Finite Group Databasebeta

← #14914860

Subgroups — #14914860

Order 2816.

2718 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623076C211yesmaximal, characteristic
2#13071586C211yesmaximal, characteristic, complemented
3#13071562C211yesmaximal, characteristic, complemented
4#13071555C211yesmaximal, characteristic, complemented
5#13071545C211yesmaximal, characteristic, complemented
6#13071540C211yesmaximal, characteristic, complemented
7#13071523C211yesmaximal, characteristic, complemented
8#13071512C211yesmaximal, characteristic, complemented
9#13071504C211yesmaximal, characteristic, complemented
10#13071502C211yesmaximal, characteristic, complemented
11#13071468C211yesmaximal, characteristic, complemented
12#13071459C211yesmaximal, characteristic, complemented
13#13071459C211yesmaximal, characteristic, complemented
14#13071458C211yesmaximal, characteristic, complemented
15#13071434C211yesmaximal, characteristic
16#13071434C211yesmaximal, characteristic
17#13071256C211yesmaximal, characteristic, complemented
18#13071247C211yesmaximal, characteristic, complemented
19#13071242C211yesmaximal, characteristic, complemented
20#13071222C211yesmaximal, characteristic, complemented
21#13071213C211yesmaximal, characteristic, complemented
22#13071210C211yesmaximal, characteristic, complemented
23#13071108C211yesmaximal, characteristic, complemented
24#13071079C211yesmaximal, characteristic, complemented
25#13071060C211yesmaximal, characteristic, complemented
26#13071056C211yesmaximal, characteristic, complemented
27C2×#10622283C211yesmaximal, characteristic, complemented
28D11×#388C211yesmaximal, characteristic, complemented
29#13070975C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2353C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×D4×Dic11C2211yescharacteristic
35C2×C4×C22⋊D11C2211yescharacteristic
36C2×C4×C22⋊D11C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C22×(C2×D11)⋊C4C2211yescharacteristic
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C2×#66979C2211yescharacteristic, complemented
44C22×C4⋊Dic11C2211yescharacteristic, complemented
45C22×C4×Dic11C2211yescharacteristic, complemented
46#10623076C4116yescomplemented
47C2×#66946C2211yescharacteristic
48C2×#66945C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic, complemented
50C2×(C22⋊D11)⋊C4C2211yescharacteristic
51C2×(C22⋊D11)⋊C4C2211yescharacteristic
52C2×(C22⋊D11)⋊C4C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic
54C2×C22⋊C4×D11C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×C22⋊C4×D11C2211yescharacteristic
57C2×C22⋊C4×D11C2211yescharacteristic
58C2×#66930C2211yescharacteristic, complemented
59C2×C4×D44C2211yescharacteristic
60C2×#66925C2211yescharacteristic
61C2×#66925C2211yescharacteristic, complemented
62C2×#66925C2211yescharacteristic, complemented
63C2×C42×D11C2211yescharacteristic, complemented
64C11×#388C2211yescharacteristic, complemented
65C11×#388C2211yescharacteristic, complemented
66C11×#387C2211yescharacteristic, complemented
67C11×#387C2211yescharacteristic, complemented
68C11×#386C2211yescharacteristic
69C11×#386C2211yescharacteristic
70C11×#383C2211yescharacteristic, complemented
71C11×#381C2211yescharacteristic, complemented
72C11×#380C2211yescharacteristic, complemented
73C4×C11×C22⋊C4C2211yescharacteristic, complemented
74C4×C11×C22⋊C4C2211yescharacteristic, complemented
75C4×C11×C22⋊C4C2211yescharacteristic, complemented
76C11×#376C2211yescharacteristic, complemented
77C2×C11×#95C2211yescharacteristic, complemented
78#10622833C2211yescharacteristic
79#10622833C2211yescharacteristic
80#10622825C2211yescharacteristic, complemented
81#10622825C2211yescharacteristic, complemented
82#10622823C2211yescharacteristic, complemented
83#10622823C2211yescharacteristic, complemented
