Finite Group Databasebeta

← #14914728

Subgroups — #14914728

Order 2816.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623076C211yesmaximal, characteristic
2#13071555C211yesmaximal, characteristic, complemented
3#13071553C211yesmaximal, characteristic, complemented
4#13071551C211yesmaximal, characteristic, complemented
5#13071549C211yesmaximal, characteristic, complemented
6#13071544C211yesmaximal, characteristic, complemented
7#13071542C211yesmaximal, characteristic, complemented
8#13071540C211yesmaximal, characteristic, complemented
9#13071538C211yesmaximal, characteristic, complemented
10#13071475C211yesmaximal, characteristic, complemented
11#13071473C211yesmaximal, characteristic, complemented
12#13071471C211yesmaximal, characteristic, complemented
13#13071469C211yesmaximal, characteristic, complemented
14#13071464C211yesmaximal, characteristic, complemented
15#13071462C211yesmaximal, characteristic, complemented
16#13071460C211yesmaximal, characteristic, complemented
17#13071458C211yesmaximal, characteristic, complemented
18#13071250C211yesmaximal, characteristic, complemented
19#13071244C211yesmaximal, characteristic, complemented
20#13071242C211yesmaximal, characteristic, complemented
21#13071227C211yesmaximal, characteristic, complemented
22#13071190C211yesmaximal, characteristic
23#13071061C211yesmaximal, characteristic, complemented
24#13071056C211yesmaximal, characteristic, complemented
25#13071055C211yesmaximal, characteristic, complemented
26#13071052C211yesmaximal, characteristic, complemented
27D11×#386C211yesmaximal, characteristic
28D11×#385C211yesmaximal, characteristic, complemented
29#13070968C211yesmaximal, characteristic, complemented
30C2×#10622279C211yesmaximal, characteristic, complemented
31C11×#2318C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×D4×Dic11C2211yescharacteristic
36C2×C4×C22⋊D11C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C22×(C2×D11)⋊C4C2211yescharacteristic
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C2×#66979C2211yescharacteristic, complemented
42C22×C4×Dic11C2211yescharacteristic, complemented
43C22×C4×Dic11C2211yescharacteristic, complemented
44#10623076C4116yescomplemented
45C2×#66946C2211yescharacteristic
46C2×#66945C2211yescharacteristic
47C2×#66945C2211yescharacteristic, complemented
48C2×C4⋊C4×D11C2211yescharacteristic, complemented
49C2×C4⋊C4×D11C2211yescharacteristic, complemented
50C2×(C22⋊D11)⋊C4C2211yescharacteristic
51C2×(C22⋊D11)⋊C4C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C22⋊C4×D11C2211yescharacteristic
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
62C11×#388C2211yescharacteristic, complemented
63C11×#388C2211yescharacteristic, complemented
64C11×#387C2211yescharacteristic, complemented
65C11×#387C2211yescharacteristic, complemented
66C11×#386C2211yescharacteristic
67C11×#386C2211yescharacteristic
68C11×#385C2211yescharacteristic, complemented
69C11×#385C2211yescharacteristic, complemented
70C11×#383C2211yescharacteristic, complemented
71C11×#382C2211yescharacteristic, complemented
72C11×#381C2211yescharacteristic, complemented
73C11×#380C2211yescharacteristic, complemented
74C4×C11×C22⋊C4C2211yescharacteristic, complemented
75C2×C11×#95C2211yescharacteristic, complemented
76#10622833C2211yescharacteristic
77#10622833C2211yescharacteristic
78#10622826C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622823C2211yescharacteristic, complemented
81#10622823C2211yescharacteristic, complemented
82C4×C22⋊Dic11C2211yescharacteristic, complemented
83C4×C22⋊Dic11C2211yescharacteristic, complemented
