yescomplemented
578C4⋊Dic11—41no—
579C4⋊Dic11—41no—
580C4⋊Dic11—41no—
581C4⋊Dic11—41no—
582Dic11⋊C4—41no—
583Dic11⋊C4—41no—
584Dic11⋊C4—41no—
585Dic11⋊C4—41no—
586Dic11⋊C4—41no—
587Dic11⋊C4—41no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590Dic11⋊C4—41no—
591Dic11⋊C4—41no—
592Dic11⋊C4C22×C414yescomplemented
593Dic11⋊C4C22×C414yescomplemented
594Dic11⋊C4C22×C414yescomplemented
595C4×Dic11—22no—
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#2361D1111yescharacteristic, complemented
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×#385—111no—
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—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11C23×C412yes—
652C23×C11C23×C412yes—
653C23×C11C23×C412yes—
654C23×C11H(5,𝔽2)12yes—
655C23×C11H(5,𝔽2)12yes—
656C23×C11C2511yescharacteristic
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—28no—
662C22×D11—21no—
663C22×D11—21no—
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—28no—
675C22×D11—28no—
676C22×D11—44no—
677C22×D11—44no—
678C22×D11—44no—
679C22×D11—44no—
680C22×D11—44no—
681C22×D11—44no—
682C22×D11—44no—
683C22×D11—82no—
684C22×D11—82no—
685C22×D11—82no—
686C22×D11—82no—
687C22×D11C23×C412yes—
688C22×D11C23×C412yes—
689C22×D11C23×C412yes—
690C22×D11H(5,𝔽2)12yes—
691C22×D112−1+412yes—
692D4×C11—28no—
693D4×C11—28no—
694D4×C11—44no—
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—21no—
725C2×C4×C11—21no—
726C2×C4×C11—44no—
727C2×C4×C11—44no—
728C2×C4×C11—82no—
729C2×C4×C11—82no—
730C2×C4×C11—82no—
731C2×C4×C11C23×C412yes—
732C2×C4×C11C23×C412yes—
733C2×C4×C11C23×C412yes—
734C2×C4×C11C23×C412yes—
735C2×C4×C11H(5,𝔽2)12yes—
736C22⋊D11—28no—
737C22⋊D11—28no—
738C22⋊D11—44no—
739C22⋊D11—44no—
740C22⋊D11—44no—
741C2×Dic11—28no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
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—44no—
777C2×Dic11—44no—
778C2×Dic11—82no—
779C2×Dic11—82no—
780C2×Dic11—82no—
781C2×Dic11C23×C412yes—
782C2×Dic11C23×C412yes—
783C2×Dic11C23×C412yes—
784C2×Dic11C23×C412yes—
785C2×Dic11C23×C412yes—
786D44—44no—
787C4×D11—44no—
788C4×D11—44no—
789C4×D11—44no—
790C4×D11—44no—
791C4×D11—44no—
792C4×D11—44no—
793C4×D11—44no—
794C4×D11—82no—
795C4×D11—82no—
796Dic22—44no—
797C22×#41—111no—
798C23×D4—111no—
799C24×C4—111no—
800#546—1116no—
801C2×#124—111no—
802C2×#123—111no—
803C2×#123—111no—
804C2×C22⋊Q8—111no—
805C2×#121—111no—
806C2×#121—111no—
807C2×#121C2×D1111yescharacteristic
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×D4C2×D1111yescharacteristic
818C2×C4×D4C2×D1111yescharacteristic, complemented
819C2×C4×D4C2×D1111yescharacteristic, complemented
820C2×#117—111no—
821C2×#117—111no—
822C22×C4⋊C4—111no—
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⋊C4—111no—
830C22×C22⋊C4—111no—
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#390C2×D1111yescharacteristic, complemented
841#389—111no—
842#389—111no—
843#389—111no—
844#389C2×D1111yescharacteristic, complemented
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#388C2×D1111yescharacteristic, complemented
862#388C2×D1111yescharacteristic, complemented
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#386C2×D1111yescharacteristic
894#386C2×D1111yescharacteristic, complemented
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#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
