Finite Group Databasebeta

← #14918347

Subgroups — #14918347

Order 2816.

2292 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623118C211yesmaximal, characteristic
2#13071804C211yesmaximal, characteristic, complemented
3#13071783C211yesmaximal, characteristic, complemented
4#13071766C211yesmaximal, characteristic, complemented
5#13071759C211yesmaximal, characteristic, complemented
6#13071737C211yesmaximal, characteristic, complemented
7#13071689C211yesmaximal, characteristic, complemented
8#13071616C211yesmaximal, characteristic, complemented
9#13071614C211yesmaximal, characteristic, complemented
10#13071543C211yesmaximal, characteristic, complemented
11D4×Dic11⋊C4C211yesmaximal, characteristic, complemented
12#13071506C211yesmaximal, characteristic, complemented
13#13071470C211yesmaximal, characteristic, complemented
14#13071461C211yesmaximal, characteristic, complemented
15#13071461C211yesmaximal, characteristic, complemented
16#13071425C211yesmaximal, characteristic, complemented
17#13071407C211yesmaximal, characteristic, complemented
18#13071393C211yesmaximal, characteristic, complemented
19#13071392C211yesmaximal, characteristic, complemented
20#13071344C211yesmaximal, characteristic, complemented
21#13071291C211yesmaximal, characteristic, complemented
22#13071281C211yesmaximal, characteristic, complemented
23#13071277C211yesmaximal, characteristic
24#13071253C211yesmaximal, characteristic, complemented
25#13071242C211yesmaximal, characteristic, complemented
26#13071228C211yesmaximal, characteristic, complemented
27#13071220C211yesmaximal, characteristic, complemented
28C4×#66988C211yesmaximal, characteristic, complemented
29#13071095C211yesmaximal, characteristic, complemented
30C2×#10622558C211yesmaximal, characteristic, complemented
31C11×#2358C211yesmaximal, characteristic
32C2×C11×#120C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C22×C11×C22⋊C4C2211yescharacteristic
36C22×C11×C22⋊C4C2211yescharacteristic
37C22×C22⋊Dic11C2211yescharacteristic
38C22×C22⋊Dic11C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40C2×#66989C2211yescharacteristic
41C2×#66988C2211yescharacteristic
42C2×#66988C2211yescharacteristic
43C2×#66988C2211yescharacteristic
44C2×D4×Dic11C2211yescharacteristic
45C2×D4×Dic11C2211yescharacteristic
46C2×D4×Dic11C2211yescharacteristic
47C22×Dic11⋊C4C2211yescharacteristic
48C22×Dic11⋊C4C2211yescharacteristic, complemented
49C22×C4×Dic11C2211yescharacteristic
50#10623118C4116yescomplemented
51C2×#66940C2211yescharacteristic, complemented
52C2×#66932C2211yescharacteristic
53C2×#66932C2211yescharacteristic
54C2×#66931C2211yescharacteristic
55C2×#66931C2211yescharacteristic
56C2×#66930C2211yescharacteristic
57C2×#66930C2211yescharacteristic
58C2×#66930C2211yescharacteristic
59C2×#66930C2211yescharacteristic
60C11×#390C2211yescharacteristic
61C11×#388C2211yescharacteristic
62C11×#388C2211yescharacteristic
63C11×#386C2211yescharacteristic
64C11×#386C2211yescharacteristic
65C11×#386C2211yescharacteristic
66C11×#385C2211yescharacteristic
67C11×#385C2211yescharacteristic
68C4×C11×C22⋊C4C2211yescharacteristic
69C4×C11×C22⋊C4C2211yescharacteristic
70#10622860C2211yescharacteristic
71#10622834C2211yescharacteristic
72#10622834C2211yescharacteristic
73#10622833C2211yescharacteristic
74#10622833C2211yescharacteristic
75#10622833C2211yescharacteristic
76#10622823C2211yescharacteristic
77#10622823C2211yescharacteristic
78#10622823C2211yescharacteristic