84C2×C11⋊#95C2211yescharacteristic, complemented
85#10622603C2211yescharacteristic, complemented
86#10622603C2211yescharacteristic, complemented
87#10622602C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622600C2211yescharacteristic, complemented
92#10622600C2211yescharacteristic, complemented
93#10622600C2211yescharacteristic, complemented
94#10622594C2211yescharacteristic, complemented
95#10622594C2211yescharacteristic, complemented
96#10622591C2211yescharacteristic, complemented
97#10622591C2211yescharacteristic, complemented
98#10622590C2211yescharacteristic, complemented
99C4⋊C4×Dic11C2211yescharacteristic, complemented
100#10622571C2211yescharacteristic
101#10622571C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622568C2211yescharacteristic
107#10622568C2211yescharacteristic
108#10622564C2211yescharacteristic, complemented
109#10622564C2211yescharacteristic, complemented
110#10622563C2211yescharacteristic, complemented
111#10622563C2211yescharacteristic, complemented
112#10622559C2211yescharacteristic, complemented
113#10622559C2211yescharacteristic, complemented
114#10622558C2211yescharacteristic, complemented
115#10622558C2211yescharacteristic, complemented
116#10622557C2211yescharacteristic, complemented
117#10622557C2211yescharacteristic, complemented
118#10622556C2211yescharacteristic, complemented
119#10622555C2211yescharacteristic, complemented
120C22⋊C4×Dic11C2211yescharacteristic, complemented
121C22⋊C4×Dic11C2211yescharacteristic, complemented
122C22⋊C4×Dic11C2211yescharacteristic, complemented
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
126C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
127C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
128C4×C4⋊Dic11C2211yescharacteristic, complemented
129#10622545C2211yescharacteristic, complemented
130#10622545C2211yescharacteristic, complemented
131C4×Dic11⋊C4C2211yescharacteristic, complemented
132#10622283C2211yescharacteristic, complemented
133#10622283C2211yescharacteristic, complemented
134#10622282C2211yescharacteristic, complemented
135#10622282C2211yescharacteristic, complemented
136#10622282C2211yescharacteristic, complemented
137#10622282C2211yescharacteristic, complemented
138#10622281C2211yescharacteristic
139#10622281C2211yescharacteristic
140#10622281C2211yescharacteristic
141#10622281C2211yescharacteristic
142#10622280C2211yescharacteristic, complemented
143#10622280C2211yescharacteristic, complemented
144#10622280C2211yescharacteristic, complemented
145#10622279C2211yescharacteristic
146#10622279C2211yescharacteristic
147#10622279C2211yescharacteristic
148#10622279C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic, complemented
152#10622279C2211yescharacteristic, complemented
153#10622279C2211yescharacteristic, complemented
154#10622279C2211yescharacteristic, complemented
155#10622279C2211yescharacteristic, complemented
156#10622279C2211yescharacteristic, complemented
157#10622279C2211yescharacteristic, complemented
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622277C2211yescharacteristic
163#10622277C2211yescharacteristic
164#10622277C2211yescharacteristic, complemented
165#10622277C2211yescharacteristic, complemented
166D11×#95C2211yescharacteristic
167D11×#95C2211yescharacteristic
168D11×#95C2211yescharacteristic, complemented
169D11×#95C2211yescharacteristic, complemented
170#10622268C2211yescharacteristic, complemented
171#10622268C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622267C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622265C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622264C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622261C2211yescharacteristic, complemented
