Finite Group Databasebeta

← #14918343

Subgroups — #14918343

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×#10623026C211yesmaximal, characteristic
2#13071804C211yesmaximal, characteristic, complemented
3#13071783C211yesmaximal, characteristic, complemented
4#13071765C211yesmaximal, characteristic, complemented
5#13071762C211yesmaximal, characteristic, complemented
6#13071738C211yesmaximal, characteristic, complemented
7#13071688C211yesmaximal, characteristic, complemented
8#13071619C211yesmaximal, characteristic, complemented
9#13071608C211yesmaximal, characteristic, complemented
10#13071595C211yesmaximal, characteristic
11#13071544C211yesmaximal, characteristic, complemented
12#13071512C211yesmaximal, characteristic, complemented
13#13071506C211yesmaximal, characteristic, complemented
14#13071478C211yesmaximal, characteristic, complemented
15#13071467C211yesmaximal, characteristic, complemented
16#13071424C211yesmaximal, characteristic, complemented
17#13071411C211yesmaximal, characteristic, complemented
18#13071393C211yesmaximal, characteristic, complemented
19#13071392C211yesmaximal, characteristic, complemented
20#13071346C211yesmaximal, characteristic, complemented
21#13071295C211yesmaximal, characteristic, complemented
22#13071283C211yesmaximal, characteristic, complemented
23#13071271C211yesmaximal, characteristic
24#13071257C211yesmaximal, characteristic, complemented
25#13071243C211yesmaximal, characteristic, complemented
26#13071228C211yesmaximal, characteristic, complemented
27#13071220C211yesmaximal, characteristic, complemented
28#13071133C211yesmaximal, characteristic, complemented
29#13071098C211yesmaximal, characteristic, complemented
30C2×#10622564C211yesmaximal, characteristic, complemented
31C11×#2342C211yesmaximal, characteristic, complemented
32C2×C11×#117C2211yescharacteristic
33C22×C11×C22⋊C4C2211yescharacteristic
34C22×C11×C22⋊C4C2211yescharacteristic
35C2×#67006C2211yescharacteristic
36C22×C22⋊Dic11C2211yescharacteristic
37C22×C22⋊Dic11C2211yescharacteristic
38C22×C22⋊Dic11C2211yescharacteristic
39C2×#66982C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×#66979C2211yescharacteristic
43C22×C4⋊Dic11C2211yescharacteristic
44C2×#66977C2211yescharacteristic
45C22×C4×Dic11C2211yescharacteristic
46C2×C4⋊C4×D11C2211yescharacteristic, complemented
47#10623026C4116yescomplemented
48C2×#66939C2211yescharacteristic
49C2×#66938C2211yescharacteristic
50C2×#66936C2211yescharacteristic
51C2×(C22⋊D11)⋊C4C2211yescharacteristic
52C2×(C22⋊D11)⋊C4C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic
54C2×#66932C2211yescharacteristic
55C2×#66932C2211yescharacteristic
56C2×#66931C2211yescharacteristic
57C2×#66930C2211yescharacteristic
58C2×#66930C2211yescharacteristic
59C2×C4×Dic22C2211yescharacteristic, complemented
60C11×#388C2211yescharacteristic
61C11×#388C2211yescharacteristic
62C11×#388C2211yescharacteristic
63C11×#388C2211yescharacteristic
64C11×#385C2211yescharacteristic
65C11×#385C2211yescharacteristic
66C11×#381C2211yescharacteristic
67C11×#380C2211yescharacteristic
68C11×#379C2211yescharacteristic
69C4×C11×C22⋊C4C2211yescharacteristic
70C4×C11×C22⋊C4C2211yescharacteristic
71C4×C11×C22⋊C4C2211yescharacteristic
72#10622826C2211yescharacteristic
73#10622823C2211yescharacteristic
74#10622823C2211yescharacteristic
75#10622823C2211yescharacteristic
76#10622823C2211yescharacteristic
