Finite Group Databasebeta

← #14918297

Subgroups — #14918297

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×#10623122C211yesmaximal, characteristic
2#13071789C211yesmaximal, characteristic, complemented
3#13071774C211yesmaximal, characteristic, complemented
4#13071767C211yesmaximal, characteristic, complemented
5#13071762C211yesmaximal, characteristic, complemented
6#13071697C211yesmaximal, characteristic, complemented
7#13071628C211yesmaximal, characteristic, complemented
8#13071609C211yesmaximal, characteristic, complemented
9#13071596C211yesmaximal, characteristic, complemented
10#13071544C211yesmaximal, characteristic, complemented
11#13071521C211yesmaximal, characteristic, complemented
12#13071461C211yesmaximal, characteristic, complemented
13#13071459C211yesmaximal, characteristic, complemented
14#13071442C211yesmaximal, characteristic, complemented
15C22⋊C4×C22⋊D11C211yesmaximal, characteristic, complemented
16#13071424C211yesmaximal, characteristic, complemented
17#13071399C211yesmaximal, characteristic, complemented
18#13071344C211yesmaximal, characteristic, complemented
19#13071318C211yesmaximal, characteristic, complemented
20#13071314C211yesmaximal, characteristic, complemented
21#13071306C211yesmaximal, characteristic, complemented
22#13071283C211yesmaximal, characteristic, complemented
23#13071277C211yesmaximal, characteristic, complemented
24#13071246C211yesmaximal, characteristic, complemented
25#13071242C211yesmaximal, characteristic, complemented
26#13071228C211yesmaximal, characteristic, complemented
27#13071206C211yesmaximal, characteristic, complemented
28C4×#66990C211yesmaximal, characteristic, complemented
29C2×#10622569C211yesmaximal, characteristic, complemented
30D11×#385C211yesmaximal, characteristic, complemented
31C11×#2358C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic, complemented
38C22×C11×C22⋊C4C2211yescharacteristic
39C22×C11×C22⋊C4C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C22×C22⋊Dic11C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66991C2211yescharacteristic
45C2×#66990C2211yescharacteristic
46C2×D4×Dic11C2211yescharacteristic
47C2×D4×Dic11C2211yescharacteristic
48C2×C4×C22⋊D11C2211yescharacteristic
49C2×C4×C22⋊D11C2211yescharacteristic
50C2×C4×C22⋊D11C2211yescharacteristic, complemented
51C2×C4×C22⋊D11C2211yescharacteristic, complemented
52C22×(C2×D11)⋊C4C2211yescharacteristic
53#10623122C4116yescomplemented
54C2×C4⋊C4×D11C2211yescharacteristic, complemented
55C2×C4⋊C4×D11C2211yescharacteristic, complemented
56C2×#66939C2211yescharacteristic
57C2×#66938C2211yescharacteristic
58C2×#66936C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
61C2×C22⋊C4×D11C2211yescharacteristic
62C2×C22⋊C4×D11C2211yescharacteristic
63C2×#66931C2211yescharacteristic
64C2×#66930C2211yescharacteristic, complemented
65C2×#66925C2211yescharacteristic, complemented
66C11×#390C2211yescharacteristic, complemented
67C11×#388C2211yescharacteristic, complemented
68C11×#388C2211yescharacteristic, complemented
69C11×#386C2211yescharacteristic
70C11×#386C2211yescharacteristic, complemented
71C11×#386C2211yescharacteristic, complemented
72C11×#385C2211yescharacteristic
73C11×#385C2211yescharacteristic, complemented
74C4×C11×C22⋊C4C2211yescharacteristic
75C4×C11×C22⋊C4C2211yescharacteristic, complemented
76#10622860C2211yescharacteristic
77#10622834C2211yescharacteristic, complemented
78#10622834C2211yescharacteristic, complemented
79#10622833C2211yescharacteristic
80#10622833C2211yescharacteristic, complemented
81#10622833C2211yescharacteristic, complemented
82#10622826C2211yescharacteristic
83#10622826C2211yescharacteristic
84#10622823C2211yescharacteristic
