Finite Group Databasebeta

← #14919933

Subgroups — #14919933

Order 2816.

2488 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623214C211yesmaximal, characteristic
2#13071789C211yesmaximal, characteristic, complemented
3#13071788C211yesmaximal, characteristic, complemented
4#13071785C211yesmaximal, characteristic, complemented
5#13071690C211yesmaximal, characteristic, complemented
6#13071687C211yesmaximal, characteristic, complemented
7#13071685C211yesmaximal, characteristic, complemented
8#13071683C211yesmaximal, characteristic, complemented
9#13071682C211yesmaximal, characteristic, complemented
10#13071598C211yesmaximal, characteristic, complemented
11#13071598C211yesmaximal, characteristic, complemented
12#13071597C211yesmaximal, characteristic, complemented
13#13071594C211yesmaximal, characteristic, complemented
14#13071593C211yesmaximal, characteristic, complemented
15#13071592C211yesmaximal, characteristic, complemented
16#13071431C211yesmaximal, characteristic, complemented
17#13071430C211yesmaximal, characteristic, complemented
18#13071429C211yesmaximal, characteristic, complemented
19#13071429C211yesmaximal, characteristic, complemented
20#13071428C211yesmaximal, characteristic, complemented
21#13071424C211yesmaximal, characteristic, complemented
22#13071278C211yesmaximal, characteristic, complemented
23#13071275C211yesmaximal, characteristic, complemented
24#13071273C211yesmaximal, characteristic, complemented
25#13071270C211yesmaximal, characteristic, complemented
26#13071269C211yesmaximal, characteristic, complemented
27#13071269C211yesmaximal, characteristic, complemented
28C4×#67000C211yesmaximal, characteristic, complemented
29#13071157C211yesmaximal, characteristic, complemented
30C4×#66938C211yesmaximal, characteristic, complemented
31C11×#2367C211yesmaximal, characteristic, complemented
32C2×C11×#124C2211yescharacteristic
33C2×C4×Q8×C11C2211yescharacteristic, complemented
34C2×C4×D4×C11C2211yescharacteristic
35C2×#67000C2211yescharacteristic
36C2×#67000C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
41C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
42#10623214C4116yescomplemented
43C2×#66946C2211yescharacteristic
44C2×#66946C2211yescharacteristic
45C2×#66940C2211yescharacteristic, complemented
46C2×#66938C2211yescharacteristic
47C2×#66938C2211yescharacteristic
48C2×#66938C2211yescharacteristic
49C2×#66938C2211yescharacteristic
50C2×#66935C2211yescharacteristic
51C2×#66935C2211yescharacteristic
52C2×#66935C2211yescharacteristic
53C2×#66935C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×C22⋊C4×D11C2211yescharacteristic, complemented
58C2×C22⋊C4×D11C2211yescharacteristic, complemented
59C2×C22⋊C4×D11C2211yescharacteristic, complemented
60C2×C22⋊C4×D11C2211yescharacteristic, complemented
61C2×#66928C2211yescharacteristic
62C2×#66928C2211yescharacteristic
63C2×C4×D44C2211yescharacteristic
64C2×C4×D44C2211yescharacteristic
65C2×C4×Dic22C2211yescharacteristic, complemented
66C11×#391C2211yescharacteristic, complemented
67C11×#390C2211yescharacteristic
68C11×#388C2211yescharacteristic, complemented
69C11×#388C2211yescharacteristic, complemented
70C11×#388C2211yescharacteristic, complemented
71C11×#388C2211yescharacteristic, complemented
72C11×#385C2211yescharacteristic, complemented
73C11×#385C2211yescharacteristic, complemented
74C4×C11×C4⋊C4C2211yescharacteristic, complemented
75C4×C11×C4⋊C4C2211yescharacteristic, complemented
76C4×C11×C22⋊C4C2211yescharacteristic, complemented
77C4×C11×C22⋊C4C2211yescharacteristic, complemented
78#10622843C2211yescharacteristic, complemented
79#10622843C2211yescharacteristic, complemented
80#10622833C2211yescharacteristic
