Finite Group Databasebeta

← #14924257

Subgroups — #14924257

Order 2816.

2160 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073957C211yesmaximal, characteristic, complemented
2#13073934C211yesmaximal, characteristic, complemented
3#13073925C211yesmaximal, characteristic, complemented
4#13073902C211yesmaximal, characteristic, complemented
5#13073895C211yesmaximal, characteristic, complemented
6#13073880C211yesmaximal, characteristic, complemented
7#13073863C211yesmaximal, characteristic, complemented
8#13073838C211yesmaximal, characteristic, complemented
9#13073795C211yesmaximal, characteristic, complemented
10#13073772C211yesmaximal, characteristic, complemented
11#13073667C211yesmaximal, characteristic, complemented
12#13073510C211yesmaximal, characteristic
13#13073000C211yesmaximal, characteristic, complemented
14#13072866C211yesmaximal, characteristic, complemented
15#13072100C211yesmaximal, characteristic, complemented
16#13072085C211yesmaximal, characteristic
17#13071917C211yesmaximal, characteristic, complemented
18#13071902C211yesmaximal, characteristic, complemented
19#13071890C211yesmaximal, characteristic, complemented
20#13071873C211yesmaximal, characteristic, complemented
21C4×#66929C211yesmaximal, characteristic, complemented
22C4×#66949C211yesmaximal, characteristic, complemented
23C4×#66947C211yesmaximal, characteristic, complemented
24C4×#66947C211yesmaximal, characteristic, complemented
25C4×#66935C211yesmaximal, characteristic
26#13071062C211yesmaximal, characteristic, complemented
27#13071008C211yesmaximal, characteristic, complemented
28#13070995C211yesmaximal, characteristic, complemented
29C42×D44C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2298C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#117C2211yescharacteristic
34C2×C4×C22⋊D11C2211yescharacteristic
35C2×#66979C2211yescharacteristic
36C2×#66949C2211yescharacteristic
37C2×#66947C2211yescharacteristic
38C2×#66947C2211yescharacteristic
39C2×#66935C2211yescharacteristic
40C2×C22⋊C4×D11C2211yescharacteristic
41C2×C22⋊C4×D11C2211yescharacteristic
42C2×#66929C2211yescharacteristic
43C2×C4×D44C2211yescharacteristic
44C2×C4×D44C2211yescharacteristic
45C2×C4×D44C2211yescharacteristic
46C2×C4×D44C2211yescharacteristic
47C2×C42×D11C2211yescharacteristic
48C2×C42×D11C2211yescharacteristic
49C2×C42×D11C2211yescharacteristic, complemented
50C2×C4×Dic22C2211yescharacteristic, complemented
51C11×#388C2211yescharacteristic
52C11×#388C2211yescharacteristic
53C11×#388C2211yescharacteristic
54C11×#388C2211yescharacteristic
55C11×#387C2211yescharacteristic, complemented
56C11×#387C2211yescharacteristic, complemented
57C11×#387C2211yescharacteristic, complemented
58C11×#387C2211yescharacteristic, complemented
59C4×C11×C4⋊C4C2211yescharacteristic, complemented
60C4×C11×C4⋊C4C2211yescharacteristic, complemented
61C4×C11×C22⋊C4C2211yescharacteristic
62C4×C11×C22⋊C4C2211yescharacteristic
63C11×#376C2211yescharacteristic, complemented
64C43×C11C2211yescharacteristic, complemented
65C4×C22⋊Dic11C2211yescharacteristic
66#10622607C2211yescharacteristic
67#10622606C2211yescharacteristic
68#10622606C2211yescharacteristic, complemented
69#10622605C2211yescharacteristic, complemented
70#10622603C2211yescharacteristic