85#10622823C2211yescharacteristic
86#10622823C2211yescharacteristic, complemented
87#10622823C2211yescharacteristic, complemented
88#10622823C2211yescharacteristic, complemented
89#10622823C2211yescharacteristic, complemented
90#10622823C2211yescharacteristic, complemented
91C4×C22⋊Dic11C2211yescharacteristic
92C4×C22⋊Dic11C2211yescharacteristic
93C2×C11⋊#95C2211yescharacteristic
94C2×C11⋊#95C2211yescharacteristic
95C2×C11⋊#95C2211yescharacteristic, complemented
96#10622602C2211yescharacteristic, complemented
97#10622602C2211yescharacteristic, complemented
98#10622602C2211yescharacteristic, complemented
99#10622602C2211yescharacteristic, complemented
100#10622591C2211yescharacteristic, complemented
101#10622591C2211yescharacteristic, complemented
102#10622590C2211yescharacteristic, complemented
103C4⋊C4×Dic11C2211yescharacteristic, complemented
104#10622587C2211yescharacteristic, complemented
105#10622586C2211yescharacteristic, complemented
106#10622571C2211yescharacteristic, complemented
107#10622570C2211yescharacteristic
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic, complemented
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic, complemented
121#10622569C2211yescharacteristic, complemented
122#10622569C2211yescharacteristic, complemented
123#10622568C2211yescharacteristic
124#10622564C2211yescharacteristic, complemented
125#10622564C2211yescharacteristic, complemented
126#10622564C2211yescharacteristic, complemented
127#10622564C2211yescharacteristic, complemented
128#10622563C2211yescharacteristic
129#10622559C2211yescharacteristic
130#10622559C2211yescharacteristic
131#10622559C2211yescharacteristic
132#10622559C2211yescharacteristic
133#10622559C2211yescharacteristic, complemented
134#10622558C2211yescharacteristic, complemented
135#10622558C2211yescharacteristic, complemented
136#10622558C2211yescharacteristic, complemented
137#10622557C2211yescharacteristic, complemented
138#10622557C2211yescharacteristic, complemented
139#10622557C2211yescharacteristic, complemented
140#10622556C2211yescharacteristic, complemented
141#10622556C2211yescharacteristic, complemented
142#10622555C2211yescharacteristic
143#10622555C2211yescharacteristic, complemented
144#10622555C2211yescharacteristic, complemented
145#10622555C2211yescharacteristic, complemented
146#10622555C2211yescharacteristic, complemented
147#10622555C2211yescharacteristic, complemented
148#10622555C2211yescharacteristic, complemented
149#10622555C2211yescharacteristic, complemented
150C22⋊C4×Dic11C2211yescharacteristic
151C22⋊C4×Dic11C2211yescharacteristic
152C22⋊C4×Dic11C2211yescharacteristic, complemented
153#10622553C2211yescharacteristic, complemented
154#10622553C2211yescharacteristic, complemented
155C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
156C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
158#10622546C2211yescharacteristic, complemented
159#10622546C2211yescharacteristic, complemented
160C4×Dic11⋊C4C2211yescharacteristic, complemented
161#10622542C2211yescharacteristic, complemented
162#10622541C2211yescharacteristic, complemented
163#10622541C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic, complemented
166#10622282C2211yescharacteristic, complemented
167#10622282C2211yescharacteristic, complemented
168#10622281C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic, complemented
170#10622281C2211yescharacteristic, complemented
171#10622280C2211yescharacteristic, complemented
172#10622279C2211yescharacteristic, complemented
173#10622277C2211yescharacteristic, complemented
174D11×#95C2211yescharacteristic, complemented
175D11×#95C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622267C2211yescharacteristic, complemented