81#10622833C2211yescharacteristic
82#10622826C2211yescharacteristic
83#10622826C2211yescharacteristic
84#10622826C2211yescharacteristic
85#10622823C2211yescharacteristic, complemented
86C4×C22⋊Dic11C2211yescharacteristic, complemented
87#10622603C2211yescharacteristic, complemented
88#10622603C2211yescharacteristic, complemented
89#10622603C2211yescharacteristic, complemented
90#10622603C2211yescharacteristic, complemented
91#10622603C2211yescharacteristic, complemented
92#10622603C2211yescharacteristic, complemented
93#10622603C2211yescharacteristic, complemented
94#10622603C2211yescharacteristic, complemented
95#10622603C2211yescharacteristic, complemented
96#10622602C2211yescharacteristic, complemented
97#10622602C2211yescharacteristic, complemented
98#10622602C2211yescharacteristic, complemented
99#10622602C2211yescharacteristic, complemented
100#10622602C2211yescharacteristic, complemented
101#10622602C2211yescharacteristic, complemented
102#10622602C2211yescharacteristic, complemented
103#10622601C2211yescharacteristic
104#10622601C2211yescharacteristic
105#10622590C2211yescharacteristic, complemented
106C4⋊C4×Dic11C2211yescharacteristic, complemented
107#10622587C2211yescharacteristic, complemented
108#10622571C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622570C2211yescharacteristic
112#10622570C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622568C2211yescharacteristic, complemented
118#10622568C2211yescharacteristic, complemented
119#10622564C2211yescharacteristic, complemented
120#10622564C2211yescharacteristic, complemented
121#10622564C2211yescharacteristic, complemented
122#10622564C2211yescharacteristic, complemented
123#10622563C2211yescharacteristic, complemented
124#10622563C2211yescharacteristic, complemented
125#10622559C2211yescharacteristic, complemented
126#10622558C2211yescharacteristic, complemented
127#10622558C2211yescharacteristic, complemented
128#10622557C2211yescharacteristic, complemented
129#10622557C2211yescharacteristic, complemented
130C22⋊C4×Dic11C2211yescharacteristic, complemented
131C22⋊C4×Dic11C2211yescharacteristic, complemented
132C22⋊C4×Dic11C2211yescharacteristic, complemented
133#10622553C2211yescharacteristic, complemented
134#10622553C2211yescharacteristic, complemented
135#10622553C2211yescharacteristic, complemented
136#10622553C2211yescharacteristic, complemented
137#10622553C2211yescharacteristic, complemented
138#10622553C2211yescharacteristic, complemented
139#10622553C2211yescharacteristic, complemented
140#10622552C2211yescharacteristic
141#10622552C2211yescharacteristic
142C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
143C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
144C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
148C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
150C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
151#10622550C2211yescharacteristic, complemented
152C4×C4⋊Dic11C2211yescharacteristic, complemented
153C4×Dic11⋊C4C2211yescharacteristic, complemented
154C42×Dic11C2211yescharacteristic, complemented
155#10622542C2211yescharacteristic, complemented
156#10622283C2211yescharacteristic, complemented
157#10622283C2211yescharacteristic, complemented
158#10622283C2211yescharacteristic, complemented
159#10622282C2211yescharacteristic, complemented
160#10622282C2211yescharacteristic, complemented
161#10622282C2211yescharacteristic, complemented
162#10622282C2211yescharacteristic, complemented
163#10622282C2211yescharacteristic, complemented
164#10622281C2211yescharacteristic, complemented
165#10622281C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622281C2211yescharacteristic, complemented