84C2×C11⋊#95C2211yescharacteristic, complemented
85#10622603C2211yescharacteristic
86#10622603C2211yescharacteristic
87#10622603C2211yescharacteristic, complemented
88#10622603C2211yescharacteristic, complemented
89#10622600C2211yescharacteristic, complemented
90#10622594C2211yescharacteristic, complemented
91#10622594C2211yescharacteristic, complemented
92#10622589C2211yescharacteristic, complemented
93C4⋊C4×Dic11C2211yescharacteristic, complemented
94#10622570C2211yescharacteristic
95#10622570C2211yescharacteristic
96#10622570C2211yescharacteristic
97#10622570C2211yescharacteristic
98#10622568C2211yescharacteristic
99#10622568C2211yescharacteristic
100#10622568C2211yescharacteristic
101#10622568C2211yescharacteristic
102#10622564C2211yescharacteristic, complemented
103#10622564C2211yescharacteristic, complemented
104#10622559C2211yescharacteristic, complemented
105#10622559C2211yescharacteristic, complemented
106#10622558C2211yescharacteristic, complemented
107#10622558C2211yescharacteristic, complemented
108#10622557C2211yescharacteristic, complemented
109#10622557C2211yescharacteristic, complemented
110#10622556C2211yescharacteristic, complemented
111#10622555C2211yescharacteristic, complemented
112C22⋊C4×Dic11C2211yescharacteristic, complemented
113C22⋊C4×Dic11C2211yescharacteristic, complemented
114C22⋊C4×Dic11C2211yescharacteristic, complemented
115C22⋊C4×Dic11C2211yescharacteristic, complemented
116C22⋊C4×Dic11C2211yescharacteristic, complemented
117#10622553C2211yescharacteristic
118#10622553C2211yescharacteristic
119#10622553C2211yescharacteristic
120#10622553C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
122C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
123C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
124C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
125C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
126#10622549C2211yescharacteristic, complemented
127C4×C4⋊Dic11C2211yescharacteristic, complemented
128C4×Dic11⋊C4C2211yescharacteristic, complemented
129C4×Dic11⋊C4C2211yescharacteristic, complemented
130C4×Dic11⋊C4C2211yescharacteristic, complemented
131C42×Dic11C2211yescharacteristic, complemented
132#10622283C2211yescharacteristic
133#10622283C2211yescharacteristic
134#10622283C2211yescharacteristic
135#10622283C2211yescharacteristic
136#10622283C2211yescharacteristic
137#10622283C2211yescharacteristic
138#10622283C2211yescharacteristic, complemented
139#10622283C2211yescharacteristic, complemented
140#10622283C2211yescharacteristic, complemented
141#10622283C2211yescharacteristic, complemented
142#10622283C2211yescharacteristic, complemented
143#10622283C2211yescharacteristic, complemented
144#10622282C2211yescharacteristic
145#10622282C2211yescharacteristic
146#10622282C2211yescharacteristic
147#10622282C2211yescharacteristic
148#10622281C2211yescharacteristic, complemented
149#10622281C2211yescharacteristic, complemented
150#10622281C2211yescharacteristic, complemented
151#10622281C2211yescharacteristic, complemented
152#10622280C2211yescharacteristic
153#10622280C2211yescharacteristic
154#10622280C2211yescharacteristic, complemented
155#10622280C2211yescharacteristic, complemented
156#10622280C2211yescharacteristic, complemented
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic, complemented
160#10622279C2211yescharacteristic, complemented
161#10622279C2211yescharacteristic, complemented
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622277C2211yescharacteristic, complemented
167#10622277C2211yescharacteristic, complemented
168D11×#95C2211yescharacteristic, complemented
169D11×#95C2211yescharacteristic, complemented
170#10622267C2211yescharacteristic, complemented
