Finite Group Databasebeta

← C4×#10623151 #14916456

Subgroups — C4×#10623151 #14916456

Order 2816.

2568 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623151C211yesmaximal, characteristic
2#13071807C211yesmaximal, characteristic, complemented
3#13071803C211yesmaximal, characteristic, complemented
4#13071791C211yesmaximal, characteristic, complemented
5#13071774C211yesmaximal, characteristic, complemented
6#13071773C211yesmaximal, characteristic, complemented
7#13071770C211yesmaximal, characteristic, complemented
8#13071769C211yesmaximal, characteristic, complemented
9#13071768C211yesmaximal, characteristic, complemented
10#13071767C211yesmaximal, characteristic, complemented
11#13071762C211yesmaximal, characteristic, complemented
12#13071761C211yesmaximal, characteristic, complemented
13#13071760C211yesmaximal, characteristic, complemented
14#13071756C211yesmaximal, characteristic, complemented
15#13071754C211yesmaximal, characteristic, complemented
16#13071753C211yesmaximal, characteristic, complemented
17C4×#66993C211yesmaximal, characteristic, complemented
18C4×#66951C211yesmaximal, characteristic, complemented
19C4×#66932C211yesmaximal, characteristic, complemented
20C4×#66947C211yesmaximal, characteristic, complemented
21C4×#66939C211yesmaximal, characteristic, complemented
22C4×#66982C211yesmaximal, characteristic, complemented
23C4×#66983C211yesmaximal, characteristic, complemented
24C4×#66937C211yesmaximal, characteristic, complemented
25C4×#66992C211yesmaximal, characteristic, complemented
26C4×#66992C211yesmaximal, characteristic, complemented
27C4×#66991C211yesmaximal, characteristic, complemented
28C4×#66935C211yesmaximal, characteristic, complemented
29C4×#66990C211yesmaximal, characteristic, complemented
30C4×#66990C211yesmaximal, characteristic, complemented
31C4×C11×#121C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic, complemented
37C22×C42×C11C2211yescharacteristic, complemented
38C2×#66993C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×#66991C2211yescharacteristic
42C2×#66990C2211yescharacteristic
43C2×#66990C2211yescharacteristic
44C2×#66983C2211yescharacteristic
45C2×#66982C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C2×C4×C22⋊D11C2211yescharacteristic
49C2×C4×C22⋊D11C2211yescharacteristic
50C2×C4×C22⋊D11C2211yescharacteristic
51C2×C4×C22⋊D11C2211yescharacteristic, complemented
52C2×C4×C22⋊D11C2211yescharacteristic, complemented
53C22×C4×Dic11C2211yescharacteristic, complemented
54#10623151C4116yesdirect product factor
55C2×#66951C2211yescharacteristic
56C2×#66947C2211yescharacteristic
57C2×#66939C2211yescharacteristic
58C2×#66937C2211yescharacteristic
59C2×#66935C2211yescharacteristic
60C2×#66932C2211yescharacteristic
61C2×C4×D44C2211yescharacteristic
62C2×C4×D44C2211yescharacteristic
63C2×C42×D11C2211yescharacteristic, complemented
64C11×#390C2211yescharacteristic
65C11×#389C2211yescharacteristic, complemented
66C11×#388C2211yescharacteristic
67C11×#388C2211yescharacteristic, complemented
68C11×#386C2211yescharacteristic
69C11×#386C2211yescharacteristic, complemented
70C11×#380C2211yescharacteristic, complemented
71C4×C11×C4⋊C4C2211yescharacteristic, complemented
72C4×C11×C22⋊C4C2211yescharacteristic
73C4×C11×C22⋊C4C2211yescharacteristic, complemented
74#10622834C2211yescharacteristic
75#10622834C2211yescharacteristic, complemented
76#10622833C2211yescharacteristic
77#10622833C2211yescharacteristic
78#10622833C2211yescharacteristic
79#10622833C2211yescharacteristic, complemented
80#10622826C2211yescharacteristic
81#10622826C2211yescharacteristic
82#10622826C2211yescharacteristic, complemented
83#10622825C2211yescharacteristic, complemented
84#10622824C2211yescharacteristic, complemented
85#10622823C2211yescharacteristic, complemented
