Finite Group Databasebeta

← #14960670

Subgroups — #14960670

Order 2816.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623229C211yesmaximal, characteristic, complemented
2C2×#10623158C211yesmaximal, characteristic, complemented
3#13076911C211yesmaximal, characteristic, complemented
4#13076899C211yesmaximal, characteristic, complemented
5#13075130C211yesmaximal, characteristic, complemented
6#13075126C211yesmaximal, characteristic, complemented
7#13075059C211yesmaximal, characteristic, complemented
8#13075032C211yesmaximal, characteristic, complemented
9#13074940C211yesmaximal, characteristic, complemented
10#13074913C211yesmaximal, characteristic, complemented
11#13074907C211yesmaximal, characteristic, complemented
12#13074885C211yesmaximal, characteristic, complemented
13#13074885C211yesmaximal, characteristic, complemented
14#13074866C211yesmaximal, characteristic, complemented
15#13074859C211yesmaximal, characteristic, complemented
16#13074849C211yesmaximal, characteristic, complemented
17#13074831C211yesmaximal, characteristic, complemented
18#13074831C211yesmaximal, characteristic, complemented
19#13074826C211yesmaximal, characteristic, complemented
20#13074509C211yesmaximal, characteristic, complemented
21#13074466C211yesmaximal, characteristic, complemented
22#13074295C211yesmaximal, characteristic, complemented
23#13074233C211yesmaximal, characteristic, complemented
24#13074185C211yesmaximal, characteristic, complemented
25#13074180C211yesmaximal, characteristic, complemented
26#13073573C211yesmaximal, characteristic, complemented
27#13073514C211yesmaximal, characteristic, complemented
28#13072237C211yesmaximal, characteristic, complemented
29#13072227C211yesmaximal, characteristic, complemented
30#13071248C211yesmaximal, characteristic, complemented
31C11×#2690C211yesmaximal, characteristic, complemented
32C22×#4343C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#125C2211yescharacteristic, complemented
35C2×C11×C22⋊Q8C2211yescharacteristic
36C2×#67000C2211yescharacteristic, complemented
37C2×#66999C2211yescharacteristic
38C2×#66983C2211yescharacteristic
39C2×#66983C2211yescharacteristic
40#10623229—28no—
41#10623158—28no—
42C2×#66948C2211yescharacteristic
43C2×#66948C2211yescharacteristic
44C2×#66948C2211yescharacteristic
45C2×#66948C2211yescharacteristic
46C2×#66948C2211yescharacteristic
47C2×#66948C2211yescharacteristic
48C2×#66948C2211yescharacteristic, complemented
49C2×#66948C2211yescharacteristic, complemented
50C2×#66948C2211yescharacteristic, complemented
51C2×#66948C2211yescharacteristic, complemented
52C2×#66947C2211yescharacteristic
53C2×#66947C2211yescharacteristic
54C2×#66947C2211yescharacteristic
55C2×#66947C2211yescharacteristic
56C2×#66947C2211yescharacteristic
57C2×#66947C2211yescharacteristic, complemented
58C2×#66947C2211yescharacteristic, complemented
59C2×#66946C2211yescharacteristic
60C2×#66946C2211yescharacteristic
61C2×#66946C2211yescharacteristic, complemented
62C2×#66945C2211yescharacteristic
63C2×#66937C2211yescharacteristic
64C2×#66937C2211yescharacteristic
65C2×#66937C2211yescharacteristic
66C2×#66937C2211yescharacteristic
67C2×#66935C2211yescharacteristic
68C2×#66935C2211yescharacteristic
69C2×#66935C2211yescharacteristic
70C2×#66935C2211yescharacteristic
71C2×#66935C2211yescharacteristic
72C2×(C22⋊D11)⋊C4C2211yescharacteristic
73C2×(C22⋊D11)⋊C4C2211yescharacteristic
74C2×#66927C2211yescharacteristic
75C2×#66927C2211yescharacteristic
76C2×#66925C2211yescharacteristic, complemented
77C11×#400C2211yescharacteristic, complemented
78C11×#400C2211yescharacteristic, complemented
79C11×#398C2211yescharacteristic, complemented
80C11×#397C2211yescharacteristic
81C11×#397C2211yescharacteristic
82C11×#395C2211yescharacteristic, complemented
83C11×#391C2211yescharacteristic, complemented
84C11×#388C2211yescharacteristic
85C11×#388C2211yescharacteristic
86C11×#387C2211yescharacteristic, complemented
87C11×#387C2211yescharacteristic, complemented
88C11×#385C2211yescharacteristic
89C11×#380C2211yescharacteristic
90#10622844C2211yescharacteristic, complemented
91#10622826C2211yescharacteristic
92#10622607C2211yescharacteristic, complemented