168#10622281C2211yescharacteristic, complemented
169#10622279C2211yescharacteristic, complemented
170#10622279C2211yescharacteristic, complemented
171#10622279C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic
179#10622278C2211yescharacteristic
180#10622264C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C11×#124C2×C418yescomplemented
215C4×Q8×C11—42no—
216C4×D4×C11—42no—
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248#67000C2×C418yescomplemented
249#67000C2×C418yescomplemented
250#66990C2×C418yescomplemented
251#66990C2×C418yescomplemented
252C4×C22⋊D11—42no—
253C2×(C2×D11)⋊C4—42no—
254C2×(C2×D11)⋊C4—42no—
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(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×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317#66946—42no—
318#66946—42no—
319#66940—42no—
320#66938C2×C418yescomplemented
321#66938C2×C418yescomplemented
322#66938C2×C418yescomplemented
323#66938C2×C418yescomplemented
324#66935C2×C418yescomplemented
325#66935C2×C418yescomplemented
326#66935C2×C418yescomplemented
327#66935C2×C418yescomplemented
328(C22⋊D11)⋊C4—42no—
329(C22⋊D11)⋊C4—42no—
330(C22⋊D11)⋊C4—42no—
331C22⋊C4×D11—42no—
332C22⋊C4×D11—42no—
333C22⋊C4×D11—42no—
334C22⋊C4×D11—42no—
335#66928C2×C418yescomplemented
336#66928C2×C418yescomplemented
337C4×D44—42no—
338C4×D44—42no—
339C4×Dic22—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
376#34529—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C23×D11—41no—
380C23×D11—41no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11—41no—
387C23×D11—41no—
388C23×D11—41no—
389C23×D11—41no—
390C23×D11—41no—
391C23×D11C22×C414yes—
392C23×D11C22×C414yes—
393C23×D11C2411yescharacteristic
394C23×D11C2411yescharacteristic
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C2×Q8×C11—41no—
398C2×Q8×C11—41no—
399C2×Q8×C11C22×C414yes—
400C2×D4×C11—41no—
401C2×D4×C11—41no—
402C2×D4×C11C22×C414yes—
403C22×C4×C11—22no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11C22×C414yes—
431C2×C22⋊D11C22×C414yes—
432C2×C22⋊D11C22×C414yes—
433C2×C22⋊D11C22×C414yes—
434C22×Dic11—22no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C2×D44—41no—
453C2×D44—41no—
454C2×D44—41no—
455C2×D44—41no—
456C2×D44—41no—
457C2×D44—41no—
458C2×D44—41no—
459C2×D44—41no—
460C2×D44C22×C414yes—
461C2×D44C22×C414yes—
462C2×D44C22×C414yes—
463C2×D44C22×C414yes—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×Dic22—41no—
489C2×Dic22—41no—
490C2×Dic22—41no—
491C2×Dic22—41no—
492C2×Dic22C22×C414yes—
493C2×Dic22C22×C414yes—
494C11×C4⋊C4—22no—
495C11×C4⋊C4—22no—
496C11×C4⋊C4—22no—
497C11×C4⋊C4—41no—
498C11×C4⋊C4—41no—
499C11×C4⋊C4—41no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4C22×C414yes—
507C11×C22⋊C4C22×C414yes—
508C11×C22⋊C4C22×C414yes—
509C11×C22⋊C4C22×C414yes—
510C42×C11—22no—
511C42×C11—41no—
512C42×C11—41no—
513C42×C11—41no—
514C42×C11—41no—
515C42×C11—41no—
516C42×C11C22×C414yes—
517C22⋊Dic11—22no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521C22⋊Dic11—41no—
522C22⋊Dic11—41no—
523C22⋊Dic11C22×C414yes—
524C22⋊Dic11C22×C414yes—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
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×C414yes—
556(C2×D11)⋊C4C22×C414yes—
557(C2×D11)⋊C4C22×C414yes—
558(C2×D11)⋊C4C22×C414yes—
559(C2×D11)⋊C4C22×C414yes—
560(C2×D11)⋊C4C22×C414yes—
561C4⋊Dic11—22no—
562C4⋊Dic11—41no—
563C4⋊Dic11—41no—
564C4⋊Dic11—41no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569Dic11⋊C4—41no—
570Dic11⋊C4—41no—
571Dic11⋊C4—41no—
572Dic11⋊C4—41no—
573C4×Dic11—22no—
574C4×Dic11—22no—
575C4×Dic11—41no—
576C4×Dic11—41no—
577C4×Dic11—41no—
578C4×Dic11—41no—
579C4×Dic11—41no—
