Finite Group Databasebeta

← #14917047

Subgroups — #14917047

Order 2816.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1436 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623180C211yesmaximal, characteristic
2#13071807C211yesmaximal, characteristic, complemented
3#13071806C211yesmaximal, characteristic, complemented
4#13071804C211yesmaximal, characteristic, complemented
5#13071803C211yesmaximal, characteristic, complemented
6#13071612C211yesmaximal, characteristic, complemented
7#13071608C211yesmaximal, characteristic, complemented
8#13071604C211yesmaximal, characteristic, complemented
9#13071554C211yesmaximal, characteristic, complemented
10#13071550C211yesmaximal, characteristic, complemented
11#13071522C211yesmaximal, characteristic, complemented
12#13071521C211yesmaximal, characteristic, complemented
13#13071506C211yesmaximal, characteristic, complemented
14#13071505C211yesmaximal, characteristic, complemented
15#13071475C211yesmaximal, characteristic, complemented
16#13071470C211yesmaximal, characteristic, complemented
17#13071427C211yesmaximal, characteristic, complemented
18#13071424C211yesmaximal, characteristic, complemented
19#13071418C211yesmaximal, characteristic, complemented
20#13071415C211yesmaximal, characteristic, complemented
21#13071347C211yesmaximal, characteristic, complemented
22#13071344C211yesmaximal, characteristic, complemented
23#13071317C211yesmaximal, characteristic
24#13071314C211yesmaximal, characteristic
25#13071265C211yesmaximal, characteristic, complemented
26#13071263C211yesmaximal, characteristic, complemented
27#13071246C211yesmaximal, characteristic, complemented
28#13071244C211yesmaximal, characteristic, complemented
29#13071019C211yesmaximal, characteristic, complemented
30C2×#10622264C211yesmaximal, characteristic, complemented
31C11×#2359C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C11×#117C2211yescharacteristic
35C2×#66992C2211yescharacteristic
36C2×D4×Dic11C2211yescharacteristic
37C2×D4×Dic11C2211yescharacteristic
38C2×#66982C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×#66979C2211yescharacteristic
41C22×C4×Dic11C2211yescharacteristic
42#10623180C4116yescomplemented
43C2×#66951C2211yescharacteristic
44C2×#66945C2211yescharacteristic
45C2×#66942C2211yescharacteristic
46C2×#66940C2211yescharacteristic
47C2×#66938C2211yescharacteristic
48C2×(C22⋊D11)⋊C4C2211yescharacteristic
49C2×(C22⋊D11)⋊C4C2211yescharacteristic
50C2×(C22⋊D11)⋊C4C2211yescharacteristic
51C2×#66932C2211yescharacteristic
52C2×#66931C2211yescharacteristic
53C2×#66930C2211yescharacteristic
54C11×#389C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#387C2211yescharacteristic
58C11×#387C2211yescharacteristic
59C11×#386C2211yescharacteristic
60C11×#385C2211yescharacteristic
61C11×#385C2211yescharacteristic
62C4×C11×C4⋊C4C2211yescharacteristic
63C4×C11×C22⋊C4C2211yescharacteristic
64C4×C11×C22⋊C4C2211yescharacteristic
65C2×C11×#95C2211yescharacteristic
66#10622833C2211yescharacteristic
67#10622826C2211yescharacteristic
68#10622826C2211yescharacteristic
