Finite Group Databasebeta

← #14926517

Subgroups — #14926517

Order 2816.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1562 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076930C211yesmaximal, characteristic, complemented
2#13076930C211yesmaximal, characteristic, complemented
3#13076930C211yesmaximal, characteristic, complemented
4#13076928C211yesmaximal, characteristic, complemented
5#13074573C211yesmaximal, characteristic, complemented
6#13074568C211yesmaximal, characteristic, complemented
7#13074568C211yesmaximal, characteristic, complemented
8#13074568C211yesmaximal, characteristic, complemented
9#13073181C211yesmaximal, characteristic, complemented
10#13073179C211yesmaximal, characteristic, complemented
11#13073175C211yesmaximal, characteristic, complemented
12#13073169C211yesmaximal, characteristic, complemented
13#13073007C211yesmaximal, characteristic, complemented
14#13073003C211yesmaximal, characteristic, complemented
15#13072999C211yesmaximal, characteristic, complemented
16#13072995C211yesmaximal, characteristic, complemented
17#13072883C211yesmaximal, characteristic, complemented
18#13072878C211yesmaximal, characteristic, complemented
19#13072873C211yesmaximal, characteristic, complemented
20#13072872C211yesmaximal, characteristic, complemented
21#13072861C211yesmaximal, characteristic, complemented
22#13072859C211yesmaximal, characteristic, complemented
23#13072856C211yesmaximal, characteristic, complemented
24#13071229C211yesmaximal, characteristic, complemented
25#13071227C211yesmaximal, characteristic, complemented
26#13071192C211yesmaximal, characteristic
27#13071192C211yesmaximal, characteristic
28C2×#10622569C211yesmaximal, characteristic
29D11×#385C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2480C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic, complemented
35C22×C11×C22⋊C4C2211yescharacteristic
36C22×C22⋊Dic11C2211yescharacteristic
37C22×(C2×D11)⋊C4C2211yescharacteristic
38C2×C4⋊C4×D11C2211yescharacteristic, complemented
39C2×C4⋊C4×D11C2211yescharacteristic, complemented
40C2×C22⋊C4×D11C2211yescharacteristic
41C2×C22⋊C4×D11C2211yescharacteristic
42C2×C22⋊C4×D11C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×#66932C2211yescharacteristic, complemented
45C2×#66932C2211yescharacteristic, complemented
46C2×#66932C2211yescharacteristic, complemented
47C2×C42×D11C2211yescharacteristic, complemented
48C2×C42×D11C2211yescharacteristic, complemented
49C11×#397C2211yescharacteristic, complemented
50C11×#397C2211yescharacteristic, complemented
51C11×#397C2211yescharacteristic, complemented
52C11×#396C2211yescharacteristic, complemented
53C11×#388C2211yescharacteristic, complemented
54C11×#388C2211yescharacteristic, complemented
55C11×#388C2211yescharacteristic, complemented
56C11×#385C2211yescharacteristic
57C11×#385C2211yescharacteristic
58C11×#380C2211yescharacteristic
59C11×#379C2211yescharacteristic
60C11×#379C2211yescharacteristic
61C4×C11×C22⋊C4C2211yescharacteristic
62#10622860C2211yescharacteristic
63#10622860C2211yescharacteristic
64#10622825C2211yescharacteristic
65#10622823C2211yescharacteristic
66#10622823C2211yescharacteristic
67C4×C22⋊Dic11C2211yescharacteristic
68C2×C11⋊#95C2211yescharacteristic
69C2×C11⋊#95C2211yescharacteristic
70#10622602C2211yescharacteristic, complemented
71#10622602C2211yescharacteristic, complemented
72#10622602C2211yescharacteristic, complemented
73#10622602C2211yescharacteristic, complemented
