Finite Group Databasebeta

← #14961303

Subgroups — #14961303

Order 2816.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623091C211yesmaximal, characteristic, complemented
2#13076945C211yesmaximal, characteristic, complemented
3#13076919C211yesmaximal, characteristic, complemented
4#13075529C211yesmaximal, characteristic, complemented
5#13075436C211yesmaximal, characteristic, complemented
6#13075423C211yesmaximal, characteristic, complemented
7#13075382C211yesmaximal, characteristic, complemented
8#13075208C211yesmaximal, characteristic, complemented
9#13075184C211yesmaximal, characteristic, complemented
10#13075160C211yesmaximal, characteristic, complemented
11#13075091C211yesmaximal, characteristic, complemented
12#13075046C211yesmaximal, characteristic, complemented
13#13075016C211yesmaximal, characteristic, complemented
14#13075001C211yesmaximal, characteristic, complemented
15#13074992C211yesmaximal, characteristic, complemented
16#13074912C211yesmaximal, characteristic, complemented
17#13074892C211yesmaximal, characteristic, complemented
18#13074837C211yesmaximal, characteristic, complemented
19#13074819C211yesmaximal, characteristic, complemented
20#13074767C211yesmaximal, characteristic, complemented
21#13074744C211yesmaximal, characteristic, complemented
22#13074303C211yesmaximal, characteristic, complemented
23#13074248C211yesmaximal, characteristic, complemented
24#13074230C211yesmaximal, characteristic, complemented
25#13074213C211yesmaximal, characteristic, complemented
26#13074104C211yesmaximal, characteristic, complemented
27#13073775C211yesmaximal, characteristic, complemented
28#13072046C211yesmaximal, characteristic, complemented
29#13072002C211yesmaximal, characteristic, complemented
30#13071061C211yesmaximal, characteristic, complemented
31C2×C11×#542C211yesmaximal, characteristic, complemented
32C11×#542—28no—
33C2×C11×C4⋊Q8C2211yescharacteristic, complemented
34C2×C11×#126C2211yescharacteristic
35C2×C11×#126C2211yescharacteristic, complemented
36C2×C11×#124C2211yescharacteristic
37C2×C11×#124C2211yescharacteristic
38C2×C11×#124C2211yescharacteristic, complemented
39C2×C11×#123C2211yescharacteristic
40C2×C11×#123C2211yescharacteristic, complemented
41C2×C11×C22⋊Q8C2211yescharacteristic
42C2×C11×C22⋊Q8C2211yescharacteristic, complemented
43C2×C11×C22⋊Q8C2211yescharacteristic, complemented
44C2×C11×#121C2211yescharacteristic
45C2×C4×Q8×C11C2211yescharacteristic, complemented
46C2×C4×D4×C11C2211yescharacteristic
47C2×C11×#117C2211yescharacteristic, complemented
48C2×#67000C2211yescharacteristic
49C2×#66999C2211yescharacteristic, complemented
50C2×#66992C2211yescharacteristic
51C2×#66992C2211yescharacteristic
52C2×#66990C2211yescharacteristic
53C2×#66990C2211yescharacteristic
54C2×#66983C2211yescharacteristic
55C2×#66982C2211yescharacteristic
56C2×C4×C22⋊D11C2211yescharacteristic
57C22×(C2×D11)⋊C4C2211yescharacteristic
58C2×#66979C2211yescharacteristic
59C22×C4×Dic11C2211yescharacteristic, complemented
60#10623091—28no—
61C2×#66951C2211yescharacteristic
62C2×#66947C2211yescharacteristic
63C2×#66938C2211yescharacteristic
64C2×#66937C2211yescharacteristic
65C2×#66935C2211yescharacteristic
66C2×#66931C2211yescharacteristic
67C2×#66929C2211yescharacteristic
68C2×#66928C2211yescharacteristic
69#10622844C2211yescharacteristic
70#10622844C2211yescharacteristic
71#10622844C2211yescharacteristic