79#10622823C2211yescharacteristic
80#10622823C2211yescharacteristic
81#10622823C2211yescharacteristic
82#10622823C2211yescharacteristic
83#10622823C2211yescharacteristic
84#10622823C2211yescharacteristic, complemented
85C4×C22⋊Dic11C2211yescharacteristic
86C4×C22⋊Dic11C2211yescharacteristic
87C4×C22⋊Dic11C2211yescharacteristic
88C4×C22⋊Dic11C2211yescharacteristic
89C4×C22⋊Dic11C2211yescharacteristic, complemented
90C4×C22⋊Dic11C2211yescharacteristic, complemented
91C2×C11⋊#95C2211yescharacteristic
92C2×C11⋊#95C2211yescharacteristic
93#10622591C2211yescharacteristic, complemented
94#10622591C2211yescharacteristic, complemented
95#10622589C2211yescharacteristic, complemented
96C4⋊C4×Dic11C2211yescharacteristic, complemented
97C4⋊C4×Dic11C2211yescharacteristic, complemented
98#10622586C2211yescharacteristic, complemented
99#10622586C2211yescharacteristic, complemented
100#10622585C2211yescharacteristic, complemented
101#10622585C2211yescharacteristic, complemented
102#10622585C2211yescharacteristic, complemented
103#10622585C2211yescharacteristic, complemented
104#10622564C2211yescharacteristic
105#10622564C2211yescharacteristic
106#10622564C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622563C2211yescharacteristic
109#10622559C2211yescharacteristic
110#10622559C2211yescharacteristic
111#10622559C2211yescharacteristic
112#10622559C2211yescharacteristic
113#10622559C2211yescharacteristic, complemented
114#10622559C2211yescharacteristic, complemented
115#10622558C2211yescharacteristic
116#10622558C2211yescharacteristic
117#10622558C2211yescharacteristic
118#10622558C2211yescharacteristic
119#10622558C2211yescharacteristic
120#10622558C2211yescharacteristic
121#10622558C2211yescharacteristic
122#10622558C2211yescharacteristic
123#10622558C2211yescharacteristic
124#10622558C2211yescharacteristic
125#10622558C2211yescharacteristic
126#10622558C2211yescharacteristic
127#10622558C2211yescharacteristic, complemented
128#10622558C2211yescharacteristic, complemented
129#10622557C2211yescharacteristic
130#10622557C2211yescharacteristic
131#10622557C2211yescharacteristic
132#10622557C2211yescharacteristic
133#10622557C2211yescharacteristic, complemented
134#10622557C2211yescharacteristic, complemented
135#10622557C2211yescharacteristic, complemented
136#10622557C2211yescharacteristic, complemented
137#10622556C2211yescharacteristic
138#10622556C2211yescharacteristic
139#10622556C2211yescharacteristic, complemented
140#10622555C2211yescharacteristic
141#10622555C2211yescharacteristic
142#10622555C2211yescharacteristic
143#10622555C2211yescharacteristic
144#10622555C2211yescharacteristic
145#10622555C2211yescharacteristic
146#10622555C2211yescharacteristic, complemented
147#10622555C2211yescharacteristic, complemented
148C22⋊C4×Dic11C2211yescharacteristic
149C22⋊C4×Dic11C2211yescharacteristic
150C22⋊C4×Dic11C2211yescharacteristic
151C22⋊C4×Dic11C2211yescharacteristic, complemented
152#10622546C2211yescharacteristic, complemented
153#10622546C2211yescharacteristic, complemented
154#10622546C2211yescharacteristic, complemented
155#10622546C2211yescharacteristic, complemented
156#10622545C2211yescharacteristic, complemented
157C4×Dic11⋊C4C2211yescharacteristic, complemented
158C4×Dic11⋊C4C2211yescharacteristic, complemented
159C4×Dic11⋊C4C2211yescharacteristic, complemented
160C4×Dic11⋊C4C2211yescharacteristic, complemented
161#10622542C2211yescharacteristic, complemented
162#10622541C2211yescharacteristic, complemented
