Finite Group Databasebeta

← #14915094

Subgroups — #14915094

Order 2816.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1464 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623095C211yesmaximal, characteristic
2#13071750C211yesmaximal, characteristic, complemented
3#13071747C211yesmaximal, characteristic, complemented
4#13071738C211yesmaximal, characteristic, complemented
5#13071737C211yesmaximal, characteristic, complemented
6#13071736C211yesmaximal, characteristic, complemented
7#13071732C211yesmaximal, characteristic, complemented
8#13071721C211yesmaximal, characteristic, complemented
9#13071719C211yesmaximal, characteristic, complemented
10#13071713C211yesmaximal, characteristic, complemented
11#13071710C211yesmaximal, characteristic, complemented
12#13071700C211yesmaximal, characteristic, complemented
13#13071696C211yesmaximal, characteristic, complemented
14#13071644C211yesmaximal, characteristic, complemented
15#13071641C211yesmaximal, characteristic, complemented
16#13071609C211yesmaximal, characteristic, complemented
17#13071604C211yesmaximal, characteristic, complemented
18#13071344C211yesmaximal, characteristic, complemented
19#13071314C211yesmaximal, characteristic
20#13071287C211yesmaximal, characteristic, complemented
21#13071281C211yesmaximal, characteristic, complemented
22#13071216C211yesmaximal, characteristic, complemented
23C4×#66931C211yesmaximal, characteristic, complemented
24C4×#66939C211yesmaximal, characteristic, complemented
25C4×#66988C211yesmaximal, characteristic, complemented
26C4×#66992C211yesmaximal, characteristic
27#13071061C211yesmaximal, characteristic, complemented
28#13071055C211yesmaximal, characteristic, complemented
29#13070974C211yesmaximal, characteristic, complemented
30C2×#10622262C211yesmaximal, characteristic, complemented
31C11×#2275C211yesmaximal, characteristic, complemented
32C2×C4×D4×C11C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×#66992C2211yescharacteristic
36C2×#66988C2211yescharacteristic
37C2×#66982C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×#66979C2211yescharacteristic
43C2×#66977C2211yescharacteristic
44C22×Dic11⋊C4C2211yescharacteristic
45C22×Dic11⋊C4C2211yescharacteristic
46C22×C4×Dic11C2211yescharacteristic
47C22×C4×Dic11C2211yescharacteristic
48C22×C4×Dic11C2211yescharacteristic
49#10623095C4116yescomplemented
50C2×#66949C2211yescharacteristic
51C2×#66942C2211yescharacteristic
52C2×#66939C2211yescharacteristic
53C2×#66936C2211yescharacteristic
54C2×#66932C2211yescharacteristic
55C2×#66931C2211yescharacteristic
56C2×#66929C2211yescharacteristic
57C2×#66925C2211yescharacteristic
58C2×#66923C2211yescharacteristic
59C2×C4×Dic22C2211yescharacteristic
60C4×C11×C4⋊C4C2211yescharacteristic
61C4×C11×C4⋊C4C2211yescharacteristic
62C4×C11×C4⋊C4C2211yescharacteristic
63C4×C11×C22⋊C4C2211yescharacteristic
64C4×C11×C22⋊C4C2211yescharacteristic
65C4×C11×C22⋊C4C2211yescharacteristic
66C4×C11×C22⋊C4C2211yescharacteristic
67C4×C11×C22⋊C4C2211yescharacteristic
68C4×C11×C22⋊C4C2211yescharacteristic
69C11×#376C2211yescharacteristic
