Finite Group Databasebeta

← #14913725

Subgroups — #14913725

Order 2816.

2340 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623233C211yesmaximal, characteristic
2#13071739C211yesmaximal, characteristic, complemented
3#13071737C211yesmaximal, characteristic, complemented
4#13071730C211yesmaximal, characteristic, complemented
5#13071688C211yesmaximal, characteristic
6#13071684C211yesmaximal, characteristic
7#13071671C211yesmaximal, characteristic, complemented
8#13071646C211yesmaximal, characteristic, complemented
9#13071644C211yesmaximal, characteristic, complemented
10#13071582C211yesmaximal, characteristic, complemented
11#13071578C211yesmaximal, characteristic, complemented
12#13071570C211yesmaximal, characteristic, complemented
13#13071562C211yesmaximal, characteristic
14#13071510C211yesmaximal, characteristic, complemented
15#13071506C211yesmaximal, characteristic, complemented
16#13071187C211yesmaximal, characteristic, complemented
17#13071170C211yesmaximal, characteristic, complemented
18#126×Dic11C211yesmaximal, characteristic, complemented
19#13071166C211yesmaximal, characteristic, complemented
20#13071166C211yesmaximal, characteristic, complemented
21#13071157C211yesmaximal, characteristic
22#13071157C211yesmaximal, characteristic
23#13071150C211yesmaximal, characteristic, complemented
24#13071148C211yesmaximal, characteristic, complemented
25C4×#66940C211yesmaximal, characteristic, complemented
26C4×#66940C211yesmaximal, characteristic, complemented
27C4×#66940C211yesmaximal, characteristic, complemented
28C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic
29#13070955C211yesmaximal, characteristic, complemented
30C4×#66930C211yesmaximal, characteristic, complemented
31C11×#2373C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C2×C4×C22⋊D11C2211yescharacteristic
34C22×C4×Dic11C2211yescharacteristic
35#10623233C4116yescomplemented
36C2×#66951C2211yescharacteristic
37C2×#66951C2211yescharacteristic
38C2×#66949C2211yescharacteristic
39C2×#66941C2211yescharacteristic
40C2×#66940C2211yescharacteristic
41C2×#66940C2211yescharacteristic
42C2×#66940C2211yescharacteristic
43C2×#66940C2211yescharacteristic
44C2×#66940C2211yescharacteristic
45C2×#66940C2211yescharacteristic
46C2×#66938C2211yescharacteristic
47C2×#66938C2211yescharacteristic
48C2×(C22⋊D11)⋊C4C2211yescharacteristic
49C2×(C22⋊D11)⋊C4C2211yescharacteristic
50C2×#66932C2211yescharacteristic
51C2×#66931C2211yescharacteristic
52C2×#66930C2211yescharacteristic
53C2×#66930C2211yescharacteristic
54C2×#66925C2211yescharacteristic
55C2×#66925C2211yescharacteristic
56C2×C42×D11C2211yescharacteristic
57C2×C4×Dic22C2211yescharacteristic
58C2×C4×Dic22C2211yescharacteristic
59C2×C4×Dic22C2211yescharacteristic
60C11×#389C2211yescharacteristic
61C11×#388C2211yescharacteristic
62C11×#388C2211yescharacteristic
63C11×#388C2211yescharacteristic
64C11×#387C2211yescharacteristic
65C11×#387C2211yescharacteristic
66C11×#387C2211yescharacteristic
67C11×#385C2211yescharacteristic
68C4×C11×C4⋊C4C2211yescharacteristic
69C4×C11×C4⋊C4C2211yescharacteristic
70C4×C11×C4⋊C4C2211yescharacteristic
71C4×C11×C22⋊C4C2211yescharacteristic
72C4×C11×C22⋊C4C2211yescharacteristic
73C11×#376C2211yescharacteristic
74#10622823C2211yescharacteristic
