Finite Group Databasebeta

← #14914830

Subgroups — #14914830

Order 2816.

2462 conjugacy classes of subgroups.

The subgroup lattice has 1474 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623077C211yesmaximal, characteristic
2#13071582C211yesmaximal, characteristic, complemented
3#13071574C211yesmaximal, characteristic, complemented
4#13071559C211yesmaximal, characteristic, complemented
5#13071554C211yesmaximal, characteristic, complemented
6#13071546C211yesmaximal, characteristic, complemented
7#13071543C211yesmaximal, characteristic, complemented
8#13071522C211yesmaximal, characteristic, complemented
9#13071514C211yesmaximal, characteristic, complemented
10#13071494C211yesmaximal, characteristic, complemented
11#13071486C211yesmaximal, characteristic, complemented
12#13071479C211yesmaximal, characteristic, complemented
13#13071477C211yesmaximal, characteristic, complemented
14#13071474C211yesmaximal, characteristic, complemented
15#13071474C211yesmaximal, characteristic, complemented
16#13071442C211yesmaximal, characteristic
17#13071442C211yesmaximal, characteristic
18#13071265C211yesmaximal, characteristic, complemented
19#13071249C211yesmaximal, characteristic, complemented
20#13071246C211yesmaximal, characteristic, complemented
21#13071220C211yesmaximal, characteristic, complemented
22#13071216C211yesmaximal, characteristic, complemented
23#13071215C211yesmaximal, characteristic, complemented
24#13071110C211yesmaximal, characteristic, complemented
25#13071089C211yesmaximal, characteristic, complemented
26#13071058C211yesmaximal, characteristic, complemented
27C2×#10622546C211yesmaximal, characteristic, complemented
28D11×#387C211yesmaximal, characteristic, complemented
29#13070975C211yesmaximal, characteristic, complemented
30C42×C22⋊D11C211yesmaximal, characteristic, complemented
31C11×#2290C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C11×#117C2211yescharacteristic
35C22×C42×C11C2211yescharacteristic
36C2×D4×Dic11C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C22×Dic11⋊C4C2211yescharacteristic
42C22×Dic11⋊C4C2211yescharacteristic
43C22×Dic11⋊C4C2211yescharacteristic
44#10623077C4116yescomplemented
45C2×C4⋊C4×D11C2211yescharacteristic
46C2×C4⋊C4×D11C2211yescharacteristic
47C2×#66940C2211yescharacteristic
48C2×(C22⋊D11)⋊C4C2211yescharacteristic
49C2×(C22⋊D11)⋊C4C2211yescharacteristic
50C2×(C22⋊D11)⋊C4C2211yescharacteristic
51C2×(C22⋊D11)⋊C4C2211yescharacteristic
52C2×#66930C2211yescharacteristic
53C2×#66930C2211yescharacteristic
54C2×#66930C2211yescharacteristic
55C2×#66925C2211yescharacteristic
56C2×C42×D11C2211yescharacteristic
57C2×C4×Dic22C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#388C2211yescharacteristic
60C11×#387C2211yescharacteristic
61C11×#387C2211yescharacteristic
62C11×#386C2211yescharacteristic
63C11×#386C2211yescharacteristic
64C11×#385C2211yescharacteristic
65C11×#385C2211yescharacteristic
66C4×C11×C4⋊C4C2211yescharacteristic
67C4×C11×C22⋊C4C2211yescharacteristic
68C4×C11×C22⋊C4C2211yescharacteristic
69C11×#376C2211yescharacteristic
70#10622833C2211yescharacteristic
71#10622833C2211yescharacteristic
72#10622825C2211yescharacteristic
73#10622824C2211yescharacteristic
74C4×C22⋊Dic11C2211yescharacteristic