163#10622541C2211yescharacteristic, complemented
164#10622268C2211yescharacteristic, complemented
165#10622268C2211yescharacteristic, complemented
166#10622267C2211yescharacteristic, complemented
167#10622267C2211yescharacteristic, complemented
168#10622266C2211yescharacteristic, complemented
169#10622266C2211yescharacteristic, complemented
170#10622265C2211yescharacteristic, complemented
171#10622265C2211yescharacteristic, complemented
172#10622265C2211yescharacteristic, complemented
173#10622265C2211yescharacteristic, complemented
174#10622264C2211yescharacteristic, complemented
175#10622264C2211yescharacteristic, complemented
176#10622263C2211yescharacteristic, complemented
177#10622263C2211yescharacteristic, complemented
178#10622262C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, 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
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C11×#120C2×C418yes—
207C4×D4×C11—42no—
208C4×D4×C11—42no—
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4—42no—
213C2×C11×C22⋊C4—42no—
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊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×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C22⋊Dic11—42no—
232C2×C22⋊Dic11C2×C418yescomplemented
233C2×C22⋊Dic11C2×C418yescomplemented
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
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
258#66989C2×C418yescomplemented
259#66988C2×C418yescomplemented
260#66988C2×C418yescomplemented
261#66988C2×C418yescomplemented
262D4×Dic11—42no—
263D4×Dic11C2×C418yescomplemented
264D4×Dic11C2×C418yescomplemented
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×Dic11⋊C4—42no—
271C2×Dic11⋊C4—42no—
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×C4×Dic11—42no—
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
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317#66940—42no—
318#66932C2×C418yescomplemented
319#66932C2×C418yescomplemented
320#66931C2×C418yescomplemented
321#66931C2×C418yescomplemented
322#66930—42no—
323#66930—42no—
324#66930C2×C418yescomplemented
325#66930C2×C418yescomplemented
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
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
370#34458—111nomaximal, Sylow
371C24×C11—22no—
372C24×C11—22no—
373C24×C11—41no—
374C24×C11—41no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11C22×C414yes—
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C2×D4×C11—22no—
383C2×D4×C11—22no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
387C2×D4×C11—41no—
388C2×D4×C11C22×C414yes—
389C2×D4×C11C22×C414yes—
390C2×D4×C11C22×C414yes—
391C22×C4×C11—22no—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—41no—
396C22×C4×C11—41no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×Dic11—22no—
418C22×Dic11—22no—
419C22×Dic11—22no—
420C22×Dic11—22no—
421C22×Dic11—41no—
422C22×Dic11—41no—
423C22×Dic11—41no—
424C22×Dic11—41no—
425C22×Dic11—41no—
426C22×Dic11—41no—
427C22×Dic11—41no—
428C22×Dic11—41no—
429C22×Dic11—41no—
430C22×Dic11—41no—
431C22×Dic11—41no—
432C22×Dic11—41no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11C22×C414yes—
437C22×Dic11C22×C414yes—
438C22×Dic11C22×C414yes—
439C22×Dic11C22×C414yes—
440C22×Dic11C22×C414yes—
441C22×Dic11C2411yescharacteristic
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
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C2×Dic22—41no—
458C2×Dic22—41no—
