Finite Group Databasebeta

← #14925956

Subgroups — #14925956

Order 2816.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074163C211yesmaximal, characteristic, complemented
2#13074141C211yesmaximal, characteristic, complemented
3#13074063C211yesmaximal, characteristic, complemented
4#13074041C211yesmaximal, characteristic, complemented
5#13073948C211yesmaximal, characteristic, complemented
6#13073926C211yesmaximal, characteristic, complemented
7#13073743C211yesmaximal, characteristic, complemented
8#13073721C211yesmaximal, characteristic, complemented
9#13073183C211yesmaximal, characteristic, complemented
10#13073114C211yesmaximal, characteristic, complemented
11#13072858C211yesmaximal, characteristic, complemented
12#13072746C211yesmaximal, characteristic, complemented
13#13072439C211yesmaximal, characteristic, complemented
14#13072371C211yesmaximal, characteristic, complemented
15#13072157C211yesmaximal, characteristic
16#13072085C211yesmaximal, characteristic, complemented
17#13071917C211yesmaximal, characteristic, complemented
18#13071903C211yesmaximal, characteristic, complemented
19#13071877C211yesmaximal, characteristic, complemented
20#13071856C211yesmaximal, characteristic, complemented
21C4×#66928C211yesmaximal, characteristic, complemented
22C4×#66949C211yesmaximal, characteristic, complemented
23C4×#66947C211yesmaximal, characteristic, complemented
24C4×#66948C211yesmaximal, characteristic, complemented
25C4×#66937C211yesmaximal, characteristic, complemented
26C4×#66935C211yesmaximal, characteristic, complemented
27C4×#66935C211yesmaximal, characteristic, complemented
28#13071057C211yesmaximal, characteristic, complemented
29C42×D44C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C4×C11×#126C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C4×C22⋊D11C2211yescharacteristic
35C2×C4×C22⋊D11C2211yescharacteristic
36C2×#66949C2211yescharacteristic
37C2×#66948C2211yescharacteristic
38C2×#66947C2211yescharacteristic
39C2×#66937C2211yescharacteristic
40C2×#66935C2211yescharacteristic
41C2×#66935C2211yescharacteristic
42C2×C22⋊C4×D11C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×#66928C2211yescharacteristic
45C2×C4×D44C2211yescharacteristic
46C2×C4×D44C2211yescharacteristic
47C2×C4×D44C2211yescharacteristic
48C2×C4×D44C2211yescharacteristic
49C2×C4×D44C2211yescharacteristic
50C2×C4×D44C2211yescharacteristic
51C2×C4×D44C2211yescharacteristic, complemented
52C2×#66925C2211yescharacteristic, complemented
53C2×C42×D11C2211yescharacteristic
54C2×C42×D11C2211yescharacteristic
55C2×C42×D11C2211yescharacteristic, complemented
56C2×C4×Dic22C2211yescharacteristic, complemented
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#388C2211yescharacteristic
60C11×#387C2211yescharacteristic, complemented
61C11×#387C2211yescharacteristic, complemented
62C11×#387C2211yescharacteristic, complemented
63C11×#383C2211yescharacteristic, complemented
64C4×C11×C4⋊C4C2211yescharacteristic, complemented
65C4×C11×C4⋊C4C2211yescharacteristic, complemented
66C4×C11×C4⋊C4C2211yescharacteristic, complemented
67C4×C11×C22⋊C4C2211yescharacteristic
68C4×C11×C22⋊C4C2211yescharacteristic
69C4×C11×C22⋊C4C2211yescharacteristic
70C43×C11C2211yescharacteristic, complemented
71C4×C22⋊Dic11C2211yescharacteristic
72#10622607C2211yescharacteristic