75C4×C22⋊Dic11C2211yescharacteristic
76C4×C22⋊Dic11C2211yescharacteristic
77C2×C11⋊#95C2211yescharacteristic
78C2×C11⋊#95C2211yescharacteristic
79C2×C11⋊#95C2211yescharacteristic
80C2×C11⋊#95C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622600C2211yescharacteristic
84#10622594C2211yescharacteristic
85#10622594C2211yescharacteristic
86#10622591C2211yescharacteristic
87#10622591C2211yescharacteristic
88#10622591C2211yescharacteristic
89#10622591C2211yescharacteristic
90#10622590C2211yescharacteristic
91#10622590C2211yescharacteristic
92#10622589C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95C4⋊C4×Dic11C2211yescharacteristic
96#10622585C2211yescharacteristic
97#10622585C2211yescharacteristic
98#10622569C2211yescharacteristic
99#10622569C2211yescharacteristic
100#10622569C2211yescharacteristic
101#10622569C2211yescharacteristic
102#10622564C2211yescharacteristic
103#10622564C2211yescharacteristic
104#10622563C2211yescharacteristic
105#10622563C2211yescharacteristic
106#10622558C2211yescharacteristic
107#10622558C2211yescharacteristic
108#10622557C2211yescharacteristic
109#10622557C2211yescharacteristic
110#10622556C2211yescharacteristic
111#10622556C2211yescharacteristic
112#10622556C2211yescharacteristic
113#10622555C2211yescharacteristic
114#10622555C2211yescharacteristic
115#10622555C2211yescharacteristic
116#10622555C2211yescharacteristic
117#10622555C2211yescharacteristic
118C22⋊C4×Dic11C2211yescharacteristic
119C22⋊C4×Dic11C2211yescharacteristic
120C22⋊C4×Dic11C2211yescharacteristic
121C22⋊C4×Dic11C2211yescharacteristic
122C22⋊C4×Dic11C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125C4×(C2×D11)⋊C4C2211yescharacteristic
126C4×(C2×D11)⋊C4C2211yescharacteristic
127C4×(C2×D11)⋊C4C2211yescharacteristic
128#10622550C2211yescharacteristic
129#10622549C2211yescharacteristic
130#10622546C2211yescharacteristic
131#10622546C2211yescharacteristic
132#10622546C2211yescharacteristic
133#10622546C2211yescharacteristic
134#10622546C2211yescharacteristic
135#10622546C2211yescharacteristic
136#10622546C2211yescharacteristic
137#10622546C2211yescharacteristic
138#10622546C2211yescharacteristic
139#10622546C2211yescharacteristic
140#10622546C2211yescharacteristic
141#10622546C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C4×Dic11⋊C4C2211yescharacteristic
144C4×Dic11⋊C4C2211yescharacteristic
145C4×Dic11⋊C4C2211yescharacteristic
146C4×Dic11⋊C4C2211yescharacteristic
147C42×Dic11C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622280C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622277C2211yescharacteristic
153#10622277C2211yescharacteristic
154D11×#95C2211yescharacteristic
155D11×#95C2211yescharacteristic
156D11×#95C2211yescharacteristic
157D11×#95C2211yescharacteristic
158#10622268C2211yescharacteristic
159#10622268C2211yescharacteristic
160#10622268C2211yescharacteristic
161#10622268C2211yescharacteristic
162#10622267C2211yescharacteristic
163#10622267C2211yescharacteristic
164#10622266C2211yescharacteristic
165#10622266C2211yescharacteristic
166#10622265C2211yescharacteristic
167#10622265C2211yescharacteristic
168#10622265C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622264C2211yescharacteristic
