Finite Group Databasebeta

← #14917183

Subgroups — #14917183

Order 2816.

2314 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
1C2×#10623057C211yesmaximal, characteristic
2#13071796C211yesmaximal, characteristic, complemented
3#13071787C211yesmaximal, characteristic, complemented
4#13071780C211yesmaximal, characteristic, complemented
5#13071780C211yesmaximal, characteristic, complemented
6#13071726C211yesmaximal, characteristic, complemented
7#13071705C211yesmaximal, characteristic, complemented
8#13071698C211yesmaximal, characteristic, complemented
9#13071698C211yesmaximal, characteristic, complemented
10#13071610C211yesmaximal, characteristic, complemented
11#13071610C211yesmaximal, characteristic, complemented
12#13071606C211yesmaximal, characteristic, complemented
13#13071606C211yesmaximal, characteristic, complemented
14#13071476C211yesmaximal, characteristic, complemented
15#13071443C211yesmaximal, characteristic
16#13071440C211yesmaximal, characteristic
17#13071429C211yesmaximal, characteristic, complemented
18#13071426C211yesmaximal, characteristic, complemented
19#13071368C211yesmaximal, characteristic, complemented
20#13071368C211yesmaximal, characteristic, complemented
21#13071364C211yesmaximal, characteristic, complemented
22#13071362C211yesmaximal, characteristic, complemented
23#13071345C211yesmaximal, characteristic, complemented
24#13071345C211yesmaximal, characteristic, complemented
25#13071287C211yesmaximal, characteristic, complemented
26#13071284C211yesmaximal, characteristic, complemented
27#13071201C211yesmaximal, characteristic, complemented
28C4×#66939C211yesmaximal, characteristic, complemented
29#13071135C211yesmaximal, characteristic, complemented
30C2×#10622259C211yesmaximal, characteristic, complemented
31C11×#2343C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C23×Dic22C2211yescharacteristic
34C2×C11×#117C2211yescharacteristic
35C2×C4×C22⋊D11C2211yescharacteristic
36C2×C4×C22⋊D11C2211yescharacteristic
37C22×Dic11⋊C4C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39#10623057C4116yescomplemented
40C2×#66950C2211yescharacteristic
41C2×#66950C2211yescharacteristic
42C2×#66950C2211yescharacteristic
43C2×#66950C2211yescharacteristic
44C2×#66939C2211yescharacteristic
45C2×#66939C2211yescharacteristic
46C2×#66939C2211yescharacteristic
47C2×#66939C2211yescharacteristic
48C2×(C22⋊D11)⋊C4C2211yescharacteristic
49C2×(C22⋊D11)⋊C4C2211yescharacteristic
50C2×#66930C2211yescharacteristic
51C2×#66930C2211yescharacteristic
52C2×#66928C2211yescharacteristic
53C2×#66928C2211yescharacteristic
54C2×#66922C2211yescharacteristic
55C2×#66922C2211yescharacteristic
56C11×#387C2211yescharacteristic
57C11×#387C2211yescharacteristic
58C11×#387C2211yescharacteristic
59C11×#387C2211yescharacteristic
60C11×#385C2211yescharacteristic
61C11×#385C2211yescharacteristic
62C11×#383C2211yescharacteristic
63C11×#382C2211yescharacteristic
64C11×#381C2211yescharacteristic
65C4×C11×C4⋊C4C2211yescharacteristic
66C4×C11×C22⋊C4C2211yescharacteristic
67C4×C11×C22⋊C4C2211yescharacteristic
68C11×#376C2211yescharacteristic