171#10622267C2211yescharacteristic, complemented
172#10622266C2211yescharacteristic, complemented
173#10622266C2211yescharacteristic, complemented
174#10622264C2211yescharacteristic, complemented
175#10622263C2211yescharacteristic, complemented
176#10622263C2211yescharacteristic, complemented
177#10622262C2211yescharacteristic, complemented
178#10622262C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622261C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C2×D4×D11—24no—
202C2×D4×D11—24no—
203C2×D4×D11C2×C418yes—
204C22×D44C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C4×D4×C11C2×C418yescomplemented
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239D4×Dic11C2×C418yescomplemented
240C4×C22⋊D11—24no—
241C4×C22⋊D11—24no—
242C4×C22⋊D11C2×C418yes—
243C4×C22⋊D11C2×C418yescomplemented
244C2×(C2×D11)⋊C4—42no—
245C2×(C2×D11)⋊C4—42no—
246C2×(C2×D11)⋊C4C2×C418yescomplemented
247C2×(C2×D11)⋊C4C2×C418yescomplemented
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
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
276#66979—42no—
277C2×C4⋊Dic11—42no—
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×C4×Dic11—42no—
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
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
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319#66946C2×C418yescomplemented
320#66945C2×C418yescomplemented
321C4⋊C4×D11—42no—
322(C22⋊D11)⋊C4—24no—
323(C22⋊D11)⋊C4—24no—
324(C22⋊D11)⋊C4C2×C418yes—
325(C22⋊D11)⋊C4C2×C418yescomplemented
326C22⋊C4×D11—42no—
327C22⋊C4×D11—42no—
328C22⋊C4×D11C2×C418yescomplemented
329C22⋊C4×D11C2×C418yescomplemented
330#66930—42no—
331C4×D44C2×C418yescomplemented
332#66925—42no—
333#66925—42no—
334#66925C2×C418yescomplemented
335C42×D11—42no—
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
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#34261—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—22no—
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
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11C22×C414yes—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11C22×C414yes—
410C22×C4×C11C22×C414yes—
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
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11C22×C414yes—
427C2×C22⋊D11C22×C414yes—
428C2×C22⋊D11#4114yes—
429C2×C22⋊D11#4114yes—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11C22×C414yes—
441C22×Dic11C22×C414yes—
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455D4×D11—232no—
456C2×D44—22no—
457C2×D44—22no—
458C2×D44C22×C414yes—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—41no—
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×D11C22×C414yes—
482C2×C4×D11C22×C414yes—
483C2×C4×D11C22×C414yes—
484C2×C4×D11C22×C414yes—
485C2×C4×D11C22×C414yes—
486C11×C4⋊C4—41no—
487C11×C4⋊C4—41no—
488C11×C4⋊C4C22×C414yes—
489C11×C22⋊C4—22no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—41no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4C22×C414yes—
496C11×C22⋊C4C22×C414yes—
497C42×C11—22no—
498C42×C11—41no—
499C42×C11—41no—
500C42×C11—41no—
501C42×C11C22×C414yes—
502C22⋊Dic11—22no—
503C22⋊Dic11—22no—
504C22⋊Dic11—22no—
505C22⋊Dic11—41no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
508C22⋊Dic11C22×C414yes—
509C22⋊Dic11C22×C414yes—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4C22×C414yes—
531(C2×D11)⋊C4C22×C414yes—
532(C2×D11)⋊C4C22×C414yes—
533(C2×D11)⋊C4C22×C414yes—
534(C2×D11)⋊C4C22×C414yes—
535(C2×D11)⋊C4C22×C414yes—
536(C2×D11)⋊C4C22×C414yes—
537(C2×D11)⋊C4C22×C414yes—
538C4⋊Dic11—22no—
539C4⋊Dic11—22no—
540C4⋊Dic11—41no—
541C4⋊Dic11—41no—
542C4⋊Dic11—41no—
543C4⋊Dic11—41no—
544C4⋊Dic11C22×C414yes—
545Dic11⋊C4—22no—
546Dic11⋊C4—22no—
547Dic11⋊C4—22no—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4C22×C414yes—