73#10622607C2211yescharacteristic
74#10622607C2211yescharacteristic, complemented
75#10622606C2211yescharacteristic
76#10622604C2211yescharacteristic
77#10622604C2211yescharacteristic, complemented
78#10622603C2211yescharacteristic
79#10622603C2211yescharacteristic, complemented
80#10622603C2211yescharacteristic, complemented
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic, complemented
85#10622601C2211yescharacteristic, complemented
86#10622600C2211yescharacteristic
87#10622599C2211yescharacteristic, complemented
88#10622598C2211yescharacteristic, complemented
89#10622595C2211yescharacteristic, complemented
90#10622594C2211yescharacteristic, complemented
91#10622594C2211yescharacteristic, complemented
92#10622585C2211yescharacteristic, complemented
93#10622574C2211yescharacteristic
94#10622574C2211yescharacteristic
95#10622572C2211yescharacteristic
96#10622572C2211yescharacteristic
97#10622571C2211yescharacteristic
98#10622571C2211yescharacteristic
99#10622570C2211yescharacteristic
100#10622569C2211yescharacteristic
101#10622568C2211yescharacteristic
102#10622568C2211yescharacteristic
103#10622565C2211yescharacteristic
104#10622565C2211yescharacteristic
105#10622564C2211yescharacteristic
106#10622563C2211yescharacteristic
107#10622563C2211yescharacteristic
108#10622562C2211yescharacteristic
109#10622560C2211yescharacteristic
110C22⋊C4×Dic11C2211yescharacteristic
111C22⋊C4×Dic11C2211yescharacteristic
112#10622553C2211yescharacteristic
113#10622553C2211yescharacteristic
114#10622553C2211yescharacteristic, complemented
115#10622553C2211yescharacteristic, complemented
116#10622552C2211yescharacteristic
117C4×(C2×D11)⋊C4C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
126C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
127C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
128C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
129C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
130C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
131#10622549C2211yescharacteristic, complemented
132C4×C4⋊Dic11C2211yescharacteristic, complemented
133C4×C4⋊Dic11C2211yescharacteristic, complemented
134C4×C4⋊Dic11C2211yescharacteristic, complemented
135#10622545C2211yescharacteristic, complemented
136C4×Dic11⋊C4C2211yescharacteristic, complemented
137C4×Dic11⋊C4C2211yescharacteristic, complemented
138#10622542C2211yescharacteristic, complemented
139#10622288C2211yescharacteristic
140#10622288C2211yescharacteristic, complemented
141#10622288C2211yescharacteristic, complemented
142#10622287C2211yescharacteristic
143#10622287C2211yescharacteristic, complemented
144#10622287C2211yescharacteristic, complemented
145#10622286C2211yescharacteristic, complemented
146#10622285C2211yescharacteristic
147#10622284C2211yescharacteristic
148#10622283C2211yescharacteristic, complemented
149#10622283C2211yescharacteristic, complemented
150#10622282C2211yescharacteristic
151#10622282C2211yescharacteristic, complemented
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622280C2211yescharacteristic
158#10622280C2211yescharacteristic, complemented
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic, complemented
171#10622277C2211yescharacteristic, complemented
172D11×#95C2211yescharacteristic
173D11×#95C2211yescharacteristic
