Finite Group Databasebeta

← #14918312

Subgroups — #14918312

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#13071774C211yesmaximal, characteristic, complemented
4#13071759C211yesmaximal, characteristic, complemented
5#13071693C211yesmaximal, characteristic, complemented
6#13071629C211yesmaximal, characteristic, complemented
7#13071601C211yesmaximal, characteristic, complemented
8#13071599C211yesmaximal, characteristic, complemented
9#13071597C211yesmaximal, characteristic, complemented
10#13071538C211yesmaximal, characteristic, complemented
11#13071522C211yesmaximal, characteristic, complemented
12#13071460C211yesmaximal, characteristic, complemented
13#13071458C211yesmaximal, characteristic, complemented
14#13071442C211yesmaximal, characteristic, complemented
15#13071437C211yesmaximal, characteristic, complemented
16#13071423C211yesmaximal, characteristic, complemented
17#13071403C211yesmaximal, characteristic, complemented
18#13071343C211yesmaximal, characteristic, complemented
19#13071317C211yesmaximal, characteristic, complemented
20#13071313C211yesmaximal, characteristic, complemented
21#13071311C211yesmaximal, characteristic, complemented
22#13071289C211yesmaximal, characteristic, complemented
23#13071272C211yesmaximal, characteristic, complemented
24#13071246C211yesmaximal, characteristic, complemented
25#13071245C211yesmaximal, characteristic, complemented
26#13071229C211yesmaximal, characteristic, complemented
27#13071206C211yesmaximal, characteristic, complemented
28#13071121C211yesmaximal, characteristic, complemented
29D11×#386C211yesmaximal, characteristic, complemented
30D11×#385C211yesmaximal, characteristic, complemented
31C11×#2377C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×#66988C2211yescharacteristic
40C2×D4×Dic11C2211yescharacteristic, complemented
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic, complemented
44C22×(C2×D11)⋊C4C2211yescharacteristic
45C2×#66979C2211yescharacteristic, complemented
46#10623141C4116yescomplemented
47C2×#66949C2211yescharacteristic
48C2×#66947C2211yescharacteristic
49C2×#66946C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic, complemented
51C2×C4⋊C4×D11C2211yescharacteristic, complemented
52C2×#66938C2211yescharacteristic
53C2×#66937C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
57C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×C22⋊C4×D11C2211yescharacteristic
61C2×C22⋊C4×D11C2211yescharacteristic
62C2×C22⋊C4×D11C2211yescharacteristic
63C2×C22⋊C4×D11C2211yescharacteristic
64C2×C4×D44C2211yescharacteristic
65C2×#66925C2211yescharacteristic, complemented
66C11×#390C2211yescharacteristic
67C11×#390C2211yescharacteristic, complemented
68C11×#388C2211yescharacteristic, complemented
69C11×#388C2211yescharacteristic, complemented
70C11×#387C2211yescharacteristic, complemented
71C11×#387C2211yescharacteristic, complemented
72C11×#386C2211yescharacteristic
73C11×#386C2211yescharacteristic, complemented
74C11×#386C2211yescharacteristic, complemented
75C11×#386C2211yescharacteristic, complemented
76C11×#385C2211yescharacteristic, complemented
77C11×#385C2211yescharacteristic, complemented
78C11×#381C2211yescharacteristic, complemented
79C11×#380C2211yescharacteristic, complemented
80#10622834C2211yescharacteristic
81#10622834C2211yescharacteristic, complemented
82#10622834C2211yescharacteristic, complemented
83#10622833C2211yescharacteristic
84#10622833C2211yescharacteristic, complemented
85#10622826C2211yescharacteristic
86#10622826C2211yescharacteristic, complemented
87#10622825C2211yescharacteristic, complemented
88#10622823C2211yescharacteristic, complemented
89#10622823C2211yescharacteristic, complemented
90C2×C11⋊#95C2211yescharacteristic, complemented
