Finite Group Databasebeta

← #14927285

Subgroups — #14927285

Order 2816.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1476 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076997C211yesmaximal, characteristic, complemented
2#13076985C211yesmaximal, characteristic, complemented
3#13076966C211yesmaximal, characteristic, complemented
4#13076945C211yesmaximal, characteristic, complemented
5#13074617C211yesmaximal, characteristic, complemented
6#13074615C211yesmaximal, characteristic, complemented
7#13074457C211yesmaximal, characteristic, complemented
8#13074455C211yesmaximal, characteristic, complemented
9#13074044C211yesmaximal, characteristic, complemented
10#13074036C211yesmaximal, characteristic, complemented
11#13073955C211yesmaximal, characteristic, complemented
12#13073947C211yesmaximal, characteristic, complemented
13#13073280C211yesmaximal, characteristic, complemented
14#13073278C211yesmaximal, characteristic, complemented
15#13073199C211yesmaximal, characteristic, complemented
16#13072954C211yesmaximal, characteristic, complemented
17#13072673C211yesmaximal, characteristic, complemented
18#13072671C211yesmaximal, characteristic, complemented
19#13072389C211yesmaximal, characteristic, complemented
20#13072326C211yesmaximal, characteristic, complemented
21#13072242C211yesmaximal, characteristic, complemented
22#13072179C211yesmaximal, characteristic, complemented
23#13072042C211yesmaximal, characteristic, complemented
24#13071958C211yesmaximal, characteristic
25#13071406C211yesmaximal, characteristic, complemented
26#13071393C211yesmaximal, characteristic, complemented
27#13071391C211yesmaximal, characteristic, complemented
28C4×#66949C211yesmaximal, characteristic, complemented
29#13071102C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2335C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×#66992C2211yescharacteristic
35C2×#66982C2211yescharacteristic
36C2×C4×C22⋊D11C2211yescharacteristic
37C22×C4×Dic11C2211yescharacteristic
38C2×#66949C2211yescharacteristic
39C2×#66942C2211yescharacteristic
40C2×#66941C2211yescharacteristic
41C2×#66938C2211yescharacteristic
42C2×(C22⋊D11)⋊C4C2211yescharacteristic
43C2×(C22⋊D11)⋊C4C2211yescharacteristic
44C2×#66932C2211yescharacteristic
45C2×#66931C2211yescharacteristic
46C2×#66931C2211yescharacteristic
47C2×#66929C2211yescharacteristic
48C2×#66925C2211yescharacteristic
49C2×C42×D11C2211yescharacteristic
50C2×C4×Dic22C2211yescharacteristic
51C11×#390C2211yescharacteristic
52C11×#389C2211yescharacteristic
53C11×#388C2211yescharacteristic
54C11×#388C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#387C2211yescharacteristic
58C11×#387C2211yescharacteristic
59C11×#386C2211yescharacteristic
60C11×#385C2211yescharacteristic
61C11×#380C2211yescharacteristic
62C4×C11×C4⋊C4C2211yescharacteristic
63C4×C11×C22⋊C4C2211yescharacteristic
64C4×C11×C22⋊C4C2211yescharacteristic
65#10622836C2211yescharacteristic
66#10622835C2211yescharacteristic
67#10622833C2211yescharacteristic
68#10622825C2211yescharacteristic
69#10622823C2211yescharacteristic
70#10622823C2211yescharacteristic
71C4×C22⋊Dic11C2211yescharacteristic
72#10622607C2211yescharacteristic
73#10622607C2211yescharacteristic
74#10622607C2211yescharacteristic
75#10622607C2211yescharacteristic
76#10622605C2211yescharacteristic
77#10622605C2211yescharacteristic
78#10622604C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622603C2211yescharacteristic
81#10622603C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622599C2211yescharacteristic
85#10622598C2211yescharacteristic
86#10622597C2211yescharacteristic
87#10622596C2211yescharacteristic
88#10622594C2211yescharacteristic
89#10622594C2211yescharacteristic
90#10622591C2211yescharacteristic