69#10622823C2211yescharacteristic
70#10622823C2211yescharacteristic
71#10622823C2211yescharacteristic
72C4×C22⋊Dic11C2211yescharacteristic
73C2×C11⋊#95C2211yescharacteristic
74C2×C11⋊#95C2211yescharacteristic
75C2×C11⋊#95C2211yescharacteristic
76C2×C11⋊#95C2211yescharacteristic
77C2×C11⋊#95C2211yescharacteristic
78C2×C11⋊#95C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622600C2211yescharacteristic
84#10622598C2211yescharacteristic
85#10622594C2211yescharacteristic
86#10622594C2211yescharacteristic
87#10622591C2211yescharacteristic
88#10622591C2211yescharacteristic
89#10622591C2211yescharacteristic
90#10622590C2211yescharacteristic
91#10622590C2211yescharacteristic
92#10622590C2211yescharacteristic
93#10622589C2211yescharacteristic
94#10622589C2211yescharacteristic
95C4⋊C4×Dic11C2211yescharacteristic
96C4⋊C4×Dic11C2211yescharacteristic
97#10622587C2211yescharacteristic
98#10622586C2211yescharacteristic
99#10622586C2211yescharacteristic
100#10622585C2211yescharacteristic
101#10622585C2211yescharacteristic
102#10622585C2211yescharacteristic
103#10622571C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622564C2211yescharacteristic
109#10622563C2211yescharacteristic
110#10622563C2211yescharacteristic
111#10622559C2211yescharacteristic
112#10622559C2211yescharacteristic
113#10622559C2211yescharacteristic
114#10622558C2211yescharacteristic
115#10622558C2211yescharacteristic
116#10622557C2211yescharacteristic
117#10622557C2211yescharacteristic
118#10622556C2211yescharacteristic
119#10622555C2211yescharacteristic
120#10622555C2211yescharacteristic
121#10622555C2211yescharacteristic
122#10622555C2211yescharacteristic
123#10622555C2211yescharacteristic
124C22⋊C4×Dic11C2211yescharacteristic
125C22⋊C4×Dic11C2211yescharacteristic
126C22⋊C4×Dic11C2211yescharacteristic
127C22⋊C4×Dic11C2211yescharacteristic
128#10622553C2211yescharacteristic
129#10622553C2211yescharacteristic
130#10622553C2211yescharacteristic
131C4×(C2×D11)⋊C4C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic
133#10622546C2211yescharacteristic
134#10622546C2211yescharacteristic
135#10622546C2211yescharacteristic
136#10622546C2211yescharacteristic
137#10622546C2211yescharacteristic
138#10622545C2211yescharacteristic
139C4×Dic11⋊C4C2211yescharacteristic
140C4×Dic11⋊C4C2211yescharacteristic
141C4×Dic11⋊C4C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C4×Dic11⋊C4C2211yescharacteristic
144C4×Dic11⋊C4C2211yescharacteristic
145#10622542C2211yescharacteristic
146#10622541C2211yescharacteristic
147#10622541C2211yescharacteristic
148#10622283C2211yescharacteristic
149#10622282C2211yescharacteristic
150#10622282C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622277C2211yescharacteristic
157D11×#95C2211yescharacteristic
158#10622268C2211yescharacteristic
159#10622268C2211yescharacteristic
160#10622268C2211yescharacteristic
161#10622267C2211yescharacteristic
162#10622267C2211yescharacteristic
163#10622266C2211yescharacteristic
164#10622266C2211yescharacteristic
165#10622265C2211yescharacteristic