580C4×Dic11—41no—
581C4×Dic11—41no—
582C4×Dic11—41no—
583C4×Dic11—41no—
584C4×Dic11—41no—
585C4×Dic11C22×C414yes—
586C4×Dic11C22×C414yes—
587C2×H(3,𝔽4)—111no—
588#2379—111no—
589#2379—111no—
590#2379—111no—
591#2367—111no—
592#2367—111no—
593#2367—111no—
594#2367—111no—
595#2367—111no—
596#2367D1111yescharacteristic, complemented
597#2358—111no—
598#2358—111no—
599#2358—111no—
600#2358—111no—
601#2358—111no—
602#2358—111no—
603#2337—111no—
604#2337—111no—
605#2337—111no—
606#2337—111no—
607#2337—111no—
608#2337—111no—
609#2321—111no—
610#2321—111no—
611#2321—111no—
612#2321—111no—
613#2321—111no—
614#2321—111no—
615C4×#124—111no—
616C4×#124—111no—
617C4×#124—111no—
618C23×C11—21no—
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×C11C23×C412yes—
631C23×C11C23×C412yes—
632C23×C11C2511yescharacteristic
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
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—44no—
658C22×D11—44no—
659C22×D11—44no—
660C22×D11—44no—
661C22×D11—44no—
662C22×D11—44no—
663C22×D11—82no—
664C22×D11—82no—
665C22×D11—82no—
666C22×D11—82no—
667C22×D11—82no—
668C22×D11—82no—
669C22×D11—82no—
670C22×D11—82no—
671C22×D11C23×C412yes—
672C22×D11C23×C412yes—
673C22×D11C23×C412yes—
674C22×D11C23×C412yes—
675Q8×C11—44no—
676D4×C11—44no—
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—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—82no—
710C2×C4×C11—82no—
711C2×C4×C11C23×C412yes—
712C2×C4×C11C23×C412yes—
713C2×C4×C11C23×C412yes—
714C2×C4×C11C23×C412yes—
715C2×C4×C11C23×C412yes—
716C2×C4×C11H(5,𝔽2)12yes—
717C2×C4×C11H(5,𝔽2)12yes—
718C22⋊D11—44no—
719C22⋊D11—44no—
720C22⋊D11—44no—
721C22⋊D11—44no—
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—82no—
754C2×Dic11—82no—
755C2×Dic11C23×C412yes—
756C2×Dic11C23×C412yes—
757C2×Dic11C23×C412yes—
758C2×Dic11C23×C412yes—
759C2×Dic11H(5,𝔽2)12yes—
760D44—44no—
761D44—44no—
762D44—44no—
763D44—44no—
764C4×D11—82no—
765C4×D11—82no—
766C4×D11—82no—
767C4×D11—82no—
768C4×D11—82no—
769C4×D11—82no—
770C4×D11—82no—
771C4×D11—82no—
772Dic22—44no—
773Dic22—44no—
774H(3,𝔽4)—1116no—
775C2×#124—111no—
776C2×#124—111no—
777C2×#124—111no—
778C2×#124—111no—
779C2×#124—111no—
780C2×#124—111no—
781C2×#124—111no—
782C2×#124—111no—
783C2×#124C2×D1111yescharacteristic
784C2×#120—111no—
785C2×#120—111no—
786C2×#120—111no—
787C2×#120—111no—
788C2×#120—111no—
789C2×#120—111no—
790C2×C4×Q8—111no—
791C2×C4×Q8—111no—
792C2×C4×Q8C2×D1111yescharacteristic, complemented
793C2×C4×D4—111no—
794C2×C4×D4—111no—
795C2×C4×D4—111no—
796C2×C4×D4—111no—
797C2×C4×D4—111no—
798C2×C4×D4—111no—
799C2×C4×D4—111no—
800C2×C4×D4—111no—
801C2×C4×D4C2×D1111yescharacteristic
802C22×C22⋊C4—111no—
803C22×C22⋊C4—111no—
804C22×C22⋊C4—111no—
805C22×C22⋊C4—111no—
806C22×C22⋊C4—111no—
807C22×C22⋊C4—111no—
808#391—111no—
809#391—111no—
810#391—111no—
811#391—111no—
812#391—111no—
813#391—111no—
814#391—111no—
815#391—111no—
816#391C2×D1111yescharacteristic, complemented
817#390—111no—
818#390—111no—
819#390—111no—
820#390—111no—
821#390—111no—
822#390—111no—
823#390—111no—
824#390—111no—
825#390C2×D1111yescharacteristic
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#388—111no—
844#388—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#388C2×D1111yescharacteristic, complemented
859#388C2×D1111yescharacteristic, complemented
860#388C2×D1111yescharacteristic, complemented
861#388C2×D1111yescharacteristic, complemented
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#386—111no—
880#385—111no—
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#385—111no—
894#385—111no—
895#385—111no—
896#385C2×D1111yescharacteristic, complemented
897#385C2×D1111yescharacteristic, complemented