72#10622844C2211yescharacteristic
73#10622844C2211yescharacteristic
74#10622844C2211yescharacteristic, complemented
75#10622843C2211yescharacteristic, complemented
76#10622843C2211yescharacteristic, complemented
77#10622842C2211yescharacteristic, complemented
78#10622842C2211yescharacteristic, complemented
79#10622836C2211yescharacteristic
80#10622836C2211yescharacteristic
81#10622836C2211yescharacteristic, complemented
82#10622835C2211yescharacteristic
83#10622833C2211yescharacteristic
84#10622833C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622833C2211yescharacteristic, complemented
87#10622826C2211yescharacteristic
88#10622826C2211yescharacteristic
89#10622826C2211yescharacteristic, complemented
90#10622823C2211yescharacteristic, complemented
91C4×C22⋊Dic11C2211yescharacteristic
92C4×C22⋊Dic11C2211yescharacteristic, complemented
93#10622607C2211yescharacteristic
94#10622607C2211yescharacteristic
95#10622607C2211yescharacteristic
96#10622606C2211yescharacteristic
97#10622606C2211yescharacteristic
98#10622606C2211yescharacteristic
99#10622606C2211yescharacteristic, complemented
100#10622605C2211yescharacteristic
101#10622605C2211yescharacteristic
102#10622604C2211yescharacteristic
103#10622604C2211yescharacteristic
104#10622603C2211yescharacteristic
105#10622603C2211yescharacteristic
106#10622603C2211yescharacteristic
107#10622603C2211yescharacteristic
108#10622603C2211yescharacteristic
109#10622603C2211yescharacteristic
110#10622603C2211yescharacteristic
111#10622603C2211yescharacteristic, complemented
112#10622603C2211yescharacteristic, complemented
113#10622603C2211yescharacteristic, complemented
114#10622602C2211yescharacteristic, complemented
115#10622601C2211yescharacteristic
116#10622600C2211yescharacteristic, complemented
117#10622597C2211yescharacteristic, complemented
118#10622596C2211yescharacteristic, complemented
119#10622595C2211yescharacteristic, complemented
120#10622595C2211yescharacteristic, complemented
121#10622594C2211yescharacteristic, complemented
122#10622594C2211yescharacteristic, complemented
123#10622592C2211yescharacteristic, complemented
124#10622591C2211yescharacteristic, complemented
125#10622590C2211yescharacteristic, complemented
126#10622586C2211yescharacteristic, complemented
127#10622585C2211yescharacteristic, complemented
128#10622585C2211yescharacteristic, complemented
129#10622585C2211yescharacteristic, complemented
130#10622585C2211yescharacteristic, complemented
131#10622574C2211yescharacteristic
132#10622574C2211yescharacteristic
133#10622574C2211yescharacteristic
134#10622573C2211yescharacteristic
135#10622573C2211yescharacteristic
136#10622572C2211yescharacteristic
137#10622572C2211yescharacteristic
138#10622572C2211yescharacteristic
139#10622572C2211yescharacteristic
140#10622572C2211yescharacteristic
141#10622572C2211yescharacteristic
142#10622572C2211yescharacteristic, complemented
143#10622571C2211yescharacteristic
144#10622571C2211yescharacteristic
145#10622571C2211yescharacteristic
146#10622571C2211yescharacteristic, complemented
147#10622571C2211yescharacteristic, complemented
148#10622570C2211yescharacteristic
149#10622570C2211yescharacteristic
150#10622570C2211yescharacteristic
151#10622570C2211yescharacteristic, complemented
152#10622569C2211yescharacteristic, complemented
153#10622568C2211yescharacteristic
154#10622568C2211yescharacteristic