166#10622265C2211yescharacteristic
167#10622265C2211yescharacteristic
168#10622265C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622264C2211yescharacteristic
171#10622264C2211yescharacteristic
172#10622264C2211yescharacteristic
173#10622264C2211yescharacteristic
174#10622264C2211yescharacteristic
175#10622264C2211yescharacteristic
176#10622264C2211yescharacteristic
177#10622264C2211yescharacteristic
178#10622264C2211yescharacteristic
179#10622264C2211yescharacteristic
180#10622263C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622261C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×Dic22C2311yescharacteristic
205C11×#123C2×C418yescomplemented
206C4×D4×C11—42no—
207C11×#117—42no—
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×C4⋊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×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236#66992C2×C418yes—
237D4×Dic11—42no—
238D4×Dic11C2×C418yescomplemented
239#66982C2×C418yescomplemented
240C4×C22⋊D11—42no—
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
251#66979—42no—
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2×C418yescomplemented
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
297#66951C2×C418yescomplemented
298#66945C2×C418yescomplemented
299#66942C2×C418yescomplemented
300#66940C2×C418yescomplemented
301#66938C2×C418yescomplemented
302(C22⋊D11)⋊C4—42no—
303(C22⋊D11)⋊C4C2×C418yescomplemented
304(C22⋊D11)⋊C4C2×C418yescomplemented
305#66932C2×C418yescomplemented
306#66931C2×C418yescomplemented
307#66930C2×C418yescomplemented
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364#34401—111nomaximal, Sylow
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C2×D4×C11—22no—
369C2×D4×C11—22no—
370C2×D4×C11C22×C414yes—
371C22×C4×C11—22no—
372C22×C4×C11—22no—
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—41no—
376C22×C4×C11—41no—
377C22×C4×C11—41no—
378C22×C4×C11—41no—
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
396C2×C22⋊D11—22no—
397C2×C22⋊D11—22no—
398C2×C22⋊D11—41no—
399C2×C22⋊D11—41no—
400C2×C22⋊D11C22×C414yes—
401C2×C22⋊D11C22×C414yes—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—41no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11—41no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11—41no—
414C22×Dic11—41no—
415C22×Dic11—41no—
416C22×Dic11—41no—
417C22×Dic11C22×C414yes—
418C22×Dic11C22×C414yes—
419C22×Dic11C22×C414yes—
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
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×D11C22×C414yes—
444C2×Dic22—41no—
445C2×Dic22—41no—
446C2×Dic22C22×C414yes—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C4⋊C4—41no—
450C11×C4⋊C4—41no—
451C11×C4⋊C4—41no—
452C11×C4⋊C4C22×C414yes—
453C11×C4⋊C4C22×C414yes—
454C11×C22⋊C4—22no—
455C11×C22⋊C4—22no—
456C11×C22⋊C4—41no—
457C11×C22⋊C4—41no—
458C11×C22⋊C4—41no—
459C11×C22⋊C4C22×C414yes—
460C11×C22⋊C4C22×C414yes—
461C11×C22⋊C4C22×C414yes—
462C42×C11—41no—
463C42×C11—41no—
464C42×C11—41no—
465C42×C11—41no—
466C42×C11—41no—
467C22⋊Dic11—22no—
468C22⋊Dic11—22no—