187#10622261C2211yescharacteristic, 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×D11—24no—
206C22×C4×D11—42no—
207C22×C4×D11—42no—
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C4×D4×C11C2×C418yescomplemented
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246D4×Dic11C2×C418yescomplemented
247C4×C22⋊D11C2×C418yescomplemented
248C4×C22⋊D11C2×C418yescomplemented
249C2×(C2×D11)⋊C4—24no—
250C2×(C2×D11)⋊C4C2×C418yes—
251C2×(C2×D11)⋊C4C2×C418yescomplemented
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⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×C4×Dic11—42no—
293C2×C4×Dic11—42no—
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
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
311#66946C2×C418yescomplemented
312#66945—42no—
313#66945C2×C418yescomplemented
314C4⋊C4×D11—42no—
315C4⋊C4×D11—42no—
316(C22⋊D11)⋊C4C2×C418yescomplemented
317(C22⋊D11)⋊C4C2×C418yescomplemented
318C22⋊C4×D11—24no—
319C22⋊C4×D11—24no—
320C22⋊C4×D11—42no—
321C22⋊C4×D11—42no—
322C22⋊C4×D11C2×C418yes—
323C22⋊C4×D11C2×C418yescomplemented
324#66930—42no—
325C4×D44C2×C418yescomplemented
326#66925—42no—
327#66925C2×C418yescomplemented
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
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#34251—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C23×D11—22no—
380C23×D11—22no—
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×D11C22×C414yes—
390C23×D11C22×C414yes—
391C23×D11#4114yes—
392C23×D11#4114yes—
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—41no—
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×C414yescomplemented
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⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11C22×C414yes—
429C2×C22⋊D11C22×C414yes—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11C22×C414yes—
441C22×Dic11C22×C414yescomplemented
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—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
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×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—416no—
494C2×C4×D11C22×C414yes—
495C2×C4×D11C22×C414yes—
496C2×C4×D11C22×C414yes—
497C2×C4×D11C22×C414yescomplemented
498C2×C4×D11C22×C414yescomplemented
499C11×C4⋊C4—41no—
500C11×C4⋊C4—41no—
501C11×C4⋊C4—41no—
502C11×C4⋊C4—41no—
503C11×C4⋊C4C22×C414yescomplemented
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C11×C22⋊C4—41no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4C22×C414yes—
511C11×C22⋊C4C22×C414yescomplemented
512C42×C11—41no—
513C42×C11—41no—
514C42×C11C22×C414yescomplemented
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—22no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521C22⋊Dic11C22×C414yes—
522C22⋊Dic11C22×C414yescomplemented
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
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)⋊C4C22×C414yes—
540(C2×D11)⋊C4C22×C414yes—
541(C2×D11)⋊C4C22×C414yes—
542(C2×D11)⋊C4C22×C414yes—
543(C2×D11)⋊C4C22×C414yes—
544(C2×D11)⋊C4C22×C414yes—
545(C2×D11)⋊C4C22×C414yescomplemented
546(C2×D11)⋊C4C22×C414yescomplemented
547C4⋊Dic11—22no—
548C4⋊Dic11—22no—
549C4⋊Dic11—41no—
550C4⋊Dic11—41no—
551C4⋊Dic11C22×C414yescomplemented
552Dic11⋊C4—22no—
553Dic11⋊C4—22no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560Dic11⋊C4C22×C414yescomplemented
561Dic11⋊C4C22×C414yescomplemented
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×Dic11—41no—
576C4×Dic11C22×C414yescomplemented
577C4×Dic11C22×C414yescomplemented