178#10622267C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C22×C22⋊D11—42no—
199C22×C22⋊D11—42no—
200C22×C22⋊D11C2×C418yescomplemented
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C2×#4341—42no—
215C2×#4341—42no—
216C2×#4341C2×C418yescomplemented
217C22×C4×D11—42no—
218C22×C4×D11—42no—
219C22×C4×D11—42no—
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×#120C2×C418yescomplemented
230C4×D4×C11—42no—
231C4×D4×C11—42no—
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4—42no—
236C2×C11×C22⋊C4—42no—
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×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C42×C11C2311yescharacteristic
252C2×C42×C11C2311yescharacteristic
253C2×C42×C11C2311yescharacteristic
254C2×C22⋊Dic11—42no—
255C2×C22⋊Dic11C2×C418yescomplemented
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274#66992C2×C418yescomplemented
275#66992C2×C418yescomplemented
276#66991C2×C418yescomplemented
277#66990C2×C418yescomplemented
278D4×Dic11—42no—
279D4×Dic11C2×C418yescomplemented
280C4×C22⋊D11—42no—
281C4×C22⋊D11—42no—
282C4×C22⋊D11—42no—
283C4×C22⋊D11—42no—
284C2×(C2×D11)⋊C4—42no—
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C4⋊C4×D11—42no—
331C4⋊C4×D11—42no—
332#66939C2×C418yescomplemented
333#66938C2×C418yescomplemented
334#66936C2×C418yescomplemented
335(C22⋊D11)⋊C4—42no—
336(C22⋊D11)⋊C4C2×C418yescomplemented
337C22⋊C4×D11—42no—
338C22⋊C4×D11C2×C418yescomplemented
339#66931C2×C418yescomplemented
340#66930—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×C11—22no—
384C24×C11—22no—
385C24×C11—41no—
386C24×C11—41no—
387C24×C11—41no—
388C24×C11—41no—
389C24×C11C22×C414yes—
390C24×C11C2411yescharacteristic
391C24×C11C2411yescharacteristic
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11C22×C414yes—
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11C22×C414yes—
410C2×D4×C11C22×C414yescomplemented
411C2×D4×C11C22×C414yescomplemented
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—416no—
451C2×C22⋊D11C22×C414yes—
452C2×C22⋊D11C22×C414yes—
453C2×C22⋊D11C22×C414yes—
454C2×C22⋊D11C22×C414yes—
455C2×C22⋊D11C22×C414yes—
456C2×C22⋊D11C22×C414yes—
457C22×Dic11—22no—
458C22×Dic11—22no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11—41no—
462C22×Dic11—41no—
463C22×Dic11—41no—
464C22×Dic11—41no—
465C22×Dic11—41no—
466C22×Dic11—41no—
467C22×Dic11—41no—
468C22×Dic11—41no—
469C22×Dic11—41no—
470C22×Dic11—41no—
471C22×Dic11—41no—
472C22×Dic11—41no—
473C22×Dic11—41no—
474C22×Dic11C22×C414yes—
475C22×Dic11C22×C414yescomplemented
476C22×Dic11C22×C414yescomplemented
477C22×Dic11C22×C414yescomplemented
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492#4341—416no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
495C2×C4×D11—22no—
496C2×C4×D11—22no—
497C2×C4×D11—22no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
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—41no—
515C2×C4×D11—416no—
516C2×C4×D11C22×C414yes—
517C2×C4×D11C22×C414yes—
518C2×Dic22—41no—
519C2×Dic22—41no—
520C2×Dic22C22×C414yescomplemented
521C11×C4⋊C4—22no—
522C11×C4⋊C4—41no—
523C11×C4⋊C4—41no—
524C11×C22⋊C4—22no—
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
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⋊C4C22×C414yes—
536C11×C22⋊C4C22×C414yescomplemented
537C11×C22⋊C4C22×C414yescomplemented
538C42×C11—41no—
539C42×C11—41no—
540C42×C11—41no—
541C22⋊Dic11—22no—
542C22⋊Dic11—22no—
543C22⋊Dic11—41no—
544C22⋊Dic11—41no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11—41no—
548C22⋊Dic11—41no—
549C22⋊Dic11—41no—
550C22⋊Dic11—41no—
551C22⋊Dic11—41no—
552C22⋊Dic11—41no—
553C22⋊Dic11—41no—
554C22⋊Dic11C22×C414yes—