558Dic11⋊C4C22×C414yes—
559C4×Dic11—22no—
560C4×Dic11—22no—
561C4×Dic11—22no—
562C4×Dic11—22no—
563C4×Dic11—22no—
564C4×Dic11—22no—
565C4×Dic11—22no—
566C4×Dic11—41no—
567C4×Dic11—41no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574C4×Dic11—41no—
575C4×Dic11C22×C414yes—
576C4×Dic11C22×C414yes—
577C4×Dic11C22×C414yes—
578C2×#518—111no—
579#2357—111no—
580#2354—111no—
581#2353—111no—
582#2353D1111yescharacteristic, complemented
583#2352—111no—
584#2352—111no—
585#2349—111no—
586D4×C4⋊C4—111no—
587#2347—111no—
588#2346—111no—
589#2342—111no—
590#2342—111no—
591#2342—111no—
592#2342—111no—
593D4×C22⋊C4—111no—
594D4×C22⋊C4—111no—
595#2319—111no—
596#2318—111no—
597#2318—111no—
598#2314—111no—
599#2312—111no—
600#2312—111no—
601#2298—111no—
602#2293—111no—
603#2290—111no—
604#2290—111no—
605C2×#388—111no—
606C2×#388—111no—
607#2275—111no—
608C42×D4—111no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11C23×C412yes—
620C23×C11C23×C412yes—
621C23×C11C2×#4112yes—
622C23×C11C2×#4112yes—
623C23×C11C2511yescharacteristic
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—28no—
641C22×D11—28no—
642C22×D11—44no—
643C22×D11—44no—
644C22×D11—44no—
645C22×D11—44no—
646C22×D11—82no—
647C22×D11—82no—
648C22×D11—82no—
649C22×D11—82no—
650C22×D11—82no—
651C22×D11—82no—
652C22×D11—82no—
653C22×D11—82no—
654C22×D11C23×C412yes—
655C22×D11C23×C412yes—
656C22×D11C23×C412yes—
657C22×D11C2×#4112yes—
658C22×D11C2×#4112yes—
659D4×C11—28no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—44no—
694C2×C4×C11—44no—
695C2×C4×C11—44no—
696C2×C4×C11—82no—
697C2×C4×C11C23×C412yes—
698C2×C4×C11C23×C412yes—
699C2×C4×C11C23×C412yes—
700C2×C4×C11C23×C412yes—
701C2×C4×C11C23×C412yes—
702C2×C4×C11H(5,𝔽2)12yes—
703C22⋊D11—28no—
704C22⋊D11#117116yescomplemented
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—44no—
737C2×Dic11—44no—
738C2×Dic11—44no—
739C2×Dic11—82no—
740C2×Dic11C23×C412yes—
741C2×Dic11C23×C412yes—
742C2×Dic11C23×C412yes—
743C2×Dic11C23×C412yes—
744C2×Dic11C23×C412yes—
745C2×Dic11C2×#4112yes—
746C2×Dic11C2×#4112yes—
747C2×Dic11H(5,𝔽2)12yes—
748D44—28no—
749C4×D11—28no—
750C4×D11—44no—
751C4×D11—44no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—82no—
757C4×D11—82no—
758C23×D4—111no—
759#518—1116no—
760C2×C4×D4—111no—
761C2×C4×D4—111no—
762C2×C4×D4—111no—
763C2×C4×D4—111no—
764C2×C4×D4—111no—
765C2×C4×D4—111no—
766C2×C4×D4—111no—
767C2×C4×D4—111no—
768C2×C4×D4—111no—
769C2×C4×D4—111no—
770C2×C4×D4—111no—
771C2×C4×D4C2×D1111yescharacteristic
772C2×#117—111no—
773C2×#117—111no—
774C2×#117—111no—
775C2×#117—111no—
776C2×#117—111no—
777C2×#117—111no—
778C22×C4⋊C4—111no—
779C22×C4⋊C4—111no—
780C22×C22⋊C4—111no—
781C22×C22⋊C4—111no—
782C22×C22⋊C4—111no—
783C22×C22⋊C4—111no—
784C22×C22⋊C4—111no—
785C22×C22⋊C4—111no—
786C22×C22⋊C4—111no—
787C22×C22⋊C4—111no—
788C22×C42—111no—
789C22×C42—111no—
790#390—111no—
791#390—111no—
792#390—111no—
793#390—111no—
794#389—111no—
795#389—111no—
796#389—111no—
797#389—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388C2×D1111yescharacteristic, complemented
829#388C2×D1111yescharacteristic, complemented
830#387—111no—
831#387—111no—
832#387—111no—
833#387—111no—
834#387—111no—
835#387—111no—
836#387C2×D1111yescharacteristic, complemented
837#387C2×D1111yescharacteristic, complemented
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386C2×D1111yescharacteristic
845#386C2×D1111yescharacteristic
846#385—111no—
847#385—111no—
848#385—111no—
849#385—111no—
850#385—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#384—111no—
855#383—111no—
856#383C2×D1111yescharacteristic, complemented
857#382—111no—
858#382—111no—
859#382—111no—
860#381—111no—
861#381—111no—
862#381—111no—
863#381C2×D1111yescharacteristic, complemented
