Finite Group Databasebeta

← #14915210

Subgroups — #14915210

Order 2816.

2546 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623124C211yesmaximal, characteristic
2#13071744C211yesmaximal, characteristic, complemented
3#13071738C211yesmaximal, characteristic, complemented
4#13071731C211yesmaximal, characteristic, complemented
5#13071725C211yesmaximal, characteristic, complemented
6#13071697C211yesmaximal, characteristic, complemented
7#13071686C211yesmaximal, characteristic, complemented
8#13071665C211yesmaximal, characteristic, complemented
9#13071661C211yesmaximal, characteristic, complemented
10#13071650C211yesmaximal, characteristic, complemented
11#13071627C211yesmaximal, characteristic, complemented
12#13071622C211yesmaximal, characteristic, complemented
13#13071607C211yesmaximal, characteristic, complemented
14#13071600C211yesmaximal, characteristic, complemented
15#13071595C211yesmaximal, characteristic, complemented
16#13071595C211yesmaximal, characteristic, complemented
17#13071430C211yesmaximal, characteristic, complemented
18#13071407C211yesmaximal, characteristic, complemented
19#13071388C211yesmaximal, characteristic, complemented
20#13071375C211yesmaximal, characteristic, complemented
21#13071242C211yesmaximal, characteristic, complemented
22#13071170C211yesmaximal, characteristic, complemented
23C4×#66938C211yesmaximal, characteristic, complemented
24C4×#66988C211yesmaximal, characteristic, complemented
25#13071126C211yesmaximal, characteristic, complemented
26#13071052C211yesmaximal, characteristic, complemented
27C2×#10622557C211yesmaximal, characteristic, complemented
28#13070975C211yesmaximal, characteristic, complemented
29#13070969C211yesmaximal, characteristic, complemented
30C4×D4×Dic11C211yesmaximal, characteristic, complemented
31C11×#2358C211yesmaximal, characteristic, complemented
32C2×C11×#120C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C22×C11×C22⋊C4C2211yescharacteristic
36C22×C11×C22⋊C4C2211yescharacteristic
37C2×#67006C2211yescharacteristic
38C22×C22⋊Dic11C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66991C2211yescharacteristic
44C2×#66989C2211yescharacteristic
45C2×#66988C2211yescharacteristic
46C2×D4×Dic11C2211yescharacteristic
47C2×D4×Dic11C2211yescharacteristic
48C2×D4×Dic11C2211yescharacteristic
49C2×C4×C22⋊D11C2211yescharacteristic
50C2×C4×C22⋊D11C2211yescharacteristic
51C22×Dic11⋊C4C2211yescharacteristic
52C22×C4×Dic11C2211yescharacteristic
53C22×C4×Dic11C2211yescharacteristic, complemented
54#10623124C4116yescomplemented
55C2×#66945C2211yescharacteristic, complemented
56C2×#66938C2211yescharacteristic
57C2×#66936C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic
61C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
62C2×#66932C2211yescharacteristic
63C2×#66932C2211yescharacteristic
64C2×#66931C2211yescharacteristic
65C2×C4×Dic22C2211yescharacteristic, complemented
66C11×#390C2211yescharacteristic
67C11×#388C2211yescharacteristic
68C11×#388C2211yescharacteristic
69C11×#386C2211yescharacteristic
70C11×#386C2211yescharacteristic
71C11×#386C2211yescharacteristic
72C11×#385C2211yescharacteristic
73C11×#385C2211yescharacteristic
74C4×C11×C22⋊C4C2211yescharacteristic
75C4×C11×C22⋊C4C2211yescharacteristic
76#10622834C2211yescharacteristic
77#10622833C2211yescharacteristic
78#10622833C2211yescharacteristic
79#10622833C2211yescharacteristic