171#10622264C2211yescharacteristic
172#10622264C2211yescharacteristic
173#10622263C2211yescharacteristic
174#10622263C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622261C2211yescharacteristic
179#10622261C2211yescharacteristic
180#10622261C2211yescharacteristic
181#10622261C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C2×#4341—24no—
202C2×#4341—24no—
203C2×#4341C2×C418yes—
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C4×D4×C11C2×C418yescomplemented
213C11×#117—42no—
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊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×C42×C11—42no—
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243D4×Dic11C2×C418yescomplemented
244C4×C22⋊D11—24no—
245C4×C22⋊D11—24no—
246C4×C22⋊D11C2×C418yes—
247C4×C22⋊D11C2×C418yescomplemented
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×Dic11⋊C4—42no—
260C2×Dic11⋊C4C2×C418yescomplemented
261C2×Dic11⋊C4C2×C418yescomplemented
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×C4×Dic11C2311yescharacteristic
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
301C4⋊C4×D11—42no—
302C4⋊C4×D11C2×C418yescomplemented
303#66940C2×C418yescomplemented
304(C22⋊D11)⋊C4—24no—
305(C22⋊D11)⋊C4—24no—
306(C22⋊D11)⋊C4C2×C418yes—
307(C22⋊D11)⋊C4C2×C418yescomplemented
308#66930—42no—
309#66930C2×C418yescomplemented
310#66930C2×C418yescomplemented
311#66925C2×C418yescomplemented
312C42×D11—42no—
313C4×Dic22C2×C418yescomplemented
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
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
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370#34260—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C2×D4×C11—22no—
375C2×D4×C11—22no—
376C2×D4×C11C22×C414yes—
377C22×C4×C11—22no—
378C22×C4×C11—22no—
379C22×C4×C11—22no—
380C22×C4×C11—22no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11C22×C414yes—
388C22×C4×C11C22×C414yes—
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C2×C22⋊D11—22no—
403C2×C22⋊D11—22no—
404C2×C22⋊D11C22×C414yes—
405C2×C22⋊D11C22×C414yes—
406C2×C22⋊D11#4114yes—
407C2×C22⋊D11#4114yes—
408C22×Dic11—22no—
409C22×Dic11—22no—
410C22×Dic11—22no—
411C22×Dic11—22no—
412C22×Dic11—22no—
413C22×Dic11—22no—
414C22×Dic11—41no—
415C22×Dic11—41no—
416C22×Dic11—41no—
417C22×Dic11—41no—
418C22×Dic11—41no—
419C22×Dic11—41no—
420C22×Dic11—41no—
421C22×Dic11—41no—
422C22×Dic11C22×C414yes—
423C22×Dic11C22×C414yes—
424C22×Dic11C22×C414yes—
425C22×Dic11C22×C414yes—
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441#4341—232no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11C22×C414yes—
461C2×C4×D11C22×C414yes—
462C2×C4×D11C22×C414yes—
463C2×Dic22—22no—
464C2×Dic22—22no—
465C2×Dic22C22×C414yes—
466C11×C4⋊C4—22no—
467C11×C4⋊C4—22no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4—41no—
470C11×C4⋊C4C22×C414yes—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—22no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—22no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4C22×C414yes—
478C11×C22⋊C4C22×C414yes—
479C42×C11—22no—
480C42×C11—22no—
481C42×C11—41no—
482C42×C11—41no—
483C42×C11—41no—
484C42×C11—41no—
485C42×C11C22×C414yes—
486C22⋊Dic11—22no—
487C22⋊Dic11—22no—
488C22⋊Dic11—41no—
489C22⋊Dic11—41no—