459C2×Dic22C22×C414yes—
460C11×C4⋊C4—22no—
461C11×C4⋊C4—41no—
462C11×C4⋊C4—41no—
463C11×C22⋊C4—22no—
464C11×C22⋊C4—22no—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—41no—
468C11×C22⋊C4—41no—
469C11×C22⋊C4—41no—
470C11×C22⋊C4—41no—
471C11×C22⋊C4—41no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4C22×C414yes—
475C11×C22⋊C4C22×C414yes—
476C11×C22⋊C4C22×C414yes—
477C42×C11—41no—
478C42×C11—41no—
479C42×C11—41no—
480C22⋊Dic11—22no—
481C22⋊Dic11—22no—
482C22⋊Dic11—41no—
483C22⋊Dic11—41no—
484C22⋊Dic11—41no—
485C22⋊Dic11—41no—
486C22⋊Dic11—41no—
487C22⋊Dic11—41no—
488C22⋊Dic11—41no—
489C22⋊Dic11—41no—
490C22⋊Dic11—41no—
491C22⋊Dic11—41no—
492C22⋊Dic11—41no—
493C22⋊Dic11C22×C414yes—
494C22⋊Dic11C22×C414yes—
495C22⋊Dic11C22×C414yes—
496C22⋊Dic11C22×C414yes—
497C22⋊Dic11C22×C414yes—
498C22⋊Dic11C22×C414yes—
499C22⋊Dic11C22×C414yes—
500C22⋊Dic11C22×C414yes—
501C22⋊Dic11C22×C414yes—
502C22⋊Dic11C22×C414yes—
503C22⋊Dic11C22×C414yes—
504C4⋊Dic11—41no—
505C4⋊Dic11—41no—
506C4⋊Dic11—41no—
507C4⋊Dic11C22×C414yes—
508C4⋊Dic11C22×C414yes—
509Dic11⋊C4—22no—
510Dic11⋊C4—22no—
511Dic11⋊C4—22no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4C22×C414yes—
530Dic11⋊C4C22×C414yes—
531Dic11⋊C4C22×C414yes—
532Dic11⋊C4C22×C414yes—
533Dic11⋊C4C22×C414yes—
534Dic11⋊C4C22×C414yes—
535C4×Dic11—22no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539C4×Dic11—41no—
540C4×Dic11—41no—
541C4×Dic11—41no—
542C4×Dic11—41no—
543C4×Dic11—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549C4×Dic11—41no—
550C4×Dic11C22×C414yes—
551C4×Dic11C22×C414yes—
552C4×Dic11C22×C414yes—
553C2×#551—111no—
554#2383—111no—
555#2378—111no—
556#2376—111no—
557#2376—111no—
558#2373—111no—
559#2367—111no—
560#2360—111no—
561#2359—111no—
562#2358D1111yescharacteristic
563#2352—111no—
564D4×C4⋊C4—111no—
565#2347—111no—
566#2343—111no—
567#2342—111no—
568#2342—111no—
569#2337—111no—
570#2335—111no—
571#2334—111no—
572#2334—111no—
573#2329—111no—
574#2323—111no—
575#2322—111no—
576#2321—111no—
577#2319—111no—
578#2318—111no—
579#2315—111no—
580#2314—111no—
581C4×#123—111no—
582#2296—111no—
583C2×#388—111no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—28no—
607C23×C11—44no—
608C23×C11—44no—
609C23×C11—82no—
610C23×C11—82no—
611C23×C11—82no—
612C23×C11—82no—
613C23×C11C23×C412yes—
614C23×C11C23×C412yes—
615C23×C11C23×C412yes—
616C23×C11C23×C412yes—
617C23×C11H(5,𝔽2)12yes—
618C23×C112−1+412yes—
619C23×C11C2511yescharacteristic
620D4×C11—28no—
621D4×C11—44no—
622D4×C11—44no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—44no—
653C2×C4×C11—82no—
654C2×C4×C11—82no—
655C2×C4×C11—82no—
656C2×C4×C11—82no—
657C2×C4×C11C23×C412yes—
658C2×C4×C11C23×C412yes—
659C2×C4×C11C23×C412yes—
660C2×C4×C11H(5,𝔽2)12yes—
661C2×Dic11—28no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—44no—
703C2×Dic11—44no—
704C2×Dic11—44no—
705C2×Dic11—44no—
706C2×Dic11—44no—
707C2×Dic11—82no—
708C2×Dic11—82no—
709C2×Dic11C23×C412yes—
710C2×Dic11C23×C412yes—
711C2×Dic11C23×C412yes—
712C2×Dic11C23×C412yes—
713C2×Dic11C23×C412yes—
714C2×Dic11C23×C412yes—
715C2×Dic11C23×C412yes—
716C2×Dic11C23×C412yes—
717Dic22—44no—
718#551—1116no—
719C2×#126—111no—
720C2×#126—111no—
721C2×#124—111no—
722C2×#123—111no—
723C2×#123—111no—
724C2×#123—111no—
725C2×C22⋊Q8—111no—
726C2×C22⋊Q8—111no—
727C2×#120C2×D1111yescharacteristic
728C2×C4×Q8—111no—
729C2×C4×D4—111no—
730C2×C4×D4—111no—
731C2×C4×D4—111no—
732C2×C4×D4C2×D1111yescharacteristic
