Finite Group Databasebeta

← #14918173

Subgroups — #14918173

Order 2816.

2066 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623191C211yesmaximal, characteristic
2#13071803C211yesmaximal, characteristic, complemented
3#13071781C211yesmaximal, characteristic, complemented
4#13071766C211yesmaximal, characteristic, complemented
5#13071758C211yesmaximal, characteristic, complemented
6#13071750C211yesmaximal, characteristic, complemented
7#13071733C211yesmaximal, characteristic, complemented
8#13071699C211yesmaximal, characteristic, complemented
9#13071644C211yesmaximal, characteristic, complemented
10#13071641C211yesmaximal, characteristic, complemented
11#13071614C211yesmaximal, characteristic, complemented
12#13071612C211yesmaximal, characteristic, complemented
13#13071562C211yesmaximal, characteristic, complemented
14#13071550C211yesmaximal, characteristic, complemented
15#13071490C211yesmaximal, characteristic, complemented
16#13071481C211yesmaximal, characteristic, complemented
17#13071416C211yesmaximal, characteristic, complemented
18#13071415C211yesmaximal, characteristic, complemented
19#13071413C211yesmaximal, characteristic, complemented
20#13071404C211yesmaximal, characteristic, complemented
21#13071389C211yesmaximal, characteristic, complemented
22#13071377C211yesmaximal, characteristic
23#13071353C211yesmaximal, characteristic, complemented
24#13071344C211yesmaximal, characteristic, complemented
25#13071312C211yesmaximal, characteristic
26#13071295C211yesmaximal, characteristic, complemented
27#13071243C211yesmaximal, characteristic, complemented
28#13071173C211yesmaximal, characteristic, complemented
29C4×#66932C211yesmaximal, characteristic, complemented
30#13071079C211yesmaximal, characteristic, complemented
31C11×#2374C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×#66991C2211yescharacteristic
34C2×#66988C2211yescharacteristic
35C2×D4×Dic11C2211yescharacteristic
36C2×C4×C22⋊D11C2211yescharacteristic
37C2×#66979C2211yescharacteristic
38C2×#66977C2211yescharacteristic
39#10623191C4116yescomplemented
40C2×#66949C2211yescharacteristic
41C2×C4⋊C4×D11C2211yescharacteristic
42C2×#66943C2211yescharacteristic
43C2×#66942C2211yescharacteristic
44C2×#66936C2211yescharacteristic
45C2×#66936C2211yescharacteristic
46C2×(C22⋊D11)⋊C4C2211yescharacteristic
47C2×#66932C2211yescharacteristic
48C2×#66932C2211yescharacteristic
49C2×#66931C2211yescharacteristic
50C2×#66930C2211yescharacteristic
51C2×#66925C2211yescharacteristic
52C2×#66925C2211yescharacteristic
53C2×C4×Dic22C2211yescharacteristic
54C11×#390C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#387C2211yescharacteristic
60C11×#387C2211yescharacteristic
61C11×#386C2211yescharacteristic
62C4×C11×C4⋊C4C2211yescharacteristic
63C4×C11×C4⋊C4C2211yescharacteristic
64C4×C11×C22⋊C4C2211yescharacteristic
65C4×C11×C22⋊C4C2211yescharacteristic
66C4×C11×C22⋊C4C2211yescharacteristic
67C4×C11×C22⋊C4C2211yescharacteristic
68#10622833C2211yescharacteristic
69#10622826C2211yescharacteristic
70C4×C22⋊Dic11C2211yescharacteristic
71C4×C22⋊Dic11C2211yescharacteristic