469C22⋊Dic11—41no—
470C22⋊Dic11—41no—
471C22⋊Dic11—41no—
472C22⋊Dic11C22×C414yes—
473C22⋊Dic11C22×C414yes—
474C22⋊Dic11C22×C414yes—
475(C2×D11)⋊C4—41no—
476(C2×D11)⋊C4—41no—
477(C2×D11)⋊C4—41no—
478(C2×D11)⋊C4—41no—
479(C2×D11)⋊C4—41no—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4C22×C414yes—
482(C2×D11)⋊C4C22×C414yes—
483(C2×D11)⋊C4C22×C414yes—
484(C2×D11)⋊C4C22×C414yes—
485C4⋊Dic11—41no—
486C4⋊Dic11—41no—
487C4⋊Dic11—41no—
488C4⋊Dic11—41no—
489C4⋊Dic11—41no—
490C4⋊Dic11C22×C414yes—
491C4⋊Dic11C22×C414yes—
492Dic11⋊C4—41no—
493Dic11⋊C4—41no—
494Dic11⋊C4—41no—
495Dic11⋊C4—41no—
496Dic11⋊C4—41no—
497Dic11⋊C4—41no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4C22×C414yes—
507Dic11⋊C4C22×C414yes—
508Dic11⋊C4C22×C414yes—
509Dic11⋊C4C22×C414yes—
510Dic11⋊C4C22×C414yes—
511Dic11⋊C4C22×C414yes—
512C4×Dic11—41no—
513C4×Dic11—41no—
514C4×Dic11—41no—
515C4×Dic11—41no—
516C4×Dic11—41no—
517C4×Dic11—41no—
518C4×Dic11—41no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11C22×C414yes—
524C4×Dic11C22×C414yes—
525C4×Dic11C22×C414yes—
526C4×Dic11C22×C414yes—
527C4×Dic11C22×C414yes—
528C4×Dic11C22×C414yes—
529C2×#529—111no—
530#2383—111no—
531#2383—111no—
532#2383—111no—
533#2383—111no—
534#2359—111no—
535#2359—111no—
536#2359—111no—
537#2359D1111yescharacteristic, complemented
538#2353—111no—
539#2353—111no—
540#2349—111no—
541#2349—111no—
542#2347—111no—
543#2347—111no—
544#2343—111no—
545#2343—111no—
546#2337—111no—
547#2337—111no—
548#2336—111no—
549#2336—111no—
550#2329—111no—
551#2329—111no—
552#2325—111no—
553#2325—111no—
554#2320—111no—
555#2320—111no—
556#2318—111no—
557#2318—111no—
558#2285—111no—
559C2×#383—111no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11C23×C412yes—
571C23×C11C23×C412yes—
572C23×C11H(5,𝔽2)12yes—
573C23×C112−1+412yes—
574C23×C11C2511yescharacteristic
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11C23×C412yes—
582D4×C11—28no—
583C2×C4×C11—28no—
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—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—82no—
619C2×C4×C11—82no—
620C2×C4×C11—82no—
621C2×C4×C11C23×C412yes—
622C2×C4×C11C23×C412yes—
623C2×C4×C11C23×C412yes—
624C2×C4×C11C23×C412yes—
625C2×C4×C11C23×C412yes—
626C22⋊D11—28no—
627C22⋊D11—44no—
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—21no—
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—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—44no—
667C2×Dic11—44no—
668C2×Dic11—44no—
669C2×Dic11—82no—
670C2×Dic11—82no—
671C2×Dic11—82no—
672C2×Dic11C23×C412yes—
673C2×Dic11C23×C412yes—
674C2×Dic11C23×C412yes—
675C2×Dic11C23×C412yes—
676C2×Dic11C23×C412yes—
677C2×Dic11C23×C412yes—
678C2×Dic11C23×C412yes—
679C4×D11—44no—
680C4×D11—82no—
681C4×D11—82no—
682Dic22—44no—
683#529—1116no—
684C2×#126—111no—
685C2×#126—111no—
686C2×#125—111no—
687C2×#124—111no—
688C2×#123—111no—
689C2×#123C2×D1111yescharacteristic
690C2×C22⋊Q8—111no—
691C2×#121—111no—
692C2×C4×Q8—111no—
693C2×C4×D4—111no—
694C2×C4×D4—111no—
695C2×C4×D4—111no—
696C2×C4×D4—111no—
697C2×C4×D4—111no—
698C2×C4×D4—111no—