80#10622826C2211yescharacteristic
81#10622826C2211yescharacteristic
82#10622826C2211yescharacteristic, complemented
83#10622823C2211yescharacteristic
84#10622823C2211yescharacteristic
85C4×C22⋊Dic11C2211yescharacteristic
86C4×C22⋊Dic11C2211yescharacteristic
87C4×C22⋊Dic11C2211yescharacteristic
88C4×C22⋊Dic11C2211yescharacteristic
89C4×C22⋊Dic11C2211yescharacteristic
90C4×C22⋊Dic11C2211yescharacteristic
91C4×C22⋊Dic11C2211yescharacteristic, complemented
92C4×C22⋊Dic11C2211yescharacteristic, complemented
93C2×C11⋊#95C2211yescharacteristic
94C2×C11⋊#95C2211yescharacteristic
95#10622603C2211yescharacteristic, complemented
96#10622603C2211yescharacteristic, complemented
97#10622591C2211yescharacteristic, complemented
98#10622591C2211yescharacteristic, complemented
99#10622591C2211yescharacteristic, complemented
100#10622591C2211yescharacteristic, complemented
101C4⋊C4×Dic11C2211yescharacteristic, complemented
102C4⋊C4×Dic11C2211yescharacteristic, complemented
103C4⋊C4×Dic11C2211yescharacteristic, complemented
104C4⋊C4×Dic11C2211yescharacteristic, complemented
105#10622587C2211yescharacteristic, complemented
106#10622571C2211yescharacteristic
107#10622571C2211yescharacteristic
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622570C2211yescharacteristic, complemented
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic, complemented
114#10622564C2211yescharacteristic
115#10622564C2211yescharacteristic
116#10622563C2211yescharacteristic
117#10622563C2211yescharacteristic
118#10622559C2211yescharacteristic
119#10622559C2211yescharacteristic
120#10622559C2211yescharacteristic, complemented
121#10622558C2211yescharacteristic
122#10622558C2211yescharacteristic
123#10622558C2211yescharacteristic, complemented
124#10622558C2211yescharacteristic, complemented
125#10622558C2211yescharacteristic, complemented
126#10622557C2211yescharacteristic
127#10622557C2211yescharacteristic
128#10622557C2211yescharacteristic
129#10622557C2211yescharacteristic
130#10622557C2211yescharacteristic
131#10622557C2211yescharacteristic
132#10622557C2211yescharacteristic
133#10622557C2211yescharacteristic
134#10622557C2211yescharacteristic
135#10622557C2211yescharacteristic
136#10622557C2211yescharacteristic, complemented
137#10622556C2211yescharacteristic, complemented
138#10622555C2211yescharacteristic, complemented
139C22⋊C4×Dic11C2211yescharacteristic
140C22⋊C4×Dic11C2211yescharacteristic
141C22⋊C4×Dic11C2211yescharacteristic
142C22⋊C4×Dic11C2211yescharacteristic
143C22⋊C4×Dic11C2211yescharacteristic
144C22⋊C4×Dic11C2211yescharacteristic
145C22⋊C4×Dic11C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
148C22⋊C4×Dic11C2211yescharacteristic
149C22⋊C4×Dic11C2211yescharacteristic
150C22⋊C4×Dic11C2211yescharacteristic
151C22⋊C4×Dic11C2211yescharacteristic, complemented
152C22⋊C4×Dic11C2211yescharacteristic, complemented
153C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
154C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
155C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
156C4×C4⋊Dic11C2211yescharacteristic, complemented
157#10622546C2211yescharacteristic, complemented
158#10622546C2211yescharacteristic, complemented
159C4×Dic11⋊C4C2211yescharacteristic, complemented
160C4×Dic11⋊C4C2211yescharacteristic, complemented
161C4×Dic11⋊C4C2211yescharacteristic, complemented
162C42×Dic11C2211yescharacteristic, complemented
