Finite Group Databasebeta

← #14916834

Subgroups — #14916834

Order 2816.

2614 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623117C211yesmaximal, characteristic
2#13071783C211yesmaximal, characteristic, complemented
3#13071776C211yesmaximal, characteristic, complemented
4#13071774C211yesmaximal, characteristic, complemented
5#13071767C211yesmaximal, characteristic, complemented
6#13071600C211yesmaximal, characteristic, complemented
7#13071595C211yesmaximal, characteristic, complemented
8#13071595C211yesmaximal, characteristic, complemented
9#13071554C211yesmaximal, characteristic, complemented
10#13071550C211yesmaximal, characteristic, complemented
11#13071522C211yesmaximal, characteristic, complemented
12#13071521C211yesmaximal, characteristic, complemented
13#13071474C211yesmaximal, characteristic, complemented
14#13071470C211yesmaximal, characteristic, complemented
15#13071442C211yesmaximal, characteristic, complemented
16#13071441C211yesmaximal, characteristic, complemented
17#13071347C211yesmaximal, characteristic, complemented
18#13071344C211yesmaximal, characteristic, complemented
19#13071317C211yesmaximal, characteristic, complemented
20#13071314C211yesmaximal, characteristic, complemented
21#13071290C211yesmaximal, characteristic, complemented
22#13071287C211yesmaximal, characteristic, complemented
23#13071284C211yesmaximal, characteristic, complemented
24#13071281C211yesmaximal, characteristic, complemented
25#13071257C211yesmaximal, characteristic, complemented
26#13071253C211yesmaximal, characteristic, complemented
27#13071246C211yesmaximal, characteristic, complemented
28#13071242C211yesmaximal, characteristic, complemented
29C2×#10622556C211yesmaximal, characteristic, complemented
30C2×#10622555C211yesmaximal, characteristic, complemented
31C11×#2358C211yesmaximal, characteristic, complemented
32C24×Dic11C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C2×C11×#120C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C22×C11×C22⋊C4C2211yescharacteristic
38C22×C11×C22⋊C4C2211yescharacteristic
39C2×#67006C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C22×C22⋊Dic11C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66988C2211yescharacteristic
45C2×D4×Dic11C2211yescharacteristic
46C2×D4×Dic11C2211yescharacteristic
47C2×D4×Dic11C2211yescharacteristic
48C2×D4×Dic11C2211yescharacteristic
49C2×C4×C22⋊D11C2211yescharacteristic
50C2×C4×C22⋊D11C2211yescharacteristic
51C22×Dic11⋊C4C2211yescharacteristic
52C22×Dic11⋊C4C2211yescharacteristic
53#10623117C4116yescomplemented
54C2×#66939C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C2×#66931C2211yescharacteristic
60C2×#66931C2211yescharacteristic
61C2×#66930C2211yescharacteristic
62C11×#390C2211yescharacteristic
63C11×#388C2211yescharacteristic
64C11×#388C2211yescharacteristic
65C11×#386C2211yescharacteristic
66C11×#386C2211yescharacteristic
67C11×#386C2211yescharacteristic
68C11×#385C2211yescharacteristic
69C11×#385C2211yescharacteristic
70C4×C11×C22⋊C4C2211yescharacteristic
71C4×C11×C22⋊C4C2211yescharacteristic
72#10622834C2211yescharacteristic
73#10622833C2211yescharacteristic
74#10622833C2211yescharacteristic
75#10622833C2211yescharacteristic
76#10622826C2211yescharacteristic
77#10622826C2211yescharacteristic
78#10622826C2211yescharacteristic, complemented
79#10622823C2211yescharacteristic
80#10622823C2211yescharacteristic
81#10622823C2211yescharacteristic, complemented