733C2×C4×D4C2×D1111yescharacteristic
734C2×#117—111no—
735C2×#117—111no—
736C2×#117—111no—
737C2×#117—111no—
738C22×C4⋊C4—111no—
739C22×C4⋊C4—111no—
740C22×C22⋊C4—111no—
741C22×C22⋊C4—111no—
742C22×C22⋊C4—111no—
743C22×C22⋊C4C2×D1111yescharacteristic
744C22×C22⋊C4C2×D1111yescharacteristic
745C22×C42—111no—
746#391—111no—
747#391—111no—
748#391—111no—
749#390—111no—
750#390—111no—
751#390C2×D1111yescharacteristic
752#389—111no—
753#389—111no—
754#389—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#389—111no—
760#389—111no—
761#389—111no—
762#389—111no—
763#389—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388C2×D1111yescharacteristic
791#388C2×D1111yescharacteristic
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—111no—
804#387—111no—
805#387—111no—
806#387—111no—
807#387—111no—
808#386—111no—
809#386—111no—
810#386—111no—
811#386C2×D1111yescharacteristic
812#386C2×D1111yescharacteristic
813#386C2×D1111yescharacteristic
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#385—111no—
823#385—111no—
824#385—111no—
825#385—111no—
826#385—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385C2×D1111yescharacteristic
831#385C2×D1111yescharacteristic
832#384—111no—
833#383—111no—
834#383—111no—
835#382—111no—
836#382—111no—
837#381—111no—
838#381—111no—
839#381—111no—
840#380—111no—
841#380—111no—
842#380—111no—
843#380—111no—
844#380—111no—
845#380—111no—
846#380—111no—
847#380—111no—
848#379—111no—
849C4×C4⋊C4—111no—
850C4×C4⋊C4—111no—
851C4×C4⋊C4—111no—
852C4×C4⋊C4—111no—
853C4×C4⋊C4—111no—
854C4×C4⋊C4—111no—
855C4×C4⋊C4—111no—
856C4×C4⋊C4—111no—
857C4×C4⋊C4—111no—
858C4×C4⋊C4—111no—
859C4×C22⋊C4—111no—
860C4×C22⋊C4—111no—
861C4×C22⋊C4—111no—
862C4×C22⋊C4—111no—
863C4×C22⋊C4—111no—
864C4×C22⋊C4—111no—
865C4×C22⋊C4—111no—
866C4×C22⋊C4—111no—
867C4×C22⋊C4—111no—
868C4×C22⋊C4—111no—
869C4×C22⋊C4C2×D1111yescharacteristic
870C4×C22⋊C4C2×D1111yescharacteristic
871#376—111no—
872C2×#95—111no—
873C2×#95—111no—
874C22×C11—22no—
875C22×C11—22no—
876C22×C11—22no—
877C22×C11—22no—
878C22×C11—22no—
879C22×C11—22no—
880C22×C11—22no—
881C22×C11—22no—
882C22×C11—22no—
883C22×C11—22no—
884C22×C11—22no—
885C22×C11—22no—
886C22×C11—22no—
887C22×C11—22no—
888C22×C11—22no—
889C22×C11—41no—
890C22×C11—41no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—88no—
902C22×C11#52014yes—
903C22×C11C24×C411yescharacteristic
904C22×C11C2×H(5,𝔽2)11yescharacteristic
905C22×C11C2×H(5,𝔽2)11yescharacteristic
906C22×C11C2×2−1+411yescharacteristic
907C22×C11#58511yescharacteristic
908C22×C11#58511yescharacteristic
909C22×C11#58511yescharacteristic
910C4×C11—22no—
911C4×C11—22no—
912C4×C11—22no—
913C4×C11—22no—
914C4×C11—41no—
915C4×C11—41no—
916C4×C11—41no—
917C4×C11—41no—
918C4×C11—41no—
919C4×C11—41no—
920C4×C11—41no—
921Dic11—22no—
922Dic11—22no—
923Dic11—22no—
924Dic11—22no—
925Dic11—22no—
926Dic11—22no—
927Dic11—22no—
928Dic11—22no—
929Dic11—41no—
930Dic11—41no—
931Dic11—41no—
932Dic11—41no—
933Dic11—41no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937C25C22×D1111yescharacteristic
938C22×Q8—111no—
939C22×D4C22×D1111yescharacteristic
940C22×D4C22×D1111yescharacteristic
941C22×D4C22×D1111yescharacteristic
942C23×C4—111no—
943C23×C4—111no—
944C23×C4—111no—
945C23×C4—111no—
946C23×C4—111no—
947C23×C4—111no—
948C23×C4—111no—
949C23×C4—111no—
950C23×C4C22×D1111yescharacteristic
951C23×C4C22×D1111yescharacteristic
952C23×C4C22×D1111yescharacteristic
953C23×C4C22×D1111yescharacteristic