163#10622541C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622279C2211yescharacteristic, complemented
168#10622279C2211yescharacteristic, complemented
169D11×#95C2211yescharacteristic, complemented
170#10622268C2211yescharacteristic, complemented
171#10622267C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622266C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622265C2211yescharacteristic, complemented
176#10622264C2211yescharacteristic, complemented
177#10622263C2211yescharacteristic, complemented
178#10622262C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622261C2211yescharacteristic, complemented
182#10622261C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×#120C2×C418yescomplemented
214C4×D4×C11—24no—
215C4×D4×C11—42no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4—24no—
220C2×C11×C22⋊C4—42no—
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238#67006C2×C418yescomplemented
239C2×C22⋊Dic11—24no—
240C2×C22⋊Dic11—42no—
241C2×C22⋊Dic11C2×C418yescomplemented
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262#66992C2×C418yescomplemented
263#66992C2×C418yescomplemented
264#66991C2×C418yescomplemented
265#66989C2×C418yescomplemented
266#66988C2×C418yescomplemented
267D4×Dic11—24no—
268D4×Dic11—42no—
269D4×Dic11C2×C418yescomplemented
270C4×C22⋊D11—24no—
271C4×C22⋊D11—42no—
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×Dic11⋊C4—42no—
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×Dic11⋊C4C2311yescharacteristic
300C2×C4×Dic11—42no—
301C2×C4×Dic11—42no—
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
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325#66945—42no—
326#66938C2×C418yescomplemented
327#66936C2×C418yescomplemented
328(C22⋊D11)⋊C4—24no—
329(C22⋊D11)⋊C4—42no—
330(C22⋊D11)⋊C4—42no—
331(C22⋊D11)⋊C4C2×C418yescomplemented
332#66932C2×C418yescomplemented
333#66932C2×C418yescomplemented
334#66931C2×C418yescomplemented
335C4×Dic22—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#34283—111nomaximal, Sylow
377C24×C11—22no—
378C24×C11—22no—
379C24×C11—41no—
380C24×C11—41no—
381C24×C11—41no—
382C24×C11—41no—
383C24×C11C22×C414yes—
384C24×C11C2411yescharacteristic
385C24×C11C2411yescharacteristic
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C2×D4×C11—22no—
390C2×D4×C11—22no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11C22×C414yes—
396C2×D4×C11C22×C414yes—
397C2×D4×C11C22×C414yes—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
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—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11C22×C414yes—
433C2×C22⋊D11C22×C414yes—
434C2×C22⋊D11C22×C414yes—
435C2×C22⋊D11C22×C414yes—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—22no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11—22no—
443C22×Dic11—41no—
444C22×Dic11—41no—
445C22×Dic11—41no—
446C22×Dic11—41no—
447C22×Dic11—41no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11C22×C414yes—
458C22×Dic11C22×C414yes—
459C22×Dic11C22×C414yes—
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C2×C4×D11—22no—
476C2×C4×D11—22no—
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×D11C22×C414yes—
484C2×Dic22—41no—
485C2×Dic22—41no—
486C2×Dic22C22×C414yes—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—22no—
489C11×C4⋊C4—41no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—41no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4C22×C414yes—