82#10622823C2211yescharacteristic, complemented
83C4×C22⋊Dic11C2211yescharacteristic
84C4×C22⋊Dic11C2211yescharacteristic
85C2×C11⋊#95C2211yescharacteristic
86C2×C11⋊#95C2211yescharacteristic
87C2×C11⋊#95C2211yescharacteristic
88C2×C11⋊#95C2211yescharacteristic
89C2×C11⋊#95C2211yescharacteristic
90C2×C11⋊#95C2211yescharacteristic
91C2×C11⋊#95C2211yescharacteristic, complemented
92#10622602C2211yescharacteristic, complemented
93#10622602C2211yescharacteristic, complemented
94#10622600C2211yescharacteristic, complemented
95#10622591C2211yescharacteristic, complemented
96#10622591C2211yescharacteristic, complemented
97#10622590C2211yescharacteristic, complemented
98C4⋊C4×Dic11C2211yescharacteristic, complemented
99#10622587C2211yescharacteristic, complemented
100#10622586C2211yescharacteristic, complemented
101#10622586C2211yescharacteristic, complemented
102#10622585C2211yescharacteristic, complemented
103#10622585C2211yescharacteristic, complemented
104#10622571C2211yescharacteristic
105#10622571C2211yescharacteristic
106#10622571C2211yescharacteristic, complemented
107#10622570C2211yescharacteristic
108#10622570C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic, complemented
112#10622569C2211yescharacteristic, complemented
113#10622564C2211yescharacteristic
114#10622564C2211yescharacteristic
115#10622563C2211yescharacteristic
116#10622563C2211yescharacteristic
117#10622559C2211yescharacteristic
118#10622559C2211yescharacteristic
119#10622559C2211yescharacteristic, complemented
120#10622559C2211yescharacteristic, complemented
121#10622558C2211yescharacteristic
122#10622558C2211yescharacteristic
123#10622558C2211yescharacteristic, complemented
124#10622558C2211yescharacteristic, complemented
125#10622557C2211yescharacteristic
126#10622557C2211yescharacteristic
127#10622557C2211yescharacteristic, complemented
128#10622557C2211yescharacteristic, complemented
129#10622556C2211yescharacteristic
130#10622556C2211yescharacteristic
131#10622556C2211yescharacteristic
132#10622556C2211yescharacteristic
133#10622556C2211yescharacteristic
134#10622556C2211yescharacteristic
135#10622556C2211yescharacteristic
136#10622556C2211yescharacteristic
137#10622556C2211yescharacteristic, complemented
138#10622555C2211yescharacteristic
139#10622555C2211yescharacteristic
140#10622555C2211yescharacteristic
141#10622555C2211yescharacteristic
142#10622555C2211yescharacteristic
143#10622555C2211yescharacteristic
144#10622555C2211yescharacteristic
145#10622555C2211yescharacteristic
146#10622555C2211yescharacteristic, complemented
147C22⋊C4×Dic11C2211yescharacteristic
148C22⋊C4×Dic11C2211yescharacteristic
149C22⋊C4×Dic11C2211yescharacteristic
150C22⋊C4×Dic11C2211yescharacteristic
151C22⋊C4×Dic11C2211yescharacteristic, complemented
152#10622553C2211yescharacteristic, complemented
153#10622553C2211yescharacteristic, complemented
154C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
155#10622546C2211yescharacteristic, complemented
156#10622546C2211yescharacteristic, complemented
157#10622546C2211yescharacteristic, complemented
158#10622546C2211yescharacteristic, complemented
159#10622545C2211yescharacteristic, complemented
160C4×Dic11⋊C4C2211yescharacteristic, complemented
161#10622542C2211yescharacteristic, complemented
162#10622541C2211yescharacteristic, complemented
163#10622541C2211yescharacteristic, complemented
164#10622282C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622281C2211yescharacteristic, complemented