74#10622602C2211yescharacteristic, complemented
75#10622602C2211yescharacteristic, complemented
76#10622602C2211yescharacteristic, complemented
77#10622602C2211yescharacteristic, complemented
78#10622600C2211yescharacteristic, complemented
79#10622600C2211yescharacteristic, complemented
80#10622599C2211yescharacteristic, complemented
81#10622599C2211yescharacteristic, complemented
82#10622599C2211yescharacteristic, complemented
83#10622595C2211yescharacteristic, complemented
84#10622595C2211yescharacteristic, complemented
85#10622595C2211yescharacteristic, complemented
86#10622594C2211yescharacteristic, complemented
87#10622594C2211yescharacteristic, complemented
88#10622594C2211yescharacteristic, complemented
89#10622591C2211yescharacteristic, complemented
90#10622591C2211yescharacteristic, complemented
91#10622591C2211yescharacteristic, complemented
92#10622569C2211yescharacteristic
93#10622569C2211yescharacteristic
94#10622569C2211yescharacteristic
95#10622569C2211yescharacteristic
96#10622569C2211yescharacteristic
97#10622569C2211yescharacteristic
98#10622569C2211yescharacteristic
99#10622569C2211yescharacteristic
100#10622569C2211yescharacteristic
101#10622569C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622566C2211yescharacteristic, complemented
117#10622566C2211yescharacteristic, complemented
118#10622566C2211yescharacteristic, complemented
119#10622565C2211yescharacteristic, complemented
120#10622565C2211yescharacteristic, complemented
121#10622565C2211yescharacteristic, complemented
122#10622565C2211yescharacteristic, complemented
123#10622565C2211yescharacteristic, complemented
124#10622565C2211yescharacteristic, complemented
125#10622564C2211yescharacteristic, complemented
126#10622564C2211yescharacteristic, complemented
127#10622564C2211yescharacteristic, complemented
128#10622563C2211yescharacteristic
129#10622563C2211yescharacteristic
130#10622561C2211yescharacteristic, complemented
131#10622561C2211yescharacteristic, complemented
132#10622561C2211yescharacteristic, complemented
133#10622559C2211yescharacteristic
134#10622559C2211yescharacteristic
135#10622558C2211yescharacteristic, complemented
136#10622558C2211yescharacteristic, complemented
137#10622558C2211yescharacteristic, complemented
138#10622557C2211yescharacteristic, complemented
139#10622557C2211yescharacteristic, complemented
140#10622557C2211yescharacteristic, complemented
141#10622556C2211yescharacteristic
142#10622556C2211yescharacteristic
143#10622556C2211yescharacteristic
144#10622556C2211yescharacteristic
145#10622555C2211yescharacteristic
146#10622555C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
148C22⋊C4×Dic11C2211yescharacteristic
149C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
150C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
151#10622550C2211yescharacteristic, complemented
152#10622546C2211yescharacteristic, complemented
153#10622546C2211yescharacteristic, complemented
154#10622546C2211yescharacteristic, complemented
155#10622281C2211yescharacteristic, complemented
156#10622281C2211yescharacteristic, complemented
157#10622281C2211yescharacteristic, complemented
158#10622281C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic, complemented
160#10622281C2211yescharacteristic, complemented
161#10622281C2211yescharacteristic, complemented
162#10622281C2211yescharacteristic, complemented
163#10622280C2211yescharacteristic, complemented