578C4×Dic11C22×C414yescomplemented
579C2×#518—111no—
580#2353—111no—
581#2353—111no—
582#2353—111no—
583#2353—111no—
584#2352—111no—
585#2352—111no—
586#2352—111no—
587#2352—111no—
588#2343—111no—
589#2343—111no—
590#2343—111no—
591#2343—111no—
592#2342—111no—
593#2342—111no—
594#2342—111no—
595#2342—111no—
596#2318—111no—
597#2318—111no—
598#2318—111no—
599#2318D1111yescharacteristic, complemented
600#2315—111no—
601#2308—111no—
602#2290—111no—
603#2290—111no—
604#2290—111no—
605#2290—111no—
606C2×#386—111no—
607C2×#385—111no—
608#2273—111no—
609C2×C4×C22⋊C4—111no—
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×C11—21no—
620C23×C11C23×C412yes—
621C23×C11C23×C412yes—
622C23×C11C2×#4112yes—
623C23×C11C2×#4112yes—
624C23×C11C2511yescharacteristic
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—28no—
640C22×D11—44no—
641C22×D11—44no—
642C22×D11—44no—
643C22×D11—44no—
644C22×D11—44no—
645C22×D11—44no—
646C22×D11—44no—
647C22×D11—44no—
648C22×D11—82no—
649C22×D11—82no—
650C22×D11—82no—
651C22×D11—82no—
652C22×D11#117116yescomplemented
653C22×D11C23×C412yes—
654C22×D11C23×C412yes—
655C22×D11C23×C412yes—
656C22×D11C2×#4112yes—
657C22×D11C2×#4112yes—
658C22×D11C2×#4112yes—
659C22×D11C2×#4112yes—
660D4×C11—28no—
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—21no—
694C2×C4×C11—21no—
695C2×C4×C11—44no—
696C2×C4×C11—44no—
697C2×C4×C11—44no—
698C2×C4×C11—44no—
699C2×C4×C11C23×C412yes—
700C2×C4×C11C23×C412yes—
701C2×C4×C11C23×C412yes—
702C2×C4×C11C23×C412yes—
703C2×C4×C11C23×C412yes—
704C22⋊D11—28no—
705C22⋊D11—28no—
706C2×Dic11—28no—
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—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—44no—
740C2×Dic11—44no—
741C2×Dic11—44no—
742C2×Dic11C23×C412yes—
743C2×Dic11C23×C412yes—
744C2×Dic11C23×C412yes—
745C2×Dic11C23×C412yes—
746C2×Dic11C23×C412yes—
747C2×Dic11H(5,𝔽2)12yes—
748C2×Dic11H(5,𝔽2)12yes—
749D44—28no—
750C4×D11—28no—
751C4×D11—44no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—44no—
758C4×D11—44no—
759C4×D11—82no—
760C4×D11—82no—
761C4×D11—82no—
762C4×D11—82no—
763C23×D4—111no—
764C24×C4—111no—
765#518—1116no—
766C2×C4×D4—111no—
767C2×C4×D4—111no—
768C2×C4×D4—111no—
769C2×C4×D4—111no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4C2×D1111yescharacteristic
774C2×#117—111no—
775C2×#117—111no—
776C2×#117—111no—
777C2×#117—111no—
778C2×#117—111no—
779C2×#117—111no—
780C22×C4⋊C4—111no—
781C22×C4⋊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×C22⋊C4—111no—
789C22×C22⋊C4—111no—
790C22×C22⋊C4—111no—
791C22×C42—111no—
792C22×C42—111no—
793#388—111no—
794#388—111no—
795#388—111no—
796#388—111no—
797#388—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#388C2×D1111yescharacteristic, complemented
808#388C2×D1111yescharacteristic, complemented
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387C2×D1111yescharacteristic, complemented
824#387C2×D1111yescharacteristic, complemented
825#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#386C2×D1111yescharacteristic
840#386C2×D1111yescharacteristic
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
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#385—111no—
855#385C2×D1111yescharacteristic, complemented
856#385C2×D1111yescharacteristic, complemented
857#383—111no—
858#383—111no—
859#383—111no—
860#383C2×D1111yescharacteristic, complemented
861#382—111no—
862#382—111no—
863#382—111no—
864#382C2×D1111yescharacteristic, complemented
865#381—111no—
866#381—111no—
867#381—111no—
868#381—111no—
869#381—111no—
870#381C2×D1111yescharacteristic, complemented
871#380—111no—