91#10622602C2211yescharacteristic
92#10622602C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622602C2211yescharacteristic, complemented
95#10622602C2211yescharacteristic, complemented
96#10622602C2211yescharacteristic, complemented
97#10622600C2211yescharacteristic
98#10622600C2211yescharacteristic, complemented
99#10622598C2211yescharacteristic, complemented
100#10622591C2211yescharacteristic, complemented
101#10622590C2211yescharacteristic, complemented
102C4⋊C4×Dic11C2211yescharacteristic, complemented
103C4⋊C4×Dic11C2211yescharacteristic, complemented
104#10622587C2211yescharacteristic, complemented
105#10622585C2211yescharacteristic, complemented
106#10622571C2211yescharacteristic
107#10622570C2211yescharacteristic, complemented
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic, complemented
117#10622569C2211yescharacteristic, complemented
118#10622569C2211yescharacteristic, complemented
119#10622568C2211yescharacteristic
120#10622568C2211yescharacteristic
121#10622564C2211yescharacteristic, complemented
122#10622564C2211yescharacteristic, complemented
123#10622563C2211yescharacteristic, complemented
124#10622563C2211yescharacteristic, complemented
125#10622559C2211yescharacteristic, complemented
126#10622558C2211yescharacteristic, complemented
127#10622558C2211yescharacteristic, complemented
128#10622558C2211yescharacteristic, complemented
129#10622557C2211yescharacteristic, complemented
130#10622557C2211yescharacteristic, complemented
131#10622557C2211yescharacteristic, complemented
132#10622557C2211yescharacteristic, complemented
133#10622557C2211yescharacteristic, complemented
134#10622556C2211yescharacteristic, complemented
135#10622555C2211yescharacteristic, complemented
136#10622555C2211yescharacteristic, complemented
137#10622555C2211yescharacteristic, complemented
138#10622555C2211yescharacteristic, complemented
139#10622555C2211yescharacteristic, complemented
140C22⋊C4×Dic11C2211yescharacteristic, complemented
141C22⋊C4×Dic11C2211yescharacteristic, complemented
142C4×(C2×D11)⋊C4C2211yescharacteristic
143C4×(C2×D11)⋊C4C2211yescharacteristic
144C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
145#10622546C2211yescharacteristic, complemented
146C4×Dic11⋊C4C2211yescharacteristic, complemented
147#10622542C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic, complemented
149#10622283C2211yescharacteristic, complemented
150#10622283C2211yescharacteristic, complemented
151#10622282C2211yescharacteristic, complemented
152#10622282C2211yescharacteristic, complemented
153#10622282C2211yescharacteristic, complemented
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622281C2211yescharacteristic, complemented
160#10622281C2211yescharacteristic, complemented
161#10622281C2211yescharacteristic, complemented
162#10622281C2211yescharacteristic, complemented
163#10622279C2211yescharacteristic
164#10622279C2211yescharacteristic
165#10622279C2211yescharacteristic
166#10622279C2211yescharacteristic, complemented
167#10622279C2211yescharacteristic, complemented
168#10622279C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622277C2211yescharacteristic, complemented
172D11×#95C2211yescharacteristic
173D11×#95C2211yescharacteristic
174D11×#95C2211yescharacteristic, complemented
175D11×#95C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, 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
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C2×#4341—42no—
206C2×#4341—42no—
207C2×#4341C2×C418yescomplemented
208C2×D4×D11—42no—
209C2×D4×D11—42no—
210C2×D4×D11C2×C418yescomplemented
211C22×D44C2311yescharacteristic
212C22×C4×D11—42no—
213C22×C4×D11—42no—
214C22×C4×D11—42no—