155#10622568C2211yescharacteristic
156#10622566C2211yescharacteristic, complemented
157#10622565C2211yescharacteristic
158#10622565C2211yescharacteristic
159#10622565C2211yescharacteristic
160#10622565C2211yescharacteristic, complemented
161#10622565C2211yescharacteristic, complemented
162#10622564C2211yescharacteristic
163#10622564C2211yescharacteristic
164#10622563C2211yescharacteristic, complemented
165#10622563C2211yescharacteristic, complemented
166#10622561C2211yescharacteristic, complemented
167#10622560C2211yescharacteristic, complemented
168#10622559C2211yescharacteristic
169#10622558C2211yescharacteristic, complemented
170#10622558C2211yescharacteristic, complemented
171#10622557C2211yescharacteristic, complemented
172#10622556C2211yescharacteristic
173#10622556C2211yescharacteristic
174#10622555C2211yescharacteristic, complemented
175#10622553C2211yescharacteristic
176#10622553C2211yescharacteristic
177#10622553C2211yescharacteristic
178#10622553C2211yescharacteristic
179#10622553C2211yescharacteristic, complemented
180#10622552C2211yescharacteristic
181#10622552C2211yescharacteristic
182C4×C4⋊Dic11C2211yescharacteristic, complemented
183#10622546C2211yescharacteristic, complemented
184#10622546C2211yescharacteristic, complemented
185#10622546C2211yescharacteristic, complemented
186#10622545C2211yescharacteristic, complemented
187#10622542C2211yescharacteristic, complemented
188#10622542C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×Q8×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×C4⋊Q8—24no—
214C11×#126—24no—
215C11×#126—24no—
216C11×#124—24no—
217C11×#124—24no—
218C11×#124—24no—
219C11×#123—24no—
220C11×#123—24no—
221C11×C22⋊Q8—24no—
222C11×C22⋊Q8—24no—
223C11×C22⋊Q8—24no—
224C11×#121—24no—
225C4×Q8×C11—24no—
226C4×D4×C11D418yescomplemented
227C11×#117—24no—
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C42×C11C2311yescharacteristic
251C2×C42×C11C2311yescharacteristic
252C2×C42×C11C2311yescharacteristic
253C2×C42×C11C2311yescharacteristic
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#67000—42no—
268#66999—42no—
269#66992—24no—
270#66992—42no—
271#66990—24no—
272#66990—42no—
273#66983—24no—
274#66982—24no—
275C4×C22⋊D11—24no—
276C2×(C2×D11)⋊C4—24no—
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×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308#66979—42no—
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×C4×Dic11—42no—
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335#66951—24no—
336#66947—24no—
337#66938—24no—
338#66937—24no—
339#66935—24no—
340#66931—24no—
341#66929—24no—
342#66928—24no—
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
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379#36745—111nomaximal, Sylow
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C24×C11C2411yescharacteristic
383C23×D11—22no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11—41no—
387C23×D11—41no—
388C23×D11—41no—
389C23×D11—41no—
390C23×D11C2411yescharacteristic
391C23×D11C2411yescharacteristic
392C23×D11C2411yescharacteristic
393C2×Q8×C11—22no—
394C2×Q8×C11—22no—
395C2×Q8×C11—22no—
396C2×Q8×C11—41no—
397C2×Q8×C11—41no—
398C2×Q8×C11—41no—
399C2×Q8×C11—41no—
400C2×Q8×C11—41no—
401C2×Q8×C11—41no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11C2×D414yes—
411C22×C4×C11—22no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11C2×D414yes—