71#10622603C2211yescharacteristic, complemented
72#10622602C2211yescharacteristic
73#10622602C2211yescharacteristic
74#10622602C2211yescharacteristic, complemented
75#10622600C2211yescharacteristic
76#10622600C2211yescharacteristic
77#10622600C2211yescharacteristic
78#10622600C2211yescharacteristic
79#10622599C2211yescharacteristic, complemented
80#10622595C2211yescharacteristic, complemented
81#10622595C2211yescharacteristic, complemented
82#10622594C2211yescharacteristic, complemented
83#10622594C2211yescharacteristic, complemented
84#10622594C2211yescharacteristic, complemented
85#10622593C2211yescharacteristic, complemented
86#10622585C2211yescharacteristic, complemented
87#10622572C2211yescharacteristic
88#10622572C2211yescharacteristic
89#10622571C2211yescharacteristic
90#10622569C2211yescharacteristic
91#10622569C2211yescharacteristic
92#10622568C2211yescharacteristic
93#10622568C2211yescharacteristic
94#10622568C2211yescharacteristic
95#10622565C2211yescharacteristic
96#10622565C2211yescharacteristic
97#10622563C2211yescharacteristic
98#10622562C2211yescharacteristic
99#10622561C2211yescharacteristic
100#10622561C2211yescharacteristic
101#10622560C2211yescharacteristic
102#10622558C2211yescharacteristic
103#10622558C2211yescharacteristic
104#10622556C2211yescharacteristic
105#10622556C2211yescharacteristic
106C22⋊C4×Dic11C2211yescharacteristic
107C22⋊C4×Dic11C2211yescharacteristic
108#10622553C2211yescharacteristic
109#10622553C2211yescharacteristic
110#10622553C2211yescharacteristic
111C4×(C2×D11)⋊C4C2211yescharacteristic
112C4×(C2×D11)⋊C4C2211yescharacteristic
113C4×(C2×D11)⋊C4C2211yescharacteristic
114C4×(C2×D11)⋊C4C2211yescharacteristic
115C4×(C2×D11)⋊C4C2211yescharacteristic
116C4×(C2×D11)⋊C4C2211yescharacteristic
117C4×(C2×D11)⋊C4C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
122C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
123C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
124C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
125C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
126#10622550C2211yescharacteristic, complemented
127C4×C4⋊Dic11C2211yescharacteristic, complemented
128C4×C4⋊Dic11C2211yescharacteristic, complemented
129C4×C4⋊Dic11C2211yescharacteristic, complemented
130#10622546C2211yescharacteristic, complemented
131#10622546C2211yescharacteristic, complemented
132#10622546C2211yescharacteristic, complemented
133#10622545C2211yescharacteristic, complemented
134C4×Dic11⋊C4C2211yescharacteristic, complemented
135C4×Dic11⋊C4C2211yescharacteristic, complemented
136C4×Dic11⋊C4C2211yescharacteristic, complemented
137C4×Dic11⋊C4C2211yescharacteristic, complemented
138C4×Dic11⋊C4C2211yescharacteristic, complemented
139#10622288C2211yescharacteristic
140#10622287C2211yescharacteristic
141#10622287C2211yescharacteristic
142#10622287C2211yescharacteristic, complemented
143#10622286C2211yescharacteristic
144#10622286C2211yescharacteristic, complemented
145#10622285C2211yescharacteristic
146#10622285C2211yescharacteristic
147#10622282C2211yescharacteristic
148#10622282C2211yescharacteristic, complemented
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic
152#10622281C2211yescharacteristic, complemented
153#10622281C2211yescharacteristic, complemented