77#10622823C2211yescharacteristic
78C4×C22⋊Dic11C2211yescharacteristic
79C2×C11⋊#95C2211yescharacteristic
80C2×C11⋊#95C2211yescharacteristic
81#10622603C2211yescharacteristic, complemented
82#10622602C2211yescharacteristic, complemented
83#10622600C2211yescharacteristic, complemented
84#10622591C2211yescharacteristic, complemented
85#10622591C2211yescharacteristic, complemented
86#10622591C2211yescharacteristic, complemented
87#10622589C2211yescharacteristic, complemented
88C4⋊C4×Dic11C2211yescharacteristic, complemented
89#10622586C2211yescharacteristic, complemented
90#10622586C2211yescharacteristic, complemented
91#10622586C2211yescharacteristic, complemented
92#10622586C2211yescharacteristic, complemented
93#10622585C2211yescharacteristic, complemented
94#10622585C2211yescharacteristic, complemented
95#10622585C2211yescharacteristic, complemented
96#10622571C2211yescharacteristic
97#10622571C2211yescharacteristic
98#10622570C2211yescharacteristic
99#10622570C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622569C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622564C2211yescharacteristic
105#10622564C2211yescharacteristic
106#10622564C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622564C2211yescharacteristic
109#10622564C2211yescharacteristic
110#10622564C2211yescharacteristic
111#10622564C2211yescharacteristic
112#10622559C2211yescharacteristic
113#10622559C2211yescharacteristic
114#10622559C2211yescharacteristic
115#10622559C2211yescharacteristic
116#10622559C2211yescharacteristic
117#10622559C2211yescharacteristic
118#10622559C2211yescharacteristic
119#10622559C2211yescharacteristic
120#10622558C2211yescharacteristic
121#10622558C2211yescharacteristic
122#10622558C2211yescharacteristic
123#10622558C2211yescharacteristic
124#10622558C2211yescharacteristic
125#10622557C2211yescharacteristic
126#10622557C2211yescharacteristic
127#10622557C2211yescharacteristic
128#10622557C2211yescharacteristic
129#10622557C2211yescharacteristic
130#10622556C2211yescharacteristic
131#10622555C2211yescharacteristic
132#10622555C2211yescharacteristic
133#10622555C2211yescharacteristic
134#10622555C2211yescharacteristic
135#10622555C2211yescharacteristic
136C22⋊C4×Dic11C2211yescharacteristic
137C22⋊C4×Dic11C2211yescharacteristic
138C22⋊C4×Dic11C2211yescharacteristic
139C22⋊C4×Dic11C2211yescharacteristic
140C22⋊C4×Dic11C2211yescharacteristic
141#10622553C2211yescharacteristic, complemented
142#10622553C2211yescharacteristic, complemented
143#10622553C2211yescharacteristic, complemented
144C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
145C4×C4⋊Dic11C2211yescharacteristic, complemented
146#10622546C2211yescharacteristic, complemented
147#10622546C2211yescharacteristic, complemented
148#10622546C2211yescharacteristic, complemented
149C4×Dic11⋊C4C2211yescharacteristic, complemented
150C4×Dic11⋊C4C2211yescharacteristic, complemented
151C4×Dic11⋊C4C2211yescharacteristic, complemented
152C4×Dic11⋊C4C2211yescharacteristic, complemented
153C4×Dic11⋊C4C2211yescharacteristic, complemented
154#10622542C2211yescharacteristic, complemented
155#10622541C2211yescharacteristic, complemented
156#10622282C2211yescharacteristic, complemented
157#10622282C2211yescharacteristic, complemented
158#10622281C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic, complemented
160#10622280C2211yescharacteristic, complemented