72C2×C11⋊#95C2211yescharacteristic
73C2×C11⋊#95C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622600C2211yescharacteristic
76#10622600C2211yescharacteristic
77#10622598C2211yescharacteristic
78#10622594C2211yescharacteristic
79#10622594C2211yescharacteristic
80#10622591C2211yescharacteristic
81#10622589C2211yescharacteristic
82C4⋊C4×Dic11C2211yescharacteristic
83C4⋊C4×Dic11C2211yescharacteristic
84#10622586C2211yescharacteristic
85#10622586C2211yescharacteristic
86#10622585C2211yescharacteristic
87#10622585C2211yescharacteristic
88#10622585C2211yescharacteristic
89#10622585C2211yescharacteristic
90#10622571C2211yescharacteristic
91#10622571C2211yescharacteristic
92#10622571C2211yescharacteristic
93#10622570C2211yescharacteristic
94#10622570C2211yescharacteristic
95#10622570C2211yescharacteristic
96#10622570C2211yescharacteristic
97#10622564C2211yescharacteristic
98#10622564C2211yescharacteristic
99#10622563C2211yescharacteristic
100#10622563C2211yescharacteristic
101#10622559C2211yescharacteristic
102#10622559C2211yescharacteristic
103#10622559C2211yescharacteristic
104#10622559C2211yescharacteristic
105#10622559C2211yescharacteristic
106#10622559C2211yescharacteristic
107#10622558C2211yescharacteristic
108#10622558C2211yescharacteristic
109#10622558C2211yescharacteristic
110#10622558C2211yescharacteristic
111#10622557C2211yescharacteristic
112#10622557C2211yescharacteristic
113#10622557C2211yescharacteristic
114#10622557C2211yescharacteristic
115#10622557C2211yescharacteristic
116#10622557C2211yescharacteristic
117#10622555C2211yescharacteristic
118#10622555C2211yescharacteristic
119C22⋊C4×Dic11C2211yescharacteristic
120C22⋊C4×Dic11C2211yescharacteristic
121C22⋊C4×Dic11C2211yescharacteristic
122C22⋊C4×Dic11C2211yescharacteristic
123#10622553C2211yescharacteristic
124#10622553C2211yescharacteristic
125#10622553C2211yescharacteristic
126C4×(C2×D11)⋊C4C2211yescharacteristic
127C4×(C2×D11)⋊C4C2211yescharacteristic
128C4×C4⋊Dic11C2211yescharacteristic
129C4×C4⋊Dic11C2211yescharacteristic
130#10622546C2211yescharacteristic
131#10622546C2211yescharacteristic
132#10622546C2211yescharacteristic
133#10622546C2211yescharacteristic
134#10622546C2211yescharacteristic
135#10622546C2211yescharacteristic
136#10622546C2211yescharacteristic
137#10622546C2211yescharacteristic
138#10622545C2211yescharacteristic
139C4×Dic11⋊C4C2211yescharacteristic
140C4×Dic11⋊C4C2211yescharacteristic
141C4×Dic11⋊C4C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C42×Dic11C2211yescharacteristic
144#10622542C2211yescharacteristic
145#10622541C2211yescharacteristic
146#10622541C2211yescharacteristic
147#10622541C2211yescharacteristic
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622280C2211yescharacteristic
153#10622280C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622277C2211yescharacteristic
157#10622277C2211yescharacteristic
158#10622268C2211yescharacteristic
159#10622268C2211yescharacteristic
160#10622268C2211yescharacteristic
161#10622267C2211yescharacteristic
162#10622267C2211yescharacteristic
163#10622267C2211yescharacteristic
