Finite Group Databasebeta

← #14960760

Subgroups — #14960760

Order 2816.

2490 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623169C211yesmaximal, characteristic, complemented
2C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
3#13076900C211yesmaximal, characteristic, complemented
4#13076897C211yesmaximal, characteristic
5#13075281C211yesmaximal, characteristic, complemented
6#13075279C211yesmaximal, characteristic, complemented
7#13075269C211yesmaximal, characteristic, complemented
8#13075267C211yesmaximal, characteristic, complemented
9#13075250C211yesmaximal, characteristic, complemented
10#13075248C211yesmaximal, characteristic, complemented
11#13075242C211yesmaximal, characteristic, complemented
12#13075240C211yesmaximal, characteristic, complemented
13#13074990C211yesmaximal, characteristic, complemented
14#13074986C211yesmaximal, characteristic, complemented
15#13074986C211yesmaximal, characteristic, complemented
16#13074973C211yesmaximal, characteristic, complemented
17#13074972C211yesmaximal, characteristic, complemented
18#13074965C211yesmaximal, characteristic, complemented
19#13074964C211yesmaximal, characteristic, complemented
20#13074428C211yesmaximal, characteristic, complemented
21#13074363C211yesmaximal, characteristic, complemented
22#13073507C211yesmaximal, characteristic, complemented
23#13073504C211yesmaximal, characteristic, complemented
24#13072020C211yesmaximal, characteristic, complemented
25#13072018C211yesmaximal, characteristic, complemented
26#13071998C211yesmaximal, characteristic, complemented
27#13071996C211yesmaximal, characteristic, complemented
28#13071977C211yesmaximal, characteristic, complemented
29#13071976C211yesmaximal, characteristic, complemented
30#13071231C211yesmaximal, characteristic, complemented
31C11×#2683C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic
36C2×C11×C22⋊Q8C2211yescharacteristic, complemented
37C2×C11×C22⋊Q8C2211yescharacteristic, complemented
38C2×#66999C2211yescharacteristic
39C2×#66999C2211yescharacteristic
40C2×#66999C2211yescharacteristic
41C2×#66999C2211yescharacteristic, complemented
42C2×#66992C2211yescharacteristic
43C2×#66990C2211yescharacteristic
44C2×#66982C2211yescharacteristic, complemented
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×#66977C2211yescharacteristic
47C2×#66977C2211yescharacteristic, complemented
48#10623169—28no—
49D11×C22⋊Q8—28no—
50C2×#66951C2211yescharacteristic, complemented
51C2×#66950C2211yescharacteristic
52C2×#66949C2211yescharacteristic
53C2×#66949C2211yescharacteristic
54C2×#66949C2211yescharacteristic, complemented
55C2×#66949C2211yescharacteristic, complemented
56C2×#66947C2211yescharacteristic
57C2×#66947C2211yescharacteristic
58C2×#66946C2211yescharacteristic
59C2×#66945C2211yescharacteristic
60C2×C4⋊C4×D11C2211yescharacteristic
61C2×C4⋊C4×D11C2211yescharacteristic
62C2×C4⋊C4×D11C2211yescharacteristic
63C2×#66942C2211yescharacteristic, complemented
64C2×#66942C2211yescharacteristic, complemented
65C2×#66937C2211yescharacteristic
66C2×#66937C2211yescharacteristic
67C2×#66936C2211yescharacteristic
68C2×#66936C2211yescharacteristic
69C2×#66936C2211yescharacteristic, complemented
70C2×#66935C2211yescharacteristic
71C2×C22⋊C4×D11C2211yescharacteristic
72C2×C22⋊C4×D11C2211yescharacteristic
73C2×#66932C2211yescharacteristic, complemented
74C2×#66931C2211yescharacteristic
75C2×#66931C2211yescharacteristic
76C2×#66925C2211yescharacteristic
77C11×#396C2211yescharacteristic
78C11×#396C2211yescharacteristic
79C11×#396C2211yescharacteristic, complemented
80C11×#396C2211yescharacteristic, complemented
81C11×#395C2211yescharacteristic, complemented
82C11×#395C2211yescharacteristic, complemented
