Finite Group Databasebeta

← #14918349

Subgroups — #14918349

Order 2816.

2292 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623189C211yesmaximal, characteristic
2#13071806C211yesmaximal, characteristic, complemented
3#13071780C211yesmaximal, characteristic, complemented
4#13071762C211yesmaximal, characteristic, complemented
5#13071758C211yesmaximal, characteristic, complemented
6#13071730C211yesmaximal, characteristic, complemented
7#13071688C211yesmaximal, characteristic, complemented
8#13071622C211yesmaximal, characteristic, complemented
9#13071612C211yesmaximal, characteristic, complemented
10#13071593C211yesmaximal, characteristic
11#13071539C211yesmaximal, characteristic, complemented
12D4×Dic11⋊C4C211yesmaximal, characteristic, complemented
13#13071505C211yesmaximal, characteristic, complemented
14#13071478C211yesmaximal, characteristic, complemented
15#13071459C211yesmaximal, characteristic, complemented
16#13071458C211yesmaximal, characteristic, complemented
17#13071427C211yesmaximal, characteristic, complemented
18#13071408C211yesmaximal, characteristic, complemented
19#13071397C211yesmaximal, characteristic, complemented
20#13071385C211yesmaximal, characteristic, complemented
21#13071347C211yesmaximal, characteristic, complemented
22#13071299C211yesmaximal, characteristic, complemented
23#13071287C211yesmaximal, characteristic, complemented
24#13071279C211yesmaximal, characteristic
25#13071257C211yesmaximal, characteristic, complemented
26#13071242C211yesmaximal, characteristic, complemented
27#13071227C211yesmaximal, characteristic, complemented
28#13071222C211yesmaximal, characteristic, complemented
29#13071099C211yesmaximal, characteristic, complemented
30C2×#10622553C211yesmaximal, characteristic, complemented
31C4×C11×#123C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C22×C42×C11C2211yescharacteristic
35C2×#66990C2211yescharacteristic
36C2×D4×Dic11C2211yescharacteristic
37C2×D4×Dic11C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C22×(C2×D11)⋊C4C2211yescharacteristic
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C2×#66979C2211yescharacteristic
43C2×#66979C2211yescharacteristic
44C22×Dic11⋊C4C2211yescharacteristic
45C22×Dic11⋊C4C2211yescharacteristic, complemented
46#10623189C4116yescomplemented
47C2×#66951C2211yescharacteristic
48C2×#66951C2211yescharacteristic
49C2×#66950C2211yescharacteristic
50C2×#66945C2211yescharacteristic
51C2×#66939C2211yescharacteristic
52C2×#66938C2211yescharacteristic
53C2×#66936C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×C22⋊C4×D11C2211yescharacteristic
57C2×#66931C2211yescharacteristic
58C2×#66925C2211yescharacteristic
59C2×C4×Dic22C2211yescharacteristic, complemented
60C11×#388C2211yescharacteristic, complemented
61C11×#388C2211yescharacteristic, complemented
62C11×#387C2211yescharacteristic, complemented
63C11×#387C2211yescharacteristic, complemented
64C11×#386C2211yescharacteristic
65C11×#385C2211yescharacteristic
66C11×#381C2211yescharacteristic
67C4×C11×C4⋊C4C2211yescharacteristic, complemented
68C4×C11×C4⋊C4C2211yescharacteristic, complemented
69C4×C11×C22⋊C4C2211yescharacteristic
70C4×C11×C22⋊C4C2211yescharacteristic, complemented
71C4×C11×C22⋊C4C2211yescharacteristic, complemented
72#10622833C2211yescharacteristic
73#10622826C2211yescharacteristic
74#10622823C2211yescharacteristic
75#10622823C2211yescharacteristic
76#10622823C2211yescharacteristic
77#10622823C2211yescharacteristic
78#10622823C2211yescharacteristic, complemented