164#10622267C2211yescharacteristic
165#10622267C2211yescharacteristic
166#10622266C2211yescharacteristic
167#10622266C2211yescharacteristic
168#10622266C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622265C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622265C2211yescharacteristic
173#10622264C2211yescharacteristic
174#10622264C2211yescharacteristic
175#10622263C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C11×#123C2×C418yes—
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234#66991C2×C418yes—
235#66988C2×C418yes—
236D4×Dic11—42no—
237C4×C22⋊D11C2×C418yescomplemented
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248#66979—42no—
249C2×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258#66977C2×C418yescomplemented
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302#66949C2×C418yescomplemented
303C4⋊C4×D11C2×C418yescomplemented
304#66943C2×C418yescomplemented
305#66942C2×C418yescomplemented
306#66936C2×C418yescomplemented
307#66936C2×C418yescomplemented
308(C22⋊D11)⋊C4C2×C418yescomplemented
309#66932C2×C418yescomplemented
310#66932C2×C418yescomplemented
311#66931C2×C418yescomplemented
312#66930—42no—
313#66925—42no—
314#66925—42no—
315C4×Dic22—42no—
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
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
364#34452—111nomaximal, Sylow
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C2×D4×C11—41no—
369C2×D4×C11—41no—
370C2×D4×C11C22×C414yes—
371C22×C4×C11—22no—
372C22×C4×C11—41no—
373C22×C4×C11—41no—
374C22×C4×C11—41no—
375C22×C4×C11—41no—
376C22×C4×C11C22×C414yes—
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C2×C22⋊D11—41no—
391C2×C22⋊D11—41no—
392C2×C22⋊D11—41no—
393C2×C22⋊D11—41no—
394C2×C22⋊D11C22×C414yes—
395C2×C22⋊D11C22×C414yes—
396C22×Dic11—41no—
397C22×Dic11—41no—
398C22×Dic11—41no—
399C22×Dic11—41no—
400C22×Dic11—41no—
401C22×Dic11—41no—
402C22×Dic11—41no—
403C22×Dic11—41no—
404C22×Dic11—41no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11C22×C414yes—
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C2×C4×D11—41no—
424C2×C4×D11—41no—
425C2×C4×D11—41no—
426C2×C4×D11—41no—
427C2×C4×D11—41no—
428C2×C4×D11—41no—
429C2×C4×D11C22×C414yes—
430C2×C4×D11C22×C414yes—
431C2×C4×D11C22×C414yes—
432C2×Dic22—41no—
433C2×Dic22—41no—
434C2×Dic22C22×C414yes—
435C11×C4⋊C4—41no—
436C11×C4⋊C4—41no—
437C11×C4⋊C4—41no—
438C11×C4⋊C4C22×C414yes—
439C11×C4⋊C4C22×C414yes—
440C11×C22⋊C4—22no—
441C11×C22⋊C4—41no—
442C11×C22⋊C4—41no—
443C11×C22⋊C4—41no—
444C11×C22⋊C4—41no—
445C11×C22⋊C4—41no—
446C11×C22⋊C4—41no—
447C11×C22⋊C4C22×C414yes—
448C11×C22⋊C4C22×C414yes—
449C11×C22⋊C4C22×C414yes—
450C42×C11—22no—
451C42×C11—41no—
452C42×C11—41no—
453C42×C11—41no—
454C42×C11—41no—
455C42×C11—41no—
456C42×C11—41no—
457C22⋊Dic11—22no—
458C22⋊Dic11—22no—
459C22⋊Dic11—41no—
460C22⋊Dic11—41no—
461C22⋊Dic11—41no—
462C22⋊Dic11C22×C414yes—
463C22⋊Dic11C22×C414yes—
464C22⋊Dic11C22×C414yes—
465C22⋊Dic11C22×C414yes—
466C22⋊Dic11C22×C414yes—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—41no—
470(C2×D11)⋊C4—41no—
471(C2×D11)⋊C4—41no—
472(C2×D11)⋊C4—41no—