419C22×C4×C11C2×D414yes—
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C2×C22⋊D11—41no—
453C22×Dic11—22no—
454C22×Dic11—22no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11—41no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11—41no—
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C2×D44—22no—
476C2×D44—22no—
477C2×D44—41no—
478C2×D44—41no—
479C2×D44—41no—
480C2×D44—41no—
481C2×C4×D11—22no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×Dic22—22no—
485C2×Dic22—41no—
486C2×Dic22—41no—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—22no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—22no—
491C11×C4⋊C4—22no—
492C11×C4⋊C4—22no—
493C11×C4⋊C4—22no—
494C11×C4⋊C4—22no—
495C11×C4⋊C4—22no—
496C11×C4⋊C4C2×D414yes—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4C2×D414yes—
508C11×C22⋊C4C2×D414yes—
509C42×C11—22no—
510C42×C11—22no—
511C42×C11—22no—
512C42×C11C2×D414yes—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—41no—
517C22⋊Dic11—41no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521C22⋊Dic11—41no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
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)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557C4⋊Dic11—22no—
558C4⋊Dic11—22no—
559C4⋊Dic11—41no—
560C4⋊Dic11—41no—
561C4⋊Dic11—41no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569Dic11⋊C4—41no—
570Dic11⋊C4—41no—
571Dic11⋊C4—41no—
572Dic11⋊C4—41no—
573Dic11⋊C4—41no—
574Dic11⋊C4—41no—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—22no—
578C4×Dic11—41no—
579C4×Dic11—41no—
580C4×Dic11—41no—
581C4×Dic11—41no—
582C2×#542D1111yescharacteristic, complemented
583C2×#538—111no—
584#2854—111no—
585#2850—111no—
586#2723—111no—
587#2716—111no—
588#2715—111no—
589#2712—111no—
590#2700—111no—
591#2698—111no—
592#2696—111no—
593#2691—111no—
594#2688—111no—
595#2686—111no—
596#2685—111no—
597#2684—111no—
598#2676—111no—
599#2674—111no—
600#2670—111no—
601#2668—111no—
602#2663—111no—
603#2661—111no—
604#2610—111no—
605#2604—111no—
606#2602—111no—
607#2601—111no—
608#2592—111no—
609#2561—111no—
610#2415—111no—
611#2411—111no—
612#2290—111no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
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×C11C22×D412yes—
633C23×C11C22×D412yes—
634C23×C11C2511yescharacteristic
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—44no—
657C22×D11—82no—
658C22×D11—82no—
659C22×D11—82no—
660C22×D11—82no—
661C22×D11—82no—
662C22×D11—82no—
663Q8×C11—44no—
664Q8×C11—82no—
665Q8×C11—82no—
666D4×C11—44no—
667D4×C11—82no—
668D4×C11—82no—
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—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—44no—
701C2×C4×C11—44no—
702C2×C4×C11—44no—
703C2×C4×C11C22×D412yes—
704C2×C4×C11C22×D412yes—
705C2×C4×C11C22×D412yes—
706C2×C4×C11C22×D412yes—
707C2×C4×C11C22×D412yes—
708C22⋊D11—44no—
709C22⋊D11—82no—
710C22⋊D11—82no—
711C22⋊D11—82no—
712C22⋊D11—82no—
713C22⋊D11—82no—
714C22⋊D11—82no—
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—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—44no—
754C2×Dic11—44no—
755C2×Dic11—82no—
756C2×Dic11H(5,𝔽2)12yes—
757D44—82no—
758D44—82no—
759C4×D11—82no—
760Dic22—82no—
761#542—28no—
762#538—228no—
763C2×C4⋊Q8C2×D1111yescharacteristic, complemented
764C2×#126—111no—
765C2×#126—111no—
766C2×#126C2×D1111yescharacteristic