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
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
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊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×C42×C11C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
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
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262#66992C2×C418yescomplemented
263#66990C2×C418yescomplemented
264#66990C2×C418yescomplemented
265#66988C2×C418yescomplemented
266D4×Dic11—42no—
267C4×C22⋊D11—42no—
268C4×C22⋊D11—42no—
269C4×C22⋊D11C2×C418yescomplemented
270C2×(C2×D11)⋊C4C2×C418yescomplemented
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
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
292#66979—42no—
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323#66949C2×C418yescomplemented
324#66947C2×C418yescomplemented
325#66946—42no—
326C4⋊C4×D11—42no—
327C4⋊C4×D11—42no—
328#66938C2×C418yescomplemented
329#66937C2×C418yescomplemented
330(C22⋊D11)⋊C4—42no—
331(C22⋊D11)⋊C4—42no—
332(C22⋊D11)⋊C4—42no—
333(C22⋊D11)⋊C4C2×C418yescomplemented
334C22⋊C4×D11—42no—
335C22⋊C4×D11—42no—
336C22⋊C4×D11—42no—
337C22⋊C4×D11—42no—
338C22⋊C4×D11—42no—
339C22⋊C4×D11C2×C418yescomplemented
340C4×D44—42no—
341#66925—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—41no—
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11C22×C414yes—
410C2×D4×C11C22×C414yes—
411C2×D4×C11C22×C414yescomplemented
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11C22×C414yescomplemented
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11C22×C414yes—
444C2×C22⋊D11C22×C414yes—
445C2×C22⋊D11C22×C414yes—
446C2×C22⋊D11C22×C414yes—
447C2×C22⋊D11C22×C414yescomplemented
448C22×Dic11—22no—
449C22×Dic11—22no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11C22×C414yescomplemented
459C22×Dic11C22×C414yescomplemented
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473#4341—416no—
474D4×D11—416no—
475C2×D44—22no—
476C2×D44—22no—
477C2×D44C22×C414yes—
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—22no—
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
489C2×C4×D11—22no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—41no—
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×C414yes—
517C2×C4×D11C22×C414yes—
518C2×Dic22—41no—
519C2×Dic22—41no—
520C2×Dic22C22×C414yescomplemented
521C11×C4⋊C4—41no—
522C11×C4⋊C4—41no—
523C11×C4⋊C4—41no—
524C11×C4⋊C4—41no—
525C11×C4⋊C4C22×C414yescomplemented
526C11×C22⋊C4—41no—
527C11×C22⋊C4—41no—
528C11×C22⋊C4—41no—
529C11×C22⋊C4—41no—
530C11×C22⋊C4—41no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4—41no—
535C11×C22⋊C4—41no—
536C11×C22⋊C4C22×C414yes—
537C11×C22⋊C4C22×C414yescomplemented
538C42×C11—41no—
539C42×C11—41no—
540C22⋊Dic11—22no—
541C22⋊Dic11—41no—
542C22⋊Dic11—41no—
543C22⋊Dic11—41no—
544C22⋊Dic11—41no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11—41no—
548C22⋊Dic11—41no—
549C22⋊Dic11—41no—
550C22⋊Dic11C22×C414yes—
551C22⋊Dic11C22×C414yes—
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—22no—
559(C2×D11)⋊C4—22no—
560(C2×D11)⋊C4—22no—
561(C2×D11)⋊C4—22no—
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)⋊C4C22×C414yes—
568(C2×D11)⋊C4C22×C414yes—
569(C2×D11)⋊C4C22×C414yes—
570(C2×D11)⋊C4C22×C414yes—
571(C2×D11)⋊C4C22×C414yescomplemented
572(C2×D11)⋊C4C22×C414yescomplemented
573(C2×D11)⋊C4C22×C414yescomplemented
574C4⋊Dic11—22no—
575C4⋊Dic11—41no—
576C4⋊Dic11—41no—
577C4⋊Dic11—41no—
578C4⋊Dic11—41no—
579C4⋊Dic11—41no—
580Dic11⋊C4—22no—
581Dic11⋊C4—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⋊C4C22×C414yescomplemented
591Dic11⋊C4C22×C414yescomplemented
592Dic11⋊C4C22×C414yescomplemented
593C4×Dic11—22no—
594C4×Dic11—41no—