872#380—111no—
873#380—111no—
874#380—111no—
875#380—111no—
876#380—111no—
877#380—111no—
878#380C2×D1111yescharacteristic, complemented
879#379—111no—
880#379—111no—
881C4×C4⋊C4—111no—
882C4×C4⋊C4—111no—
883C4×C4⋊C4—111no—
884C4×C4⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊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⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4—111no—
906C4×C22⋊C4—111no—
907C4×C22⋊C4—111no—
908C4×C22⋊C4C2×D1111yescharacteristic, complemented
909#376—111no—
910#376—111no—
911#376—111no—
912#376—111no—
913C2×#95—111no—
914C2×#95—111no—
915C2×#95—111no—
916C2×#95—111no—
917C2×#95—111no—
918C2×#95C2×D1111yescharacteristic, complemented
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—22no—
925C22×C11—22no—
926C22×C11—22no—
927C22×C11—22no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11C2×#11714yes—
933C22×C11C24×C411yescharacteristic
934C22×C11C22×#4111yescharacteristic
935C22×C11C22×#4111yescharacteristic
936C22×C11C2×H(5,𝔽2)11yescharacteristic
937C22×C11C2×H(5,𝔽2)11yescharacteristic
938C22×C11#58511yescharacteristic
939C22×C11#58511yescharacteristic
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—22no—
949C2×D11—22no—
950C2×D11—22no—
951C2×D11—22no—
952C2×D11—22no—
953C2×D11—22no—
954C2×D11—22no—
955C2×D11—416no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—88no—
961C2×D11C2×#11714yes—
962C2×D11C2×#11714yes—
963C4×C11—22no—
964C4×C11—22no—
965C4×C11—22no—
966C4×C11—22no—
967C4×C11—22no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976Dic11—22no—
977Dic11—22no—
978Dic11—22no—
979Dic11—22no—
980Dic11—22no—
981Dic11—22no—
982Dic11—22no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989C25—111no—
990C25—111no—
991C22×D4—111no—
992C22×D4—111no—
993C22×D4—118no—
994C22×D4—111no—
995C22×D4—224no—
996C22×D4—224no—
997C22×D4C22×D1111yescharacteristic
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×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—224no—
1016C23×C4—442no—
1017C23×C4—442no—
1018C23×C4C22×D1111yescharacteristic
1019C23×C4C22×D1111yescharacteristic
1020C23×C4C22×D1111yescharacteristic
1021C23×C4C22×D1111yescharacteristic
1022C4×D4—118no—
1023C4×D4—118no—
1024C4×D4—118no—
1025C4×D4—118no—
1026C4×D4—118no—
1027C4×D4—118no—
1028C4×D4—118no—
1029C4×D4C4×D1118yescomplemented
1030#117—118no—
1031#117—118no—
1032#117—442no—
1033#117—442no—
1034#117—442no—
1035#117—442no—
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—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—442no—
1052C2×C4⋊C4—442no—
1053C2×C4⋊C4C22×D1111yescharacteristic
1054C2×C4⋊C4C22×D1111yescharacteristic
1055C2×C4⋊C4C22×D1111yescharacteristic
1056C2×C4⋊C4C22×D1111yescharacteristic
1057C2×C4⋊C4C22×D1111yescharacteristic
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—118no—
1061C2×C22⋊C4—118no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—118no—
1071C2×C22⋊C4—118no—
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—224no—
1095C2×C22⋊C4—224no—
1096C2×C22⋊C4—224no—
1097C2×C22⋊C4—442no—
1098C2×C22⋊C4—442no—
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×C22⋊C4C22×D1111yescharacteristic
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—442no—
1125C2×C42—442no—
1126C2×C42C22×D1111yescharacteristic
1127C2×C42C22×D1111yescharacteristic
1128C2×C42C22×D1111yescharacteristic
1129#95—111no—
1130#95—111no—
1131#95—111no—
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#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
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
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174#95C22×D1111yescharacteristic