168#10622277C2211yescharacteristic, complemented
169D11×#95C2211yescharacteristic, complemented
170#10622268C2211yescharacteristic, complemented
171#10622268C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622267C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622265C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622264C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11—42no—
202C23×Dic11—42no—
203C23×Dic11C2×C418yescomplemented
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C2×#4341—42no—
217C2×#4341—42no—
218C2×#4341C2×C418yescomplemented
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×Dic22C2311yescharacteristic
223C11×#120C2×C418yescomplemented
224C4×D4×C11—42no—
225C4×D4×C11—42no—
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4—42no—
230C2×C11×C22⋊C4—42no—
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248#67006C2×C418yescomplemented
249C2×C22⋊Dic11—42no—
250C2×C22⋊Dic11—42no—
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267#66992C2×C418yescomplemented
268#66992C2×C418yescomplemented
269#66988C2×C418yescomplemented
270D4×Dic11—42no—
271D4×Dic11—42no—
272D4×Dic11C2×C418yescomplemented
273D4×Dic11C2×C418yescomplemented
274C4×C22⋊D11—42no—
275C4×C22⋊D11—42no—
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×Dic11⋊C4—42no—
290C2×Dic11⋊C4—42no—
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×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320#66939C2×C418yescomplemented
321(C22⋊D11)⋊C4—42no—
322(C22⋊D11)⋊C4—42no—
323(C22⋊D11)⋊C4C2×C418yescomplemented
324(C22⋊D11)⋊C4C2×C418yescomplemented
325#66931C2×C418yescomplemented
326#66931C2×C418yescomplemented
327#66930C2×C418yescomplemented
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
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376#34386—111nomaximal, Sylow
377C24×C11—22no—
378C24×C11—22no—
379C24×C11—22no—
380C24×C11—22no—
381C24×C11—41no—
382C24×C11—41no—
383C24×C11C22×C414yes—
384C24×C11C2411yescharacteristic
385C24×C11C2411yescharacteristic
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C2×D4×C11—22no—
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11C22×C414yes—
396C2×D4×C11C22×C414yes—
397C2×D4×C11C22×C414yes—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11C22×C414yes—
433C2×C22⋊D11C22×C414yes—
434C2×C22⋊D11C22×C414yes—
435C2×C22⋊D11C22×C414yes—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—22no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11—22no—
443C22×Dic11—22no—
444C22×Dic11—41no—
445C22×Dic11—41no—
446C22×Dic11—416no—
447C22×Dic11—41no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11—41no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11—41no—
462C22×Dic11—41no—
463C22×Dic11—41no—
464C22×Dic11—41no—
465C22×Dic11—41no—
466C22×Dic11C22×C414yes—
467C22×Dic11C22×C414yes—
468C22×Dic11C22×C414yes—
469C22×Dic11C22×C414yes—
470C22×Dic11C22×C414yes—
471C22×Dic11C22×C414yes—
472C22×Dic11C22×C414yes—
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488#4341—416no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—41no—
496C2×C4×D11—41no—
497C2×C4×D11C22×C414yes—
498C2×Dic22—41no—
499C2×Dic22—41no—
500C2×Dic22C22×C414yes—
501C11×C4⋊C4—41no—
502C11×C4⋊C4—41no—
503C11×C4⋊C4—41no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—41no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4—41no—
511C11×C22⋊C4—41no—
512C11×C22⋊C4—41no—
513C11×C22⋊C4—41no—