91#10622589C2211yescharacteristic
92#10622586C2211yescharacteristic
93#10622585C2211yescharacteristic
94#10622585C2211yescharacteristic
95#10622585C2211yescharacteristic
96#10622585C2211yescharacteristic
97#10622574C2211yescharacteristic
98#10622574C2211yescharacteristic
99#10622574C2211yescharacteristic
100#10622574C2211yescharacteristic
101#10622573C2211yescharacteristic
102#10622572C2211yescharacteristic
103#10622572C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622570C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622570C2211yescharacteristic
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622566C2211yescharacteristic
114#10622565C2211yescharacteristic
115#10622565C2211yescharacteristic
116#10622564C2211yescharacteristic
117#10622564C2211yescharacteristic
118#10622561C2211yescharacteristic
119#10622561C2211yescharacteristic
120#10622558C2211yescharacteristic
121#10622558C2211yescharacteristic
122#10622558C2211yescharacteristic
123#10622558C2211yescharacteristic
124#10622557C2211yescharacteristic
125#10622557C2211yescharacteristic
126#10622555C2211yescharacteristic
127#10622555C2211yescharacteristic
128#10622555C2211yescharacteristic
129C22⋊C4×Dic11C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131#10622553C2211yescharacteristic
132#10622553C2211yescharacteristic
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137C4×(C2×D11)⋊C4C2211yescharacteristic
138#10622549C2211yescharacteristic
139#10622546C2211yescharacteristic
140#10622546C2211yescharacteristic
141#10622546C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C4×Dic11⋊C4C2211yescharacteristic
144C4×Dic11⋊C4C2211yescharacteristic
145C42×Dic11C2211yescharacteristic
146#10622541C2211yescharacteristic
147#10622288C2211yescharacteristic
148#10622288C2211yescharacteristic
149#10622287C2211yescharacteristic
150#10622285C2211yescharacteristic
151#10622285C2211yescharacteristic
152#10622283C2211yescharacteristic
153#10622283C2211yescharacteristic
154#10622282C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622280C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622272C2211yescharacteristic
164#10622271C2211yescharacteristic
165#10622271C2211yescharacteristic
166#10622268C2211yescharacteristic
167#10622268C2211yescharacteristic
168#10622266C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622265C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622264C2211yescharacteristic
173#10622264C2211yescharacteristic
174#10622263C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622260C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C2×#4339—24no—
197C2×#4339—42no—
198C2×#4339—42no—
199C22×D44C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×Dic22C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C11×#123—24no—
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C22⋊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×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239#66992—42no—
240#66982—24no—
241C4×C22⋊D11—24no—
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×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×C4×Dic11—42no—
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306#66949—24no—
307#66942—42no—
308#66941—42no—
309#66938—42no—
310(C22⋊D11)⋊C4—24no—
311(C22⋊D11)⋊C4—24no—
312#66932—24no—
313#66931—42no—
314#66931—42no—
315#66929—24no—
316#66925—42no—
317C42×D11—42no—
318C4×Dic22—42no—
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#35036—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C2×D4×C11—22no—
369C2×D4×C11—41no—
370C2×D4×C11—41no—
371C22×C4×C11—22no—
372C22×C4×C11—41no—
373C22×C4×C11—41no—
374C22×C4×C11—41no—
375C22×C4×C11—41no—
376C22×C4×C11#4114yescomplemented