490C22⋊Dic11—41no—
491C22⋊Dic11—41no—
492C22⋊Dic11C22×C414yes—
493C22⋊Dic11C22×C414yes—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—22no—
498(C2×D11)⋊C4C22×C414yes—
499(C2×D11)⋊C4C22×C414yes—
500C4⋊Dic11—41no—
501C4⋊Dic11—41no—
502C4⋊Dic11—41no—
503C4⋊Dic11—41no—
504C4⋊Dic11C22×C414yes—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
509Dic11⋊C4—22no—
510Dic11⋊C4—22no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4C22×C414yes—
518Dic11⋊C4C22×C414yes—
519Dic11⋊C4C22×C414yes—
520Dic11⋊C4C22×C414yes—
521Dic11⋊C4C22×C414yes—
522Dic11⋊C4C22×C414yes—
523Dic11⋊C4C22×C414yes—
524Dic11⋊C4C22×C414yes—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—22no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539C4×Dic11C22×C414yes—
540C4×Dic11C22×C414yes—
541C4×Dic11C22×C414yes—
542C4×Dic11C22×C414yes—
543C4×Dic11C22×C414yes—
544C2×#520—111no—
545#2356—111no—
546#2355—111no—
547#2353—111no—
548#2353—111no—
549#2352—111no—
550#2352—111no—
551#2349—111no—
552D4×C4⋊C4—111no—
553#2345—111no—
554#2344—111no—
555#2343—111no—
556#2343—111no—
557#2343—111no—
558#2343—111no—
559#2339—111no—
560#2339—111no—
561#2320—111no—
562#2318—111no—
563#2318—111no—
564#2314—111no—
565#2313—111no—
566#2313—111no—
567#2298—111no—
568#2295—111no—
569#2290—111no—
570#2290D1111yescharacteristic, complemented
571C2×#387—111no—
572C2×#387—111no—
573#2275—111no—
574C42×D4—111no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11C23×C412yes—
586C23×C11C23×C412yes—
587C23×C11C2×#4112yes—
588C23×C11C2×#4112yes—
589C23×C11C2511yescharacteristic
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11C23×C412yes—
595C22×D11C2×#4112yes—
596C22×D11C2×#4112yes—
597D4×C11—28no—
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—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
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—44no—
631C2×C4×C11—44no—
632C2×C4×C11—44no—
633C2×C4×C11—44no—
634C2×C4×C11C23×C412yes—
635C2×C4×C11C23×C412yes—
636C2×C4×C11C23×C412yes—
637C2×C4×C11C23×C412yes—
638C2×C4×C11C23×C412yes—
639C2×C4×C11H(5,𝔽2)12yes—
640C2×C4×C112−1+412yes—
641C22⋊D11—28no—
642C22⋊D11#117116yescomplemented
643C2×Dic11—28no—
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—28no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
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—44no—
682C2×Dic11—44no—
683C2×Dic11—82no—
684C2×Dic11—82no—
685C2×Dic11C23×C412yes—
686C2×Dic11C23×C412yes—
687C2×Dic11C23×C412yes—
688C2×Dic11C23×C412yes—
689C2×Dic11C23×C412yes—
690C2×Dic11C23×C412yes—
691C2×Dic11C23×C412yes—
692C2×Dic11C2×#4112yes—
693C2×Dic11C2×#4112yes—
694C4×D11—28no—
695C4×D11—44no—
696C4×D11—44no—
697C4×D11—44no—
698C4×D11—44no—
699C4×D11—82no—
700C4×D11—82no—
701Dic22—28no—
702C22×#41—111no—
703#520—1116no—
704C2×C4×Q8—111no—
705C2×C4×Q8—111no—
706C2×C4×D4—111no—
707C2×C4×D4—111no—
708C2×C4×D4—111no—
709C2×C4×D4—111no—
710C2×C4×D4—111no—
711C2×C4×D4—111no—
712C2×C4×D4—111no—
713C2×C4×D4—111no—
714C2×C4×D4—111no—
715C2×C4×D4C2×D1111yescharacteristic
716C2×#117—111no—
717C2×#117—111no—
718C2×#117—111no—
719C2×#117—111no—
720C2×#117C2×D1111yescharacteristic
721C22×C4⋊C4—111no—
722C22×C4⋊C4—111no—
723C22×C4⋊C4—111no—
724C22×C4⋊C4—111no—
725C22×C4⋊C4—111no—