164#10622280C2211yescharacteristic, complemented
165#10622279C2211yescharacteristic, complemented
166#10622279C2211yescharacteristic, complemented
167D11×#95C2211yescharacteristic, complemented
168D11×#95C2211yescharacteristic, complemented
169D11×#95C2211yescharacteristic, complemented
170D11×#95C2211yescharacteristic, complemented
171C11⋊#401C2211yescharacteristic, complemented
172C11⋊#401C2211yescharacteristic, complemented
173C11⋊#401C2211yescharacteristic, complemented
174C11⋊#401C2211yescharacteristic, complemented
175#10622273C2211yescharacteristic, complemented
176#10622273C2211yescharacteristic, complemented
177#10622273C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622271C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622264C2211yescharacteristic, complemented
185#10622264C2211yescharacteristic, complemented
186#10622264C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11—24no—
192C22×C22⋊D11—24no—
193C22×C22⋊D11—24no—
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C22×C4×D11—24no—
202C22×C4×D11—42no—
203C22×C4×D11—42no—
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×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C11×#126—42no—
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4—42no—
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C22⋊Dic11—42no—
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×(C2×D11)⋊C4—24no—
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×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C4⋊C4×D11—42no—
297C4⋊C4×D11—42no—
298C22⋊C4×D11—24no—
299C22⋊C4×D11—24no—
300C22⋊C4×D11—24no—
301C22⋊C4×D11—24no—
302#66932—42no—
303#66932—42no—
304#66932—42no—
305C42×D11—42no—
306C42×D11—42no—
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
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#34995—111nomaximal, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—22no—
367C24×C11—41no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11—41no—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C23×D11—41no—
375C23×D11—41no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11#4114yes—
379C23×D11#4114yes—
380C23×D11#4114yes—
381C23×D11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C22×C4×C11—22no—
384C22×C4×C11—22no—
385C22×C4×C11—22no—
386C22×C4×C11—41no—
387C22×C4×C11—41no—
388C22×C4×C11—41no—
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
401C2×C22⋊D11—22no—
402C2×C22⋊D11—22no—
403C2×C22⋊D11—22no—
404C2×C22⋊D11—22no—
405C2×C22⋊D11—22no—
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11—416no—
414C22×Dic11—22no—
415C22×Dic11—22no—
416C22×Dic11—22no—
417C22×Dic11—22no—
418C22×Dic11—22no—
419C22×Dic11—22no—
420C22×Dic11—41no—
421C22×Dic11—41no—
422C22×Dic11—41no—
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
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—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×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—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—416no—
474C11×C4⋊C4—22no—
475C11×C4⋊C4—41no—
476C11×C4⋊C4—41no—
477C11×C4⋊C4—41no—
478C11×C4⋊C4—41no—
479C11×C4⋊C4—41no—
480C11×C22⋊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—41no—
487C11×C22⋊C4—41no—
488C11×C22⋊C4—41no—
489C11×C22⋊C4—41no—
490C11×C22⋊C4—41no—
491C11×C22⋊C4—41no—
492C11×C22⋊C4—41no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4—41no—
496C42×C11—22no—
497C42×C11—41no—
498C22⋊Dic11—22no—
499C22⋊Dic11—22no—
500C22⋊Dic11—22no—