161#10622279C2211yescharacteristic, complemented
162#10622279C2211yescharacteristic, complemented
163#10622277C2211yescharacteristic, complemented
164#10622268C2211yescharacteristic, complemented
165#10622268C2211yescharacteristic, complemented
166#10622267C2211yescharacteristic, complemented
167#10622267C2211yescharacteristic, complemented
168#10622266C2211yescharacteristic, complemented
169#10622266C2211yescharacteristic, complemented
170#10622266C2211yescharacteristic, complemented
171#10622266C2211yescharacteristic, complemented
172#10622265C2211yescharacteristic, complemented
173#10622265C2211yescharacteristic, complemented
174#10622264C2211yescharacteristic, complemented
175#10622264C2211yescharacteristic, complemented
176#10622263C2211yescharacteristic, complemented
177#10622263C2211yescharacteristic, complemented
178#10622262C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622261C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C11×#117—42no—
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4—42no—
212C2×C11×C22⋊C4C2×C418yescomplemented
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×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231#67006C2×C418yes—
232C2×C22⋊Dic11—42no—
233C2×C22⋊Dic11—42no—
234C2×C22⋊Dic11C2×C418yescomplemented
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250#66982C2×C418yescomplemented
251C4×C22⋊D11—42no—
252C4×C22⋊D11C2×C418yescomplemented
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
262#66979C2×C418yescomplemented
263C2×C4⋊Dic11—42no—
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271#66977C2×C418yescomplemented
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×C4×Dic11—42no—
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C4⋊C4×D11—42no—
314#66939C2×C418yescomplemented
315#66938C2×C418yescomplemented
316#66936C2×C418yescomplemented
317(C22⋊D11)⋊C4—42no—
318(C22⋊D11)⋊C4—42no—
319(C22⋊D11)⋊C4C2×C418yescomplemented
320#66932C2×C418yescomplemented
321#66932C2×C418yescomplemented
322#66931C2×C418yescomplemented
323#66930—42no—
324#66930C2×C418yescomplemented
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×C11—22no—
372C24×C11—22no—
373C24×C11—41no—
374C24×C11—41no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11C22×C414yes—
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C24×C11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C22×C4×C11—22no—
383C22×C4×C11—22no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11—41no—
388C22×C4×C11—41no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11C22×C414yes—
393C22×C4×C11C22×C414yes—
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
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
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—41no—
409C2×C22⋊D11—41no—
410C2×C22⋊D11—41no—
411C2×C22⋊D11—41no—
412C2×C22⋊D11C22×C414yes—
413C2×C22⋊D11C22×C414yes—
414C2×C22⋊D11C22×C414yes—
415C22×Dic11—22no—
416C22×Dic11—22no—
417C22×Dic11—22no—
418C22×Dic11—22no—
419C22×Dic11—22no—
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×Dic11—41no—
430C22×Dic11—41no—
431C22×Dic11C22×C414yes—
432C22×Dic11C22×C414yes—
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C2×C4×D11—22no—
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×D11—41no—
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⋊C4—41no—
464C11×C22⋊C4—22no—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—41no—