898#383—111no—
899#383—111no—
900#382—111no—
901#382—111no—
902#382—111no—
903#379—111no—
904#379—111no—
905C4×C4⋊C4—111no—
906C4×C4⋊C4—111no—
907C4×C4⋊C4—111no—
908C4×C4⋊C4—111no—
909C4×C4⋊C4C2×D1111yescharacteristic, complemented
910C4×C4⋊C4C2×D1111yescharacteristic, complemented
911C4×C22⋊C4—111no—
912C4×C22⋊C4—111no—
913C4×C22⋊C4—111no—
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⋊C4—111no—
925C4×C22⋊C4—111no—
926C4×C22⋊C4—111no—
927C4×C22⋊C4C2×D1111yescharacteristic, complemented
928C4×C22⋊C4C2×D1111yescharacteristic, complemented
929C43—111no—
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×C11C24×C411yescharacteristic
945C22×C11C2×H(5,𝔽2)11yescharacteristic
946C22×C11C2×H(5,𝔽2)11yescharacteristic
947C22×C11C2×H(5,𝔽2)11yescharacteristic
948C22×C11#58511yescharacteristic
949C22×C11#58511yescharacteristic
950C22×C11#58511yescharacteristic
951C2×D11—22no—
952C2×D11—22no—
953C2×D11—22no—
954C2×D11—22no—
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—41no—
964C2×D11—41no—
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—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—88no—
980C2×D11—88no—
981C4×C11—22no—
982C4×C11—22no—
983C4×C11—22no—
984C4×C11—22no—
985C4×C11—22no—
986C4×C11—22no—
987C4×C11—22no—
988C4×C11—41no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994Dic11—22no—
995Dic11—22no—
996Dic11—22no—
997Dic11—22no—
998Dic11—22no—
999Dic11—41no—
1000Dic11—41no—
1001Dic11—41no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006C25—111no—
1007C25—111no—
1008C22×Q8—111no—
1009C22×Q8—111no—
1010C22×Q8C22×D1111yescharacteristic
1011C22×D4—111no—
1012C22×D4—111no—
1013C22×D4—111no—
1014C22×D4—111no—
1015C22×D4—111no—
1016C22×D4—111no—
1017C22×D4—111no—
1018C22×D4—111no—
1019C22×D4C22×D1111yescharacteristic
1020C23×C4—111no—
1021C23×C4—111no—
1022C23×C4—111no—
1023C23×C4—111no—
1024C23×C4—111no—
1025C23×C4—111no—
1026C23×C4—111no—
1027C23×C4—111no—
1028C23×C4—111no—
1029C23×C4—111no—
1030C23×C4C22×D1111yescharacteristic
1031C23×C4C22×D1111yescharacteristic
1032#124—118no—
1033#124—118no—
1034#124—118no—
1035#124—118no—
1036#124—118no—
1037#124—118no—
1038#124—118no—
1039#124—118no—
1040#124C4×D1118yescomplemented
1041#120—118no—
1042#120—118no—
1043#120—118no—
1044#120—118no—
1045#120—118no—
1046#120—118no—
1047C4×Q8—42no—
1048C4×Q8—442no—
1049C4×Q8—442no—
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—
1059C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1072C2×C4⋊C4C22×D1111yescharacteristic
1073C2×C4⋊C4C22×D1111yescharacteristic
1074C2×C4⋊C4C22×D1111yescharacteristic
1075C2×C4⋊C4C22×D1111yescharacteristic
1076C2×C4⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
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—442no—
1122C2×C22⋊C4—442no—
1123C2×C22⋊C4—442no—
1124C2×C22⋊C4—442no—
1125C2×C22⋊C4—442no—
1126C2×C22⋊C4—442no—
1127C2×C22⋊C4C22×D1111yescharacteristic
1128C2×C22⋊C4C22×D1111yescharacteristic
1129C2×C22⋊C4C22×D1111yescharacteristic
1130C2×C22⋊C4C22×D1111yescharacteristic
1131C2×C22⋊C4C22×D1111yescharacteristic
1132C2×C22⋊C4C22×D1111yescharacteristic
1133C2×C22⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4C22×D1111yescharacteristic
1135C2×C22⋊C4C22×D1111yescharacteristic
1136C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1147C2×C42—111no—
1148C2×C42—111no—
1149C2×C42—111no—
1150C2×C42—111no—
1151C2×C42C22×D1111yescharacteristic
1152C2×C42C22×D1111yescharacteristic
1153C2×C42C22×D1111yescharacteristic
1154C2×C42C22×D1111yescharacteristic
1155C2×C42C22×D1111yescharacteristic
1156C2×C42C22×D1111yescharacteristic
1157C2×C42C22×D1111yescharacteristic
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#95—111no—