767C2×#126C2×D1111yescharacteristic, complemented
768C2×#124—111no—
769C2×#124—111no—
770C2×#124—111no—
771C2×#124C2×D1111yescharacteristic
772C2×#124C2×D1111yescharacteristic
773C2×#124C2×D1111yescharacteristic, complemented
774C2×#123—111no—
775C2×#123—111no—
776C2×#123C2×D1111yescharacteristic
777C2×#123C2×D1111yescharacteristic, complemented
778C2×C22⋊Q8—111no—
779C2×C22⋊Q8—111no—
780C2×C22⋊Q8C2×D1111yescharacteristic
781C2×C22⋊Q8C2×D1111yescharacteristic, complemented
782C2×C22⋊Q8C2×D1111yescharacteristic, complemented
783C2×#121—111no—
784C2×#121—111no—
785C2×#121—111no—
786C2×#121—111no—
787C2×#121C2×D1111yescharacteristic
788C2×#120—111no—
789C2×#120—111no—
790C2×#120—111no—
791C2×C4×Q8C2×D1111yescharacteristic, complemented
792C2×C4×D4—111no—
793C2×C4×D4C2×D1111yescharacteristic
794C2×#117—111no—
795C2×#117C2×D1111yescharacteristic, complemented
796C22×C22⋊C4—111no—
797C22×C42—111no—
798#400—111no—
799#400—111no—
800#399—111no—
801#399—111no—
802#398—111no—
803#398—111no—
804#397—111no—
805#397—111no—
806#397—111no—
807#397—111no—
808#397—111no—
809#397—111no—
810#397—111no—
811#397—111no—
812#397—111no—
813#397—111no—
814#396—111no—
815#396—111no—
816#396—111no—
817#396—111no—
818#395—111no—
819#395—111no—
820#395—111no—
821#394—111no—
822#394—111no—
823#394—111no—
824#394—111no—
825#394—111no—
826#394—111no—
827#394—111no—
828#394—111no—
829#394—111no—
830#394—111no—
831#394—111no—
832#394—111no—
833#394—111no—
834#393—111no—
835#393—111no—
836#393—111no—
837#393—111no—
838#393—111no—
839#393—111no—
840#393—111no—
841#392—111no—
842#392—111no—
843#392—111no—
844#392—111no—
845#392—111no—
846#391—111no—
847#391—111no—
848#391—111no—
849#391—111no—
850#390—111no—
851#390—111no—
852#390—111no—
853#390—111no—
854#390—111no—
855#390—111no—
856#390—111no—
857#389—111no—
858#389—111no—
859#389—111no—
860#389—111no—
861#389—111no—
862#388—111no—
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#387—111no—
883#387—111no—
884#387—111no—
885#387—111no—
886#387—111no—
887#387—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#385—111no—
902#385—111no—
903#385—111no—
904#385—111no—
905#385—111no—
906#382—111no—
907#381—111no—
908#381—111no—
909#380—111no—
910#380—111no—
911#379—111no—
912#379—111no—
913#379—111no—
914C4×C4⋊C4—111no—
915C4×C22⋊C4—111no—
916C4×C22⋊C4—111no—
917#376—111no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11C23×D411yescharacteristic
940C22×C11C2×H(5,𝔽2)11yescharacteristic
941C22×C11#58511yescharacteristic
942C22×C11#58511yescharacteristic
943C22×C11#58511yescharacteristic
944C22×C11#58511yescharacteristic
945C22×C11#58511yescharacteristic
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—88no—
968C4×C11—22no—
969C4×C11—22no—
970C4×C11—22no—
971C4×C11—22no—
972C4×C11—22no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978C4×C11—41no—
979C4×C11—41no—
980Dic11—22no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990Dic11—41no—
991Dic11—41no—
992Dic11—41no—
993C25—111no—
994C22×Q8—111no—
995C22×Q8C22×D1111yescharacteristic
996C22×Q8C22×D1111yescharacteristic
997C22×Q8C22×D1111yescharacteristic
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—111no—
1002C22×D4—111no—
1003C22×D4—111no—
1004C22×D4—111no—
1005C22×D4—111no—
1006C22×D4—111no—
1007C22×D4C22×D1111yescharacteristic
1008C22×D4C22×D1111yescharacteristic
1009C22×D4C22×D1111yescharacteristic