83C11×#390C2211yescharacteristic
84C11×#389C2211yescharacteristic, complemented
85C11×#389C2211yescharacteristic, complemented
86C11×#386C2211yescharacteristic
87C11×#386C2211yescharacteristic
88#10622844C2211yescharacteristic, complemented
89#10622843C2211yescharacteristic, complemented
90#10622842C2211yescharacteristic, complemented
91#10622835C2211yescharacteristic
92#10622835C2211yescharacteristic
93#10622826C2211yescharacteristic
94#10622826C2211yescharacteristic
95#10622825C2211yescharacteristic
96#10622607C2211yescharacteristic
97#10622607C2211yescharacteristic
98#10622607C2211yescharacteristic
99#10622607C2211yescharacteristic, complemented
100#10622607C2211yescharacteristic, complemented
101#10622607C2211yescharacteristic, complemented
102#10622604C2211yescharacteristic
103#10622604C2211yescharacteristic
104#10622603C2211yescharacteristic
105#10622603C2211yescharacteristic, complemented
106#10622602C2211yescharacteristic
107#10622602C2211yescharacteristic
108#10622602C2211yescharacteristic
109#10622602C2211yescharacteristic
110#10622602C2211yescharacteristic
111#10622602C2211yescharacteristic
112#10622601C2211yescharacteristic
113#10622600C2211yescharacteristic
114#10622600C2211yescharacteristic
115#10622600C2211yescharacteristic
116#10622599C2211yescharacteristic, complemented
117#10622598C2211yescharacteristic, complemented
118#10622598C2211yescharacteristic, complemented
119#10622597C2211yescharacteristic, complemented
120#10622597C2211yescharacteristic, complemented
121#10622596C2211yescharacteristic, complemented
122#10622593C2211yescharacteristic, complemented
123#10622593C2211yescharacteristic, complemented
124#10622593C2211yescharacteristic, complemented
125#10622592C2211yescharacteristic, complemented
126#10622592C2211yescharacteristic, complemented
127#10622592C2211yescharacteristic, complemented
128#10622587C2211yescharacteristic, complemented
129#10622586C2211yescharacteristic, complemented
130#10622585C2211yescharacteristic, complemented
131#10622585C2211yescharacteristic, complemented
132#10622585C2211yescharacteristic, complemented
133#10622574C2211yescharacteristic
134#10622574C2211yescharacteristic
135#10622574C2211yescharacteristic, complemented
136#10622572C2211yescharacteristic
137#10622572C2211yescharacteristic
138#10622572C2211yescharacteristic, complemented
139#10622570C2211yescharacteristic
140#10622570C2211yescharacteristic
141#10622569C2211yescharacteristic
142#10622569C2211yescharacteristic
143#10622569C2211yescharacteristic
144#10622569C2211yescharacteristic
145#10622568C2211yescharacteristic
146#10622568C2211yescharacteristic
147#10622564C2211yescharacteristic, complemented
148#10622561C2211yescharacteristic
149#10622561C2211yescharacteristic
150#10622561C2211yescharacteristic, complemented
151#10622561C2211yescharacteristic, complemented
152#10622560C2211yescharacteristic, complemented
153#10622560C2211yescharacteristic, complemented
154#10622559C2211yescharacteristic
155#10622559C2211yescharacteristic
156#10622558C2211yescharacteristic
157#10622558C2211yescharacteristic
158#10622557C2211yescharacteristic
159#10622557C2211yescharacteristic
160#10622557C2211yescharacteristic, complemented
161#10622555C2211yescharacteristic
162#10622553C2211yescharacteristic
163#10622553C2211yescharacteristic, complemented
164#10622541C2211yescharacteristic, complemented
165#10622289C2211yescharacteristic
166#10622289C2211yescharacteristic, complemented
167#10622286C2211yescharacteristic, complemented
168#10622283C2211yescharacteristic
169#10622282C2211yescharacteristic
170#10622280C2211yescharacteristic
171#10622280C2211yescharacteristic
172#10622280C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622277C2211yescharacteristic