726C22×C42—111no—
727C22×C42C2×D1111yescharacteristic
728#391—111no—
729#391—111no—
730#391—111no—
731#391—111no—
732#389—111no—
733#389—111no—
734#389—111no—
735#389—111no—
736#388—111no—
737#388—111no—
738#388—111no—
739#388—111no—
740#388—111no—
741#388—111no—
742#388C2×D1111yescharacteristic
743#388C2×D1111yescharacteristic
744#387—111no—
745#387—111no—
746#387—111no—
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#387—111no—
774#387C2×D1111yescharacteristic
775#387C2×D1111yescharacteristic
776#386—111no—
777#386—111no—
778#386—111no—
779#386—111no—
780#386—111no—
781#386—111no—
782#386C2×D1111yescharacteristic
783#386C2×D1111yescharacteristic
784#385—111no—
785#385—111no—
786#385—111no—
787#385—111no—
788#385—111no—
789#385—111no—
790#385C2×D1111yescharacteristic
791#385C2×D1111yescharacteristic
792#384—111no—
793#383—111no—
794#383—111no—
795#383—111no—
796#383—111no—
797#382—111no—
798#382—111no—
799#382—111no—
800#382—111no—
801#382—111no—
802#381—111no—
803#381—111no—
804#381—111no—
805#381—111no—
806#381—111no—
807#381—111no—
808#380—111no—
809#380—111no—
810#380—111no—
811#380—111no—
812#380—111no—
813#380—111no—
814#380—111no—
815#380—111no—
816C4×C4⋊C4—111no—
817C4×C4⋊C4—111no—
818C4×C4⋊C4—111no—
819C4×C4⋊C4—111no—
820C4×C4⋊C4—111no—
821C4×C4⋊C4—111no—
822C4×C4⋊C4—111no—
823C4×C4⋊C4—111no—
824C4×C4⋊C4—111no—
825C4×C4⋊C4—111no—
826C4×C4⋊C4—111no—
827C4×C4⋊C4C2×D1111yescharacteristic
828C4×C22⋊C4—111no—
829C4×C22⋊C4—111no—
830C4×C22⋊C4—111no—
831C4×C22⋊C4—111no—
832C4×C22⋊C4—111no—
833C4×C22⋊C4—111no—
834C4×C22⋊C4—111no—
835C4×C22⋊C4—111no—
836C4×C22⋊C4—111no—
837C4×C22⋊C4—111no—
838C4×C22⋊C4—111no—
839C4×C22⋊C4—111no—
840C4×C22⋊C4—111no—
841C4×C22⋊C4—111no—
842C4×C22⋊C4C2×D1111yescharacteristic
843C4×C22⋊C4C2×D1111yescharacteristic
844#376—111no—
845#376—111no—
846#376—111no—
847#376—111no—
848#376C2×D1111yescharacteristic
849C2×#95—111no—
850C2×#95—111no—
851C2×#95—111no—
852C2×#95—111no—
853C2×#95—111no—
854C2×#95—111no—
855C2×#95—111no—
856C2×#95—111no—
857C43—111no—
858C22×C11—22no—
859C22×C11—22no—
860C22×C11—22no—
861C22×C11—22no—
862C22×C11—22no—
863C22×C11—22no—
864C22×C11—22no—
865C22×C11—22no—
866C22×C11—22no—
867C22×C11—41no—
868C22×C11—41no—
869C22×C11—41no—
870C22×C11—41no—
871C22×C11C2×#11714yes—
872C22×C11C24×C411yescharacteristic
873C22×C11C22×#4111yescharacteristic
874C22×C11C22×#4111yescharacteristic
875C22×C11C2×H(5,𝔽2)11yescharacteristic
876C22×C11C2×2−1+411yescharacteristic
877C22×C11#58511yescharacteristic
878C22×C11#58511yescharacteristic
879C2×D11—22no—
880C2×D11—22no—
881C2×D11—22no—
882C2×D11—22no—
883C2×D11—22no—
884C2×D11—22no—
885C2×D11C2×#11714yes—
886C4×C11—22no—
887C4×C11—22no—
888C4×C11—22no—
889C4×C11—22no—
890C4×C11—22no—
891C4×C11—22no—
892C4×C11—22no—
893C4×C11—41no—
894C4×C11—41no—
895C4×C11—41no—
896C4×C11—41no—
897C4×C11—41no—
898C4×C11—41no—
899Dic11—22no—
900Dic11—22no—
901Dic11—22no—
902Dic11—22no—
903Dic11—22no—
904Dic11—22no—
905Dic11—41no—
906Dic11—41no—
907Dic11—41no—
908Dic11—41no—
909Dic11—41no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11C2×#11714yes—
914C2×#41—118no—
915C2×#41—224no—
916C2×#41—224no—
917C22×Q8—111no—
918C22×D4—111no—
919C22×D4—111no—