864#380—111no—
865#380—111no—
866#380—111no—
867#380—111no—
868#380—111no—
869#380—111no—
870#380—111no—
871#380—111no—
872#380—111no—
873#380C2×D1111yescharacteristic, complemented
874#379—111no—
875#379—111no—
876#379—111no—
877#379—111no—
878C4×C4⋊C4—111no—
879C4×C4⋊C4—111no—
880C4×C4⋊C4—111no—
881C4×C4⋊C4—111no—
882C4×C4⋊C4—111no—
883C4×C4⋊C4—111no—
884C4×C4⋊C4—111no—
885C4×C4⋊C4—111no—
886C4×C4⋊C4—111no—
887C4×C4⋊C4—111no—
888C4×C22⋊C4—111no—
889C4×C22⋊C4—111no—
890C4×C22⋊C4—111no—
891C4×C22⋊C4—111no—
892C4×C22⋊C4—111no—
893C4×C22⋊C4—111no—
894C4×C22⋊C4—111no—
895C4×C22⋊C4—111no—
896C4×C22⋊C4—111no—
897C4×C22⋊C4—111no—
898C4×C22⋊C4—111no—
899C4×C22⋊C4—111no—
900C4×C22⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4C2×D1111yescharacteristic, complemented
904C4×C22⋊C4C2×D1111yescharacteristic, complemented
905C4×C22⋊C4C2×D1111yescharacteristic, complemented
906#376—111no—
907#376—111no—
908#376C2×D1111yescharacteristic, complemented
909C2×#95—111no—
910C2×#95—111no—
911C2×#95—111no—
912C2×#95C2×D1111yescharacteristic, complemented
913C43—111no—
914C22×C11—22no—
915C22×C11—22no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11C2×#11714yes—
928C22×C11C24×C411yescharacteristic
929C22×C11C22×#4111yescharacteristic
930C22×C11C22×#4111yescharacteristic
931C22×C11C2×H(5,𝔽2)11yescharacteristic
932C22×C11C2×H(5,𝔽2)11yescharacteristic
933C22×C11#58511yescharacteristic
934C22×C11#58511yescharacteristic
935C2×D11—22no—
936C2×D11—22no—
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—22no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—88no—
956C2×D11—88no—
957C2×D11C2×#11714yes—
958C4×C11—22no—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—22no—
962C4×C11—22no—
963C4×C11—22no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971Dic11—22no—
972Dic11—22no—
973Dic11—22no—
974Dic11—22no—
975Dic11—22no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11C2×#11714yes—
984C25—111no—
985C25—111no—
986C22×D4—111no—
987C22×D4—111no—
988C22×D4—118no—
989C22×D4—111no—
990C22×D4—224no—
991C22×D4—224no—
992C22×D4C22×D1111yescharacteristic
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4C22×D1111yescharacteristic
1007C23×C4C22×D1111yescharacteristic
1008C23×C4C22×D1111yescharacteristic
1009C23×C4C22×D1111yescharacteristic
1010C4×D4—118no—
1011C4×D4—118no—
1012C4×D4—118no—
1013C4×D4—118no—
1014C4×D4—118no—
1015C4×D4—118no—
1016C4×D4—118no—
1017C4×D4—224no—
1018C4×D4—224no—
1019C4×D4—224no—
1020C4×D4—224no—
1021C4×D4C4×D1118yescomplemented
1022#117—118no—
1023#117—118no—
1024#117—442no—
1025#117—442no—
1026#117—442no—
1027#117—442no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
1036C2×C4⋊C4—111no—
1037C2×C4⋊C4—111no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—442no—
1050C2×C4⋊C4—442no—
1051C2×C4⋊C4C22×D1111yescharacteristic
1052C2×C4⋊C4C22×D1111yescharacteristic
1053C2×C4⋊C4C22×D1111yescharacteristic
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—118no—
1057C2×C22⋊C4—118no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—118no—
1067C2×C22⋊C4—118no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
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—442no—
1095C2×C22⋊C4—442no—
1096C2×C22⋊C4—442no—
1097C2×C22⋊C4—442no—
1098C2×C22⋊C4C22×D1111yescharacteristic
1099C2×C22⋊C4C22×D1111yescharacteristic
1100C2×C22⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4C22×D1111yescharacteristic
1102C2×C22⋊C4C22×D1111yescharacteristic
1103C2×C22⋊C4C22×D1111yescharacteristic
1104C2×C22⋊C4C22×D1111yescharacteristic
1105C2×C22⋊C4C22×D1111yescharacteristic
1106C2×C42—111no—
1107C2×C42—111no—
1108C2×C42—111no—
1109C2×C42—111no—
1110C2×C42—111no—
1111C2×C42—111no—
1112C2×C42—111no—
1113C2×C42—111no—
1114C2×C42—111no—
1115C2×C42—111no—