174C11⋊#401C2211yescharacteristic, complemented
175#10622274C2211yescharacteristic, complemented
176#10622273C2211yescharacteristic, complemented
177#10622273C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×D44C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×C4×D11—24no—
198C22×C4×D11—42no—
199C22×C4×D11—42no—
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×#126—24no—
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊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×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C4×C22⋊D11—42no—
241C4×C22⋊D11—42no—
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
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304#66949—24no—
305#66948—24no—
306#66947—24no—
307#66937—24no—
308#66935—24no—
309#66935—24no—
310C22⋊C4×D11—24no—
311C22⋊C4×D11—24no—
312#66928—24no—
313C4×D44—24no—
314C4×D44—24no—
315C4×D44—24no—
316C4×D44—24no—
317C4×D44—42no—
318C4×D44—42no—
319C4×D44—42no—
320#66925—42no—
321C42×D11—42no—
322C42×D11—42no—
323C42×D11—42no—
324C4×Dic22—42no—
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
369#34959—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C23×D11—22no—
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11C2411yescharacteristic
379C23×D11C2411yescharacteristic
380C23×D11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C22×C4×C11—22no—
383C22×C4×C11—22no—
384C22×C4×C11—22no—
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
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
399C2×C22⋊D11—22no—
400C2×C22⋊D11—22no—
401C2×C22⋊D11—22no—
402C2×C22⋊D11—22no—
403C2×C22⋊D11—41no—
404C2×C22⋊D11—41no—
405C22×Dic11—22no—
406C22×Dic11—41no—
407C22×Dic11—41no—
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C2×D44—22no—
421C2×D44—22no—
422C2×D44—22no—
423C2×D44—22no—
424C2×D44—22no—
425C2×D44—22no—
426C2×D44—22no—
427C2×D44—22no—
428C2×D44—22no—
429C2×D44—22no—
430C2×D44—22no—
431C2×D44—41no—
432C2×D44—41no—
433C2×D44—41no—
434C2×D44#4114yes—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
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—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—416no—
471C2×C4×D11#4114yes—
472C2×Dic22—22no—
473C2×Dic22—22no—
474C2×Dic22—41no—
475C11×C4⋊C4—22no—
476C11×C4⋊C4—22no—
477C11×C4⋊C4—22no—
478C11×C4⋊C4—22no—
479C11×C4⋊C4—22no—
480C11×C4⋊C4—22no—
481C11×C22⋊C4—22no—
482C11×C22⋊C4—22no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—22no—
485C11×C22⋊C4—22no—
486C11×C22⋊C4#4114yes—
487C42×C11—22no—
488C42×C11—22no—
489C42×C11—22no—
490C42×C11—22no—
491C42×C11—22no—
492C42×C11—22no—
493C42×C11—22no—
494C42×C11—22no—
495C42×C11—22no—
496C42×C11—22no—
497C22⋊Dic11—22no—
498C22⋊Dic11—22no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501(C2×D11)⋊C4—22no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4#4114yes—
534(C2×D11)⋊C4#4114yes—
535C4⋊Dic11—22no—
536C4⋊Dic11—22no—
537C4⋊Dic11—22no—
538C4⋊Dic11—22no—
539C4⋊Dic11—41no—
540C4⋊Dic11—41no—
541C4⋊Dic11—41no—
542C4⋊Dic11—41no—
543Dic11⋊C4—22no—
544Dic11⋊C4—22no—
545Dic11⋊C4—22no—
546Dic11⋊C4—22no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553C4×Dic11—22no—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563#2597—111no—
564#2595—111no—
565#2589—111no—
566#2587—111no—
567#2578—111no—
568#2576—111no—