501C11×C22⋊C4C22×C414yes—
502C11×C22⋊C4C22×C414yes—
503C11×C22⋊C4#4114yes—
504C42×C11—22no—
505C42×C11—41no—
506C42×C11—41no—
507C22⋊Dic11—22no—
508C22⋊Dic11—22no—
509C22⋊Dic11—22no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—41no—
514C22⋊Dic11—41no—
515C22⋊Dic11—41no—
516C22⋊Dic11—41no—
517C22⋊Dic11C22×C414yes—
518C22⋊Dic11C22×C414yes—
519C22⋊Dic11C22×C414yes—
520C22⋊Dic11C22×C414yes—
521C22⋊Dic11C22×C414yes—
522C22⋊Dic11C22×C414yes—
523C22⋊Dic11C22×C414yes—
524C22⋊Dic11C22×C414yes—
525C22⋊Dic11C22×C414yes—
526C22⋊Dic11#4114yes—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4C22×C414yes—
534(C2×D11)⋊C4C22×C414yes—
535C4⋊Dic11—22no—
536C4⋊Dic11—22no—
537C4⋊Dic11—41no—
538C4⋊Dic11C22×C414yes—
539C4⋊Dic11C22×C414yes—
540Dic11⋊C4—22no—
541Dic11⋊C4—22no—
542Dic11⋊C4—22no—
543Dic11⋊C4—22no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4C22×C414yes—
551Dic11⋊C4C22×C414yes—
552Dic11⋊C4C22×C414yes—
553Dic11⋊C4C22×C414yes—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—22no—
558C4×Dic11—22no—
559C4×Dic11—22no—
560C4×Dic11—22no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563C4×Dic11—41no—
564C4×Dic11—41no—
565C4×Dic11—41no—
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—
577C2×#538—111no—
578#2374—111no—
579#2373—111no—
580#2373—111no—
581#2372—111no—
582#2368—111no—
583#2367—111no—
584#2364—111no—
585#2364—111no—
586#2363—111no—
587#2361—111no—
588#2360—111no—
589#2359—111no—
590#2358—111no—
591#2358—111no—
592#2358—111no—
593#2358D1111yescharacteristic, complemented
594#2337—111no—
595#2335—111no—
596#2334—111no—
597#2333—111no—
598#2318—111no—
599C4×#126—111no—
600C4×#124—111no—
601C4×#123—111no—
602C4×#121—111no—
603#2290—111no—
604C2×#388—111no—
605#2275—111no—
606#2273—111no—
607C42×D4—111no—
608C23×C11—21no—
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×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—28no—
631C23×C11—44no—
632C23×C11—44no—
633C23×C11—82no—
634C23×C11—82no—
635C23×C11—82no—
636C23×C11—82no—
637C23×C11C23×C412yes—
638C23×C11C23×C412yes—
639C23×C11C23×C412yes—
640C23×C11C23×C412yes—
641C23×C11C2×#4112yes—
642C23×C11C2×#4112yes—
643C23×C11C2511yescharacteristic
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11C23×C412yes—
651D4×C11—28no—
652D4×C11—44no—
653D4×C11—44no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
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—44no—
682C2×C4×C11—44no—
683C2×C4×C11—82no—
684C2×C4×C11—82no—
685C2×C4×C11—82no—
686C2×C4×C11C23×C412yes—
687C2×C4×C11C23×C412yes—
688C2×C4×C11C23×C412yes—
689C2×C4×C11C2×#4112yes—
690C2×C4×C11C2×#4112yes—
691C2×C4×C11H(5,𝔽2)12yes—
692C22⋊D11—28no—
693C22⋊D11—44no—
694C22⋊D11—44no—
695C22⋊D11—44no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
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—44no—
732C2×Dic11—44no—
733C2×Dic11—44no—
734C2×Dic11—44no—
735C2×Dic11—44no—
736C2×Dic11—82no—
737C2×Dic11—82no—
738C2×Dic11—82no—
739C2×Dic11C23×C412yes—
740C2×Dic11C23×C412yes—
741C2×Dic11C23×C412yes—
742C2×Dic11C23×C412yes—
743C2×Dic11C23×C412yes—
744C2×Dic11C23×C412yes—
745C2×Dic11C23×C412yes—
746C2×Dic11C2×#4112yes—
747C2×Dic11C2×#4112yes—
748C2×Dic11H(5,𝔽2)12yes—
749C4×D11—44no—
750C4×D11—82no—
751C4×D11—82no—
752Dic22—44no—
753#538—1116no—
754C2×#126—111no—
755C2×#126—111no—
756C2×#124—111no—
757C2×#124—111no—