1116C2×C42—111no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—111no—
1125C2×C42—442no—
1126C2×C42—442no—
1127C2×C42C22×D1111yescharacteristic
1128C2×C42C22×D1111yescharacteristic
1129C2×C42C22×D1111yescharacteristic
1130C2×C42C22×D1111yescharacteristic
1131C2×C42C22×D1111yescharacteristic
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95C22×D1111yescharacteristic
1159#95C22×D1111yescharacteristic
1160#95C22×D1111yescharacteristic
1161#95C22×D1111yescharacteristic
1162#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167#95C22×D1111yescharacteristic
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172C2×C11—24no—
1173C2×C11—42no—
1174C2×C11C22×#11711yescharacteristic
1175C2×C11C4×H(5,𝔽2)11yescharacteristic
1176C2×C11C4×H(5,𝔽2)11yescharacteristic
1177C2×C11#351311yescharacteristic
1178C2×C11#351411yescharacteristic
1179C2×C11#351911yescharacteristic
1180C2×C11#352111yescharacteristic
1181D11—24no—
1182D11—42no—
1183D11—42no—
1184C24—111no—
1185C24—111no—
1186C24—111no—
1187C24—114no—
1188C24—114no—
1189C24—222no—
1190C24—222no—
1191C24—222no—
1192C24—222no—
1193C24—441no—
1194C24—441no—
1195C24—441no—
1196C24—441no—
1197C24—441no—
1198C24—441no—
1199C24—441no—
1200C24—441no—
1201C24C23×D1111yescharacteristic
1202C24C23×D1111yescharacteristic
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—114no—
1206C2×D4—114no—
1207C2×D4—114no—
1208C2×D4—114no—
1209C2×D4—114no—
1210C2×D4—222no—
1211C2×D4—222no—
1212C2×D4—222no—
1213C2×D4—222no—
1214C2×D4—2232no—
1215C2×D4C2×C4×D1114yes—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—114no—
1233C22×C4—114no—
1234C22×C4—114no—
1235C22×C4—114no—
1236C22×C4—114no—
1237C22×C4—114no—
1238C22×C4—114no—
1239C22×C4—111no—
1240C22×C4—111no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—222no—
1247C22×C4—222no—
1248C22×C4—222no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—222no—
1255C22×C4—222no—
1256C22×C4—222no—
1257C22×C4—441no—
1258C22×C4—441no—
1259C22×C4—441no—
1260C22×C4—441no—
1261C22×C4—441no—
1262C22×C4—441no—
1263C22×C4—441no—
1264C22×C4—441no—
1265C22×C4—441no—
1266C22×C4—441no—
1267C22×C4—441no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4C2×C4×D1114yes—
1279C22×C4C2×C4×D1114yes—
1280C22×C4C23×D1111yescharacteristic
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C22×C4C23×D1111yescharacteristic
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—114no—
1296C4⋊C4—114no—
1297C4⋊C4—114no—
1298C4⋊C4—222no—
1299C4⋊C4—222no—
1300C4⋊C4—222no—
1301C4⋊C4—222no—
1302C4⋊C4—222no—
1303C4⋊C4—222no—
1304C4⋊C4—222no—
1305C4⋊C4—222no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C4⋊C4—441no—
1309C4⋊C4—441no—
1310C4⋊C4—441no—
1311C4⋊C4—441no—
1312C4⋊C4—441no—
1313C4⋊C4—441no—
1314C4⋊C4—441no—
1315C4⋊C4—441no—
1316C4⋊C4C2×C4×D1114yes—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—114no—
1324C22⋊C4—114no—
1325C22⋊C4—114no—
1326C22⋊C4—114no—
1327C22⋊C4—114no—
1328C22⋊C4—114no—
1329C22⋊C4—114no—
1330C22⋊C4—114no—
1331C22⋊C4—114no—
1332C22⋊C4—114no—
1333C22⋊C4—222no—
1334C22⋊C4—222no—
1335C22⋊C4—222no—
1336C22⋊C4—222no—
1337C22⋊C4—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—222no—
1341C22⋊C4—222no—
1342C22⋊C4—222no—
1343C22⋊C4—222no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4—441no—
1350C22⋊C4—441no—
1351C22⋊C4—441no—
1352C22⋊C4—441no—
1353C22⋊C4—441no—
1354C22⋊C4—441no—
1355C22⋊C4—441no—
1356C22⋊C4—441no—
1357C22⋊C4—441no—
1358C22⋊C4—441no—
1359C22⋊C4C2×C4×D1114yes—
1360C22⋊C4C2×C4×D1114yes—
1361C42—22no—
1362C42—41no—
1363C42—41no—
1364C42—41no—
1365C42—114no—
1366C42—114no—
1367C42—114no—
1368C42—222no—
1369C42—222no—
1370C42—222no—
1371C42—222no—
1372C42—222no—
1373C42—222no—
1374C42—222no—
1375C42—441no—
1376C42—441no—
1377C42—441no—
1378C42—441no—