569#2559—111no—
570#2557—111no—
571#2510—111no—
572#2505—111no—
573#2480—111no—
574#2472—111no—
575#2450—111no—
576#2444—111no—
577#2424—111no—
578#2418—111no—
579#2401—111no—
580#2398—111no—
581#2395—111no—
582#2392—111no—
583C4×#126D1111yescharacteristic, complemented
584C4×#124—111no—
585C4×C22⋊Q8—111no—
586C4×#123—111no—
587C4×#121—111no—
588C4×#121—111no—
589C4×#120—111no—
590C4×#120—111no—
591#2290—111no—
592C42×D4—111no—
593C2×C4×C22⋊C4—111no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11C2×#4112yes—
601C23×C11C2511yescharacteristic
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—28no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—44no—
627C22×D11—44no—
628C22×D11—44no—
629C22×D11—44no—
630C22×D11—44no—
631C22×D11—44no—
632C22×D11C2×#4112yes—
633C22×D11C2×#4112yes—
634C22×D11C2×#4112yes—
635C22×D11C2×#4112yes—
636C22×D11C2×#4112yes—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—44no—
672C2×C4×C11C2×#4112yes—
673C2×C4×C11C2×#4112yes—
674C2×C4×C11C2×#4112yes—
675C2×C4×C11C2×#4112yes—
676C2×C4×C11C2×#4112yes—
677C2×C4×C11C2×#4112yes—
678C2×C4×C11H(5,𝔽2)12yes—
679C2×C4×C11H(5,𝔽2)12yes—
680C22⋊D11—44no—
681C22⋊D11—44no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—44no—
716C2×Dic11C2×#4112yes—
717C2×Dic11C2×#4112yes—
718C2×Dic11C2×#4112yes—
719D44—28no—
720D44—44no—
721D44—44no—
722D44—44no—
723D44—44no—
724C4×D11—28no—
725C4×D11—44no—
726C4×D11—44no—
727C4×D11—44no—
728C4×D11—44no—
729C4×D11—44no—
730C4×D11—44no—
731C4×D11—44no—
732C4×D11—44no—
733C4×D11—44no—
734C4×D11—44no—
735C4×D11—44no—
736Dic22—44no—
737C24×C4—111no—
738C2×#126C2×D1111yescharacteristic
739C2×#124—111no—
740C2×#123—111no—
741C2×C22⋊Q8—111no—
742C2×#121—111no—
743C2×#121—111no—
744C2×#120—111no—
745C2×#120—111no—
746C2×C4×Q8—111no—
747C2×C4×D4—111no—
748C2×C4×D4—111no—
749C2×C4×D4—111no—
750C2×C4×D4—111no—
751C2×C4×D4—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×C4×D4—111no—
755C2×C4×D4—111no—
756C2×#117—111no—
757C22×C22⋊C4—111no—
758C22×C22⋊C4—111no—
759C22×C42—111no—
760C22×C42—111no—
761C22×C42—111no—
762#401—111no—
763#400—111no—
764#400—111no—
765#400—111no—
766#400—111no—
767#400—111no—
768#400—111no—
769#399—111no—
770#398—111no—
771#398—111no—
772#397—111no—
773#397—111no—
774#397—111no—
775#397—111no—
776#397—111no—
777#397—111no—
778#397—111no—
779#397—111no—
780#397—111no—
781#396—111no—
782#396—111no—
783#396—111no—
784#394—111no—
785#394—111no—
786#394—111no—
787#394—111no—
788#394—111no—
789#394—111no—
790#394—111no—
791#393—111no—
792#393—111no—
793#392—111no—
794#391—111no—
795#391—111no—
796#390—111no—
797#390—111no—
798#390—111no—
799#389—111no—
800#389—111no—
801#389—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388C2×D1111yescharacteristic
815#388C2×D1111yescharacteristic
816#388C2×D1111yescharacteristic
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387C2×D1111yescharacteristic, complemented
824#387C2×D1111yescharacteristic, complemented
825#387C2×D1111yescharacteristic, complemented
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#385—111no—
840#385—111no—
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385—111no—
850#383C2×D1111yescharacteristic, complemented
851#382—111no—
852#381—111no—
853#380—111no—
854#380—111no—
855#380—111no—
856#379—111no—
857#379—111no—