79C2×C11⋊#95C2211yescharacteristic
80C2×C11⋊#95C2211yescharacteristic
81#10622603C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622600C2211yescharacteristic
87#10622598C2211yescharacteristic, complemented
88#10622594C2211yescharacteristic, complemented
89#10622594C2211yescharacteristic, complemented
90#10622591C2211yescharacteristic, complemented
91#10622589C2211yescharacteristic, complemented
92C4⋊C4×Dic11C2211yescharacteristic, complemented
93#10622587C2211yescharacteristic, complemented
94#10622586C2211yescharacteristic, complemented
95#10622586C2211yescharacteristic, complemented
96#10622585C2211yescharacteristic, complemented
97#10622571C2211yescharacteristic
98#10622571C2211yescharacteristic
99#10622570C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622568C2211yescharacteristic
104#10622564C2211yescharacteristic, complemented
105#10622564C2211yescharacteristic, complemented
106#10622563C2211yescharacteristic
107#10622563C2211yescharacteristic, complemented
108#10622559C2211yescharacteristic
109#10622559C2211yescharacteristic
110#10622559C2211yescharacteristic, complemented
111#10622558C2211yescharacteristic, complemented
112#10622557C2211yescharacteristic, complemented
113#10622556C2211yescharacteristic, complemented
114#10622555C2211yescharacteristic
115#10622555C2211yescharacteristic, complemented
116#10622555C2211yescharacteristic, complemented
117C22⋊C4×Dic11C2211yescharacteristic
118C22⋊C4×Dic11C2211yescharacteristic
119C22⋊C4×Dic11C2211yescharacteristic
120C22⋊C4×Dic11C2211yescharacteristic
121C22⋊C4×Dic11C2211yescharacteristic, complemented
122#10622553C2211yescharacteristic
123#10622553C2211yescharacteristic
124#10622553C2211yescharacteristic
125#10622553C2211yescharacteristic
126#10622553C2211yescharacteristic
127#10622553C2211yescharacteristic
128#10622553C2211yescharacteristic
129#10622553C2211yescharacteristic
130#10622553C2211yescharacteristic
131#10622553C2211yescharacteristic
132#10622553C2211yescharacteristic
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135#10622546C2211yescharacteristic, complemented
136C4×Dic11⋊C4C2211yescharacteristic, complemented
137C4×Dic11⋊C4C2211yescharacteristic, complemented
138C4×Dic11⋊C4C2211yescharacteristic, complemented
139C4×Dic11⋊C4C2211yescharacteristic, complemented
140C4×Dic11⋊C4C2211yescharacteristic, complemented
141C4×Dic11⋊C4C2211yescharacteristic, complemented
142#10622541C2211yescharacteristic, complemented
143#10622541C2211yescharacteristic, complemented
144#10622541C2211yescharacteristic, complemented
145#10622541C2211yescharacteristic, complemented
146#10622541C2211yescharacteristic, complemented
147#10622541C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622283C2211yescharacteristic
152#10622282C2211yescharacteristic
153#10622282C2211yescharacteristic
154#10622282C2211yescharacteristic
155#10622282C2211yescharacteristic
156#10622282C2211yescharacteristic
157#10622282C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622281C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic
162#10622280C2211yescharacteristic
163#10622280C2211yescharacteristic
164#10622280C2211yescharacteristic
165#10622279C2211yescharacteristic
166#10622279C2211yescharacteristic
167#10622277C2211yescharacteristic
168#10622267C2211yescharacteristic, complemented
169#10622267C2211yescharacteristic, complemented
170#10622267C2211yescharacteristic, complemented
171#10622267C2211yescharacteristic, complemented
172#10622266C2211yescharacteristic, complemented