595C4×Dic11—41no—
596C4×Dic11—41no—
597C4×Dic11—41no—
598C4×Dic11—41no—
599C4×Dic11—41no—
600C4×Dic11—41no—
601C4×Dic11—41no—
602C4×Dic11—41no—
603C4×Dic11C22×C414yescomplemented
604C2×#546—111no—
605#2379—111no—
606#2377—111no—
607#2377D1111yescharacteristic, complemented
608#2376—111no—
609#2368—111no—
610#2361—111no—
611#2359—111no—
612#2358—111no—
613#2358—111no—
614#2352—111no—
615#2349—111no—
616#2342—111no—
617#2342—111no—
618#2339—111no—
619D4×C22⋊C4—111no—
620#2337—111no—
621#2335—111no—
622#2329—111no—
623#2325—111no—
624#2325—111no—
625#2324—111no—
626#2322—111no—
627#2321—111no—
628#2318—111no—
629#2318—111no—
630#2315—111no—
631#2311—111no—
632C4×#120—111no—
633C2×#386—111no—
634C2×#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×C11—21no—
652C23×C11—21no—
653C23×C11C23×C412yes—
654C23×C11C23×C412yes—
655C23×C11C23×C412yes—
656C23×C11C2511yescharacteristic
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
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—28no—
672C22×D11—28no—
673C22×D11—28no—
674C22×D11—44no—
675C22×D11—44no—
676C22×D11—44no—
677C22×D11—44no—
678C22×D11—44no—
679C22×D11—44no—
680C22×D11—44no—
681C22×D11—82no—
682C22×D11—82no—
683C22×D11—82no—
684C22×D11—82no—
685C22×D11C23×C412yes—
686C22×D11C23×C412yes—
687C22×D11C23×C412yes—
688C22×D11H(5,𝔽2)12yes—
689C22×D11H(5,𝔽2)12yes—
690C22×D11H(5,𝔽2)12yes—
691C22×D112−1+412yes—
692D4×C11—44no—
693D4×C11—44no—
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—21no—
727C2×C4×C11—44no—
728C2×C4×C11—44no—
729C2×C4×C11—82no—
730C2×C4×C11C23×C412yes—
731C2×C4×C11C23×C412yes—
732C2×C4×C11C23×C412yes—
733C2×C4×C11C23×C412yes—
734C22⋊D11—28no—
735C22⋊D11—28no—
736C22⋊D11—28no—
737C22⋊D11—44no—
738C22⋊D11—44no—
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—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—44no—
773C2×Dic11—44no—
774C2×Dic11—44no—
775C2×Dic11—82no—
776C2×Dic11C23×C412yes—
777C2×Dic11C23×C412yes—
778C2×Dic11C23×C412yes—
779C2×Dic11C23×C412yes—
780C2×Dic11C23×C412yes—
781C2×Dic11H(5,𝔽2)12yes—
782D44—28no—
783C4×D11—28no—
784C4×D11—44no—
785C4×D11—44no—
786C4×D11—44no—
787C4×D11—44no—
788C4×D11—44no—
789C4×D11—44no—
790C4×D11—82no—
791C4×D11—82no—
792C4×D11—82no—
793C4×D11—82no—
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×D4—111no—
818C2×C4×D4—111no—
819C2×C4×D4—111no—
820C2×#117—111no—
821C2×#117—111no—
822C22×C4⋊C4—111no—
823C22×C4⋊C4—111no—
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#390C2×D1111yescharacteristic
840#390C2×D1111yescharacteristic, complemented
841#389—111no—
842#389—111no—
843#389—111no—
844#389—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#388—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#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#387C2×D1111yescharacteristic, complemented
872#387C2×D1111yescharacteristic, complemented
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#386C2×D1111yescharacteristic
892#386C2×D1111yescharacteristic, complemented
893#386C2×D1111yescharacteristic, complemented
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#381C2×D1111yescharacteristic, complemented
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#380C2×D1111yescharacteristic, complemented
932#379—111no—
933#379—111no—
934C4×C4⋊C4—111no—
935C4×C4⋊C4—111no—
936C4×C4⋊C4—111no—
937C4×C22⋊C4—111no—
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4—111no—
946C4×C22⋊C4—111no—
947C4×C22⋊C4—111no—
948C2×#95—111no—
949C2×#95—111no—
950C2×#95—111no—
951C2×#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—41no—
963C22×C11—41no—
964C22×C11—41no—
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—41no—
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—22no—