93#10622607C2211yescharacteristic, complemented
94#10622607C2211yescharacteristic, complemented
95#10622606C2211yescharacteristic, complemented
96#10622605C2211yescharacteristic
97#10622605C2211yescharacteristic, complemented
98#10622605C2211yescharacteristic, complemented
99#10622604C2211yescharacteristic
100#10622604C2211yescharacteristic
101#10622604C2211yescharacteristic, complemented
102#10622604C2211yescharacteristic, complemented
103#10622604C2211yescharacteristic, complemented
104#10622602C2211yescharacteristic
105#10622602C2211yescharacteristic
106#10622602C2211yescharacteristic, complemented
107#10622602C2211yescharacteristic, complemented
108#10622602C2211yescharacteristic, complemented
109#10622601C2211yescharacteristic
110#10622600C2211yescharacteristic
111#10622600C2211yescharacteristic
112#10622594C2211yescharacteristic, complemented
113#10622593C2211yescharacteristic, complemented
114#10622585C2211yescharacteristic, complemented
115#10622573C2211yescharacteristic
116#10622573C2211yescharacteristic
117#10622573C2211yescharacteristic
118#10622573C2211yescharacteristic
119#10622572C2211yescharacteristic
120#10622572C2211yescharacteristic
121#10622571C2211yescharacteristic
122#10622571C2211yescharacteristic
123#10622571C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622568C2211yescharacteristic
127#10622559C2211yescharacteristic
128#10622553C2211yescharacteristic
129#10622553C2211yescharacteristic
130#10622553C2211yescharacteristic, complemented
131#10622553C2211yescharacteristic, complemented
132C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
133#10622289C2211yescharacteristic
134#10622288C2211yescharacteristic
135#10622288C2211yescharacteristic, complemented
136#10622285C2211yescharacteristic
137#10622285C2211yescharacteristic
138#10622285C2211yescharacteristic
139#10622285C2211yescharacteristic
140#10622285C2211yescharacteristic, complemented
141#10622285C2211yescharacteristic, complemented
142#10622284C2211yescharacteristic
143#10622284C2211yescharacteristic
144#10622284C2211yescharacteristic
145#10622284C2211yescharacteristic
146#10622284C2211yescharacteristic
147#10622284C2211yescharacteristic
148#10622284C2211yescharacteristic
149#10622284C2211yescharacteristic, complemented
150#10622284C2211yescharacteristic, complemented
151#10622284C2211yescharacteristic, complemented
152#10622284C2211yescharacteristic, complemented
153#10622282C2211yescharacteristic
154#10622282C2211yescharacteristic, complemented
155#10622282C2211yescharacteristic, complemented
156#10622282C2211yescharacteristic, complemented
157#10622281C2211yescharacteristic, complemented
158#10622281C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic, complemented
160#10622280C2211yescharacteristic, complemented
161#10622280C2211yescharacteristic, complemented
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622278C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180#10622278C2211yescharacteristic, complemented
181#10622277C2211yescharacteristic
182#10622277C2211yescharacteristic
183D11×#95C2211yescharacteristic, complemented
184#10622271C2211yescharacteristic, complemented
185#10622270C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187#10622264C2211yescharacteristic, complemented
188#10622263C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C2×#4343—24no—
199C2×#4343—42no—
200C2×#4343—42no—
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×D44C2311yescharacteristic
221C22×C4×D11—24no—
222C22×C4×D11—42no—
223C22×C4×D11—42no—
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C11×#125—24no—
236C11×C22⋊Q8—24no—
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C42×C11C2311yescharacteristic
255C2×C42×C11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257#67000—42no—
258#66999—24no—
259#66983—24no—
260#66983—42no—
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
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×(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
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324#66948—24no—
325#66948—24no—
326#66948—24no—
327#66948—24no—
328#66948—24no—
329#66948—24no—
330#66948—24no—