954C23×C4C22×D1111yescharacteristic
955#126—118no—
956#126—118no—
957#124—118no—
958#123—118no—
959#123—118no—
960#123—118no—
961C22⋊Q8—118no—
962C22⋊Q8—118no—
963#120C4×D1118yes—
964C4×Q8—442no—
965C4×D4—42no—
966C4×D4—42no—
967C4×D4—118no—
968C4×D4—118no—
969C4×D4—442no—
970#117—118no—
971#117—118no—
972#117—442no—
973#117—442no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—442no—
1006C2×C4⋊C4—442no—
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4—42no—
1011C2×C22⋊C4—42no—
1012C2×C22⋊C4—118no—
1013C2×C22⋊C4—118no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—442no—
1039C2×C22⋊C4C22×D1111yescharacteristic
1040C2×C22⋊C4C22×D1111yescharacteristic
1041C2×C22⋊C4C22×D1111yescharacteristic
1042C2×C22⋊C4C22×D1111yescharacteristic
1043C2×C22⋊C4C22×D1111yescharacteristic
1044C2×C22⋊C4C22×D1111yescharacteristic
1045C2×C22⋊C4C22×D1111yescharacteristic
1046C2×C22⋊C4C22×D1111yescharacteristic
1047C2×C22⋊C4C22×D1111yescharacteristic
1048C2×C22⋊C4C22×D1111yescharacteristic
1049C2×C22⋊C4C22×D1111yescharacteristic
1050C2×C22⋊C4C22×D1111yescharacteristic
1051C2×C22⋊C4C22×D1111yescharacteristic
1052C2×C22⋊C4C22×D1111yescharacteristic
1053C2×C42—111no—
1054C2×C42—111no—
1055C2×C42—111no—
1056C2×C42—111no—
1057C2×C42—111no—
1058C2×C42—111no—
1059C2×C42—111no—
1060C2×C42—111no—
1061C2×C42—111no—
1062C2×C42—111no—
1063C2×C42—111no—
1064C2×C42—111no—
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42—111no—
1068C2×C42—111no—
1069C2×C42—111no—
1070C2×C42—111no—
1071C2×C42—442no—
1072C2×C42C22×D1111yescharacteristic
1073C2×C42C22×D1111yescharacteristic
1074C2×C42C22×D1111yescharacteristic
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95C22×D1111yescharacteristic
1114#95C22×D1111yescharacteristic
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118#95C22×D1111yescharacteristic
1119C2×C11—24no—
1120C2×C11—42no—
1121C2×C11—42no—
1122C2×C11—42no—
1123C2×C11C2×#52011yescharacteristic
1124C2×C11#342811yescharacteristic
1125C2×C11C4×H(5,𝔽2)11yescharacteristic
1126C2×C11#353311yescharacteristic
1127C2×C11#353411yescharacteristic
1128C2×C11#356111yescharacteristic
1129C2×C11#356411yescharacteristic
1130C24—22no—
1131C24—22no—
1132C24—41no—
1133C24—41no—
1134C24—41no—
1135C24—41no—
1136C24C2×C4×D1114yes—
1137C24C23×D1111yescharacteristic
1138C24C23×D1111yescharacteristic
1139C24C23×D1111yescharacteristic
1140C24C23×D1111yescharacteristic
1141C2×Q8—114no—
1142C2×Q8—441no—
1143C2×Q8—441no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4C2×C4×D1114yes—
1151C2×D4C2×C4×D1114yes—
1152C2×D4C2×C4×D1114yes—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—114no—
1169C22×C4—111no—
1170C22×C4—111no—
1171C22×C4—111no—
1172C22×C4—111no—
1173C22×C4—111no—
1174C22×C4—111no—
1175C22×C4—111no—
1176C22×C4—111no—
1177C22×C4—114no—
1178C22×C4—114no—
1179C22×C4—114no—
1180C22×C4—114no—
1181C22×C4—111no—
1182C22×C4—111no—
1183C22×C4—111no—
1184C22×C4—111no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—111no—
1189C22×C4—222no—
1190C22×C4—222no—
1191C22×C4—222no—
1192C22×C4—222no—
1193C22×C4—441no—
1194C22×C4—441no—
1195C22×C4—441no—
1196C22×C4—441no—
1197C22×C4—441no—
1198C22×C4—441no—
1199C22×C4—441no—
1200C22×C4—441no—
1201C22×C4—441no—
1202C22×C4—441no—
1203C22×C4—441no—
1204C22×C4—441no—
1205C22×C4—441no—
1206C22×C4—441no—
1207C22×C4—441no—
1208C22×C4C23×D1111yescharacteristic
1209C22×C4C23×D1111yescharacteristic
1210C22×C4C23×D1111yescharacteristic
1211C22×C4C23×D1111yescharacteristic