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4C22×D1111yescharacteristic
1015C23×C4C22×D1111yescharacteristic
1016C23×C4C22×D1111yescharacteristic
1017C4⋊Q8—24no—
1018#126—24no—
1019#126—24no—
1020#126—224no—
1021#126—224no—
1022#124—24no—
1023#124—24no—
1024#124—24no—
1025#124—224no—
1026#124—224no—
1027#124—442no—
1028#123—24no—
1029#123—24no—
1030#123—224no—
1031#123—224no—
1032C22⋊Q8—24no—
1033C22⋊Q8—24no—
1034C22⋊Q8—24no—
1035C22⋊Q8—224no—
1036C22⋊Q8—442no—
1037#121—24no—
1038#121—224no—
1039#121—224no—
1040#121—224no—
1041#121—442no—
1042#120—224no—
1043#120—224no—
1044#120—442no—
1045C4×Q8—24no—
1046C4×D4—224no—
1047C4×D4C22⋊D1118yescomplemented
1048#117—24no—
1049#117—442no—
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—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4C22×D1111yescharacteristic
1069C2×C4⋊C4C22×D1111yescharacteristic
1070C2×C4⋊C4C22×D1111yescharacteristic
1071C2×C4⋊C4C22×D1111yescharacteristic
1072C2×C4⋊C4C22×D1111yescharacteristic
1073C2×C4⋊C4C22×D1111yescharacteristic
1074C2×C4⋊C4C22×D1111yescharacteristic
1075C2×C4⋊C4C22×D1111yescharacteristic
1076C2×C4⋊C4C22×D1111yescharacteristic
1077C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—224no—
1123C2×C22⋊C4C22×D1111yescharacteristic
1124C2×C22⋊C4C22×D1111yescharacteristic
1125C2×C22⋊C4C22×D1111yescharacteristic
1126C2×C22⋊C4C22×D1111yescharacteristic
1127C2×C22⋊C4C22×D1111yescharacteristic
1128C2×C22⋊C4C22×D1111yescharacteristic
1129C2×C22⋊C4C22×D1111yescharacteristic
1130C2×C22⋊C4C22×D1111yescharacteristic
1131C2×C22⋊C4C22×D1111yescharacteristic
1132C2×C22⋊C4C22×D1111yescharacteristic
1133C2×C22⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4C22×D1111yescharacteristic
1135C2×C42—111no—
1136C2×C42—111no—
1137C2×C42—111no—
1138C2×C42—111no—
1139C2×C42—111no—
1140C2×C42—111no—
1141C2×C42—111no—
1142C2×C42—442no—
1143C2×C42C22×D1111yescharacteristic
1144C2×C42C22×D1111yescharacteristic
1145C2×C42C22×D1111yescharacteristic
1146C2×C42C22×D1111yescharacteristic
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#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183C2×C11—42no—
1184C2×C11—42no—
1185C2×C11—81no—
1186C2×C11#344911yescharacteristic
1187C2×C11#349611yescharacteristic
1188C2×C11#350011yescharacteristic
1189C2×C11#353311yescharacteristic
1190C2×C11#354011yescharacteristic
1191C2×C11#356611yescharacteristic
1192C2×C11#356811yescharacteristic
1193D11—81no—
1194D11—81no—
1195D11—81no—
1196C24—111no—
1197C24—111no—
1198C24—111no—
1199C24—222no—
1200C24—441no—
1201C24—441no—
1202C24—441no—
1203C24—441no—
1204C24—441no—
1205C24—441no—
1206C24C23×D1111yescharacteristic
1207C24C23×D1111yescharacteristic
1208C24C23×D1111yescharacteristic
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—41no—
1213C2×Q8—41no—
1214C2×Q8—41no—
1215C2×Q8—41no—
1216C2×Q8—41no—
1217C2×Q8—41no—
1218C2×Q8—222no—
1219C2×Q8—441no—
1220C2×Q8—441no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—222no—
1230C2×D4—222no—
1231C2×D4—222no—
1232C2×D4—222no—
1233C2×D4—222no—
1234C2×D4—222no—
1235C2×D4—222no—
1236C2×D4—441no—
1237C2×D4—441no—
1238C2×D4—441no—
1239C2×D4—441no—
1240C2×D4—441no—
1241C2×D4—441no—
1242C2×D4—441no—
1243C2×D4—441no—
1244C2×D4—441no—
1245C2×D4—441no—
1246C2×D4—441no—
1247C2×D4—441no—
1248C2×D4—441no—
1249C2×D4—441no—
1250C2×D4—441no—
1251C2×D4—441no—
1252C2×D4—441no—
1253C2×D4—441no—