331#66948—42no—
332#66948—42no—
333#66948—42no—
334#66947—24no—
335#66947—24no—
336#66947—24no—
337#66947—24no—
338#66947—24no—
339#66947—24no—
340#66947—42no—
341#66946—24no—
342#66946—24no—
343#66946D418yescomplemented
344#66945—24no—
345#66937—42no—
346#66937—42no—
347#66937—42no—
348#66937—42no—
349#66935—24no—
350#66935—24no—
351#66935—42no—
352#66935—42no—
353#66935—42no—
354(C22⋊D11)⋊C4—24no—
355(C22⋊D11)⋊C4—24no—
356#66927—24no—
357#66927—42no—
358#66925—24no—
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#36713—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C23×D11—22no—
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—41no—
397C23×D11—41no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11C2411yescharacteristic
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C23×D11C2411yescharacteristic
407C2×Q8×C11—22no—
408C2×Q8×C11—22no—
409C2×Q8×C11—41no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—41no—
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C22×Dic11—22no—
443C22×Dic11—41no—
444C22×Dic11—41no—
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454#4343—416no—
455C2×D44—22no—
456C2×D44—22no—
457C2×D44—22no—
458C2×D44—22no—
459C2×D44—22no—
460C2×D44—22no—
461C2×D44—22no—
462C2×D44—22no—
463C2×D44—22no—
464C2×D44—22no—
465C2×D44—22no—
466C2×D44—22no—
467C2×D44—22no—
468C2×D44—22no—
469C2×D44—22no—
470C2×D44—22no—
471C2×D44—22no—
472C2×D44—22no—
473C2×D44—22no—
474C2×D44—41no—
475C2×D44—41no—
476C2×D44—41no—
477C2×D44—41no—
478C2×D44—41no—
479C2×D44—41no—
480C2×D44—41no—
481C2×D44—41no—
482C2×D44—41no—
483C2×D44—41no—
484C2×D44—41no—
485C2×D44—41no—
486C2×D44—41no—
487C2×D44—41no—
488C2×D44—41no—
489C2×D44—41no—
490C2×D44—41no—
491C2×D44—41no—
492C2×D44—41no—
493C2×D44—41no—
494C2×D44—41no—
495C2×D44—41no—
496C2×D44—41no—
497C2×D44—41no—
498C2×D44—41no—
499C2×D44—41no—
500C2×D44—41no—
501C2×D44—41no—
502C2×D44—41no—
503C2×D44—41no—
504C2×D44—41no—
505C2×D44—41no—
506C2×D44—41no—
507C2×D44—41no—
508C2×D44—41no—
509C2×D44—41no—
510C2×D44—41no—
511C2×D44—41no—
512C2×D44—41no—
513C2×D44—41no—
514C2×D44C2×D414yes—
515C2×C4×D11—22no—
516C2×C4×D11—22no—
517C2×C4×D11—22no—
518C2×C4×D11—22no—
519C2×C4×D11—22no—
520C2×C4×D11—22no—
521C2×C4×D11—22no—
522C2×C4×D11—22no—
523C2×C4×D11—22no—
524C2×C4×D11—22no—
525C2×C4×D11—22no—
526C2×C4×D11—41no—
527C2×C4×D11—41no—
528C2×C4×D11—41no—
529C2×C4×D11—41no—
530C2×C4×D11—41no—
531C2×C4×D11—41no—
532C2×C4×D11—41no—
533C2×C4×D11—41no—
534C2×C4×D11—41no—
535C2×C4×D11—41no—
536C2×C4×D11—41no—
537C2×C4×D11—41no—
538C2×C4×D11—41no—
539C2×C4×D11—41no—
540C2×C4×D11—41no—
541C2×C4×D11—41no—
542C2×C4×D11—41no—
543C2×C4×D11—41no—
544C2×C4×D11—41no—
545C2×C4×D11—41no—
546C2×C4×D11—416no—
547C2×C4×D11C2×D414yes—
548C2×C4×D11C2×D414yes—
549C11×C4⋊C4—22no—
550C11×C4⋊C4—22no—
551C11×C4⋊C4—22no—
552C11×C4⋊C4—22no—
553C11×C4⋊C4—22no—
554C11×C4⋊C4—22no—
555C11×C4⋊C4—22no—
556C11×C4⋊C4—22no—
557C11×C4⋊C4—41no—
558C11×C4⋊C4—41no—
559C11×C4⋊C4C2×D414yes—
560C11×C22⋊C4—22no—
561C11×C22⋊C4—22no—
562C11×C22⋊C4—22no—
563C11×C22⋊C4—22no—
564C11×C22⋊C4—22no—
565C11×C22⋊C4—41no—
566C42×C11—22no—
567C42×C11—41no—
568C22⋊Dic11—41no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—22no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—41no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4—41no—
590(C2×D11)⋊C4—41no—
591(C2×D11)⋊C4—41no—
592(C2×D11)⋊C4—41no—
593(C2×D11)⋊C4—41no—
594(C2×D11)⋊C4—41no—
595(C2×D11)⋊C4—41no—
596(C2×D11)⋊C4—41no—
597(C2×D11)⋊C4—41no—
598(C2×D11)⋊C4—41no—
599(C2×D11)⋊C4—41no—
600(C2×D11)⋊C4—41no—
601(C2×D11)⋊C4—41no—
602(C2×D11)⋊C4—41no—
603(C2×D11)⋊C4—41no—
604(C2×D11)⋊C4—41no—
605(C2×D11)⋊C4—41no—
606(C2×D11)⋊C4—41no—
607(C2×D11)⋊C4—41no—
608(C2×D11)⋊C4—41no—
609(C2×D11)⋊C4—41no—
610(C2×D11)⋊C4—41no—
611(C2×D11)⋊C4—41no—
612(C2×D11)⋊C4—41no—
613(C2×D11)⋊C4—41no—
614(C2×D11)⋊C4C2×D414yes—
615(C2×D11)⋊C4C2×D414yes—
616C4⋊Dic11—22no—
617C4⋊Dic11—41no—
618Dic11⋊C4—22no—
619Dic11⋊C4—22no—
620Dic11⋊C4—22no—
621Dic11⋊C4—22no—
622Dic11⋊C4—41no—
623Dic11⋊C4—41no—
624Dic11⋊C4—41no—
625Dic11⋊C4—41no—
626Dic11⋊C4—41no—
627Dic11⋊C4—41no—
628Dic11⋊C4—41no—
629C4×Dic11—22no—
630C4×Dic11—41no—
631C4×Dic11C2×D414yes—