154#10622280C2211yescharacteristic
155#10622280C2211yescharacteristic
156#10622280C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622277C2211yescharacteristic
164#10622277C2211yescharacteristic
165#10622277C2211yescharacteristic
166#10622277C2211yescharacteristic, complemented
167D11×#95C2211yescharacteristic
168D11×#95C2211yescharacteristic
169C11⋊#401C2211yescharacteristic, complemented
170#10622274C2211yescharacteristic, complemented
171#10622273C2211yescharacteristic, complemented
172#10622273C2211yescharacteristic, complemented
173#10622272C2211yescharacteristic, complemented
174#10622272C2211yescharacteristic, complemented
175#10622270C2211yescharacteristic, complemented
176#10622269C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C22×D44C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×C4×D11—24no—
194C22×C4×D11—24no—
195C22×C4×D11—42no—
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C11×#117—24no—
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊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×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C4×C22⋊D11—24no—
237C2×(C2×D11)⋊C4C2311yescharacteristic
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
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×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264#66979—42no—
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
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×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
296#66949—24no—
297#66947—24no—
298#66947—24no—
299#66935—24no—
300C22⋊C4×D11—24no—
301C22⋊C4×D11—24no—
302#66929—24no—
303C4×D44—24no—
304C4×D44—24no—
305C4×D44—24no—
306C4×D44—42no—
307C42×D11—24no—
308C42×D11—42no—
309C42×D11—42no—
310C4×Dic22—42no—
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
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
363#34849—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11—22no—
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—22no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C22×C4×C11—22no—
376C22×C4×C11—22no—
377C22×C4×C11#4114yes—
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
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C2×C22⋊D11—22no—
393C2×C22⋊D11—22no—
394C2×C22⋊D11—41no—
395C22×Dic11—22no—
396C22×Dic11—22no—
397C22×Dic11—41no—
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C2×D44—22no—
412C2×D44—22no—
413C2×D44—22no—
414C2×D44—22no—
415C2×D44—41no—
416C2×D44#4114yes—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—22no—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—416no—
449C2×C4×D11#4114yes—
450C2×C4×D11#4114yes—
451C2×Dic22—22no—
452C2×Dic22—41no—
453C2×Dic22—41no—
454C11×C4⋊C4—22no—
455C11×C4⋊C4—22no—
456C11×C4⋊C4—22no—
457C11×C4⋊C4—22no—
458C11×C4⋊C4—22no—
459C11×C4⋊C4—41no—
460C11×C22⋊C4—22no—
461C11×C22⋊C4—22no—
462C11×C22⋊C4—22no—
463C11×C22⋊C4—22no—
464C11×C22⋊C4—22no—
465C11×C22⋊C4—41no—
466C42×C11—22no—
467C42×C11—22no—
468C42×C11—22no—
469C42×C11—22no—
470C42×C11—22no—
471C42×C11—22no—
472C42×C11—22no—
473C42×C11—22no—
474C42×C11—22no—
475C42×C11—41no—
476C22⋊Dic11—22no—
477C22⋊Dic11—22no—
478C22⋊Dic11—22no—
479C22⋊Dic11—41no—
480C22⋊Dic11—41no—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—22no—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—22no—