86C4×C22⋊Dic11C2211yescharacteristic
87C4×C22⋊Dic11C2211yescharacteristic
88C4×C22⋊Dic11C2211yescharacteristic, complemented
89#10622603C2211yescharacteristic
90#10622603C2211yescharacteristic
91#10622603C2211yescharacteristic
92#10622603C2211yescharacteristic, complemented
93#10622602C2211yescharacteristic
94#10622602C2211yescharacteristic
95#10622602C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622602C2211yescharacteristic, complemented
98#10622601C2211yescharacteristic
99#10622600C2211yescharacteristic, complemented
100#10622594C2211yescharacteristic, complemented
101#10622594C2211yescharacteristic, complemented
102#10622591C2211yescharacteristic, complemented
103#10622589C2211yescharacteristic, complemented
104#10622586C2211yescharacteristic, complemented
105#10622585C2211yescharacteristic, complemented
106#10622585C2211yescharacteristic, complemented
107#10622571C2211yescharacteristic
108#10622571C2211yescharacteristic
109#10622571C2211yescharacteristic
110#10622571C2211yescharacteristic, complemented
111#10622570C2211yescharacteristic
112#10622570C2211yescharacteristic
113#10622570C2211yescharacteristic
114#10622570C2211yescharacteristic
115#10622570C2211yescharacteristic
116#10622570C2211yescharacteristic, complemented
117#10622570C2211yescharacteristic, complemented
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622569C2211yescharacteristic
123#10622569C2211yescharacteristic, complemented
124#10622569C2211yescharacteristic, complemented
125#10622568C2211yescharacteristic
126#10622568C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622564C2211yescharacteristic
129#10622564C2211yescharacteristic, complemented
130#10622563C2211yescharacteristic
131#10622563C2211yescharacteristic, complemented
132#10622559C2211yescharacteristic
133#10622559C2211yescharacteristic
134#10622558C2211yescharacteristic
135#10622558C2211yescharacteristic
136#10622558C2211yescharacteristic, complemented
137#10622557C2211yescharacteristic
138#10622557C2211yescharacteristic
139#10622557C2211yescharacteristic, complemented
140#10622556C2211yescharacteristic, complemented
141#10622555C2211yescharacteristic, complemented
142#10622555C2211yescharacteristic, complemented
143#10622553C2211yescharacteristic
144#10622553C2211yescharacteristic
145#10622553C2211yescharacteristic
146#10622553C2211yescharacteristic, complemented
147#10622552C2211yescharacteristic
148C4×(C2×D11)⋊C4C2211yescharacteristic
149C4×(C2×D11)⋊C4C2211yescharacteristic
150C4×(C2×D11)⋊C4C2211yescharacteristic
151C4×(C2×D11)⋊C4C2211yescharacteristic
152C4×(C2×D11)⋊C4C2211yescharacteristic
153C4×(C2×D11)⋊C4C2211yescharacteristic
154C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
155C4×C4⋊Dic11C2211yescharacteristic, complemented
156C4×C4⋊Dic11C2211yescharacteristic, complemented
157#10622546C2211yescharacteristic, complemented
158#10622546C2211yescharacteristic, complemented
159C4×Dic11⋊C4C2211yescharacteristic, complemented
160C4×Dic11⋊C4C2211yescharacteristic, complemented
161C4×Dic11⋊C4C2211yescharacteristic, complemented
162C42×Dic11C2211yescharacteristic, complemented
163#10622541C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic
165#10622283C2211yescharacteristic
166#10622283C2211yescharacteristic
167#10622282C2211yescharacteristic
168#10622282C2211yescharacteristic
169#10622282C2211yescharacteristic
170#10622281C2211yescharacteristic
171#10622281C2211yescharacteristic
172#10622280C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622277C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622264C2211yescharacteristic, complemented
186#10622264C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×C4×D11—42no—
210C22×C4×D11—42no—
211C22×C4×D11—42no—
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C11×#121C2×C418yescomplemented