173#10622266C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622265C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622264C2211yescharacteristic, complemented
179#10622264C2211yescharacteristic, complemented
180#10622263C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C11×#123C2×C418yescomplemented
207C4×D4×C11—42no—
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C42×C11—42no—
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237#66990C2×C418yes—
238D4×Dic11—42no—
239D4×Dic11C2×C418yescomplemented
240C4×C22⋊D11—42no—
241C2×(C2×D11)⋊C4—42no—
242C2×(C2×D11)⋊C4—42no—
243C2×(C2×D11)⋊C4C2×C418yescomplemented
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266#66979—42no—
267#66979C2×C418yescomplemented
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×Dic11⋊C4—42no—
278C2×Dic11⋊C4—42no—
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313#66951C2×C418yescomplemented
314#66951C2×C418yescomplemented
315#66950C2×C418yescomplemented
316#66945C2×C418yescomplemented
317#66939C2×C418yescomplemented
318#66938C2×C418yescomplemented
319#66936C2×C418yescomplemented
320(C22⋊D11)⋊C4C2×C418yescomplemented
321C22⋊C4×D11—42no—
322C22⋊C4×D11C2×C418yescomplemented
323#66931C2×C418yescomplemented
324#66925—42no—
325C4×Dic22—42no—
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#34458—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—41no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11C22×C414yes—
380C23×D11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C2×D4×C11—22no—
383C2×D4×C11—22no—
384C2×D4×C11C22×C414yes—
385C22×C4×C11—22no—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
396C22×C4×C11C22×C414yes—
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C2×C22⋊D11—41no—
411C2×C22⋊D11—41no—
412C2×C22⋊D11—41no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11C22×C414yes—
415C2×C22⋊D11C22×C414yes—
416C22×Dic11—22no—
417C22×Dic11—22no—
418C22×Dic11—41no—
419C22×Dic11—41no—
420C22×Dic11—41no—
421C22×Dic11—41no—
422C22×Dic11—41no—
423C22×Dic11—41no—
424C22×Dic11—41no—
425C22×Dic11—41no—
426C22×Dic11—41no—
427C22×Dic11—41no—
428C22×Dic11—41no—
429C22×Dic11C22×C414yes—
430C22×Dic11C22×C414yes—
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11C22×C414yes—
456C2×C4×D11C22×C414yes—
457C2×Dic22—41no—
458C2×Dic22—41no—
459C2×Dic22C22×C414yes—
460C11×C4⋊C4—41no—
461C11×C4⋊C4—41no—
462C11×C4⋊C4—41no—
463C11×C4⋊C4C22×C414yes—
464C11×C4⋊C4C22×C414yes—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—41no—
468C11×C22⋊C4—41no—
469C11×C22⋊C4—41no—
470C11×C22⋊C4C22×C414yes—
471C11×C22⋊C4C22×C414yes—
472C11×C22⋊C4C22×C414yes—
473C42×C11—22no—
474C42×C11—41no—
475C42×C11—41no—
476C42×C11—41no—
477C42×C11—41no—
478C42×C11—41no—
479C42×C11—41no—
480C22⋊Dic11—22no—
481C22⋊Dic11—22no—
482C22⋊Dic11—41no—
483C22⋊Dic11—41no—
484C22⋊Dic11—41no—
485C22⋊Dic11C22×C414yes—
486C22⋊Dic11C22×C414yes—
487C22⋊Dic11C22×C414yes—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
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)⋊C4—41no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4C22×C414yes—
503(C2×D11)⋊C4C22×C414yes—
504(C2×D11)⋊C4C22×C414yes—
505(C2×D11)⋊C4C22×C414yes—
506(C2×D11)⋊C4C22×C414yes—
507(C2×D11)⋊C4C22×C414yes—
508(C2×D11)⋊C4C22×C414yes—
509(C2×D11)⋊C4C22×C414yes—
510C4⋊Dic11—41no—
511C4⋊Dic11—41no—
512C4⋊Dic11—41no—
513C4⋊Dic11—41no—
514C4⋊Dic11—41no—
515C4⋊Dic11C22×C414yes—
516C4⋊Dic11C22×C414yes—
517C4⋊Dic11C22×C414yes—
518C4⋊Dic11C22×C414yes—
519Dic11⋊C4—22no—