994C2×D11—22no—
995C2×D11—22no—
996C2×D11—416no—
997C2×D11—41no—
998C2×D11—41no—
999C2×D11—41no—
1000C2×D11—41no—
1001C2×D11—88no—
1002C2×D11#51814yes—
1003C2×D11#52014yes—
1004C4×C11—22no—
1005C4×C11—22no—
1006C4×C11—22no—
1007C4×C11—22no—
1008C4×C11—41no—
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—22no—
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—111no—
1063C23×C4—111no—
1064C23×C4—442no—
1065C23×C4—442no—
1066C23×C4—442no—
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—118no—
1080C4×D4—118no—
1081C4×D4—442no—
1082C4×D4—442no—
1083C4×D4—442no—
1084C4×D4—442no—
1085C4×D4—442no—
1086C4×D4—442no—
1087C4×D4—442no—
1088C4×D4—442no—
1089#117—442no—
1090#117—442no—
1091C2×C4⋊C4—111no—
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—111no—
1110C2×C4⋊C4—442no—
1111C2×C4⋊C4—442no—
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—442no—
1154C2×C22⋊C4—442no—
1155C2×C22⋊C4—442no—
1156C2×C22⋊C4—442no—
1157C2×C22⋊C4—442no—
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
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×C42—111no—
1180C2×C42—111no—
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#95C22×D1111yescharacteristic
1214#95C22×D1111yescharacteristic
1215#95C22×D1111yescharacteristic
1216#95C22×D1111yescharacteristic
1217#95C22×D1111yescharacteristic
1218#95C22×D1111yescharacteristic
1219#95C22×D1111yescharacteristic
1220#95C22×D1111yescharacteristic
1221#95C22×D1111yescharacteristic
1222#95C22×D1111yescharacteristic
1223C2×C11—42no—
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—24no—
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—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
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—222no—
1277C2×D4—222no—
1278C2×D4—222no—
1279C2×D4—222no—
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—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—111no—
1297C22×C4—111no—
1298C22×C4—111no—
1299C22×C4—111no—
1300C22×C4—111no—
1301C22×C4—111no—
1302C22×C4—114no—
1303C22×C4—114no—
1304C22×C4—114no—
1305C22×C4—114no—
1306C22×C4—114no—
1307C22×C4—111no—
1308C22×C4—111no—
1309C22×C4—111no—
1310C22×C4—111no—
1311C22×C4—111no—
1312C22×C4—111no—
1313C22×C4—111no—
1314C22×C4—222no—
1315C22×C4—222no—
1316C22×C4—222no—
1317C22×C4—222no—
1318C22×C4—222no—
1319C22×C4—222no—
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—441no—
1329C22×C4—441no—
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—441no—
1349C22×C4—441no—
1350C22×C4—441no—
1351C22×C4—441no—
1352C22×C4—4416no—
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×D1114yescomplemented
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—41no—
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—41no—
1378C4⋊C4—114no—
1379C4⋊C4—114no—
1380C4⋊C4—114no—
1381C4⋊C4—222no—
1382C4⋊C4—222no—
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—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
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—114no—
1417C22⋊C4—114no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—222no—
1421C22⋊C4—222no—
1422C22⋊C4—222no—
1423C22⋊C4—222no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—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×D1114yes—
1443C22⋊C4C2×C4×D1114yescomplemented
1444C42—41no—
1445C42—41no—
1446C42—114no—
1447C42—222no—
1448C42—441no—
1449C42—441no—
1450C42—441no—
1451C42—441no—
1452C42—441no—
1453C42—441no—
1454C42—441no—
1455C42—441no—
1456C42—441no—
1457C11#3445611yescharacteristic, complemented, Sylow
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—112no—
1477C23—112no—
1478C23—112no—
1479C23—112no—
1480C23—112no—
1481C23—112no—
1482C23—112no—
1483C23—228no—
1484C23—228no—