858C4×C4⋊C4—111no—
859C4×C4⋊C4—111no—
860C4×C4⋊C4—111no—
861C4×C4⋊C4—111no—
862C4×C4⋊C4—111no—
863C4×C4⋊C4C2×D1111yescharacteristic, complemented
864C4×C4⋊C4C2×D1111yescharacteristic, complemented
865C4×C4⋊C4C2×D1111yescharacteristic, complemented
866C4×C22⋊C4—111no—
867C4×C22⋊C4—111no—
868C4×C22⋊C4—111no—
869C4×C22⋊C4—111no—
870C4×C22⋊C4—111no—
871C4×C22⋊C4—111no—
872C4×C22⋊C4—111no—
873C4×C22⋊C4—111no—
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4C2×D1111yescharacteristic
886C4×C22⋊C4C2×D1111yescharacteristic
887C4×C22⋊C4C2×D1111yescharacteristic
888#376—111no—
889C2×#95—111no—
890C2×#95—111no—
891C43C2×D1111yescharacteristic, complemented
892C22×C11—22no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11C22×#4111yescharacteristic
900C22×C11C22×#4111yescharacteristic
901C22×C11C22×#4111yescharacteristic
902C22×C11C22×#4111yescharacteristic
903C22×C11C22×#4111yescharacteristic
904C22×C11C2×H(5,𝔽2)11yescharacteristic
905C22×C11C2×H(5,𝔽2)11yescharacteristic
906C2×D11—22no—
907C2×D11—22no—
908C2×D11—22no—
909C2×D11—22no—
910C2×D11—22no—
911C2×D11—22no—
912C2×D11—22no—
913C2×D11—22no—
914C2×D11—22no—
915C2×D11—22no—
916C2×D11—22no—
917C2×D11—22no—
918C2×D11—416no—
919C2×D11—41no—
920C2×D11—41no—
921C2×D11—41no—
922C2×D11—41no—
923C2×D11—41no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11—41no—
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11#52914yes—
935C4×C11—22no—
936C4×C11—22no—
937C4×C11—22no—
938C4×C11—22no—
939C4×C11—22no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946C4×C11—41no—
947C4×C11—41no—
948C4×C11#53814yes—
949Dic11—22no—
950Dic11—22no—
951Dic11—22no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11—41no—
961C25—111no—
962C22×Q8—111no—
963C22×D4—111no—
964C22×D4—111no—
965C22×D4—111no—
966C22×D4—111no—
967C22×D4—111no—
968C22×D4—111no—
969C22×D4—111no—
970C23×C4—111no—
971C23×C4—111no—
972C23×C4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—111no—
976C23×C4—111no—
977C23×C4—111no—
978C23×C4—111no—
979C23×C4—111no—
980C23×C4—111no—
981C23×C4—111no—
982C23×C4—111no—
983C23×C4—224no—
984C23×C4—442no—
985C23×C4—442no—
986C23×C4C22×D1111yescharacteristic
987#126—24no—
988#124—224no—
989#123—224no—
990C22⋊Q8—224no—
991#121—224no—
992#121—224no—
993#120—224no—
994#120—224no—
995C4×Q8—442no—
996C4×D4—224no—
997C4×D4—224no—
998C4×D4—224no—
999C4×D4—224no—
1000C4×D4—442no—
1001C4×D4—442no—
1002C4×D4—442no—
1003C4×D4—442no—
1004C4×D4—442no—
1005#117—442no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4C22×D1111yescharacteristic
1025C2×C4⋊C4C22×D1111yescharacteristic
1026C2×C4⋊C4C22×D1111yescharacteristic
1027C2×C4⋊C4C22×D1111yescharacteristic
1028C2×C4⋊C4C22×D1111yescharacteristic
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—224no—
1069C2×C22⋊C4—224no—
1070C2×C22⋊C4C22×D1111yescharacteristic
1071C2×C22⋊C4C22×D1111yescharacteristic
1072C2×C22⋊C4C22×D1111yescharacteristic
1073C2×C22⋊C4C22×D1111yescharacteristic
1074C2×C22⋊C4C22×D1111yescharacteristic
1075C2×C22⋊C4C22×D1111yescharacteristic
1076C2×C42—111no—
1077C2×C42—111no—
1078C2×C42—111no—
1079C2×C42—111no—
1080C2×C42—111no—
1081C2×C42—111no—
1082C2×C42—111no—
1083C2×C42—111no—
1084C2×C42—111no—
1085C2×C42—111no—
1086C2×C42—442no—
1087C2×C42—442no—
1088C2×C42—442no—
1089C2×C42C22×D1111yescharacteristic