758C2×#123—111no—
759C2×#123—111no—
760C2×C22⋊Q8—111no—
761C2×#121—111no—
762C2×#121—111no—
763C2×#121—111no—
764C2×#120—111no—
765C2×#120C2×D1111yescharacteristic
766C2×C4×Q8—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×D4—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4C2×D1111yescharacteristic
777C2×C4×D4C2×D1111yescharacteristic
778C2×#117—111no—
779C22×C4⋊C4—111no—
780C22×C22⋊C4—111no—
781C22×C22⋊C4—111no—
782C22×C22⋊C4—111no—
783C22×C22⋊C4C2×D1111yescharacteristic
784C22×C22⋊C4C2×D1111yescharacteristic
785C22×C42—111no—
786C22×C42—111no—
787#391—111no—
788#391—111no—
789#391—111no—
790#390—111no—
791#390—111no—
792#390—111no—
793#390—111no—
794#390C2×D1111yescharacteristic
795#389—111no—
796#389—111no—
797#389—111no—
798#389—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#388C2×D1111yescharacteristic
822#388C2×D1111yescharacteristic
823#387—111no—
824#387—111no—
825#387—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387—111no—
834#387—111no—
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386C2×D1111yescharacteristic
847#386C2×D1111yescharacteristic
848#386C2×D1111yescharacteristic
849#385—111no—
850#385—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385C2×D1111yescharacteristic
858#385C2×D1111yescharacteristic
859#383—111no—
860#382—111no—
861#381—111no—
862#380—111no—
863C4×C4⋊C4—111no—
864C4×C4⋊C4—111no—
865C4×C4⋊C4—111no—
866C4×C4⋊C4—111no—
867C4×C4⋊C4—111no—
868C4×C4⋊C4—111no—
869C4×C4⋊C4—111no—
870C4×C4⋊C4—111no—
871C4×C4⋊C4—111no—
872C4×C4⋊C4—111no—
873C4×C4⋊C4—111no—
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊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⋊C4C2×D1111yescharacteristic
902C4×C22⋊C4C2×D1111yescharacteristic
903#376—111no—
904#376—111no—
905C2×#95—111no—
906C2×#95—111no—
907C2×#95—111no—
908C43—111no—
909C22×C11—22no—
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—22no—
913C22×C11—22no—
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—22no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—88no—
937C22×C11C4×#4114yes—
938C22×C11C24×C411yescharacteristic
939C22×C11C22×#4111yescharacteristic
940C22×C11C22×#4111yescharacteristic
941C22×C11C2×H(5,𝔽2)11yescharacteristic
942C22×C11C2×H(5,𝔽2)11yescharacteristic
943C22×C11#58511yescharacteristic
944C22×C11#58511yescharacteristic
945C2×D11—22no—
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C4×C11—22no—
953C4×C11—22no—
954C4×C11—22no—
955C4×C11—22no—
956C4×C11—22no—
957C4×C11—22no—
958C4×C11—41no—
959C4×C11—41no—
960C4×C11—41no—
961C4×C11—41no—
962C4×C11—41no—
963Dic11—22no—
964Dic11—22no—
965Dic11—22no—
966Dic11—22no—
967Dic11—22no—
968Dic11—22no—
969Dic11—22no—
970Dic11—22no—
971Dic11—22no—
972Dic11—22no—
973Dic11—41no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978C25C22×D1111yescharacteristic
979C22×Q8—111no—
980C22×D4—111no—
981C22×D4—111no—
982C22×D4—111no—
983C22×D4—111no—
984C22×D4C22×D1111yescharacteristic
985C22×D4C22×D1111yescharacteristic
986C22×D4C22×D1111yescharacteristic
987C23×C4—111no—
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4—111no—
998C23×C4C22×D1111yescharacteristic
999C23×C4C22×D1111yescharacteristic
1000C23×C4C22×D1111yescharacteristic
1001C23×C4C22×D1111yescharacteristic
1002C23×C4C22×D1111yescharacteristic
1003#126—118no—
1004#126—118no—
1005#124—118no—
1006#124—118no—
1007#123—118no—
1008#123—118no—
1009C22⋊Q8—118no—