473(C2×D11)⋊C4—41no—
474(C2×D11)⋊C4—41no—
475(C2×D11)⋊C4C22×C414yes—
476(C2×D11)⋊C4C22×C414yes—
477C4⋊Dic11—22no—
478C4⋊Dic11—41no—
479C4⋊Dic11—41no—
480C4⋊Dic11—41no—
481C4⋊Dic11—41no—
482C4⋊Dic11C22×C414yes—
483C4⋊Dic11C22×C414yes—
484C4⋊Dic11C22×C414yes—
485C4⋊Dic11C22×C414yes—
486Dic11⋊C4—22no—
487Dic11⋊C4—22no—
488Dic11⋊C4—41no—
489Dic11⋊C4—41no—
490Dic11⋊C4—41no—
491Dic11⋊C4—41no—
492Dic11⋊C4—41no—
493Dic11⋊C4—41no—
494Dic11⋊C4—41no—
495Dic11⋊C4—41no—
496Dic11⋊C4—41no—
497Dic11⋊C4—41no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4C22×C414yes—
503Dic11⋊C4C22×C414yes—
504Dic11⋊C4C22×C414yes—
505Dic11⋊C4C22×C414yes—
506Dic11⋊C4C22×C414yes—
507Dic11⋊C4C22×C414yes—
508Dic11⋊C4C22×C414yes—
509Dic11⋊C4C22×C414yes—
510C4×Dic11—22no—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—22no—
514C4×Dic11—41no—
515C4×Dic11—41no—
516C4×Dic11—41no—
517C4×Dic11—41no—
518C4×Dic11—41no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524C4×Dic11—41no—
525C4×Dic11—41no—
526C4×Dic11—41no—
527C4×Dic11C22×C414yes—
528C4×Dic11C22×C414yes—
529C2×#539—111no—
530#2383—111no—
531#2378—111no—
532#2376—111no—
533#2376—111no—
534#2374—111no—
535#2374D1111yescharacteristic, complemented
536#2373—111no—
537#2368—111no—
538#2362—111no—
539#2362—111no—
540#2359—111no—
541#2359—111no—
542#2354—111no—
543#2353—111no—
544#2345—111no—
545#2344—111no—
546#2336—111no—
547#2336—111no—
548#2335—111no—
549#2335—111no—
550#2334—111no—
551#2333—111no—
552#2330—111no—
553#2329—111no—
554#2324—111no—
555#2323—111no—
556#2318—111no—
557C4×#125—111no—
558C4×#126—111no—
559#2293—111no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11C23×C412yes—
573C23×C11C23×C412yes—
574C23×C11C2511yescharacteristic
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11C23×C412yes—
582D4×C11—44no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—44no—
617C2×C4×C11—82no—
618C2×C4×C11C23×C412yes—
619C2×C4×C11C23×C412yes—
620C2×C4×C11C23×C412yes—
621C2×C4×C11C23×C412yes—
622C2×C4×C11C23×C412yes—
623C2×C4×C112−1+412yes—
624C22⋊D11—44no—
625C22⋊D11—44no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—44no—
664C2×Dic11—82no—
665C2×Dic11—82no—
666C2×Dic11—82no—
667C2×Dic11C23×C412yes—
668C2×Dic11C23×C412yes—
669C2×Dic11C23×C412yes—
670C2×Dic11C23×C412yes—
671C2×Dic11C23×C412yes—
672C2×Dic11C23×C412yes—
673C2×Dic11C23×C412yes—
674C2×Dic11H(5,𝔽2)12yes—
675C4×D11—44no—
676C4×D11—44no—
677C4×D11—44no—
678Dic22—44no—
679#539—1116no—
680C2×#126—111no—
681C2×#126—111no—
682C2×#125—111no—
683C2×#125—111no—
684C2×#123—111no—
685C2×#123—111no—
686C2×#123—111no—
687C2×#123C2×D1111yescharacteristic
688C2×C22⋊Q8—111no—
689C2×C22⋊Q8—111no—
690C2×C22⋊Q8—111no—
691C2×#121—111no—
692C2×C4×Q8—111no—
693C2×C4×D4—111no—
694C2×C4×D4—111no—
695C2×C4×D4—111no—
696C2×#117—111no—
697C2×#117—111no—
698C2×#117—111no—
699C2×#117—111no—
700C22×C4⋊C4—111no—
701#391—111no—
702#391—111no—
703#391—111no—
704#390—111no—
705#390—111no—
706#390—111no—
707#390—111no—
708#390C2×D1111yescharacteristic
709#389—111no—
710#389—111no—
711#389—111no—
712#389—111no—
713#389—111no—
714#389—111no—
715#389—111no—