514C11×C22⋊C4—41no—
515C11×C22⋊C4C22×C414yes—
516C11×C22⋊C4C22×C414yes—
517C11×C22⋊C4C22×C414yes—
518C42×C11—41no—
519C42×C11—41no—
520C42×C11—41no—
521C22⋊Dic11—22no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
528C22⋊Dic11—41no—
529C22⋊Dic11—41no—
530C22⋊Dic11—41no—
531C22⋊Dic11—41no—
532C22⋊Dic11C22×C414yes—
533C22⋊Dic11C22×C414yes—
534C22⋊Dic11C22×C414yes—
535C22⋊Dic11C22×C414yes—
536C22⋊Dic11C22×C414yes—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4C22×C414yes—
544(C2×D11)⋊C4C22×C414yes—
545C4⋊Dic11—41no—
546C4⋊Dic11—41no—
547C4⋊Dic11—41no—
548C4⋊Dic11C22×C414yes—
549C4⋊Dic11C22×C414yes—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560Dic11⋊C4—41no—
561Dic11⋊C4—41no—
562Dic11⋊C4—41no—
563Dic11⋊C4—41no—
564Dic11⋊C4C22×C414yes—
565Dic11⋊C4C22×C414yes—
566Dic11⋊C4C22×C414yes—
567Dic11⋊C4C22×C414yes—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574C4×Dic11—41no—
575C4×Dic11—41no—
576C4×Dic11—41no—
577C4×Dic11C22×C414yes—
578C4×Dic11C22×C414yes—
579C2×#525—111no—
580#2378—111no—
581#2378—111no—
582#2377—111no—
583#2377—111no—
584#2358—111no—
585#2358—111no—
586#2358—111no—
587#2358D1111yescharacteristic, complemented
588#2353—111no—
589#2353—111no—
590#2349—111no—
591#2349—111no—
592#2343—111no—
593#2343—111no—
594#2339—111no—
595#2339—111no—
596#2329—111no—
597#2329—111no—
598#2325—111no—
599#2325—111no—
600#2322—111no—
601#2322—111no—
602#2322—111no—
603#2322—111no—
604#2319—111no—
605#2319—111no—
606#2318—111no—
607#2318—111no—
608C2×#381—111no—
609C2×#380—111no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—28no—
619C23×C11—28no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—44no—
633C23×C11—44no—
634C23×C11—44no—
635C23×C11—44no—
636C23×C11—44no—
637C23×C11C23×C412yes—
638C23×C11C23×C412yes—
639C23×C11C23×C412yes—
640C23×C11C23×C412yes—
641C23×C11H(5,𝔽2)12yes—
642C23×C11H(5,𝔽2)12yes—
643C23×C11H(5,𝔽2)12yes—
644C23×C112−1+412yes—
645C23×C11C2511yescharacteristic
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11C23×C412yes—
653D4×C11—28no—
654D4×C11—28no—
655D4×C11—44no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—82no—
687C2×C4×C11—82no—
688C2×C4×C11—82no—
689C2×C4×C11—82no—
690C2×C4×C11—82no—
691C2×C4×C11C23×C412yes—
692C2×C4×C11C23×C412yes—
693C2×C4×C11C23×C412yes—
694C22⋊D11—28no—
695C22⋊D11—28no—
696C22⋊D11—44no—
697C22⋊D11—44no—
698C2×Dic11—28no—
699C2×Dic11—28no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—44no—
739C2×Dic11—44no—
740C2×Dic11—44no—
741C2×Dic11—44no—
742C2×Dic11—44no—
743C2×Dic11—82no—
744C2×Dic11—82no—
745C2×Dic11—82no—
746C2×Dic11—82no—
747C2×Dic11—82no—
748C2×Dic11C23×C412yes—
749C2×Dic11C23×C412yes—
750C2×Dic11C23×C412yes—
751C2×Dic11C23×C412yes—
752C2×Dic11C23×C412yes—
753C2×Dic11C23×C412yes—
754C2×Dic11C23×C412yes—
755C4×D11—44no—
756C4×D11—82no—
757C4×D11—82no—
758Dic22—44no—
759C22×#41—111no—
760C24×C4—111no—
761#525—1116no—
762C2×#123—111no—
763C2×#123—111no—
764C2×C22⋊Q8—111no—
765C2×C22⋊Q8—111no—
766C2×#121—111no—
767C2×#121—111no—
768C2×#120—111no—
769C2×#120C2×D1111yescharacteristic
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4—111no—
777C2×C4×D4—111no—
778C2×C4×D4—111no—
779C2×C4×D4—111no—
780C2×C4×D4C2×D1111yescharacteristic
781C2×C4×D4C2×D1111yescharacteristic
782C2×#117—111no—
783C22×C4⋊C4—111no—
784C22×C4⋊C4—111no—
785C22×C22⋊C4—111no—
786C22×C22⋊C4—111no—
787C22×C22⋊C4C2×D1111yescharacteristic
788C22×C22⋊C4C2×D1111yescharacteristic
789#391—111no—