1010#121—118no—
1011#121—118no—
1012#121—118no—
1013#120—118no—
1014#120C4×D1118yescomplemented
1015C4×Q8—442no—
1016C4×D4—24no—
1017C4×D4—42no—
1018C4×D4—118no—
1019C4×D4—118no—
1020C4×D4—224no—
1021C4×D4—224no—
1022C4×D4—224no—
1023C4×D4—442no—
1024C4×D4—442no—
1025C4×D4—442no—
1026C4×D4—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—442no—
1048C2×C4⋊C4C22×D1111yescharacteristic
1049C2×C4⋊C4C22×D1111yescharacteristic
1050C2×C4⋊C4C22×D1111yescharacteristic
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4—118no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
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—111no—
1067C2×C22⋊C4—111no—
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—224no—
1083C2×C22⋊C4—442no—
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C22⋊C4C22×D1111yescharacteristic
1091C2×C22⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4C22×D1111yescharacteristic
1093C2×C22⋊C4C22×D1111yescharacteristic
1094C2×C22⋊C4C22×D1111yescharacteristic
1095C2×C22⋊C4C22×D1111yescharacteristic
1096C2×C22⋊C4C22×D1111yescharacteristic
1097C2×C22⋊C4C22×D1111yescharacteristic
1098C2×C42—111no—
1099C2×C42—111no—
1100C2×C42—111no—
1101C2×C42—111no—
1102C2×C42—111no—
1103C2×C42—111no—
1104C2×C42—111no—
1105C2×C42—111no—
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—442no—
1122C2×C42—442no—
1123C2×C42C22×D1111yescharacteristic
1124C2×C42C22×D1111yescharacteristic
1125C2×C42C22×D1111yescharacteristic
1126#95—111no—
1127#95—111no—
1128#95—111no—
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#95C22×D1111yescharacteristic
1161#95C22×D1111yescharacteristic
1162#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166C2×C11—24no—
1167C2×C11—42no—
1168C2×C11—42no—
1169C2×C11—42no—
1170C2×C11C2×C4×#4111yescharacteristic
1171C2×C11C4×H(5,𝔽2)11yescharacteristic
1172C2×C11C4×H(5,𝔽2)11yescharacteristic
1173C2×C11#351311yescharacteristic
1174C2×C11#351411yescharacteristic
1175C2×C11#351911yescharacteristic
1176C2×C11#352111yescharacteristic
1177D11—42no—
1178C24—22no—
1179C24—22no—
1180C24—41no—
1181C24—41no—
1182C24—41no—
1183C24—41no—
1184C24—111no—
1185C24C2×C4×D1114yes—
1186C24C23×D1111yescharacteristic
1187C24C23×D1111yescharacteristic
1188C24C23×D1111yescharacteristic
1189C24C23×D1111yescharacteristic
1190C2×Q8—114no—
1191C2×Q8—441no—
1192C2×Q8—441no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—114no—
1200C2×D4—114no—
1201C2×D4—114no—
1202C2×D4—114no—
1203C2×D4—222no—
1204C2×D4—222no—
1205C2×D4—441no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4C2×C4×D1114yes—
1212C2×D4C2×C4×D1114yes—
1213C2×D4C2×C4×D1114yes—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—111no—
1238C22×C4—111no—
1239C22×C4—114no—
1240C22×C4—114no—
1241C22×C4—114no—
1242C22×C4—114no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
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×C4C23×D1111yescharacteristic
1278C22×C4C23×D1111yescharacteristic
1279C22×C4C23×D1111yescharacteristic
1280C22×C4C23×D1111yescharacteristic
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—41no—
1291C4⋊C4—114no—
1292C4⋊C4—114no—
1293C4⋊C4—114no—
1294C4⋊C4—114no—
1295C4⋊C4—114no—
1296C4⋊C4—114no—
1297C4⋊C4—222no—
1298C4⋊C4—222no—
1299C4⋊C4—222no—
1300C4⋊C4—222no—
1301C4⋊C4—222no—
1302C4⋊C4—222no—
1303C4⋊C4—441no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C4⋊C4—441no—