520Dic11⋊C4—22no—
521Dic11⋊C4—22no—
522Dic11⋊C4—22no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4—41no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4C22×C414yes—
538Dic11⋊C4C22×C414yes—
539C4×Dic11—41no—
540C4×Dic11—41no—
541C4×Dic11—41no—
542C4×Dic11—41no—
543C4×Dic11—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549C4×Dic11—41no—
550C4×Dic11C22×C414yes—
551C4×Dic11C22×C414yes—
552C4×Dic11C22×C414yes—
553C2×#551—111no—
554#2383—111no—
555#2378—111no—
556#2376—111no—
557#2376—111no—
558#2373—111no—
559#2367—111no—
560#2360—111no—
561#2359—111no—
562#2358—111no—
563#2352—111no—
564D4×C4⋊C4—111no—
565#2347—111no—
566#2343—111no—
567#2342—111no—
568#2342—111no—
569#2337—111no—
570#2335—111no—
571#2334—111no—
572#2334—111no—
573#2329—111no—
574#2323—111no—
575#2322—111no—
576#2321—111no—
577#2319—111no—
578#2318—111no—
579#2315—111no—
580#2314—111no—
581C4×#123D1111yescharacteristic, complemented
582#2296—111no—
583C2×#388—111no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11C23×C412yes—
595C23×C11C23×C412yes—
596C23×C11H(5,𝔽2)12yes—
597C23×C112−1+412yes—
598C23×C11C2511yescharacteristic
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—28no—
612C22×D11—44no—
613C22×D11—44no—
614C22×D11—82no—
615C22×D11—82no—
616C22×D11—82no—
617C22×D11—82no—
618C22×D11C23×C412yes—
619C22×D11C23×C412yes—
620D4×C11—28no—
621C2×C4×C11—28no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—44no—
656C2×C4×C11—44no—
657C2×C4×C11—82no—
658C2×C4×C11C23×C412yes—
659C2×C4×C11C23×C412yes—
660C2×C4×C11C23×C412yes—
661C2×C4×C11C23×C412yes—
662C2×C4×C11C23×C412yes—
663C2×C4×C11H(5,𝔽2)12yes—
664C22⋊D11—44no—
665C22⋊D11—44no—
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—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—44no—
703C2×Dic11—44no—
704C2×Dic11—82no—
705C2×Dic11—82no—
706C2×Dic11—82no—
707C2×Dic11C23×C412yes—
708C2×Dic11C23×C412yes—
709C2×Dic11C23×C412yes—
710C2×Dic11C23×C412yes—
711C2×Dic11C23×C412yes—
712C2×Dic11C23×C412yes—
713C4×D11—44no—
714C4×D11—44no—
715C4×D11—82no—
716C4×D11—82no—
717Dic22—44no—
718#551—1116no—
719C2×#126—111no—
720C2×#126—111no—
721C2×#124—111no—
722C2×#123—111no—
723C2×#123—111no—
724C2×#123C2×D1111yescharacteristic
725C2×C22⋊Q8—111no—
726C2×C22⋊Q8—111no—
727C2×#120—111no—
728C2×C4×Q8—111no—
729C2×C4×D4—111no—
730C2×C4×D4—111no—
731C2×C4×D4—111no—
732C2×C4×D4—111no—
733C2×C4×D4C2×D1111yescharacteristic
734C2×#117—111no—
735C2×#117—111no—
736C2×#117—111no—
737C2×#117—111no—
738C22×C4⋊C4—111no—
739C22×C4⋊C4—111no—
740C22×C22⋊C4—111no—
741C22×C22⋊C4—111no—
742C22×C22⋊C4—111no—
743C22×C22⋊C4—111no—
744C22×C22⋊C4—111no—
745C22×C42C2×D1111yescharacteristic
746#391—111no—
747#391—111no—
748#391—111no—
749#390—111no—
750#390—111no—
751#390—111no—
752#389—111no—
753#389—111no—
754#389—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#389—111no—
760#389—111no—
761#389—111no—
762#389—111no—
763#389—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388C2×D1111yescharacteristic, complemented
791#388C2×D1111yescharacteristic, complemented
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—111no—
804#387—111no—
805#387—111no—
806#387C2×D1111yescharacteristic, complemented
807#387C2×D1111yescharacteristic, complemented
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—111no—
813#386C2×D1111yescharacteristic
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#385—111no—
823#385—111no—
824#385—111no—
825#385—111no—
826#385—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385—111no—