178#10622277C2211yescharacteristic
179#10622272C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622270C2211yescharacteristic, complemented
182#10622270C2211yescharacteristic, complemented
183#10622270C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C2×Q8×D11—24no—
201C2×Q8×D11—42no—
202C2×Q8×D11—42no—
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×C4×D11—24no—
206C22×C4×D11—42no—
207C22×C4×D11—42no—
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×Dic22C2311yescharacteristic
218C22×Dic22C2311yescharacteristic
219C22×Dic22C2311yescharacteristic
220C11×C22⋊Q8—24no—
221C11×C22⋊Q8—24no—
222C11×C22⋊Q8—42no—
223C11×C22⋊Q8—42no—
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
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×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×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258#66999—24no—
259#66999—24no—
260#66999—24no—
261#66999—42no—
262#66992—42no—
263#66990—42no—
264#66982—24no—
265C4×C22⋊D11—24no—
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
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×(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×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
301#66977—24no—
302#66977—42no—
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
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×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332#66951—24no—
333#66950—24no—
334#66949—24no—
335#66949—24no—
336#66949—42no—
337#66949—42no—
338#66947—24no—
339#66947—42no—
340#66946—24no—
341#66945—42no—
342C4⋊C4×D11—24no—
343C4⋊C4×D11—24no—
344C4⋊C4×D11D418yescomplemented
345#66942—24no—
346#66942—24no—
347#66937—24no—
348#66937—42no—
349#66936—24no—
350#66936—24no—
351#66936—42no—
352#66935—42no—
353C22⋊C4×D11—24no—
354C22⋊C4×D11—24no—
355#66932—24no—
356#66931—24no—
357#66931—24no—
358#66925—42no—
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
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#36719—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C2×Q8×C11—22no—
405C2×Q8×C11—22no—
406C2×Q8×C11—22no—
407C2×Q8×C11—41no—
408C2×Q8×C11—41no—
409C2×Q8×C11—41no—
410C2×D4×C11—22no—
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11C2411yescharacteristic
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—22no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C22×Dic11—22no—
445C22×Dic11—22no—
446C22×Dic11—41no—
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460Q8×D11—416no—
461C2×D44—22no—
462C2×D44—22no—
463C2×D44—22no—
464C2×D44—22no—
465C2×D44—41no—
466C2×D44—41no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—416no—
492C2×C4×D11C2×D414yes—
493C2×C4×D11C2×D414yes—
494C2×C4×D11C2×D414yes—
495C2×Dic22—22no—
496C2×Dic22—22no—
497C2×Dic22—22no—
498C2×Dic22—22no—
499C2×Dic22—22no—
500C2×Dic22—22no—
501C2×Dic22—41no—
502C2×Dic22—41no—
503C2×Dic22—41no—
504C11×C4⋊C4—22no—
505C11×C4⋊C4—22no—
506C11×C4⋊C4—22no—
507C11×C4⋊C4—22no—
508C11×C4⋊C4—22no—
509C11×C4⋊C4—22no—
510C11×C4⋊C4—41no—
511C11×C4⋊C4—41no—
512C11×C4⋊C4—41no—
513C11×C4⋊C4—41no—
514C11×C4⋊C4—41no—
515C11×C4⋊C4—41no—
516C11×C4⋊C4C2×D414yes—
517C11×C22⋊C4—22no—
518C11×C22⋊C4—22no—
519C11×C22⋊C4—22no—
520C11×C22⋊C4—22no—
521C11×C22⋊C4—22no—
522C11×C22⋊C4—41no—
523C11×C22⋊C4—41no—
524C11×C22⋊C4—41no—
525C11×C22⋊C4—41no—
526C11×C22⋊C4—41no—
527C42×C11—41no—
528C22⋊Dic11—22no—
529C22⋊Dic11—22no—
530C22⋊Dic11—22no—
531C22⋊Dic11—22no—
532C22⋊Dic11—22no—
533C22⋊Dic11—22no—
534C22⋊Dic11—22no—
535C22⋊Dic11—41no—
536C22⋊Dic11—41no—
537C22⋊Dic11—41no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—22no—
553(C2×D11)⋊C4—22no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—22no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564C4⋊Dic11—22no—