498(C2×D11)⋊C4—22no—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—22no—
501(C2×D11)⋊C4—22no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507(C2×D11)⋊C4#4114yes—
508C4⋊Dic11—22no—
509C4⋊Dic11—22no—
510C4⋊Dic11—22no—
511C4⋊Dic11—41no—
512C4⋊Dic11—41no—
513C4⋊Dic11—41no—
514C4⋊Dic11—41no—
515Dic11⋊C4—22no—
516Dic11⋊C4—22no—
517Dic11⋊C4—22no—
518Dic11⋊C4—22no—
519Dic11⋊C4—22no—
520Dic11⋊C4—22no—
521Dic11⋊C4—22no—
522Dic11⋊C4—22no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—22no—
531C4×Dic11—22no—
532C4×Dic11—22no—
533C4×Dic11—22no—
534C4×Dic11—22no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539#2578—111no—
540#2577—111no—
541#2576—111no—
542#2575—111no—
543#2574—111no—
544#2573—111no—
545#2572—111no—
546#2569—111no—
547#2564—111no—
548#2561—111no—
549#2553—111no—
550#2534—111no—
551#2493—111no—
552#2480—111no—
553#2419—111no—
554#2418—111no—
555#2401—111no—
556#2398—111no—
557#2396—111no—
558#2395—111no—
559C4×#126—111no—
560C4×C22⋊Q8—111no—
561C4×#123—111no—
562C4×#123—111no—
563C4×#120—111no—
564#2298D1111yescharacteristic, complemented
565#2290—111no—
566#2283—111no—
567#2280—111no—
568C42×D4—111no—
569C2×C4×C22⋊C4—111no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11C2×#4112yes—
577C23×C11C2511yescharacteristic
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—28no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—44no—
596C22×D11—44no—
597C22×D11—44no—
598C22×D11—44no—
599C22×D11—44no—
600C22×D11—44no—
601C22×D11C2×#4112yes—
602C22×D11C2×#4112yes—
603C22×D11C2×#4112yes—
604C22×D11C2×#4112yes—
605C22×D11C2×#4112yes—
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—28no—
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—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×C11C2×#4112yes—
643C2×C4×C11C2×#4112yes—
644C2×C4×C11C2×#4112yes—
645C2×C4×C11C2×#4112yes—
646C2×C4×C11C2×#4112yes—
647C2×C4×C11C2×#4112yes—
648C2×C4×C11H(5,𝔽2)12yes—
649C22⋊D11—44no—
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—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—44no—
687C2×Dic11C2×#4112yes—
688C2×Dic11C2×#4112yes—
689C2×Dic11C2×#4112yes—
690D44—28no—
691D44—44no—
692C4×D11—28no—
693C4×D11—44no—
694C4×D11—44no—
695C4×D11—44no—
696C4×D11—44no—
697C4×D11—44no—
698C4×D11—44no—
699C4×D11—44no—
700C4×D11—44no—
701C4×D11—44no—
702C4×D11—44no—
703Dic22—44no—
704C24×C4—111no—
705C2×#126—111no—
706C2×#123—111no—
707C2×#123—111no—
708C2×C22⋊Q8—111no—
709C2×#120—111no—
710C2×C4×Q8—111no—
711C2×C4×D4—111no—
712C2×C4×D4—111no—
713C2×C4×D4—111no—
714C2×C4×D4—111no—
715C2×C4×D4—111no—
716C2×#117—111no—
717C2×#117C2×D1111yescharacteristic
718C22×C22⋊C4—111no—
719C22×C22⋊C4—111no—
720C22×C42—111no—
721C22×C42—111no—
722C22×C42—111no—
723#401—111no—
724#400—111no—
725#400—111no—
726#400—111no—
727#400—111no—
728#400—111no—
729#400—111no—
730#400—111no—
731#399—111no—
732#399—111no—
733#398—111no—
734#398—111no—
735#398—111no—
736#397—111no—
737#397—111no—
738#397—111no—
739#397—111no—
740#397—111no—
741#397—111no—
742#397—111no—
743#397—111no—
744#396—111no—
745#396—111no—
746#396—111no—
747#395—111no—
748#394—111no—
749#394—111no—
750#394—111no—
751#394—111no—
752#393—111no—
753#393—111no—
754#393—111no—
755#391—111no—