716#389—111no—
717#389—111no—
718#389—111no—
719#389—111no—
720#389—111no—
721#389—111no—
722#389—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#388—111no—
727#388—111no—
728#388—111no—
729#388—111no—
730#388—111no—
731#388—111no—
732#388—111no—
733#388—111no—
734#388—111no—
735#388—111no—
736#388—111no—
737#388—111no—
738#388—111no—
739#388—111no—
740#388—111no—
741#388—111no—
742#388—111no—
743#388C2×D1111yescharacteristic
744#388C2×D1111yescharacteristic
745#388C2×D1111yescharacteristic
746#388C2×D1111yescharacteristic
747#387—111no—
748#387—111no—
749#387—111no—
750#387—111no—
751#387—111no—
752#387—111no—
753#387—111no—
754#387—111no—
755#387—111no—
756#387—111no—
757#387—111no—
758#387—111no—
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387—111no—
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387C2×D1111yescharacteristic
774#387C2×D1111yescharacteristic
775#386—111no—
776#386—111no—
777#386—111no—
778#386—111no—
779#386—111no—
780#386C2×D1111yescharacteristic
781#385—111no—
782#385—111no—
783#385—111no—
784#385—111no—
785#385—111no—
786#385—111no—
787#385—111no—
788#385—111no—
789#384—111no—
790#383—111no—
791#383—111no—
792#382—111no—
793#381—111no—
794#381—111no—
795#380—111no—
796#380—111no—
797#380—111no—
798#380—111no—
799#380—111no—
800#380—111no—
801C4×C4⋊C4—111no—
802C4×C4⋊C4—111no—
803C4×C4⋊C4—111no—
804C4×C4⋊C4—111no—
805C4×C4⋊C4—111no—
806C4×C4⋊C4—111no—
807C4×C4⋊C4—111no—
808C4×C4⋊C4—111no—
809C4×C4⋊C4—111no—
810C4×C4⋊C4—111no—
811C4×C4⋊C4—111no—
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4—111no—
815C4×C4⋊C4C2×D1111yescharacteristic
816C4×C4⋊C4C2×D1111yescharacteristic
817C4×C22⋊C4—111no—
818C4×C22⋊C4—111no—
819C4×C22⋊C4—111no—
820C4×C22⋊C4—111no—
821C4×C22⋊C4—111no—
822C4×C22⋊C4—111no—
823C4×C22⋊C4—111no—
824C4×C22⋊C4—111no—
825C4×C22⋊C4—111no—
826C4×C22⋊C4—111no—
827C4×C22⋊C4C2×D1111yescharacteristic
828C4×C22⋊C4C2×D1111yescharacteristic
829C4×C22⋊C4C2×D1111yescharacteristic
830C4×C22⋊C4C2×D1111yescharacteristic
831#376—111no—
832C2×#95—111no—
833C2×#95—111no—
834C43—111no—
835C22×C11—22no—
836C22×C11—22no—
837C22×C11—22no—
838C22×C11—22no—
839C22×C11—22no—
840C22×C11—22no—
841C22×C11—41no—
842C22×C11—41no—
843C22×C11—41no—
844C22×C11—41no—
845C22×C11—41no—
846C22×C11—41no—
847C22×C11—41no—
848C22×C11—41no—
849C22×C11C24×C411yescharacteristic
850C22×C11C2×H(5,𝔽2)11yescharacteristic
851C22×C11C2×2−1+411yescharacteristic
852C22×C11#58511yescharacteristic
853C22×C11#58511yescharacteristic
854C22×C11#58511yescharacteristic
855C22×C11#58511yescharacteristic
856C2×D11—22no—
857C2×D11—22no—
858C2×D11—22no—
859C2×D11—41no—
860C2×D11—41no—
861C2×D11—41no—
862C2×D11—41no—
863C4×C11—22no—
864C4×C11—22no—
865C4×C11—22no—
866C4×C11—22no—
867C4×C11—22no—
868C4×C11—22no—
869C4×C11—41no—
870C4×C11—41no—
871C4×C11—41no—
872C4×C11—41no—
873C4×C11—41no—
874C4×C11—41no—
875C4×C11—41no—
876Dic11—22no—
877Dic11—22no—
878Dic11—22no—
879Dic11—22no—
880Dic11—22no—
881Dic11—22no—
882Dic11—22no—
883Dic11—22no—
884Dic11—41no—
885Dic11—41no—
886Dic11—41no—
887Dic11—41no—
888Dic11—41no—
889Dic11—41no—