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C2×C22⋊D11—22no—
391C2×C22⋊D11—22no—
392C2×C22⋊D11—22no—
393C2×C22⋊D11—22no—
394C2×C22⋊D11—22no—
395C2×C22⋊D11—22no—
396C2×C22⋊D11—22no—
397C2×C22⋊D11—22no—
398C2×C22⋊D11—41no—
399C2×C22⋊D11—41no—
400C2×C22⋊D11—41no—
401C2×C22⋊D11—41no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—22no—
405C22×Dic11—22no—
406C22×Dic11—22no—
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
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422#4339—416no—
423C2×D44—22no—
424C2×D44—41no—
425C2×D44—41no—
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—41no—
433C2×C4×D11—41no—
434C2×C4×D11—41no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11#4114yes—
438C2×Dic22—22no—
439C2×Dic22—22no—
440C2×Dic22—22no—
441C2×Dic22—22no—
442C2×Dic22—22no—
443C2×Dic22—22no—
444C11×C4⋊C4—22no—
445C11×C4⋊C4—22no—
446C11×C4⋊C4—22no—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C4⋊C4—41no—
450C11×C4⋊C4—41no—
451C11×C22⋊C4—22no—
452C11×C22⋊C4—22no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—22no—
455C11×C22⋊C4—22no—
456C11×C22⋊C4—22no—
457C11×C22⋊C4—41no—
458C11×C22⋊C4—41no—
459C11×C22⋊C4—41no—
460C11×C22⋊C4—41no—
461C42×C11—22no—
462C42×C11—41no—
463C42×C11—41no—
464C42×C11—41no—
465C42×C11—41no—
466C22⋊Dic11—22no—
467C22⋊Dic11—22no—
468C22⋊Dic11—22no—
469C22⋊Dic11—22no—
470C22⋊Dic11—22no—
471C22⋊Dic11—41no—
472C22⋊Dic11—41no—
473C22⋊Dic11—41no—
474C22⋊Dic11—41no—
475C22⋊Dic11—41no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—22no—
480(C2×D11)⋊C4—22no—
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—41no—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4—41no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496C4⋊Dic11—22no—
497C4⋊Dic11—41no—
498C4⋊Dic11—41no—
499C4⋊Dic11—41no—
500C4⋊Dic11—41no—
501C4⋊Dic11—41no—
502C4⋊Dic11—41no—
503Dic11⋊C4—22no—
504Dic11⋊C4—22no—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
509Dic11⋊C4—22no—
510Dic11⋊C4—22no—
511Dic11⋊C4—22no—
512Dic11⋊C4—22no—
513Dic11⋊C4—22no—
514Dic11⋊C4—22no—
515Dic11⋊C4—22no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4#4114yescomplemented
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—22no—
531C4×Dic11—22no—
532C4×Dic11—22no—
533C4×Dic11—22no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539#2863—111no—
540#2861—111no—
541#2857—111no—
542#2854—111no—
543#2649—111no—
544#2649—111no—
545#2630—111no—
546#2630—111no—
547#2587—111no—
548#2587—111no—
549#2578—111no—
550#2578—111no—
551#2518—111no—
552#2518—111no—
553#2512—111no—
554#2489—111no—
555#2467—111no—
556#2467—111no—
557#2446—111no—
558#2441—111no—
559#2432—111no—
560#2426—111no—
561#2415—111no—
562#2407—111no—
563#2335—111no—
564#2335D1111yescharacteristic, complemented
565#2334—111no—
566#2334—111no—
567C4×C22⋊Q8—111no—
568#2297—111no—
569C42×D4—111no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11C2×#4112yes—
584C23×C11C2511yescharacteristic
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—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11C2×#4112yes—
599D4×C11—82no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—44no—
636C2×C4×C11—44no—
637C2×C4×C11C2×#4112yes—
638C2×C4×C11C2×#4112yes—
639C2×C4×C11C2×#4112yes—
640C2×C4×C11C2×#4112yes—
641C22⋊D11—28no—
642C22⋊D11—44no—
643C22⋊D11—44no—
644C22⋊D11—82no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—44no—
682C2×Dic11—44no—
683C2×Dic11C2×#4112yes—
684C2×Dic11C2×#4112yes—
685C2×Dic11C2×#4112yes—
686C2×Dic11H(5,𝔽2)12yes—
687C2×Dic11H(5,𝔽2)12yes—
688C2×Dic112−1+412yes—
689D44—44no—
690C4×D11—28no—
691C4×D11—44no—
692C4×D11—44no—
693C4×D11—44no—
694Dic22—44no—
695Dic22—44no—
696C22×#41—111no—
697C2×C4⋊Q8—111no—
698C2×#126—111no—
699C2×#126—111no—
700C2×#125—111no—
701C2×#124—111no—