555C22⋊Dic11C22×C414yes—
556C22⋊Dic11C22×C414yescomplemented
557C22⋊Dic11C22×C414yescomplemented
558C22⋊Dic11C22×C414yescomplemented
559(C2×D11)⋊C4—22no—
560(C2×D11)⋊C4—22no—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—41no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4—41no—
566(C2×D11)⋊C4—41no—
567(C2×D11)⋊C4—41no—
568(C2×D11)⋊C4—41no—
569(C2×D11)⋊C4C22×C414yes—
570(C2×D11)⋊C4C22×C414yes—
571(C2×D11)⋊C4C22×C414yes—
572(C2×D11)⋊C4C22×C414yes—
573C4⋊Dic11—41no—
574C4⋊Dic11—41no—
575C4⋊Dic11—41no—
576C4⋊Dic11C22×C414yescomplemented
577C4⋊Dic11C22×C414yescomplemented
578Dic11⋊C4—22no—
579Dic11⋊C4—41no—
580Dic11⋊C4—41no—
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⋊C4—41no—
591Dic11⋊C4—41no—
592Dic11⋊C4C22×C414yescomplemented
593Dic11⋊C4C22×C414yescomplemented
594C4×Dic11—22no—
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#2377—111no—
608#2376—111no—
609#2368—111no—
610#2361—111no—
611#2359—111no—
612#2358—111no—
613#2358D1111yescharacteristic, complemented
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×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—28no—
658C23×C11—44no—
659C23×C11—44no—
660C23×C11—82no—
661C23×C11—82no—
662C23×C11—82no—
663C23×C11—82no—
664C23×C11C23×C412yes—
665C23×C11C23×C412yes—
666C23×C11C23×C412yes—
667C23×C11C23×C412yes—
668C23×C11H(5,𝔽2)12yes—
669C23×C112−1+412yes—
670C23×C11C2511yescharacteristic
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—28no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—28no—
683C22×D11—44no—
684C22×D11—44no—
685C22×D11—44no—
686C22×D11—44no—
687C22×D11—44no—
688C22×D11C23×C412yes—
689C22×D11C23×C412yes—
690C22×D11H(5,𝔽2)12yes—
691C22×D11H(5,𝔽2)12yes—
692D4×C11—28no—
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—44no—
725C2×C4×C11—82no—
726C2×C4×C11—82no—
727C2×C4×C11—82no—
728C2×C4×C11—82no—
729C2×C4×C11C23×C412yes—
730C2×C4×C11C23×C412yes—
731C2×C4×C11C23×C412yes—
732C2×C4×C11H(5,𝔽2)12yes—
733C22⋊D11—28no—
734C22⋊D11—28no—
735C22⋊D11—28no—
736C22⋊D11—44no—
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—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—44no—
776C2×Dic11—44no—
777C2×Dic11—44no—
778C2×Dic11—44no—
779C2×Dic11—44no—
780C2×Dic11—82no—
781C2×Dic11—82no—
782C2×Dic11C23×C412yes—
783C2×Dic11C23×C412yes—
784C2×Dic11C23×C412yes—
785C2×Dic11C23×C412yes—
786C2×Dic11C23×C412yes—
787C2×Dic11C23×C412yes—
788C4×D11—28no—
789C4×D11—44no—
790C4×D11—44no—
791C4×D11—44no—
792C4×D11—44no—
793C4×D11—44no—
794C4×D11—82no—
795C4×D11—82no—
796Dic22—44no—
797C22×#41—111no—
798C23×D4—111no—
799C24×C4—111no—
800#546—1116no—
801C2×#124—111no—
802C2×#123—111no—
803C2×#123—111no—
804C2×C22⋊Q8—111no—
805C2×#121—111no—
806C2×#121—111no—
807C2×#121—111no—
808C2×#120—111no—
809C2×#120C2×D1111yescharacteristic
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×D4C2×D1111yescharacteristic
819C2×C4×D4C2×D1111yescharacteristic, complemented
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⋊C4C2×D1111yescharacteristic
830C22×C22⋊C4C2×D1111yescharacteristic
831#391—111no—
832#391—111no—
833#391—111no—
834#391—111no—
835#390—111no—
836#390—111no—
837#390—111no—
838#390—111no—
839#390—111no—
840#390C2×D1111yescharacteristic, complemented
841#389—111no—
842#389—111no—
843#389—111no—
844#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#387—111no—
872#387—111no—
873#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386—111no—
878#386—111no—
879#386—111no—
880#386—111no—
881#386—111no—
882#386—111no—
883#386—111no—
884#386—111no—
885#386—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386C2×D1111yescharacteristic
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