469C11×C22⋊C4—41no—
470C11×C22⋊C4—41no—
471C11×C22⋊C4—41no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4C22×C414yes—
475C11×C22⋊C4C22×C414yes—
476C11×C22⋊C4C22×C414yes—
477C11×C22⋊C4C22×C414yes—
478C42×C11—41no—
479C42×C11—41no—
480C42×C11—41no—
481C42×C11—41no—
482C22⋊Dic11—22no—
483C22⋊Dic11—22no—
484C22⋊Dic11—41no—
485C22⋊Dic11—41no—
486C22⋊Dic11—41no—
487C22⋊Dic11—41no—
488C22⋊Dic11—41no—
489C22⋊Dic11—41no—
490C22⋊Dic11C22×C414yes—
491C22⋊Dic11C22×C414yes—
492C22⋊Dic11C22×C414yes—
493C22⋊Dic11C22×C414yes—
494C22⋊Dic11C22×C414yes—
495C22⋊Dic11C22×C414yes—
496C22⋊Dic11C22×C414yes—
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)⋊C4—41no—
503(C2×D11)⋊C4C22×C414yes—
504(C2×D11)⋊C4C22×C414yes—
505(C2×D11)⋊C4C22×C414yes—
506C4⋊Dic11—22no—
507C4⋊Dic11—22no—
508C4⋊Dic11—41no—
509C4⋊Dic11—41no—
510C4⋊Dic11C22×C414yes—
511C4⋊Dic11C22×C414yes—
512C4⋊Dic11C22×C414yes—
513Dic11⋊C4—22no—
514Dic11⋊C4—22no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4—41no—
530Dic11⋊C4—41no—
531Dic11⋊C4C22×C414yes—
532Dic11⋊C4C22×C414yes—
533Dic11⋊C4C22×C414yes—
534Dic11⋊C4C22×C414yes—
535Dic11⋊C4C22×C414yes—
536C4×Dic11—22no—
537C4×Dic11—41no—
538C4×Dic11—41no—
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#2342D1111yescharacteristic, complemented
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×#123—111no—
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×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—28no—
601C23×C11—44no—
602C23×C11—44no—
603C23×C11—82no—
604C23×C11—82no—
605C23×C11—82no—
606C23×C11—82no—
607C23×C11C23×C412yes—
608C23×C11C23×C412yes—
609C23×C11C23×C412yes—
610C23×C11H(5,𝔽2)12yes—
611C23×C112−1+412yes—
612C23×C11C2511yescharacteristic
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11C23×C412yes—
620C2×C4×C11—28no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—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—44no—
654C2×C4×C11—82no—
655C2×C4×C11—82no—
656C2×C4×C11C23×C412yes—
657C2×C4×C11C23×C412yes—
658C2×C4×C11C23×C412yes—
659C2×C4×C11C23×C412yes—
660C22⋊D11—28no—
661C22⋊D11—44no—
662C22⋊D11—44no—
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—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—44no—
701C2×Dic11—44no—
702C2×Dic11—44no—
703C2×Dic11—44no—
704C2×Dic11—82no—
705C2×Dic11—82no—
706C2×Dic11C23×C412yes—
707C2×Dic11C23×C412yes—
708C2×Dic11C23×C412yes—
709C2×Dic11C23×C412yes—
710C2×Dic11C23×C412yes—
711C2×Dic11C23×C412yes—
712C2×Dic11C23×C412yes—
713C2×Dic11H(5,𝔽2)12yes—
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×#123—111no—
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×D4—111no—
734C2×#117—111no—
735C2×#117—111no—
736C2×#117—111no—
737C2×#117C2×D1111yescharacteristic
738C22×C4⋊C4—111no—
739C22×C4⋊C4—111no—
740C22×C22⋊C4—111no—
741C22×C22⋊C4—111no—
742C22×C22⋊C4—111no—
743C22×C22⋊C4C2×D1111yescharacteristic
744C22×C22⋊C4C2×D1111yescharacteristic
745C22×C42—111no—
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#388C2×D1111yescharacteristic
789#388C2×D1111yescharacteristic
790#388C2×D1111yescharacteristic
791#388C2×D1111yescharacteristic
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#387—111no—
807#387—111no—
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—111no—
813#386—111no—
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#385C2×D1111yescharacteristic
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#380C2×D1111yescharacteristic