75C4×C22⋊Dic11C2211yescharacteristic
76#10622603C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622594C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622591C2211yescharacteristic
85#10622591C2211yescharacteristic
86#10622589C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95#10622585C2211yescharacteristic
96#10622585C2211yescharacteristic
97#10622585C2211yescharacteristic
98#10622570C2211yescharacteristic
99#10622570C2211yescharacteristic
100#10622564C2211yescharacteristic
101#10622564C2211yescharacteristic
102#10622564C2211yescharacteristic
103#10622558C2211yescharacteristic
104#10622558C2211yescharacteristic
105#10622558C2211yescharacteristic
106#10622557C2211yescharacteristic
107#10622555C2211yescharacteristic
108C22⋊C4×Dic11C2211yescharacteristic
109C22⋊C4×Dic11C2211yescharacteristic
110C22⋊C4×Dic11C2211yescharacteristic
111C22⋊C4×Dic11C2211yescharacteristic
112C22⋊C4×Dic11C2211yescharacteristic
113C22⋊C4×Dic11C2211yescharacteristic
114#10622553C2211yescharacteristic
115#10622553C2211yescharacteristic
116#10622553C2211yescharacteristic
117#10622553C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119#10622550C2211yescharacteristic
120#10622546C2211yescharacteristic
121#10622546C2211yescharacteristic
122#10622545C2211yescharacteristic
123C4×Dic11⋊C4C2211yescharacteristic
124C4×Dic11⋊C4C2211yescharacteristic
125C4×Dic11⋊C4C2211yescharacteristic
126C4×Dic11⋊C4C2211yescharacteristic
127C4×Dic11⋊C4C2211yescharacteristic
128C4×Dic11⋊C4C2211yescharacteristic
129C4×Dic11⋊C4C2211yescharacteristic
130C4×Dic11⋊C4C2211yescharacteristic
131C4×Dic11⋊C4C2211yescharacteristic
132C42×Dic11C2211yescharacteristic
133C42×Dic11C2211yescharacteristic
134C42×Dic11C2211yescharacteristic
135C42×Dic11C2211yescharacteristic
136C42×Dic11C2211yescharacteristic
137C42×Dic11C2211yescharacteristic
138C42×Dic11C2211yescharacteristic
139#10622541C2211yescharacteristic
140#10622283C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622281C2211yescharacteristic
143#10622280C2211yescharacteristic
144#10622279C2211yescharacteristic
145#10622279C2211yescharacteristic
146#10622279C2211yescharacteristic
147#10622279C2211yescharacteristic
148#10622279C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622268C2211yescharacteristic
153#10622268C2211yescharacteristic
154#10622267C2211yescharacteristic
155#10622266C2211yescharacteristic
156#10622266C2211yescharacteristic
157#10622266C2211yescharacteristic
158#10622264C2211yescharacteristic
159#10622264C2211yescharacteristic
160#10622264C2211yescharacteristic
161#10622263C2211yescharacteristic
162#10622263C2211yescharacteristic
163#10622262C2211yescharacteristic
164#10622262C2211yescharacteristic
165#10622262C2211yescharacteristic
166#10622262C2211yescharacteristic
167#10622262C2211yescharacteristic
168#10622262C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622261C2211yescharacteristic
180#10622261C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×Dic22C2311yescharacteristic
196C22×Dic22C2311yescharacteristic
197C22×Dic22C2311yescharacteristic
198C11×#126C2×C418yescomplemented
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C42×C11C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C4×C22⋊D11—24no—