1212C22×C4C23×D1111yescharacteristic
1213C22×C4C23×D1111yescharacteristic
1214C22×C4C23×D1111yescharacteristic
1215C22×C4C23×D1111yescharacteristic
1216C22×C4C23×D1111yescharacteristic
1217C22×C4C23×D1111yescharacteristic
1218C22×C4C23×D1111yescharacteristic
1219C4⋊C4—22no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—114no—
1223C4⋊C4—114no—
1224C4⋊C4—114no—
1225C4⋊C4—114no—
1226C4⋊C4—114no—
1227C4⋊C4—114no—
1228C4⋊C4—114no—
1229C4⋊C4—114no—
1230C4⋊C4—222no—
1231C4⋊C4—222no—
1232C4⋊C4—222no—
1233C4⋊C4—441no—
1234C4⋊C4—441no—
1235C4⋊C4—441no—
1236C4⋊C4—441no—
1237C4⋊C4—441no—
1238C4⋊C4—441no—
1239C4⋊C4—441no—
1240C4⋊C4—441no—
1241C4⋊C4—441no—
1242C4⋊C4—441no—
1243C4⋊C4—441no—
1244C4⋊C4—441no—
1245C4⋊C4—441no—
1246C4⋊C4—441no—
1247C4⋊C4—441no—
1248C4⋊C4—441no—
1249C4⋊C4—441no—
1250C4⋊C4—441no—
1251C4⋊C4—441no—
1252C4⋊C4—441no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—114no—
1265C22⋊C4—114no—
1266C22⋊C4—114no—
1267C22⋊C4—114no—
1268C22⋊C4—114no—
1269C22⋊C4—114no—
1270C22⋊C4—114no—
1271C22⋊C4—114no—
1272C22⋊C4—114no—
1273C22⋊C4—114no—
1274C22⋊C4—114no—
1275C22⋊C4—222no—
1276C22⋊C4—222no—
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⋊C4C2×C4×D1114yes—
1289C22⋊C4C2×C4×D1114yes—
1290C22⋊C4C2×C4×D1114yes—
1291C42—41no—
1292C42—41no—
1293C42—41no—
1294C42—114no—
1295C42—114no—
1296C42—114no—
1297C42—222no—
1298C42—441no—
1299C42—441no—
1300C42—441no—
1301C42—441no—
1302C42—441no—
1303C42—441no—
1304C42—441no—
1305C42—441no—
1306C42—441no—
1307C42—441no—
1308C42—441no—
1309C42—441no—
1310C42—441no—
1311C42—441no—
1312C11#3445811yescharacteristic, complemented, Sylow
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—28no—
1336C23—44no—
1337C23—44no—
1338C23—82no—
1339C23—82no—
1340C23—82no—
1341C23—82no—
1342C23C22×C4×D1112yes—
1343C23C22×C4×D1112yes—
1344C23C22×C4×D1112yes—
1345C23C22×C4×D1112yes—
1346C23#6703712yes—
1347C23#6704312yes—
1348C23C24×D1111yescharacteristic
1349Q8—444no—
1350D4—28no—
1351D4—44no—
1352D4—44no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—44no—
1383C2×C4—82no—
1384C2×C4—82no—
1385C2×C4—82no—
1386C2×C4—82no—
1387C2×C4—112no—
1388C2×C4—112no—
1389C2×C4—112no—
1390C2×C4—112no—
1391C2×C4—112no—
1392C2×C4—112no—
1393C2×C4—112no—
1394C2×C4—112no—
1395C2×C4—228no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—444no—
1437C2×C4—444no—
1438C2×C4—444no—
1439C2×C4—444no—
1440C2×C4—444no—
1441C2×C4—882no—
1442C2×C4—882no—
1443C2×C4C22×C4×D1112yes—
1444C2×C4C22×C4×D1112yes—
1445C2×C4C22×C4×D1112yes—
1446C2×C4#6703712yes—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—88no—
1475C22#1062307714yes—
1476C22C23×C4×D1111yescharacteristic
1477C22C2×#6703711yescharacteristic
1478C22C2×#6703711yescharacteristic
1479C22C2×#6704311yescharacteristic
1480C22#1062345311yescharacteristic
1481C22#1062345511yescharacteristic
1482C22#1062345511yescharacteristic
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—222no—
1495C4—222no—
1496C4—222no—
1497C4—222no—
1498C4—222no—
1499C4—222no—
1500C4—222no—
1501C4—222no—
1502C4—441no—
1503C4—441no—
1504C4—441no—
1505C4—441no—
1506C4—441no—
1507C4—441no—
1508C4—441no—
1509C4—441no—
1510C2—24no—
1511C2—42no—
1512C2—42no—
1513C2—42no—
1514C2C2×#1062307711yescharacteristic
1515C2#1308181411yescharacteristic
1516C2C4×#6703711yescharacteristic
1517C2#1308277511yescharacteristic
1518C2#1308279411yescharacteristic
1519C2#1308317511yescharacteristic
1520C2#1308323211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2358C2