501C22⋊Dic11—22no—
502C22⋊Dic11—22no—
503C22⋊Dic11—22no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
508C22⋊Dic11—41no—
509C22⋊Dic11—41no—
510C22⋊Dic11—41no—
511C22⋊Dic11—41no—
512C22⋊Dic11—41no—
513C22⋊Dic11—41no—
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—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526C4⋊Dic11—22no—
527C4⋊Dic11—41no—
528C4⋊Dic11—41no—
529C4⋊Dic11—41no—
530C4⋊Dic11—41no—
531C4⋊Dic11—41no—
532Dic11⋊C4—22no—
533Dic11⋊C4—22no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544C4×Dic11—22no—
545C4×Dic11—22no—
546C4×Dic11—22no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549C4×Dic11—41no—
550#2852—111no—
551#2852—111no—
552#2852—111no—
553#2852—111no—
554#2643—111no—
555#2643—111no—
556#2643—111no—
557#2643—111no—
558#2510—111no—
559#2510—111no—
560#2510—111no—
561#2510—111no—
562#2493—111no—
563#2493—111no—
564#2493—111no—
565#2493—111no—
566#2481—111no—
567#2481—111no—
568#2481—111no—
569#2481—111no—
570#2480—111no—
571#2480—111no—
572#2480—111no—
573#2480D1111yescharacteristic, complemented
574#2315—111no—
575#2315—111no—
576#2308—111no—
577#2308—111no—
578C2×#386—111no—
579C2×#385—111no—
580C2×C4×C22⋊C4—111no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—44no—
600C23×C11—44no—
601C23×C11—44no—
602C23×C11—82no—
603C23×C11—82no—
604C23×C11—82no—
605C23×C11—82no—
606C23×C11C2×#4112yes—
607C23×C11C2×#4112yes—
608C23×C11C2×#4112yes—
609C23×C11C2511yescharacteristic
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—44no—
619C22×D11—44no—
620C22×D11—44no—
621C22×D11—44no—
622C22×D11—44no—
623C22×D11—44no—
624C22×D11#126116yescomplemented
625C22×D11C2×#4112yes—
626C22×D11C2×#4112yes—
627C22×D11C2×#4112yes—
628C22×D11C2×#4112yes—
629C22×D11C2×#4112yes—
630C22×D11C2×#4112yes—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—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—44no—
667C2×C4×C11—82no—
668C2×C4×C11H(5,𝔽2)12yes—
669C22⋊D11—44no—
670C22⋊D11—44no—
671C22⋊D11—44no—
672C22⋊D11—44no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—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—44no—
715C2×Dic11—44no—
716C2×Dic11—82no—
717C2×Dic11H(5,𝔽2)12yes—
718C4×D11—28no—
719C4×D11—44no—
720C4×D11—44no—
721C4×D11—44no—
722C4×D11—44no—
723C4×D11—44no—
724C4×D11—44no—
725C4×D11—44no—
726C4×D11—44no—
727C4×D11—44no—
728C4×D11—82no—
729C4×D11—82no—
730C23×D4—111no—
731C24×C4—111no—
732C2×#126—111no—
733C2×#126—111no—
734C2×#126—111no—
735C2×#126C2×D1111yescharacteristic, complemented
736C22×C4⋊C4—111no—
737C22×C4⋊C4—111no—
738C22×C22⋊C4—111no—
739C22×C22⋊C4—111no—
740C22×C22⋊C4—111no—
741C22×C22⋊C4—111no—
742C22×C22⋊C4—111no—
743C22×C22⋊C4—111no—
744C22×C22⋊C4C2×D1111yescharacteristic
745C22×C42—111no—
746C22×C42—111no—
747#401—111no—
748#401—111no—
749#401—111no—
750#401—111no—
751#400—111no—
752#400—111no—
753#400—111no—
754#400—111no—
755#400—111no—
756#400—111no—
757#400—111no—
758#400—111no—
759#400—111no—
760#400—111no—
761#400—111no—
762#400—111no—
763#397—111no—
764#397—111no—
765#397—111no—
766#397—111no—
767#397—111no—
768#397—111no—
769#397—111no—
770#397—111no—
771#397—111no—
772#397C2×D1111yescharacteristic, complemented
773#397C2×D1111yescharacteristic, complemented
774#397C2×D1111yescharacteristic, complemented
775#396—111no—
776#396—111no—
777#396—111no—
778#396C2×D1111yescharacteristic, complemented
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388C2×D1111yescharacteristic, complemented