916#385C2×D1111yescharacteristic, complemented
917#383—111no—
918#382—111no—
919#382—111no—
920#381—111no—
921#381—111no—
922#381—111no—
923#380—111no—
924#380—111no—
925#380—111no—
926#380—111no—
927#380—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#380—111no—
932#379—111no—
933#379—111no—
934C4×C4⋊C4—111no—
935C4×C4⋊C4—111no—
936C4×C4⋊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⋊C4C2×D1111yescharacteristic
947C4×C22⋊C4C2×D1111yescharacteristic, complemented
948C2×#95—111no—
949C2×#95—111no—
950C2×#95—111no—
951C2×#95—111no—
952C2×#95—111no—
953C22×C11—22no—
954C22×C11—22no—
955C22×C11—22no—
956C22×C11—22no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
960C22×C11—22no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—22no—
964C22×C11—22no—
965C22×C11—22no—
966C22×C11—22no—
967C22×C11—22no—
968C22×C11—41no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11—41no—
974C22×C11—41no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—88no—
981C22×C11#52014yes—
982C22×C11C24×C411yescharacteristic
983C22×C11C2×H(5,𝔽2)11yescharacteristic
984C22×C11C2×H(5,𝔽2)11yescharacteristic
985C22×C11C2×H(5,𝔽2)11yescharacteristic
986C22×C11C2×H(5,𝔽2)11yescharacteristic
987C22×C11C2×2−1+411yescharacteristic
988C22×C11#58511yescharacteristic
989C2×D11—22no—
990C2×D11—22no—
991C2×D11—22no—
992C2×D11—22no—
993C2×D11—22no—
994C2×D11—22no—
995C2×D11—22no—
996C2×D11—22no—
997C2×D11—22no—
998C2×D11—416no—
999C2×D11—41no—
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—41no—
1003C2×D11#51814yes—
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—
1015Dic11—22no—
1016Dic11—22no—
1017Dic11—22no—
1018Dic11—22no—
1019Dic11—22no—
1020Dic11—22no—
1021Dic11—41no—
1022Dic11—41no—
1023Dic11—41no—
1024Dic11—41no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029C25—111no—
1030C25C22×D1111yescharacteristic
1031C2×#41—118no—
1032C2×#41—442no—
1033C2×#41—442no—
1034C22×Q8—111no—
1035C22×D4—111no—
1036C22×D4—111no—
1037C22×D4—111no—
1038C22×D4—118no—
1039C22×D4—111no—
1040C22×D4—111no—
1041C22×D4—111no—
1042C22×D4—442no—
1043C22×D4—442no—
1044C22×D4C22×D1111yescharacteristic
1045C22×D4C22×D1111yescharacteristic
1046C22×D4C22×D1111yescharacteristic
1047C23×C4—111no—
1048C23×C4—111no—
1049C23×C4—111no—
1050C23×C4—111no—
1051C23×C4—111no—
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—111no—
1061C23×C4—111no—
1062C23×C4—442no—
1063C23×C4—442no—
1064C23×C4—442no—
1065C23×C4C22×D1111yescharacteristic
1066C23×C4C22×D1111yescharacteristic
1067C23×C4C22×D1111yescharacteristic
1068C23×C4C22×D1111yescharacteristic
1069C23×C4C22×D1111yescharacteristic
1070#124—118no—
1071#123—118no—
1072#123—118no—
1073C22⋊Q8—118no—
1074#121—118no—
1075#121—118no—
1076#121—118no—
1077#120—118no—
1078#120C4×D1118yescomplemented
1079C4×D4—42no—
1080C4×D4—42no—
1081C4×D4—118no—
1082C4×D4—118no—
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—111no—
1111C2×C4⋊C4—111no—
1112C2×C4⋊C4—442no—
1113C2×C4⋊C4—442no—
1114C2×C4⋊C4C22×D1111yescharacteristic
1115C2×C4⋊C4C22×D1111yescharacteristic
1116C2×C4⋊C4C22×D1111yescharacteristic
1117C2×C22⋊C4—42no—
1118C2×C22⋊C4—42no—
1119C2×C22⋊C4—118no—
1120C2×C22⋊C4—111no—
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—111no—
1129C2×C22⋊C4—118no—
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⋊C4C22×D1111yescharacteristic
1157C2×C22⋊C4C22×D1111yescharacteristic
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×C42C22×D1111yescharacteristic
1181C2×C42C22×D1111yescharacteristic
1182C2×C42C22×D1111yescharacteristic
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95C22×D1111yescharacteristic
1218#95C22×D1111yescharacteristic
1219#95C22×D1111yescharacteristic
1220#95C22×D1111yescharacteristic