1090C2×C42C22×D1111yescharacteristic
1091C2×C42C22×D1111yescharacteristic
1092C2×C42C22×D1111yescharacteristic
1093C2×C42C22×D1111yescharacteristic
1094C2×C42C22×D1111yescharacteristic
1095C2×C42C22×D1111yescharacteristic
1096C2×C42C22×D1111yescharacteristic
1097C2×C42C22×D1111yescharacteristic
1098C2×C42C22×D1111yescharacteristic
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95C22×D1111yescharacteristic
1132#95C22×D1111yescharacteristic
1133#95C22×D1111yescharacteristic
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143C2×C11—42no—
1144C2×C11C2×#52911yescharacteristic
1145C2×C11#344411yescharacteristic
1146C2×C11C2×#53811yescharacteristic
1147C2×C11#348111yescharacteristic
1148C2×C11#348111yescharacteristic
1149C2×C11#348111yescharacteristic
1150C2×C11#348111yescharacteristic
1151D11—24no—
1152D11—42no—
1153D11—42no—
1154D11—81no—
1155C24—111no—
1156C24—111no—
1157C24—111no—
1158C24—111no—
1159C24—222no—
1160C24—222no—
1161C24—222no—
1162C24—222no—
1163C24—222no—
1164C24—441no—
1165C24—441no—
1166C24C23×D1111yescharacteristic
1167C2×Q8—222no—
1168C2×Q8—222no—
1169C2×Q8—441no—
1170C2×D4—114no—
1171C2×D4—222no—
1172C2×D4—222no—
1173C2×D4—222no—
1174C2×D4—222no—
1175C2×D4—222no—
1176C2×D4—222no—
1177C2×D4—222no—
1178C2×D4—222no—
1179C2×D4—222no—
1180C2×D4—222no—
1181C2×D4—222no—
1182C2×D4—222no—
1183C2×D4—222no—
1184C2×D4—222no—
1185C2×D4—222no—
1186C2×D4—441no—
1187C2×D4—441no—
1188C2×D4—441no—
1189C2×D4—441no—
1190C2×D4—441no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—111no—
1195C22×C4—111no—
1196C22×C4—111no—
1197C22×C4—114no—
1198C22×C4—111no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—111no—
1202C22×C4—111no—
1203C22×C4—111no—
1204C22×C4—111no—
1205C22×C4—111no—
1206C22×C4—111no—
1207C22×C4—222no—
1208C22×C4—222no—
1209C22×C4—222no—
1210C22×C4—222no—
1211C22×C4—222no—
1212C22×C4—222no—
1213C22×C4—222no—
1214C22×C4—222no—
1215C22×C4—222no—
1216C22×C4—222no—
1217C22×C4—222no—
1218C22×C4—222no—
1219C22×C4—222no—
1220C22×C4—222no—
1221C22×C4—222no—
1222C22×C4—222no—
1223C22×C4—222no—
1224C22×C4—222no—
1225C22×C4—222no—
1226C22×C4—222no—
1227C22×C4—222no—
1228C22×C4—222no—
1229C22×C4—222no—
1230C22×C4—222no—
1231C22×C4—222no—
1232C22×C4—222no—
1233C22×C4—441no—
1234C22×C4—441no—
1235C22×C4—441no—
1236C22×C4—441no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4—441no—
1241C22×C4—441no—
1242C22×C4—441no—
1243C22×C4—4416no—
1244C22×C4—441no—
1245C22×C4—441no—
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C22×C4C23×D1111yescharacteristic
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C22×C4C23×D1111yescharacteristic
1258C22×C4C23×D1111yescharacteristic
1259C22×C4C23×D1111yescharacteristic
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—222no—
1267C4⋊C4—222no—
1268C4⋊C4—222no—
1269C4⋊C4—222no—
1270C4⋊C4—222no—
1271C4⋊C4—222no—
1272C4⋊C4—222no—
1273C4⋊C4—222no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—114no—
1290C22⋊C4—114no—
1291C22⋊C4—222no—
1292C22⋊C4—222no—
1293C22⋊C4—222no—
1294C22⋊C4—222no—
1295C22⋊C4—222no—
1296C22⋊C4—222no—
1297C22⋊C4—222no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—222no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
1306C22⋊C4—222no—
1307C22⋊C4—222no—
1308C22⋊C4—222no—
1309C22⋊C4—222no—
1310C22⋊C4—222no—
1311C22⋊C4—222no—
1312C22⋊C4—222no—