69C2×C11×#95C2211yescharacteristic
70#10622826C2211yescharacteristic
71#10622826C2211yescharacteristic
72#10622824C2211yescharacteristic
73C2×C11⋊#95C2211yescharacteristic
74C2×C11⋊#95C2211yescharacteristic
75C2×C11⋊#95C2211yescharacteristic
76#10622603C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622594C2211yescharacteristic
85#10622594C2211yescharacteristic
86#10622594C2211yescharacteristic
87#10622594C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92#10622586C2211yescharacteristic
93#10622586C2211yescharacteristic
94#10622586C2211yescharacteristic
95#10622586C2211yescharacteristic
96#10622571C2211yescharacteristic
97#10622571C2211yescharacteristic
98#10622563C2211yescharacteristic
99#10622563C2211yescharacteristic
100#10622556C2211yescharacteristic
101#10622556C2211yescharacteristic
102C22⋊C4×Dic11C2211yescharacteristic
103C22⋊C4×Dic11C2211yescharacteristic
104#10622553C2211yescharacteristic
105#10622553C2211yescharacteristic
106#10622553C2211yescharacteristic
107#10622553C2211yescharacteristic
108C4×(C2×D11)⋊C4C2211yescharacteristic
109C4×(C2×D11)⋊C4C2211yescharacteristic
110C4×(C2×D11)⋊C4C2211yescharacteristic
111C4×(C2×D11)⋊C4C2211yescharacteristic
112#10622550C2211yescharacteristic
113#10622549C2211yescharacteristic
114C4×C4⋊Dic11C2211yescharacteristic
115C4×C4⋊Dic11C2211yescharacteristic
116C4×C4⋊Dic11C2211yescharacteristic
117C4×C4⋊Dic11C2211yescharacteristic
118C4×C4⋊Dic11C2211yescharacteristic
119#10622545C2211yescharacteristic
120#10622541C2211yescharacteristic
121#10622541C2211yescharacteristic
122#10622541C2211yescharacteristic
123#10622541C2211yescharacteristic
124#10622283C2211yescharacteristic
125#10622283C2211yescharacteristic
126#10622283C2211yescharacteristic
127#10622283C2211yescharacteristic
128#10622282C2211yescharacteristic
129#10622282C2211yescharacteristic
130#10622282C2211yescharacteristic
131#10622282C2211yescharacteristic
132#10622281C2211yescharacteristic
133#10622281C2211yescharacteristic
134#10622281C2211yescharacteristic
135#10622281C2211yescharacteristic
136#10622280C2211yescharacteristic
137#10622280C2211yescharacteristic
138#10622279C2211yescharacteristic
139#10622279C2211yescharacteristic
140#10622279C2211yescharacteristic
141#10622279C2211yescharacteristic
142#10622279C2211yescharacteristic
143#10622279C2211yescharacteristic
144#10622278C2211yescharacteristic
145#10622278C2211yescharacteristic
146#10622278C2211yescharacteristic
147#10622278C2211yescharacteristic
148#10622277C2211yescharacteristic
149#10622277C2211yescharacteristic
150D11×#95C2211yescharacteristic
151D11×#95C2211yescharacteristic
152#10622267C2211yescharacteristic
153#10622267C2211yescharacteristic
154#10622267C2211yescharacteristic
155#10622267C2211yescharacteristic
156#10622267C2211yescharacteristic
157#10622267C2211yescharacteristic
158#10622267C2211yescharacteristic
159#10622267C2211yescharacteristic
160#10622266C2211yescharacteristic
161#10622266C2211yescharacteristic
162#10622266C2211yescharacteristic
163#10622266C2211yescharacteristic
164#10622266C2211yescharacteristic
165#10622266C2211yescharacteristic