831#385C2×D1111yescharacteristic
832#384—111no—
833#383—111no—
834#383—111no—
835#382—111no—
836#382—111no—
837#381—111no—
838#381—111no—
839#381C2×D1111yescharacteristic
840#380—111no—
841#380—111no—
842#380—111no—
843#380—111no—
844#380—111no—
845#380—111no—
846#380—111no—
847#380—111no—
848#379—111no—
849C4×C4⋊C4—111no—
850C4×C4⋊C4—111no—
851C4×C4⋊C4—111no—
852C4×C4⋊C4—111no—
853C4×C4⋊C4—111no—
854C4×C4⋊C4—111no—
855C4×C4⋊C4—111no—
856C4×C4⋊C4—111no—
857C4×C4⋊C4C2×D1111yescharacteristic, complemented
858C4×C4⋊C4C2×D1111yescharacteristic, complemented
859C4×C22⋊C4—111no—
860C4×C22⋊C4—111no—
861C4×C22⋊C4—111no—
862C4×C22⋊C4—111no—
863C4×C22⋊C4—111no—
864C4×C22⋊C4—111no—
865C4×C22⋊C4—111no—
866C4×C22⋊C4—111no—
867C4×C22⋊C4—111no—
868C4×C22⋊C4C2×D1111yescharacteristic
869C4×C22⋊C4C2×D1111yescharacteristic, complemented
870C4×C22⋊C4C2×D1111yescharacteristic, complemented
871#376—111no—
872C2×#95—111no—
873C2×#95—111no—
874C22×C11—22no—
875C22×C11—22no—
876C22×C11—22no—
877C22×C11—22no—
878C22×C11—22no—
879C22×C11—22no—
880C22×C11—22no—
881C22×C11—22no—
882C22×C11—22no—
883C22×C11—41no—
884C22×C11—41no—
885C22×C11—41no—
886C22×C11—41no—
887C22×C11#52014yes—
888C22×C11C24×C411yescharacteristic
889C22×C11C2×H(5,𝔽2)11yescharacteristic
890C22×C11C2×H(5,𝔽2)11yescharacteristic
891C22×C11C2×2−1+411yescharacteristic
892C22×C11#58511yescharacteristic
893C22×C11#58511yescharacteristic
894C22×C11#58511yescharacteristic
895C2×D11—22no—
896C2×D11—22no—
897C2×D11—22no—
898C2×D11—22no—
899C2×D11—22no—
900C2×D11—22no—
901C2×D11—41no—
902C2×D11—41no—
903C2×D11—41no—
904C2×D11—41no—
905C2×D11—41no—
906C2×D11—41no—
907C2×D11—41no—
908C2×D11—41no—
909C2×D11—88no—
910C4×C11—22no—
911C4×C11—22no—
912C4×C11—22no—
913C4×C11—22no—
914C4×C11—22no—
915C4×C11—22no—
916C4×C11—41no—
917C4×C11—41no—
918C4×C11—41no—
919C4×C11—41no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923Dic11—22no—
924Dic11—22no—
925Dic11—22no—
926Dic11—22no—
927Dic11—22no—
928Dic11—22no—
929Dic11—41no—
930Dic11—41no—
931Dic11—41no—
932Dic11—41no—
933Dic11—41no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937C25—111no—
938C22×Q8—111no—
939C22×D4—111no—
940C22×D4—111no—
941C22×D4C22×D1111yescharacteristic
942C23×C4—111no—
943C23×C4—111no—
944C23×C4—111no—
945C23×C4—111no—
946C23×C4—111no—
947C23×C4—111no—
948C23×C4—111no—
949C23×C4—111no—
950C23×C4—111no—
951C23×C4C22×D1111yescharacteristic
952C23×C4C22×D1111yescharacteristic
953C23×C4C22×D1111yescharacteristic
954C23×C4C22×D1111yescharacteristic
955#126—118no—
956#126—118no—
957#124—118no—
958#123—118no—
959#123—118no—
960#123C4×D1118yescomplemented
961C22⋊Q8—118no—
962C22⋊Q8—118no—
963#120—118no—
964C4×Q8—442no—
965C4×D4—42no—
966C4×D4—118no—
967C4×D4—118no—
968C4×D4—442no—
969C4×D4—442no—
970#117—118no—
971#117—118no—
972#117—442no—
973#117—442no—
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—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—442no—
1004C2×C4⋊C4—442no—
1005C2×C4⋊C4C22×D1111yescharacteristic
1006C2×C4⋊C4C22×D1111yescharacteristic
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—118no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—118no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—442no—
1043C2×C22⋊C4—442no—
1044C2×C22⋊C4—442no—
1045C2×C22⋊C4C22×D1111yescharacteristic
1046C2×C22⋊C4C22×D1111yescharacteristic
1047C2×C22⋊C4C22×D1111yescharacteristic
1048C2×C22⋊C4C22×D1111yescharacteristic
1049C2×C22⋊C4C22×D1111yescharacteristic
1050C2×C22⋊C4C22×D1111yescharacteristic