890Dic11—41no—
891C22×Q8—111no—
892C22×D4—111no—
893C22×D4—111no—
894C22×D4C22×D1111yescharacteristic
895C23×C4—111no—
896C23×C4—111no—
897C23×C4—111no—
898C23×C4—111no—
899C23×C4—111no—
900C23×C4—111no—
901C23×C4—111no—
902C23×C4C22×D1111yescharacteristic
903C23×C4C22×D1111yescharacteristic
904#126—118no—
905#126—118no—
906#125—118no—
907#125—118no—
908#123—118no—
909#123—118no—
910#123—118no—
911#123C4×D1118yes—
912C22⋊Q8—118no—
913C22⋊Q8—118no—
914C22⋊Q8—118no—
915#121—118no—
916C4×Q8—442no—
917C4×D4—118no—
918C4×D4—118no—
919C4×D4—442no—
920#117—442no—
921#117—442no—
922#117—442no—
923#117—442no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—118no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
961C2×C4⋊C4C22×D1111yescharacteristic
962C2×C4⋊C4C22×D1111yescharacteristic
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4C22×D1111yescharacteristic
984C2×C22⋊C4C22×D1111yescharacteristic
985C2×C22⋊C4C22×D1111yescharacteristic
986C2×C22⋊C4C22×D1111yescharacteristic
987C2×C22⋊C4C22×D1111yescharacteristic
988C2×C22⋊C4C22×D1111yescharacteristic
989C2×C22⋊C4C22×D1111yescharacteristic
990C2×C22⋊C4C22×D1111yescharacteristic
991C2×C22⋊C4C22×D1111yescharacteristic
992C2×C22⋊C4C22×D1111yescharacteristic
993C2×C42—111no—
994C2×C42—111no—
995C2×C42—111no—
996C2×C42—111no—
997C2×C42—111no—
998C2×C42—111no—
999C2×C42—111no—
1000C2×C42—111no—
1001C2×C42—111no—
1002C2×C42—111no—
1003C2×C42—111no—
1004C2×C42—111no—
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—111no—
1008C2×C42—111no—
1009C2×C42—111no—
1010C2×C42—111no—
1011C2×C42—111no—
1012C2×C42C22×D1111yescharacteristic
1013C2×C42C22×D1111yescharacteristic
1014C2×C42C22×D1111yescharacteristic
1015C2×C42C22×D1111yescharacteristic
1016C2×C42C22×D1111yescharacteristic
1017C2×C42C22×D1111yescharacteristic
1018C2×C42C22×D1111yescharacteristic
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95C22×D1111yescharacteristic
1058#95C22×D1111yescharacteristic
1059#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067C2×C11—42no—
1068C2×C11—42no—
1069C2×C11#342811yescharacteristic
1070C2×C11C4×H(5,𝔽2)11yescharacteristic
1071C2×C11C4×2−1+411yescharacteristic
1072C2×C11#355911yescharacteristic
1073C2×C11#356211yescharacteristic
1074C2×C11#356411yescharacteristic
1075C2×C11#356611yescharacteristic
1076D11—42no—
1077C24—111no—
1078C24C23×D1111yescharacteristic
1079C24C23×D1111yescharacteristic
1080C2×Q8—114no—
1081C2×Q8—441no—
1082C2×Q8—441no—
1083C2×D4—41no—
1084C2×D4—41no—
1085C2×D4—114no—
1086C2×D4—114no—
1087C2×D4—441no—
1088C2×D4—441no—
1089C2×D4—441no—
1090C2×D4—441no—
1091C2×D4C2×C4×D1114yes—
1092C22×C4—22no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—111no—
1098C22×C4—111no—
1099C22×C4—111no—
1100C22×C4—111no—
1101C22×C4—111no—
1102C22×C4—111no—
1103C22×C4—111no—
1104C22×C4—111no—
1105C22×C4—114no—
1106C22×C4—114no—
1107C22×C4—114no—
1108C22×C4—114no—
1109C22×C4—111no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—441no—
1117C22×C4—441no—
1118C22×C4—441no—
1119C22×C4—441no—
1120C22×C4—441no—
1121C22×C4—441no—
1122C22×C4—441no—
1123C22×C4—441no—