565C4⋊Dic11—22no—
566C4⋊Dic11—22no—
567C4⋊Dic11—22no—
568C4⋊Dic11—41no—
569C4⋊Dic11—41no—
570C4⋊Dic11—41no—
571C4⋊Dic11—41no—
572C4⋊Dic11C2×D414yes—
573Dic11⋊C4—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4—22no—
576Dic11⋊C4—22no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—41no—
586Dic11⋊C4—41no—
587Dic11⋊C4—41no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590Dic11⋊C4—41no—
591Dic11⋊C4—41no—
592Dic11⋊C4—41no—
593Dic11⋊C4—41no—
594Dic11⋊C4—41no—
595Dic11⋊C4C2×D414yes—
596Dic11⋊C4C2×D414yes—
597C4×Dic11—22no—
598C4×Dic11—22no—
599C4×Dic11—41no—
600C4×Dic11—41no—
601C4×Dic11—41no—
602C2×#539—111no—
603C22×C22⋊Q8—111no—
604#2848—111no—
605#2847—111no—
606#2704—111no—
607#2704—111no—
608#2704—111no—
609#2704—111no—
610#2702—111no—
611#2702—111no—
612#2702—111no—
613#2702—111no—
614#2683—111no—
615#2683—111no—
616#2683—111no—
617#2683D1111yescharacteristic, complemented
618#2681—111no—
619#2681—111no—
620#2681—111no—
621#2681—111no—
622#2627—111no—
623#2618—111no—
624#2534—111no—
625#2534—111no—
626#2413—111no—
627#2413—111no—
628#2411—111no—
629#2411—111no—
630#2409—111no—
631#2409—111no—
632#2316—111no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C112−1+412yes—
647C23×C11C2511yescharacteristic
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—28no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—44no—
667C22×D11—44no—
668C22×D11—44no—
669C22×D11—44no—
670C22×D11—44no—
671C22×D11—44no—
672C22×D11C22×D412yes—
673C22×D11H(5,𝔽2)12yes—
674C22×D112−1+412yes—
675C22×D112−1+412yes—
676Q8×C11—44no—
677Q8×C11—82no—
678D4×C11—82no—
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—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—44no—
715C2×C4×C11—82no—
716C2×C4×C11C22×D412yes—
717C2×C4×C11C22×D412yes—
718C2×C4×C11C22×D412yes—
719C2×C4×C11H(5,𝔽2)12yes—
720C22⋊D11—44no—
721C22⋊D11—82no—
722C22⋊D11—82no—
723C22⋊D11—82no—
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—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—44no—
760C2×Dic11C22×D412yes—
761C2×Dic11C22×D412yes—
762C2×Dic11C22×D412yes—
763C2×Dic11H(5,𝔽2)12yes—
764D44—44no—
765D44—82no—
766C4×D11—28no—
767C4×D11—28no—
768C4×D11—44no—
769C4×D11—44no—
770C4×D11—44no—
771C4×D11—44no—
772C4×D11—44no—
773C4×D11—44no—
774C4×D11—82no—
775Dic22—44no—
776Dic22—44no—
777Dic22—44no—
778C23×Q8—111no—
779C24×C4—111no—
780#539—228no—
781C2×#126—111no—
782C2×#126—111no—
783C2×#125—111no—
784C2×#125—111no—
785C2×#123—111no—
786C2×#123—111no—
787C2×#123—111no—
788C2×#123—111no—
789C2×#123—111no—
790C2×#123—111no—
791C2×C22⋊Q8—111no—
792C2×C22⋊Q8—111no—
793C2×C22⋊Q8—111no—
794C2×C22⋊Q8—111no—
795C2×C22⋊Q8—111no—
796C2×C22⋊Q8—111no—
797C2×C22⋊Q8—111no—
798C2×C22⋊Q8—111no—
799C2×C22⋊Q8—111no—
800C2×C22⋊Q8—111no—
801C2×C22⋊Q8—111no—
802C2×C22⋊Q8—111no—
803C2×C22⋊Q8—111no—
804C2×C22⋊Q8—228no—
805C2×C22⋊Q8C2×D1111yescharacteristic
806C2×C22⋊Q8C2×D1111yescharacteristic
807C2×C22⋊Q8C2×D1111yescharacteristic, complemented
808C2×C22⋊Q8C2×D1111yescharacteristic, complemented
809C2×#121—111no—
810C2×#121—111no—
811C2×#121—111no—
812C2×#120—111no—
813C2×#120—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×#117—111no—
817C2×#117—111no—
818C22×C4⋊C4—111no—
819C22×C4⋊C4—111no—
820C22×C4⋊C4—111no—
821C22×C22⋊C4—111no—
822C22×C22⋊C4—111no—
823#400—111no—
824#400—111no—
825#398—111no—
826#398—111no—
827#398—111no—
828#398—111no—
829#398—111no—
830#398—111no—
831#398—111no—
832#398—111no—
833#398—111no—
834#398—111no—
835#396—111no—
836#396—111no—
837#396—111no—
838#396—111no—
839#396—111no—
840#396—111no—
841#396—111no—
842#396—111no—
843#396—111no—
844#396—111no—
845#396—111no—
846#396—111no—