848#379C2×D1111yescharacteristic
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⋊C4—111no—
858C4×C4⋊C4—111no—
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
870C4×C22⋊C4C2×D1111yescharacteristic
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—22no—
884C22×C11—22no—
885C22×C11—22no—
886C22×C11—41no—
887C22×C11—41no—
888C22×C11—41no—
889C22×C11—41no—
890C22×C11—41no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11—88no—
895C22×C11#52014yes—
896C22×C11C24×C411yescharacteristic
897C22×C11C2×H(5,𝔽2)11yescharacteristic
898C22×C11C2×H(5,𝔽2)11yescharacteristic
899C22×C11C2×2−1+411yescharacteristic
900C22×C11#58511yescharacteristic
901C22×C11#58511yescharacteristic
902C22×C11#58511yescharacteristic
903C2×D11—22no—
904C2×D11—22no—
905C2×D11—22no—
906C2×D11—41no—
907C2×D11—41no—
908C2×D11—41no—
909C2×D11—41no—
910C4×C11—22no—
911C4×C11—22no—
912C4×C11—22no—
913C4×C11—22no—
914C4×C11—41no—
915C4×C11—41no—
916C4×C11—41no—
917C4×C11—41no—
918C4×C11—41no—
919C4×C11—41no—
920C4×C11—41no—
921C4×C11—41no—
922Dic11—22no—
923Dic11—22no—
924Dic11—22no—
925Dic11—22no—
926Dic11—22no—
927Dic11—22no—
928Dic11—22no—
929Dic11—22no—
930Dic11—41no—
931Dic11—41no—
932Dic11—41no—
933Dic11—41no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937C25C22×D1111yescharacteristic
938C22×Q8—111no—
939C22×D4—111no—
940C22×D4—111no—
941C22×D4—111no—
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#123—118no—
961C22⋊Q8—118no—
962C22⋊Q8—118no—
963#120—118no—
964C4×Q8—442no—
965C4×D4—118no—
966C4×D4—118no—
967C4×D4—442no—
968C4×D4—442no—
969C4×D4—442no—
970#117—42no—
971#117—118no—
972#117—118no—
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—111no—
1004C2×C4⋊C4—442no—
1005C2×C4⋊C4—442no—
1006C2×C4⋊C4C22×D1111yescharacteristic
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4—42no—
1011C2×C22⋊C4—118no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
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—111no—
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—442no—
1037C2×C22⋊C4—442no—
1038C2×C22⋊C4C4×D1118yescomplemented
1039C2×C22⋊C4C22×D1111yescharacteristic
1040C2×C22⋊C4C22×D1111yescharacteristic
1041C2×C22⋊C4C22×D1111yescharacteristic
1042C2×C22⋊C4C22×D1111yescharacteristic
1043C2×C22⋊C4C22×D1111yescharacteristic
1044C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
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×C42—111no—
1069C2×C42—111no—
1070C2×C42—442no—
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#95—111no—
1110#95—111no—
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×C11—42no—
1122C2×C11C2×#52011yescharacteristic
1123C2×C11#342811yescharacteristic
1124C2×C11C4×H(5,𝔽2)11yescharacteristic
1125C2×C11#353311yescharacteristic
1126C2×C11#353411yescharacteristic
1127C2×C11#356111yescharacteristic
1128C2×C11#356411yescharacteristic
1129D11—42no—
1130C24—22no—
1131C24—22no—
1132C24—41no—
1133C24—41no—
1134C24—41no—
1135C24—41no—
1136C24—111no—
1137C24C2×C4×D1114yes—
1138C24C23×D1111yescharacteristic
1139C24C23×D1111yescharacteristic
1140C24C23×D1111yescharacteristic
1141C2×Q8—114no—
1142C2×Q8—441no—
1143C2×Q8—441no—
1144C2×D4—114no—
1145C2×D4—114no—
1146C2×D4—114no—
1147C2×D4—222no—
1148C2×D4—222no—
1149C2×D4—441no—
1150C2×D4—441no—
1151C2×D4—441no—
1152C2×D4—441no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—111no—
1164C22×C4—111no—