1175#95C22×D1111yescharacteristic
1176#95C22×D1111yescharacteristic
1177C2×C11—24no—
1178C2×C11—42no—
1179C2×C11C22×#11711yescharacteristic
1180C2×C11C4×H(5,𝔽2)11yescharacteristic
1181C2×C11C4×H(5,𝔽2)11yescharacteristic
1182C2×C11#349011yescharacteristic
1183C2×C11#349111yescharacteristic
1184C2×C11#350511yescharacteristic
1185C2×C11#350511yescharacteristic
1186D11—24no—
1187D11—24no—
1188D11—42no—
1189C24—111no—
1190C24—111no—
1191C24—114no—
1192C24—114no—
1193C24—114no—
1194C24—111no—
1195C24—114no—
1196C24—222no—
1197C24—222no—
1198C24—441no—
1199C24—441no—
1200C24—441no—
1201C24—441no—
1202C24—441no—
1203C24—441no—
1204C24—441no—
1205C24—441no—
1206C24C23×D1111yescharacteristic
1207C24C23×D1111yescharacteristic
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—114no—
1211C2×D4—114no—
1212C2×D4—114no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—2232no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4C2×C4×D1114yes—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—111no—
1238C22×C4—114no—
1239C22×C4—114no—
1240C22×C4—114no—
1241C22×C4—114no—
1242C22×C4—114no—
1243C22×C4—114no—
1244C22×C4—114no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—111no—
1250C22×C4—111no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—222no—
1255C22×C4—222no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
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×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—4416no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4—441no—
1293C22×C4—441no—
1294C22×C4—441no—
1295C22×C4—441no—
1296C22×C4C2×C4×D1114yes—
1297C22×C4C2×C4×D1114yescomplemented
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C22×C4C23×D1111yescharacteristic
1306C22×C4C23×D1111yescharacteristic
1307C22×C4C23×D1111yescharacteristic
1308C22×C4C23×D1111yescharacteristic
1309C22×C4C23×D1111yescharacteristic
1310C22×C4C23×D1111yescharacteristic
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—114no—
1316C4⋊C4—114no—
1317C4⋊C4—114no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C4⋊C4—441no—
1329C4⋊C4—441no—
1330C4⋊C4C2×C4×D1114yescomplemented
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—114no—
1338C22⋊C4—114no—
1339C22⋊C4—114no—
1340C22⋊C4—114no—
1341C22⋊C4—114no—
1342C22⋊C4—114no—
1343C22⋊C4—114no—
1344C22⋊C4—114no—
1345C22⋊C4—114no—
1346C22⋊C4—114no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4C2×C4×D1114yes—
1370C22⋊C4C2×C4×D1114yescomplemented
1371C42—41no—
1372C42—41no—
1373C42—114no—
1374C42—114no—
1375C42—114no—
1376C42—222no—
1377C42—222no—
1378C42—222no—
1379C42—222no—
1380C42—441no—
1381C42—441no—
1382C42—441no—
1383C42—441no—
1384C42—441no—
1385C42—441no—
1386C42—441no—
1387C42—441no—
1388C42—441no—
1389C42—441no—
1390C42C2×C4×D1114yescomplemented
1391C11#3425111yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—112no—
1403C23—112no—
1404C23—112no—
1405C23—112no—
1406C23—112no—
1407C23—112no—
1408C23—1116no—
1409C23—112no—
1410C23—228no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—444no—
1426C23—444no—
1427C23—444no—
1428C23—444no—
1429C23—444no—
1430C23—444no—
1431C23—444no—
1432C23—444no—
1433C23—882no—
1434C23—882no—
1435C23—882no—
1436C23—882no—
1437C23C22×C4×D1112yes—
1438C23C22×C4×D1112yes—
1439C23#41×D1112yes—
1440C23#41×D1112yes—
1441C23C24×D1111yescharacteristic
1442D4—28no—
1443D4—228no—
1444D4—228no—
1445D4—228no—
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—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—112no—
1485C2×C4—112no—
1486C2×C4—112no—
1487C2×C4—112no—
1488C2×C4—112no—
1489C2×C4—112no—