70C2×C11×#95C2211yescharacteristic
71C2×C11×#95C2211yescharacteristic
72#10622833C2211yescharacteristic
73#10622833C2211yescharacteristic
74#10622826C2211yescharacteristic
75#10622823C2211yescharacteristic
76#10622823C2211yescharacteristic
77#10622823C2211yescharacteristic
78C4×C22⋊Dic11C2211yescharacteristic
79C4×C22⋊Dic11C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic
81C4×C22⋊Dic11C2211yescharacteristic
82C4×C22⋊Dic11C2211yescharacteristic
83C4×C22⋊Dic11C2211yescharacteristic
84C4×C22⋊Dic11C2211yescharacteristic
85C2×C11⋊#95C2211yescharacteristic
86#10622603C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622594C2211yescharacteristic
89#10622594C2211yescharacteristic
90#10622591C2211yescharacteristic
91#10622591C2211yescharacteristic
92#10622591C2211yescharacteristic
93#10622585C2211yescharacteristic
94#10622585C2211yescharacteristic
95#10622585C2211yescharacteristic
96#10622571C2211yescharacteristic
97#10622571C2211yescharacteristic
98#10622570C2211yescharacteristic
99#10622569C2211yescharacteristic
100#10622564C2211yescharacteristic
101#10622564C2211yescharacteristic
102#10622563C2211yescharacteristic
103#10622563C2211yescharacteristic
104#10622559C2211yescharacteristic
105#10622559C2211yescharacteristic
106#10622558C2211yescharacteristic
107#10622558C2211yescharacteristic
108#10622558C2211yescharacteristic
109#10622557C2211yescharacteristic
110#10622557C2211yescharacteristic
111#10622557C2211yescharacteristic
112#10622556C2211yescharacteristic
113#10622556C2211yescharacteristic
114#10622555C2211yescharacteristic
115#10622555C2211yescharacteristic
116#10622553C2211yescharacteristic
117#10622553C2211yescharacteristic
118#10622553C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×C4⋊Dic11C2211yescharacteristic
124C4×C4⋊Dic11C2211yescharacteristic
125C4×C4⋊Dic11C2211yescharacteristic
126C4×C4⋊Dic11C2211yescharacteristic
127#10622546C2211yescharacteristic
128#10622546C2211yescharacteristic
129#10622546C2211yescharacteristic
130#10622546C2211yescharacteristic
131#10622546C2211yescharacteristic
132#10622546C2211yescharacteristic
133#10622546C2211yescharacteristic
134#10622546C2211yescharacteristic
135#10622546C2211yescharacteristic
136#10622545C2211yescharacteristic
137#10622545C2211yescharacteristic
138C4×Dic11⋊C4C2211yescharacteristic
139C4×Dic11⋊C4C2211yescharacteristic
140C4×Dic11⋊C4C2211yescharacteristic
141C4×Dic11⋊C4C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C4×Dic11⋊C4C2211yescharacteristic
144#10622542C2211yescharacteristic
145#10622541C2211yescharacteristic
146#10622541C2211yescharacteristic
147#10622541C2211yescharacteristic
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622282C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157D11×#95C2211yescharacteristic
158#10622268C2211yescharacteristic
159#10622268C2211yescharacteristic
160#10622267C2211yescharacteristic
161#10622267C2211yescharacteristic
162#10622266C2211yescharacteristic
163#10622266C2211yescharacteristic
164#10622266C2211yescharacteristic
165#10622266C2211yescharacteristic
166#10622265C2211yescharacteristic