789#388C2×D1111yescharacteristic, complemented
790#388C2×D1111yescharacteristic, complemented
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#386—111no—
804#386—111no—
805#386—111no—
806#386—111no—
807#386—111no—
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—111no—
813#386—111no—
814#386—111no—
815#386—111no—
816#386—111no—
817#386—111no—
818#386—111no—
819#386—111no—
820#386—111no—
821#386—111no—
822#386—111no—
823#386—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385—111no—
831#385—111no—
832#385—111no—
833#385—111no—
834#385—111no—
835#385—111no—
836#385—111no—
837#385—111no—
838#385—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#385C2×D1111yescharacteristic
850#385C2×D1111yescharacteristic
851#383—111no—
852#383—111no—
853#383—111no—
854#383—111no—
855#381—111no—
856#381—111no—
857#381—111no—
858#381—111no—
859#380—111no—
860#380—111no—
861#380—111no—
862#380—111no—
863#380—111no—
864#380—111no—
865#380—111no—
866#380C2×D1111yescharacteristic
867#379—111no—
868#379—111no—
869#379C2×D1111yescharacteristic
870#379C2×D1111yescharacteristic
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⋊C4C2×D1111yescharacteristic
879C2×#95—111no—
880C2×#95—111no—
881C2×#95—111no—
882C2×#95—111no—
883C2×#95—111no—
884C2×#95—111no—
885C22×C11—22no—
886C22×C11—22no—
887C22×C11—22no—
888C22×C11—22no—
889C22×C11—22no—
890C22×C11—22no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—88no—
906C22×C11C2×#12614yes—
907C22×C11C22×#4111yescharacteristic
908C22×C11C22×#4111yescharacteristic
909C22×C11C22×#4111yescharacteristic
910C22×C11C2×H(5,𝔽2)11yescharacteristic
911C22×C11C2×H(5,𝔽2)11yescharacteristic
912C22×C11#58511yescharacteristic
913C22×C11#58511yescharacteristic
914C2×D11—22no—
915C2×D11—22no—
916C2×D11—22no—
917C2×D11—22no—
918C2×D11—22no—
919C2×D11—22no—
920C2×D11—22no—
921C2×D11—22no—
922C2×D11—22no—
923C2×D11—22no—
924C2×D11—22no—
925C2×D11—22no—
926C2×D11—416no—
927C2×D11C2×#12614yes—
928C2×D11C2×#12614yes—
929C4×C11—22no—
930C4×C11—41no—
931C4×C11—41no—
932C4×C11—41no—
933C4×C11—41no—
934C4×C11—41no—
935C4×C11—41no—
936C4×C11—41no—
937C4×C11—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11—41no—
941Dic11—22no—
942Dic11—41no—
943Dic11—41no—
944Dic11—41no—
945Dic11—41no—
946Dic11—41no—
947Dic11—41no—
948Dic11—41no—
949Dic11—41no—
950Dic11—41no—
951Dic11—41no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955C25—111no—
956C25C22×D1111yescharacteristic
957C22×D4—111no—
958C22×D4—111no—
959C22×D4—111no—
960C22×D4—111no—
961C22×D4—224no—
962C22×D4—224no—
963C22×D4—224no—
964C23×C4—111no—
965C23×C4—111no—
966C23×C4—111no—
967C23×C4—111no—
968C23×C4—111no—
969C23×C4—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—224no—
980C23×C4—442no—
981C23×C4—442no—
982C23×C4C22×D1111yescharacteristic
983C23×C4C22×D1111yescharacteristic
984#126—42no—
985#126—442no—
986#126—442no—
987#126—442no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—442no—
1007C2×C4⋊C4—442no—
1008C2×C4⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C4⋊C4C22×D1111yescharacteristic
1011C2×C4⋊C4C22×D1111yescharacteristic
1012C2×C4⋊C4C22×D1111yescharacteristic
1013C2×C4⋊C4C22×D1111yescharacteristic
1014C2×C22⋊C4—42no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—224no—
1044C2×C22⋊C4—224no—
1045C2×C22⋊C4—224no—
1046C2×C22⋊C4—224no—
1047C2×C22⋊C4—224no—
1048C2×C22⋊C4—442no—
1049C2×C22⋊C4C22×D1111yescharacteristic
1050C2×C22⋊C4C22×D1111yescharacteristic