1124C22×C4—441no—
1125C22×C4—441no—
1126C22×C4—441no—
1127C22×C4—441no—
1128C22×C4—441no—
1129C22×C4—441no—
1130C22×C4—441no—
1131C22×C4—441no—
1132C22×C4—441no—
1133C22×C4C2×C4×D1114yes—
1134C22×C4C23×D1111yescharacteristic
1135C22×C4C23×D1111yescharacteristic
1136C22×C4C23×D1111yescharacteristic
1137C22×C4C23×D1111yescharacteristic
1138C22×C4C23×D1111yescharacteristic
1139C22×C4C23×D1111yescharacteristic
1140C22×C4C23×D1111yescharacteristic
1141C22×C4C23×D1111yescharacteristic
1142C22×C4C23×D1111yescharacteristic
1143C22×C4C23×D1111yescharacteristic
1144C22×C4C23×D1111yescharacteristic
1145C22×C4C23×D1111yescharacteristic
1146C22×C4C23×D1111yescharacteristic
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—114no—
1151C4⋊C4—114no—
1152C4⋊C4—114no—
1153C4⋊C4—114no—
1154C4⋊C4—114no—
1155C4⋊C4—114no—
1156C4⋊C4—114no—
1157C4⋊C4—114no—
1158C4⋊C4—114no—
1159C4⋊C4—114no—
1160C4⋊C4—114no—
1161C4⋊C4—114no—
1162C4⋊C4—222no—
1163C4⋊C4—222no—
1164C4⋊C4—222no—
1165C4⋊C4—441no—
1166C4⋊C4—441no—
1167C4⋊C4—441no—
1168C4⋊C4—441no—
1169C4⋊C4—441no—
1170C4⋊C4—441no—
1171C4⋊C4—441no—
1172C4⋊C4—441no—
1173C4⋊C4—441no—
1174C4⋊C4—441no—
1175C4⋊C4—441no—
1176C4⋊C4—441no—
1177C4⋊C4—441no—
1178C4⋊C4—441no—
1179C4⋊C4—441no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4—441no—
1183C4⋊C4C2×C4×D1114yes—
1184C4⋊C4C2×C4×D1114yes—
1185C22⋊C4—22no—
1186C22⋊C4—41no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—114no—
1193C22⋊C4—114no—
1194C22⋊C4—114no—
1195C22⋊C4—114no—
1196C22⋊C4—114no—
1197C22⋊C4—114no—
1198C22⋊C4—114no—
1199C22⋊C4—222no—
1200C22⋊C4—222no—
1201C22⋊C4—222no—
1202C22⋊C4—222no—
1203C22⋊C4—441no—
1204C22⋊C4—441no—
1205C22⋊C4—441no—
1206C22⋊C4—441no—
1207C22⋊C4—441no—
1208C22⋊C4—441no—
1209C22⋊C4—441no—
1210C22⋊C4—441no—
1211C22⋊C4—441no—
1212C22⋊C4C2×C4×D1114yes—
1213C22⋊C4C2×C4×D1114yes—
1214C22⋊C4C2×C4×D1114yes—
1215C42—22no—
1216C42—41no—
1217C42—41no—
1218C42—41no—
1219C42—41no—
1220C42—41no—
1221C42—41no—
1222C42—114no—
1223C42—114no—
1224C42—222no—
1225C42—222no—
1226C42—222no—
1227C42—222no—
1228C42—441no—
1229C42—441no—
1230C42—441no—
1231C42—441no—
1232C42—441no—
1233C42—441no—
1234C42—441no—
1235C42—441no—
1236C42—441no—
1237C42—441no—
1238C42—441no—
1239C42—441no—
1240C42—441no—
1241C11#3445211yescharacteristic, complemented, Sylow
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—112no—
1255C23—221no—
1256C23—221no—
1257C23—221no—
1258C23—221no—
1259C23—221no—
1260C23—221no—
1261C23C22×C4×D1112yes—
1262C23C22×C4×D1112yes—
1263C23C24×D1111yescharacteristic
1264Q8—444no—
1265D4—44no—
1266D4—444no—
1267D4—444no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—44no—
1302C2×C4—82no—
1303C2×C4—112no—
1304C2×C4—112no—
1305C2×C4—112no—
1306C2×C4—112no—
1307C2×C4—112no—
1308C2×C4—112no—
1309C2×C4—112no—
1310C2×C4—112no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—444no—
1349C2×C4—444no—
1350C2×C4—444no—
1351C2×C4—444no—
1352C2×C4—882no—
1353C2×C4—882no—
1354C2×C4—882no—
1355C2×C4C22×C4×D1112yes—
1356C2×C4C22×C4×D1112yes—
1357C2×C4C22×C4×D1112yes—
1358C2×C4C22×C4×D1112yes—
1359C2×C4C22×C4×D1112yes—
1360C2×C4#6704312yes—