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×C4⋊Dic11C2311yescharacteristic
239C2×C4⋊Dic11C2311yescharacteristic
240C2×C4⋊Dic11C2311yescharacteristic
241C2×C4⋊Dic11C2311yescharacteristic
242C2×C4⋊Dic11C2311yescharacteristic
243C2×Dic11⋊C4C2311yescharacteristic
244C2×Dic11⋊C4C2311yescharacteristic
245C2×Dic11⋊C4C2311yescharacteristic
246C2×Dic11⋊C4C2311yescharacteristic
247C2×Dic11⋊C4C2311yescharacteristic
248C2×Dic11⋊C4C2311yescharacteristic
249C2×Dic11⋊C4C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×C4×Dic11—24no—
265C2×C4×Dic11C2311yescharacteristic
266C2×C4×Dic11C2311yescharacteristic
267C2×C4×Dic11C2311yescharacteristic
268C2×C4×Dic11C2311yescharacteristic
269C2×C4×Dic11C2311yescharacteristic
270C2×C4×Dic11C2311yescharacteristic
271C2×C4×Dic11C2311yescharacteristic
272C2×C4×Dic11C2311yescharacteristic
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302#66951C2×C418yescomplemented
303#66951C2×C418yescomplemented
304#66949C2×C418yescomplemented
305#66941C2×C418yescomplemented
306#66940—24no—
307#66940—24no—
308#66940—24no—
309#66940—24no—
310#66940C2×C418yescomplemented
311#66940C2×C418yescomplemented
312#66938C2×C418yes—
313#66938C2×C418yes—
314(C22⋊D11)⋊C4—24no—
315(C22⋊D11)⋊C4C2×C418yes—
316#66932C2×C418yescomplemented
317#66931C2×C418yescomplemented
318#66930—24no—
319#66930C2×C418yescomplemented
320#66925—24no—
321#66925C2×C418yescomplemented
322C42×D11—24no—
323C4×Dic22—24no—
324C4×Dic22—24no—
325C4×Dic22C2×C418yescomplemented
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C4×#556—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C23×D11C2411yescharacteristic
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—41no—
376C22×C4×C11C2411yescharacteristic
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⋊D11C22×C414yes—
393C22×Dic11—22no—
394C22×Dic11—22no—
395C22×Dic11—22no—
396C22×Dic11—22no—
397C22×Dic11—22no—
398C22×Dic11C22×C414yes—
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—41no—
422C2×C4×D11C22×C414yes—
423C2×Dic22—22no—
424C2×Dic22—22no—
425C2×Dic22—22no—
426C2×Dic22—22no—
427C2×Dic22—22no—
428C2×Dic22—22no—
429C2×Dic22C22×C414yes—
430C2×Dic22C22×C414yes—
431C2×Dic22C22×C414yes—
432C11×C4⋊C4—22no—
433C11×C4⋊C4—22no—
434C11×C4⋊C4—22no—
435C11×C4⋊C4—22no—
436C11×C4⋊C4—41no—
437C11×C4⋊C4C22×C414yes—
438C11×C4⋊C4C22×C414yes—
439C11×C4⋊C4C22×C414yes—
440C11×C22⋊C4—22no—
441C11×C22⋊C4—22no—
442C11×C22⋊C4—41no—
443C11×C22⋊C4C22×C414yes—
444C11×C22⋊C4C22×C414yes—
445C11×C22⋊C4C22×C414yes—
446C42×C11—22no—
447C42×C11—22no—
448C42×C11—22no—
449C42×C11—22no—
450C42×C11—41no—
451C42×C11—41no—
452C42×C11—41no—
453C42×C11C22×C414yes—
454C22⋊Dic11—22no—
455C22⋊Dic11—22no—
456C22⋊Dic11—41no—
457C22⋊Dic11C22×C414yes—
458C22⋊Dic11C22×C414yes—
459(C2×D11)⋊C4—22no—
460(C2×D11)⋊C4—22no—
461(C2×D11)⋊C4—22no—
462(C2×D11)⋊C4—22no—
463(C2×D11)⋊C4—41no—
464(C2×D11)⋊C4—41no—
465(C2×D11)⋊C4C22×C414yes—
466(C2×D11)⋊C4C22×C414yes—
467(C2×D11)⋊C4C22×C414yes—
468(C2×D11)⋊C4C22×C414yes—
469(C2×D11)⋊C4C22×C414yes—
470C4⋊Dic11—22no—
471C4⋊Dic11—22no—
472C4⋊Dic11—41no—
473C4⋊Dic11C22×C414yes—
474C4⋊Dic11C22×C414yes—
475Dic11⋊C4—22no—
476Dic11⋊C4—22no—
477Dic11⋊C4—22no—
478Dic11⋊C4—22no—
479Dic11⋊C4—22no—
480Dic11⋊C4—22no—
481Dic11⋊C4—22no—
482Dic11⋊C4—22no—
483Dic11⋊C4—22no—