220C4×D4×C11—42no—
221C4×D4×C11—42no—
222C4×D4×C11—42no—
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C42×C11—42no—
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258#66993C2×C418yescomplemented
259#66992C2×C418yescomplemented
260#66992C2×C418yescomplemented
261#66991C2×C418yescomplemented
262#66990C2×C418yescomplemented
263#66990C2×C418yescomplemented
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⋊D11—42no—
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
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×Dic11—42no—
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
330C2×C4×Dic11C2311yescharacteristic
331#66951C2×C418yescomplemented
332#66947C2×C418yescomplemented
333#66939C2×C418yescomplemented
334#66937C2×C418yescomplemented
335#66935C2×C418yescomplemented
336#66932C2×C418yescomplemented
337C4×D44—42no—
338C4×D44—42no—
339C42×D11—42no—
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
376C4×#560—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C23×D11—41no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11C22×C414yes—
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C2×D4×C11—41no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11—41no—
396C2×D4×C11C22×C414yes—
397C2×D4×C11C22×C414yes—
398C2×D4×C11C22×C414yescomplemented
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11C22×C414yescomplemented
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11C22×C414yes—
441C2×C22⋊D11C22×C414yes—
442C2×C22⋊D11C22×C414yes—
443C2×C22⋊D11C22×C414yes—
444C2×C22⋊D11C22×C414yes—
445C2×C22⋊D11C22×C414yescomplemented
446C2×C22⋊D11C22×C414yescomplemented
447C22×Dic11—41no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11C22×C414yescomplemented
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C2×D44—41no—
470C2×D44—41no—
471C2×D44—41no—
472C2×D44—41no—
473C2×D44C22×C414yes—
474C2×D44C22×C414yes—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—416no—
496C2×C4×D11C22×C414yescomplemented
497C11×C4⋊C4—41no—
498C11×C4⋊C4—41no—
499C11×C4⋊C4—41no—
500C11×C4⋊C4—41no—
501C11×C4⋊C4C22×C414yescomplemented
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C11×C22⋊C4—41no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4C22×C414yes—
511C11×C22⋊C4C22×C414yescomplemented
512C42×C11—22no—
513C42×C11—22no—
514C42×C11—22no—
515C42×C11—22no—
516C42×C11—41no—
517C42×C11—41no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521C22⋊Dic11—41no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
528C22⋊Dic11C22×C414yes—
529C22⋊Dic11C22×C414yes—
530C22⋊Dic11C22×C414yescomplemented
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4C22×C414yes—
550(C2×D11)⋊C4C22×C414yes—
551(C2×D11)⋊C4C22×C414yes—
552(C2×D11)⋊C4C22×C414yes—
553(C2×D11)⋊C4C22×C414yes—
554(C2×D11)⋊C4C22×C414yes—
555(C2×D11)⋊C4C22×C414yescomplemented
556C4⋊Dic11—41no—
557C4⋊Dic11—41no—
558C4⋊Dic11—41no—
559C4⋊Dic11—41no—
560C4⋊Dic11C22×C414yescomplemented
561C4⋊Dic11C22×C414yescomplemented
562Dic11⋊C4—41no—
563Dic11⋊C4—41no—
564Dic11⋊C4—41no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569Dic11⋊C4—41no—
570Dic11⋊C4—41no—
571Dic11⋊C4—41no—
572Dic11⋊C4C22×C414yescomplemented
573Dic11⋊C4C22×C414yescomplemented
574Dic11⋊C4C22×C414yescomplemented
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—22no—
578C4×Dic11—22no—
579C4×Dic11—22no—
580C4×Dic11—41no—
581C4×Dic11—41no—
582C4×Dic11—41no—
583C4×Dic11—41no—
584C4×Dic11—41no—
585C4×Dic11—41no—
586C4×Dic11—41no—
587C4×Dic11C22×C414yescomplemented
588C2×#560—111no—
589#2383—111no—
590#2383—111no—
591#2380—111no—
592#2377—111no—
593#2377—111no—
594#2377—111no—
595#2377—111no—
596#2377—111no—
597#2377—111no—
598#2376—111no—
599#2376—111no—
600#2376—111no—
601#2375—111no—
602#2375—111no—