167#10622265C2211yescharacteristic
168#10622265C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622265C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622261C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×Dic22C2311yescharacteristic
205C4×D4×C11—24no—
206C4×D4×C11—24no—
207C4×D4×C11C2×C418yescomplemented
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236#66992C2×C418yes—
237#66988C2×C418yescomplemented
238#66982C2×C418yescomplemented
239C4×C22⋊D11—24no—
240C4×C22⋊D11—24no—
241C4×C22⋊D11—42no—
242C4×C22⋊D11C2×C418yescomplemented
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253#66979—42no—
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261#66977C2×C418yescomplemented
262C2×Dic11⋊C4—24no—
263C2×Dic11⋊C4C2×C418yescomplemented
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×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×C4×Dic11—24no—
289C2×C4×Dic11—42no—
290C2×C4×Dic11—42no—
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
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
312#66949C2×C418yescomplemented
313#66942C2×C418yescomplemented
314#66939C2×C418yescomplemented
315#66936C2×C418yescomplemented
316#66932C2×C418yescomplemented
317#66931C2×C418yescomplemented
318#66929C2×C418yescomplemented
319#66925—42no—
320#66923C2×C418yescomplemented
321C4×Dic22—42no—
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370#34278—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C2×D4×C11—22no—
375C2×D4×C11—22no—
376C2×D4×C11C22×C414yes—
377C22×C4×C11—22no—
378C22×C4×C11—22no—
379C22×C4×C11—41no—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
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×C11C22×C414yes—
392C22×C4×C11C22×C414yes—
393C22×C4×C11#4114yes—
394C22×C4×C11#4114yes—
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
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—41no—
411C2×C22⋊D11—41no—
412C2×C22⋊D11C22×C414yes—
413C2×C22⋊D11C22×C414yes—
414C22×Dic11—22no—
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×Dic11C22×C414yes—
425C22×Dic11C22×C414yes—
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11C22×C414yes—
450C2×Dic22—41no—
451C2×Dic22—41no—
452C2×Dic22C22×C414yes—
453C11×C4⋊C4—22no—
454C11×C4⋊C4—22no—
455C11×C4⋊C4C22×C414yes—
456C11×C22⋊C4—22no—
457C11×C22⋊C4—22no—
458C11×C22⋊C4—22no—
459C11×C22⋊C4—22no—
460C11×C22⋊C4C22×C414yes—
461C11×C22⋊C4C22×C414yes—
462C42×C11—22no—
463C42×C11—22no—
464C42×C11—41no—
465C42×C11—41no—
466C42×C11—41no—
467C42×C11—41no—
468C42×C11—41no—
469C42×C11—41no—
470C42×C11C22×C414yes—
471C22⋊Dic11—22no—
472C22⋊Dic11—22no—
473C22⋊Dic11—22no—
474C22⋊Dic11—22no—
475C22⋊Dic11—41no—
476C22⋊Dic11—41no—
477C22⋊Dic11C22×C414yes—
478C22⋊Dic11C22×C414yes—
479C22⋊Dic11C22×C414yes—
480C22⋊Dic11C22×C414yes—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—41no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4C22×C414yes—
488(C2×D11)⋊C4C22×C414yes—
489(C2×D11)⋊C4C22×C414yes—
490(C2×D11)⋊C4C22×C414yes—
491C4⋊Dic11—22no—
492C4⋊Dic11—22no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495C4⋊Dic11C22×C414yes—