1051C2×C22⋊C4C22×D1111yescharacteristic
1052C2×C22⋊C4C22×D1111yescharacteristic
1053C2×C22⋊C4C22×D1111yescharacteristic
1054C2×C22⋊C4C22×D1111yescharacteristic
1055C2×C22⋊C4C22×D1111yescharacteristic
1056C2×C22⋊C4C22×D1111yescharacteristic
1057C2×C22⋊C4C22×D1111yescharacteristic
1058C2×C22⋊C4C22×D1111yescharacteristic
1059C2×C22⋊C4C22×D1111yescharacteristic
1060C2×C22⋊C4C22×D1111yescharacteristic
1061C2×C22⋊C4C22×D1111yescharacteristic
1062C2×C22⋊C4C22×D1111yescharacteristic
1063C2×C22⋊C4C22×D1111yescharacteristic
1064C2×C22⋊C4C22×D1111yescharacteristic
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42—111no—
1068C2×C42—111no—
1069C2×C42—111no—
1070C2×C42—111no—
1071C2×C42—442no—
1072C2×C42—442no—
1073C2×C42C22×D1111yescharacteristic
1074C2×C42C22×D1111yescharacteristic
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#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#95C22×D1111yescharacteristic
1124#95C22×D1111yescharacteristic
1125#95C22×D1111yescharacteristic
1126#95C22×D1111yescharacteristic
1127#95C22×D1111yescharacteristic
1128#95C22×D1111yescharacteristic
1129#95C22×D1111yescharacteristic
1130#95C22×D1111yescharacteristic
1131C2×C11—24no—
1132C2×C11—81no—
1133C2×C11—81no—
1134C2×C11C22×#12611yescharacteristic
1135C2×C11#345911yescharacteristic
1136C2×C11#345911yescharacteristic
1137C2×C11#349011yescharacteristic
1138C2×C11#349111yescharacteristic
1139C2×C11#350511yescharacteristic
1140C2×C11#350511yescharacteristic
1141D11—24no—
1142D11—24no—
1143C24—22no—
1144C24—22no—
1145C24—22no—
1146C24—41no—
1147C24—41no—
1148C24—41no—
1149C24—41no—
1150C24—111no—
1151C24—111no—
1152C24—114no—
1153C24—114no—
1154C24—114no—
1155C24—441no—
1156C24—441no—
1157C24—441no—
1158C24—441no—
1159C24C23×D1111yescharacteristic
1160C24C23×D1111yescharacteristic
1161C24C23×D1111yescharacteristic
1162C2×D4—222no—
1163C2×D4—222no—
1164C2×D4—222no—
1165C2×D4—222no—
1166C2×D4—222no—
1167C2×D4—222no—
1168C2×D4—222no—
1169C2×D4—222no—
1170C2×D4—222no—
1171C2×D4—222no—
1172C2×D4—222no—
1173C2×D4—222no—
1174C2×D4—4416no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—111no—
1182C22×C4—111no—
1183C22×C4—111no—
1184C22×C4—111no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—111no—
1189C22×C4—111no—
1190C22×C4—111no—
1191C22×C4—111no—
1192C22×C4—111no—
1193C22×C4—111no—
1194C22×C4—111no—
1195C22×C4—222no—
1196C22×C4—222no—
1197C22×C4—222no—
1198C22×C4—222no—
1199C22×C4—222no—
1200C22×C4—222no—
1201C22×C4—222no—
1202C22×C4—222no—
1203C22×C4—222no—
1204C22×C4—222no—
1205C22×C4—222no—
1206C22×C4—222no—
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—441no—
1218C22×C4—441no—
1219C22×C4—441no—
1220C22×C4—441no—
1221C22×C4—441no—
1222C22×C4—441no—
1223C22×C4—441no—
1224C22×C4—441no—
1225C22×C4—441no—
1226C22×C4—441no—
1227C22×C4—441no—
1228C22×C4—441no—
1229C22×C4—441no—
1230C22×C4—441no—
1231C22×C4—441no—
1232C22×C4—441no—
1233C22×C4—441no—
1234C22×C4—441no—
1235C22×C4—441no—
1236C22×C4—441no—
1237C22×C4—4416no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4—441no—
1241C22×C4C23×D1111yescharacteristic
1242C22×C4C23×D1111yescharacteristic
1243C22×C4C23×D1111yescharacteristic
1244C22×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—222no—
1260C4⋊C4—222no—
1261C4⋊C4—222no—
1262C4⋊C4—441no—
1263C4⋊C4—441no—
1264C4⋊C4—441no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C4⋊C4—441no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