603#2375—111no—
604C4×#127—111no—
605C4×#126—111no—
606C4×#126—111no—
607C4×#123—111no—
608C4×#123—111no—
609C4×#123—111no—
610C4×#121—111no—
611C4×#121—111no—
612C4×#121—111no—
613C4×#121—111no—
614C4×#121—111no—
615C4×#121D1111yescharacteristic, complemented
616C4×#120—111no—
617C4×#120—111no—
618C4×#120—111no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11C23×C412yes—
638C23×C11C23×C412yes—
639C23×C11C23×C412yes—
640C23×C11C2511yescharacteristic
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—44no—
660C22×D11—44no—
661C22×D11—44no—
662C22×D11—44no—
663C22×D11—44no—
664C22×D11—44no—
665C22×D11—44no—
666C22×D11C23×C412yes—
667C22×D11C23×C412yes—
668C22×D11C23×C412yes—
669D4×C11—44no—
670D4×C11—44no—
671D4×C11—44no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
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—44no—
702C2×C4×C11—44no—
703C2×C4×C11—44no—
704C2×C4×C11—44no—
705C2×C4×C11—44no—
706C2×C4×C11C23×C412yes—
707C2×C4×C11C23×C412yes—
708C2×C4×C11C23×C412yes—
709C2×C4×C11C23×C412yes—
710C2×C4×C11H(5,𝔽2)12yes—
711C2×C4×C11H(5,𝔽2)12yes—
712C2×C4×C11H(5,𝔽2)12yes—
713C22⋊D11—44no—
714C22⋊D11—44no—
715C22⋊D11—44no—
716C22⋊D11—44no—
717C22⋊D11—44no—
718C22⋊D11—44no—
719C22⋊D11—44no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
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—44no—
755C2×Dic11—44no—
756C2×Dic11—44no—
757C2×Dic11C23×C412yes—
758C2×Dic11C23×C412yes—
759C2×Dic11C23×C412yes—
760C2×Dic11C23×C412yes—
761C2×Dic11C23×C412yes—
762D44—44no—
763D44—44no—
764C4×D11—44no—
765C4×D11—44no—
766C4×D11—44no—
767C4×D11—44no—
768C4×D11—44no—
769C4×D11—44no—
770C4×D11—44no—
771C24×C4—111no—
772#560—1116no—
773C2×#127—111no—
774C2×#126—111no—
775C2×#126—111no—
776C2×#123—111no—
777C2×#123—111no—
778C2×#123—111no—
779C2×#121—111no—
780C2×#121—111no—
781C2×#121—111no—
782C2×#121—111no—
783C2×#121—111no—
784C2×#121C2×D1111yescharacteristic
785C2×#120—111no—
786C2×#120—111no—
787C2×#120—111no—
788C2×C4×D4—111no—
789C2×C4×D4—111no—
790C2×C4×D4—111no—
791C2×C4×D4—111no—
792C2×C4×D4—111no—
793C2×C4×D4—111no—
794C2×C4×D4—111no—
795C2×C4×D4—111no—
796C2×C4×D4—111no—
797C2×C4×D4C2×D1111yescharacteristic
798C2×C4×D4C2×D1111yescharacteristic
799C2×C4×D4C2×D1111yescharacteristic, complemented
800C22×C42—111no—
801C22×C42—111no—
802C22×C42C2×D1111yescharacteristic, complemented
803#390—111no—
804#390—111no—
805#390—111no—
806#390—111no—
807#390—111no—
808#390—111no—
809#390—111no—
810#390—111no—
811#390—111no—
812#390—111no—
813#390—111no—
814#390C2×D1111yescharacteristic
815#389—111no—
816#389—111no—
817#389—111no—
818#389—111no—
819#389—111no—
820#389C2×D1111yescharacteristic, complemented
821#388—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388—111no—
843#388C2×D1111yescharacteristic
844#388C2×D1111yescharacteristic, complemented
845#387—111no—
846#387—111no—
847#387—111no—
848#387—111no—
849#387—111no—
850#387—111no—
851#387—111no—
852#387—111no—
853#387—111no—
854#387—111no—
855#387—111no—
856#387—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386—111no—
863#386—111no—
864#386—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386—111no—
878#386—111no—
879#386C2×D1111yescharacteristic
880#386C2×D1111yescharacteristic, complemented
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385—111no—
886#385—111no—
887#385—111no—
888#385—111no—
889#385—111no—
890#385—111no—
891#385—111no—
892#385—111no—
893#384—111no—
894#383—111no—
895#383—111no—
896#381—111no—
897#381—111no—
898#381—111no—
899#380—111no—
900#380—111no—
901#380—111no—
902#380—111no—
903#380—111no—
904#380C2×D1111yescharacteristic, complemented
905#379—111no—
906#379—111no—
907#379—111no—
908C4×C4⋊C4—111no—
909C4×C4⋊C4—111no—
910C4×C4⋊C4—111no—
911C4×C4⋊C4—111no—
912C4×C4⋊C4—111no—