1221#95C22×D1111yescharacteristic
1222#95C22×D1111yescharacteristic
1223C2×C11—24no—
1224C2×C11—42no—
1225C2×C11—42no—
1226C2×C11—42no—
1227C2×C11C2×#51811yescharacteristic
1228C2×C11C2×#52011yescharacteristic
1229C2×C11C4×H(5,𝔽2)11yescharacteristic
1230C2×C11#353211yescharacteristic
1231C2×C11#353411yescharacteristic
1232C2×C11#353511yescharacteristic
1233C2×C11#353611yescharacteristic
1234D11—24no—
1235D11—42no—
1236C24—22no—
1237C24—22no—
1238C24—41no—
1239C24—41no—
1240C24—41no—
1241C24—41no—
1242C24—111no—
1243C24—111no—
1244C24—114no—
1245C24—222no—
1246C24—222no—
1247C24—222no—
1248C24—222no—
1249C24—441no—
1250C24—441no—
1251C24C2×C4×D1114yes—
1252C24C23×D1111yescharacteristic
1253C24C23×D1111yescharacteristic
1254C24C23×D1111yescharacteristic
1255C24C23×D1111yescharacteristic
1256#41—4416no—
1257C2×Q8—114no—
1258C2×Q8—441no—
1259C2×Q8—441no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—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—441no—
1279C2×D4—441no—
1280C2×D4—441no—
1281C2×D4—441no—
1282C2×D4—441no—
1283C2×D4—441no—
1284C2×D4—4416no—
1285C2×D4C2×C4×D1114yes—
1286C2×D4C2×C4×D1114yescomplemented
1287C2×D4C2×C4×D1114yescomplemented
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—111no—
1304C22×C4—111no—
1305C22×C4—111no—
1306C22×C4—111no—
1307C22×C4—111no—
1308C22×C4—111no—
1309C22×C4—114no—
1310C22×C4—114no—
1311C22×C4—114no—
1312C22×C4—114no—
1313C22×C4—114no—
1314C22×C4—114no—
1315C22×C4—111no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—111no—
1323C22×C4—222no—
1324C22×C4—222no—
1325C22×C4—222no—
1326C22×C4—222no—
1327C22×C4—222no—
1328C22×C4—222no—
1329C22×C4—222no—
1330C22×C4—222no—
1331C22×C4—222no—
1332C22×C4—222no—
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—4416no—
1348C22×C4—441no—
1349C22×C4—441no—
1350C22×C4—441no—
1351C22×C4—441no—
1352C22×C4—441no—
1353C22×C4—441no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4—441no—
1358C22×C4—441no—
1359C22×C4—441no—
1360C22×C4—441no—
1361C22×C4—441no—
1362C22×C4—441no—
1363C22×C4C23×D1111yescharacteristic
1364C22×C4C23×D1111yescharacteristic
1365C22×C4C23×D1111yescharacteristic
1366C22×C4C23×D1111yescharacteristic
1367C22×C4C23×D1111yescharacteristic
1368C22×C4C23×D1111yescharacteristic
1369C22×C4C23×D1111yescharacteristic
1370C22×C4C23×D1111yescharacteristic
1371C22×C4C23×D1111yescharacteristic
1372C22×C4C23×D1111yescharacteristic
1373C22×C4C23×D1111yescharacteristic
1374C4⋊C4—22no—
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—114no—
1378C4⋊C4—114no—
1379C4⋊C4—114no—
1380C4⋊C4—114no—
1381C4⋊C4—222no—
1382C4⋊C4—441no—
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⋊C4—441no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
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—441no—
1425C22⋊C4—441no—
1426C22⋊C4—441no—
1427C22⋊C4—441no—
1428C22⋊C4—441no—
1429C22⋊C4—441no—
1430C22⋊C4—441no—
1431C22⋊C4—441no—
1432C22⋊C4—441no—
1433C22⋊C4—441no—
1434C22⋊C4—441no—
1435C22⋊C4—441no—
1436C22⋊C4—441no—
1437C22⋊C4—441no—
1438C22⋊C4—441no—
1439C22⋊C4—441no—
1440C22⋊C4—441no—
1441C22⋊C4C2×C4×D1114yes—
1442C22⋊C4C2×C4×D1114yescomplemented
1443C22⋊C4C2×C4×D1114yescomplemented
1444C42—41no—
1445C42—41no—
1446C42—41no—
1447C42—114no—
1448C42—222no—
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—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—28no—
1481C23—44no—
1482C23—44no—
1483C23—82no—
1484C23—82no—
1485C23—82no—
1486C23—82no—
1487C23—112no—
1488C23—112no—
1489C23—112no—
1490C23—112no—
1491C23—228no—
1492C23—221no—
1493C23—221no—
1494C23—221no—
1495C23—221no—
1496C23—228no—
1497C23—221no—
1498C23—221no—
1499C23—221no—
1500C23—221no—
1501C23—221no—
1502C23—221no—