699C2×C4×D4C2×D1111yescharacteristic
700C2×#117—111no—
701C2×#117—111no—
702C2×#117—111no—
703C2×#117C2×D1111yescharacteristic
704C22×C42—111no—
705#391—111no—
706#391—111no—
707#391—111no—
708#391—111no—
709#389—111no—
710#389—111no—
711#389—111no—
712#389—111no—
713#389—111no—
714#389—111no—
715#389—111no—
716#389—111no—
717#389—111no—
718#389—111no—
719#389—111no—
720#389C2×D1111yescharacteristic
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#387—111no—
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#387—111no—
752#387—111no—
753#387—111no—
754#387—111no—
755#387—111no—
756#387—111no—
757#387—111no—
758#387—111no—
759#387C2×D1111yescharacteristic
760#387C2×D1111yescharacteristic
761#386—111no—
762#386—111no—
763#386—111no—
764#386—111no—
765#386—111no—
766#386—111no—
767#386—111no—
768#386C2×D1111yescharacteristic
769#385—111no—
770#385—111no—
771#385—111no—
772#385—111no—
773#385—111no—
774#385—111no—
775#385—111no—
776#385—111no—
777#385—111no—
778#385—111no—
779#385—111no—
780#385—111no—
781#385—111no—
782#385—111no—
783#385C2×D1111yescharacteristic
784#385C2×D1111yescharacteristic
785#384—111no—
786#384—111no—
787#383—111no—
788#383—111no—
789#383—111no—
790#383—111no—
791#383—111no—
792#383—111no—
793#383—111no—
794#383—111no—
795#383—111no—
796#383—111no—
797#382—111no—
798#382—111no—
799#382—111no—
800#382—111no—
801#381—111no—
802#381—111no—
803#380—111no—
804#380—111no—
805#380—111no—
806#380—111no—
807#380—111no—
808#380—111no—
809C4×C4⋊C4—111no—
810C4×C4⋊C4—111no—
811C4×C4⋊C4—111no—
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4—111no—
815C4×C4⋊C4—111no—
816C4×C4⋊C4—111no—
817C4×C4⋊C4—111no—
818C4×C4⋊C4C2×D1111yescharacteristic
819C4×C22⋊C4—111no—
820C4×C22⋊C4—111no—
821C4×C22⋊C4—111no—
822C4×C22⋊C4—111no—
823C4×C22⋊C4—111no—
824C4×C22⋊C4—111no—
825C4×C22⋊C4—111no—
826C4×C22⋊C4—111no—
827C4×C22⋊C4C2×D1111yescharacteristic
828C4×C22⋊C4C2×D1111yescharacteristic
829#376—111no—
830#376—111no—
831C2×#95—111no—
832C2×#95—111no—
833C2×#95—111no—
834C2×#95—111no—
835C2×#95—111no—
836C2×#95—111no—
837C2×#95—111no—
838C2×#95C2×D1111yescharacteristic
839C22×C11—22no—
840C22×C11—22no—
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—22no—
845C22×C11—22no—
846C22×C11—22no—
847C22×C11—22no—
848C22×C11—41no—
849C22×C11—41no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11#52014yes—
853C22×C11C24×C411yescharacteristic
854C22×C11C2×H(5,𝔽2)11yescharacteristic
855C22×C11C2×2−1+411yescharacteristic
856C22×C11#58511yescharacteristic
857C22×C11#58511yescharacteristic
858C22×C11#58511yescharacteristic
859C22×C11#58511yescharacteristic
860C2×D11—22no—
861C2×D11—22no—
862C2×D11—22no—
863C2×D11—41no—
864C2×D11—41no—
865C2×D11—41no—
866C2×D11—41no—
867C4×C11—22no—
868C4×C11—22no—
869C4×C11—22no—
870C4×C11—22no—
871C4×C11—22no—
872C4×C11—41no—
873C4×C11—41no—
874C4×C11—41no—
875C4×C11—41no—
876C4×C11—41no—
877C4×C11—41no—
878C4×C11—41no—
879C4×C11—41no—
880Dic11—22no—
881Dic11—22no—
882Dic11—22no—
883Dic11—22no—
884Dic11—22no—
885Dic11—22no—
886Dic11—22no—