166#10622266C2211yescharacteristic
167#10622266C2211yescharacteristic
168#10622259C2211yescharacteristic
169#10622259C2211yescharacteristic
170#10622259C2211yescharacteristic
171#10622259C2211yescharacteristic
172#10622259C2211yescharacteristic
173#10622259C2211yescharacteristic
174#10622259C2211yescharacteristic
175#10622259C2211yescharacteristic
176#10622259C2211yescharacteristic
177#10622259C2211yescharacteristic
178#10622259C2211yescharacteristic
179#10622259C2211yescharacteristic
180#10622259C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C2×#4339—42no—
198C2×#4339—42no—
199C2×#4339C2×C418yes—
200C22×D44C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×Dic22—42no—
208C22×Dic22—42no—
209C22×Dic22C2×C418yescomplemented
210C22×Dic22C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C11×#117C2×C418yescomplemented
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C4×C22⋊D11—42no—
235C4×C22⋊D11—42no—
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×Dic11⋊C4—42no—
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×C4×Dic11—42no—
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
298#66950C2×C418yescomplemented
299#66950C2×C418yescomplemented
300#66950C2×C418yescomplemented
301#66950C2×C418yescomplemented
302#66939C2×C418yescomplemented
303#66939C2×C418yescomplemented
304#66939C2×C418yescomplemented
305#66939C2×C418yescomplemented
306(C22⋊D11)⋊C4—42no—
307(C22⋊D11)⋊C4—42no—
308#66930—42no—
309#66930—42no—
310#66928C2×C418yescomplemented
311#66928C2×C418yescomplemented
312#66922C2×C418yescomplemented
313#66922C2×C418yescomplemented
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
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370#34409—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C22×C4×C11—22no—
375C22×C4×C11—22no—
376C22×C4×C11—22no—
377C22×C4×C11—22no—
378C22×C4×C11—22no—
379C22×C4×C11—41no—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11C22×C414yes—
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C2×C22⋊D11—22no—
398C2×C22⋊D11—22no—
399C2×C22⋊D11—22no—
400C2×C22⋊D11—22no—
401C2×C22⋊D11C22×C414yes—
402C2×C22⋊D11C22×C414yes—
403C22×Dic11—22no—
404C22×Dic11—22no—
405C22×Dic11—22no—
406C22×Dic11—22no—
407C22×Dic11—22no—
408C22×Dic11—22no—
409C22×Dic11—22no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11C22×C414yes—
414C22×Dic11C22×C414yes—
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429#4339—416no—
430C2×D44—41no—
431C2×D44—41no—
432C2×D44C22×C414yes—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×C4×D11—41no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11C22×C414yes—
450C2×C4×D11C22×C414yes—
451C2×Dic22—416no—
452C2×Dic22—41no—
453C2×Dic22—41no—
454C2×Dic22—41no—
455C2×Dic22—41no—
456C2×Dic22—41no—
457C2×Dic22—41no—
458C2×Dic22—41no—
459C2×Dic22—41no—
460C2×Dic22—41no—
461C2×Dic22—41no—
462C2×Dic22C22×C414yes—
463C2×Dic22C22×C414yes—
464C2×Dic22C22×C414yes—
465C2×Dic22C22×C414yes—
466C2×Dic22C22×C414yes—
467C11×C4⋊C4—22no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4—41no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4C22×C414yes—