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—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C22⋊C4—441no—
1315C22⋊C4—441no—
1316C22⋊C4—441no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C42—22no—
1322C42—41no—
1323C42—222no—
1324C42—222no—
1325C42—222no—
1326C42—441no—
1327C42—441no—
1328C42—441no—
1329C11#3499511yescharacteristic, complemented, Sylow
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—82no—
1352C23—82no—
1353C23—82no—
1354C23—82no—
1355C23—112no—
1356C23—112no—
1357C23—112no—
1358C23—112no—
1359C23—112no—
1360C23—112no—
1361C23—1116no—
1362C23—221no—
1363C23—221no—
1364C23—221no—
1365C23—221no—
1366C23—221no—
1367C23—221no—
1368C23—221no—
1369C23—221no—
1370C23—444no—
1371C23—444no—
1372C23—444no—
1373C23—444no—
1374C23—444no—
1375C23—444no—
1376C23#41×D1112yes—
1377C23#41×D1112yes—
1378C23#41×D1112yes—
1379C23C24×D1111yescharacteristic
1380D4—444no—
1381D4—444no—
1382D4—444no—
1383D4—444no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
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—44no—
1420C2×C4—82no—
1421C2×C4—112no—
1422C2×C4—228no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
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—444no—
1465C2×C4—444no—
1466C2×C4—444no—
1467C2×C4—444no—
1468C2×C4—444no—
1469C2×C4—444no—
1470C2×C4—444no—
1471C2×C4—444no—
1472C2×C4—444no—
1473C2×C4—444no—
1474C2×C4—444no—
1475C2×C4—882no—
1476C2×C4—882no—
1477C2×C4—882no—
1478C2×C4#6703712yes—
1479C22—22no—
1480C22—22no—
1481C22—22no—
1482C22—22no—
1483C22—22no—
1484C22—22no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—88no—
1500C22—114no—
1501C22—114no—
1502C22—222no—
1503C22—222no—
1504C22—222no—
1505C22—222no—
1506C22—222no—
1507C22—222no—
1508C22—222no—
1509C22—222no—
1510C22—222no—
1511C22—222no—
1512C22—222no—
1513C22—222no—
1514C22—4416no—
1515C22D11×#12614yes—
1516C22C2×#6703711yescharacteristic
1517C22C2×#41×D1111yescharacteristic
1518C22C2×#41×D1111yescharacteristic
1519C22C2×#41×D1111yescharacteristic
1520C22#1062345311yescharacteristic
1521C22D11×H(5,𝔽2)11yescharacteristic
1522C22#1062345511yescharacteristic
1523C4—22no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—222no—
1536C4—441no—
1537C4—441no—
1538C4—441no—
1539C4—441no—
1540C4—441no—
1541C4—441no—
1542C4—441no—
1543C4—441no—
1544C4—441no—
1545C4—441no—
1546C4—441no—
1547C4—441no—
1548C4—441no—
1549C2—24no—
1550C2—81no—
1551C2—81no—
1552C2—224no—
1553C2—224no—
1554C2C2×D11×#12611yescharacteristic
1555C2#1308202311yescharacteristic
1556C2#1308202711yescharacteristic
1557C2#1308229811yescharacteristic
1558C2#1308230711yescharacteristic
1559C2#1308244311yescharacteristic
1560C2#1308244711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2480C2
prime radicalC23×C22⋊D11C22
hypercenter#2480D11
hypocenterC11#34995
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. #13076930C2semidirect
2. #13076930C2semidirect
3. #13076930C2semidirect
4. #13076928C2semidirect
5. #13074573C2semidirect
6. #13074568C2semidirect
7. #13074568C2semidirect
8. #13074568C2semidirect
9. #13073181C2semidirect
10. #13073179C2semidirect
11. #13073175C2semidirect
12. #13073169C2semidirect
13. #13073007C2semidirect
14. #13073003C2semidirect
15. #13072999C2semidirect
16. #13072995C2semidirect
17. #13072883C2semidirect
18. #13072878C2semidirect
19. #13072873C2semidirect
20. #13072872C2semidirect
21. #13072861C2semidirect
22. #13072859C2semidirect
23. #13072856C2semidirect
24. #13071229C2semidirect