1490C2×C4—112no—
1491C2×C4—228no—
1492C2×C4—228no—
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—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—444no—
1526C2×C4—444no—
1527C2×C4—444no—
1528C2×C4—444no—
1529C2×C4—444no—
1530C2×C4—444no—
1531C2×C4—444no—
1532C2×C4—444no—
1533C2×C4—444no—
1534C2×C4—444no—
1535C2×C4—444no—
1536C2×C4—882no—
1537C2×C4—882no—
1538C2×C4—882no—
1539C2×C4—882no—
1540C2×C4C22×C4×D1112yes—
1541C2×C4C22×C4×D1112yes—
1542C2×C4C22×C4×D1112yes—
1543C2×C4C22×C4×D1112yes—
1544C2×C4C22×C4×D1112yes—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—114no—
1559C22—114no—
1560C22—222no—
1561C22—222no—
1562C22—222no—
1563C22—222no—
1564C22—222no—
1565C22—222no—
1566C22—222no—
1567C22—222no—
1568C22—222no—
1569C22—222no—
1570C22—222no—
1571C22—222no—
1572C22—222no—
1573C22—222no—
1574C22—222no—
1575C22—4416no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—888no—
1581C22D11×#11714yes—
1582C22C23×C4×D1111yescharacteristic
1583C22C2×#41×D1111yescharacteristic
1584C22C2×#41×D1111yescharacteristic
1585C22D11×H(5,𝔽2)11yescharacteristic
1586C22D11×H(5,𝔽2)11yescharacteristic
1587C22#1062345511yescharacteristic
1588C22#1062345711yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—222no—
1603C4—222no—
1604C4—222no—
1605C4—222no—
1606C4—222no—
1607C4—222no—
1608C4—222no—
1609C4—441no—
1610C4—441no—
1611C4—441no—
1612C4—441no—
1613C4—441no—
1614C4—441no—
1615C2—24no—
1616C2—42no—
1617C2—224no—
1618C2—224no—
1619C2—442no—
1620C2C2×D11×#11711yescharacteristic
1621C2#1308182011yescharacteristic
1622C2#1308182211yescharacteristic
1623C2#1308230211yescharacteristic
1624C2#1308231011yescharacteristic
1625C2#1308244811yescharacteristic
1626C2#1308245411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2318C2
socle, cosocleC23×C11C25
prime radicalC22×D4×D11C22
hypercenter#2318D11
hypocenterC11#34251
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
2. #13071555C2semidirect
3. #13071553C2semidirect
4. #13071551C2semidirect
5. #13071549C2semidirect
6. #13071544C2semidirect
7. #13071542C2semidirect
8. #13071540C2semidirect
9. #13071538C2semidirect
10. #13071475C2semidirect
11. #13071473C2semidirect
12. #13071471C2semidirect
13. #13071469C2semidirect
14. #13071464C2semidirect
15. #13071462C2semidirect
16. #13071460C2semidirect
17. #13071458C2semidirect
18. #13071250C2semidirect
19. #13071244C2semidirect
20. #13071242C2semidirect
21. #13071227C2semidirect
23. #13071061C2semidirect
24. #13071056C2semidirect
25. #13071055C2semidirect
26. #13071052C2semidirect
28. D11×#385C2semidirect
29. #13070968C2semidirect
30. C2×#10622279C2semidirect
31. C11×#2318C2semidirect
41. C2×#66979C22semidirect
42. C22×C4×Dic11C22semidirect
43. C22×C4×Dic11C22semidirect
44. #10623076C4semidirect
47. C2×#66945C22semidirect
48. C2×C4⋊C4×D11C22semidirect
49. C2×C4⋊C4×D11C22semidirect
58. C2×#66930C22semidirect
61. C2×#66925C22semidirect
62. C11×#388C22semidirect
63. C11×#388C22semidirect
64. C11×#387C22semidirect
65. C11×#387C22semidirect
68. C11×#385C22semidirect
69. C11×#385C22semidirect
70. C11×#383C22semidirect
71. C11×#382C22semidirect
72. C11×#381C22semidirect
73. C11×#380C22semidirect
74. C4×C11×C22⋊C4C22semidirect
75. C2×C11×#95C22semidirect
80. #10622823C22semidirect
81. #10622823C22semidirect
82. C4×C22⋊Dic11C22semidirect
83. C4×C22⋊Dic11C22semidirect
84. C2×C11⋊#95C22semidirect
85. #10622603C22semidirect
86. #10622603C22semidirect
91. #10622600C22semidirect
92. #10622600C22semidirect
93. #10622600C22semidirect
94. #10622594C22semidirect
95. #10622594C22semidirect
96. #10622591C22semidirect
97. #10622591C22semidirect