790#391—111no—
791#391—111no—
792#391—111no—
793#390—111no—
794#390—111no—
795#390—111no—
796#390C2×D1111yescharacteristic
797#389—111no—
798#389—111no—
799#389—111no—
800#389—111no—
801#389—111no—
802#389—111no—
803#389—111no—
804#389—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388—111no—
819#388C2×D1111yescharacteristic
820#388C2×D1111yescharacteristic
821#387—111no—
822#387—111no—
823#387—111no—
824#387—111no—
825#387—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387—111no—
834#387—111no—
835#387—111no—
836#387—111no—
837#386—111no—
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386—111no—
850#386C2×D1111yescharacteristic
851#386C2×D1111yescharacteristic
852#386C2×D1111yescharacteristic
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#385—111no—
859#385—111no—
860#385—111no—
861#385—111no—
862#385—111no—
863#385—111no—
864#385—111no—
865#385—111no—
866#385—111no—
867#385C2×D1111yescharacteristic
868#385C2×D1111yescharacteristic
869#383—111no—
870#383—111no—
871#382—111no—
872#382—111no—
873#381—111no—
874#381—111no—
875#381—111no—
876#381—111no—
877#381—111no—
878#381—111no—
879#381—111no—
880#381—111no—
881#381—111no—
882#381—111no—
883#380—111no—
884#380—111no—
885#380—111no—
886#380—111no—
887#380—111no—
888#380—111no—
889#380—111no—
890#380—111no—
891#380—111no—
892#380—111no—
893C4×C4⋊C4—111no—
894C4×C4⋊C4—111no—
895C4×C22⋊C4—111no—
896C4×C22⋊C4—111no—
897C4×C22⋊C4—111no—
898C4×C22⋊C4—111no—
899C4×C22⋊C4—111no—
900C4×C22⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4C2×D1111yescharacteristic
904C4×C22⋊C4C2×D1111yescharacteristic
905#376—111no—
906#376—111no—
907C2×#95—111no—
908C2×#95—111no—
909C2×#95—111no—
910C2×#95—111no—
911C2×#95—111no—
912C2×#95—111no—
913C2×#95—111no—
914C2×#95—111no—
915C22×C11—22no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—22no—
925C22×C11—22no—
926C22×C11—22no—
927C22×C11—22no—
928C22×C11—22no—
929C22×C11—22no—
930C22×C11—22no—
931C22×C11—22no—
932C22×C11—22no—
933C22×C11—416no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11#51814yes—
943C22×C11#52014yes—
944C22×C11C24×C411yescharacteristic
945C22×C11C2×H(5,𝔽2)11yescharacteristic
946C22×C11C2×H(5,𝔽2)11yescharacteristic
947C22×C11C2×H(5,𝔽2)11yescharacteristic
948C22×C11C2×2−1+411yescharacteristic
949C22×C11#58511yescharacteristic
950C22×C11#58511yescharacteristic
951C2×D11—22no—
952C2×D11—22no—
953C2×D11—22no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C4×C11—22no—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—41no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969Dic11—22no—
970Dic11—22no—
971Dic11—22no—
972Dic11—22no—
973Dic11—22no—
974Dic11—22no—
975Dic11—22no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984C25C22×D1111yescharacteristic
985C2×#41—118no—
986C2×#41—442no—
987C2×#41—442no—
988C22×Q8—111no—
989C22×D4—111no—
990C22×D4—111no—
991C22×D4—111no—
992C22×D4—111no—
993C22×D4C22×D1111yescharacteristic
994C22×D4C22×D1111yescharacteristic
995C22×D4C22×D1111yescharacteristic
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—118no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—442no—
1013C23×C4—442no—
1014C23×C4C22×D1111yescharacteristic
1015C23×C4C22×D1111yescharacteristic
1016C23×C4C22×D1111yescharacteristic
1017C23×C4C22×D1111yescharacteristic
1018C23×C4C22×D1111yescharacteristic
1019#123—118no—
1020#123—118no—
1021C22⋊Q8—118no—
1022C22⋊Q8—118no—
1023#121—118no—
1024#121—118no—