484Dic11⋊C4—22no—
485Dic11⋊C4—22no—
486Dic11⋊C4—22no—
487Dic11⋊C4C22×C414yes—
488Dic11⋊C4C22×C414yes—
489Dic11⋊C4C22×C414yes—
490Dic11⋊C4C22×C414yes—
491Dic11⋊C4C22×C414yes—
492Dic11⋊C4C22×C414yes—
493Dic11⋊C4C22×C414yes—
494Dic11⋊C4#4114yes—
495Dic11⋊C4#4114yes—
496C4×Dic11—22no—
497C4×Dic11—22no—
498C4×Dic11—22no—
499C4×Dic11—22no—
500C4×Dic11—22no—
501C4×Dic11—22no—
502C4×Dic11—22no—
503C4×Dic11—22no—
504C4×Dic11—22no—
505C4×Dic11—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—22no—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—22no—
514C4×Dic11—22no—
515C4×Dic11—22no—
516C4×Dic11—22no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—22no—
520C4×Dic11—22no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524C4×Dic11—41no—
525C4×Dic11C22×C414yes—
526C4×Dic11C22×C414yes—
527C4×Dic11C22×C414yes—
528C4×Dic11C22×C414yes—
529C4×Dic11C22×C414yes—
530C4×Dic11C22×C414yes—
531C4×Dic11#4114yes—
532C4×Dic11#4114yes—
533C2×#556—111no—
534#2373—111no—
535#2373—111no—
536#2373—111no—
537#2373D1111yescharacteristic, complemented
538#2367—111no—
539#2367—111no—
540#2365—111no—
541#2362—111no—
542#2362—111no—
543#2356—111no—
544#2356—111no—
545#2355—111no—
546#2354—111no—
547#2347—111no—
548#2347—111no—
549C4×C4⋊Q8—111no—
550C4×#126—111no—
551C4×#126—111no—
552C4×#126—111no—
553C4×#126—111no—
554C4×#124—111no—
555C4×#124—111no—
556C4×C22⋊Q8—111no—
557C4×C22⋊Q8—111no—
558C42×Q8—111no—
559C42×Q8—111no—
560C42×Q8—111no—
561C42×D4—111no—
562C4×#117—111no—
563C4×#117—111no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11C23×C412yes—
571C23×C11C2511yescharacteristic
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11C23×C412yes—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—44no—
612C2×C4×C11C23×C412yes—
613C2×C4×C11C23×C412yes—
614C2×C4×C11C23×C412yes—
615C2×C4×C11C23×C412yes—
616C2×C4×C11C23×C412yes—
617C2×C4×C11C23×C412yes—
618C2×C4×C11C2×#4112yes—
619C2×C4×C11C2×#4112yes—
620C2×C4×C11C2×#4112yes—
621C2×C4×C11C2×#4112yes—
622C22⋊D11—28no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—28no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—44no—
654C2×Dic11C23×C412yes—
655C2×Dic11C23×C412yes—
656C2×Dic11C23×C412yes—
657C2×Dic11C23×C412yes—
658C2×Dic11C23×C412yes—
659C2×Dic11C23×C412yes—
660C2×Dic11C23×C412yes—
661C2×Dic11C2×#4112yes—
662C2×Dic11C2×#4112yes—
663C2×Dic11C2×#4112yes—
664C2×Dic11C2×#4112yes—
665C2×Dic11C2×#4112yes—
666C2×Dic11C2×#4112yes—
667C2×Dic11C2×#4112yes—
668C2×Dic11C2×#4112yes—
669C2×Dic112−1+412yes—
670C4×D11—28no—
671C4×D11—44no—
672C4×D11—44no—
673Dic22—28no—
674Dic22—28no—
675Dic22—28no—
676#556—1116no—
677C2×C4⋊Q8—111no—
678C2×#126—111no—
679C2×#126—111no—
680C2×#126—111no—
681C2×#126C2×D1111yescharacteristic
682C2×#124—111no—
683C2×#124—111no—
684C2×C22⋊Q8—111no—
685C2×C22⋊Q8—111no—
686C2×C4×Q8—111no—
687C2×C4×Q8—111no—
688C2×C4×Q8—111no—
689C2×C4×Q8—111no—
690C2×C4×Q8—111no—
691C2×C4×Q8—111no—
692C2×C4×Q8—111no—
693C2×C4×Q8—111no—
694C2×C4×Q8—111no—
695C2×C4×D4—111no—
696C2×C4×D4—111no—
697C2×C4×D4—111no—
698C2×#117—111no—
699C2×#117—111no—
700C2×#117—111no—
701C2×#117—111no—
702C22×C42—111no—
703C22×C42—111no—
704#391—111no—
705#391—111no—
706#391—111no—
707#391—111no—
708#391—111no—
709#391—111no—
710#390—111no—