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⋊C4C2×D1111yescharacteristic, complemented
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⋊C4C2×D1111yescharacteristic, complemented
948C2×#95—111no—
949C2×#95—111no—
950C2×#95—111no—
951C2×#95—111no—
952C2×#95—111no—
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—41no—
966C22×C11—41no—
967C22×C11—41no—
968C22×C11—41no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11#51814yes—
974C22×C11C24×C411yescharacteristic
975C22×C11C2×H(5,𝔽2)11yescharacteristic
976C22×C11C2×H(5,𝔽2)11yescharacteristic
977C22×C11C2×H(5,𝔽2)11yescharacteristic
978C22×C11C2×H(5,𝔽2)11yescharacteristic
979C22×C11C2×2−1+411yescharacteristic
980C22×C11#58511yescharacteristic
981C2×D11—22no—
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—22no—
992C2×D11—22no—
993C2×D11—416no—
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—88no—
1003C2×D11#52014yes—
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—
1030C25—111no—
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—111no—
1040C22×D4—118no—
1041C22×D4—111no—
1042C22×D4—442no—
1043C22×D4—442no—
1044C22×D4C22×D1111yescharacteristic
1045C22×D4C22×D1111yescharacteristic
1046C22×D4C22×D1111yescharacteristic
1047C23×C4—111no—
1048C23×C4—111no—
1049C23×C4—111no—
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×C4—111no—
1061C23×C4—111no—
1062C23×C4—442no—
1063C23×C4—442no—
1064C23×C4—442no—
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#121C4×D1118yescomplemented
1077#120—118no—
1078#120—118no—
1079C4×D4—42no—
1080C4×D4—42no—
1081C4×D4—42no—
1082C4×D4—118no—
1083C4×D4—118no—
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—111no—
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⋊C4—442no—
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—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—118no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—118no—
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—442no—
1156C2×C22⋊C4—442no—
1157C2×C22⋊C4—442no—
1158C2×C22⋊C4—442no—
1159C2×C22⋊C4—442no—
1160C2×C22⋊C4C22×D1111yescharacteristic
1161C2×C22⋊C4C22×D1111yescharacteristic
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×C42C22×D1111yescharacteristic
1180C2×C42C22×D1111yescharacteristic
1181C2×C42C22×D1111yescharacteristic
1182C2×C42C22×D1111yescharacteristic
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#95—111no—
1216#95—111no—
1217#95C22×D1111yescharacteristic
1218#95C22×D1111yescharacteristic
1219#95C22×D1111yescharacteristic
1220#95C22×D1111yescharacteristic
1221#95C22×D1111yescharacteristic
1222#95C22×D1111yescharacteristic
1223C2×C11—24no—
1224C2×C11—42no—
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—24no—
1234D11—42no—
1235D11—42no—
1236C24—111no—
1237C24—111no—
1238C24—111no—
1239C24—114no—
1240C24—114no—
1241C24—222no—
1242C24—222no—
1243C24—222no—
1244C24—222no—
1245C24—222no—
1246C24—222no—
1247C24—441no—
1248C24—441no—
1249C24—441no—
1250C24—441no—
1251C24—441no—
1252C24—441no—
1253C24C23×D1111yescharacteristic
1254C24C23×D1111yescharacteristic
1255C24C23×D1111yescharacteristic
1256#41—4416no—
1257C2×Q8—114no—
1258C2×Q8—441no—
1259C2×Q8—441no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—114no—
1267C2×D4—114no—
1268C2×D4—114no—
1269C2×D4—114no—
1270C2×D4—114no—
1271C2×D4—114no—