1165C22×C4—111no—
1166C22×C4—111no—
1167C22×C4—111no—
1168C22×C4—111no—
1169C22×C4—111no—
1170C22×C4—111no—
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—222no—
1182C22×C4—222no—
1183C22×C4—222no—
1184C22×C4—222no—
1185C22×C4—222no—
1186C22×C4—222no—
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×C4C2×C4×D1114yes—
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—41no—
1223C4⋊C4—114no—
1224C4⋊C4—114no—
1225C4⋊C4—114no—
1226C4⋊C4—114no—
1227C4⋊C4—114no—
1228C4⋊C4—114no—
1229C4⋊C4—114no—
1230C4⋊C4—114no—
1231C4⋊C4—222no—
1232C4⋊C4—222no—
1233C4⋊C4—222no—
1234C4⋊C4—222no—
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⋊C4—441no—
1252C4⋊C4—441no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—114no—
1264C22⋊C4—114no—
1265C22⋊C4—114no—
1266C22⋊C4—114no—
1267C22⋊C4—114no—
1268C22⋊C4—114no—
1269C22⋊C4—114no—
1270C22⋊C4—114no—
1271C22⋊C4—114no—
1272C22⋊C4—114no—
1273C22⋊C4—222no—
1274C22⋊C4—222no—
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⋊C4C2×C4×D1114yes—
1288C22⋊C4C2×C4×D1114yes—
1289C22⋊C4C2×C4×D1114yes—
1290C22⋊C4C2×C4×D1114yes—
1291C42—41no—
1292C42—41no—
1293C42—41no—
1294C42—41no—
1295C42—114no—
1296C42—114no—
1297C42—114no—
1298C42—222no—
1299C42—441no—
1300C42—441no—
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—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—28no—
1330C23—44no—
1331C23—44no—
1332C23—82no—
1333C23—82no—
1334C23—82no—
1335C23—82no—
1336C23—112no—
1337C23—221no—
1338C23—221no—
1339C23—221no—
1340C23—221no—
1341C23—221no—
1342C23—221no—
1343C23C22×C4×D1112yes—
1344C23C22×C4×D1112yes—
1345C23C22×C4×D1112yes—
1346C23#6703712yes—
1347C23#6704312yes—
1348C23C24×D1111yescharacteristic
1349Q8—444no—
1350D4—228no—
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—44no—
1387C2×C4—82no—
1388C2×C4—82no—
1389C2×C4—112no—
1390C2×C4—112no—
1391C2×C4—112no—
1392C2×C4—112no—
1393C2×C4—112no—
1394C2×C4—112no—
1395C2×C4—112no—
1396C2×C4—112no—
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—221no—
1433C2×C4—221no—
1434C2×C4—444no—
1435C2×C4—444no—
1436C2×C4—444no—
1437C2×C4—444no—
1438C2×C4—444no—
1439C2×C4—882no—
1440C2×C4—882no—
1441C2×C4—882no—
1442C2×C4—882no—
1443C2×C4C22×C4×D1112yes—
1444C2×C4C22×C4×D1112yes—
1445C2×C4C22×C4×D1112yes—
1446C2×C4C22×C4×D1112yes—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—88no—
1468C22—222no—
1469C22—222no—
1470C22—222no—
1471C22—441no—
1472C22—441no—
1473C22—441no—
1474C22—441no—
1475C22#1062307714yes—
1476C22C23×C4×D1111yescharacteristic
1477C22C2×#6703711yescharacteristic
1478C22C2×#6704311yescharacteristic
1479C22#1062345311yescharacteristic
1480C22#1062345311yescharacteristic
1481C22D11×H(5,𝔽2)11yescharacteristic
1482C22#1062345511yescharacteristic
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—222no—
1496C4—222no—
1497C4—222no—
1498C4—222no—
1499C4—222no—
1500C4—222no—
1501C4—222no—
1502C4—222no—
1503C4—441no—
1504C4—441no—
1505C4—441no—
1506C4—441no—
1507C4—441no—
1508C4—441no—
1509C4—441no—
1510C2—24no—
1511C2—42no—
1512C2—42no—
1513C2—442no—
1514C2C2×#1062307711yescharacteristic
1515C2#1308181711yescharacteristic
1516C2#1308182011yescharacteristic
1517C2#1308277511yescharacteristic
1518C2#1308279811yescharacteristic
1519C2#1308317411yescharacteristic
1520C2#1308322811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2342C2
socle, cosocleC23×C11C25
prime radicalC2×#67006C22
hypercenter#2342D11