472C11×C4⋊C4C22×C414yes—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—22no—
475C11×C22⋊C4C22×C414yes—
476C11×C22⋊C4C22×C414yes—
477C42×C11—22no—
478C42×C11—41no—
479C42×C11—41no—
480C42×C11—41no—
481C42×C11C22×C414yes—
482C42×C11C22×C414yes—
483C22⋊Dic11—22no—
484C22⋊Dic11—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—
496(C2×D11)⋊C4—41no—
497(C2×D11)⋊C4C22×C414yes—
498(C2×D11)⋊C4C22×C414yes—
499(C2×D11)⋊C4C22×C414yes—
500(C2×D11)⋊C4C22×C414yes—
501(C2×D11)⋊C4C22×C414yes—
502(C2×D11)⋊C4C22×C414yes—
503(C2×D11)⋊C4C22×C414yes—
504(C2×D11)⋊C4C22×C414yes—
505C4⋊Dic11—22no—
506C4⋊Dic11—41no—
507C4⋊Dic11—41no—
508C4⋊Dic11—41no—
509C4⋊Dic11C22×C414yes—
510C4⋊Dic11C22×C414yes—
511C4⋊Dic11C22×C414yes—
512C4⋊Dic11C22×C414yes—
513C4⋊Dic11C22×C414yes—
514C4⋊Dic11C22×C414yes—
515C4⋊Dic11C22×C414yes—
516C4⋊Dic11C22×C414yes—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529C4×Dic11—22no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539C4×Dic11—41no—
540C4×Dic11—41no—
541C4×Dic11—41no—
542C4×Dic11—41no—
543C4×Dic11—41no—
544C4×Dic11—41no—
545C2×#536—111no—
546#2381—111no—
547#2379—111no—
548#2378—111no—
549#2378—111no—
550#2372—111no—
551#2369—111no—
552#2368—111no—
553#2368—111no—
554#2359—111no—
555#2359—111no—
556#2359—111no—
557#2359—111no—
558#2343—111no—
559#2343D1111yescharacteristic, complemented
560#2339—111no—
561#2339—111no—
562#2337—111no—
563#2337—111no—
564#2332—111no—
565#2332—111no—
566#2331—111no—
567#2331—111no—
568#2329—111no—
569#2329—111no—
570#2322—111no—
571#2322—111no—
572#2310—111no—
573C4×#123—111no—
574C4×#123—111no—
575C2×#391—111no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—21no—
580C23×C11C23×C412yes—
581C23×C11H(5,𝔽2)12yes—
582C23×C11H(5,𝔽2)12yes—
583C23×C11C2511yescharacteristic
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11C23×C412yes—
597C22×D11C23×C412yes—
598C2×C4×C11—28no—
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—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—44no—
635C2×C4×C11—82no—
636C2×C4×C11C23×C412yes—
637C2×C4×C11C23×C412yes—
638C2×C4×C11C23×C412yes—
639C2×C4×C11C23×C412yes—
640C2×C4×C11C23×C412yes—
641C2×C4×C11C23×C412yes—
642C2×C4×C112−1+412yes—
643C22⋊D11—28no—
644C22⋊D11—28no—
645C2×Dic11—28no—
646C2×Dic11—28no—
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—21no—
682C2×Dic11—44no—
683C2×Dic11—82no—
684C2×Dic11C23×C412yes—
685C2×Dic11C23×C412yes—
686C2×Dic11C23×C412yes—
687C2×Dic11C23×C412yes—
688C2×Dic11C23×C412yes—
689C2×Dic11C23×C412yes—
690C2×Dic112−1+412yes—
691D44—44no—
692C4×D11—44no—
693C4×D11—44no—
694C4×D11—82no—
695C4×D11—82no—
696C4×D11—82no—
697C4×D11—82no—
698Dic22—44no—
699Dic22—44no—
700Dic22—44no—
701Dic22—44no—
702Dic22—44no—
703C22×#41—111no—
704C23×Q8—111no—
705#536—1116no—
706C2×C4⋊Q8—111no—
707C2×C4⋊Q8—111no—
708C2×#124—111no—
709C2×#124—111no—
710C2×#123—111no—
711C2×#123—111no—
712C2×#123—111no—
713C2×#123—111no—
714C2×C22⋊Q8—111no—
715C2×C22⋊Q8—111no—
716C2×C22⋊Q8—111no—
717C2×C22⋊Q8—111no—
718C2×C4×D4—111no—
719C2×C4×D4—111no—
720C2×C4×D4—111no—
721C2×C4×D4—111no—
722C2×#117—111no—
723C2×#117—111no—