632C2×#540—111no—
633C2×#525—111no—
634#2849—111no—
635#2847—111no—
636#2694—111no—
637#2693—111no—
638#2690D1111yescharacteristic, complemented
639#2688—111no—
640#2687—111no—
641#2678—111no—
642#2676—111no—
643#2675—111no—
644#2673—111no—
645#2673—111no—
646#2672—111no—
647#2671—111no—
648#2671—111no—
649#2669—111no—
650#2669—111no—
651#2668—111no—
652#2635—111no—
653#2630—111no—
654#2609—111no—
655#2602—111no—
656#2598—111no—
657#2598—111no—
658#2543—111no—
659#2535—111no—
660#2431—111no—
661#2430—111no—
662#2318—111no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11H(5,𝔽2)12yes—
670C23×C11C2511yescharacteristic
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—21no—
709C22×D11—21no—
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—21no—
717C22×D11—44no—
718C22×D11—44no—
719C22×D11—44no—
720C22×D11—44no—
721C22×D11—44no—
722C22×D11—44no—
723C22×D11—44no—
724C22×D11C22×D412yes—
725C22×D11C22×D412yes—
726C22×D11H(5,𝔽2)12yes—
727Q8×C11—44no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—44no—
767C2×C4×C11C22×D412yes—
768C2×C4×C11C22×D412yes—
769C2×C4×C11C22×D412yes—
770C2×C4×C11H(5,𝔽2)12yes—
771C22⋊D11—44no—
772C22⋊D11—44no—
773C22⋊D11—82no—
774C22⋊D11—82no—
775C22⋊D11—82no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—44no—
802C2×Dic11C22×D412yes—
803C2×Dic11C22×D412yes—
804D44—44no—
805D44—44no—
806D44—44no—
807D44—44no—
808D44—44no—
809D44—44no—
810D44—82no—
811D44—82no—
812D44—82no—
813D44—82no—
814D44—82no—
815D44—82no—
816D44—82no—
817D44—82no—
818D44—82no—
819D44—82no—
820D44—82no—
821D44—82no—
822D44—82no—
823D44—82no—
824C4×D11—28no—
825C4×D11—44no—
826C4×D11—44no—
827C4×D11—44no—
828C4×D11—44no—
829C4×D11—44no—
830C4×D11—44no—
831C4×D11—82no—
832C4×D11—82no—
833C4×D11—82no—
834C4×D11—82no—
835C22×#41—111no—
836C24×C4—111no—
837#540—228no—
838C2×#127—111no—
839C2×#127—111no—
840C2×#125C2×D1111yescharacteristic, complemented
841C2×#124—111no—
842#525—228no—
843C2×#123—111no—
844C2×#123—111no—
845C2×#123—111no—
846C2×#123—111no—
847C2×#123—111no—
848C2×#123—111no—
849C2×#123—111no—
850C2×C22⋊Q8—111no—
851C2×C22⋊Q8C2×D1111yescharacteristic
852C2×#121—111no—
853C2×#121—111no—
854C2×#121—111no—
855C2×#121—111no—
856C2×#121—111no—
857C2×#121—111no—
858C2×#121—111no—
859C2×#121—111no—
860C2×#121—111no—
861C2×#121—111no—
862C2×#121—111no—
863C2×#121—111no—
864C2×#121—111no—
865C2×#121—111no—
866C2×#121—111no—
867C2×#121—111no—
868C2×#120—111no—
869C2×#120—111no—
870C2×#120—111no—
871C2×#120—111no—
872C2×#120—111no—
873C2×C4×D4—111no—
874C2×C4×D4—111no—
875C2×C4×D4—111no—
876C2×C4×D4—111no—
877C2×C4×D4—111no—
878C2×#117—111no—
879C2×#117—111no—
880#400—111no—
881#400C2×D1111yescharacteristic, complemented
882#400C2×D1111yescharacteristic, complemented
883#399—111no—
884#399—111no—
885#399—111no—
886#398—111no—
887#398—111no—
888#398C2×D1111yescharacteristic, complemented
889#397—111no—
890#397—111no—
891#397—111no—
892#397C2×D1111yescharacteristic
893#397C2×D1111yescharacteristic
894#396—111no—
895#396—111no—
896#396—111no—
897#396—111no—
898#395C2×D1111yescharacteristic, complemented
899#394—111no—
900#394—111no—
901#394—111no—
902#394—111no—
903#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394—111no—
908#394—111no—
909#394—111no—
910#394—111no—
911#394—111no—
912#393—111no—
913#392—111no—
914#392—111no—
915#392—111no—
916#392—111no—
917#392—111no—
918#392—111no—
919#392—111no—
920#392—111no—
921#392—111no—
922#392—111no—
923#392—111no—
924#392—111no—
925#392—111no—
926#392—111no—
927#392—111no—
928#391C2×D1111yescharacteristic, complemented
929#390—111no—
930#390—111no—
931#389—111no—
932#388—111no—
933#388—111no—
934#388—111no—
935#388—111no—
936#388—111no—
937#388—111no—
938#388—111no—
939#388—111no—
940#388C2×D1111yescharacteristic
941#388C2×D1111yescharacteristic
942#387—111no—
943#387—111no—
944#387C2×D1111yescharacteristic, complemented
945#387C2×D1111yescharacteristic, complemented
946#386—111no—
947#386—111no—
948#386—111no—
949#386—111no—
950#386—111no—
951#386—111no—
952#386—111no—
953#386—111no—
954#386—111no—
955#386—111no—
956#386—111no—
957#386—111no—
958#386—111no—
959#386—111no—
960#386—111no—
961#386—111no—