496C4⋊Dic11C22×C414yes—
497C4⋊Dic11C22×C414yes—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—22no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—22no—
504Dic11⋊C4—22no—
505Dic11⋊C4—22no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4C22×C414yes—
513Dic11⋊C4C22×C414yes—
514Dic11⋊C4C22×C414yes—
515Dic11⋊C4C22×C414yes—
516Dic11⋊C4C22×C414yes—
517Dic11⋊C4C22×C414yes—
518Dic11⋊C4C22×C414yes—
519Dic11⋊C4C22×C414yes—
520Dic11⋊C4C22×C414yes—
521Dic11⋊C4C22×C414yes—
522C4×Dic11—22no—
523C4×Dic11—22no—
524C4×Dic11—22no—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—22no—
531C4×Dic11—22no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539C4×Dic11—41no—
540C4×Dic11—41no—
541C4×Dic11—41no—
542C4×Dic11C22×C414yes—
543C2×#539—111no—
544#2374—111no—
545#2374—111no—
546#2373—111no—
547#2373—111no—
548#2373—111no—
549#2373—111no—
550#2371—111no—
551#2371—111no—
552#2370—111no—
553#2370—111no—
554#2368—111no—
555#2368—111no—
556#2362—111no—
557#2362—111no—
558#2359—111no—
559#2359—111no—
560#2329—111no—
561#2325—111no—
562#2322—111no—
563#2322—111no—
564#2313—111no—
565C4×C22⋊Q8—111no—
566C4×#123—111no—
567C4×#123—111no—
568C4×#121—111no—
569#2290—111no—
570#2290—111no—
571#2275—111no—
572#2275D1111yescharacteristic, complemented
573C2×C4×C4⋊C4—111no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11C23×C412yes—
585C23×C11C23×C412yes—
586C23×C11C2×#4112yes—
587C23×C11C2×#4112yes—
588C23×C11C2511yescharacteristic
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11C23×C412yes—
596D4×C11—28no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—44no—
628C2×C4×C11—44no—
629C2×C4×C11—44no—
630C2×C4×C11—44no—
631C2×C4×C11—82no—
632C2×C4×C11—82no—
633C2×C4×C11C23×C412yes—
634C2×C4×C11C23×C412yes—
635C2×C4×C11C23×C412yes—
636C2×C4×C11C23×C412yes—
637C2×C4×C11C23×C412yes—
638C2×C4×C11C2×#4112yes—
639C2×C4×C11C2×#4112yes—
640C2×C4×C11C2×#4112yes—
641C2×C4×C11C2×#4112yes—
642C22⋊D11—28no—
643C22⋊D11—44no—
644C2×Dic11—28no—
645C2×Dic11—28no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—44no—
683C2×Dic11—44no—
684C2×Dic11C23×C412yes—
685C2×Dic11C23×C412yes—
686C2×Dic11C23×C412yes—
687C2×Dic11C23×C412yes—
688C2×Dic11C23×C412yes—
689C2×Dic11C23×C412yes—
690C2×Dic11C23×C412yes—
691C2×Dic11H(5,𝔽2)12yes—
692C2×Dic112−1+412yes—
693C4×D11—44no—
694C4×D11—82no—
695C4×D11—82no—
696Dic22—44no—
697#539—1116no—
698C2×#126—111no—
699C2×#126—111no—
700C2×#125—111no—
701C2×#125—111no—
702C2×#123—111no—
703C2×#123—111no—
704C2×#123—111no—
705C2×#123—111no—
706C2×C22⋊Q8—111no—
707C2×C22⋊Q8—111no—
708C2×C22⋊Q8—111no—
709C2×#121—111no—
710C2×C4×Q8—111no—
711C2×C4×D4—111no—
712C2×C4×D4—111no—
713C2×C4×D4—111no—
714C2×C4×D4—111no—
715C2×C4×D4C2×D1111yescharacteristic
716C2×C4×D4C2×D1111yescharacteristic
717C2×C4×D4C2×D1111yescharacteristic
718C2×#117—111no—
719C2×#117—111no—
720C22×C4⋊C4—111no—
721C22×C4⋊C4—111no—
722C22×C42—111no—
723C22×C42—111no—
724C22×C42—111no—
725#391—111no—
726#391—111no—
727#391—111no—
728#390—111no—
729#389—111no—
730#389—111no—
731#389—111no—
732#389—111no—
733#389—111no—
734#389—111no—
735#389—111no—