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—221no—
1499C23—221no—
1500C23—444no—
1501C23—444no—
1502C23—444no—
1503C23—444no—
1504C23—444no—
1505C23—444no—
1506C23—444no—
1507C23—882no—
1508C23—882no—
1509C23—882no—
1510C23—882no—
1511C23C22×C4×D1112yes—
1512C23C22×C4×D1112yes—
1513C23C22×C4×D1112yes—
1514C23C24×D1111yescharacteristic
1515Q8—444no—
1516D4—44no—
1517D4—44no—
1518D4—44no—
1519D4—228no—
1520D4—228no—
1521D4—228no—
1522D4—228no—
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—21no—
1557C2×C4—44no—
1558C2×C4—44no—
1559C2×C4—82no—
1560C2×C4—112no—
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—444no—
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—882no—
1610C2×C4—882no—
1611C2×C4—882no—
1612C2×C4—882no—
1613C2×C4—882no—
1614C2×C4—882no—
1615C2×C4—882no—
1616C2×C4C22×C4×D1112yes—
1617C2×C4C22×C4×D1112yes—
1618C2×C4C22×C4×D1112yes—
1619C2×C4C22×C4×D1112yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—114no—
1642C22—114no—
1643C22—222no—
1644C22—222no—
1645C22—222no—
1646C22—222no—
1647C22—222no—
1648C22—222no—
1649C22—222no—
1650C22—222no—
1651C22—222no—
1652C22—222no—
1653C22—222no—
1654C22—222no—
1655C22—222no—
1656C22—222no—
1657C22—222no—
1658C22—4416no—
1659C22—441no—
1660C22—441no—
1661C22—441no—
1662C22—441no—
1663C22—888no—
1664C22C23×C4×D1111yescharacteristic
1665C22D11×H(5,𝔽2)11yescharacteristic
1666C22D11×H(5,𝔽2)11yescharacteristic
1667C22D11×H(5,𝔽2)11yescharacteristic
1668C22D11×H(5,𝔽2)11yescharacteristic
1669C22#1062345511yescharacteristic
1670C22D11×2−1+411yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—41no—
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—222no—
1689C4—441no—
1690C4—441no—
1691C4—441no—
1692C4—441no—
1693C4—441no—
1694C4—441no—
1695C4—441no—
1696C2—42no—
1697C2—42no—
1698C2—42no—
1699C2—224no—
1700C2—224no—
1701C2—442no—
1702C2D11×#51811yescharacteristic
1703C2D11×#52011yescharacteristic
1704C2#1308182011yescharacteristic
1705C2#1308276911yescharacteristic
1706C2#1308279711yescharacteristic
1707C2#1308281611yescharacteristic
1708C2#1308283511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2377C2
socle, cosocleC23×C11C25
prime radicalC2×#10623141C2
hypercenter#2377D11
hypocenterC11#34456
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2377

Complements

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

NH ≅ G/Ntype
2. #13071789C2semidirect
3. #13071774C2semidirect
4. #13071759C2semidirect
5. #13071693C2semidirect
6. #13071629C2semidirect
7. #13071601C2semidirect
8. #13071599C2semidirect
9. #13071597C2semidirect
10. #13071538C2semidirect
11. #13071522C2semidirect
12. #13071460C2semidirect
13. #13071458C2semidirect
14. #13071442C2semidirect
15. #13071437C2semidirect
16. #13071423C2semidirect
17. #13071403C2semidirect
18. #13071343C2semidirect
19. #13071317C2semidirect
20. #13071313C2semidirect
21. #13071311C2semidirect
22. #13071289C2semidirect
23. #13071272C2semidirect
24. #13071246C2semidirect
25. #13071245C2semidirect
26. #13071229C2semidirect
27. #13071206C2semidirect
28. #13071121C2semidirect
29. D11×#386C2semidirect
30. D11×#385C2semidirect
31. C11×#2377C2semidirect
40. C2×D4×Dic11C22semidirect
43. C2×C4×C22⋊D11C22semidirect
45. C2×#66979C22semidirect
46. #10623141C4semidirect
50. C2×C4⋊C4×D11C22semidirect
51. C2×C4⋊C4×D11C22semidirect
56. C2×(C22⋊D11)⋊C4C22semidirect
57. C2×(C22⋊D11)⋊C4C22semidirect
65. C2×#66925C22semidirect
67. C11×#390C22semidirect
68. C11×#388C22semidirect
69. C11×#388C22semidirect
70. C11×#387C22semidirect
71. C11×#387C22semidirect
73. C11×#386C22semidirect
74. C11×#386C22semidirect
75. C11×#386C22semidirect
76. C11×#385C22semidirect
77. C11×#385C22semidirect
78. C11×#381C22semidirect
79. C11×#380C22semidirect