756#389—111no—
757#388—111no—
758#388—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388C2×D1111yescharacteristic
767#388C2×D1111yescharacteristic
768#388C2×D1111yescharacteristic
769#388C2×D1111yescharacteristic
770#387—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387C2×D1111yescharacteristic, complemented
782#387C2×D1111yescharacteristic, complemented
783#387C2×D1111yescharacteristic, complemented
784#387C2×D1111yescharacteristic, complemented
785#386—111no—
786#386—111no—
787#386—111no—
788#386—111no—
789#386—111no—
790#386—111no—
791#386—111no—
792#385—111no—
793#385—111no—
794#385—111no—
795#385—111no—
796#385—111no—
797#385—111no—
798#385—111no—
799#385—111no—
800#385—111no—
801#383—111no—
802#383—111no—
803#383—111no—
804#382—111no—
805#382—111no—
806#381—111no—
807#381—111no—
808#381—111no—
809#381—111no—
810#381—111no—
811#381—111no—
812#380—111no—
813#380—111no—
814#380—111no—
815#380—111no—
816#380—111no—
817#380—111no—
818#380—111no—
819#379—111no—
820#379—111no—
821#379—111no—
822C4×C4⋊C4—111no—
823C4×C4⋊C4—111no—
824C4×C4⋊C4—111no—
825C4×C4⋊C4—111no—
826C4×C4⋊C4—111no—
827C4×C4⋊C4—111no—
828C4×C4⋊C4—111no—
829C4×C4⋊C4—111no—
830C4×C4⋊C4C2×D1111yescharacteristic, complemented
831C4×C4⋊C4C2×D1111yescharacteristic, complemented
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⋊C4—111no—
843C4×C22⋊C4—111no—
844C4×C22⋊C4—111no—
845C4×C22⋊C4—111no—
846C4×C22⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4—111no—
851C4×C22⋊C4—111no—
852C4×C22⋊C4C2×D1111yescharacteristic
853C4×C22⋊C4C2×D1111yescharacteristic
854#376—111no—
855#376C2×D1111yescharacteristic, complemented
856C2×#95—111no—
857C2×#95—111no—
858C43C2×D1111yescharacteristic, complemented
859C22×C11—22no—
860C22×C11—22no—
861C22×C11—22no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11C22×#4111yescharacteristic
867C22×C11C22×#4111yescharacteristic
868C22×C11C22×#4111yescharacteristic
869C22×C11C22×#4111yescharacteristic
870C22×C11C22×#4111yescharacteristic
871C22×C11C2×H(5,𝔽2)11yescharacteristic
872C22×C11#58511yescharacteristic
873C2×D11—22no—
874C2×D11—22no—
875C2×D11—22no—
876C2×D11—22no—
877C2×D11—22no—
878C2×D11—22no—
879C2×D11—22no—
880C2×D11—22no—
881C2×D11—22no—
882C2×D11—22no—
883C2×D11—22no—
884C2×D11—22no—
885C2×D11—416no—
886C2×D11—41no—
887C2×D11—41no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11—41no—
893C2×D11—41no—
894C2×D11#52914yes—
895C4×C11—22no—
896C4×C11—22no—
897C4×C11—22no—
898C4×C11—22no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11#55114yes—
909Dic11—22no—
910Dic11—22no—
911Dic11—22no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921Dic11—41no—
922C25—111no—
923C22×Q8—111no—
924C22×D4—111no—
925C22×D4—111no—
926C22×D4—111no—
927C23×C4—111no—
928C23×C4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4—224no—
940C23×C4—224no—
941C23×C4—442no—
942C23×C4C22×D1111yescharacteristic
943#126—224no—
944#123—224no—
945#123—224no—
946C22⋊Q8—224no—
947#120—224no—
948C4×Q8—442no—
949C4×D4—224no—
950C4×D4—224no—
951C4×D4—224no—
952C4×D4—224no—
953C4×D4—442no—
954#117—24no—
955#117—442no—
956C2×C4⋊C4—111no—
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—111no—
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⋊C4C22×D1111yescharacteristic