1025#120—118no—
1026#120C4×D1118yescomplemented
1027C4×D4—42no—
1028C4×D4—42no—
1029C4×D4—118no—
1030C4×D4—118no—
1031C4×D4—118no—
1032C4×D4—118no—
1033C4×D4—442no—
1034C4×D4—442no—
1035C4×D4—442no—
1036C4×D4—442no—
1037C4×D4—442no—
1038C4×D4—442no—
1039#117—118no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—442no—
1064C2×C4⋊C4—442no—
1065C2×C4⋊C4C22×D1111yescharacteristic
1066C2×C4⋊C4C22×D1111yescharacteristic
1067C2×C4⋊C4C22×D1111yescharacteristic
1068C2×C22⋊C4—42no—
1069C2×C22⋊C4—42no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—442no—
1095C2×C22⋊C4—442no—
1096C2×C22⋊C4C22×D1111yescharacteristic
1097C2×C22⋊C4C22×D1111yescharacteristic
1098C2×C22⋊C4C22×D1111yescharacteristic
1099C2×C22⋊C4C22×D1111yescharacteristic
1100C2×C22⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4C22×D1111yescharacteristic
1102C2×C22⋊C4C22×D1111yescharacteristic
1103C2×C22⋊C4C22×D1111yescharacteristic
1104C2×C22⋊C4C22×D1111yescharacteristic
1105C2×C22⋊C4C22×D1111yescharacteristic
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×C22⋊C4C22×D1111yescharacteristic
1108C2×C22⋊C4C22×D1111yescharacteristic
1109C2×C22⋊C4C22×D1111yescharacteristic
1110C2×C42—111no—
1111C2×C42—111no—
1112C2×C42—111no—
1113C2×C42—111no—
1114C2×C42—111no—
1115C2×C42—111no—
1116C2×C42—111no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42C22×D1111yescharacteristic
1122C2×C42C22×D1111yescharacteristic
1123C2×C42C22×D1111yescharacteristic
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95C22×D1111yescharacteristic
1167#95C22×D1111yescharacteristic
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172C2×C11—24no—
1173C2×C11—24no—
1174C2×C11—42no—
1175C2×C11—42no—
1176C2×C11C2×#51811yescharacteristic
1177C2×C11C2×#52011yescharacteristic
1178C2×C11#342811yescharacteristic
1179C2×C11#353411yescharacteristic
1180C2×C11#353411yescharacteristic
1181C2×C11#353511yescharacteristic
1182C2×C11#353511yescharacteristic
1183D11—42no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—111no—
1191C24C2×C4×D1114yes—
1192C24C23×D1111yescharacteristic
1193C24C23×D1111yescharacteristic
1194C24C23×D1111yescharacteristic
1195C24C23×D1111yescharacteristic
1196#41—4416no—
1197C2×Q8—114no—
1198C2×Q8—441no—
1199C2×Q8—441no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—114no—
1207C2×D4—114no—
1208C2×D4—114no—
1209C2×D4—114no—
1210C2×D4—222no—
1211C2×D4—222no—
1212C2×D4—222no—
1213C2×D4—222no—
1214C2×D4—441no—
1215C2×D4—441no—
1216C2×D4—441no—
1217C2×D4—441no—
1218C2×D4C2×C4×D1114yes—
1219C2×D4C2×C4×D1114yes—
1220C2×D4C2×C4×D1114yes—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—114no—
1237C22×C4—114no—
1238C22×C4—111no—
1239C22×C4—111no—
1240C22×C4—111no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—114no—
1246C22×C4—114no—
1247C22×C4—114no—
1248C22×C4—114no—
1249C22×C4—114no—
1250C22×C4—114no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—111no—
1254C22×C4—111no—
1255C22×C4—111no—
1256C22×C4—111no—
1257C22×C4—111no—
1258C22×C4—111no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—441no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—4416no—
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×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4—441no—
1293C22×C4—441no—
1294C22×C4—441no—
1295C22×C4—441no—
1296C22×C4—441no—
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C22×C4C23×D1111yescharacteristic
1306C22×C4C23×D1111yescharacteristic