1185#95—111no—
1186#95C22×D1111yescharacteristic
1187#95C22×D1111yescharacteristic
1188#95C22×D1111yescharacteristic
1189#95C22×D1111yescharacteristic
1190#95C22×D1111yescharacteristic
1191#95C22×D1111yescharacteristic
1192#95C22×D1111yescharacteristic
1193#95C22×D1111yescharacteristic
1194C2×C11—42no—
1195C2×C11—42no—
1196C2×C11C4×H(5,𝔽2)11yescharacteristic
1197C2×C11C4×H(5,𝔽2)11yescharacteristic
1198C2×C11C4×H(5,𝔽2)11yescharacteristic
1199C2×C11#355811yescharacteristic
1200C2×C11#355811yescharacteristic
1201C2×C11#355811yescharacteristic
1202C2×C11#356811yescharacteristic
1203D11—42no—
1204D11—42no—
1205D11—42no—
1206D11—42no—
1207C24—111no—
1208C24—111no—
1209C24—111no—
1210C24—111no—
1211C24—114no—
1212C24—114no—
1213C24—441no—
1214C24—441no—
1215C24—441no—
1216C24—441no—
1217C24—441no—
1218C24—441no—
1219C24—441no—
1220C24—441no—
1221C24—441no—
1222C24—441no—
1223C24—441no—
1224C24—441no—
1225C24C23×D1111yescharacteristic
1226C24C23×D1111yescharacteristic
1227C2×Q8—41no—
1228C2×Q8—41no—
1229C2×Q8—114no—
1230C2×Q8—114no—
1231C2×Q8—441no—
1232C2×Q8—441no—
1233C2×Q8—441no—
1234C2×Q8—441no—
1235C2×Q8C2×C4×D1114yes—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—114no—
1239C2×D4—114no—
1240C2×D4—114no—
1241C2×D4—114no—
1242C2×D4—114no—
1243C2×D4—114no—
1244C2×D4—114no—
1245C2×D4—114no—
1246C2×D4—441no—
1247C2×D4—441no—
1248C2×D4—441no—
1249C2×D4—441no—
1250C2×D4—441no—
1251C2×D4—441no—
1252C2×D4—441no—
1253C2×D4—441no—
1254C2×D4—441no—
1255C2×D4—441no—
1256C2×D4—441no—
1257C2×D4—441no—
1258C2×D4—441no—
1259C2×D4—441no—
1260C2×D4—441no—
1261C2×D4—441no—
1262C2×D4C2×C4×D1114yes—
1263C22×C4—22no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—111no—
1270C22×C4—111no—
1271C22×C4—111no—
1272C22×C4—111no—
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—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
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—441no—
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×C4—441no—
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
1323C22×C4C23×D1111yescharacteristic
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—222no—
1331C4⋊C4—222no—
1332C4⋊C4—222no—
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—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—114no—
1349C22⋊C4—114no—
1350C22⋊C4—114no—
1351C22⋊C4—114no—
1352C22⋊C4—114no—
1353C22⋊C4—114no—
1354C22⋊C4—114no—
1355C22⋊C4—114no—
1356C22⋊C4—114no—
1357C22⋊C4—114no—
1358C22⋊C4—114no—
1359C22⋊C4—114no—
1360C22⋊C4—114no—
1361C22⋊C4—114no—
1362C22⋊C4—222no—
1363C22⋊C4—222no—
1364C22⋊C4—222no—
1365C22⋊C4—222no—
1366C22⋊C4—222no—
1367C22⋊C4—222no—
1368C22⋊C4—222no—
1369C22⋊C4—222no—
1370C22⋊C4—222no—
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⋊C4C2×C4×D1114yes—
1393C22⋊C4C2×C4×D1114yes—
1394C22⋊C4C2×C4×D1114yes—
1395C22⋊C4C2×C4×D1114yes—
1396C42—22no—
1397C42—41no—
1398C42—41no—
1399C42—41no—
1400C42—41no—
1401C42—41no—
1402C42—114no—
1403C42—114no—
1404C42—222no—
1405C42—222no—
1406C42—441no—
1407C42—441no—
1408C42—441no—
1409C42—441no—
1410C42—441no—
1411C42—441no—
1412C42—441no—
1413C42—441no—
1414C42—441no—
1415C42—441no—
1416C42C2×C4×D1114yes—
1417C11#3452911yescharacteristic, complemented, Sylow
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—112no—
1431C23—112no—
1432C23—112no—
1433C23—112no—
1434C23—221no—
1435C23—221no—
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—221no—
1455C23—221no—
1456C23—221no—
1457C23—221no—
1458C23—444no—
1459C23—444no—
1460C23—444no—
1461C23—444no—
1462C23—444no—
1463C23—444no—
1464C23—882no—
1465C23—882no—
1466C23—882no—
1467C23—882no—
1468C23—882no—
1469C23—882no—
1470C23—882no—
1471C23—882no—