711#390—111no—
712#389—111no—
713#389—111no—
714#389—111no—
715#389—111no—
716#389—111no—
717#389C2×D1111yescharacteristic
718#388—111no—
719#388—111no—
720#388—111no—
721#388—111no—
722#388—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#388—111no—
727#388—111no—
728#388—111no—
729#388—111no—
730#388—111no—
731#388—111no—
732#388—111no—
733#388—111no—
734#388—111no—
735#388C2×D1111yescharacteristic
736#388C2×D1111yescharacteristic
737#388C2×D1111yescharacteristic
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387—111no—
744#387—111no—
745#387—111no—
746#387—111no—
747#387—111no—
748#387—111no—
749#387—111no—
750#387—111no—
751#387C2×D1111yescharacteristic
752#387C2×D1111yescharacteristic
753#387C2×D1111yescharacteristic
754#385—111no—
755#385—111no—
756#385—111no—
757#385C2×D1111yescharacteristic
758#384—111no—
759#383—111no—
760#383—111no—
761#383—111no—
762#383—111no—
763#382—111no—
764#382—111no—
765#380—111no—
766#380—111no—
767C4×C4⋊C4—111no—
768C4×C4⋊C4—111no—
769C4×C4⋊C4—111no—
770C4×C4⋊C4—111no—
771C4×C4⋊C4—111no—
772C4×C4⋊C4—111no—
773C4×C4⋊C4—111no—
774C4×C4⋊C4—111no—
775C4×C4⋊C4—111no—
776C4×C4⋊C4—111no—
777C4×C4⋊C4—111no—
778C4×C4⋊C4—111no—
779C4×C4⋊C4—111no—
780C4×C4⋊C4—111no—
781C4×C4⋊C4—111no—
782C4×C4⋊C4—111no—
783C4×C4⋊C4—111no—
784C4×C4⋊C4—111no—
785C4×C4⋊C4—111no—
786C4×C4⋊C4—111no—
787C4×C4⋊C4—111no—
788C4×C4⋊C4—111no—
789C4×C4⋊C4—111no—
790C4×C4⋊C4—111no—
791C4×C4⋊C4—111no—
792C4×C4⋊C4—111no—
793C4×C4⋊C4—111no—
794C4×C4⋊C4—111no—
795C4×C4⋊C4—111no—
796C4×C4⋊C4—111no—
797C4×C4⋊C4—111no—
798C4×C4⋊C4—111no—
799C4×C4⋊C4—111no—
800C4×C4⋊C4C2×D1111yescharacteristic
801C4×C4⋊C4C2×D1111yescharacteristic
802C4×C4⋊C4C2×D1111yescharacteristic
803C4×C22⋊C4—111no—
804C4×C22⋊C4—111no—
805C4×C22⋊C4—111no—
806C4×C22⋊C4—111no—
807C4×C22⋊C4—111no—
808C4×C22⋊C4—111no—
809C4×C22⋊C4—111no—
810C4×C22⋊C4—111no—
811C4×C22⋊C4—111no—
812C4×C22⋊C4—111no—
813C4×C22⋊C4—111no—
814C4×C22⋊C4—111no—
815C4×C22⋊C4—111no—
816C4×C22⋊C4—111no—
817C4×C22⋊C4—111no—
818C4×C22⋊C4—111no—
819C4×C22⋊C4C2×D1111yescharacteristic
820C4×C22⋊C4C2×D1111yescharacteristic
821#376—111no—
822#376—111no—
823#376—111no—
824#376C2×D1111yescharacteristic
825C43—111no—
826C43—111no—
827C43—111no—
828C43—111no—
829C43—111no—
830C43—111no—
831C43—111no—
832C22×C11—22no—
833C22×C11—22no—
834C22×C11—22no—
835C22×C11—41no—
836C22×C11—41no—
837C22×C11—41no—
838C22×C11—41no—
839C22×C11C24×C411yescharacteristic
840C22×C11C22×#4111yescharacteristic
841C22×C11C22×#4111yescharacteristic
842C22×C11C22×#4111yescharacteristic
843C22×C11C22×#4111yescharacteristic
844C22×C11C2×2−1+411yescharacteristic
845C22×C11#58511yescharacteristic
846C2×D11—22no—
847C2×D11—22no—
848C2×D11—22no—
849C2×D11—41no—
850C2×D11—41no—
851C2×D11—41no—
852C2×D11—41no—
853C4×C11—22no—
854C4×C11—22no—
855C4×C11—22no—
856C4×C11—22no—
857C4×C11—22no—
858C4×C11—22no—
859C4×C11—22no—
860C4×C11—22no—
861C4×C11—22no—
862C4×C11—22no—
863C4×C11—41no—
864C4×C11—41no—
865C4×C11—41no—
866C4×C11—41no—
867Dic11—22no—
868Dic11—22no—
869Dic11—22no—
870Dic11—22no—
871Dic11—22no—
872Dic11—22no—
873Dic11—22no—
874Dic11—41no—
875Dic11—41no—
876Dic11—41no—
877Dic11—41no—
878Dic11—41no—
879Dic11C4×#4114yes—
880Dic11C4×#4114yes—
881Dic11#55614yescomplemented
882C22×Q8—111no—