962#386—111no—
963#386—111no—
964#386—111no—
965#386—111no—
966#386—111no—
967#386—111no—
968#386—111no—
969#386—111no—
970#385—111no—
971#385—111no—
972#385—111no—
973#385—111no—
974#385—111no—
975#385—111no—
976#385—111no—
977#385—111no—
978#385—111no—
979#385C2×D1111yescharacteristic
980#383—111no—
981#382—111no—
982#381—111no—
983#381—111no—
984#380—111no—
985#380—111no—
986#380—111no—
987#380—111no—
988#380C2×D1111yescharacteristic
989#379—111no—
990C4×C22⋊C4—111no—
991C2×#95—111no—
992C22×C11—22no—
993C22×C11—22no—
994C22×C11—22no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11C23×D411yescharacteristic
1000C22×C11C2×H(5,𝔽2)11yescharacteristic
1001C22×C11C2×H(5,𝔽2)11yescharacteristic
1002C22×C11C2×H(5,𝔽2)11yescharacteristic
1003C22×C11#58511yescharacteristic
1004C22×C11#58511yescharacteristic
1005C22×C11#58511yescharacteristic
1006C2×D11—22no—
1007C2×D11—22no—
1008C2×D11—22no—
1009C2×D11—22no—
1010C2×D11—22no—
1011C2×D11—22no—
1012C2×D11—22no—
1013C2×D11—22no—
1014C2×D11—22no—
1015C2×D11—416no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—41no—
1030C2×D11—41no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C4×C11—22no—
1057C4×C11—22no—
1058C4×C11—22no—
1059C4×C11—22no—
1060C4×C11—41no—
1061C4×C11—41no—
1062C4×C11—41no—
1063C4×C11—41no—
1064C4×C11—41no—
1065C4×C11—41no—
1066C4×C11—41no—
1067C4×C11—41no—
1068C4×C11—41no—
1069C4×C11—41no—
1070Dic11—22no—
1071Dic11—22no—
1072Dic11—41no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11—41no—
1077Dic11—41no—
1078Dic11—41no—
1079C25—111no—
1080C2×#41—224no—
1081C2×#41—442no—
1082C2×#41—442no—
1083C22×Q8C22×D1111yescharacteristic
1084C22×D4—111no—
1085C22×D4—111no—
1086C22×D4—111no—
1087C22×D4—111no—
1088C22×D4—111no—
1089C22×D4—111no—
1090C22×D4—111no—
1091C22×D4—111no—
1092C22×D4—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—111no—
1096C22×D4—111no—
1097C22×D4—111no—
1098C22×D4—111no—
1099C22×D4—111no—
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—111no—
1105C22×D4—111no—
1106C22×D4—111no—
1107C22×D4—111no—
1108C22×D4—111no—
1109C23×C4—111no—
1110C23×C4—111no—
1111C23×C4—111no—
1112C23×C4—111no—
1113C23×C4—111no—
1114C23×C4—111no—
1115C23×C4—111no—
1116C23×C4—111no—
1117C23×C4—111no—
1118C23×C4—111no—
1119C23×C4—111no—
1120C23×C4—111no—
1121C23×C4—224no—
1122C23×C4—442no—
1123C23×C4—442no—
1124C23×C4C22×D1111yescharacteristic
1125#127—224no—
1126#127—442no—
1127#125—24no—
1128#124—442no—
1129#123—224no—
1130#123—224no—
1131#123—224no—
1132#123—224no—
1133#123—224no—
1134#123—224no—
1135#123—442no—
1136C22⋊Q8—24no—
1137C22⋊Q8—224no—
1138#121—224no—
1139#121—224no—
1140#121—224no—
1141#121—224no—
1142#121—224no—
1143#121—224no—
1144#121—224no—
1145#121—224no—
1146#121—442no—
1147#121—442no—
1148#121—442no—
1149#121—442no—
1150#121—442no—
1151#121—442no—
1152#121—442no—
1153#121—442no—
1154#120—224no—
1155#120—224no—
1156#120—442no—
1157#120—442no—
1158#120—442no—
1159C4×D4—118no—
1160C4×D4—224no—
1161C4×D4—224no—
1162C4×D4—224no—
1163C4×D4—224no—
1164#117—224no—
1165#117—224no—
1166C2×C4⋊C4—111no—
1167C2×C4⋊C4—111no—
1168C2×C4⋊C4—111no—
1169C2×C4⋊C4—111no—
1170C2×C4⋊C4—111no—
1171C2×C4⋊C4—111no—
1172C2×C4⋊C4—111no—
1173C2×C4⋊C4—111no—
1174C2×C4⋊C4—111no—
1175C2×C4⋊C4—111no—
1176C2×C4⋊C4—111no—
1177C2×C4⋊C4—111no—
1178C2×C4⋊C4—111no—
1179C2×C4⋊C4C22×D1111yescharacteristic
1180C2×C4⋊C4C22×D1111yescharacteristic
1181C2×C4⋊C4C22×D1111yescharacteristic
1182C2×C4⋊C4C22×D1111yescharacteristic
1183C2×C4⋊C4C22×D1111yescharacteristic
1184C2×C4⋊C4C22×D1111yescharacteristic
1185C2×C4⋊C4C22×D1111yescharacteristic
1186C2×C4⋊C4C22×D1111yescharacteristic
1187C2×C4⋊C4C22×D1111yescharacteristic
1188C2×C4⋊C4C22×D1111yescharacteristic
1189C2×C4⋊C4C22×D1111yescharacteristic
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—111no—
1210C2×C22⋊C4—111no—
1211C2×C22⋊C4—111no—
1212C2×C22⋊C4—111no—
1213C2×C22⋊C4—111no—
1214C2×C22⋊C4—111no—
1215C2×C22⋊C4—111no—
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—111no—
1231C2×C22⋊C4—111no—
1232C2×C22⋊C4—111no—
1233C2×C22⋊C4—111no—
1234C2×C22⋊C4—111no—
1235C2×C22⋊C4—111no—
1236C2×C22⋊C4—111no—
1237C2×C22⋊C4—111no—
1238C2×C22⋊C4C22×D1111yescharacteristic