1313C22⋊C4—222no—
1314C22⋊C4—222no—
1315C22⋊C4—441no—
1316C22⋊C4—441no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C22⋊C4#433914yes—
1328C42—22no—
1329C42—22no—
1330C42—22no—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—222no—
1339C42—222no—
1340C42—222no—
1341C42—222no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42—441no—
1346C42—441no—
1347C42—441no—
1348C11#3495911yescharacteristic, complemented, Sylow
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—112no—
1356C23—112no—
1357C23—112no—
1358C23—112no—
1359C23—112no—
1360C23—228no—
1361C23—221no—
1362C23—221no—
1363C23—221no—
1364C23—221no—
1365C23—221no—
1366C23—221no—
1367C23—221no—
1368C23—221no—
1369C23—221no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—221no—
1375C23—221no—
1376C23—221no—
1377C23—221no—
1378C23—221no—
1379C23—221no—
1380C23—221no—
1381C23—221no—
1382C23—221no—
1383C23—221no—
1384C23—444no—
1385C23—444no—
1386C23—444no—
1387C23—444no—
1388C23—444no—
1389C23—444no—
1390C23C2×#433912yes—
1391C23C24×D1111yescharacteristic
1392Q8—444no—
1393D4—228no—
1394D4—444no—
1395D4—444no—
1396D4—444no—
1397D4—444no—
1398D4—444no—
1399D4—444no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—44no—
1435C2×C4—112no—
1436C2×C4—112no—
1437C2×C4—112no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—228no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—444no—
1473C2×C4—444no—
1474C2×C4—444no—
1475C2×C4—444no—
1476C2×C4—444no—
1477C2×C4—444no—
1478C2×C4—444no—
1479C2×C4—444no—
1480C2×C4—444no—
1481C2×C4—444no—
1482C2×C4—444no—
1483C2×C4—444no—
1484C2×C4C2×#433912yes—
1485C2×C4C2×#433912yes—
1486C2×C4#41×D1112yes—
1487C2×C4#41×D1112yes—
1488C2×C4#41×D1112yes—
1489C2×C4#41×D1112yes—
1490C2×C4#6704212yes—
1491C2×C4#6704212yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—114no—
1500C22—222no—
1501C22—222no—
1502C22—222no—
1503C22—222no—
1504C22—222no—
1505C22—222no—
1506C22—222no—
1507C22—222no—
1508C22—222no—
1509C22—222no—
1510C22—222no—
1511C22—222no—
1512C22—4416no—
1513C22—441no—
1514C22—441no—
1515C22—441no—
1516C22—441no—
1517C22—441no—
1518C22—441no—
1519C22—441no—
1520C22—441no—
1521C22—441no—
1522C22—441no—
1523C22—441no—
1524C22—441no—
1525C22—441no—
1526C22—441no—
1527C22—441no—
1528C22C22×#433911yescharacteristic
1529C22C2×#41×D1111yescharacteristic
1530C22C2×#41×D1111yescharacteristic
1531C22C2×#41×D1111yescharacteristic
1532C22C2×#41×D1111yescharacteristic
1533C22C2×#6704211yescharacteristic
1534C22C2×#6704211yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—222no—
1549C4—222no—
1550C4—222no—
1551C4—441no—
1552C4—441no—
1553C4—441no—
1554C4—441no—
1555C4—441no—
1556C4—441no—
1557C4—441no—
1558C4—441no—
1559C4—441no—
1560C4#1062323514yes—
1561C2—42no—
1562C2—224no—
1563C2—442no—
1564C2—442no—
1565C2—881no—
1566C2D11×#52911yescharacteristic
1567C2#1308190911yescharacteristic
1568C2C2×#1062323511yescharacteristic
1569C2#1308222211yescharacteristic
1570C2#1308222211yescharacteristic
1571C2#1308222611yescharacteristic
1572C2#1308222611yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC4×C11×#126C2
prime radical#13072157C2
hypercenterC4×#126D11
hypocenterC11#34959
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#126

Complements

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

NH ≅ G/Ntype