81. #10622834C22semidirect
82. #10622834C22semidirect
84. #10622833C22semidirect
86. #10622826C22semidirect
87. #10622825C22semidirect
88. #10622823C22semidirect
89. #10622823C22semidirect
90. C2×C11⋊#95C22semidirect
94. #10622602C22semidirect
95. #10622602C22semidirect
96. #10622602C22semidirect
98. #10622600C22semidirect
99. #10622598C22semidirect
100. #10622591C22semidirect
101. #10622590C22semidirect
102. C4⋊C4×Dic11C22semidirect
103. C4⋊C4×Dic11C22semidirect
104. #10622587C22semidirect
105. #10622585C22semidirect
107. #10622570C22semidirect
116. #10622569C22semidirect
117. #10622569C22semidirect
118. #10622569C22semidirect
121. #10622564C22semidirect
122. #10622564C22semidirect
123. #10622563C22semidirect
124. #10622563C22semidirect
125. #10622559C22semidirect
126. #10622558C22semidirect
127. #10622558C22semidirect
128. #10622558C22semidirect
129. #10622557C22semidirect
130. #10622557C22semidirect
131. #10622557C22semidirect
132. #10622557C22semidirect
133. #10622557C22semidirect
134. #10622556C22semidirect
135. #10622555C22semidirect
136. #10622555C22semidirect
137. #10622555C22semidirect
138. #10622555C22semidirect
139. #10622555C22semidirect
140. C22⋊C4×Dic11C22semidirect
141. C22⋊C4×Dic11C22semidirect
144. C4×(C2×D11)⋊C4C22semidirect
145. #10622546C22semidirect
146. C4×Dic11⋊C4C22semidirect
147. #10622542C22semidirect
148. #10622283C22semidirect
149. #10622283C22semidirect
150. #10622283C22semidirect
151. #10622282C22semidirect
152. #10622282C22semidirect
153. #10622282C22semidirect
159. #10622281C22semidirect
160. #10622281C22semidirect
161. #10622281C22semidirect
162. #10622281C22semidirect
166. #10622279C22semidirect
167. #10622279C22semidirect
168. #10622279C22semidirect
171. #10622277C22semidirect
174. D11×#95C22semidirect
175. D11×#95C22semidirect
176. #10622268C22semidirect
177. #10622268C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622263C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
207. C2×#4341C2×C4semidirect
210. C2×D4×D11C2×C4semidirect
229. C11×#121C2×C4semidirect
262. #66992C2×C4semidirect
263. #66990C2×C4semidirect
264. #66990C2×C4semidirect
265. #66988C2×C4semidirect
269. C4×C22⋊D11C2×C4semidirect
270. C2×(C2×D11)⋊C4C2×C4semidirect
323. #66949C2×C4semidirect
324. #66947C2×C4semidirect
328. #66938C2×C4semidirect
329. #66937C2×C4semidirect
333. (C22⋊D11)⋊C4C2×C4semidirect
339. C22⋊C4×D11C2×C4semidirect
411. C2×D4×C11C22×C4semidirect
420. C22×C4×C11C22×C4semidirect
447. C2×C22⋊D11C22×C4semidirect
458. C22×Dic11C22×C4semidirect
459. C22×Dic11C22×C4semidirect
520. C2×Dic22C22×C4semidirect
525. C11×C4⋊C4C22×C4semidirect
537. C11×C22⋊C4C22×C4semidirect
552. C22⋊Dic11C22×C4semidirect
571. (C2×D11)⋊C4C22×C4semidirect
572. (C2×D11)⋊C4C22×C4semidirect
573. (C2×D11)⋊C4C22×C4semidirect
590. Dic11⋊C4C22×C4semidirect
591. Dic11⋊C4C22×C4semidirect
592. Dic11⋊C4C22×C4semidirect
603. C4×Dic11C22×C4semidirect
607. #2377D11semidirect
840. #390C2×D11semidirect
861. #388C2×D11semidirect
862. #388C2×D11semidirect
871. #387C2×D11semidirect
872. #387C2×D11semidirect
892. #386C2×D11semidirect
893. #386C2×D11semidirect
894. #386C2×D11semidirect
915. #385C2×D11semidirect
916. #385C2×D11semidirect
922. #381C2×D11semidirect
931. #380C2×D11semidirect
1076. #121C4×D11semidirect
1287. C2×D4C2×C4×D11semidirect
1361. C22×C4C2×C4×D11semidirect
1397. C4⋊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
#130717742
#130717592
#130716932
#130716292
#130716012
#130715992
#130715972
#130715382
#130715222
#130714602
#130714582
#130714422
#130714372
#130714232
#130714032
#130713432
#130713172
#130713132
#130713112
#130712892
#130712722
#130712462
#130712452
#130712292
#130712062
#130711212
D11×#3862
D11×#3852
C11×#23772
#3445611