hypocenterC11#34458
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
2. #13071804C2semidirect
3. #13071783C2semidirect
4. #13071765C2semidirect
5. #13071762C2semidirect
6. #13071738C2semidirect
7. #13071688C2semidirect
8. #13071619C2semidirect
9. #13071608C2semidirect
11. #13071544C2semidirect
12. #13071512C2semidirect
13. #13071506C2semidirect
14. #13071478C2semidirect
15. #13071467C2semidirect
16. #13071424C2semidirect
17. #13071411C2semidirect
18. #13071393C2semidirect
19. #13071392C2semidirect
20. #13071346C2semidirect
21. #13071295C2semidirect
22. #13071283C2semidirect
24. #13071257C2semidirect
25. #13071243C2semidirect
26. #13071228C2semidirect
27. #13071220C2semidirect
28. #13071133C2semidirect
29. #13071098C2semidirect
30. C2×#10622564C2semidirect
31. C11×#2342C2semidirect
46. C2×C4⋊C4×D11C22semidirect
47. #10623026C4semidirect
59. C2×C4×Dic22C22semidirect
81. #10622603C22semidirect
82. #10622602C22semidirect
83. #10622600C22semidirect
84. #10622591C22semidirect
85. #10622591C22semidirect
86. #10622591C22semidirect
87. #10622589C22semidirect
88. C4⋊C4×Dic11C22semidirect
89. #10622586C22semidirect
90. #10622586C22semidirect
91. #10622586C22semidirect
92. #10622586C22semidirect
93. #10622585C22semidirect
94. #10622585C22semidirect
95. #10622585C22semidirect
141. #10622553C22semidirect
142. #10622553C22semidirect
143. #10622553C22semidirect
144. C4×(C2×D11)⋊C4C22semidirect
145. C4×C4⋊Dic11C22semidirect
146. #10622546C22semidirect
147. #10622546C22semidirect
148. #10622546C22semidirect
149. C4×Dic11⋊C4C22semidirect
150. C4×Dic11⋊C4C22semidirect
151. C4×Dic11⋊C4C22semidirect
152. C4×Dic11⋊C4C22semidirect
153. C4×Dic11⋊C4C22semidirect
154. #10622542C22semidirect
155. #10622541C22semidirect
156. #10622282C22semidirect
157. #10622282C22semidirect
158. #10622281C22semidirect
159. #10622281C22semidirect
160. #10622280C22semidirect
161. #10622279C22semidirect
162. #10622279C22semidirect
163. #10622277C22semidirect
164. #10622268C22semidirect
165. #10622268C22semidirect
166. #10622267C22semidirect
167. #10622267C22semidirect
168. #10622266C22semidirect
169. #10622266C22semidirect
170. #10622266C22semidirect
171. #10622266C22semidirect
172. #10622265C22semidirect
173. #10622265C22semidirect
174. #10622264C22semidirect
175. #10622264C22semidirect
176. #10622263C22semidirect
177. #10622263C22semidirect
178. #10622262C22semidirect
179. #10622262C22semidirect
180. #10622262C22semidirect
181. #10622261C22semidirect
182. #10622260C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
212. C2×C11×C22⋊C4C2×C4semidirect
234. C2×C22⋊Dic11C2×C4semidirect
250. #66982C2×C4semidirect
252. C4×C22⋊D11C2×C4semidirect
262. #66979C2×C4semidirect
271. #66977C2×C4semidirect
314. #66939C2×C4semidirect
315. #66938C2×C4semidirect
316. #66936C2×C4semidirect
319. (C22⋊D11)⋊C4C2×C4semidirect
320. #66932C2×C4semidirect
321. #66932C2×C4semidirect
322. #66931C2×C4semidirect
324. #66930C2×C4semidirect
568. #2342D11semidirect
1038. C2×C22⋊C4C4×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×#106230262
#130718042
#130717832
#130717652
#130717622
#130717382
#130716882
#130716192
#130716082
#130715952
#130715442
#130715122
#130715062
#130714782
#130714672
#130714242
#130714112
#130713932
#130713922
#130713462
#130712952
#130712832
#130712712
#130712572
#130712432
#130712282
#130712202
#130711332
#130710982
C2×#106225642
C11×#23422
#3445811