847#396C2×D1111yescharacteristic
848#396C2×D1111yescharacteristic
849#396C2×D1111yescharacteristic, complemented
850#396C2×D1111yescharacteristic, complemented
851#395—111no—
852#395—111no—
853#395—111no—
854#395—111no—
855#395C2×D1111yescharacteristic, complemented
856#395C2×D1111yescharacteristic, complemented
857#394—111no—
858#394—111no—
859#394—111no—
860#394—111no—
861#394—111no—
862#394—111no—
863#394—111no—
864#394—111no—
865#394—111no—
866#394—111no—
867#393—111no—
868#393—111no—
869#393—111no—
870#393—111no—
871#391—111no—
872#391—111no—
873#391—111no—
874#391—111no—
875#390—111no—
876#390—111no—
877#390—111no—
878#390C2×D1111yescharacteristic
879#389—111no—
880#389—111no—
881#389—111no—
882#389—111no—
883#389—111no—
884#389—111no—
885#389—111no—
886#389—111no—
887#389—111no—
888#389—111no—
889#389C2×D1111yescharacteristic, complemented
890#389C2×D1111yescharacteristic, complemented
891#388—111no—
892#388—111no—
893#388—111no—
894#388—111no—
895#388—111no—
896#388—111no—
897#388—111no—
898#388—111no—
899#388—111no—
900#388—111no—
901#388—111no—
902#388—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386C2×D1111yescharacteristic
914#386C2×D1111yescharacteristic
915#385—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#385—111no—
921#385—111no—
922#385—111no—
923#381—111no—
924#381—111no—
925#380—111no—
926#380—111no—
927#380—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#380—111no—
932#380—111no—
933#379—111no—
934#379—111no—
935C22×C11—22no—
936C22×C11—22no—
937C22×C11—22no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11C23×D411yescharacteristic
950C22×C11C2×H(5,𝔽2)11yescharacteristic
951C22×C11C2×H(5,𝔽2)11yescharacteristic
952C22×C11C2×H(5,𝔽2)11yescharacteristic
953C22×C11C2×2−1+411yescharacteristic
954C22×C11C2×2−1+411yescharacteristic
955C22×C11C2×2−1+411yescharacteristic
956C2×D11—22no—
957C2×D11—22no—
958C2×D11—22no—
959C2×D11—22no—
960C2×D11—22no—
961C2×D11—22no—
962C2×D11—22no—
963C2×D11—22no—
964C2×D11—22no—
965C2×D11—416no—
966C2×D11—41no—
967C2×D11—41no—
968C2×D11—41no—
969C2×D11—41no—
970C2×D11—41no—
971C2×D11—41no—
972C2×D11—41no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—41no—
976C2×D11—41no—
977C2×D11#53714yes—
978C4×C11—22no—
979C4×C11—22no—
980C4×C11—22no—
981C4×C11—22no—
982C4×C11—41no—
983C4×C11—41no—
984C4×C11—41no—
985C4×C11—41no—
986C4×C11—41no—
987C4×C11—41no—
988C4×C11—41no—
989C4×C11—41no—
990C4×C11—41no—
991Dic11—22no—
992Dic11—22no—
993Dic11—22no—
994Dic11—22no—
995Dic11—41no—
996Dic11—41no—
997Dic11—41no—
998Dic11—41no—
999Dic11—41no—
1000Dic11—41no—
1001Dic11—41no—
1002Dic11—41no—
1003Dic11—41no—
1004C25—111no—
1005C22×Q8—111no—
1006C22×Q8—111no—
1007C22×Q8—111no—
1008C22×Q8—224no—
1009C22×Q8—442no—
1010C22×Q8—442no—
1011C22×Q8C22×D1111yescharacteristic
1012C22×Q8C22×D1111yescharacteristic
1013C22×D4—111no—
1014C22×D4—111no—
1015C22×D4—111no—
1016C22×D4—111no—
1017C22×D4—111no—
1018C22×D4—111no—
1019C22×D4C22×D1111yescharacteristic
1020C23×C4—111no—
1021C23×C4—111no—
1022C23×C4—111no—
1023C23×C4—111no—
1024C23×C4—111no—
1025C23×C4—111no—
1026C23×C4—111no—
1027C23×C4—111no—
1028C23×C4—111no—
1029C23×C4—111no—
1030C23×C4—224no—
1031C23×C4—442no—
1032C23×C4—442no—
1033C23×C4C22×D1111yescharacteristic
1034C23×C4C22×D1111yescharacteristic
1035#126—224no—
1036#126—224no—
1037#125—224no—
1038#125—224no—
1039#123—224no—
1040#123—224no—
1041#123—224no—
1042#123—224no—
1043#123—442no—
1044#123—442no—
1045C22⋊Q8—24no—
1046C22⋊Q8—24no—
1047C22⋊Q8—42no—
1048C22⋊Q8—42no—
1049C22⋊Q8—224no—
1050C22⋊Q8—224no—
1051C22⋊Q8—224no—
1052C22⋊Q8—224no—
1053C22⋊Q8—224no—
1054C22⋊Q8—224no—
1055C22⋊Q8—224no—
1056C22⋊Q8—224no—
1057C22⋊Q8—224no—
1058C22⋊Q8—442no—
1059C22⋊Q8—442no—