920C22×D4C22×D1111yescharacteristic
921C23×C4—111no—
922C23×C4—111no—
923C23×C4—111no—
924C23×C4—111no—
925C23×C4—111no—
926C23×C4—111no—
927C23×C4—111no—
928C23×C4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4C22×D1111yescharacteristic
935C23×C4C22×D1111yescharacteristic
936C23×C4C22×D1111yescharacteristic
937C23×C4C22×D1111yescharacteristic
938C4×Q8—118no—
939C4×Q8—118no—
940C4×D4—118no—
941C4×D4—118no—
942C4×D4—118no—
943C4×D4—118no—
944C4×D4—118no—
945C4×D4—224no—
946C4×D4—224no—
947C4×D4—224no—
948C4×D4—224no—
949C4×D4C4×D1118yescomplemented
950#117—42no—
951#117—118no—
952#117—118no—
953#117—118no—
954#117—442no—
955C2×C4⋊C4—118no—
956C2×C4⋊C4—118no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—118no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
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—442no—
984C2×C4⋊C4—442no—
985C2×C4⋊C4C22×D1111yescharacteristic
986C2×C4⋊C4C22×D1111yescharacteristic
987C2×C4⋊C4C22×D1111yescharacteristic
988C2×C4⋊C4C22×D1111yescharacteristic
989C2×C4⋊C4C22×D1111yescharacteristic
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4C22×D1111yescharacteristic
1005C2×C22⋊C4C22×D1111yescharacteristic
1006C2×C22⋊C4C22×D1111yescharacteristic
1007C2×C22⋊C4C22×D1111yescharacteristic
1008C2×C22⋊C4C22×D1111yescharacteristic
1009C2×C22⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4C22×D1111yescharacteristic
1011C2×C22⋊C4C22×D1111yescharacteristic
1012C2×C42—42no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42—111no—
1019C2×C42—111no—
1020C2×C42—111no—
1021C2×C42—111no—
1022C2×C42—111no—
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42—111no—
1032C2×C42—442no—
1033C2×C42C22×D1111yescharacteristic
1034C2×C42C22×D1111yescharacteristic
1035C2×C42C22×D1111yescharacteristic
1036C2×C42C22×D1111yescharacteristic
1037C2×C42C22×D1111yescharacteristic
1038C2×C42C22×D1111yescharacteristic
1039C2×C42C22×D1111yescharacteristic
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#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
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#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095#95C22×D1111yescharacteristic
1096C2×C11—24no—
1097C2×C11—42no—
1098C2×C11C22×#11711yescharacteristic
1099C2×C11C4×H(5,𝔽2)11yescharacteristic
1100C2×C11C4×2−1+411yescharacteristic
1101C2×C11#351311yescharacteristic
1102C2×C11#351511yescharacteristic
1103C2×C11#352011yescharacteristic
1104C2×C11#352111yescharacteristic
1105D11—24no—
1106C24—111no—
1107C24C23×D1111yescharacteristic
1108C24C23×D1111yescharacteristic
1109#41—2232no—
1110C2×Q8—114no—
1111C2×Q8—222no—
1112C2×Q8—222no—
1113C2×D4—22no—
1114C2×D4—22no—
1115C2×D4—114no—
1116C2×D4—114no—
1117C2×D4—114no—
1118C2×D4—114no—
1119C2×D4—222no—
1120C2×D4—222no—
1121C2×D4C2×C4×D1114yes—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—111no—
1133C22×C4—114no—
1134C22×C4—114no—
1135C22×C4—111no—
1136C22×C4—111no—
1137C22×C4—111no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—114no—
1142C22×C4—114no—
1143C22×C4—114no—
1144C22×C4—114no—
1145C22×C4—114no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—222no—
1155C22×C4—222no—
1156C22×C4—222no—
1157C22×C4—222no—
1158C22×C4—222no—
1159C22×C4—222no—
1160C22×C4—222no—