1503C23—444no—
1504C23—444no—
1505C23—444no—
1506C23—444no—
1507C23—444no—
1508C23C22×C4×D1112yes—
1509C23C22×C4×D1112yes—
1510C23C22×C4×D1112yes—
1511C23C22×C4×D1112yes—
1512C23#6703712yes—
1513C23#6704312yes—
1514C23C24×D1111yescharacteristic
1515Q8—444no—
1516D4—28no—
1517D4—44no—
1518D4—44no—
1519D4—228no—
1520D4—228no—
1521D4—228no—
1522D4—444no—
1523D4—444no—
1524D4—444no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—44no—
1555C2×C4—82no—
1556C2×C4—82no—
1557C2×C4—82no—
1558C2×C4—82no—
1559C2×C4—112no—
1560C2×C4—112no—
1561C2×C4—112no—
1562C2×C4—112no—
1563C2×C4—112no—
1564C2×C4—112no—
1565C2×C4—228no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—221no—
1599C2×C4—221no—
1600C2×C4—221no—
1601C2×C4—221no—
1602C2×C4—444no—
1603C2×C4—444no—
1604C2×C4—444no—
1605C2×C4—444no—
1606C2×C4—444no—
1607C2×C4—444no—
1608C2×C4—444no—
1609C2×C4—444no—
1610C2×C4—444no—
1611C2×C4—444no—
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×C4#6703712yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—88no—
1648C22—114no—
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#1062307714yes—
1664C22C23×C4×D1111yescharacteristic
1665C22C2×#6703711yescharacteristic
1666C22C2×#6703711yescharacteristic
1667C22C2×#6704311yescharacteristic
1668C22#1062345311yescharacteristic
1669C22D11×H(5,𝔽2)11yescharacteristic
1670C22D11×H(5,𝔽2)11yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—222no—
1683C4—222no—
1684C4—222no—
1685C4—222no—
1686C4—222no—
1687C4—222no—
1688C4—441no—
1689C4—441no—
1690C4—441no—
1691C4—441no—
1692C4—441no—
1693C4—441no—
1694C4—441no—
1695C4—441no—
1696C2—24no—
1697C2—42no—
1698C2—42no—
1699C2—42no—
1700C2—224no—
1701C2—442no—
1702C2D11×#51811yescharacteristic
1703C2C2×#1062307711yescharacteristic
1704C2C4×#6703711yescharacteristic
1705C2#1308276611yescharacteristic
1706C2#1308279811yescharacteristic
1707C2#1308281211yescharacteristic
1708C2#1308283611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2358C2
socle, cosocleC23×C11C25
prime radicalC2×#10623122C2
hypercenter#2358D11
hypocenterC11#34456
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. #13071789C2semidirect
3. #13071774C2semidirect
4. #13071767C2semidirect
5. #13071762C2semidirect
6. #13071697C2semidirect
7. #13071628C2semidirect
8. #13071609C2semidirect
9. #13071596C2semidirect
10. #13071544C2semidirect
11. #13071521C2semidirect
12. #13071461C2semidirect
13. #13071459C2semidirect
14. #13071442C2semidirect
15. C22⋊C4×C22⋊D11C2semidirect
16. #13071424C2semidirect
17. #13071399C2semidirect
18. #13071344C2semidirect
19. #13071318C2semidirect
20. #13071314C2semidirect
21. #13071306C2semidirect
22. #13071283C2semidirect
23. #13071277C2semidirect
24. #13071246C2semidirect
25. #13071242C2semidirect
26. #13071228C2semidirect
27. #13071206C2semidirect
28. C4×#66990C2semidirect
29. C2×#10622569C2semidirect
30. D11×#385C2semidirect
31. C11×#2358C2semidirect
37. C2×C4×D4×C11C22semidirect
50. C2×C4×C22⋊D11C22semidirect
51. C2×C4×C22⋊D11C22semidirect
53. #10623122C4semidirect
54. C2×C4⋊C4×D11C22semidirect
55. C2×C4⋊C4×D11C22semidirect
60. C2×(C22⋊D11)⋊C4C22semidirect
64. C2×#66930C22semidirect
65. C2×#66925C22semidirect
66. C11×#390C22semidirect
67. C11×#388C22semidirect
68. C11×#388C22semidirect
70. C11×#386C22semidirect
71. C11×#386C22semidirect
73. C11×#385C22semidirect
75. C4×C11×C22⋊C4C22semidirect
77. #10622834C22semidirect
78. #10622834C22semidirect
80. #10622833C22semidirect
81. #10622833C22semidirect
86. #10622823C22semidirect
87. #10622823C22semidirect
88. #10622823C22semidirect
89. #10622823C22semidirect
90. #10622823C22semidirect
95. C2×C11⋊#95C22semidirect
96. #10622602C22semidirect
97. #10622602C22semidirect