883C22×Q8—111no—
884C22×Q8—111no—
885C22×D4—111no—
886C23×C4—111no—
887C23×C4—111no—
888C23×C4—111no—
889C23×C4—111no—
890C23×C4—111no—
891C23×C4C22×D1111yescharacteristic
892C4⋊Q8—118no—
893#126—118no—
894#126—118no—
895#126—118no—
896#126C4×D1118yescomplemented
897#124—118no—
898#124—118no—
899C22⋊Q8—118no—
900C22⋊Q8—118no—
901C4×Q8—118no—
902C4×Q8—118no—
903C4×Q8—118no—
904C4×Q8—224no—
905C4×Q8—224no—
906C4×Q8—224no—
907C4×Q8—224no—
908C4×Q8—224no—
909C4×Q8—224no—
910C4×D4—118no—
911C4×D4—224no—
912C4×D4—224no—
913#117—118no—
914#117—118no—
915#117—224no—
916#117—224no—
917C2×C4⋊C4—111no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4C22×D1111yescharacteristic
944C2×C4⋊C4C22×D1111yescharacteristic
945C2×C4⋊C4C22×D1111yescharacteristic
946C2×C4⋊C4C22×D1111yescharacteristic
947C2×C4⋊C4C22×D1111yescharacteristic
948C2×C4⋊C4C22×D1111yescharacteristic
949C2×C4⋊C4C22×D1111yescharacteristic
950C2×C4⋊C4C22×D1111yescharacteristic
951C2×C22⋊C4—111no—
952C2×C22⋊C4—111no—
953C2×C22⋊C4—111no—
954C2×C22⋊C4—111no—
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4C22×D1111yescharacteristic
968C2×C22⋊C4C22×D1111yescharacteristic
969C2×C22⋊C4C22×D1111yescharacteristic
970C2×C22⋊C4C22×D1111yescharacteristic
971C2×C22⋊C4C22×D1111yescharacteristic
972C2×C22⋊C4C22×D1111yescharacteristic
973C2×C42—111no—
974C2×C42—111no—
975C2×C42—111no—
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—111no—
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—111no—
990C2×C42—111no—
991C2×C42—111no—
992C2×C42—111no—
993C2×C42—111no—
994C2×C42—111no—
995C2×C42—111no—
996C2×C42—111no—
997C2×C42—111no—
998C2×C42—111no—
999C2×C42—111no—
1000C2×C42—111no—
1001C2×C42—111no—
1002C2×C42—111no—
1003C2×C42—111no—
1004C2×C42—111no—
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—111no—
1008C2×C42—111no—
1009C2×C42—111no—
1010C2×C42—224no—
1011C2×C42—224no—
1012C2×C42C22×D1111yescharacteristic
1013C2×C42C22×D1111yescharacteristic
1014C2×C42C22×D1111yescharacteristic
1015C2×C42C22×D1111yescharacteristic
1016C2×C42C22×D1111yescharacteristic
1017C2×C42C22×D1111yescharacteristic
1018C2×C42C22×D1111yescharacteristic
1019C2×C42C22×D1111yescharacteristic
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95C22×D1111yescharacteristic
1053#95C22×D1111yescharacteristic
1054#95C22×D1111yescharacteristic
1055#95C22×D1111yescharacteristic
1056#95C22×D1111yescharacteristic
1057#95C22×D1111yescharacteristic
1058#95C22×D1111yescharacteristic
1059#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064C2×C11—42no—
1065C2×C11C2×C4×#4111yescharacteristic
1066C2×C11C2×C4×#4111yescharacteristic
1067C2×C11C4×2−1+411yescharacteristic
1068C2×C11C2×#55611yescharacteristic
1069C2×C11#347511yescharacteristic
1070C2×C11#348011yescharacteristic
1071C2×C11#348211yescharacteristic
1072D11—42no—
1073C24—111no—
1074C24C23×D1111yescharacteristic
1075C2×Q8—114no—
1076C2×Q8—114no—
1077C2×Q8—114no—
1078C2×Q8—222no—
1079C2×Q8—222no—
1080C2×Q8—222no—
1081C2×Q8—222no—
1082C2×Q8—222no—
1083C2×Q8—222no—
1084C2×D4—114no—
1085C2×D4—222no—
1086C2×D4—222no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—41no—
1090C22×C4—111no—
1091C22×C4—111no—
1092C22×C4—111no—
1093C22×C4—114no—
1094C22×C4—111no—
1095C22×C4—111no—
1096C22×C4—111no—