702C2×#123—111no—
703C2×#123C2×D1111yescharacteristic
704C2×C22⋊Q8—111no—
705C2×C22⋊Q8—111no—
706C2×C22⋊Q8—111no—
707C2×#121—111no—
708C2×C4×Q8—111no—
709C2×C4×D4—111no—
710C2×C4×D4—111no—
711C2×C4×D4—111no—
712C2×#117—111no—
713C22×C42—111no—
714C22×C42—111no—
715#400—111no—
716#400—111no—
717#400—111no—
718#400—111no—
719#399—111no—
720#399—111no—
721#398—111no—
722#398—111no—
723#397—111no—
724#397—111no—
725#397—111no—
726#397—111no—
727#397—111no—
728#397—111no—
729#396—111no—
730#396—111no—
731#396—111no—
732#396—111no—
733#396—111no—
734#396—111no—
735#394—111no—
736#394—111no—
737#394—111no—
738#394—111no—
739#394—111no—
740#394—111no—
741#394—111no—
742#394—111no—
743#394—111no—
744#394—111no—
745#392—111no—
746#392—111no—
747#391—111no—
748#391—111no—
749#391—111no—
750#391—111no—
751#391—111no—
752#391—111no—
753#390—111no—
754#390—111no—
755#390—111no—
756#390—111no—
757#390—111no—
758#390C2×D1111yescharacteristic
759#389—111no—
760#389—111no—
761#389—111no—
762#389—111no—
763#389—111no—
764#389—111no—
765#389—111no—
766#389—111no—
767#389—111no—
768#389—111no—
769#389—111no—
770#389C2×D1111yescharacteristic
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
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#388C2×D1111yescharacteristic
788#388C2×D1111yescharacteristic
789#388C2×D1111yescharacteristic
790#388C2×D1111yescharacteristic
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#387C2×D1111yescharacteristic
804#387C2×D1111yescharacteristic
805#386—111no—
806#386—111no—
807#386—111no—
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386C2×D1111yescharacteristic
813#385—111no—
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385C2×D1111yescharacteristic
821#384—111no—
822#383—111no—
823#383—111no—
824#382—111no—
825#382—111no—
826#380—111no—
827#380—111no—
828#380—111no—
829#380—111no—
830#380—111no—
831#380C2×D1111yescharacteristic
832C4×C4⋊C4—111no—
833C4×C4⋊C4—111no—
834C4×C4⋊C4—111no—
835C4×C4⋊C4—111no—
836C4×C4⋊C4—111no—
837C4×C4⋊C4C2×D1111yescharacteristic
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⋊C4C2×D1111yescharacteristic
849C4×C22⋊C4C2×D1111yescharacteristic
850C43—111no—
851C22×C11—22no—
852C22×C11—22no—
853C22×C11—22no—
854C22×C11—41no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11—41no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11C22×#4111yescharacteristic
866C22×C11C22×#4111yescharacteristic
867C22×C11C22×#4111yescharacteristic
868C22×C11C2×H(5,𝔽2)11yescharacteristic
869C22×C11C2×H(5,𝔽2)11yescharacteristic
870C22×C11C2×2−1+411yescharacteristic
871C22×C11#58511yescharacteristic
872C2×D11—22no—
873C2×D11—22no—
874C2×D11—22no—
875C2×D11—41no—
876C2×D11—41no—
877C2×D11—41no—
878C2×D11—41no—
879C2×D11—41no—
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C2×D11—41no—
884C2×D11—41no—
885C2×D11—41no—
886C4×C11—22no—
887C4×C11—22no—
888C4×C11—22no—
889C4×C11—22no—
890C4×C11—41no—
891C4×C11—41no—
892C4×C11—41no—
893C4×C11—41no—
894C4×C11—41no—
895C4×C11—41no—
896C4×C11—41no—
897C4×C11—41no—
898C4×C11—41no—
899Dic11—22no—
900Dic11—22no—
901Dic11—22no—
902Dic11—41no—
903Dic11—41no—
904Dic11—41no—
905Dic11—41no—
906Dic11—41no—
907Dic11—41no—
908Dic11—41no—
909Dic11—41no—
910Dic11—41no—
911Dic11—41no—
912Dic11#53814yes—
913C2×#41—224no—
914C2×#41—442no—
915C2×#41—442no—
916C22×Q8—111no—
917C22×Q8—111no—
918C22×D4—111no—
919C22×D4—111no—
920C22×D4—111no—
921C22×D4—111no—
922C22×D4—111no—
923C22×D4C22×D1111yescharacteristic
924C23×C4—111no—
925C23×C4—111no—
926C23×C4—111no—
927C23×C4—111no—
928C23×C4—111no—
929C23×C4—111no—
930C23×C4C22×D1111yescharacteristic
931C23×C4C22×D1111yescharacteristic
932C4⋊Q8—442no—
933#126—224no—
934#126—224no—
935#125—442no—
936#124—442no—
937#123—24no—