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
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⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—224no—
1015C2×C22⋊C4—224no—
1016C2×C22⋊C4C22×D1111yescharacteristic
1017C2×C22⋊C4C22×D1111yescharacteristic
1018C2×C22⋊C4C22×D1111yescharacteristic
1019C2×C22⋊C4C22×D1111yescharacteristic
1020C2×C22⋊C4C22×D1111yescharacteristic
1021C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1033C2×C42—224no—
1034C2×C42—442no—
1035C2×C42—442no—
1036C2×C42C22×D1111yescharacteristic
1037C2×C42C22×D1111yescharacteristic
1038C2×C42C22×D1111yescharacteristic
1039C2×C42C22×D1111yescharacteristic
1040C2×C42C22×D1111yescharacteristic
1041C2×C42C22×D1111yescharacteristic
1042C2×C42C22×D1111yescharacteristic
1043C2×C42C22×D1111yescharacteristic
1044C2×C42C22×D1111yescharacteristic
1045C2×C42C22×D1111yescharacteristic
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
1096#95C22×D1111yescharacteristic
1097#95C22×D1111yescharacteristic
1098C2×C11—42no—
1099C2×C11C2×#52911yescharacteristic
1100C2×C11#344411yescharacteristic
1101C2×C11#345911yescharacteristic
1102C2×C11C2×#55111yescharacteristic
1103C2×C11#347511yescharacteristic
1104C2×C11#347511yescharacteristic
1105C2×C11#348111yescharacteristic
1106D11—24no—
1107D11—42no—
1108D11—42no—
1109C24—111no—
1110C24—111no—
1111C24—111no—
1112C24—222no—
1113C24—222no—
1114C24—222no—
1115C24—222no—
1116C24—222no—
1117C24—441no—
1118C24—441no—
1119C24C23×D1111yescharacteristic
1120C2×Q8—222no—
1121C2×Q8—441no—
1122C2×Q8—441no—
1123C2×D4—114no—
1124C2×D4—222no—
1125C2×D4—222no—
1126C2×D4—222no—
1127C2×D4—222no—
1128C2×D4—222no—
1129C2×D4—222no—
1130C2×D4—441no—
1131C2×D4—441no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—111no—
1135C22×C4—111no—
1136C22×C4—111no—
1137C22×C4—114no—
1138C22×C4—114no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—111no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—222no—
1150C22×C4—222no—
1151C22×C4—222no—
1152C22×C4—222no—
1153C22×C4—222no—
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—222no—
1169C22×C4—222no—
1170C22×C4—222no—
1171C22×C4—222no—
1172C22×C4—222no—
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—4416no—
1183C22×C4—441no—
1184C22×C4#433914yes—
1185C22×C4C23×D1111yescharacteristic
1186C22×C4C23×D1111yescharacteristic
1187C22×C4C23×D1111yescharacteristic
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
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—22no—
1202C4⋊C4—22no—
1203C4⋊C4—22no—
1204C4⋊C4—41no—
1205C4⋊C4—222no—
1206C4⋊C4—222no—
1207C4⋊C4—222no—
1208C4⋊C4—222no—
1209C4⋊C4—222no—
1210C4⋊C4—222no—
1211C4⋊C4—222no—
1212C4⋊C4—222no—
1213C4⋊C4—222no—
1214C4⋊C4—222no—
1215C4⋊C4—222no—
1216C4⋊C4—441no—
1217C4⋊C4—441no—
1218C4⋊C4—441no—
1219C4⋊C4—441no—
1220C4⋊C4—441no—
1221C4⋊C4—441no—
1222C4⋊C4—441no—
1223C4⋊C4—441no—
1224C4⋊C4—441no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—41no—
1231C22⋊C4—114no—
1232C22⋊C4—222no—
1233C22⋊C4—222no—
1234C22⋊C4—222no—
1235C22⋊C4—222no—
1236C22⋊C4—222no—
1237C22⋊C4—222no—
1238C22⋊C4—222no—
1239C22⋊C4—222no—
1240C22⋊C4—222no—
1241C22⋊C4—222no—
1242C22⋊C4—222no—
1243C22⋊C4—222no—
1244C22⋊C4—222no—
1245C22⋊C4—222no—
1246C22⋊C4—222no—
1247C22⋊C4—222no—
1248C22⋊C4—222no—
1249C22⋊C4—222no—