1161C22×C4—222no—
1162C22×C4—222no—
1163C22×C4—222no—
1164C22×C4—222no—
1165C22×C4—222no—
1166C22×C4—222no—
1167C22×C4—222no—
1168C22×C4—441no—
1169C22×C4—441no—
1170C22×C4—441no—
1171C22×C4—441no—
1172C22×C4—441no—
1173C22×C4—441no—
1174C22×C4—441no—
1175C22×C4—441no—
1176C22×C4—441no—
1177C22×C4—441no—
1178C22×C4—441no—
1179C22×C4—441no—
1180C22×C4—441no—
1181C22×C4—441no—
1182C22×C4—441no—
1183C22×C4—441no—
1184C22×C4—441no—
1185C22×C4—441no—
1186C22×C4C2×C4×D1114yes—
1187C22×C4C2×C4×D1114yes—
1188C22×C4C23×D1111yescharacteristic
1189C22×C4C23×D1111yescharacteristic
1190C22×C4C23×D1111yescharacteristic
1191C22×C4C23×D1111yescharacteristic
1192C22×C4C23×D1111yescharacteristic
1193C22×C4C23×D1111yescharacteristic
1194C22×C4C23×D1111yescharacteristic
1195C22×C4C23×D1111yescharacteristic
1196C22×C4C23×D1111yescharacteristic
1197C22×C4C23×D1111yescharacteristic
1198C22×C4C23×D1111yescharacteristic
1199C22×C4C23×D1111yescharacteristic
1200C22×C4C23×D1111yescharacteristic
1201C4⋊C4—22no—
1202C4⋊C4—22no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—114no—
1206C4⋊C4—114no—
1207C4⋊C4—114no—
1208C4⋊C4—114no—
1209C4⋊C4—114no—
1210C4⋊C4—114no—
1211C4⋊C4—114no—
1212C4⋊C4—114no—
1213C4⋊C4—114no—
1214C4⋊C4—222no—
1215C4⋊C4—222no—
1216C4⋊C4—222no—
1217C4⋊C4—222no—
1218C4⋊C4—222no—
1219C4⋊C4—222no—
1220C4⋊C4—441no—
1221C4⋊C4—441no—
1222C4⋊C4—441no—
1223C4⋊C4—441no—
1224C4⋊C4—441no—
1225C4⋊C4—441no—
1226C4⋊C4—441no—
1227C4⋊C4—441no—
1228C4⋊C4—441no—
1229C4⋊C4—441no—
1230C4⋊C4C2×C4×D1114yes—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—114no—
1238C22⋊C4—114no—
1239C22⋊C4—114no—
1240C22⋊C4—114no—
1241C22⋊C4—222no—
1242C22⋊C4—222no—
1243C22⋊C4—222no—
1244C22⋊C4—222no—
1245C22⋊C4—222no—
1246C22⋊C4—222no—
1247C22⋊C4—441no—
1248C22⋊C4—441no—
1249C22⋊C4—441no—
1250C22⋊C4—441no—
1251C22⋊C4C2×C4×D1114yes—
1252C22⋊C4C2×C4×D1114yes—
1253C42—22no—
1254C42—22no—
1255C42—41no—
1256C42—41no—
1257C42—41no—
1258C42—41no—
1259C42—114no—
1260C42—114no—
1261C42—114no—
1262C42—114no—
1263C42—114no—
1264C42—222no—
1265C42—222no—
1266C42—222no—
1267C42—222no—
1268C42—222no—
1269C42—222no—
1270C42—441no—
1271C42—441no—
1272C42—441no—
1273C42—441no—
1274C42—441no—
1275C42—441no—
1276C42—441no—
1277C42—441no—
1278C42C2×C4×D1114yes—
1279C11#3426011yescharacteristic, complemented, Sylow
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—112no—
1291C23—112no—
1292C23—112no—
1293C23—221no—
1294C23—221no—
1295C23—221no—
1296C23—221no—
1297C23C22×C4×D1112yes—
1298C23C22×C4×D1112yes—
1299C23#41×D1112yes—
1300C23#41×D1112yes—
1301C23C24×D1111yescharacteristic
1302Q8—228no—
1303D4—28no—
1304D4—1116no—
1305D4—228no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—44no—
1339C2×C4—44no—
1340C2×C4—44no—
1341C2×C4—44no—
1342C2×C4—112no—
1343C2×C4—112no—
1344C2×C4—112no—
1345C2×C4—112no—
1346C2×C4—112no—
1347C2×C4—112no—
1348C2×C4—112no—
1349C2×C4—112no—
1350C2×C4—112no—
1351C2×C4—228no—
1352C2×C4—228no—
1353C2×C4—228no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—444no—
1391C2×C4—444no—
1392C2×C4—444no—
1393C2×C4—444no—
1394C2×C4—444no—
1395C2×C4—444no—
1396C2×C4—882no—
1397C2×C4—882no—
1398C2×C4—882no—
1399C2×C4—882no—
1400C2×C4C22×C4×D1112yes—
1401C2×C4C22×C4×D1112yes—