938#123—224no—
939C22⋊Q8—224no—
940C22⋊Q8—442no—
941C22⋊Q8—442no—
942#121—442no—
943C4×Q8—442no—
944C4×D4—224no—
945C4×D4—224no—
946C4×D4—224no—
947#117—442no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊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⋊C4—111no—
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
983C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4C22×D1111yescharacteristic
1015C2×C22⋊C4C22×D1111yescharacteristic
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×C22⋊C4C22×D1111yescharacteristic
1023C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1034C2×C42—111no—
1035C2×C42—111no—
1036C2×C42—111no—
1037C2×C42—111no—
1038C2×C42—442no—
1039C2×C42—442no—
1040C2×C42C22×D1111yescharacteristic
1041C2×C42C22×D1111yescharacteristic
1042C2×C42C22×D1111yescharacteristic
1043C2×C42C22×D1111yescharacteristic
1044C2×C42C22×D1111yescharacteristic
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95C22×D1111yescharacteristic
1080#95C22×D1111yescharacteristic
1081#95C22×D1111yescharacteristic
1082#95C22×D1111yescharacteristic
1083#95C22×D1111yescharacteristic
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089C2×C11—42no—
1090C2×C11—81no—
1091C2×C11#344411yescharacteristic
1092C2×C11C2×#53811yescharacteristic
1093C2×C11#346111yescharacteristic
1094C2×C11#350511yescharacteristic
1095C2×C11#351111yescharacteristic
1096C2×C11#351711yescharacteristic
1097C2×C11#352011yescharacteristic
1098D11—42no—
1099D11—81no—
1100C24—111no—
1101C24—111no—
1102C24C23×D1111yescharacteristic
1103C24C23×D1111yescharacteristic
1104#41—4416no—
1105C2×Q8—222no—
1106C2×Q8—222no—
1107C2×Q8—222no—
1108C2×Q8—222no—
1109C2×Q8—222no—
1110C2×Q8—222no—
1111C2×D4—22no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—222no—
1115C2×D4—222no—
1116C2×D4—222no—
1117C2×D4—222no—
1118C2×D4—222no—
1119C2×D4—222no—
1120C2×D4—222no—
1121C2×D4—222no—
1122C2×D4—222no—
1123C2×D4—441no—
1124C2×D4—441no—
1125C2×D4—441no—
1126C2×D4—441no—
1127C2×D4—441no—
1128C2×D4—441no—
1129C22×C4—22no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—111no—
1135C22×C4—111no—
1136C22×C4—111no—
1137C22×C4—111no—
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—441no—
1161C22×C4—441no—
1162C22×C4—441no—
1163C22×C4—441no—
1164C22×C4—441no—
1165C22×C4—441no—
1166C22×C4#433914yescomplemented
1167C22×C4C23×D1111yescharacteristic
1168C22×C4C23×D1111yescharacteristic
1169C22×C4C23×D1111yescharacteristic
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1111yescharacteristic
1175C22×C4C23×D1111yescharacteristic
1176C22×C4C23×D1111yescharacteristic
1177C22×C4C23×D1111yescharacteristic
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C4⋊C4—22no—
1181C4⋊C4—22no—
1182C4⋊C4—22no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—114no—
1188C4⋊C4—222no—
1189C4⋊C4—222no—
1190C4⋊C4—222no—
1191C4⋊C4—222no—
1192C4⋊C4—222no—
1193C4⋊C4—222no—
1194C4⋊C4—222no—
1195C4⋊C4—222no—
1196C4⋊C4—222no—
1197C4⋊C4—222no—
1198C4⋊C4—222no—
1199C4⋊C4—222no—
1200C4⋊C4—222no—
1201C4⋊C4—222no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C4⋊C4—441no—
1214C4⋊C4—441no—
1215C4⋊C4—441no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—222no—
1227C22⋊C4—222no—
1228C22⋊C4—222no—
1229C22⋊C4—222no—
1230C22⋊C4—222no—
1231C22⋊C4—222no—
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—441no—
1243C22⋊C4—441no—
1244C22⋊C4—441no—
1245C22⋊C4—441no—
1246C22⋊C4—441no—
1247C22⋊C4—441no—
1248C22⋊C4—441no—
1249C22⋊C4—441no—
1250C22⋊C4—441no—
1251C22⋊C4—441no—
1252C22⋊C4—441no—
1253C22⋊C4—441no—
1254C22⋊C4—441no—
1255C22⋊C4—441no—
1256C42—22no—
1257C42—41no—
1258C42—41no—
1259C42—41no—
1260C42—41no—
1261C42—222no—
1262C42—222no—
1263C42—222no—
1264C42—222no—
1265C42—222no—
1266C42—222no—
1267C42—222no—