1239C2×C22⋊C4C22×D1111yescharacteristic
1240C2×C22⋊C4C22×D1111yescharacteristic
1241C2×C22⋊C4C22×D1111yescharacteristic
1242C2×C22⋊C4C22×D1111yescharacteristic
1243C2×C22⋊C4C22×D1111yescharacteristic
1244C2×C42—111no—
1245C2×C42—111no—
1246C2×C42—111no—
1247C2×C42C22×D1111yescharacteristic
1248C2×C42C22×D1111yescharacteristic
1249#95—111no—
1250#95—111no—
1251#95—111no—
1252#95—111no—
1253#95—111no—
1254#95—111no—
1255#95—111no—
1256#95—111no—
1257#95—111no—
1258#95—111no—
1259#95—111no—
1260#95—111no—
1261#95—111no—
1262#95—111no—
1263#95—111no—
1264#95—111no—
1265#95—111no—
1266#95—111no—
1267#95C22×D1111yescharacteristic
1268#95C22×D1111yescharacteristic
1269#95C22×D1111yescharacteristic
1270#95C22×D1111yescharacteristic
1271#95C22×D1111yescharacteristic
1272#95C22×D1111yescharacteristic
1273#95C22×D1111yescharacteristic
1274#95C22×D1111yescharacteristic
1275#95C22×D1111yescharacteristic
1276#95C22×D1111yescharacteristic
1277#95C22×D1111yescharacteristic
1278#95C22×D1111yescharacteristic
1279#95C22×D1111yescharacteristic
1280#95C22×D1111yescharacteristic
1281C2×C11—42no—
1282C2×C11#344911yescharacteristic
1283C2×C11#348411yescharacteristic
1284C2×C11#348811yescharacteristic
1285C2×C11#353311yescharacteristic
1286C2×C11#353411yescharacteristic
1287C2×C11#353911yescharacteristic
1288C2×C11#354211yescharacteristic
1289D11—42no—
1290D11—42no—
1291D11—42no—
1292D11—81no—
1293D11—81no—
1294D11—81no—
1295D11—81no—
1296C24—111no—
1297C24—111no—
1298C24—111no—
1299C24—111no—
1300C24—111no—
1301C24—111no—
1302C24—111no—
1303C24—222no—
1304C24—222no—
1305C24—222no—
1306C24—441no—
1307C24—441no—
1308C24—441no—
1309C24—441no—
1310C24C23×D1111yescharacteristic
1311#41—4416no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—41no—
1315C2×D4—114no—
1316C2×D4—222no—
1317C2×D4—222no—
1318C2×D4—222no—
1319C2×D4—222no—
1320C2×D4—222no—
1321C2×D4—222no—
1322C2×D4—222no—
1323C2×D4—222no—
1324C2×D4—222no—
1325C2×D4—222no—
1326C2×D4—222no—
1327C2×D4—222no—
1328C2×D4—222no—
1329C2×D4—222no—
1330C2×D4—222no—
1331C2×D4—222no—
1332C2×D4—222no—
1333C2×D4—222no—
1334C2×D4—222no—
1335C2×D4—222no—
1336C2×D4—222no—
1337C2×D4—222no—
1338C2×D4—222no—
1339C2×D4—222no—
1340C2×D4—222no—
1341C2×D4—222no—
1342C2×D4—441no—
1343C2×D4—441no—
1344C2×D4—441no—
1345C2×D4—441no—
1346C2×D4—441no—
1347C2×D4—441no—
1348C2×D4—441no—
1349C2×D4—441no—
1350C2×D4—441no—
1351C2×D4—441no—
1352C2×D4—441no—
1353C2×D4—441no—
1354C2×D4—441no—
1355C2×D4—441no—
1356C2×D4—441no—
1357C2×D4—441no—
1358C2×D4—441no—
1359C2×D4—441no—
1360C2×D4—441no—
1361C2×D4—441no—
1362C2×D4—441no—
1363C2×D4—441no—
1364C2×D4—441no—
1365C2×D4—441no—
1366C2×D4—441no—
1367C2×D4—441no—
1368C2×D4—441no—
1369C2×D4—441no—
1370C2×D4—441no—
1371C2×D4—441no—
1372C2×D4—441no—
1373C2×D4—441no—
1374C2×D4—441no—
1375C2×D4—441no—
1376C2×D4—441no—
1377C2×D4—441no—
1378C2×D4—441no—
1379C2×D4—441no—
1380C2×D4—441no—
1381C2×D4—441no—
1382C2×D4—441no—
1383C2×D4—441no—
1384C2×D4—441no—
1385C2×D4—441no—
1386C2×D4—441no—
1387C2×D4—441no—
1388C2×D4—441no—
1389C2×D4—441no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—41no—
1393C22×C4—111no—
1394C22×C4—111no—
1395C22×C4—114no—
1396C22×C4—114no—
1397C22×C4—111no—
1398C22×C4—111no—
1399C22×C4—111no—
1400C22×C4—111no—
1401C22×C4—111no—
1402C22×C4—111no—
1403C22×C4—111no—
1404C22×C4—222no—
1405C22×C4—222no—
1406C22×C4—222no—
1407C22×C4—222no—
1408C22×C4—222no—
1409C22×C4—222no—
1410C22×C4—222no—
1411C22×C4—222no—
1412C22×C4—222no—
1413C22×C4—222no—
1414C22×C4—222no—
1415C22×C4—222no—
1416C22×C4—441no—
1417C22×C4—441no—
1418C22×C4—441no—
1419C22×C4—441no—
1420C22×C4—441no—
1421C22×C4—441no—
1422C22×C4—441no—
1423C22×C4—441no—
1424C22×C4—441no—
1425C22×C4—441no—
1426C22×C4—441no—
1427C22×C4—441no—
1428C22×C4—441no—
1429C22×C4—441no—
1430C22×C4—441no—
1431C22×C4—441no—
1432C22×C4—441no—
1433C22×C4—441no—
1434C22×C4—441no—
1435C22×C4—441no—
1436C22×C4—4416no—
1437C22×C4—441no—
1438C22×C4—441no—
1439C22×C4C23×D1111yescharacteristic
1440C22×C4C23×D1111yescharacteristic
1441C22×C4C23×D1111yescharacteristic
1442C22×C4C23×D1111yescharacteristic
1443C22×C4C23×D1111yescharacteristic
1444C22×C4C23×D1111yescharacteristic
1445C22×C4C23×D1111yescharacteristic