1097C22×C4—111no—
1098C22×C4—111no—
1099C22×C4—111no—
1100C22×C4—111no—
1101C22×C4—114no—
1102C22×C4—111no—
1103C22×C4—111no—
1104C22×C4—111no—
1105C22×C4—111no—
1106C22×C4—111no—
1107C22×C4—222no—
1108C22×C4—222no—
1109C22×C4—222no—
1110C22×C4—222no—
1111C22×C4—222no—
1112C22×C4—222no—
1113C22×C4—222no—
1114C22×C4—222no—
1115C22×C4—222no—
1116C22×C4—222no—
1117C22×C4—222no—
1118C22×C4—222no—
1119C22×C4—441no—
1120C22×C4C23×D1111yescharacteristic
1121C22×C4C23×D1111yescharacteristic
1122C22×C4C23×D1111yescharacteristic
1123C22×C4C23×D1111yescharacteristic
1124C22×C4C23×D1111yescharacteristic
1125C22×C4C23×D1111yescharacteristic
1126C22×C4C23×D1111yescharacteristic
1127C22×C4C23×D1111yescharacteristic
1128C22×C4C23×D1111yescharacteristic
1129C22×C4C23×D1111yescharacteristic
1130C22×C4C23×D1111yescharacteristic
1131C22×C4C23×D1111yescharacteristic
1132C22×C4C23×D1111yescharacteristic
1133C22×C4C23×D1111yescharacteristic
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—41no—
1139C4⋊C4—114no—
1140C4⋊C4—114no—
1141C4⋊C4—114no—
1142C4⋊C4—114no—
1143C4⋊C4—114no—
1144C4⋊C4—114no—
1145C4⋊C4—114no—
1146C4⋊C4—114no—
1147C4⋊C4—114no—
1148C4⋊C4—114no—
1149C4⋊C4—114no—
1150C4⋊C4—222no—
1151C4⋊C4—222no—
1152C4⋊C4—222no—
1153C4⋊C4—222no—
1154C4⋊C4—222no—
1155C4⋊C4—222no—
1156C4⋊C4—222no—
1157C4⋊C4—222no—
1158C4⋊C4—222no—
1159C4⋊C4—222no—
1160C4⋊C4—222no—
1161C4⋊C4—222no—
1162C4⋊C4—222no—
1163C4⋊C4—222no—
1164C4⋊C4—441no—
1165C4⋊C4C2×C4×D1114yes—
1166C4⋊C4C2×C4×D1114yes—
1167C4⋊C4C2×C4×D1114yes—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—41no—
1171C22⋊C4—114no—
1172C22⋊C4—114no—
1173C22⋊C4—114no—
1174C22⋊C4—114no—
1175C22⋊C4—114no—
1176C22⋊C4—114no—
1177C22⋊C4—114no—
1178C22⋊C4—222no—
1179C22⋊C4—222no—
1180C22⋊C4—222no—
1181C22⋊C4—222no—
1182C22⋊C4—222no—
1183C22⋊C4—222no—
1184C22⋊C4—441no—
1185C22⋊C4—441no—
1186C22⋊C4—441no—
1187C22⋊C4C2×C4×D1114yes—
1188C22⋊C4C2×C4×D1114yes—
1189C22⋊C4C2×C4×D1114yes—
1190C42—22no—
1191C42—22no—
1192C42—22no—
1193C42—22no—
1194C42—41no—
1195C42—41no—
1196C42—41no—
1197C42—114no—
1198C42—114no—
1199C42—114no—
1200C42—114no—
1201C42—114no—
1202C42—114no—
1203C42—114no—
1204C42—114no—
1205C42—222no—
1206C42—222no—
1207C42—222no—
1208C42—222no—
1209C42—222no—
1210C42—222no—
1211C42—222no—
1212C42—222no—
1213C42—222no—
1214C42—222no—
1215C42—222no—
1216C42—222no—
1217C42—222no—
1218C42—222no—
1219C42—222no—
1220C42—222no—
1221C42—222no—
1222C42—222no—
1223C42—222no—
1224C42—222no—
1225C42—222no—
1226C42—222no—
1227C42—222no—
1228C42—222no—
1229C42—222no—
1230C42—441no—
1231C42—441no—
1232C42—441no—
1233C42—441no—
1234C42C2×C4×D1114yes—
1235C11C4×#55611yescharacteristic, complemented, Sylow
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—112no—
1243C23—221no—
1244C23—221no—
1245C23—221no—
1246C23—221no—
1247C23—221no—
1248C23—221no—
1249C23C22×C4×D1112yes—
1250C23C24×D1111yescharacteristic
1251Q8—228no—
1252Q8—228no—
1253Q8—228no—
1254D4—228no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—44no—
1288C2×C4—112no—
1289C2×C4—112no—
1290C2×C4—112no—
1291C2×C4—112no—
1292C2×C4—112no—
1293C2×C4—112no—
1294C2×C4—112no—
1295C2×C4—112no—
1296C2×C4—112no—
1297C2×C4—112no—
1298C2×C4—112no—
1299C2×C4—112no—
1300C2×C4—112no—
1301C2×C4—112no—
1302C2×C4—112no—