1060C22⋊Q8—442no—
1061C22⋊Q8—442no—
1062#121—224no—
1063#121—442no—
1064#121—442no—
1065#120—442no—
1066#120—442no—
1067C4×D4—224no—
1068C4×D4—224no—
1069#117—442no—
1070#117—442no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—118no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—224no—
1106C2×C4⋊C4—224no—
1107C2×C4⋊C4C22×D1111yescharacteristic
1108C2×C4⋊C4C22×D1111yescharacteristic
1109C2×C4⋊C4C22×D1111yescharacteristic
1110C2×C4⋊C4C22×D1111yescharacteristic
1111C2×C4⋊C4C22×D1111yescharacteristic
1112C2×C4⋊C4C22×D1111yescharacteristic
1113C2×C4⋊C4C22×D1111yescharacteristic
1114C2×C4⋊C4C22×D1111yescharacteristic
1115C2×C4⋊C4C22×D1111yescharacteristic
1116C2×C4⋊C4C22×D1111yescharacteristic
1117C2×C4⋊C4C22×D1111yescharacteristic
1118C2×C4⋊C4C22×D1111yescharacteristic
1119C2×C4⋊C4C22×D1111yescharacteristic
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—224no—
1157C2×C22⋊C4—224no—
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
1160C2×C22⋊C4C22×D1111yescharacteristic
1161C2×C22⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C42—111no—
1169C2×C42—111no—
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42—111no—
1173C2×C42C22×D1111yescharacteristic
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—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95C22×D1111yescharacteristic
1201#95C22×D1111yescharacteristic
1202#95C22×D1111yescharacteristic
1203#95C22×D1111yescharacteristic
1204#95C22×D1111yescharacteristic
1205#95C22×D1111yescharacteristic
1206C2×C11—42no—
1207C2×C11—81no—
1208C2×C11C2×#53711yescharacteristic
1209C2×C11#348411yescharacteristic
1210C2×C11#348611yescharacteristic
1211C2×C11#353611yescharacteristic
1212C2×C11#353611yescharacteristic
1213C2×C11#353811yescharacteristic
1214C2×C11#353811yescharacteristic
1215D11—24no—
1216D11—42no—
1217D11—81no—
1218C24—111no—
1219C24—111no—
1220C24—111no—
1221C24—222no—
1222C24—222no—
1223C24—222no—
1224C24—222no—
1225C24—222no—
1226C24—441no—
1227C24—441no—
1228C24C23×D1111yescharacteristic
1229C24C23×D1111yescharacteristic
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8—41no—
1236C2×Q8—222no—
1237C2×Q8—222no—
1238C2×Q8—222no—
1239C2×Q8—222no—
1240C2×Q8—222no—
1241C2×Q8—222no—
1242C2×Q8—441no—
1243C2×Q8—441no—
1244C2×Q8—441no—
1245C2×Q8—4416no—
1246C2×D4—22no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—222no—
1250C2×D4—222no—
1251C2×D4—222no—
1252C2×D4—222no—
1253C2×D4—222no—
1254C2×D4—222no—
1255C2×D4—222no—
1256C2×D4—222no—
1257C2×D4—222no—
1258C2×D4—222no—
1259C2×D4—441no—
1260C2×D4—441no—
1261C2×D4—441no—
1262C2×D4—441no—
1263C2×D4—441no—
1264C2×D4—441no—
1265C2×D4—441no—
1266C2×D4—441no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—111no—
1274C22×C4—111no—
1275C22×C4—111no—
1276C22×C4—111no—
1277C22×C4—114no—
1278C22×C4—114no—
1279C22×C4—114no—
1280C22×C4—111no—
1281C22×C4—111no—
1282C22×C4—111no—
1283C22×C4—111no—
1284C22×C4—111no—
1285C22×C4—111no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—222no—
1290C22×C4—222no—
1291C22×C4—222no—
1292C22×C4—222no—
1293C22×C4—222no—
1294C22×C4—222no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—441no—
1306C22×C4—441no—
1307C22×C4—441no—
1308C22×C4—441no—
1309C22×C4—441no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4—441no—
1313C22×C4—441no—
1314C22×C4—441no—
1315C22×C4—4416no—
1316C22×C4—441no—
1317C22×C4C23×D1111yescharacteristic
1318C22×C4C23×D1111yescharacteristic
1319C22×C4C23×D1111yescharacteristic
1320C22×C4C23×D1111yescharacteristic
1321C22×C4C23×D1111yescharacteristic
1322C22×C4C23×D1111yescharacteristic
1323C22×C4C23×D1111yescharacteristic
1324C22×C4C23×D1111yescharacteristic
1325C22×C4C23×D1111yescharacteristic
1326C22×C4C23×D1111yescharacteristic