887Dic11—41no—
888Dic11—41no—
889Dic11—41no—
890Dic11—41no—
891Dic11—41no—
892Dic11—41no—
893Dic11—41no—
894Dic11—41no—
895C22×Q8—111no—
896C22×D4—111no—
897C22×D4—111no—
898C22×D4C22×D1111yescharacteristic
899C23×C4—111no—
900C23×C4—111no—
901C23×C4—111no—
902C23×C4—111no—
903C23×C4—111no—
904C23×C4—111no—
905C23×C4—111no—
906C23×C4—111no—
907C23×C4—111no—
908C23×C4C22×D1111yescharacteristic
909C23×C4C22×D1111yescharacteristic
910C23×C4C22×D1111yescharacteristic
911C23×C4C22×D1111yescharacteristic
912#126—118no—
913#126—118no—
914#125—118no—
915#124—118no—
916#123—118no—
917#123C4×D1118yescomplemented
918C22⋊Q8—118no—
919#121—118no—
920C4×Q8—118no—
921C4×D4—42no—
922C4×D4—118no—
923C4×D4—118no—
924C4×D4—118no—
925C4×D4—442no—
926C4×D4—442no—
927C4×D4—442no—
928#117—42no—
929#117—118no—
930#117—118no—
931#117—442no—
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⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
961C2×C4⋊C4C22×D1111yescharacteristic
962C2×C4⋊C4C22×D1111yescharacteristic
963C2×C4⋊C4C22×D1111yescharacteristic
964C2×C4⋊C4C22×D1111yescharacteristic
965C2×C4⋊C4C22×D1111yescharacteristic
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4C22×D1111yescharacteristic
985C2×C22⋊C4C22×D1111yescharacteristic
986C2×C22⋊C4C22×D1111yescharacteristic
987C2×C22⋊C4C22×D1111yescharacteristic
988C2×C22⋊C4C22×D1111yescharacteristic
989C2×C22⋊C4C22×D1111yescharacteristic
990C2×C22⋊C4C22×D1111yescharacteristic
991C2×C22⋊C4C22×D1111yescharacteristic
992C2×C42—118no—
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×C42C22×D1111yescharacteristic
1011C2×C42C22×D1111yescharacteristic
1012C2×C42C22×D1111yescharacteristic
1013C2×C42C22×D1111yescharacteristic
1014C2×C42C22×D1111yescharacteristic
1015#95—111no—
1016#95—111no—
1017#95—111no—
1018#95—111no—
1019#95—111no—
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#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#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070#95C22×D1111yescharacteristic
1071C2×C11—24no—
1072C2×C11—42no—
1073C2×C11C2×#52011yescharacteristic
1074C2×C11#342811yescharacteristic
1075C2×C11#342811yescharacteristic
1076C2×C11#356011yescharacteristic
1077C2×C11#356011yescharacteristic
1078C2×C11#356411yescharacteristic
1079C2×C11#356411yescharacteristic
1080D11—42no—
1081C24—111no—
1082C24C23×D1111yescharacteristic
1083C24C23×D1111yescharacteristic
1084C2×Q8—114no—
1085C2×Q8—441no—
1086C2×Q8—441no—
1087C2×D4—22no—
1088C2×D4—22no—
1089C2×D4—114no—
1090C2×D4—114no—
1091C2×D4—222no—
1092C2×D4—222no—
1093C2×D4—441no—
1094C2×D4—441no—
1095C2×D4C2×C4×D1114yes—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4—41no—
1107C22×C4—111no—
1108C22×C4—111no—
1109C22×C4—111no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—114no—
1115C22×C4—114no—
1116C22×C4—114no—
1117C22×C4—114no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—222no—
1127C22×C4—222no—
1128C22×C4—441no—
1129C22×C4—441no—
1130C22×C4—441no—
1131C22×C4—441no—
1132C22×C4—441no—
1133C22×C4—441no—
1134C22×C4—441no—
1135C22×C4—441no—