1272C2×D4—222no—
1273C2×D4—222no—
1274C2×D4—222no—
1275C2×D4—222no—
1276C2×D4—441no—
1277C2×D4—441no—
1278C2×D4—441no—
1279C2×D4—441no—
1280C2×D4—441no—
1281C2×D4—441no—
1282C2×D4—441no—
1283C2×D4—441no—
1284C2×D4—4416no—
1285C2×D4C2×C4×D1114yes—
1286C2×D4C2×C4×D1114yes—
1287C2×D4C2×C4×D1114yescomplemented
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—114no—
1303C22×C4—111no—
1304C22×C4—111no—
1305C22×C4—111no—
1306C22×C4—111no—
1307C22×C4—111no—
1308C22×C4—114no—
1309C22×C4—114no—
1310C22×C4—114no—
1311C22×C4—114no—
1312C22×C4—111no—
1313C22×C4—111no—
1314C22×C4—111no—
1315C22×C4—111no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—111no—
1320C22×C4—222no—
1321C22×C4—222no—
1322C22×C4—222no—
1323C22×C4—222no—
1324C22×C4—222no—
1325C22×C4—222no—
1326C22×C4—222no—
1327C22×C4—222no—
1328C22×C4—222no—
1329C22×C4—222no—
1330C22×C4—441no—
1331C22×C4—441no—
1332C22×C4—441no—
1333C22×C4—441no—
1334C22×C4—441no—
1335C22×C4—441no—
1336C22×C4—441no—
1337C22×C4—441no—
1338C22×C4—441no—
1339C22×C4—441no—
1340C22×C4—441no—
1341C22×C4—441no—
1342C22×C4—441no—
1343C22×C4—441no—
1344C22×C4—441no—
1345C22×C4—441no—
1346C22×C4—441no—
1347C22×C4—441no—
1348C22×C4—4416no—
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×C4—441no—
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—114no—
1381C4⋊C4—114no—
1382C4⋊C4—114no—
1383C4⋊C4—441no—
1384C4⋊C4—441no—
1385C4⋊C4—441no—
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⋊C4C2×C4×D1114yescomplemented
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—114no—
1407C22⋊C4—114no—
1408C22⋊C4—114no—
1409C22⋊C4—114no—
1410C22⋊C4—114no—
1411C22⋊C4—114no—
1412C22⋊C4—114no—
1413C22⋊C4—114no—
1414C22⋊C4—114no—
1415C22⋊C4—114no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—222no—
1421C22⋊C4—222no—
1422C22⋊C4—222no—
1423C22⋊C4—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⋊C4—441no—
1441C22⋊C4—441no—
1442C22⋊C4C2×C4×D1114yescomplemented
1443C22⋊C4C2×C4×D1114yescomplemented
1444C42—41no—
1445C42—41no—
1446C42—41no—
1447C42—41no—
1448C42—114no—
1449C42—222no—
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—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—112no—
1475C23—112no—
1476C23—112no—
1477C23—112no—
1478C23—112no—
1479C23—228no—
1480C23—228no—
1481C23—221no—
1482C23—221no—
1483C23—221no—
1484C23—221no—
1485C23—228no—
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—444no—
1499C23—444no—
1500C23—444no—
1501C23—444no—
1502C23—444no—
1503C23—444no—
1504C23—444no—
1505C23—882no—
1506C23—882no—
1507C23—882no—
1508C23—882no—
1509C23C22×C4×D1112yes—
1510C23C22×C4×D1112yes—
1511C23C22×C4×D1112yes—
1512C23#6703712yes—
1513C23#6704212yes—
1514C23C24×D1111yescharacteristic
1515Q8—444no—
1516D4—28no—
1517D4—28no—
1518D4—44no—
1519D4—228no—
1520D4—228no—
1521D4—444no—
1522D4—444no—
1523D4—444no—
1524D4—444no—
1525C2×C4—21no—
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—44no—
1557C2×C4—44no—
1558C2×C4—82no—
1559C2×C4—82no—
1560C2×C4—82no—
1561C2×C4—112no—
1562C2×C4—112no—
1563C2×C4—112no—
1564C2×C4—112no—
1565C2×C4—112no—
1566C2×C4—228no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
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—444no—
1602C2×C4—444no—
1603C2×C4—444no—
1604C2×C4—444no—
1605C2×C4—444no—
1606C2×C4—444no—
1607C2×C4—444no—
1608C2×C4—444no—
1609C2×C4—444no—