724C2×#117C2×D1111yescharacteristic
725C22×C4⋊C4—111no—
726C22×C42—111no—
727#391—111no—
728#391—111no—
729#391—111no—
730#391—111no—
731#391—111no—
732#391—111no—
733#391—111no—
734#391—111no—
735#391—111no—
736#391—111no—
737#391—111no—
738#391—111no—
739#391—111no—
740#391—111no—
741#391—111no—
742#391—111no—
743#391—111no—
744#391—111no—
745#391—111no—
746#391—111no—
747#389—111no—
748#389—111no—
749#389—111no—
750#389—111no—
751#389—111no—
752#389—111no—
753#389—111no—
754#389—111no—
755#388—111no—
756#388—111no—
757#388—111no—
758#388—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387—111no—
791#387C2×D1111yescharacteristic
792#387C2×D1111yescharacteristic
793#387C2×D1111yescharacteristic
794#387C2×D1111yescharacteristic
795#386—111no—
796#386—111no—
797#386—111no—
798#386—111no—
799#386—111no—
800#386—111no—
801#386—111no—
802#386—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#385—111no—
809#385—111no—
810#385—111no—
811#385—111no—
812#385—111no—
813#385C2×D1111yescharacteristic
814#385C2×D1111yescharacteristic
815#383—111no—
816#383C2×D1111yescharacteristic
817#382—111no—
818#382C2×D1111yescharacteristic
819#381—111no—
820#381—111no—
821#381—111no—
822#381—111no—
823#381—111no—
824#381C2×D1111yescharacteristic
825#380—111no—
826#380—111no—
827C4×C4⋊C4—111no—
828C4×C4⋊C4—111no—
829C4×C4⋊C4—111no—
830C4×C4⋊C4—111no—
831C4×C4⋊C4—111no—
832C4×C4⋊C4—111no—
833C4×C4⋊C4—111no—
834C4×C4⋊C4—111no—
835C4×C4⋊C4—111no—
836C4×C4⋊C4C2×D1111yescharacteristic
837C4×C22⋊C4—111no—
838C4×C22⋊C4—111no—
839C4×C22⋊C4—111no—
840C4×C22⋊C4—111no—
841C4×C22⋊C4—111no—
842C4×C22⋊C4—111no—
843C4×C22⋊C4—111no—
844C4×C22⋊C4—111no—
845C4×C22⋊C4—111no—
846C4×C22⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C4×C22⋊C4C2×D1111yescharacteristic
850C4×C22⋊C4C2×D1111yescharacteristic
851#376—111no—
852#376C2×D1111yescharacteristic
853C2×#95—111no—
854C2×#95—111no—
855C2×#95—111no—
856C2×#95—111no—
857C2×#95—111no—
858C2×#95C2×D1111yescharacteristic
859C22×C11—22no—
860C22×C11—22no—
861C22×C11—22no—
862C22×C11—22no—
863C22×C11—22no—
864C22×C11—22no—
865C22×C11#51814yes—
866C22×C11C24×C411yescharacteristic
867C22×C11C2×H(5,𝔽2)11yescharacteristic
868C22×C11C2×H(5,𝔽2)11yescharacteristic
869C22×C11C2×2−1+411yescharacteristic
870C22×C11C2×2−1+411yescharacteristic
871C22×C11#58511yescharacteristic
872C22×C11#58511yescharacteristic
873C2×D11—22no—
874C2×D11—22no—
875C2×D11—22no—
876C2×D11—22no—
877C2×D11—22no—
878C2×D11—22no—
879C2×D11—41no—
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C2×D11—41no—
884C2×D11—41no—
885C2×D11—41no—
886C2×D11—41no—
887C4×C11—22no—
888C4×C11—22no—
889C4×C11—22no—
890C4×C11—22no—
891C4×C11—22no—
892C4×C11—22no—
893C4×C11—22no—
894C4×C11—41no—
895C4×C11—41no—
896C4×C11—41no—
897C4×C11—41no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901Dic11—22no—
902Dic11—22no—
903Dic11—22no—
904Dic11—22no—
905Dic11—22no—
906Dic11—22no—
907Dic11—22no—
908Dic11—41no—
909Dic11—41no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915C2×#41—118no—
916C2×#41—442no—
917C2×#41—442no—
918C22×Q8—118no—
919C22×Q8—111no—