1309C4⋊C4—441no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—114no—
1321C22⋊C4—114no—
1322C22⋊C4—114no—
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—222no—
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—441no—
1343C22⋊C4—441no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4C2×C4×D1114yes—
1349C22⋊C4C2×C4×D1114yes—
1350C22⋊C4C2×C4×D1114yes—
1351C22⋊C4#434114yes—
1352C42—22no—
1353C42—41no—
1354C42—41no—
1355C42—114no—
1356C42—114no—
1357C42—222no—
1358C42—222no—
1359C42—222no—
1360C42—222no—
1361C42—222no—
1362C42—222no—
1363C42—222no—
1364C42—441no—
1365C42—441no—
1366C42—441no—
1367C42—441no—
1368C42—441no—
1369C42—441no—
1370C42—441no—
1371C42—441no—
1372C42—441no—
1373C42—441no—
1374C42—441no—
1375C42—441no—
1376C42—441no—
1377C42—441no—
1378C11#3428311yescharacteristic, complemented, Sylow
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—28no—
1402C23—44no—
1403C23—44no—
1404C23—82no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—112no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23C22×C4×D1112yes—
1416C23C22×C4×D1112yes—
1417C23C22×C4×D1112yes—
1418C23C22×C4×D1112yes—
1419C23C2×#434112yes—
1420C23#41×D1112yes—
1421C23C24×D1111yescharacteristic
1422Q8—444no—
1423D4—28no—
1424D4—44no—
1425D4—44no—
1426D4—228no—
1427D4—444no—
1428D4—444no—
1429D4—444no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
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—44no—
1458C2×C4—44no—
1459C2×C4—82no—
1460C2×C4—82no—
1461C2×C4—82no—
1462C2×C4—112no—
1463C2×C4—112no—
1464C2×C4—112no—
1465C2×C4—112no—
1466C2×C4—112no—
1467C2×C4—112no—
1468C2×C4—112no—
1469C2×C4—112no—
1470C2×C4—112no—
1471C2×C4—112no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
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—444no—
1508C2×C4—444no—
1509C2×C4—444no—
1510C2×C4—444no—
1511C2×C4—444no—
1512C2×C4—444no—
1513C2×C4—882no—
1514C2×C4—882no—
1515C2×C4—882no—
1516C2×C4—882no—
1517C2×C4—882no—
1518C2×C4C22×C4×D1112yes—
1519C2×C4C22×C4×D1112yes—
1520C2×C4C22×C4×D1112yes—
1521C2×C4C2×#434112yes—
1522C2×C4C2×#434112yes—
1523C2×C4#6703712yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—88no—
1552C22—222no—
1553C22—222no—
1554C22—222no—
1555C22—441no—
1556C22—441no—
1557C22—441no—
1558C22—441no—
1559C22C4×#434114yes—
1560C22C23×C4×D1111yescharacteristic
1561C22C22×#434111yescharacteristic
1562C22C2×#6703711yescharacteristic
1563C22C2×#41×D1111yescharacteristic
1564C22#1062345311yescharacteristic
1565C22D11×H(5,𝔽2)11yescharacteristic
1566C22#1062345511yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—222no—
1579C4—222no—
1580C4—222no—
1581C4—222no—
1582C4—222no—
1583C4—222no—
1584C4—222no—
1585C4—222no—
1586C4—222no—
1587C4—222no—
1588C4—441no—
1589C4—441no—
1590C4—441no—
1591C4—441no—
1592C4—441no—
1593C2—24no—
1594C2—42no—
1595C2—42no—
1596C2—42no—
1597C2—442no—
1598C2C2×C4×#434111yescharacteristic
1599C2#1308182011yescharacteristic
1600C2C4×#6703711yescharacteristic
1601C2#1308254111yescharacteristic
1602C2#1308256411yescharacteristic
1603C2#1308264511yescharacteristic
1604C2#1308268111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2358C2
socle, cosocleC23×C11C25
prime radicalC2×#10623124C2
hypercenter#2358D11
hypocenterC11#34283
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. #13071744C2semidirect
3. #13071738C2semidirect
4. #13071731C2semidirect
5. #13071725C2semidirect