913C4×C4⋊C4C2×D1111yescharacteristic, complemented
914C4×C22⋊C4—111no—
915C4×C22⋊C4—111no—
916C4×C22⋊C4—111no—
917C4×C22⋊C4—111no—
918C4×C22⋊C4—111no—
919C4×C22⋊C4—111no—
920C4×C22⋊C4—111no—
921C4×C22⋊C4—111no—
922C4×C22⋊C4—111no—
923C4×C22⋊C4—111no—
924C4×C22⋊C4C2×D1111yescharacteristic
925C4×C22⋊C4C2×D1111yescharacteristic, complemented
926C43—111no—
927C22×C11—22no—
928C22×C11—22no—
929C22×C11—22no—
930C22×C11—22no—
931C22×C11—22no—
932C22×C11—22no—
933C22×C11—22no—
934C22×C11—22no—
935C22×C11—22no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11C24×C411yescharacteristic
949C22×C11C2×H(5,𝔽2)11yescharacteristic
950C22×C11C2×H(5,𝔽2)11yescharacteristic
951C22×C11C2×H(5,𝔽2)11yescharacteristic
952C22×C11#58511yescharacteristic
953C22×C11#58511yescharacteristic
954C22×C11#58511yescharacteristic
955C2×D11—22no—
956C2×D11—22no—
957C2×D11—22no—
958C2×D11—22no—
959C2×D11—22no—
960C2×D11—22no—
961C2×D11—22no—
962C2×D11—22no—
963C2×D11—22no—
964C2×D11—416no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—41no—
968C2×D11—41no—
969C2×D11—41no—
970C2×D11—41no—
971C2×D11—41no—
972C2×D11—41no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—41no—
976C2×D11—41no—
977C4×C11—22no—
978C4×C11—22no—
979C4×C11—22no—
980C4×C11—22no—
981C4×C11—41no—
982C4×C11—41no—
983C4×C11—41no—
984C4×C11—41no—
985C4×C11—41no—
986C4×C11—41no—
987C4×C11—41no—
988C4×C11#56014yescomplemented
989Dic11—22no—
990Dic11—22no—
991Dic11—22no—
992Dic11—22no—
993Dic11—22no—
994Dic11—41no—
995Dic11—41no—
996Dic11—41no—
997Dic11—41no—
998Dic11—41no—
999Dic11—41no—
1000Dic11—41no—
1001Dic11—41no—
1002C25—111no—
1003C22×D4—111no—
1004C22×D4—111no—
1005C22×D4—111no—
1006C22×D4—111no—
1007C22×D4—111no—
1008C22×D4—111no—
1009C22×D4—111no—
1010C22×D4—111no—
1011C22×D4—111no—
1012C22×D4C22×D1111yescharacteristic
1013C22×D4C22×D1111yescharacteristic
1014C22×D4C22×D1111yescharacteristic
1015C23×C4—111no—
1016C23×C4—111no—
1017C23×C4—111no—
1018C23×C4—111no—
1019C23×C4—111no—
1020C23×C4—111no—
1021C23×C4—111no—
1022C23×C4—111no—
1023C23×C4—111no—
1024C23×C4—111no—
1025C23×C4—442no—
1026C23×C4—442no—
1027C23×C4—442no—
1028C23×C4C22×D1111yescharacteristic
1029C23×C4C22×D1111yescharacteristic
1030C23×C4C22×D1111yescharacteristic
1031C23×C4C22×D1111yescharacteristic
1032C23×C4C22×D1111yescharacteristic
1033#127—118no—
1034#126—118no—
1035#126—118no—
1036#123—118no—
1037#123—118no—
1038#123—118no—
1039#121—118no—
1040#121—118no—
1041#121—118no—
1042#121—118no—
1043#121—118no—
1044#121C4×D1118yescomplemented
1045#120—118no—
1046#120—118no—
1047#120—118no—
1048C4×D4—42no—
1049C4×D4—42no—
1050C4×D4—42no—
1051C4×D4—442no—
1052C4×D4—442no—
1053C4×D4—442no—
1054C4×D4—442no—
1055C4×D4—442no—
1056C4×D4—442no—
1057C4×D4—442no—
1058C4×D4—442no—
1059C4×D4—442no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4C22×D1111yescharacteristic
1080C2×C4⋊C4C22×D1111yescharacteristic
1081C2×C4⋊C4C22×D1111yescharacteristic
1082C2×C4⋊C4C22×D1111yescharacteristic
1083C2×C4⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4C22×D1111yescharacteristic
1123C2×C22⋊C4C22×D1111yescharacteristic
1124C2×C22⋊C4C22×D1111yescharacteristic
1125C2×C22⋊C4C22×D1111yescharacteristic
1126C2×C22⋊C4C22×D1111yescharacteristic
1127C2×C22⋊C4C22×D1111yescharacteristic
1128C2×C22⋊C4C22×D1111yescharacteristic
1129C2×C22⋊C4C22×D1111yescharacteristic
1130C2×C22⋊C4C22×D1111yescharacteristic
1131C2×C22⋊C4C22×D1111yescharacteristic
1132C2×C42—42no—
1133C2×C42—111no—
1134C2×C42—111no—
1135C2×C42—111no—
1136C2×C42—111no—
1137C2×C42—111no—
1138C2×C42—111no—
1139C2×C42—111no—
1140C2×C42—111no—
1141C2×C42—111no—
1142C2×C42—111no—
1143C2×C42—111no—
1144C2×C42—111no—
1145C2×C42—111no—
1146C2×C42—442no—
1147C2×C42—442no—
1148C2×C42C22×D1111yescharacteristic
1149C2×C42C22×D1111yescharacteristic