920C22×Q8—111no—
921C22×Q8—111no—
922C22×Q8—111no—
923C22×Q8—111no—
924C22×Q8—442no—
925C22×Q8—442no—
926C22×D4—111no—
927C22×D4—111no—
928C22×D4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4C22×D1111yescharacteristic
940C23×C4C22×D1111yescharacteristic
941C23×C4C22×D1111yescharacteristic
942C4⋊Q8—118no—
943C4⋊Q8—118no—
944#124—118no—
945#124—118no—
946#123—118no—
947#123—118no—
948#123—118no—
949#123—118no—
950C22⋊Q8—118no—
951C22⋊Q8—118no—
952C22⋊Q8—118no—
953C22⋊Q8—118no—
954C4×D4—442no—
955C4×D4—442no—
956C4×D4—442no—
957C4×D4—442no—
958#117—442no—
959#117—442no—
960#117C4×D1118yescomplemented
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⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—442no—
986C2×C4⋊C4C22×D1111yescharacteristic
987C2×C4⋊C4C22×D1111yescharacteristic
988C2×C4⋊C4C22×D1111yescharacteristic
989C2×C4⋊C4C22×D1111yescharacteristic
990C2×C4⋊C4C22×D1111yescharacteristic
991C2×C4⋊C4C22×D1111yescharacteristic
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×C42—111no—
1019C2×C42—111no—
1020C2×C42—111no—
1021C2×C42—111no—
1022C2×C42—111no—
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—111no—
1034C2×C42—442no—
1035C2×C42C22×D1111yescharacteristic
1036C2×C42C22×D1111yescharacteristic
1037C2×C42C22×D1111yescharacteristic
1038C2×C42C22×D1111yescharacteristic
1039C2×C42C22×D1111yescharacteristic
1040C2×C42C22×D1111yescharacteristic
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#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95C22×D1111yescharacteristic
1082#95C22×D1111yescharacteristic
1083#95C22×D1111yescharacteristic
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095#95C22×D1111yescharacteristic
1096#95C22×D1111yescharacteristic
1097C2×C11—24no—
1098C2×C11C2×#51811yescharacteristic
1099C2×C11C4×2−1+411yescharacteristic
1100C2×C11C4×2−1+411yescharacteristic
1101C2×C11#353511yescharacteristic
1102C2×C11#353511yescharacteristic
1103C2×C11#354411yescharacteristic
1104C2×C11#354511yescharacteristic
1105D11—42no—
1106D11—42no—
1107C24—111no—
1108C24—111no—
1109C24C23×D1111yescharacteristic
1110#41—4416no—
1111C2×Q8—114no—
1112C2×Q8—114no—
1113C2×Q8—114no—
1114C2×Q8—114no—
1115C2×Q8—114no—
1116C2×Q8—4416no—
1117C2×Q8—441no—
1118C2×Q8—441no—
1119C2×Q8—441no—
1120C2×Q8—441no—
1121C2×Q8—441no—
1122C2×Q8—441no—
1123C2×Q8—441no—
1124C2×Q8—441no—
1125C2×Q8—441no—
1126C2×Q8—441no—
1127C2×D4—114no—
1128C2×D4—114no—
1129C2×D4—114no—
1130C2×D4—222no—
1131C2×D4—222no—
1132C2×D4—222no—
1133C2×D4—222no—
1134C2×D4—441no—
1135C2×D4—441no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—114no—
1145C22×C4—114no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—111no—
1153C22×C4—114no—
1154C22×C4—114no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—111no—
1159C22×C4—111no—
1160C22×C4—111no—
1161C22×C4—111no—
1162C22×C4—222no—
1163C22×C4—222no—
1164C22×C4—222no—
1165C22×C4—222no—
1166C22×C4—222no—
1167C22×C4—222no—
1168C22×C4—222no—
1169C22×C4—222no—
1170C22×C4—222no—
1171C22×C4—441no—
1172C22×C4—441no—
1173C22×C4—441no—
1174C22×C4—441no—
1175C22×C4—441no—
1176C22×C4—441no—