6. #13071697C2semidirect
7. #13071686C2semidirect
8. #13071665C2semidirect
9. #13071661C2semidirect
10. #13071650C2semidirect
11. #13071627C2semidirect
12. #13071622C2semidirect
13. #13071607C2semidirect
14. #13071600C2semidirect
15. #13071595C2semidirect
16. #13071595C2semidirect
17. #13071430C2semidirect
18. #13071407C2semidirect
19. #13071388C2semidirect
20. #13071375C2semidirect
21. #13071242C2semidirect
22. #13071170C2semidirect
23. C4×#66938C2semidirect
24. C4×#66988C2semidirect
25. #13071126C2semidirect
26. #13071052C2semidirect
27. C2×#10622557C2semidirect
28. #13070975C2semidirect
29. #13070969C2semidirect
30. C4×D4×Dic11C2semidirect
31. C11×#2358C2semidirect
53. C22×C4×Dic11C22semidirect
54. #10623124C4semidirect
55. C2×#66945C22semidirect
61. C2×(C22⋊D11)⋊C4C22semidirect
65. C2×C4×Dic22C22semidirect
82. #10622826C22semidirect
91. C4×C22⋊Dic11C22semidirect
92. C4×C22⋊Dic11C22semidirect
95. #10622603C22semidirect
96. #10622603C22semidirect
97. #10622591C22semidirect
98. #10622591C22semidirect
99. #10622591C22semidirect
100. #10622591C22semidirect
101. C4⋊C4×Dic11C22semidirect
102. C4⋊C4×Dic11C22semidirect
103. C4⋊C4×Dic11C22semidirect
104. C4⋊C4×Dic11C22semidirect
105. #10622587C22semidirect
110. #10622570C22semidirect
113. #10622569C22semidirect
120. #10622559C22semidirect
123. #10622558C22semidirect
124. #10622558C22semidirect
125. #10622558C22semidirect
136. #10622557C22semidirect
137. #10622556C22semidirect
138. #10622555C22semidirect
151. C22⋊C4×Dic11C22semidirect
152. C22⋊C4×Dic11C22semidirect
153. C4×(C2×D11)⋊C4C22semidirect
154. C4×(C2×D11)⋊C4C22semidirect
155. C4×(C2×D11)⋊C4C22semidirect
156. C4×C4⋊Dic11C22semidirect
157. #10622546C22semidirect
158. #10622546C22semidirect
159. C4×Dic11⋊C4C22semidirect
160. C4×Dic11⋊C4C22semidirect
161. C4×Dic11⋊C4C22semidirect
162. C42×Dic11C22semidirect
163. #10622541C22semidirect
164. #10622283C22semidirect
165. #10622282C22semidirect
166. #10622281C22semidirect
167. #10622279C22semidirect
168. #10622279C22semidirect
169. D11×#95C22semidirect
170. #10622268C22semidirect
171. #10622267C22semidirect
172. #10622267C22semidirect
173. #10622266C22semidirect
174. #10622266C22semidirect
175. #10622265C22semidirect
176. #10622264C22semidirect
177. #10622263C22semidirect
178. #10622262C22semidirect
179. #10622262C22semidirect
180. #10622262C22semidirect
181. #10622261C22semidirect
182. #10622261C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
213. C11×#120C2×C4semidirect
238. #67006C2×C4semidirect
241. C2×C22⋊Dic11C2×C4semidirect
262. #66992C2×C4semidirect
263. #66992C2×C4semidirect
264. #66991C2×C4semidirect
265. #66989C2×C4semidirect
266. #66988C2×C4semidirect
269. D4×Dic11C2×C4semidirect
326. #66938C2×C4semidirect
327. #66936C2×C4semidirect
331. (C22⋊D11)⋊C4C2×C4semidirect
332. #66932C2×C4semidirect
333. #66932C2×C4semidirect
334. #66931C2×C4semidirect
593. #2358D11semidirect
1014. #120C4×D11semidirect
1378. C11#34283semidirect

Maximal subgroups

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

subgroupindex
C2×#106231242
#130717442
#130717382
#130717312
#130717252
#130716972
#130716862
#130716652
#130716612
#130716502
#130716272
#130716222
#130716072
#130716002
#130715952
#130714302
#130714072
#130713882
#130713752
#130712422
#130711702
C4×#669382
C4×#669882
#130711262
#130710522
C2×#106225572
#130709752
#130709692
C4×D4×Dic112
C11×#23582
#3428311