98. #10622590C22semidirect
99. C4⋊C4×Dic11C22semidirect
108. #10622564C22semidirect
109. #10622564C22semidirect
110. #10622563C22semidirect
111. #10622563C22semidirect
112. #10622559C22semidirect
113. #10622559C22semidirect
114. #10622558C22semidirect
115. #10622558C22semidirect
116. #10622557C22semidirect
117. #10622557C22semidirect
118. #10622556C22semidirect
119. #10622555C22semidirect
120. C22⋊C4×Dic11C22semidirect
121. C22⋊C4×Dic11C22semidirect
122. C22⋊C4×Dic11C22semidirect
125. C4×(C2×D11)⋊C4C22semidirect
126. C4×(C2×D11)⋊C4C22semidirect
127. C4×(C2×D11)⋊C4C22semidirect
128. C4×C4⋊Dic11C22semidirect
129. #10622545C22semidirect
130. #10622545C22semidirect
131. C4×Dic11⋊C4C22semidirect
132. #10622283C22semidirect
133. #10622283C22semidirect
134. #10622282C22semidirect
135. #10622282C22semidirect
136. #10622282C22semidirect
137. #10622282C22semidirect
142. #10622280C22semidirect
143. #10622280C22semidirect
144. #10622280C22semidirect
151. #10622279C22semidirect
152. #10622279C22semidirect
153. #10622279C22semidirect
154. #10622279C22semidirect
155. #10622279C22semidirect
156. #10622279C22semidirect
157. #10622279C22semidirect
164. #10622277C22semidirect
165. #10622277C22semidirect
168. D11×#95C22semidirect
169. D11×#95C22semidirect
170. #10622268C22semidirect
171. #10622268C22semidirect
172. #10622267C22semidirect
173. #10622267C22semidirect
174. #10622266C22semidirect
175. #10622266C22semidirect
176. #10622265C22semidirect
177. #10622265C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622264C22semidirect
181. #10622264C22semidirect
182. #10622264C22semidirect
183. #10622263C22semidirect
184. #10622263C22semidirect
185. #10622262C22semidirect
186. #10622261C22semidirect
187. #10622261C22semidirect
221. C4×D4×C11C2×C4semidirect
246. D4×Dic11C2×C4semidirect
247. C4×C22⋊D11C2×C4semidirect
248. C4×C22⋊D11C2×C4semidirect
251. C2×(C2×D11)⋊C4C2×C4semidirect
311. #66946C2×C4semidirect
313. #66945C2×C4semidirect
316. (C22⋊D11)⋊C4C2×C4semidirect
317. (C22⋊D11)⋊C4C2×C4semidirect
323. C22⋊C4×D11C2×C4semidirect
325. C4×D44C2×C4semidirect
327. #66925C2×C4semidirect
410. C22×C4×C11C22×C4semidirect
441. C22×Dic11C22×C4semidirect
497. C2×C4×D11C22×C4semidirect
498. C2×C4×D11C22×C4semidirect
503. C11×C4⋊C4C22×C4semidirect
511. C11×C22⋊C4C22×C4semidirect
514. C42×C11C22×C4semidirect
522. C22⋊Dic11C22×C4semidirect
545. (C2×D11)⋊C4C22×C4semidirect
546. (C2×D11)⋊C4C22×C4semidirect
551. C4⋊Dic11C22×C4semidirect
560. Dic11⋊C4C22×C4semidirect
561. Dic11⋊C4C22×C4semidirect
576. C4×Dic11C22×C4semidirect
577. C4×Dic11C22×C4semidirect
578. C4×Dic11C22×C4semidirect
599. #2318D11semidirect
652. C22×D11#117semidirect
807. #388C2×D11semidirect
808. #388C2×D11semidirect
823. #387C2×D11semidirect
824. #387C2×D11semidirect
855. #385C2×D11semidirect
856. #385C2×D11semidirect
860. #383C2×D11semidirect
864. #382C2×D11semidirect
870. #381C2×D11semidirect
878. #380C2×D11semidirect
908. C4×C22⋊C4C2×D11semidirect
918. C2×#95C2×D11semidirect
1029. C4×D4C4×D11semidirect
1297. C22×C4C2×C4×D11semidirect
1330. C4⋊C4C2×C4×D11semidirect
1370. C22⋊C4C2×C4×D11semidirect
1390. C42C2×C4×D11semidirect
1391. C11#34251semidirect

Maximal subgroups

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

subgroupindex
C2×#106230762
#130715552
#130715532
#130715512
#130715492
#130715442
#130715422
#130715402
#130715382
#130714752
#130714732
#130714712
#130714692
#130714642
#130714622
#130714602
#130714582
#130712502
#130712442
#130712422
#130712272
#130711902
#130710612
#130710562
#130710552
#130710522
D11×#3862
D11×#3852
#130709682
C2×#106222792
C11×#23182
#3425111