1402C2×C4C22×C4×D1112yes—
1403C2×C4C22×C4×D1112yes—
1404C2×C4C22×C4×D1112yes—
1405C2×C4#6703712yes—
1406C2×C4#6704312yes—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—22no—
1411C22—22no—
1412C22—22no—
1413C22—22no—
1414C22—22no—
1415C22—22no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—114no—
1421C22—222no—
1422C22—222no—
1423C22—222no—
1424C22—222no—
1425C22—222no—
1426C22—222no—
1427C22D11×#11714yes—
1428C22C23×C4×D1111yescharacteristic
1429C22C2×#6703711yescharacteristic
1430C22C2×#41×D1111yescharacteristic
1431C22C2×#41×D1111yescharacteristic
1432C22C2×#6704311yescharacteristic
1433C22#1062345311yescharacteristic
1434C22#1062345311yescharacteristic
1435C4—22no—
1436C4—22no—
1437C4—22no—
1438C4—22no—
1439C4—22no—
1440C4—22no—
1441C4—22no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—114no—
1449C4—222no—
1450C4—222no—
1451C4—222no—
1452C4—222no—
1453C4—222no—
1454C4—222no—
1455C4—441no—
1456C4—441no—
1457C4—441no—
1458C4—441no—
1459C4—441no—
1460C4—441no—
1461C4—441no—
1462C4—441no—
1463C2—24no—
1464C2—42no—
1465C2—224no—
1466C2C2×D11×#11711yescharacteristic
1467C2C4×#6703711yescharacteristic
1468C2C4×#6704311yescharacteristic
1469C2#1308254211yescharacteristic
1470C2#1308258211yescharacteristic
1471C2#1308265311yescharacteristic
1472C2#1308267011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2290C2
socle, cosocleC23×C11C25
prime radicalC22×#4341C22
hypercenter#2290D11
hypocenterC11#34260
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2290

Complements

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

NH ≅ G/Ntype
2. #13071582C2semidirect
3. #13071574C2semidirect
4. #13071559C2semidirect
5. #13071554C2semidirect
6. #13071546C2semidirect
7. #13071543C2semidirect
8. #13071522C2semidirect
9. #13071514C2semidirect
10. #13071494C2semidirect
11. #13071486C2semidirect
12. #13071479C2semidirect
13. #13071477C2semidirect
14. #13071474C2semidirect
15. #13071474C2semidirect
18. #13071265C2semidirect
19. #13071249C2semidirect
20. #13071246C2semidirect
21. #13071220C2semidirect
22. #13071216C2semidirect
23. #13071215C2semidirect
24. #13071110C2semidirect
25. #13071089C2semidirect
26. #13071058C2semidirect
27. C2×#10622546C2semidirect
28. D11×#387C2semidirect
29. #13070975C2semidirect
30. C42×C22⋊D11C2semidirect
31. C11×#2290C2semidirect
44. #10623077C4semidirect
212. C4×D4×C11C2×C4semidirect
243. D4×Dic11C2×C4semidirect
247. C4×C22⋊D11C2×C4semidirect
260. C2×Dic11⋊C4C2×C4semidirect
261. C2×Dic11⋊C4C2×C4semidirect
302. C4⋊C4×D11C2×C4semidirect
303. #66940C2×C4semidirect
307. (C22⋊D11)⋊C4C2×C4semidirect
309. #66930C2×C4semidirect
310. #66930C2×C4semidirect
311. #66925C2×C4semidirect
313. C4×Dic22C2×C4semidirect
570. #2290D11semidirect
642. C22⋊D11#117semidirect
949. C4×D4C4×D11semidirect
1279. C11#34260semidirect

Maximal subgroups

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

subgroupindex
C2×#106230772
#130715822
#130715742
#130715592
#130715542
#130715462
#130715432
#130715222
#130715142
#130714942
#130714862
#130714792
#130714772
#130714742
#130714422
#130712652
#130712492
#130712462
#130712202
#130712162
#130712152
#130711102
#130710892
#130710582
C2×#106225462
D11×#3872
#130709752
C42×C22⋊D112
C11×#22902
#3426011