1307C22×C4C23×D1111yescharacteristic
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—114no—
1312C4⋊C4—114no—
1313C4⋊C4—114no—
1314C4⋊C4—114no—
1315C4⋊C4—114no—
1316C4⋊C4—114no—
1317C4⋊C4—441no—
1318C4⋊C4—441no—
1319C4⋊C4—441no—
1320C4⋊C4—441no—
1321C4⋊C4—441no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C4⋊C4—441no—
1329C4⋊C4—441no—
1330C4⋊C4—441no—
1331C4⋊C4—441no—
1332C4⋊C4—441no—
1333C4⋊C4—441no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—114no—
1346C22⋊C4—114no—
1347C22⋊C4—114no—
1348C22⋊C4—114no—
1349C22⋊C4—114no—
1350C22⋊C4—114no—
1351C22⋊C4—114no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—441no—
1357C22⋊C4—441no—
1358C22⋊C4—441no—
1359C22⋊C4—441no—
1360C22⋊C4—441no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4C2×C4×D1114yes—
1370C22⋊C4C2×C4×D1114yes—
1371C22⋊C4C2×C4×D1114yes—
1372C42—41no—
1373C42—41no—
1374C42—41no—
1375C42—114no—
1376C42—114no—
1377C42—441no—
1378C42—441no—
1379C42—441no—
1380C42—441no—
1381C42—441no—
1382C42—441no—
1383C42—441no—
1384C42—441no—
1385C42—441no—
1386C11#3438611yescharacteristic, complemented, Sylow
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—28no—
1396C23—28no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—112no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23C22×C4×D1112yes—
1422C23C22×C4×D1112yes—
1423C23C22×C4×D1112yes—
1424C23C22×C4×D1112yes—
1425C23#6703712yes—
1426C23#6703712yes—
1427C23#6704212yes—
1428C23#6704312yes—
1429C23C24×D1111yescharacteristic
1430Q8—444no—
1431D4—28no—
1432D4—28no—
1433D4—44no—
1434D4—228no—
1435D4—228no—
1436D4—444no—
1437D4—444no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4—82no—
1472C2×C4—82no—
1473C2×C4—112no—
1474C2×C4—112no—
1475C2×C4—112no—
1476C2×C4—112no—
1477C2×C4—112no—
1478C2×C4—112no—
1479C2×C4—112no—
1480C2×C4—228no—
1481C2×C4—228no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—444no—
1521C2×C4—444no—
1522C2×C4—444no—
1523C2×C4—444no—
1524C2×C4—444no—
1525C2×C4—444no—
1526C2×C4—882no—
1527C2×C4—882no—
1528C2×C4—882no—
1529C2×C4—882no—
1530C2×C4—882no—
1531C2×C4—882no—
1532C2×C4—882no—
1533C2×C4C22×C4×D1112yes—
1534C2×C4C22×C4×D1112yes—
1535C2×C4C22×C4×D1112yes—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—416no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—222no—
1564C22—222no—
1565C22—222no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22—441no—
1570C22#1062307614yes—
1571C22#1062307714yes—
1572C22C23×C4×D1111yescharacteristic
1573C22C2×#6703711yescharacteristic
1574C22C2×#6703711yescharacteristic
1575C22C2×#6704211yescharacteristic
1576C22C2×#6704311yescharacteristic
1577C22#1062345511yescharacteristic
1578C22#1062345511yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—222no—
1591C4—222no—
1592C4—222no—
1593C4—222no—
1594C4—222no—
1595C4—222no—
1596C4—222no—
1597C4—441no—
1598C4—441no—
1599C4—441no—
1600C4—441no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4—441no—
1605C2—24no—
1606C2—24no—
1607C2—42no—
1608C2—42no—
1609C2—442no—
1610C2C2×#1062307611yescharacteristic
1611C2C2×#1062307711yescharacteristic
1612C2#1308181411yescharacteristic
1613C2#1308279411yescharacteristic
1614C2#1308280211yescharacteristic
1615C2#1308281311yescharacteristic
1616C2#1308282111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2358C2
socle, cosocleC23×C11C25
prime radicalC2×#10623117C2
hypercenter#2358D11
hypocenterC11#34386
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. #13071783C2semidirect