1446C22×C4C23×D1111yescharacteristic
1447C22×C4C23×D1111yescharacteristic
1448C22×C4C23×D1111yescharacteristic
1449C22×C4C23×D1111yescharacteristic
1450C22×C4C23×D1111yescharacteristic
1451C22×C4C23×D1111yescharacteristic
1452C22×C4C23×D1111yescharacteristic
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—41no—
1462C4⋊C4—41no—
1463C4⋊C4—222no—
1464C4⋊C4—222no—
1465C4⋊C4—222no—
1466C4⋊C4—222no—
1467C4⋊C4—222no—
1468C4⋊C4—441no—
1469C4⋊C4—441no—
1470C4⋊C4—441no—
1471C4⋊C4—441no—
1472C4⋊C4—441no—
1473C4⋊C4—441no—
1474C4⋊C4—441no—
1475C4⋊C4—441no—
1476C4⋊C4D4×D1114yes—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—41no—
1483C22⋊C4—114no—
1484C22⋊C4—114no—
1485C22⋊C4—222no—
1486C22⋊C4—222no—
1487C22⋊C4—222no—
1488C22⋊C4—222no—
1489C22⋊C4—222no—
1490C22⋊C4—222no—
1491C22⋊C4—222no—
1492C22⋊C4—222no—
1493C22⋊C4—222no—
1494C22⋊C4—222no—
1495C22⋊C4—222no—
1496C22⋊C4—222no—
1497C22⋊C4—222no—
1498C22⋊C4—222no—
1499C22⋊C4—222no—
1500C22⋊C4—222no—
1501C22⋊C4—222no—
1502C22⋊C4—222no—
1503C22⋊C4—441no—
1504C22⋊C4—441no—
1505C22⋊C4—441no—
1506C22⋊C4—441no—
1507C22⋊C4—441no—
1508C22⋊C4—441no—
1509C22⋊C4—441no—
1510C22⋊C4—441no—
1511C22⋊C4—441no—
1512C22⋊C4—441no—
1513C22⋊C4—441no—
1514C22⋊C4—441no—
1515C22⋊C4—441no—
1516C22⋊C4—441no—
1517C22⋊C4—441no—
1518C22⋊C4—441no—
1519C22⋊C4—441no—
1520C22⋊C4—441no—
1521C22⋊C4—441no—
1522C22⋊C4—441no—
1523C22⋊C4—441no—
1524C22⋊C4—441no—
1525C22⋊C4—441no—
1526C22⋊C4—441no—
1527C22⋊C4—441no—
1528C22⋊C4—441no—
1529C22⋊C4—441no—
1530C22⋊C4—441no—
1531C42—22no—
1532C42—41no—
1533C42—114no—
1534C42—222no—
1535C42—441no—
1536C11#3671311yescharacteristic, complemented, Sylow
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—112no—
1544C23—112no—
1545C23—112no—
1546C23—221no—
1547C23—221no—
1548C23—221no—
1549C23—221no—
1550C23—221no—
1551C23—221no—
1552C23—221no—
1553C23—221no—
1554C23—221no—
1555C23—221no—
1556C23—221no—
1557C23—221no—
1558C23—221no—
1559C23—221no—
1560C23—221no—
1561C23—221no—
1562C23—221no—
1563C23—221no—
1564C23—221no—
1565C23—221no—
1566C23—221no—
1567C23—221no—
1568C23—221no—
1569C23—221no—
1570C23—221no—
1571C23—221no—
1572C23—221no—
1573C23—221no—
1574C23—221no—
1575C23—221no—
1576C23—221no—
1577C23—221no—
1578C23—221no—
1579C23—221no—
1580C23—221no—
1581C23—221no—
1582C23—221no—
1583C23—221no—
1584C23—221no—
1585C23—221no—
1586C23—221no—
1587C23—221no—
1588C23—221no—
1589C23—221no—
1590C23—221no—
1591C23—221no—
1592C23—444no—
1593C23—444no—
1594C23—444no—
1595C23—444no—
1596C23—444no—
1597C23—444no—
1598C23—444no—
1599C23#6704212yes—
1600C23C24×D1111yescharacteristic
1601Q8—44no—
1602D4—444no—
1603D4—444no—
1604D4—444no—
1605D4—444no—
1606D4—444no—
1607D4—444no—
1608D4—444no—
1609D4—444no—
1610D4—882no—
1611D4—882no—
1612D4—882no—
1613D4—882no—
1614D4—882no—
1615D4—882no—
1616D4—882no—
1617D4—882no—
1618D4—882no—
1619D4—882no—
1620D4—882no—
1621D4—882no—
1622D4—882no—
1623D4—882no—
1624D4—882no—
1625D4—882no—
1626D4—882no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—44no—
1666C2×C4—112no—
1667C2×C4—112no—
1668C2×C4—228no—
1669C2×C4—221no—
1670C2×C4—221no—
1671C2×C4—221no—
1672C2×C4—221no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—444no—
1695C2×C4—444no—
1696C2×C4—444no—
1697C2×C4—444no—
1698C2×C4—444no—
1699C2×C4—444no—
1700C2×C4—444no—
1701C2×C4—882no—
1702C2×C4—882no—
1703C2×C4—882no—
1704C2×C4—882no—
1705C2×C4C2×D4×D1112yes—
1706C2×C4C2×D4×D1112yes—
1707C2×C4C2×D4×D1112yes—
1708C2×C4#6704212yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—222no—
1717C22—222no—
1718C22—222no—
1719C22—222no—
1720C22—222no—
1721C22—222no—
1722C22—222no—
1723C22—222no—
1724C22—222no—
1725C22—4416no—
1726C22—441no—
1727C22—441no—
1728C22—441no—
1729C22—441no—
1730C22—441no—
1731C22—441no—
1732C22—441no—
1733C22—441no—
1734C22—441no—
1735C22—441no—
1736C22—441no—
1737C22—441no—
1738C22—441no—
1739C22—441no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—441no—
1751C22—441no—
1752C22—441no—
1753C22—441no—
1754C22—441no—
1755C22—441no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—441no—
1766C22C22×D4×D1111yescharacteristic
1767C22C2×#6704211yescharacteristic
1768C22C2×#6704211yescharacteristic