1327C22×C4C23×D1111yescharacteristic
1328C22×C4C23×D1111yescharacteristic
1329C22×C4C23×D1111yescharacteristic
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—114no—
1343C4⋊C4—114no—
1344C4⋊C4—114no—
1345C4⋊C4—222no—
1346C4⋊C4—222no—
1347C4⋊C4—222no—
1348C4⋊C4—222no—
1349C4⋊C4—222no—
1350C4⋊C4—222no—
1351C4⋊C4—222no—
1352C4⋊C4—222no—
1353C4⋊C4—222no—
1354C4⋊C4—222no—
1355C4⋊C4—222no—
1356C4⋊C4—222no—
1357C4⋊C4—222no—
1358C4⋊C4—222no—
1359C4⋊C4—222no—
1360C4⋊C4—222no—
1361C4⋊C4—441no—
1362C4⋊C4—441no—
1363C4⋊C4—441no—
1364C4⋊C4—441no—
1365C4⋊C4—441no—
1366C4⋊C4—441no—
1367C4⋊C4—441no—
1368C4⋊C4—441no—
1369C4⋊C4—441no—
1370C4⋊C4—441no—
1371C4⋊C4—441no—
1372C4⋊C4—441no—
1373C4⋊C4—441no—
1374C4⋊C4—441no—
1375C4⋊C4D4×D1114yes—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—222no—
1387C22⋊C4—222no—
1388C22⋊C4—222no—
1389C22⋊C4—222no—
1390C22⋊C4—222no—
1391C22⋊C4—222no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—222no—
1396C22⋊C4—222no—
1397C22⋊C4—222no—
1398C22⋊C4—222no—
1399C22⋊C4—222no—
1400C22⋊C4—222no—
1401C22⋊C4—222no—
1402C22⋊C4—222no—
1403C22⋊C4—222no—
1404C22⋊C4—222no—
1405C22⋊C4—222no—
1406C22⋊C4—222no—
1407C22⋊C4—222no—
1408C22⋊C4—222no—
1409C22⋊C4—222no—
1410C22⋊C4—222no—
1411C22⋊C4—441no—
1412C22⋊C4—441no—
1413C22⋊C4—441no—
1414C22⋊C4—441no—
1415C22⋊C4—441no—
1416C22⋊C4—441no—
1417C22⋊C4—441no—
1418C22⋊C4—441no—
1419C22⋊C4—441no—
1420C22⋊C4—441no—
1421C22⋊C4—441no—
1422C42—41no—
1423C42—222no—
1424C42—222no—
1425C42—441no—
1426C42—441no—
1427C42—441no—
1428C11#3671911yescharacteristic, complemented, Sylow
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—112no—
1443C23—112no—
1444C23—112no—
1445C23—112no—
1446C23—228no—
1447C23—221no—
1448C23—221no—
1449C23—221no—
1450C23—221no—
1451C23—221no—
1452C23—221no—
1453C23—221no—
1454C23—221no—
1455C23—221no—
1456C23—221no—
1457C23—221no—
1458C23—221no—
1459C23—221no—
1460C23—221no—
1461C23—221no—
1462C23—221no—
1463C23—221no—
1464C23—444no—
1465C23—444no—
1466C23—444no—
1467C23—444no—
1468C23—444no—
1469C23—444no—
1470C23#6704012yes—
1471C23C24×D1111yescharacteristic
1472Q8—44no—
1473Q8—82no—
1474Q8—444no—
1475Q8—444no—
1476Q8—444no—
1477D4—82no—
1478D4—444no—
1479D4—444no—
1480D4—882no—
1481D4—882no—
1482D4—882no—
1483D4—882no—
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—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—44no—
1520C2×C4—82no—
1521C2×C4—112no—
1522C2×C4—112no—
1523C2×C4—112no—
1524C2×C4—112no—
1525C2×C4—228no—
1526C2×C4—228no—
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—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—444no—
1563C2×C4—444no—
1564C2×C4—444no—
1565C2×C4—444no—
1566C2×C4—444no—
1567C2×C4—444no—
1568C2×C4—444no—
1569C2×C4—882no—
1570C2×C4C2×D4×D1112yes—
1571C2×C4C2×D4×D1112yes—
1572C2×C4C2×D4×D1112yes—
1573C2×C4#6703712yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—114no—
1589C22—222no—
1590C22—222no—
1591C22—222no—
1592C22—222no—
1593C22—222no—
1594C22—222no—
1595C22—222no—
1596C22—222no—
1597C22—222no—
1598C22—4416no—
1599C22—441no—
1600C22—441no—
1601C22—441no—
1602C22—441no—
1603C22—441no—
1604C22—441no—
1605C22—441no—
1606C22—441no—
1607C22—441no—
1608C22—441no—
1609C22—441no—
1610C22C22×D4×D1111yescharacteristic
1611C22C2×#6703711yescharacteristic
1612C22C2×#6704011yescharacteristic
1613C22D11×H(5,𝔽2)11yescharacteristic
1614C22D11×H(5,𝔽2)11yescharacteristic
1615C22D11×2−1+411yescharacteristic
1616C22D11×2−1+411yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—222no—
1631C4—222no—
1632C4—222no—
1633C4—222no—
1634C4—441no—
1635C4—441no—
1636C4—441no—
1637C4—441no—
1638C4—441no—
1639C4—441no—
1640C4—441no—
1641C4—441no—
1642C4—441no—
1643C2—42no—
1644C2—81no—
1645C2—224no—
1646C2—442no—