98. #10622602C22semidirect
99. #10622602C22semidirect
100. #10622591C22semidirect
101. #10622591C22semidirect
102. #10622590C22semidirect
103. C4⋊C4×Dic11C22semidirect
104. #10622587C22semidirect
105. #10622586C22semidirect
106. #10622571C22semidirect
109. #10622570C22semidirect
120. #10622569C22semidirect
121. #10622569C22semidirect
122. #10622569C22semidirect
124. #10622564C22semidirect
125. #10622564C22semidirect
126. #10622564C22semidirect
127. #10622564C22semidirect
133. #10622559C22semidirect
134. #10622558C22semidirect
135. #10622558C22semidirect
136. #10622558C22semidirect
137. #10622557C22semidirect
138. #10622557C22semidirect
139. #10622557C22semidirect
140. #10622556C22semidirect
141. #10622556C22semidirect
143. #10622555C22semidirect
144. #10622555C22semidirect
145. #10622555C22semidirect
146. #10622555C22semidirect
147. #10622555C22semidirect
148. #10622555C22semidirect
149. #10622555C22semidirect
152. C22⋊C4×Dic11C22semidirect
153. #10622553C22semidirect
154. #10622553C22semidirect
155. C4×(C2×D11)⋊C4C22semidirect
156. C4×(C2×D11)⋊C4C22semidirect
157. C4×(C2×D11)⋊C4C22semidirect
158. #10622546C22semidirect
159. #10622546C22semidirect
160. C4×Dic11⋊C4C22semidirect
161. #10622542C22semidirect
162. #10622541C22semidirect
163. #10622541C22semidirect
164. #10622283C22semidirect
165. #10622282C22semidirect
166. #10622282C22semidirect
167. #10622282C22semidirect
168. #10622281C22semidirect
169. #10622281C22semidirect
170. #10622281C22semidirect
171. #10622280C22semidirect
172. #10622279C22semidirect
173. #10622277C22semidirect
174. D11×#95C22semidirect
175. D11×#95C22semidirect
176. #10622268C22semidirect
177. #10622267C22semidirect
178. #10622267C22semidirect
179. #10622266C22semidirect
180. #10622266C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622263C22semidirect
184. #10622262C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
200. C22×C22⋊D11C2×C4semidirect
216. C2×#4341C2×C4semidirect
229. C11×#120C2×C4semidirect
255. C2×C22⋊Dic11C2×C4semidirect
274. #66992C2×C4semidirect
275. #66992C2×C4semidirect
276. #66991C2×C4semidirect
277. #66990C2×C4semidirect
279. D4×Dic11C2×C4semidirect
332. #66939C2×C4semidirect
333. #66938C2×C4semidirect
334. #66936C2×C4semidirect
336. (C22⋊D11)⋊C4C2×C4semidirect
338. C22⋊C4×D11C2×C4semidirect
339. #66931C2×C4semidirect
410. C2×D4×C11C22×C4semidirect
411. C2×D4×C11C22×C4semidirect
475. C22×Dic11C22×C4semidirect
476. C22×Dic11C22×C4semidirect
477. C22×Dic11C22×C4semidirect
520. C2×Dic22C22×C4semidirect
536. C11×C22⋊C4C22×C4semidirect
537. C11×C22⋊C4C22×C4semidirect
556. C22⋊Dic11C22×C4semidirect
557. C22⋊Dic11C22×C4semidirect
558. C22⋊Dic11C22×C4semidirect
576. C4⋊Dic11C22×C4semidirect
577. C4⋊Dic11C22×C4semidirect
592. Dic11⋊C4C22×C4semidirect
593. Dic11⋊C4C22×C4semidirect
603. C4×Dic11C22×C4semidirect
613. #2358D11semidirect
819. C2×C4×D4C2×D11semidirect
840. #390C2×D11semidirect
861. #388C2×D11semidirect
862. #388C2×D11semidirect
893. #386C2×D11semidirect
894. #386C2×D11semidirect
916. #385C2×D11semidirect
947. C4×C22⋊C4C2×D11semidirect
1078. #120C4×D11semidirect
1286. C2×D4C2×C4×D11semidirect
1287. C2×D4C2×C4×D11semidirect
1442. C22⋊C4C2×C4×D11semidirect
1443. C22⋊C4C2×C4×D11semidirect
1457. C11#34456semidirect

Maximal subgroups

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

subgroupindex
C2×#106231222
#130717892
#130717742
#130717672
#130717622
#130716972
#130716282
#130716092
#130715962
#130715442
#130715212
#130714612
#130714592
#130714422
C22⋊C4×C22⋊D112
#130714242
#130713992
#130713442
#130713182
#130713142
#130713062
#130712832
#130712772
#130712462
#130712422
#130712282
#130712062
C4×#669902
C2×#106225692
D11×#3852
C11×#23582
#3445611