1769C22D11×H(5,𝔽2)11yescharacteristic
1770C22#1062345711yescharacteristic
1771C22#1062345711yescharacteristic
1772C22#1062345711yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—222no—
1788C4—222no—
1789C4—441no—
1790C4—441no—
1791C4—441no—
1792C4—441no—
1793C4—441no—
1794C4—441no—
1795C4—441no—
1796C2—42no—
1797C2—442no—
1798C2—442no—
1799C2—442no—
1800C2—881no—
1801C2—881no—
1802C2—881no—
1803C2—881no—
1804C2#1308194811yescharacteristic
1805C2#1308224611yescharacteristic
1806C2#1308228211yescharacteristic
1807C2#1308279211yescharacteristic
1808C2#1308281111yescharacteristic
1809C2#1308287811yescharacteristic
1810C2#1308292611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2690C2
hypercenter#2690D11
hypocenterC11#36713
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2690

Complements

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

NH ≅ G/Ntype
1. C2×#10623229C2semidirect
2. C2×#10623158C2semidirect
3. #13076911C2semidirect
4. #13076899C2semidirect
5. #13075130C2semidirect
6. #13075126C2semidirect
7. #13075059C2semidirect
8. #13075032C2semidirect
9. #13074940C2semidirect
10. #13074913C2semidirect
11. #13074907C2semidirect
12. #13074885C2semidirect
13. #13074885C2semidirect
14. #13074866C2semidirect
15. #13074859C2semidirect
16. #13074849C2semidirect
17. #13074831C2semidirect
18. #13074831C2semidirect
19. #13074826C2semidirect
20. #13074509C2semidirect
21. #13074466C2semidirect
22. #13074295C2semidirect
23. #13074233C2semidirect
24. #13074185C2semidirect
25. #13074180C2semidirect
26. #13073573C2semidirect
27. #13073514C2semidirect
28. #13072237C2semidirect
29. #13072227C2semidirect
30. #13071248C2semidirect
31. C11×#2690C2semidirect
34. C2×C11×#125C22semidirect
36. C2×#67000C22semidirect
48. C2×#66948C22semidirect
49. C2×#66948C22semidirect
50. C2×#66948C22semidirect
51. C2×#66948C22semidirect
57. C2×#66947C22semidirect
58. C2×#66947C22semidirect
61. C2×#66946C22semidirect
76. C2×#66925C22semidirect
77. C11×#400C22semidirect
78. C11×#400C22semidirect
79. C11×#398C22semidirect
82. C11×#395C22semidirect
83. C11×#391C22semidirect
86. C11×#387C22semidirect
87. C11×#387C22semidirect
90. #10622844C22semidirect
92. #10622607C22semidirect
93. #10622607C22semidirect
94. #10622607C22semidirect
95. #10622606C22semidirect
97. #10622605C22semidirect
98. #10622605C22semidirect
101. #10622604C22semidirect
102. #10622604C22semidirect
103. #10622604C22semidirect
106. #10622602C22semidirect
107. #10622602C22semidirect
108. #10622602C22semidirect
112. #10622594C22semidirect
113. #10622593C22semidirect
114. #10622585C22semidirect
130. #10622553C22semidirect
131. #10622553C22semidirect
132. C4×(C2×D11)⋊C4C22semidirect
135. #10622288C22semidirect
140. #10622285C22semidirect
141. #10622285C22semidirect
149. #10622284C22semidirect
150. #10622284C22semidirect
151. #10622284C22semidirect
152. #10622284C22semidirect
154. #10622282C22semidirect
155. #10622282C22semidirect
156. #10622282C22semidirect
157. #10622281C22semidirect
158. #10622281C22semidirect
159. #10622281C22semidirect
160. #10622280C22semidirect
161. #10622280C22semidirect
174. #10622278C22semidirect
175. #10622278C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
178. #10622278C22semidirect
179. #10622278C22semidirect
180. #10622278C22semidirect
183. D11×#95C22semidirect
184. #10622271C22semidirect
185. #10622270C22semidirect
186. #10622265C22semidirect
187. #10622264C22semidirect
188. #10622263C22semidirect
343. #66946D4semidirect
638. #2690D11semidirect
840. C2×#125C2×D11semidirect
881. #400C2×D11semidirect
882. #400C2×D11semidirect
888. #398C2×D11semidirect
898. #395C2×D11semidirect
928. #391C2×D11semidirect
944. #387C2×D11semidirect
945. #387C2×D11semidirect
1536. C11#36713semidirect

Maximal subgroups

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

subgroupindex
C2×#106232292
C2×#106231582
#130769112
#130768992
#130751302
#130751262
#130750592
#130750322
#130749402
#130749132
#130749072
#130748852
#130748662
#130748592
#130748492
#130748312
#130748262
#130745092
#130744662
#130742952
#130742332
#130741852
#130741802
#130735732
#130735142
#130722372
#130722272
#130712482
C11×#26902
#3671311