1250C22⋊C4—222no—
1251C22⋊C4—222no—
1252C22⋊C4—222no—
1253C22⋊C4—222no—
1254C22⋊C4—222no—
1255C22⋊C4—222no—
1256C22⋊C4—441no—
1257C22⋊C4—441no—
1258C22⋊C4—441no—
1259C22⋊C4—441no—
1260C22⋊C4—441no—
1261C22⋊C4—441no—
1262C22⋊C4—441no—
1263C42—22no—
1264C42—22no—
1265C42—22no—
1266C42—22no—
1267C42—22no—
1268C42—22no—
1269C42—22no—
1270C42—22no—
1271C42—22no—
1272C42—41no—
1273C42—222no—
1274C42—222no—
1275C42—222no—
1276C42—222no—
1277C42—222no—
1278C42—222no—
1279C42—222no—
1280C42—441no—
1281C42—441no—
1282C42—441no—
1283C42—441no—
1284C11#3484911yescharacteristic, complemented, Sylow
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—112no—
1292C23—112no—
1293C23—112no—
1294C23—112no—
1295C23—112no—
1296C23—228no—
1297C23—221no—
1298C23—221no—
1299C23—221no—
1300C23—221no—
1301C23—221no—
1302C23—221no—
1303C23—221no—
1304C23—221no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—221no—
1312C23—221no—
1313C23—444no—
1314C23—444no—
1315C23—444no—
1316C23—444no—
1317C23—444no—
1318C23—444no—
1319C23C2×#433912yes—
1320C23C24×D1111yescharacteristic
1321Q8—444no—
1322D4—228no—
1323D4—444no—
1324D4—444no—
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—28no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
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—112no—
1362C2×C4—112no—
1363C2×C4—112no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—228no—
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—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—444no—
1402C2×C4—444no—
1403C2×C4—444no—
1404C2×C4—444no—
1405C2×C4—444no—
1406C2×C4—444no—
1407C2×C4—444no—
1408C2×C4—444no—
1409C2×C4—444no—
1410C2×C4—444no—
1411C2×C4—444no—
1412C2×C4C2×#433912yes—
1413C2×C4C2×#433912yes—
1414C2×C4#41×D1112yes—
1415C2×C4#41×D1112yes—
1416C2×C4#41×D1112yes—
1417C2×C4#41×D1112yes—
1418C2×C4#6704212yes—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—114no—
1427C22—222no—
1428C22—222no—
1429C22—222no—
1430C22—222no—
1431C22—222no—
1432C22—222no—
1433C22—222no—
1434C22—222no—
1435C22—222no—
1436C22—222no—
1437C22—222no—
1438C22—222no—
1439C22—4416no—
1440C22—441no—
1441C22—441no—
1442C22—441no—
1443C22—441no—
1444C22—441no—
1445C22—441no—
1446C22—441no—
1447C22—441no—
1448C22C22×#433911yescharacteristic
1449C22C2×#41×D1111yescharacteristic
1450C22C2×#41×D1111yescharacteristic
1451C22C2×#41×D1111yescharacteristic
1452C22C2×#41×D1111yescharacteristic
1453C22C2×#6704211yescharacteristic
1454C22#1062345311yescharacteristic
1455C4—22no—
1456C4—22no—
1457C4—22no—
1458C4—22no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—222no—
1469C4—222no—
1470C4—222no—
1471C4—441no—
1472C4—441no—
1473C4—441no—
1474C4—441no—
1475C4—441no—
1476C4—441no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C4#1062305814yes—
1482C2—42no—
1483C2—224no—
1484C2—442no—
1485C2—442no—
1486C2D11×#52911yescharacteristic
1487C2#1308190911yescharacteristic
1488C2#1308202611yescharacteristic
1489C2C2×#1062305811yescharacteristic
1490C2#1308217211yescharacteristic
1491C2#1308218011yescharacteristic
1492C2#1308222211yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2298C2
prime radicalC2×#66935C22
hypercenter#2298D11
hypocenterC11#34849
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2298

Complements