736#389—111no—
737#388—111no—
738#388—111no—
739#388—111no—
740#388—111no—
741#388—111no—
742#388—111no—
743#388—111no—
744#388—111no—
745#388—111no—
746#388—111no—
747#388—111no—
748#388—111no—
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#387—111no—
754#387—111no—
755#387—111no—
756#387—111no—
757#387—111no—
758#387—111no—
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387—111no—
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#386—111no—
782#386—111no—
783#386—111no—
784#386—111no—
785#386—111no—
786#386—111no—
787#385—111no—
788#385—111no—
789#385—111no—
790#385—111no—
791#385—111no—
792#385—111no—
793#385—111no—
794#385—111no—
795#385—111no—
796#385—111no—
797#381—111no—
798#381—111no—
799#380—111no—
800#380—111no—
801C4×C4⋊C4—111no—
802C4×C4⋊C4—111no—
803C4×C4⋊C4—111no—
804C4×C4⋊C4—111no—
805C4×C4⋊C4—111no—
806C4×C4⋊C4—111no—
807C4×C4⋊C4—111no—
808C4×C4⋊C4—111no—
809C4×C4⋊C4—111no—
810C4×C4⋊C4—111no—
811C4×C4⋊C4—111no—
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4—111no—
815C4×C4⋊C4—111no—
816C4×C4⋊C4—111no—
817C4×C4⋊C4—111no—
818C4×C4⋊C4—111no—
819C4×C4⋊C4—111no—
820C4×C4⋊C4—111no—
821C4×C4⋊C4—111no—
822C4×C4⋊C4C2×D1111yescharacteristic
823C4×C4⋊C4C2×D1111yescharacteristic
824C4×C4⋊C4C2×D1111yescharacteristic
825C4×C22⋊C4—111no—
826C4×C22⋊C4—111no—
827C4×C22⋊C4—111no—
828C4×C22⋊C4—111no—
829C4×C22⋊C4—111no—
830C4×C22⋊C4—111no—
831C4×C22⋊C4—111no—
832C4×C22⋊C4—111no—
833C4×C22⋊C4—111no—
834C4×C22⋊C4—111no—
835C4×C22⋊C4—111no—
836C4×C22⋊C4—111no—
837C4×C22⋊C4—111no—
838C4×C22⋊C4—111no—
839C4×C22⋊C4C2×D1111yescharacteristic
840C4×C22⋊C4C2×D1111yescharacteristic
841C4×C22⋊C4C2×D1111yescharacteristic
842C4×C22⋊C4C2×D1111yescharacteristic
843C4×C22⋊C4C2×D1111yescharacteristic
844C4×C22⋊C4C2×D1111yescharacteristic
845#376—111no—
846#376—111no—
847#376—111no—
848#376C2×D1111yescharacteristic
849C2×#95—111no—
850C2×#95—111no—
851C2×#95C2×D1111yescharacteristic
852C2×#95C2×D1111yescharacteristic
853C22×C11—22no—
854C22×C11—22no—
855C22×C11—22no—
856C22×C11—22no—
857C22×C11—22no—
858C22×C11—22no—
859C22×C11—22no—
860C22×C11—22no—
861C22×C11—22no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11C4×#4114yes—
867C22×C11C24×C411yescharacteristic
868C22×C11C22×#4111yescharacteristic
869C22×C11C22×#4111yescharacteristic
870C22×C11C2×H(5,𝔽2)11yescharacteristic
871C22×C11C2×2−1+411yescharacteristic
872C22×C11#58511yescharacteristic
873C22×C11#58511yescharacteristic
874C2×D11—22no—
875C2×D11—22no—
876C2×D11—22no—
877C2×D11—41no—
878C2×D11—41no—
879C2×D11—41no—
880C2×D11—41no—
881C4×C11—22no—
882C4×C11—22no—
883C4×C11—22no—
884C4×C11—22no—
885C4×C11—22no—
886C4×C11—22no—
887C4×C11—22no—
888C4×C11—22no—
889C4×C11—22no—
890C4×C11—41no—
891C4×C11—41no—
892C4×C11—41no—
893C4×C11—41no—
894Dic11—22no—
895Dic11—22no—
896Dic11—22no—
897Dic11—22no—
898Dic11—22no—
899Dic11—22no—
900Dic11—22no—
901Dic11—22no—
902Dic11—22no—
903Dic11—41no—
904Dic11—41no—
905Dic11—41no—
906Dic11—41no—
907Dic11—41no—
908Dic11—41no—
909C22×Q8—111no—
910C22×D4—111no—
911C22×D4—111no—
912C22×D4C22×D1111yescharacteristic
913C23×C4—111no—