1136C22×C4—441no—
1137C22×C4—441no—
1138C22×C4—441no—
1139C22×C4—441no—
1140C22×C4—441no—
1141C22×C4—441no—
1142C22×C4—441no—
1143C22×C4—441no—
1144C22×C4—441no—
1145C22×C4—441no—
1146C22×C4—441no—
1147C22×C4—441no—
1148C22×C4—441no—
1149C22×C4C2×C4×D1114yes—
1150C22×C4C23×D1111yescharacteristic
1151C22×C4C23×D1111yescharacteristic
1152C22×C4C23×D1111yescharacteristic
1153C22×C4C23×D1111yescharacteristic
1154C22×C4C23×D1111yescharacteristic
1155C22×C4C23×D1111yescharacteristic
1156C22×C4C23×D1111yescharacteristic
1157C22×C4C23×D1111yescharacteristic
1158C22×C4C23×D1111yescharacteristic
1159C22×C4C23×D1111yescharacteristic
1160C22×C4C23×D1111yescharacteristic
1161C22×C4C23×D1111yescharacteristic
1162C22×C4C23×D1111yescharacteristic
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—114no—
1169C4⋊C4—114no—
1170C4⋊C4—114no—
1171C4⋊C4—114no—
1172C4⋊C4—114no—
1173C4⋊C4—114no—
1174C4⋊C4—114no—
1175C4⋊C4—114no—
1176C4⋊C4—441no—
1177C4⋊C4—441no—
1178C4⋊C4—441no—
1179C4⋊C4—441no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4—441no—
1189C4⋊C4—441no—
1190C4⋊C4—441no—
1191C4⋊C4—441no—
1192C4⋊C4—441no—
1193C4⋊C4—441no—
1194C4⋊C4—441no—
1195C4⋊C4C2×C4×D1114yes—
1196C4⋊C4C2×C4×D1114yes—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—114no—
1203C22⋊C4—114no—
1204C22⋊C4—114no—
1205C22⋊C4—114no—
1206C22⋊C4—114no—
1207C22⋊C4—114no—
1208C22⋊C4—114no—
1209C22⋊C4—222no—
1210C22⋊C4—222no—
1211C22⋊C4—441no—
1212C22⋊C4—441no—
1213C22⋊C4—441no—
1214C22⋊C4—441no—
1215C22⋊C4—441no—
1216C22⋊C4—441no—
1217C22⋊C4—441no—
1218C22⋊C4—441no—
1219C22⋊C4—441no—
1220C22⋊C4C2×C4×D1114yes—
1221C22⋊C4C2×C4×D1114yes—
1222C22⋊C4C2×C4×D1114yes—
1223C42—41no—
1224C42—41no—
1225C42—41no—
1226C42—41no—
1227C42—41no—
1228C42—114no—
1229C42—114no—
1230C42—114no—
1231C42—114no—
1232C42—114no—
1233C42—114no—
1234C42—441no—
1235C42—441no—
1236C42—441no—
1237C42—441no—
1238C42—441no—
1239C42—441no—
1240C42—441no—
1241C42—441no—
1242C42—441no—
1243C42—441no—
1244C42—441no—
1245C11#3440111yescharacteristic, complemented, Sylow
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—112no—
1257C23—221no—
1258C23—221no—
1259C23—221no—
1260C23—221no—
1261C23—221no—
1262C23—221no—
1263C23C22×C4×D1112yes—
1264C23C22×C4×D1112yes—
1265C23#6703712yes—
1266C23#6704312yes—
1267C23C24×D1111yescharacteristic
1268Q8—444no—
1269D4—28no—
1270D4—228no—
1271D4—444no—
1272C2×C4—28no—
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—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—82no—
1308C2×C4—82no—
1309C2×C4—82no—
1310C2×C4—112no—
1311C2×C4—112no—
1312C2×C4—112no—
1313C2×C4—112no—
1314C2×C4—112no—
1315C2×C4—112no—
1316C2×C4—112no—
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—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—444no—
1356C2×C4—444no—
1357C2×C4—444no—
1358C2×C4—444no—
1359C2×C4—882no—
1360C2×C4—882no—
1361C2×C4—882no—
1362C2×C4—882no—
1363C2×C4—882no—
1364C2×C4C22×C4×D1112yes—
1365C2×C4C22×C4×D1112yes—
1366C2×C4C22×C4×D1112yes—
1367C2×C4C22×C4×D1112yes—
1368C2×C4C22×C4×D1112yes—
1369C22—22no—
1370C22—22no—