1051C2×C22⋊C4C22×D1111yescharacteristic
1052C2×C22⋊C4C22×D1111yescharacteristic
1053C2×C42—42no—
1054C2×C42—111no—
1055C2×C42—111no—
1056C2×C42—111no—
1057C2×C42—111no—
1058C2×C42—111no—
1059C2×C42—111no—
1060C2×C42—111no—
1061C2×C42—111no—
1062C2×C42—111no—
1063C2×C42—111no—
1064C2×C42—111no—
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42—111no—
1068C2×C42C22×D1111yescharacteristic
1069C2×C42C22×D1111yescharacteristic
1070C2×C42C22×D1111yescharacteristic
1071C2×C42C22×D1111yescharacteristic
1072C2×C42C22×D1111yescharacteristic
1073C2×C42C22×D1111yescharacteristic
1074C2×C42C22×D1111yescharacteristic
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114#95C22×D1111yescharacteristic
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118#95C22×D1111yescharacteristic
1119C2×C11—24no—
1120C2×C11—42no—
1121C2×C11C2×#52011yescharacteristic
1122C2×C11#342811yescharacteristic
1123C2×C11C4×H(5,𝔽2)11yescharacteristic
1124C2×C11#353311yescharacteristic
1125C2×C11#353411yescharacteristic
1126C2×C11#356111yescharacteristic
1127C2×C11#356411yescharacteristic
1128D11—42no—
1129D11—42no—
1130C24—111no—
1131C24—111no—
1132C24—114no—
1133C24—222no—
1134C24—222no—
1135C24—441no—
1136C24—441no—
1137C24—441no—
1138C24—441no—
1139C24C23×D1111yescharacteristic
1140C24C23×D1111yescharacteristic
1141C2×Q8—114no—
1142C2×Q8—441no—
1143C2×Q8—441no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—114no—
1147C2×D4—114no—
1148C2×D4—441no—
1149C2×D4—441no—
1150C2×D4—441no—
1151C2×D4—441no—
1152C2×D4C2×C4×D1114yes—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—111no—
1165C22×C4—111no—
1166C22×C4—111no—
1167C22×C4—111no—
1168C22×C4—111no—
1169C22×C4—111no—
1170C22×C4—114no—
1171C22×C4—114no—
1172C22×C4—114no—
1173C22×C4—114no—
1174C22×C4—111no—
1175C22×C4—111no—
1176C22×C4—111no—
1177C22×C4—111no—
1178C22×C4—111no—
1179C22×C4—111no—
1180C22×C4—111no—
1181C22×C4—111no—
1182C22×C4—222no—
1183C22×C4—222no—
1184C22×C4—441no—
1185C22×C4—441no—
1186C22×C4—441no—
1187C22×C4—441no—
1188C22×C4—441no—
1189C22×C4—441no—
1190C22×C4—441no—
1191C22×C4—441no—
1192C22×C4—441no—
1193C22×C4—441no—
1194C22×C4—441no—
1195C22×C4—441no—
1196C22×C4—441no—
1197C22×C4—441no—
1198C22×C4—441no—
1199C22×C4—441no—
1200C22×C4—441no—
1201C22×C4—441no—
1202C22×C4—441no—
1203C22×C4—441no—
1204C22×C4—441no—
1205C22×C4C2×C4×D1114yes—
1206C22×C4C23×D1111yescharacteristic
1207C22×C4C23×D1111yescharacteristic
1208C22×C4C23×D1111yescharacteristic
1209C22×C4C23×D1111yescharacteristic
1210C22×C4C23×D1111yescharacteristic
1211C22×C4C23×D1111yescharacteristic
1212C22×C4C23×D1111yescharacteristic
1213C22×C4C23×D1111yescharacteristic
1214C22×C4C23×D1111yescharacteristic
1215C22×C4C23×D1111yescharacteristic
1216C22×C4C23×D1111yescharacteristic
1217C22×C4C23×D1111yescharacteristic
1218C22×C4C23×D1111yescharacteristic
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—114no—
1223C4⋊C4—114no—
1224C4⋊C4—114no—
1225C4⋊C4—114no—
1226C4⋊C4—114no—
1227C4⋊C4—114no—
1228C4⋊C4—222no—
1229C4⋊C4—222no—
1230C4⋊C4—222no—
1231C4⋊C4—222no—
1232C4⋊C4—441no—
1233C4⋊C4—441no—
1234C4⋊C4—441no—
1235C4⋊C4—441no—
1236C4⋊C4—441no—
1237C4⋊C4—441no—
1238C4⋊C4—441no—
1239C4⋊C4—441no—
1240C4⋊C4—441no—
1241C4⋊C4—441no—
1242C4⋊C4—441no—
1243C4⋊C4—441no—
1244C4⋊C4—441no—
1245C4⋊C4—441no—
1246C4⋊C4—441no—
1247C4⋊C4—441no—
1248C4⋊C4—441no—
1249C4⋊C4—441no—
1250C4⋊C4—441no—
1251C4⋊C4C2×C4×D1114yes—
1252C4⋊C4C2×C4×D1114yes—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—114no—
1259C22⋊C4—114no—