1. #13074163C2semidirect
2. #13074141C2semidirect
3. #13074063C2semidirect
4. #13074041C2semidirect
5. #13073948C2semidirect
6. #13073926C2semidirect
7. #13073743C2semidirect
8. #13073721C2semidirect
9. #13073183C2semidirect
10. #13073114C2semidirect
11. #13072858C2semidirect
12. #13072746C2semidirect
13. #13072439C2semidirect
14. #13072371C2semidirect
16. #13072085C2semidirect
17. #13071917C2semidirect
18. #13071903C2semidirect
19. #13071877C2semidirect
20. #13071856C2semidirect
21. C4×#66928C2semidirect
22. C4×#66949C2semidirect
23. C4×#66947C2semidirect
24. C4×#66948C2semidirect
25. C4×#66937C2semidirect
26. C4×#66935C2semidirect
27. C4×#66935C2semidirect
28. #13071057C2semidirect
29. C42×D44C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C4×C11×#126C2semidirect
51. C2×C4×D44C22semidirect
52. C2×#66925C22semidirect
55. C2×C42×D11C22semidirect
56. C2×C4×Dic22C22semidirect
60. C11×#387C22semidirect
61. C11×#387C22semidirect
62. C11×#387C22semidirect
63. C11×#383C22semidirect
64. C4×C11×C4⋊C4C22semidirect
65. C4×C11×C4⋊C4C22semidirect
66. C4×C11×C4⋊C4C22semidirect
70. C43×C11C22semidirect
74. #10622607C22semidirect
77. #10622604C22semidirect
79. #10622603C22semidirect
80. #10622603C22semidirect
84. #10622602C22semidirect
85. #10622601C22semidirect
87. #10622599C22semidirect
88. #10622598C22semidirect
89. #10622595C22semidirect
90. #10622594C22semidirect
91. #10622594C22semidirect
92. #10622585C22semidirect
114. #10622553C22semidirect
115. #10622553C22semidirect
125. C4×(C2×D11)⋊C4C22semidirect
126. C4×(C2×D11)⋊C4C22semidirect
127. C4×(C2×D11)⋊C4C22semidirect
128. C4×(C2×D11)⋊C4C22semidirect
129. C4×(C2×D11)⋊C4C22semidirect
130. C4×(C2×D11)⋊C4C22semidirect
131. #10622549C22semidirect
132. C4×C4⋊Dic11C22semidirect
133. C4×C4⋊Dic11C22semidirect
134. C4×C4⋊Dic11C22semidirect
135. #10622545C22semidirect
136. C4×Dic11⋊C4C22semidirect
137. C4×Dic11⋊C4C22semidirect
138. #10622542C22semidirect
140. #10622288C22semidirect
141. #10622288C22semidirect
143. #10622287C22semidirect
144. #10622287C22semidirect
145. #10622286C22semidirect
148. #10622283C22semidirect
149. #10622283C22semidirect
151. #10622282C22semidirect
158. #10622280C22semidirect
170. #10622278C22semidirect
171. #10622277C22semidirect
174. C11⋊#401C22semidirect
175. #10622274C22semidirect
176. #10622273C22semidirect
177. #10622273C22semidirect
178. #10622271C22semidirect
179. #10622271C22semidirect
180. #10622270C22semidirect
181. #10622268C22semidirect
182. #10622267C22semidirect
183. #10622267C22semidirect
184. #10622265C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
583. C4×#126D11semidirect
823. #387C2×D11semidirect
824. #387C2×D11semidirect
825. #387C2×D11semidirect
850. #383C2×D11semidirect
863. C4×C4⋊C4C2×D11semidirect
864. C4×C4⋊C4C2×D11semidirect
865. C4×C4⋊C4C2×D11semidirect
891. C43C2×D11semidirect
1348. C11#34959semidirect

Maximal subgroups

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

subgroupindex
#130741632
#130741412
#130740632
#130740412
#130739482
#130739262
#130737432
#130737212
#130731832
#130731142
#130728582
#130727462
#130724392
#130723712
#130721572
#130720852
#130719172
#130719032
#130718772
#130718562
C4×#669282
C4×#669492
C4×#669472
C4×#669482
C4×#669372
C4×#669352
#130710572
C42×D442
C4×C22⋊C4×D112
C4×C11×#1262
#3495911