1254C2×D4—441no—
1255C2×D4—441no—
1256C2×D4C2×C22⋊D1114yes—
1257C22×C4—22no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—111no—
1265C22×C4—111no—
1266C22×C4—111no—
1267C22×C4—111no—
1268C22×C4—111no—
1269C22×C4—111no—
1270C22×C4—111no—
1271C22×C4—111no—
1272C22×C4—111no—
1273C22×C4—111no—
1274C22×C4—111no—
1275C22×C4—111no—
1276C22×C4—111no—
1277C22×C4—222no—
1278C22×C4—222no—
1279C22×C4—222no—
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×C4C2×C22⋊D1114yes—
1290C22×C4C2×C22⋊D1114yes—
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—222no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
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⋊C4C2×C22⋊D1114yes—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—222no—
1342C22⋊C4—222no—
1343C22⋊C4—222no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
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⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C22⋊C4—441no—
1381C22⋊C4—441no—
1382C22⋊C4—441no—
1383C22⋊C4—441no—
1384C22⋊C4—441no—
1385C22⋊C4C2×C22⋊D1114yes—
1386C22⋊C4C2×C22⋊D1114yes—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—222no—
1391C42—222no—
1392C42—222no—
1393C42—441no—
1394C42—441no—
1395C42—441no—
1396C42—441no—
1397C42C2×C22⋊D1114yes—
1398C11#3674511yescharacteristic, complemented, Sylow
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—221no—
1434C23—221no—
1435C23—221no—
1436C23—221no—
1437C23—221no—
1438C23—221no—
1439C23—444no—
1440C23—882no—
1441C23—882no—
1442C23—882no—
1443C23—882no—
1444C23—882no—
1445C23—882no—
1446C23C22×C22⋊D1112yes—
1447C23C22×C22⋊D1112yes—
1448C23C24×D1111yescharacteristic
1449Q8—44no—
1450Q8—82no—
1451Q8—82no—
1452Q8—882no—
1453D4—44no—
1454D4—82no—
1455D4—82no—
1456D4—444no—
1457D4—882no—
1458D4—882no—
1459D4—882no—
1460D4—882no—
1461D4—882no—
1462D4—882no—
1463D4—882no—
1464D4—882no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—112no—
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—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—444no—
1539C2×C4—444no—
1540C2×C4—882no—
1541C2×C4—882no—
1542C2×C4C22×C22⋊D1112yes—
1543C2×C4C22×C22⋊D1112yes—
1544C2×C4C22×C22⋊D1112yes—
1545C2×C4C22×C22⋊D1112yes—
1546C2×C4C22×C22⋊D1112yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—441no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—441no—
1581C22—441no—
1582C22—441no—
1583C22—441no—
1584C22—441no—
1585C22—441no—
1586C22—441no—
1587C22—441no—
1588C22—441no—
1589C22—888no—
1590C22#1062345311yescharacteristic
1591C22#1062345311yescharacteristic
1592C22D11×H(5,𝔽2)11yescharacteristic
1593C22#1062345511yescharacteristic
1594C22#1062345711yescharacteristic
1595C22#1062345711yescharacteristic
1596C22C23×C22⋊D1111yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—222no—
1610C4—441no—
1611C4—441no—
1612C4—441no—
1613C4—441no—
1614C4—441no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C4—441no—
1621C4—441no—
1622C2—42no—
1623C2—42no—
1624C2—81no—
1625C2—881no—
1626C2—881no—
1627C2—881no—
1628C2#1308194511yescharacteristic
1629C2#1308237511yescharacteristic
1630C2#1308241011yescharacteristic
1631C2#1308277911yescharacteristic
1632C2#1308288111yescharacteristic
1633C2#1308329611yescharacteristic
1634C2#1308330811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC2×C11×#542C2
hypercenterC2×#542D11
hypocenterC11#36745