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—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—114no—
1641C22—222no—
1642C22—222no—
1643C22—222no—
1644C22—222no—
1645C22—222no—
1646C22—222no—
1647C22—222no—
1648C22—222no—
1649C22—222no—
1650C22—222no—
1651C22—222no—
1652C22—222no—
1653C22—4416no—
1654C22—441no—
1655C22—441no—
1656C22—441no—
1657C22—441no—
1658C22—441no—
1659C22—441no—
1660C22—441no—
1661C22—441no—
1662C22—888no—
1663C22#1062307614yes—
1664C22C23×C4×D1111yescharacteristic
1665C22C2×#6703711yescharacteristic
1666C22C2×#6703711yescharacteristic
1667C22C2×#6704211yescharacteristic
1668C22#1062345311yescharacteristic
1669C22D11×H(5,𝔽2)11yescharacteristic
1670C22D11×2−1+411yescharacteristic
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—42no—
1698C2—42no—
1699C2—224no—
1700C2—442no—
1701C2—442no—
1702C2C2×#1062307611yescharacteristic
1703C2D11×#52011yescharacteristic
1704C2C4×#6703711yescharacteristic
1705C2#1308276611yescharacteristic
1706C2#1308279311yescharacteristic
1707C2#1308281711yescharacteristic
1708C2#1308283211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2361C2
socle, cosocleC23×C11C25
prime radicalC2×#10623141C2
hypercenter#2361D11
hypocenterC11#34456
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2361

Complements

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

NH ≅ G/Ntype
2. #13071789C2semidirect
3. #13071769C2semidirect
4. #13071767C2semidirect
5. #13071761C2semidirect
6. #13071700C2semidirect
7. #13071614C2semidirect
8. #13071596C2semidirect
9. #13071593C2semidirect
10. #13071541C2semidirect
11. #13071522C2semidirect
12. #13071468C2semidirect
13. #13071464C2semidirect
14. #13071441C2semidirect
15. D4×(C2×D11)⋊C4C2semidirect
16. #13071423C2semidirect
17. #13071400C2semidirect
18. #13071350C2semidirect
19. #13071321C2semidirect
20. #13071314C2semidirect
21. #13071308C2semidirect
22. #13071281C2semidirect
23. #13071275C2semidirect
24. #13071246C2semidirect
25. #13071243C2semidirect
26. #13071227C2semidirect
27. #13071203C2semidirect
28. C4×#66990C2semidirect
29. D11×#386C2semidirect
30. C2×#10622602C2semidirect
31. C11×#2361C2semidirect
37. C2×C4×D4×C11C22semidirect
38. C2×C4×D4×C11C22semidirect
39. C22×C11×C4⋊C4C22semidirect
45. C2×D4×Dic11C22semidirect
48. C2×C4×C22⋊D11C22semidirect
52. C22×Dic11⋊C4C22semidirect
53. #10623141C4semidirect
56. C2×#66945C22semidirect
65. C2×#66930C22semidirect
66. C11×#390C22semidirect
67. C11×#389C22semidirect
68. C11×#388C22semidirect
69. C11×#388C22semidirect
71. C11×#386C22semidirect
72. C11×#385C22semidirect
73. C11×#385C22semidirect
74. C4×C11×C4⋊C4C22semidirect
75. C4×C11×C22⋊C4C22semidirect
77. #10622833C22semidirect
78. #10622833C22semidirect
79. #10622833C22semidirect
83. #10622826C22semidirect
84. #10622825C22semidirect
85. #10622823C22semidirect
86. #10622823C22semidirect
87. C4×C22⋊Dic11C22semidirect
88. C4×C22⋊Dic11C22semidirect
89. C2×C11⋊#95C22semidirect
90. C2×C11⋊#95C22semidirect
91. C2×C11⋊#95C22semidirect
92. #10622603C22semidirect
93. #10622603C22semidirect
99. #10622602C22semidirect
100. #10622602C22semidirect
101. #10622602C22semidirect
102. #10622602C22semidirect
103. #10622602C22semidirect
106. #10622600C22semidirect
107. #10622600C22semidirect
108. #10622594C22semidirect
109. #10622594C22semidirect
110. #10622591C22semidirect