914C23×C4—111no—
915C23×C4—111no—
916C23×C4—111no—
917C23×C4—111no—
918C23×C4—111no—
919C23×C4—111no—
920C23×C4C22×D1111yescharacteristic
921C23×C4C22×D1111yescharacteristic
922C23×C4C22×D1111yescharacteristic
923C23×C4C22×D1111yescharacteristic
924C23×C4C22×D1111yescharacteristic
925C23×C4C22×D1111yescharacteristic
926#126—118no—
927#126—118no—
928#125—118no—
929#125—118no—
930#123—118no—
931#123—118no—
932#123—118no—
933#123—118no—
934C22⋊Q8—118no—
935C22⋊Q8—118no—
936C22⋊Q8—118no—
937#121—118no—
938C4×Q8—442no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—118no—
942C4×D4—224no—
943C4×D4—224no—
944C4×D4—442no—
945C4×D4C4×D1118yescomplemented
946#117—442no—
947#117—442no—
948C2×C4⋊C4—118no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—224no—
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
983C2×C4⋊C4C22×D1111yescharacteristic
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4C22×D1111yescharacteristic
1005C2×C22⋊C4C22×D1111yescharacteristic
1006C2×C22⋊C4C22×D1111yescharacteristic
1007C2×C22⋊C4C22×D1111yescharacteristic
1008C2×C22⋊C4C22×D1111yescharacteristic
1009C2×C22⋊C4C22×D1111yescharacteristic
1010C2×C42—111no—
1011C2×C42—111no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42—111no—
1019C2×C42—111no—
1020C2×C42—111no—
1021C2×C42—111no—
1022C2×C42—111no—
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42—224no—
1032C2×C42—442no—
1033C2×C42—442no—
1034C2×C42C22×D1111yescharacteristic
1035C2×C42C22×D1111yescharacteristic
1036C2×C42C22×D1111yescharacteristic
1037C2×C42C22×D1111yescharacteristic
1038C2×C42C22×D1111yescharacteristic
1039C2×C42C22×D1111yescharacteristic
1040C2×C42C22×D1111yescharacteristic
1041C2×C42C22×D1111yescharacteristic
1042C2×C42C22×D1111yescharacteristic
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95C22×D1111yescharacteristic
1082#95C22×D1111yescharacteristic
1083#95C22×D1111yescharacteristic
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091C2×C11—24no—
1092C2×C11—42no—
1093C2×C11C2×C4×#4111yescharacteristic
1094C2×C11C4×H(5,𝔽2)11yescharacteristic
1095C2×C11C4×2−1+411yescharacteristic
1096C2×C11#349111yescharacteristic
1097C2×C11#349211yescharacteristic
1098C2×C11#350511yescharacteristic
1099C2×C11#350711yescharacteristic
1100D11—42no—
1101C24—111no—
1102C24C23×D1111yescharacteristic
1103C24C23×D1111yescharacteristic
1104C2×Q8—114no—
1105C2×Q8—441no—
1106C2×Q8—441no—
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—114no—
1110C2×D4—114no—
1111C2×D4—222no—
1112C2×D4—222no—
1113C2×D4—441no—
1114C2×D4—441no—
1115C2×D4C2×C4×D1114yes—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—114no—
1131C22×C4—111no—
1132C22×C4—111no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—111no—
1136C22×C4—111no—
1137C22×C4—111no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—114no—
1141C22×C4—114no—
1142C22×C4—111no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—222no—
1149C22×C4—222no—
1150C22×C4—222no—
1151C22×C4—222no—
1152C22×C4—222no—
1153C22×C4—222no—
1154C22×C4—222no—
1155C22×C4—222no—
1156C22×C4—441no—
1157C22×C4—441no—