socle, cosocleC23×C11C25
prime radicalC2×C11×#120C22
hypercenter#2358D11
hypocenterC11#34458
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. #13071804C2semidirect
3. #13071783C2semidirect
4. #13071766C2semidirect
5. #13071759C2semidirect
6. #13071737C2semidirect
7. #13071689C2semidirect
8. #13071616C2semidirect
9. #13071614C2semidirect
10. #13071543C2semidirect
11. D4×Dic11⋊C4C2semidirect
12. #13071506C2semidirect
13. #13071470C2semidirect
14. #13071461C2semidirect
15. #13071461C2semidirect
16. #13071425C2semidirect
17. #13071407C2semidirect
18. #13071393C2semidirect
19. #13071392C2semidirect
20. #13071344C2semidirect
21. #13071291C2semidirect
22. #13071281C2semidirect
24. #13071253C2semidirect
25. #13071242C2semidirect
26. #13071228C2semidirect
27. #13071220C2semidirect
28. C4×#66988C2semidirect
29. #13071095C2semidirect
30. C2×#10622558C2semidirect
48. C22×Dic11⋊C4C22semidirect
50. #10623118C4semidirect
51. C2×#66940C22semidirect
84. #10622823C22semidirect
89. C4×C22⋊Dic11C22semidirect
90. C4×C22⋊Dic11C22semidirect
93. #10622591C22semidirect
94. #10622591C22semidirect
95. #10622589C22semidirect
96. C4⋊C4×Dic11C22semidirect
97. C4⋊C4×Dic11C22semidirect
98. #10622586C22semidirect
99. #10622586C22semidirect
100. #10622585C22semidirect
101. #10622585C22semidirect
102. #10622585C22semidirect
103. #10622585C22semidirect
113. #10622559C22semidirect
114. #10622559C22semidirect
127. #10622558C22semidirect
128. #10622558C22semidirect
133. #10622557C22semidirect
134. #10622557C22semidirect
135. #10622557C22semidirect
136. #10622557C22semidirect
139. #10622556C22semidirect
146. #10622555C22semidirect
147. #10622555C22semidirect
151. C22⋊C4×Dic11C22semidirect
152. #10622546C22semidirect
153. #10622546C22semidirect
154. #10622546C22semidirect
155. #10622546C22semidirect
156. #10622545C22semidirect
157. C4×Dic11⋊C4C22semidirect
158. C4×Dic11⋊C4C22semidirect
159. C4×Dic11⋊C4C22semidirect
160. C4×Dic11⋊C4C22semidirect
161. #10622542C22semidirect
162. #10622541C22semidirect
163. #10622541C22semidirect
164. #10622268C22semidirect
165. #10622268C22semidirect
166. #10622267C22semidirect
167. #10622267C22semidirect
168. #10622266C22semidirect
169. #10622266C22semidirect
170. #10622265C22semidirect
171. #10622265C22semidirect
172. #10622265C22semidirect
173. #10622265C22semidirect
174. #10622264C22semidirect
175. #10622264C22semidirect
176. #10622263C22semidirect
177. #10622263C22semidirect
178. #10622262C22semidirect
179. #10622262C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622260C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
232. C2×C22⋊Dic11C2×C4semidirect
233. C2×C22⋊Dic11C2×C4semidirect
258. #66989C2×C4semidirect
259. #66988C2×C4semidirect
260. #66988C2×C4semidirect
261. #66988C2×C4semidirect
263. D4×Dic11C2×C4semidirect
264. D4×Dic11C2×C4semidirect
318. #66932C2×C4semidirect
319. #66932C2×C4semidirect
320. #66931C2×C4semidirect
321. #66931C2×C4semidirect
324. #66930C2×C4semidirect
325. #66930C2×C4semidirect
1312. C11#34458semidirect

Maximal subgroups

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

subgroupindex
C2×#106231182
#130718042
#130717832
#130717662
#130717592
#130717372
#130716892
#130716162
#130716142
#130715432
D4×Dic11⋊C42
#130715062
#130714702
#130714612
#130714252
#130714072
#130713932
#130713922
#130713442
#130712912
#130712812
#130712772
#130712532
#130712422
#130712282
#130712202
C4×#669882
#130710952
C2×#106225582
C11×#23582
#3445811