111. #10622591C22semidirect
112. #10622590C22semidirect
113. C4⋊C4×Dic11C22semidirect
114. #10622587C22semidirect
115. #10622585C22semidirect
116. #10622585C22semidirect
120. #10622571C22semidirect
121. #10622571C22semidirect
122. #10622570C22semidirect
123. #10622570C22semidirect
124. #10622570C22semidirect
129. #10622569C22semidirect
132. #10622564C22semidirect
133. #10622564C22semidirect
134. #10622563C22semidirect
135. #10622563C22semidirect
136. #10622559C22semidirect
137. #10622559C22semidirect
138. #10622559C22semidirect
139. #10622558C22semidirect
140. #10622558C22semidirect
141. #10622558C22semidirect
142. #10622557C22semidirect
143. #10622556C22semidirect
144. #10622556C22semidirect
145. #10622555C22semidirect
146. #10622555C22semidirect
147. C22⋊C4×Dic11C22semidirect
148. #10622553C22semidirect
149. #10622553C22semidirect
150. #10622553C22semidirect
151. #10622553C22semidirect
157. C4×(C2×D11)⋊C4C22semidirect
158. C4×(C2×D11)⋊C4C22semidirect
159. #10622546C22semidirect
160. #10622546C22semidirect
161. #10622546C22semidirect
162. #10622546C22semidirect
163. #10622542C22semidirect
164. #10622283C22semidirect
165. #10622283C22semidirect
166. #10622283C22semidirect
167. #10622282C22semidirect
171. #10622280C22semidirect
172. #10622280C22semidirect
173. #10622280C22semidirect
177. #10622277C22semidirect
180. #10622268C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622263C22semidirect
184. #10622262C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
211. C2×#4341C2×C4semidirect
214. C2×D4×D11C2×C4semidirect
229. C11×#121C2×C4semidirect
266. #66992C2×C4semidirect
267. #66990C2×C4semidirect
268. #66990C2×C4semidirect
269. #66988C2×C4semidirect
274. C4×C22⋊D11C2×C4semidirect
277. C2×(C2×D11)⋊C4C2×C4semidirect
330. #66949C2×C4semidirect
331. #66947C2×C4semidirect
333. #66938C2×C4semidirect
334. #66937C2×C4semidirect
336. (C22⋊D11)⋊C4C2×C4semidirect
340. C22⋊C4×D11C2×C4semidirect
411. C2×D4×C11C22×C4semidirect
453. C2×C22⋊D11C22×C4semidirect
471. C22×Dic11C22×C4semidirect
516. C2×C4×D11C22×C4semidirect
517. C2×C4×D11C22×C4semidirect
520. C2×Dic22C22×C4semidirect
527. C11×C4⋊C4C22×C4semidirect
536. C11×C22⋊C4C22×C4semidirect
537. C11×C22⋊C4C22×C4semidirect
551. C22⋊Dic11C22×C4semidirect
552. C22⋊Dic11C22×C4semidirect
577. (C2×D11)⋊C4C22×C4semidirect
592. Dic11⋊C4C22×C4semidirect
593. Dic11⋊C4C22×C4semidirect
594. Dic11⋊C4C22×C4semidirect
603. C4×Dic11C22×C4semidirect
610. #2361D11semidirect
818. C2×C4×D4C2×D11semidirect
819. C2×C4×D4C2×D11semidirect
823. C22×C4⋊C4C2×D11semidirect
840. #390C2×D11semidirect
844. #389C2×D11semidirect
861. #388C2×D11semidirect
862. #388C2×D11semidirect
894. #386C2×D11semidirect
915. #385C2×D11semidirect
916. #385C2×D11semidirect
936. C4×C4⋊C4C2×D11semidirect
947. C4×C22⋊C4C2×D11semidirect
1076. #121C4×D11semidirect
1287. C2×D4C2×C4×D11semidirect
1397. C4⋊C4C2×C4×D11semidirect
1442. C22⋊C4C2×C4×D11semidirect
1443. C22⋊C4C2×C4×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×#106231412
#130717892
#130717692
#130717672
#130717612
#130717002
#130716142
#130715962
#130715932
#130715412
#130715222
#130714682
#130714642
#130714412
D4×(C2×D11)⋊C42
#130714232
#130714002
#130713502
#130713212
#130713142
#130713082
#130712812
#130712752
#130712462
#130712432
#130712272
#130712032
C4×#669902
D11×#3862
C2×#106226022
C11×#23612
#3445611