1260C22⋊C4—114no—
1261C22⋊C4—114no—
1262C22⋊C4—114no—
1263C22⋊C4—114no—
1264C22⋊C4—114no—
1265C22⋊C4—114no—
1266C22⋊C4—114no—
1267C22⋊C4—114no—
1268C22⋊C4—114no—
1269C22⋊C4—222no—
1270C22⋊C4—222no—
1271C22⋊C4—222no—
1272C22⋊C4—222no—
1273C22⋊C4—441no—
1274C22⋊C4—441no—
1275C22⋊C4—441no—
1276C22⋊C4—441no—
1277C22⋊C4—441no—
1278C22⋊C4—441no—
1279C22⋊C4—441no—
1280C22⋊C4—441no—
1281C22⋊C4—441no—
1282C22⋊C4—441no—
1283C22⋊C4—441no—
1284C22⋊C4—441no—
1285C22⋊C4—441no—
1286C22⋊C4—441no—
1287C22⋊C4—441no—
1288C22⋊C4C2×C4×D1114yes—
1289C22⋊C4C2×C4×D1114yes—
1290C22⋊C4C2×C4×D1114yes—
1291C42—22no—
1292C42—41no—
1293C42—41no—
1294C42—41no—
1295C42—41no—
1296C42—41no—
1297C42—41no—
1298C42—114no—
1299C42—114no—
1300C42—114no—
1301C42—441no—
1302C42—441no—
1303C42—441no—
1304C42—441no—
1305C42—441no—
1306C42—441no—
1307C42—441no—
1308C42—441no—
1309C42—441no—
1310C42—441no—
1311C42—441no—
1312C11#3445811yescharacteristic, complemented, Sylow
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—112no—
1324C23—112no—
1325C23—221no—
1326C23—221no—
1327C23—221no—
1328C23—221no—
1329C23—221no—
1330C23—221no—
1331C23—221no—
1332C23—221no—
1333C23—221no—
1334C23—221no—
1335C23—221no—
1336C23—221no—
1337C23—228no—
1338C23—444no—
1339C23—444no—
1340C23—882no—
1341C23—882no—
1342C23—882no—
1343C23—882no—
1344C23C22×C4×D1112yes—
1345C23C22×C4×D1112yes—
1346C23#6703712yes—
1347C23#6704312yes—
1348C23C24×D1111yescharacteristic
1349Q8—444no—
1350D4—28no—
1351D4—444no—
1352D4—444no—
1353C2×C4—28no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—44no—
1388C2×C4—44no—
1389C2×C4—82no—
1390C2×C4—112no—
1391C2×C4—112no—
1392C2×C4—112no—
1393C2×C4—112no—
1394C2×C4—112no—
1395C2×C4—112no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—444no—
1433C2×C4—444no—
1434C2×C4—444no—
1435C2×C4—444no—
1436C2×C4—882no—
1437C2×C4—882no—
1438C2×C4—882no—
1439C2×C4—882no—
1440C2×C4—882no—
1441C2×C4C22×C4×D1112yes—
1442C2×C4C22×C4×D1112yes—
1443C2×C4C22×C4×D1112yes—
1444C2×C4C22×C4×D1112yes—
1445C2×C4C22×C4×D1112yes—
1446C2×C4#6704212yes—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—222no—
1461C22—222no—
1462C22—222no—
1463C22—222no—
1464C22—222no—
1465C22—222no—
1466C22—441no—
1467C22—441no—
1468C22—441no—
1469C22—441no—
1470C22—441no—
1471C22—441no—
1472C22—441no—
1473C22—441no—
1474C22—888no—
1475C22#1062307714yes—
1476C22C23×C4×D1111yescharacteristic
1477C22C2×#6703711yescharacteristic
1478C22C2×#6704211yescharacteristic
1479C22C2×#6704311yescharacteristic
1480C22#1062345311yescharacteristic
1481C22#1062345311yescharacteristic
1482C22#1062345311yescharacteristic
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—222no—
1497C4—222no—
1498C4—222no—
1499C4—222no—
1500C4—222no—
1501C4—222no—
1502C4—441no—
1503C4—441no—
1504C4—441no—
1505C4—441no—
1506C4—441no—
1507C4—441no—
1508C4—441no—
1509C4—441no—
1510C2—24no—
1511C2—42no—
1512C2—442no—
1513C2—442no—
1514C2C2×#1062307711yescharacteristic
1515C2#1308181511yescharacteristic
1516C2C4×#6704211yescharacteristic
1517C2#1308278011yescharacteristic
1518C2#1308281011yescharacteristic
1519C2#1308318611yescharacteristic
1520C2#1308323411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC4×C11×#123C2
socle, cosocleC23×C11C25
prime radicalC2×#66990C22
hypercenterC4×#123D11
hypocenterC11#34458
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
2. #13071806C2semidirect
3. #13071780C2semidirect
4. #13071762C2semidirect
5. #13071758C2semidirect
6. #13071730C2semidirect
7. #13071688C2semidirect