1647C2—881no—
1648C2D11×#53711yescharacteristic
1649C2#1308224411yescharacteristic
1650C2#1308226611yescharacteristic
1651C2#1308283411yescharacteristic
1652C2#1308284211yescharacteristic
1653C2#1308285711yescharacteristic
1654C2#1308286011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2683C2
prime radical#13076897C2
hypercenter#2683D11
hypocenterC11#36719
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2683

Complements

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

NH ≅ G/Ntype
1. C2×#10623169C2semidirect
2. C2×D11×C22⋊Q8C2semidirect
3. #13076900C2semidirect
5. #13075281C2semidirect
6. #13075279C2semidirect
7. #13075269C2semidirect
8. #13075267C2semidirect
9. #13075250C2semidirect
10. #13075248C2semidirect
11. #13075242C2semidirect
12. #13075240C2semidirect
13. #13074990C2semidirect
14. #13074986C2semidirect
15. #13074986C2semidirect
16. #13074973C2semidirect
17. #13074972C2semidirect
18. #13074965C2semidirect
19. #13074964C2semidirect
20. #13074428C2semidirect
21. #13074363C2semidirect
22. #13073507C2semidirect
23. #13073504C2semidirect
24. #13072020C2semidirect
25. #13072018C2semidirect
26. #13071998C2semidirect
27. #13071996C2semidirect
28. #13071977C2semidirect
29. #13071976C2semidirect
30. #13071231C2semidirect
31. C11×#2683C2semidirect
36. C2×C11×C22⋊Q8C22semidirect
37. C2×C11×C22⋊Q8C22semidirect
41. C2×#66999C22semidirect
44. C2×#66982C22semidirect
47. C2×#66977C22semidirect
50. C2×#66951C22semidirect
54. C2×#66949C22semidirect
55. C2×#66949C22semidirect
63. C2×#66942C22semidirect
64. C2×#66942C22semidirect
69. C2×#66936C22semidirect
73. C2×#66932C22semidirect
79. C11×#396C22semidirect
80. C11×#396C22semidirect
81. C11×#395C22semidirect
82. C11×#395C22semidirect
84. C11×#389C22semidirect
85. C11×#389C22semidirect
88. #10622844C22semidirect
89. #10622843C22semidirect
90. #10622842C22semidirect
99. #10622607C22semidirect
100. #10622607C22semidirect
101. #10622607C22semidirect
105. #10622603C22semidirect
116. #10622599C22semidirect
117. #10622598C22semidirect
118. #10622598C22semidirect
119. #10622597C22semidirect
120. #10622597C22semidirect
121. #10622596C22semidirect
122. #10622593C22semidirect
123. #10622593C22semidirect
124. #10622593C22semidirect
125. #10622592C22semidirect
126. #10622592C22semidirect
127. #10622592C22semidirect
128. #10622587C22semidirect
129. #10622586C22semidirect
130. #10622585C22semidirect
131. #10622585C22semidirect
132. #10622585C22semidirect
135. #10622574C22semidirect
138. #10622572C22semidirect
147. #10622564C22semidirect
150. #10622561C22semidirect
151. #10622561C22semidirect
152. #10622560C22semidirect
153. #10622560C22semidirect
160. #10622557C22semidirect
163. #10622553C22semidirect
164. #10622541C22semidirect
166. #10622289C22semidirect
167. #10622286C22semidirect
179. #10622272C22semidirect
180. #10622270C22semidirect
181. #10622270C22semidirect
182. #10622270C22semidirect
183. #10622270C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
344. C4⋊C4×D11D4semidirect
617. #2683D11semidirect
807. C2×C22⋊Q8C2×D11semidirect
808. C2×C22⋊Q8C2×D11semidirect
849. #396C2×D11semidirect
850. #396C2×D11semidirect
855. #395C2×D11semidirect
856. #395C2×D11semidirect
889. #389C2×D11semidirect
890. #389C2×D11semidirect
1428. C11#36719semidirect

Maximal subgroups

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

subgroupindex
C2×#106231692
C2×D11×C22⋊Q82
#130769002
#130768972
#130752812
#130752792
#130752692
#130752672
#130752502
#130752482
#130752422
#130752402
#130749902
#130749862
#130749732
#130749722
#130749652
#130749642
#130744282
#130743632
#130735072
#130735042
#130720202
#130720182
#130719982
#130719962
#130719772
#130719762
#130712312
C11×#26832
#3671911