1150C2×C42C22×D1111yescharacteristic
1151C2×C42C22×D1111yescharacteristic
1152C2×C42C22×D1111yescharacteristic
1153C2×C42C22×D1111yescharacteristic
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95C22×D1111yescharacteristic
1185#95C22×D1111yescharacteristic
1186#95C22×D1111yescharacteristic
1187#95C22×D1111yescharacteristic
1188#95C22×D1111yescharacteristic
1189#95C22×D1111yescharacteristic
1190C2×C11—42no—
1191C2×C11—42no—
1192C2×C11—42no—
1193C2×C11C4×H(5,𝔽2)11yescharacteristic
1194C2×C11C4×H(5,𝔽2)11yescharacteristic
1195C2×C11C4×H(5,𝔽2)11yescharacteristic
1196C2×C11C2×#56011yescharacteristic
1197C2×C11#352911yescharacteristic
1198C2×C11#352911yescharacteristic
1199C2×C11#352911yescharacteristic
1200D11—42no—
1201D11—42no—
1202D11—42no—
1203C24—111no—
1204C24—111no—
1205C24—111no—
1206C24—114no—
1207C24—441no—
1208C24—441no—
1209C24—441no—
1210C24—441no—
1211C24—441no—
1212C24—441no—
1213C24C23×D1111yescharacteristic
1214C24C23×D1111yescharacteristic
1215C24C23×D1111yescharacteristic
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—114no—
1223C2×D4—114no—
1224C2×D4—114no—
1225C2×D4—114no—
1226C2×D4—114no—
1227C2×D4—114no—
1228C2×D4—114no—
1229C2×D4—114no—
1230C2×D4—114no—
1231C2×D4—441no—
1232C2×D4—441no—
1233C2×D4—441no—
1234C2×D4—441no—
1235C2×D4—441no—
1236C2×D4—441no—
1237C2×D4—441no—
1238C2×D4—441no—
1239C2×D4—441no—
1240C2×D4—441no—
1241C2×D4—441no—
1242C2×D4—441no—
1243C2×D4—441no—
1244C2×D4—441no—
1245C2×D4—441no—
1246C2×D4—441no—
1247C2×D4—441no—
1248C2×D4—441no—
1249C2×D4C2×C4×D1114yes—
1250C2×D4C2×C4×D1114yes—
1251C2×D4C2×C4×D1114yescomplemented
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—111no—
1267C22×C4—111no—
1268C22×C4—111no—
1269C22×C4—111no—
1270C22×C4—111no—
1271C22×C4—114no—
1272C22×C4—114no—
1273C22×C4—111no—
1274C22×C4—111no—
1275C22×C4—111no—
1276C22×C4—111no—
1277C22×C4—111no—
1278C22×C4—111no—
1279C22×C4—111no—
1280C22×C4—111no—
1281C22×C4—222no—
1282C22×C4—222no—
1283C22×C4—222no—
1284C22×C4—222no—
1285C22×C4—222no—
1286C22×C4—222no—
1287C22×C4—222no—
1288C22×C4—222no—
1289C22×C4—222no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4—441no—
1293C22×C4—441no—
1294C22×C4—441no—
1295C22×C4—441no—
1296C22×C4—441no—
1297C22×C4—441no—
1298C22×C4—441no—
1299C22×C4—441no—
1300C22×C4—441no—
1301C22×C4—4416no—
1302C22×C4—441no—
1303C22×C4—441no—
1304C22×C4—441no—
1305C22×C4—441no—
1306C22×C4—441no—
1307C22×C4—441no—
1308C22×C4—441no—
1309C22×C4—441no—
1310C22×C4C2×C4×D1114yescomplemented
1311C22×C4C23×D1111yescharacteristic
1312C22×C4C23×D1111yescharacteristic
1313C22×C4C23×D1111yescharacteristic
1314C22×C4C23×D1111yescharacteristic
1315C22×C4C23×D1111yescharacteristic
1316C22×C4C23×D1111yescharacteristic
1317C22×C4C23×D1111yescharacteristic
1318C22×C4C23×D1111yescharacteristic
1319C22×C4C23×D1111yescharacteristic
1320C22×C4C23×D1111yescharacteristic
1321C22×C4C23×D1111yescharacteristic
1322C22×C4C23×D1111yescharacteristic
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—114no—
1328C4⋊C4—114no—
1329C4⋊C4—114no—
1330C4⋊C4—114no—
1331C4⋊C4—114no—
1332C4⋊C4—441no—
1333C4⋊C4—441no—
1334C4⋊C4—441no—
1335C4⋊C4—441no—
1336C4⋊C4—441no—
1337C4⋊C4—441no—
1338C4⋊C4—441no—
1339C4⋊C4—441no—
1340C4⋊C4—441no—
1341C4⋊C4—441no—
1342C4⋊C4—441no—
1343C4⋊C4—441no—
1344C4⋊C4—441no—
1345C4⋊C4—441no—
1346C4⋊C4C2×C4×D1114yescomplemented
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—114no—
1356C22⋊C4—114no—
1357C22⋊C4—114no—
1358C22⋊C4—114no—
1359C22⋊C4—114no—
1360C22⋊C4—114no—
1361C22⋊C4—114no—
1362C22⋊C4—114no—
1363C22⋊C4—114no—
1364C22⋊C4—114no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C22⋊C4—441no—
1381C22⋊C4—441no—
1382C22⋊C4—441no—
1383C22⋊C4—441no—
1384C22⋊C4—441no—
1385C22⋊C4—441no—
1386C22⋊C4—441no—
1387C22⋊C4—441no—
1388C22⋊C4—441no—