1268C42—222no—
1269C42—222no—
1270C42—441no—
1271C42—441no—
1272C42—441no—
1273C42—441no—
1274C42—441no—
1275C11#3503611yescharacteristic, complemented, Sylow
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—112no—
1290C23—221no—
1291C23—221no—
1292C23—221no—
1293C23—221no—
1294C23—221no—
1295C23—221no—
1296C23—221no—
1297C23—221no—
1298C23—221no—
1299C23—221no—
1300C23—221no—
1301C23—221no—
1302C23—221no—
1303C23C2×#433912yes—
1304C23C24×D1111yescharacteristic
1305Q8—444no—
1306Q8—444no—
1307D4—82no—
1308D4—228no—
1309D4—444no—
1310D4—444no—
1311D4—444no—
1312D4—882no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—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—44no—
1349C2×C4—44no—
1350C2×C4—112no—
1351C2×C4—112no—
1352C2×C4—112no—
1353C2×C4—112no—
1354C2×C4—112no—
1355C2×C4—112no—
1356C2×C4—228no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—444no—
1394C2×C4—444no—
1395C2×C4—444no—
1396C2×C4—444no—
1397C2×C4—444no—
1398C2×C4C2×#433912yes—
1399C2×C4C2×#433912yes—
1400C2×C4#41×D1112yes—
1401C2×C4#41×D1112yes—
1402C22—22no—
1403C22—22no—
1404C22—22no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—222no—
1417C22—222no—
1418C22—222no—
1419C22—441no—
1420C22—441no—
1421C22—441no—
1422C22—441no—
1423C22—441no—
1424C22—441no—
1425C22—441no—
1426C22—441no—
1427C22—441no—
1428C22—441no—
1429C22—441no—
1430C22C22×#433911yescharacteristic
1431C22C2×#41×D1111yescharacteristic
1432C22C2×#41×D1111yescharacteristic
1433C22D11×H(5,𝔽2)11yescharacteristic
1434C22D11×H(5,𝔽2)11yescharacteristic
1435C22#1062345511yescharacteristic
1436C22D11×2−1+411yescharacteristic
1437C4—22no—
1438C4—22no—
1439C4—22no—
1440C4—22no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—114no—
1451C4—222no—
1452C4—222no—
1453C4—222no—
1454C4—441no—
1455C4—441no—
1456C4—441no—
1457C4—441no—
1458C4—441no—
1459C4—441no—
1460C4—441no—
1461C4—441no—
1462C4—441no—
1463C4—441no—
1464C2—42no—
1465C2—81no—
1466C2—442no—
1467C2—881no—
1468C2#1308190911yescharacteristic
1469C2D11×#53811yescharacteristic
1470C2#1308204211yescharacteristic
1471C2#1308244611yescharacteristic
1472C2#1308251911yescharacteristic
1473C2#1308261811yescharacteristic
1474C2#1308265711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2335C2
prime radical#13071958C2
hypercenter#2335D11
hypocenterC11#35036
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
1. #13076997C2semidirect
2. #13076985C2semidirect
3. #13076966C2semidirect
4. #13076945C2semidirect
5. #13074617C2semidirect
6. #13074615C2semidirect
7. #13074457C2semidirect
8. #13074455C2semidirect
9. #13074044C2semidirect
10. #13074036C2semidirect
11. #13073955C2semidirect
12. #13073947C2semidirect
13. #13073280C2semidirect
14. #13073278C2semidirect
15. #13073199C2semidirect
16. #13072954C2semidirect
17. #13072673C2semidirect
18. #13072671C2semidirect
19. #13072389C2semidirect
20. #13072326C2semidirect
21. #13072242C2semidirect
22. #13072179C2semidirect
23. #13072042C2semidirect
25. #13071406C2semidirect
26. #13071393C2semidirect
27. #13071391C2semidirect
28. C4×#66949C2semidirect
29. #13071102C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2335C2semidirect
376. C22×C4×C11#41semidirect
524. Dic11⋊C4#41semidirect
564. #2335D11semidirect
1166. C22×C4#4339semidirect
1275. C11#35036semidirect

Maximal subgroups

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

subgroupindex
#130769972
#130769852
#130769662
#130769452
#130746172
#130746152
#130744572
#130744552
#130740442
#130740362
#130739552
#130739472
#130732802
#130732782
#130731992
#130729542
#130726732
#130726712
#130723892
#130723262
#130722422
#130721792
#130720422
#130719582
#130714062
#130713932
#130713912
C4×#669492
#130711022
C4×(C22⋊D11)⋊C42
C11×#23352
#3503611