1303C2×C4—112no—
1304C2×C4—228no—
1305C2×C4—228no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—221no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—444no—
1336C2×C4—444no—
1337C2×C4—444no—
1338C2×C4C22×C4×D1112yes—
1339C2×C4C22×C4×D1112yes—
1340C2×C4C22×C4×D1112yes—
1341C2×C4C22×C4×D1112yes—
1342C2×C4C22×C4×D1112yes—
1343C2×C4C22×C4×D1112yes—
1344C2×C4#41×D1112yes—
1345C2×C4#41×D1112yes—
1346C2×C4#41×D1112yes—
1347C2×C4#41×D1112yes—
1348C22—22no—
1349C22—22no—
1350C22—22no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22—222no—
1356C22—222no—
1357C22—222no—
1358C22—441no—
1359C22—441no—
1360C22—441no—
1361C22—441no—
1362C22C23×C4×D1111yescharacteristic
1363C22C2×#41×D1111yescharacteristic
1364C22C2×#41×D1111yescharacteristic
1365C22C2×#41×D1111yescharacteristic
1366C22C2×#41×D1111yescharacteristic
1367C22#1062345511yescharacteristic
1368C22D11×2−1+411yescharacteristic
1369C4—22no—
1370C4—22no—
1371C4—22no—
1372C4—22no—
1373C4—22no—
1374C4—22no—
1375C4—22no—
1376C4—22no—
1377C4—22no—
1378C4—22no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—114no—
1384C4—114no—
1385C4—114no—
1386C4—222no—
1387C4—222no—
1388C4—222no—
1389C4—222no—
1390C4—222no—
1391C4—222no—
1392C4—222no—
1393C4—441no—
1394C4—441no—
1395C4—441no—
1396C4—441no—
1397C4—441no—
1398C2—42no—
1399C2—442no—
1400C2C4×#41×D1111yescharacteristic
1401C2C4×#41×D1111yescharacteristic
1402C2#1308182711yescharacteristic
1403C2D11×#55611yescharacteristic
1404C2#1308217111yescharacteristic
1405C2#1308221011yescharacteristic
1406C2#1308223011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2373C2
socle, cosocleC23×C11C25
prime radicalC22×C22⋊D11C23
hypercenter#2373D11
hypocenterC11C4×#556
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
2. #13071739C2semidirect
3. #13071737C2semidirect
4. #13071730C2semidirect
7. #13071671C2semidirect
8. #13071646C2semidirect
9. #13071644C2semidirect
10. #13071582C2semidirect
11. #13071578C2semidirect
12. #13071570C2semidirect
14. #13071510C2semidirect
15. #13071506C2semidirect
16. #13071187C2semidirect
17. #13071170C2semidirect
18. #126×Dic11C2semidirect
19. #13071166C2semidirect
20. #13071166C2semidirect
23. #13071150C2semidirect
24. #13071148C2semidirect
25. C4×#66940C2semidirect
26. C4×#66940C2semidirect
27. C4×#66940C2semidirect
29. #13070955C2semidirect
30. C4×#66930C2semidirect
31. C11×#2373C2semidirect
35. #10623233C4semidirect
198. C11×#126C2×C4semidirect
302. #66951C2×C4semidirect
303. #66951C2×C4semidirect
304. #66949C2×C4semidirect
305. #66941C2×C4semidirect
310. #66940C2×C4semidirect
311. #66940C2×C4semidirect
316. #66932C2×C4semidirect
317. #66931C2×C4semidirect
319. #66930C2×C4semidirect
321. #66925C2×C4semidirect
325. C4×Dic22C2×C4semidirect
537. #2373D11semidirect
881. Dic11#556semidirect
896. #126C4×D11semidirect
1235. C11C4×#556semidirect

Maximal subgroups

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

subgroupindex
C2×#106232332
#130717392
#130717372
#130717302
#130716882
#130716842
#130716712
#130716462
#130716442
#130715822
#130715782
#130715702
#130715622
#130715102
#130715062
#130711872
#130711702
#126×Dic112
#130711662
#130711572
#130711502
#130711482
C4×#669402
C4×(C22⋊D11)⋊C42
#130709552
C4×#669302
C11×#23732
C4×#55611