1177C22×C4—441no—
1178C22×C4—441no—
1179C22×C4—441no—
1180C22×C4—441no—
1181C22×C4—441no—
1182C22×C4—441no—
1183C22×C4—441no—
1184C22×C4—441no—
1185C22×C4—441no—
1186C22×C4—441no—
1187C22×C4—441no—
1188C22×C4C2×C4×D1114yes—
1189C22×C4C23×D1111yescharacteristic
1190C22×C4C23×D1111yescharacteristic
1191C22×C4C23×D1111yescharacteristic
1192C22×C4C23×D1111yescharacteristic
1193C22×C4C23×D1111yescharacteristic
1194C22×C4C23×D1111yescharacteristic
1195C22×C4C23×D1111yescharacteristic
1196C22×C4C23×D1111yescharacteristic
1197C22×C4C23×D1111yescharacteristic
1198C22×C4C23×D1111yescharacteristic
1199C22×C4C23×D1111yescharacteristic
1200C22×C4C23×D1111yescharacteristic
1201C22×C4C23×D1111yescharacteristic
1202C22×C4C23×D1111yescharacteristic
1203C4⋊C4—22no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—114no—
1208C4⋊C4—114no—
1209C4⋊C4—114no—
1210C4⋊C4—114no—
1211C4⋊C4—114no—
1212C4⋊C4—114no—
1213C4⋊C4—114no—
1214C4⋊C4—114no—
1215C4⋊C4—222no—
1216C4⋊C4—441no—
1217C4⋊C4—441no—
1218C4⋊C4—441no—
1219C4⋊C4—441no—
1220C4⋊C4—441no—
1221C4⋊C4—441no—
1222C4⋊C4—441no—
1223C4⋊C4—441no—
1224C4⋊C4—441no—
1225C4⋊C4—441no—
1226C4⋊C4—441no—
1227C4⋊C4—441no—
1228C4⋊C4—441no—
1229C4⋊C4—441no—
1230C4⋊C4—441no—
1231C4⋊C4C2×C4×D1114yes—
1232C4⋊C4C2×C4×D1114yes—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—114no—
1236C22⋊C4—114no—
1237C22⋊C4—114no—
1238C22⋊C4—114no—
1239C22⋊C4—114no—
1240C22⋊C4—114no—
1241C22⋊C4—114no—
1242C22⋊C4—114no—
1243C22⋊C4—222no—
1244C22⋊C4—222no—
1245C22⋊C4—222no—
1246C22⋊C4—222no—
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—
1256C22⋊C4—441no—
1257C22⋊C4C2×C4×D1114yes—
1258C22⋊C4C2×C4×D1114yes—
1259C42—22no—
1260C42—41no—
1261C42—41no—
1262C42—41no—
1263C42—222no—
1264C42—441no—
1265C42—441no—
1266C42—441no—
1267C42—441no—
1268C42—441no—
1269C42—441no—
1270C42—441no—
1271C42—441no—
1272C42—441no—
1273C42—441no—
1274C42—441no—
1275C42—441no—
1276C42—441no—
1277C42—441no—
1278C42—441no—
1279C42C2×C4×D1114yes—
1280C42C2×C4×D1114yes—
1281C11#3440911yescharacteristic, complemented, Sylow
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—112no—
1287C23—112no—
1288C23—221no—
1289C23—221no—
1290C23—221no—
1291C23—221no—
1292C23—221no—
1293C23—221no—
1294C23—221no—
1295C23—221no—
1296C23—221no—
1297C23—221no—
1298C23—221no—
1299C23—221no—
1300C23C22×C4×D1112yes—
1301C23#6704212yes—
1302C23#6704212yes—
1303C23C24×D1111yescharacteristic
1304Q8—444no—
1305Q8—444no—
1306Q8—444no—
1307Q8—444no—
1308Q8—444no—
1309D4—228no—
1310D4—228no—
1311D4—444no—
1312C2×C4—28no—
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—82no—
1350C2×C4—112no—
1351C2×C4—112no—
1352C2×C4—112no—
1353C2×C4—112no—
1354C2×C4—112no—
1355C2×C4—112no—
1356C2×C4—112no—
1357C2×C4—228no—
1358C2×C4—228no—
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—221no—
1394C2×C4—444no—
1395C2×C4—444no—
1396C2×C4—444no—
1397C2×C4—882no—
1398C2×C4—882no—
1399C2×C4—882no—
1400C2×C4—882no—
1401C2×C4—882no—
1402C2×C4C22×C4×D1112yes—
1403C2×C4C22×C4×D1112yes—
1404C2×C4C22×C4×D1112yes—
1405C2×C4C22×C4×D1112yes—
1406C2×C4C22×C4×D1112yes—
1407C2×C4C22×C4×D1112yes—