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. C2×#10623091C2semidirect
2. #13076945C2semidirect
3. #13076919C2semidirect
4. #13075529C2semidirect
5. #13075436C2semidirect
6. #13075423C2semidirect
7. #13075382C2semidirect
8. #13075208C2semidirect
9. #13075184C2semidirect
10. #13075160C2semidirect
11. #13075091C2semidirect
12. #13075046C2semidirect
13. #13075016C2semidirect
14. #13075001C2semidirect
15. #13074992C2semidirect
16. #13074912C2semidirect
17. #13074892C2semidirect
18. #13074837C2semidirect
19. #13074819C2semidirect
20. #13074767C2semidirect
21. #13074744C2semidirect
22. #13074303C2semidirect
23. #13074248C2semidirect
24. #13074230C2semidirect
25. #13074213C2semidirect
26. #13074104C2semidirect
27. #13073775C2semidirect
28. #13072046C2semidirect
29. #13072002C2semidirect
30. #13071061C2semidirect
31. C2×C11×#542C2semidirect
33. C2×C11×C4⋊Q8C22semidirect
35. C2×C11×#126C22semidirect
38. C2×C11×#124C22semidirect
40. C2×C11×#123C22semidirect
42. C2×C11×C22⋊Q8C22semidirect
43. C2×C11×C22⋊Q8C22semidirect
45. C2×C4×Q8×C11C22semidirect
47. C2×C11×#117C22semidirect
49. C2×#66999C22semidirect
59. C22×C4×Dic11C22semidirect
74. #10622844C22semidirect
75. #10622843C22semidirect
76. #10622843C22semidirect
77. #10622842C22semidirect
78. #10622842C22semidirect
81. #10622836C22semidirect
86. #10622833C22semidirect
89. #10622826C22semidirect
90. #10622823C22semidirect
92. C4×C22⋊Dic11C22semidirect
99. #10622606C22semidirect
111. #10622603C22semidirect
112. #10622603C22semidirect
113. #10622603C22semidirect
114. #10622602C22semidirect
116. #10622600C22semidirect
117. #10622597C22semidirect
118. #10622596C22semidirect
119. #10622595C22semidirect
120. #10622595C22semidirect
121. #10622594C22semidirect
122. #10622594C22semidirect
123. #10622592C22semidirect
124. #10622591C22semidirect
125. #10622590C22semidirect
126. #10622586C22semidirect
127. #10622585C22semidirect
128. #10622585C22semidirect
129. #10622585C22semidirect
130. #10622585C22semidirect
142. #10622572C22semidirect
146. #10622571C22semidirect
147. #10622571C22semidirect
151. #10622570C22semidirect
152. #10622569C22semidirect
156. #10622566C22semidirect
160. #10622565C22semidirect
161. #10622565C22semidirect
164. #10622563C22semidirect
165. #10622563C22semidirect
166. #10622561C22semidirect
167. #10622560C22semidirect
169. #10622558C22semidirect
170. #10622558C22semidirect
171. #10622557C22semidirect
174. #10622555C22semidirect
179. #10622553C22semidirect
182. C4×C4⋊Dic11C22semidirect
183. #10622546C22semidirect
184. #10622546C22semidirect
185. #10622546C22semidirect
186. #10622545C22semidirect
187. #10622542C22semidirect
188. #10622542C22semidirect
226. C4×D4×C11D4semidirect
582. C2×#542D11semidirect
763. C2×C4⋊Q8C2×D11semidirect
767. C2×#126C2×D11semidirect
773. C2×#124C2×D11semidirect
777. C2×#123C2×D11semidirect
781. C2×C22⋊Q8C2×D11semidirect
782. C2×C22⋊Q8C2×D11semidirect
791. C2×C4×Q8C2×D11semidirect
795. C2×#117C2×D11semidirect
1047. C4×D4C22⋊D11semidirect
1398. C11#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#106230912
#130769452
#130769192
#130755292
#130754362
#130754232
#130753822
#130752082
#130751842
#130751602
#130750912
#130750462
#130750162
#130750012
#130749922
#130749122
#130748922
#130748372
#130748192
#130747672
#130747442
#130743032
#130742482
#130742302
#130742132
#130741042
#130737752
#130720462
#130720022
#130710612
C2×C11×#5422
#3674511