1389C22⋊C4—441no—
1390C22⋊C4—441no—
1391C22⋊C4—441no—
1392C22⋊C4—441no—
1393C22⋊C4C2×C4×D1114yes—
1394C22⋊C4C2×C4×D1114yescomplemented
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—41no—
1400C42—41no—
1401C42—114no—
1402C42—222no—
1403C42—222no—
1404C42—222no—
1405C42—222no—
1406C42—222no—
1407C42—441no—
1408C42—441no—
1409C42—441no—
1410C42—441no—
1411C42—441no—
1412C42—441no—
1413C42—441no—
1414C11C4×#56011yescharacteristic, complemented, Sylow
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—112no—
1434C23—112no—
1435C23—112no—
1436C23—221no—
1437C23—221no—
1438C23—221no—
1439C23—221no—
1440C23—221no—
1441C23—221no—
1442C23—221no—
1443C23—221no—
1444C23—221no—
1445C23—221no—
1446C23—221no—
1447C23—221no—
1448C23—221no—
1449C23—221no—
1450C23—221no—
1451C23—221no—
1452C23—221no—
1453C23—221no—
1454C23—444no—
1455C23—444no—
1456C23—444no—
1457C23—444no—
1458C23—444no—
1459C23—444no—
1460C23—444no—
1461C23C22×C4×D1112yes—
1462C23C22×C4×D1112yes—
1463C23C22×C4×D1112yes—
1464C23C24×D1111yescharacteristic
1465D4—44no—
1466D4—44no—
1467D4—44no—
1468D4—444no—
1469D4—444no—
1470D4—444no—
1471D4—444no—
1472D4—444no—
1473D4—444no—
1474D4—444no—
1475D4—444no—
1476D4—444no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—112no—
1512C2×C4—112no—
1513C2×C4—112no—
1514C2×C4—112no—
1515C2×C4—112no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—444no—
1551C2×C4—444no—
1552C2×C4—444no—
1553C2×C4—444no—
1554C2×C4—444no—
1555C2×C4—444no—
1556C2×C4—444no—
1557C2×C4—444no—
1558C2×C4—444no—
1559C2×C4—444no—
1560C2×C4C22×C4×D1112yes—
1561C2×C4C22×C4×D1112yes—
1562C2×C4C22×C4×D1112yes—
1563C2×C4C22×C4×D1112yes—
1564C2×C4#6703712yes—
1565C2×C4#6703712yes—
1566C2×C4#6704212yes—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—222no—
1589C22—222no—
1590C22—222no—
1591C22—222no—
1592C22—222no—
1593C22—222no—
1594C22—222no—
1595C22—222no—
1596C22—222no—
1597C22—4416no—
1598C22—441no—
1599C22—441no—
1600C22—441no—
1601C22—441no—
1602C22—441no—
1603C22—441no—
1604C22—441no—
1605C22—441no—
1606C22—441no—
1607C22—441no—
1608C22—441no—
1609C22—441no—
1610C22C23×C4×D1111yescharacteristic
1611C22C2×#6703711yescharacteristic
1612C22C2×#6703711yescharacteristic
1613C22C2×#6704211yescharacteristic
1614C22#1062345311yescharacteristic
1615C22#1062345311yescharacteristic
1616C22#1062345311yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—222no—
1629C4—222no—
1630C4—222no—
1631C4—222no—
1632C4—222no—
1633C4—441no—
1634C4—441no—
1635C4—441no—
1636C4—441no—
1637C4—441no—
1638C4—441no—
1639C4—441no—
1640C4—441no—
1641C4#1062315114yesdirect product factor
1642C2—42no—
1643C2—42no—
1644C2—42no—
1645C2—442no—
1646C2—442no—
1647C2—442no—
1648C2C4×#6703711yescharacteristic
1649C2C4×#6703711yescharacteristic
1650C2C4×#6704211yescharacteristic
1651C2C2×#1062315111yescharacteristic
1652C2#1308275211yescharacteristic
1653C2#1308275411yescharacteristic
1654C2#1308275511yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC4×C11×#121C2
socle, cosocleC23×C11C25
prime radicalC2×#10623151C2
hypercenterC4×#121D11
hypocenterC11C4×#560
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
2. #13071807C2semidirect
3. #13071803C2semidirect
4. #13071791C2semidirect
5. #13071774C2semidirect
6. #13071773C2semidirect
7. #13071770C2semidirect
8. #13071769C2semidirect
9. #13071768C2semidirect
10. #13071767C2semidirect
11. #13071762C2semidirect
12. #13071761C2semidirect
13. #13071760C2semidirect
14. #13071756C2semidirect
15. #13071754C2semidirect
16. #13071753C2semidirect
17. C4×#66993C2semidirect
18. C4×#66951C2semidirect
19. C4×#66932C2semidirect
20. C4×#66947C2semidirect
21. C4×#66939C2semidirect
22. C4×#66982C2semidirect
23. C4×#66983C2semidirect
24. C4×#66937C2semidirect
25. C4×#66992C2semidirect