25. #13071227C2semidirect
29. D11×#385C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2480C2semidirect
34. C2×C11×#126C22semidirect
38. C2×C4⋊C4×D11C22semidirect
39. C2×C4⋊C4×D11C22semidirect
44. C2×#66932C22semidirect
45. C2×#66932C22semidirect
46. C2×#66932C22semidirect
47. C2×C42×D11C22semidirect
48. C2×C42×D11C22semidirect
49. C11×#397C22semidirect
50. C11×#397C22semidirect
51. C11×#397C22semidirect
52. C11×#396C22semidirect
53. C11×#388C22semidirect
54. C11×#388C22semidirect
55. C11×#388C22semidirect
70. #10622602C22semidirect
71. #10622602C22semidirect
72. #10622602C22semidirect
73. #10622602C22semidirect
74. #10622602C22semidirect
75. #10622602C22semidirect
76. #10622602C22semidirect
77. #10622602C22semidirect
78. #10622600C22semidirect
79. #10622600C22semidirect
80. #10622599C22semidirect
81. #10622599C22semidirect
82. #10622599C22semidirect
83. #10622595C22semidirect
84. #10622595C22semidirect
85. #10622595C22semidirect
86. #10622594C22semidirect
87. #10622594C22semidirect
88. #10622594C22semidirect
89. #10622591C22semidirect
90. #10622591C22semidirect
91. #10622591C22semidirect
116. #10622566C22semidirect
117. #10622566C22semidirect
118. #10622566C22semidirect
119. #10622565C22semidirect
120. #10622565C22semidirect
121. #10622565C22semidirect
122. #10622565C22semidirect
123. #10622565C22semidirect
124. #10622565C22semidirect
125. #10622564C22semidirect
126. #10622564C22semidirect
127. #10622564C22semidirect
130. #10622561C22semidirect
131. #10622561C22semidirect
132. #10622561C22semidirect
135. #10622558C22semidirect
136. #10622558C22semidirect
137. #10622558C22semidirect
138. #10622557C22semidirect
139. #10622557C22semidirect
140. #10622557C22semidirect
149. C4×(C2×D11)⋊C4C22semidirect
150. C4×(C2×D11)⋊C4C22semidirect
151. #10622550C22semidirect
152. #10622546C22semidirect
153. #10622546C22semidirect
154. #10622546C22semidirect
155. #10622281C22semidirect
156. #10622281C22semidirect
157. #10622281C22semidirect
158. #10622281C22semidirect
159. #10622281C22semidirect
160. #10622281C22semidirect
161. #10622281C22semidirect
162. #10622281C22semidirect
163. #10622280C22semidirect
164. #10622280C22semidirect
165. #10622279C22semidirect
166. #10622279C22semidirect
167. D11×#95C22semidirect
168. D11×#95C22semidirect
169. D11×#95C22semidirect
170. D11×#95C22semidirect
171. C11⋊#401C22semidirect
172. C11⋊#401C22semidirect
173. C11⋊#401C22semidirect
174. C11⋊#401C22semidirect
175. #10622273C22semidirect
176. #10622273C22semidirect
177. #10622273C22semidirect
178. #10622271C22semidirect
179. #10622271C22semidirect
180. #10622271C22semidirect
181. #10622267C22semidirect
182. #10622267C22semidirect
183. #10622267C22semidirect
184. #10622264C22semidirect
185. #10622264C22semidirect
186. #10622264C22semidirect
573. #2480D11semidirect
624. C22×D11#126semidirect
735. C2×#126C2×D11semidirect
772. #397C2×D11semidirect
773. #397C2×D11semidirect
774. #397C2×D11semidirect
778. #396C2×D11semidirect
788. #388C2×D11semidirect
789. #388C2×D11semidirect
790. #388C2×D11semidirect
1329. C11#34995semidirect

Maximal subgroups

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

subgroupindex
#130769302
#130769282
#130745732
#130745682
#130731812
#130731792
#130731752
#130731692
#130730072
#130730032
#130729992
#130729952
#130728832
#130728782
#130728732
#130728722
#130728612
#130728592
#130728562
#130712292
#130712272
#130711922
C2×#106225692
D11×#3852
C4×C22⋊C4×D112
C11×#24802
#3499511