1472C23C22×C4×D1112yes—
1473C23C22×C4×D1112yes—
1474C23C24×D1111yescharacteristic
1475Q8—44no—
1476Q8—444no—
1477Q8—444no—
1478D4—44no—
1479D4—444no—
1480D4—444no—
1481D4—444no—
1482D4—444no—
1483D4—444no—
1484D4—444no—
1485D4—444no—
1486D4—444no—
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—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—82no—
1520C2×C4—82no—
1521C2×C4—112no—
1522C2×C4—112no—
1523C2×C4—112no—
1524C2×C4—112no—
1525C2×C4—112no—
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—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—882no—
1558C2×C4—882no—
1559C2×C4—882no—
1560C2×C4—882no—
1561C2×C4—882no—
1562C2×C4—882no—
1563C2×C4—882no—
1564C2×C4—882no—
1565C2×C4—882no—
1566C2×C4—882no—
1567C2×C4C22×C4×D1112yes—
1568C2×C4C22×C4×D1112yes—
1569C2×C4C22×C4×D1112yes—
1570C2×C4C22×C4×D1112yes—
1571C2×C4C22×C4×D1112yes—
1572C2×C4#6703712yes—
1573C2×C4#6704212yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
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—222no—
1598C22—222no—
1599C22—222no—
1600C22—441no—
1601C22—441no—
1602C22—441no—
1603C22—441no—
1604C22—441no—
1605C22—441no—
1606C22—441no—
1607C22—441no—
1608C22—441no—
1609C22—441no—
1610C22—441no—
1611C22—441no—
1612C22—441no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—888no—
1617C22—888no—
1618C22C23×C4×D1111yescharacteristic
1619C22C2×#6703711yescharacteristic
1620C22C2×#6704211yescharacteristic
1621C22#1062345311yescharacteristic
1622C22#1062345311yescharacteristic
1623C22D11×H(5,𝔽2)11yescharacteristic
1624C22#1062345711yescharacteristic
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—222no—
1639C4—222no—
1640C4—222no—
1641C4—222no—
1642C4—222no—
1643C4—441no—
1644C4—441no—
1645C4—441no—
1646C4—441no—
1647C4—441no—
1648C4—441no—
1649C4—441no—
1650C2—42no—
1651C2—42no—
1652C2—442no—
1653C2—442no—
1654C2—442no—
1655C2—442no—
1656C2C4×#6703711yescharacteristic
1657C2#1308182211yescharacteristic
1658C2C4×#6704211yescharacteristic
1659C2#1308312611yescharacteristic
1660C2#1308313311yescharacteristic
1661C2#1308313611yescharacteristic
1662C2#1308331111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2367C2
socle, cosocleC23×C11C25
prime radicalC2×#10623214C2
hypercenter#2367D11
hypocenterC11#34529
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2367

Complements

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

NH ≅ G/Ntype
2. #13071789C2semidirect
3. #13071788C2semidirect
4. #13071785C2semidirect
5. #13071690C2semidirect
6. #13071687C2semidirect
7. #13071685C2semidirect
8. #13071683C2semidirect
9. #13071682C2semidirect
10. #13071598C2semidirect
11. #13071598C2semidirect
12. #13071597C2semidirect
13. #13071594C2semidirect
14. #13071593C2semidirect
15. #13071592C2semidirect
16. #13071431C2semidirect
17. #13071430C2semidirect
18. #13071429C2semidirect
19. #13071429C2semidirect
20. #13071428C2semidirect
21. #13071424C2semidirect
22. #13071278C2semidirect
23. #13071275C2semidirect
24. #13071273C2semidirect
25. #13071270C2semidirect
26. #13071269C2semidirect
27. #13071269C2semidirect
28. C4×#67000C2semidirect
29. #13071157C2semidirect
30. C4×#66938C2semidirect
31. C11×#2367C2semidirect
33. C2×C4×Q8×C11C22semidirect
40. C22×(C2×D11)⋊C4C22semidirect
41. C22×(C2×D11)⋊C4C22semidirect
42. #10623214C4semidirect
45. C2×#66940C22semidirect
57. C2×C22⋊C4×D11C22semidirect
58. C2×C22⋊C4×D11C22semidirect
59. C2×C22⋊C4×D11C22semidirect
60. C2×C22⋊C4×D11C22semidirect
65. C2×C4×Dic22C22semidirect
66. C11×#391C22semidirect
68. C11×#388C22semidirect
69. C11×#388C22semidirect
70. C11×#388C22semidirect
71. C11×#388C22semidirect
72. C11×#385C22semidirect
73. C11×#385C22semidirect
74. C4×C11×C4⋊C4C22semidirect