26. C4×#66992C2semidirect
27. C4×#66991C2semidirect
28. C4×#66935C2semidirect
29. C4×#66990C2semidirect
30. C4×#66990C2semidirect
31. C4×C11×#121C2semidirect
36. C2×C4×D4×C11C22semidirect
37. C22×C42×C11C22semidirect
51. C2×C4×C22⋊D11C22semidirect
52. C2×C4×C22⋊D11C22semidirect
53. C22×C4×Dic11C22semidirect
54. #10623151C4direct (N × H)
63. C2×C42×D11C22semidirect
65. C11×#389C22semidirect
67. C11×#388C22semidirect
69. C11×#386C22semidirect
70. C11×#380C22semidirect
71. C4×C11×C4⋊C4C22semidirect
73. C4×C11×C22⋊C4C22semidirect
75. #10622834C22semidirect
79. #10622833C22semidirect
82. #10622826C22semidirect
83. #10622825C22semidirect
84. #10622824C22semidirect
85. #10622823C22semidirect
88. C4×C22⋊Dic11C22semidirect
92. #10622603C22semidirect
97. #10622602C22semidirect
99. #10622600C22semidirect
100. #10622594C22semidirect
101. #10622594C22semidirect
102. #10622591C22semidirect
103. #10622589C22semidirect
104. #10622586C22semidirect
105. #10622585C22semidirect
106. #10622585C22semidirect
110. #10622571C22semidirect
116. #10622570C22semidirect
117. #10622570C22semidirect
123. #10622569C22semidirect
124. #10622569C22semidirect
129. #10622564C22semidirect
131. #10622563C22semidirect
136. #10622558C22semidirect
139. #10622557C22semidirect
140. #10622556C22semidirect
141. #10622555C22semidirect
142. #10622555C22semidirect
146. #10622553C22semidirect
154. C4×(C2×D11)⋊C4C22semidirect
155. C4×C4⋊Dic11C22semidirect
156. C4×C4⋊Dic11C22semidirect
157. #10622546C22semidirect
158. #10622546C22semidirect
159. C4×Dic11⋊C4C22semidirect
160. C4×Dic11⋊C4C22semidirect
161. C4×Dic11⋊C4C22semidirect
162. C42×Dic11C22semidirect
163. #10622541C22semidirect
172. #10622280C22semidirect
177. #10622277C22semidirect
178. #10622268C22semidirect
179. #10622268C22semidirect
180. #10622267C22semidirect
181. #10622266C22semidirect
182. #10622266C22semidirect
183. #10622266C22semidirect
184. #10622265C22semidirect
185. #10622264C22semidirect
186. #10622264C22semidirect
187. #10622260C22semidirect
219. C11×#121C2×C4semidirect
258. #66993C2×C4semidirect
259. #66992C2×C4semidirect
260. #66992C2×C4semidirect
261. #66991C2×C4semidirect
262. #66990C2×C4semidirect
263. #66990C2×C4semidirect
264. #66983C2×C4semidirect
265. #66982C2×C4semidirect
331. #66951C2×C4semidirect
332. #66947C2×C4semidirect
333. #66939C2×C4semidirect
334. #66937C2×C4semidirect
335. #66935C2×C4semidirect
336. #66932C2×C4semidirect
398. C2×D4×C11C22×C4semidirect
413. C22×C4×C11C22×C4semidirect
445. C2×C22⋊D11C22×C4semidirect
446. C2×C22⋊D11C22×C4semidirect
455. C22×Dic11C22×C4semidirect
496. C2×C4×D11C22×C4semidirect
501. C11×C4⋊C4C22×C4semidirect
511. C11×C22⋊C4C22×C4semidirect
530. C22⋊Dic11C22×C4semidirect
555. (C2×D11)⋊C4C22×C4semidirect
560. C4⋊Dic11C22×C4semidirect
561. C4⋊Dic11C22×C4semidirect
572. Dic11⋊C4C22×C4semidirect
573. Dic11⋊C4C22×C4semidirect
574. Dic11⋊C4C22×C4semidirect
587. C4×Dic11C22×C4semidirect
615. C4×#121D11semidirect
799. C2×C4×D4C2×D11semidirect
802. C22×C42C2×D11semidirect
820. #389C2×D11semidirect
844. #388C2×D11semidirect
880. #386C2×D11semidirect
904. #380C2×D11semidirect
913. C4×C4⋊C4C2×D11semidirect
925. C4×C22⋊C4C2×D11semidirect
988. C4×C11#560semidirect
1044. #121C4×D11semidirect
1251. C2×D4C2×C4×D11semidirect
1310. C22×C4C2×C4×D11semidirect
1346. C4⋊C4C2×C4×D11semidirect
1394. C22⋊C4C2×C4×D11semidirect
1414. C11C4×#560semidirect
1641. C4#10623151direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106231512
#130718072
#130718032
#130717912
#130717742
#130717732
#130717702
#130717692
#130717682
#130717672
#130717622
#130717612
#130717602
#130717562
#130717542
#130717532
C4×#669932
C4×#669512
C4×#669322
C4×#669472
C4×#669392
C4×#669822
C4×#669832
C4×#669372
C4×#669922
C4×#669912
C4×#669352
C4×#669902
C4×C11×#1212
C4×#56011