1408C2×C4#6704312yes—
1409C22—22no—
1410C22—22no—
1411C22—22no—
1412C22—22no—
1413C22—22no—
1414C22—22no—
1415C22—222no—
1416C22—222no—
1417C22—222no—
1418C22—222no—
1419C22—222no—
1420C22—222no—
1421C22—441no—
1422C22—441no—
1423C22—441no—
1424C22—441no—
1425C22—441no—
1426C22—441no—
1427C22—441no—
1428C22—441no—
1429C22#1062305214yes—
1430C22C23×C4×D1111yescharacteristic
1431C22C2×#6704211yescharacteristic
1432C22C2×#6704211yescharacteristic
1433C22C2×#6704311yescharacteristic
1434C22#1062345311yescharacteristic
1435C22#1062345511yescharacteristic
1436C22D11×2−1+411yescharacteristic
1437C4—22no—
1438C4—22no—
1439C4—22no—
1440C4—22no—
1441C4—22no—
1442C4—22no—
1443C4—22no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—222no—
1452C4—222no—
1453C4—222no—
1454C4—222no—
1455C4—222no—
1456C4—222no—
1457C4—222no—
1458C4—441no—
1459C4—441no—
1460C4—441no—
1461C4—441no—
1462C4—441no—
1463C4—441no—
1464C4—441no—
1465C2—24no—
1466C2—442no—
1467C2—442no—
1468C2C2×#1062305211yescharacteristic
1469C2C4×#6704311yescharacteristic
1470C2#1308182711yescharacteristic
1471C2#1308282111yescharacteristic
1472C2#1308282811yescharacteristic
1473C2#1308295811yescharacteristic
1474C2#1308297211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2343C2
socle, cosocleC23×C11C25
prime radicalC22×#4339C22
hypercenter#2343D11
hypocenterC11#34409
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2343

Complements

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

NH ≅ G/Ntype
2. #13071796C2semidirect
3. #13071787C2semidirect
4. #13071780C2semidirect
5. #13071780C2semidirect
6. #13071726C2semidirect
7. #13071705C2semidirect
8. #13071698C2semidirect
9. #13071698C2semidirect
10. #13071610C2semidirect
11. #13071610C2semidirect
12. #13071606C2semidirect
13. #13071606C2semidirect
14. #13071476C2semidirect
17. #13071429C2semidirect
18. #13071426C2semidirect
19. #13071368C2semidirect
20. #13071368C2semidirect
21. #13071364C2semidirect
22. #13071362C2semidirect
23. #13071345C2semidirect
24. #13071345C2semidirect
25. #13071287C2semidirect
26. #13071284C2semidirect
27. #13071201C2semidirect
28. C4×#66939C2semidirect
29. #13071135C2semidirect
30. C2×#10622259C2semidirect
31. C11×#2343C2semidirect
39. #10623057C4semidirect
209. C22×Dic22C2×C4semidirect
215. C11×#117C2×C4semidirect
298. #66950C2×C4semidirect
299. #66950C2×C4semidirect
300. #66950C2×C4semidirect
301. #66950C2×C4semidirect
302. #66939C2×C4semidirect
303. #66939C2×C4semidirect
304. #66939C2×C4semidirect
305. #66939C2×C4semidirect
310. #66928C2×C4semidirect
311. #66928C2×C4semidirect
312. #66922C2×C4semidirect
313. #66922C2×C4semidirect
559. #2343D11semidirect
960. #117C4×D11semidirect
1281. C11#34409semidirect

Maximal subgroups

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

subgroupindex
C2×#106230572
#130717962
#130717872
#130717802
#130717262
#130717052
#130716982
#130716102
#130716062
#130714762
#130714432
#130714402
#130714292
#130714262
#130713682
#130713642
#130713622
#130713452
#130712872
#130712842
#130712012
C4×#669392
#130711352
C2×#106222592
C11×#23432
#3440911