1379C42—441no—
1380C42—441no—
1381C42—441no—
1382C42—441no—
1383C42—441no—
1384C42C2×C4×D1114yes—
1385C11#3426111yescharacteristic, complemented, Sylow
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—112no—
1397C23—112no—
1398C23—112no—
1399C23—112no—
1400C23—112no—
1401C23—228no—
1402C23—221no—
1403C23—221no—
1404C23—221no—
1405C23—221no—
1406C23—221no—
1407C23—221no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—228no—
1419C23—444no—
1420C23—444no—
1421C23—444no—
1422C23—444no—
1423C23—882no—
1424C23—882no—
1425C23—882no—
1426C23—882no—
1427C23—882no—
1428C23—882no—
1429C23—882no—
1430C23—882no—
1431C23C22×C4×D1112yes—
1432C23C22×C4×D1112yes—
1433C23#41×D1112yes—
1434C23#41×D1112yes—
1435C23C24×D1111yescharacteristic
1436D4—28no—
1437D4—1116no—
1438D4—228no—
1439D4—228no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—82no—
1477C2×C4—112no—
1478C2×C4—112no—
1479C2×C4—112no—
1480C2×C4—112no—
1481C2×C4—112no—
1482C2×C4—112no—
1483C2×C4—112no—
1484C2×C4—112no—
1485C2×C4—228no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—444no—
1518C2×C4—444no—
1519C2×C4—444no—
1520C2×C4—444no—
1521C2×C4—444no—
1522C2×C4—444no—
1523C2×C4—444no—
1524C2×C4—444no—
1525C2×C4—444no—
1526C2×C4—882no—
1527C2×C4—882no—
1528C2×C4—882no—
1529C2×C4C22×C4×D1112yes—
1530C2×C4C22×C4×D1112yes—
1531C2×C4C22×C4×D1112yes—
1532C2×C4C22×C4×D1112yes—
1533C2×C4C22×C4×D1112yes—
1534C2×C4#6704212yes—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—114no—
1549C22—222no—
1550C22—222no—
1551C22—222no—
1552C22—222no—
1553C22—222no—
1554C22—222no—
1555C22—222no—
1556C22—222no—
1557C22—222no—
1558C22—222no—
1559C22—222no—
1560C22—222no—
1561C22—441no—
1562C22—441no—
1563C22—441no—
1564C22—441no—
1565C22—441no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22—888no—
1570C22—888no—
1571C22D11×#11714yes—
1572C22C23×C4×D1111yescharacteristic
1573C22C2×#41×D1111yescharacteristic
1574C22C2×#41×D1111yescharacteristic
1575C22C2×#6704211yescharacteristic
1576C22#1062345311yescharacteristic
1577C22D11×H(5,𝔽2)11yescharacteristic
1578C22#1062345511yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—114no—
1593C4—222no—
1594C4—222no—
1595C4—222no—
1596C4—222no—
1597C4—222no—
1598C4—441no—
1599C4—441no—
1600C4—441no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4—441no—
1605C2—24no—
1606C2—42no—
1607C2—224no—
1608C2—442no—
1609C2—442no—
1610C2C2×D11×#11711yescharacteristic
1611C2#1308182011yescharacteristic
1612C2C4×#6704211yescharacteristic
1613C2#1308254311yescharacteristic
1614C2#1308256611yescharacteristic
1615C2#1308264111yescharacteristic
1616C2#1308267511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2353C2
socle, cosocleC23×C11C25
prime radicalC22×D4×D11C22
hypercenter#2353D11
hypocenterC11#34261
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2353

Complements

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

NH ≅ G/Ntype
2. #13071586C2semidirect
3. #13071562C2semidirect
4. #13071555C2semidirect
5. #13071545C2semidirect
6. #13071540C2semidirect
7. #13071523C2semidirect
8. #13071512C2semidirect
9. #13071504C2semidirect
10. #13071502C2semidirect
11. #13071468C2semidirect
12. #13071459C2semidirect
13. #13071459C2semidirect
14. #13071458C2semidirect
17. #13071256C2semidirect
18. #13071247C2semidirect
19. #13071242C2semidirect
20. #13071222C2semidirect
21. #13071213C2semidirect
22. #13071210C2semidirect
23. #13071108C2semidirect
24. #13071079C2semidirect
25. #13071060C2semidirect
26. #13071056C2semidirect
27. C2×#10622283C2semidirect
28. D11×#388C2semidirect
29. #13070975C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2353C2semidirect
43. C2×#66979C22semidirect
44. C22×C4⋊Dic11C22semidirect
45. C22×C4×Dic11C22semidirect
46. #10623076C4semidirect
49. C2×C4⋊C4×D11C22semidirect