1371C22—22no—
1372C22—22no—
1373C22—22no—
1374C22—22no—
1375C22—22no—
1376C22—22no—
1377C22—22no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—222no—
1383C22—222no—
1384C22—222no—
1385C22—441no—
1386C22—441no—
1387C22—441no—
1388C22—441no—
1389C22#1062307714yes—
1390C22C23×C4×D1111yescharacteristic
1391C22C2×#6703711yescharacteristic
1392C22C2×#6704311yescharacteristic
1393C22#1062345311yescharacteristic
1394C22#1062345311yescharacteristic
1395C22#1062345511yescharacteristic
1396C22#1062345711yescharacteristic
1397C4—22no—
1398C4—22no—
1399C4—22no—
1400C4—22no—
1401C4—22no—
1402C4—41no—
1403C4—41no—
1404C4—41no—
1405C4—41no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—222no—
1411C4—222no—
1412C4—222no—
1413C4—222no—
1414C4—222no—
1415C4—222no—
1416C4—222no—
1417C4—441no—
1418C4—441no—
1419C4—441no—
1420C4—441no—
1421C4—441no—
1422C4—441no—
1423C4—441no—
1424C4—441no—
1425C2—24no—
1426C2—42no—
1427C2—442no—
1428C2C2×#1062307711yescharacteristic
1429C2#1308181511yescharacteristic
1430C2#1308181611yescharacteristic
1431C2#1308315611yescharacteristic
1432C2#1308316411yescharacteristic
1433C2#1308322811yescharacteristic
1434C2#1308323611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2359C2
socle, cosocleC23×C11C25
prime radicalC2×#66992C22
hypercenter#2359D11
hypocenterC11#34401
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
2. #13071807C2semidirect
3. #13071806C2semidirect
4. #13071804C2semidirect
5. #13071803C2semidirect
6. #13071612C2semidirect
7. #13071608C2semidirect
8. #13071604C2semidirect
9. #13071554C2semidirect
10. #13071550C2semidirect
11. #13071522C2semidirect
12. #13071521C2semidirect
13. #13071506C2semidirect
14. #13071505C2semidirect
15. #13071475C2semidirect
16. #13071470C2semidirect
17. #13071427C2semidirect
18. #13071424C2semidirect
19. #13071418C2semidirect
20. #13071415C2semidirect
21. #13071347C2semidirect
22. #13071344C2semidirect
25. #13071265C2semidirect
26. #13071263C2semidirect
27. #13071246C2semidirect
28. #13071244C2semidirect
29. #13071019C2semidirect
30. C2×#10622264C2semidirect
31. C11×#2359C2semidirect
42. #10623180C4semidirect
205. C11×#123C2×C4semidirect
238. D4×Dic11C2×C4semidirect
239. #66982C2×C4semidirect
279. C2×C4×Dic11C2×C4semidirect
297. #66951C2×C4semidirect
298. #66945C2×C4semidirect
299. #66942C2×C4semidirect
300. #66940C2×C4semidirect
301. #66938C2×C4semidirect
303. (C22⋊D11)⋊C4C2×C4semidirect
304. (C22⋊D11)⋊C4C2×C4semidirect
305. #66932C2×C4semidirect
306. #66931C2×C4semidirect
307. #66930C2×C4semidirect
537. #2359D11semidirect
917. #123C4×D11semidirect
1245. C11#34401semidirect

Maximal subgroups

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

subgroupindex
C2×#106231802
#130718072
#130718062
#130718042
#130718032
#130716122
#130716082
#130716042
#130715542
#130715502
#130715222
#130715212
#130715062
#130715052
#130714752
#130714702
#130714272
#130714242
#130714182
#130714152
#130713472
#130713442
#130713172
#130713142
#130712652
#130712632
#130712462
#130712442
#130710192
C2×#106222642
C11×#23592
#3440111