1158C22×C4—441no—
1159C22×C4—441no—
1160C22×C4—441no—
1161C22×C4—441no—
1162C22×C4—441no—
1163C22×C4—441no—
1164C22×C4—441no—
1165C22×C4—441no—
1166C22×C4C2×C4×D1114yes—
1167C22×C4C2×C4×D1114yes—
1168C22×C4#433914yes—
1169C22×C4#433914yes—
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1111yescharacteristic
1175C22×C4C23×D1111yescharacteristic
1176C22×C4C23×D1111yescharacteristic
1177C22×C4C23×D1111yescharacteristic
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C22×C4C23×D1111yescharacteristic
1183C4⋊C4—22no—
1184C4⋊C4—22no—
1185C4⋊C4—114no—
1186C4⋊C4—114no—
1187C4⋊C4—114no—
1188C4⋊C4—114no—
1189C4⋊C4—114no—
1190C4⋊C4—114no—
1191C4⋊C4—114no—
1192C4⋊C4—114no—
1193C4⋊C4—114no—
1194C4⋊C4—114no—
1195C4⋊C4—114no—
1196C4⋊C4—114no—
1197C4⋊C4—114no—
1198C4⋊C4—222no—
1199C4⋊C4—222no—
1200C4⋊C4—222no—
1201C4⋊C4—222no—
1202C4⋊C4—222no—
1203C4⋊C4—222no—
1204C4⋊C4—222no—
1205C4⋊C4—222no—
1206C4⋊C4—222no—
1207C4⋊C4—222no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C4⋊C4—441no—
1214C4⋊C4—441no—
1215C4⋊C4—441no—
1216C4⋊C4C2×C4×D1114yes—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—114no—
1222C22⋊C4—114no—
1223C22⋊C4—114no—
1224C22⋊C4—114no—
1225C22⋊C4—114no—
1226C22⋊C4—114no—
1227C22⋊C4—114no—
1228C22⋊C4—114no—
1229C22⋊C4—222no—
1230C22⋊C4—222no—
1231C22⋊C4—222no—
1232C22⋊C4—222no—
1233C22⋊C4—222no—
1234C22⋊C4—222no—
1235C22⋊C4—222no—
1236C22⋊C4—222no—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C22⋊C4C2×C4×D1114yes—
1242C22⋊C4C2×C4×D1114yes—
1243C42—22no—
1244C42—22no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C42—41no—
1249C42—41no—
1250C42—41no—
1251C42—114no—
1252C42—222no—
1253C42—222no—
1254C42—222no—
1255C42—222no—
1256C42—222no—
1257C42—222no—
1258C42—222no—
1259C42—222no—
1260C42—222no—
1261C42—222no—
1262C42—441no—
1263C42—441no—
1264C42—441no—
1265C42—441no—
1266C42—441no—
1267C42—441no—
1268C42—441no—
1269C42—441no—
1270C42—441no—
1271C42—441no—
1272C42C2×C4×D1114yes—
1273C11#3427811yescharacteristic, complemented, Sylow
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—112no—
1285C23—221no—
1286C23—221no—
1287C23—221no—
1288C23—221no—
1289C23—221no—
1290C23—221no—
1291C23C22×C4×D1112yes—
1292C23C22×C4×D1112yes—
1293C23C2×#433912yes—
1294C23C2×#433912yes—
1295C23C24×D1111yescharacteristic
1296Q8—444no—
1297D4—28no—
1298D4—228no—
1299D4—444no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—44no—
1331C2×C4—44no—
1332C2×C4—44no—
1333C2×C4—44no—
1334C2×C4—82no—
1335C2×C4—82no—
1336C2×C4—112no—
1337C2×C4—112no—
1338C2×C4—112no—
1339C2×C4—112no—
1340C2×C4—112no—
1341C2×C4—112no—
1342C2×C4—112no—
1343C2×C4—112no—
1344C2×C4—112no—
1345C2×C4—228no—
1346C2×C4—228no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—444no—
1384C2×C4—444no—
1385C2×C4—444no—
1386C2×C4—882no—
1387C2×C4—882no—
1388C2×C4C22×C4×D1112yes—
1389C2×C4C22×C4×D1112yes—
1390C2×C4C22×C4×D1112yes—
1391C2×C4C22×C4×D1112yes—
1392C2×C4C22×C4×D1112yes—
1393C2×C4C2×#433912yes—
1394C2×C4C2×#433912yes—
1395C2×C4C2×#433912yes—
1396C2×C4C2×#433912yes—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—22no—
1401C22—22no—