3. #13071776C2semidirect
4. #13071774C2semidirect
5. #13071767C2semidirect
6. #13071600C2semidirect
7. #13071595C2semidirect
8. #13071595C2semidirect
9. #13071554C2semidirect
10. #13071550C2semidirect
11. #13071522C2semidirect
12. #13071521C2semidirect
13. #13071474C2semidirect
14. #13071470C2semidirect
15. #13071442C2semidirect
16. #13071441C2semidirect
17. #13071347C2semidirect
18. #13071344C2semidirect
19. #13071317C2semidirect
20. #13071314C2semidirect
21. #13071290C2semidirect
22. #13071287C2semidirect
23. #13071284C2semidirect
24. #13071281C2semidirect
25. #13071257C2semidirect
26. #13071253C2semidirect
27. #13071246C2semidirect
28. #13071242C2semidirect
29. C2×#10622556C2semidirect
30. C2×#10622555C2semidirect
31. C11×#2358C2semidirect
53. #10623117C4semidirect
78. #10622826C22semidirect
81. #10622823C22semidirect
82. #10622823C22semidirect
91. C2×C11⋊#95C22semidirect
92. #10622602C22semidirect
93. #10622602C22semidirect
94. #10622600C22semidirect
95. #10622591C22semidirect
96. #10622591C22semidirect
97. #10622590C22semidirect
98. C4⋊C4×Dic11C22semidirect
99. #10622587C22semidirect
100. #10622586C22semidirect
101. #10622586C22semidirect
102. #10622585C22semidirect
103. #10622585C22semidirect
106. #10622571C22semidirect
111. #10622569C22semidirect
112. #10622569C22semidirect
119. #10622559C22semidirect
120. #10622559C22semidirect
123. #10622558C22semidirect
124. #10622558C22semidirect
127. #10622557C22semidirect
128. #10622557C22semidirect
137. #10622556C22semidirect
146. #10622555C22semidirect
151. C22⋊C4×Dic11C22semidirect
152. #10622553C22semidirect
153. #10622553C22semidirect
154. C4×(C2×D11)⋊C4C22semidirect
155. #10622546C22semidirect
156. #10622546C22semidirect
157. #10622546C22semidirect
158. #10622546C22semidirect
159. #10622545C22semidirect
160. C4×Dic11⋊C4C22semidirect
161. #10622542C22semidirect
162. #10622541C22semidirect
163. #10622541C22semidirect
164. #10622282C22semidirect
165. #10622282C22semidirect
166. #10622281C22semidirect
167. #10622281C22semidirect
168. #10622277C22semidirect
169. D11×#95C22semidirect
170. #10622268C22semidirect
171. #10622268C22semidirect
172. #10622267C22semidirect
173. #10622267C22semidirect
174. #10622266C22semidirect
175. #10622266C22semidirect
176. #10622265C22semidirect
177. #10622265C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622264C22semidirect
181. #10622264C22semidirect
182. #10622263C22semidirect
183. #10622261C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
203. C23×Dic11C2×C4semidirect
218. C2×#4341C2×C4semidirect
223. C11×#120C2×C4semidirect
248. #67006C2×C4semidirect
267. #66992C2×C4semidirect
268. #66992C2×C4semidirect
269. #66988C2×C4semidirect
272. D4×Dic11C2×C4semidirect
273. D4×Dic11C2×C4semidirect
320. #66939C2×C4semidirect
323. (C22⋊D11)⋊C4C2×C4semidirect
324. (C22⋊D11)⋊C4C2×C4semidirect
325. #66931C2×C4semidirect
326. #66931C2×C4semidirect
327. #66930C2×C4semidirect
587. #2358D11semidirect
1026. #120C4×D11semidirect
1386. C11#34386semidirect

Maximal subgroups

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

subgroupindex
C2×#106231172
#130717832
#130717762
#130717742
#130717672
#130716002
#130715952
#130715542
#130715502
#130715222
#130715212
#130714742
#130714702
#130714422
#130714412
#130713472
#130713442
#130713172
#130713142
#130712902
#130712872
#130712842
#130712812
#130712572
#130712532
#130712462
#130712422
C2×#106225562
C2×#106225552
C11×#23582
#3438611