58. C2×#66930C22semidirect
61. C2×#66925C22semidirect
62. C2×#66925C22semidirect
63. C2×C42×D11C22semidirect
64. C11×#388C22semidirect
65. C11×#388C22semidirect
66. C11×#387C22semidirect
67. C11×#387C22semidirect
70. C11×#383C22semidirect
71. C11×#381C22semidirect
72. C11×#380C22semidirect
73. C4×C11×C22⋊C4C22semidirect
74. C4×C11×C22⋊C4C22semidirect
75. C4×C11×C22⋊C4C22semidirect
76. C11×#376C22semidirect
77. C2×C11×#95C22semidirect
80. #10622825C22semidirect
81. #10622825C22semidirect
82. #10622823C22semidirect
83. #10622823C22semidirect
84. C2×C11⋊#95C22semidirect
87. #10622603C22semidirect
88. #10622603C22semidirect
89. #10622600C22semidirect
90. #10622594C22semidirect
91. #10622594C22semidirect
92. #10622589C22semidirect
93. C4⋊C4×Dic11C22semidirect
102. #10622564C22semidirect
103. #10622564C22semidirect
104. #10622559C22semidirect
105. #10622559C22semidirect
106. #10622558C22semidirect
107. #10622558C22semidirect
108. #10622557C22semidirect
109. #10622557C22semidirect
110. #10622556C22semidirect
111. #10622555C22semidirect
112. C22⋊C4×Dic11C22semidirect
113. C22⋊C4×Dic11C22semidirect
114. C22⋊C4×Dic11C22semidirect
115. C22⋊C4×Dic11C22semidirect
116. C22⋊C4×Dic11C22semidirect
121. C4×(C2×D11)⋊C4C22semidirect
122. C4×(C2×D11)⋊C4C22semidirect
123. C4×(C2×D11)⋊C4C22semidirect
124. C4×(C2×D11)⋊C4C22semidirect
125. C4×(C2×D11)⋊C4C22semidirect
126. #10622549C22semidirect
127. C4×C4⋊Dic11C22semidirect
128. C4×Dic11⋊C4C22semidirect
129. C4×Dic11⋊C4C22semidirect
130. C4×Dic11⋊C4C22semidirect
131. C42×Dic11C22semidirect
138. #10622283C22semidirect
139. #10622283C22semidirect
140. #10622283C22semidirect
141. #10622283C22semidirect
142. #10622283C22semidirect
143. #10622283C22semidirect
148. #10622281C22semidirect
149. #10622281C22semidirect
150. #10622281C22semidirect
151. #10622281C22semidirect
154. #10622280C22semidirect
155. #10622280C22semidirect
156. #10622280C22semidirect
159. #10622279C22semidirect
160. #10622279C22semidirect
161. #10622279C22semidirect
166. #10622277C22semidirect
167. #10622277C22semidirect
168. D11×#95C22semidirect
169. D11×#95C22semidirect
170. #10622267C22semidirect
171. #10622267C22semidirect
172. #10622266C22semidirect
173. #10622266C22semidirect
174. #10622264C22semidirect
175. #10622263C22semidirect
176. #10622263C22semidirect
177. #10622262C22semidirect
178. #10622262C22semidirect
179. #10622262C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622261C22semidirect
183. #10622261C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
214. C4×D4×C11C2×C4semidirect
239. D4×Dic11C2×C4semidirect
243. C4×C22⋊D11C2×C4semidirect
246. C2×(C2×D11)⋊C4C2×C4semidirect
247. C2×(C2×D11)⋊C4C2×C4semidirect
319. #66946C2×C4semidirect
320. #66945C2×C4semidirect
325. (C22⋊D11)⋊C4C2×C4semidirect
328. C22⋊C4×D11C2×C4semidirect
329. C22⋊C4×D11C2×C4semidirect
331. C4×D44C2×C4semidirect
334. #66925C2×C4semidirect
582. #2353D11semidirect
704. C22⋊D11#117semidirect
828. #388C2×D11semidirect
829. #388C2×D11semidirect
836. #387C2×D11semidirect
837. #387C2×D11semidirect
856. #383C2×D11semidirect
863. #381C2×D11semidirect
873. #380C2×D11semidirect
903. C4×C22⋊C4C2×D11semidirect
904. C4×C22⋊C4C2×D11semidirect
905. C4×C22⋊C4C2×D11semidirect
908. #376C2×D11semidirect
912. C2×#95C2×D11semidirect
1021. C4×D4C4×D11semidirect
1385. C11#34261semidirect

Maximal subgroups

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

subgroupindex
C2×#106230762
#130715862
#130715622
#130715552
#130715452
#130715402
#130715232
#130715122
#130715042
#130715022
#130714682
#130714592
#130714582
#130714342
#130712562
#130712472
#130712422
#130712222
#130712132
#130712102
#130711082
#130710792
#130710602
#130710562
C2×#106222832
D11×#3882
#130709752
C4×(C22⋊D11)⋊C42
C11×#23532
#3426111