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

NH ≅ G/Ntype
1. #13073957C2semidirect
2. #13073934C2semidirect
3. #13073925C2semidirect
4. #13073902C2semidirect
5. #13073895C2semidirect
6. #13073880C2semidirect
7. #13073863C2semidirect
8. #13073838C2semidirect
9. #13073795C2semidirect
10. #13073772C2semidirect
11. #13073667C2semidirect
13. #13073000C2semidirect
14. #13072866C2semidirect
15. #13072100C2semidirect
17. #13071917C2semidirect
18. #13071902C2semidirect
19. #13071890C2semidirect
20. #13071873C2semidirect
21. C4×#66929C2semidirect
22. C4×#66949C2semidirect
23. C4×#66947C2semidirect
24. C4×#66947C2semidirect
26. #13071062C2semidirect
27. #13071008C2semidirect
28. #13070995C2semidirect
29. C42×D44C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2298C2semidirect
49. C2×C42×D11C22semidirect
50. C2×C4×Dic22C22semidirect
55. C11×#387C22semidirect
56. C11×#387C22semidirect
57. C11×#387C22semidirect
58. C11×#387C22semidirect
59. C4×C11×C4⋊C4C22semidirect
60. C4×C11×C4⋊C4C22semidirect
63. C11×#376C22semidirect
64. C43×C11C22semidirect
68. #10622606C22semidirect
69. #10622605C22semidirect
71. #10622603C22semidirect
74. #10622602C22semidirect
79. #10622599C22semidirect
80. #10622595C22semidirect
81. #10622595C22semidirect
82. #10622594C22semidirect
83. #10622594C22semidirect
84. #10622594C22semidirect
85. #10622593C22semidirect
86. #10622585C22semidirect
121. C4×(C2×D11)⋊C4C22semidirect
122. C4×(C2×D11)⋊C4C22semidirect
123. C4×(C2×D11)⋊C4C22semidirect
124. C4×(C2×D11)⋊C4C22semidirect
125. C4×(C2×D11)⋊C4C22semidirect
126. #10622550C22semidirect
127. C4×C4⋊Dic11C22semidirect
128. C4×C4⋊Dic11C22semidirect
129. C4×C4⋊Dic11C22semidirect
130. #10622546C22semidirect
131. #10622546C22semidirect
132. #10622546C22semidirect
133. #10622545C22semidirect
134. C4×Dic11⋊C4C22semidirect
135. C4×Dic11⋊C4C22semidirect
136. C4×Dic11⋊C4C22semidirect
137. C4×Dic11⋊C4C22semidirect
138. C4×Dic11⋊C4C22semidirect
142. #10622287C22semidirect
144. #10622286C22semidirect
148. #10622282C22semidirect
152. #10622281C22semidirect
153. #10622281C22semidirect
166. #10622277C22semidirect
169. C11⋊#401C22semidirect
170. #10622274C22semidirect
171. #10622273C22semidirect
172. #10622273C22semidirect
173. #10622272C22semidirect
174. #10622272C22semidirect
175. #10622270C22semidirect
176. #10622269C22semidirect
177. #10622268C22semidirect
178. #10622268C22semidirect
179. #10622268C22semidirect
180. #10622268C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622264C22semidirect
184. #10622263C22semidirect
185. #10622263C22semidirect
186. #10622259C22semidirect
564. #2298D11semidirect
781. #387C2×D11semidirect
782. #387C2×D11semidirect
783. #387C2×D11semidirect
784. #387C2×D11semidirect
830. C4×C4⋊C4C2×D11semidirect
831. C4×C4⋊C4C2×D11semidirect
855. #376C2×D11semidirect
858. C43C2×D11semidirect
1284. C11#34849semidirect

Maximal subgroups

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

subgroupindex
#130739572
#130739342
#130739252
#130739022
#130738952
#130738802
#130738632
#130738382
#130737952
#130737722
#130736672
#130735102
#130730002
#130728662
#130721002
#130720852
#130719172
#130719022
#130718902
#130718732
C4×#669292
C4×#669492
C4×#669472
C4×#669352
#130710622
#130710082
#130709952
C42×D442
C4×C22⋊C4×D112
C11×#22982
#3484911