1361C22—22no—
1362C22—22no—
1363C22—22no—
1364C22—22no—
1365C22—22no—
1366C22—22no—
1367C22—41no—
1368C22—41no—
1369C22—41no—
1370C22—41no—
1371C22—41no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—222no—
1376C22—222no—
1377C22—222no—
1378C22—441no—
1379C22—441no—
1380C22—441no—
1381C22—441no—
1382C22C23×C4×D1111yescharacteristic
1383C22C2×#6704311yescharacteristic
1384C22#1062345311yescharacteristic
1385C22#1062345311yescharacteristic
1386C22#1062345311yescharacteristic
1387C22D11×H(5,𝔽2)11yescharacteristic
1388C22#1062345511yescharacteristic
1389C4—22no—
1390C4—22no—
1391C4—22no—
1392C4—22no—
1393C4—22no—
1394C4—22no—
1395C4—41no—
1396C4—41no—
1397C4—41no—
1398C4—41no—
1399C4—41no—
1400C4—41no—
1401C4—41no—
1402C4—222no—
1403C4—222no—
1404C4—222no—
1405C4—222no—
1406C4—222no—
1407C4—222no—
1408C4—222no—
1409C4—222no—
1410C4—441no—
1411C4—441no—
1412C4—441no—
1413C4—441no—
1414C4—441no—
1415C4—441no—
1416C4—441no—
1417C2—42no—
1418C2—42no—
1419C2—442no—
1420C2#1308181511yescharacteristic
1421C2#1308182011yescharacteristic
1422C2C4×#6704311yescharacteristic
1423C2#1308314011yescharacteristic
1424C2#1308318911yescharacteristic
1425C2#1308323211yescharacteristic
1426C2#1308328511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2374C2
socle, cosocleC23×C11C25
prime radicalC2×#66991C22
hypercenter#2374D11
hypocenterC11#34452
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2374

Complements

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

NH ≅ G/Ntype
2. #13071803C2semidirect
3. #13071781C2semidirect
4. #13071766C2semidirect
5. #13071758C2semidirect
6. #13071750C2semidirect
7. #13071733C2semidirect
8. #13071699C2semidirect
9. #13071644C2semidirect
10. #13071641C2semidirect
11. #13071614C2semidirect
12. #13071612C2semidirect
13. #13071562C2semidirect
14. #13071550C2semidirect
15. #13071490C2semidirect
16. #13071481C2semidirect
17. #13071416C2semidirect
18. #13071415C2semidirect
19. #13071413C2semidirect
20. #13071404C2semidirect
21. #13071389C2semidirect
23. #13071353C2semidirect
24. #13071344C2semidirect
26. #13071295C2semidirect
27. #13071243C2semidirect
28. #13071173C2semidirect
29. C4×#66932C2semidirect
30. #13071079C2semidirect
31. C11×#2374C2semidirect
39. #10623191C4semidirect
237. C4×C22⋊D11C2×C4semidirect
258. #66977C2×C4semidirect
302. #66949C2×C4semidirect
303. C4⋊C4×D11C2×C4semidirect
304. #66943C2×C4semidirect
305. #66942C2×C4semidirect
306. #66936C2×C4semidirect
307. #66936C2×C4semidirect
308. (C22⋊D11)⋊C4C2×C4semidirect
309. #66932C2×C4semidirect
310. #66932C2×C4semidirect
311. #66931C2×C4semidirect
535. #2374D11semidirect
1241. C11#34452semidirect

Maximal subgroups

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

subgroupindex
C2×#106231912
#130718032
#130717812
#130717662
#130717582
#130717502
#130717332
#130716992
#130716442
#130716412
#130716142
#130716122
#130715622
#130715502
#130714902
#130714812
#130714162
#130714152
#130714132
#130714042
#130713892
#130713772
#130713532
#130713442
#130713122
#130712952
#130712432
#130711732
C4×#669322
#130710792
C11×#23742
#3445211