75. C4×C11×C4⋊C4C22semidirect
76. C4×C11×C22⋊C4C22semidirect
77. C4×C11×C22⋊C4C22semidirect
78. #10622843C22semidirect
79. #10622843C22semidirect
85. #10622823C22semidirect
86. C4×C22⋊Dic11C22semidirect
87. #10622603C22semidirect
88. #10622603C22semidirect
89. #10622603C22semidirect
90. #10622603C22semidirect
91. #10622603C22semidirect
92. #10622603C22semidirect
93. #10622603C22semidirect
94. #10622603C22semidirect
95. #10622603C22semidirect
96. #10622602C22semidirect
97. #10622602C22semidirect
98. #10622602C22semidirect
99. #10622602C22semidirect
100. #10622602C22semidirect
101. #10622602C22semidirect
102. #10622602C22semidirect
105. #10622590C22semidirect
106. C4⋊C4×Dic11C22semidirect
107. #10622587C22semidirect
117. #10622568C22semidirect
118. #10622568C22semidirect
119. #10622564C22semidirect
120. #10622564C22semidirect
121. #10622564C22semidirect
122. #10622564C22semidirect
123. #10622563C22semidirect
124. #10622563C22semidirect
125. #10622559C22semidirect
126. #10622558C22semidirect
127. #10622558C22semidirect
128. #10622557C22semidirect
129. #10622557C22semidirect
130. C22⋊C4×Dic11C22semidirect
131. C22⋊C4×Dic11C22semidirect
132. C22⋊C4×Dic11C22semidirect
133. #10622553C22semidirect
134. #10622553C22semidirect
135. #10622553C22semidirect
136. #10622553C22semidirect
137. #10622553C22semidirect
138. #10622553C22semidirect
139. #10622553C22semidirect
142. C4×(C2×D11)⋊C4C22semidirect
143. C4×(C2×D11)⋊C4C22semidirect
144. C4×(C2×D11)⋊C4C22semidirect
145. C4×(C2×D11)⋊C4C22semidirect
146. C4×(C2×D11)⋊C4C22semidirect
147. C4×(C2×D11)⋊C4C22semidirect
148. C4×(C2×D11)⋊C4C22semidirect
149. C4×(C2×D11)⋊C4C22semidirect
150. C4×(C2×D11)⋊C4C22semidirect
151. #10622550C22semidirect
152. C4×C4⋊Dic11C22semidirect
153. C4×Dic11⋊C4C22semidirect
154. C42×Dic11C22semidirect
155. #10622542C22semidirect
156. #10622283C22semidirect
157. #10622283C22semidirect
158. #10622283C22semidirect
159. #10622282C22semidirect
160. #10622282C22semidirect
161. #10622282C22semidirect
162. #10622282C22semidirect
163. #10622282C22semidirect
164. #10622281C22semidirect
165. #10622281C22semidirect
166. #10622281C22semidirect
167. #10622281C22semidirect
168. #10622281C22semidirect
169. #10622279C22semidirect
170. #10622279C22semidirect
171. #10622279C22semidirect
180. #10622264C22semidirect
181. #10622263C22semidirect
182. #10622263C22semidirect
183. #10622262C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
214. C11×#124C2×C4semidirect
248. #67000C2×C4semidirect
249. #67000C2×C4semidirect
250. #66990C2×C4semidirect
251. #66990C2×C4semidirect
320. #66938C2×C4semidirect
321. #66938C2×C4semidirect
322. #66938C2×C4semidirect
323. #66938C2×C4semidirect
324. #66935C2×C4semidirect
325. #66935C2×C4semidirect
326. #66935C2×C4semidirect
327. #66935C2×C4semidirect
335. #66928C2×C4semidirect
336. #66928C2×C4semidirect
596. #2367D11semidirect
792. C2×C4×Q8C2×D11semidirect
816. #391C2×D11semidirect
858. #388C2×D11semidirect
859. #388C2×D11semidirect
860. #388C2×D11semidirect
861. #388C2×D11semidirect
896. #385C2×D11semidirect
897. #385C2×D11semidirect
909. C4×C4⋊C4C2×D11semidirect
910. C4×C4⋊C4C2×D11semidirect
927. C4×C22⋊C4C2×D11semidirect
928. C4×C22⋊C4C2×D11semidirect
1040. #124C4×D11semidirect
1417. C11#34529semidirect

Maximal subgroups

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

subgroupindex
C2×#106232142
#130717892
#130717882
#130717852
#130716902
#130716872
#130716852
#130716832
#130716822
#130715982
#130715972
#130715942
#130715932
#130715922
#130714312
#130714302
#130714292
#130714282
#130714242
#130712782
#130712752
#130712732
#130712702
#130712692
C4×#670002
#130711572
C4×#669382
C11×#23672
#3452911