1402C22—22no—
1403C22—22no—
1404C22—22no—
1405C22—22no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—222no—
1411C22—222no—
1412C22—222no—
1413C22—441no—
1414C22—441no—
1415C22—441no—
1416C22—441no—
1417C22C4×#433914yes—
1418C22C23×C4×D1111yescharacteristic
1419C22C22×#433911yescharacteristic
1420C22C22×#433911yescharacteristic
1421C22D11×H(5,𝔽2)11yescharacteristic
1422C22#1062345511yescharacteristic
1423C22#1062345511yescharacteristic
1424C22D11×2−1+411yescharacteristic
1425C4—22no—
1426C4—22no—
1427C4—22no—
1428C4—22no—
1429C4—22no—
1430C4—22no—
1431C4—22no—
1432C4—22no—
1433C4—22no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—222no—
1439C4—222no—
1440C4—222no—
1441C4—222no—
1442C4—222no—
1443C4—222no—
1444C4—222no—
1445C4—222no—
1446C4—222no—
1447C4—441no—
1448C4—441no—
1449C4—441no—
1450C4—441no—
1451C4—441no—
1452C4—441no—
1453C2—24no—
1454C2—42no—
1455C2—442no—
1456C2C2×C4×#433911yescharacteristic
1457C2#1308182011yescharacteristic
1458C2#1308182711yescharacteristic
1459C2#1308230911yescharacteristic
1460C2#1308231911yescharacteristic
1461C2#1308244611yescharacteristic
1462C2#1308247411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2275C2
socle, cosocleC23×C11C25
prime radicalC2×#66992C22
hypercenter#2275D11
hypocenterC11#34278
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2275

Complements

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

NH ≅ G/Ntype
2. #13071750C2semidirect
3. #13071747C2semidirect
4. #13071738C2semidirect
5. #13071737C2semidirect
6. #13071736C2semidirect
7. #13071732C2semidirect
8. #13071721C2semidirect
9. #13071719C2semidirect
10. #13071713C2semidirect
11. #13071710C2semidirect
12. #13071700C2semidirect
13. #13071696C2semidirect
14. #13071644C2semidirect
15. #13071641C2semidirect
16. #13071609C2semidirect
17. #13071604C2semidirect
18. #13071344C2semidirect
20. #13071287C2semidirect
21. #13071281C2semidirect
22. #13071216C2semidirect
23. C4×#66931C2semidirect
24. C4×#66939C2semidirect
25. C4×#66988C2semidirect
27. #13071061C2semidirect
28. #13071055C2semidirect
29. #13070974C2semidirect
30. C2×#10622262C2semidirect
31. C11×#2275C2semidirect
49. #10623095C4semidirect
207. C4×D4×C11C2×C4semidirect
237. #66988C2×C4semidirect
238. #66982C2×C4semidirect
242. C4×C22⋊D11C2×C4semidirect
261. #66977C2×C4semidirect
263. C2×Dic11⋊C4C2×C4semidirect
312. #66949C2×C4semidirect
313. #66942C2×C4semidirect
314. #66939C2×C4semidirect
315. #66936C2×C4semidirect
316. #66932C2×C4semidirect
317. #66931C2×C4semidirect
318. #66929C2×C4semidirect
320. #66923C2×C4semidirect
572. #2275D11semidirect
945. C4×D4C4×D11semidirect
1273. C11#34278semidirect

Maximal subgroups

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

subgroupindex
C2×#106230952
#130717502
#130717472
#130717382
#130717372
#130717362
#130717322
#130717212
#130717192
#130717132
#130717102
#130717002
#130716962
#130716442
#130716412
#130716092
#130716042
#130713442
#130713142
#130712872
#130712812
#130712162
C4×#669312
C4×#669392
C4×#669882
C4×#669922
#130710612
#130710552
#130709742
C2×#106222622
C11×#22752
#3427811