8. #13071622C2semidirect
9. #13071612C2semidirect
11. #13071539C2semidirect
12. D4×Dic11⋊C4C2semidirect
13. #13071505C2semidirect
14. #13071478C2semidirect
15. #13071459C2semidirect
16. #13071458C2semidirect
17. #13071427C2semidirect
18. #13071408C2semidirect
19. #13071397C2semidirect
20. #13071385C2semidirect
21. #13071347C2semidirect
22. #13071299C2semidirect
23. #13071287C2semidirect
25. #13071257C2semidirect
26. #13071242C2semidirect
27. #13071227C2semidirect
28. #13071222C2semidirect
29. #13071099C2semidirect
30. C2×#10622553C2semidirect
31. C4×C11×#123C2semidirect
45. C22×Dic11⋊C4C22semidirect
46. #10623189C4semidirect
59. C2×C4×Dic22C22semidirect
60. C11×#388C22semidirect
61. C11×#388C22semidirect
62. C11×#387C22semidirect
63. C11×#387C22semidirect
67. C4×C11×C4⋊C4C22semidirect
68. C4×C11×C4⋊C4C22semidirect
70. C4×C11×C22⋊C4C22semidirect
71. C4×C11×C22⋊C4C22semidirect
78. #10622823C22semidirect
87. #10622598C22semidirect
88. #10622594C22semidirect
89. #10622594C22semidirect
90. #10622591C22semidirect
91. #10622589C22semidirect
92. C4⋊C4×Dic11C22semidirect
93. #10622587C22semidirect
94. #10622586C22semidirect
95. #10622586C22semidirect
96. #10622585C22semidirect
104. #10622564C22semidirect
105. #10622564C22semidirect
107. #10622563C22semidirect
110. #10622559C22semidirect
111. #10622558C22semidirect
112. #10622557C22semidirect
113. #10622556C22semidirect
115. #10622555C22semidirect
116. #10622555C22semidirect
121. C22⋊C4×Dic11C22semidirect
135. #10622546C22semidirect
136. C4×Dic11⋊C4C22semidirect
137. C4×Dic11⋊C4C22semidirect
138. C4×Dic11⋊C4C22semidirect
139. C4×Dic11⋊C4C22semidirect
140. C4×Dic11⋊C4C22semidirect
141. C4×Dic11⋊C4C22semidirect
142. #10622541C22semidirect
143. #10622541C22semidirect
144. #10622541C22semidirect
145. #10622541C22semidirect
146. #10622541C22semidirect
147. #10622541C22semidirect
168. #10622267C22semidirect
169. #10622267C22semidirect
170. #10622267C22semidirect
171. #10622267C22semidirect
172. #10622266C22semidirect
173. #10622266C22semidirect
174. #10622266C22semidirect
175. #10622266C22semidirect
176. #10622265C22semidirect
177. #10622265C22semidirect
178. #10622264C22semidirect
179. #10622264C22semidirect
180. #10622263C22semidirect
181. #10622263C22semidirect
182. #10622262C22semidirect
183. #10622261C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
206. C11×#123C2×C4semidirect
239. D4×Dic11C2×C4semidirect
243. C2×(C2×D11)⋊C4C2×C4semidirect
267. #66979C2×C4semidirect
313. #66951C2×C4semidirect
314. #66951C2×C4semidirect
315. #66950C2×C4semidirect
316. #66945C2×C4semidirect
317. #66939C2×C4semidirect
318. #66938C2×C4semidirect
319. #66936C2×C4semidirect
320. (C22⋊D11)⋊C4C2×C4semidirect
322. C22⋊C4×D11C2×C4semidirect
323. #66931C2×C4semidirect
581. C4×#123D11semidirect
790. #388C2×D11semidirect
791. #388C2×D11semidirect
806. #387C2×D11semidirect
807. #387C2×D11semidirect
857. C4×C4⋊C4C2×D11semidirect
858. C4×C4⋊C4C2×D11semidirect
869. C4×C22⋊C4C2×D11semidirect
870. C4×C22⋊C4C2×D11semidirect
960. #123C4×D11semidirect
1312. C11#34458semidirect

Maximal subgroups

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

subgroupindex
C2×#106231892
#130718062
#130717802
#130717622
#130717582
#130717302
#130716882
#130716222
#130716122
#130715932
#130715392
D4×Dic11⋊C42
#130715052
#130714782
#130714592
#130714582
#130714272
#130714082
#130713972
#130713852
#130713472
#130712992
#130712872
#130712792
#130712572
#130712422
#130712272
#130712222
#130710992
C2×#106225532
C4×C11×#1232
#3445811