Finite Group Databasebeta

← #14962580

Subgroups — #14962580

Order 2816.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076911C211yesmaximal, characteristic, complemented
2#13076899C211yesmaximal, characteristic, complemented
3#13076557C211yesmaximal, characteristic, complemented
4#13076471C211yesmaximal, characteristic, complemented
5#13076313C211yesmaximal, characteristic, complemented
6#13076271C211yesmaximal, characteristic, complemented
7#13076229C211yesmaximal, characteristic, complemented
8#13075870C211yesmaximal, characteristic, complemented
9#13075859C211yesmaximal, characteristic, complemented
10#13075784C211yesmaximal, characteristic, complemented
11#13075413C211yesmaximal, characteristic, complemented
12#13075359C211yesmaximal, characteristic, complemented
13#13075339C211yesmaximal, characteristic, complemented
14#13075337C211yesmaximal, characteristic, complemented
15#13075157C211yesmaximal, characteristic, complemented
16#13075025C211yesmaximal, characteristic, complemented
17#13074978C211yesmaximal, characteristic, complemented
18#13074570C211yesmaximal, characteristic, complemented
19#13074548C211yesmaximal, characteristic, complemented
20#13072875C211yesmaximal, characteristic, complemented
21#13072746C211yesmaximal, characteristic, complemented
22#13072352C211yesmaximal, characteristic, complemented
23#13072299C211yesmaximal, characteristic, complemented
24#13072227C211yesmaximal, characteristic, complemented
25#13072147C211yesmaximal, characteristic, complemented
26#13072000C211yesmaximal, characteristic, complemented
27#13071936C211yesmaximal, characteristic, complemented
28#13071280C211yesmaximal, characteristic, complemented
29#13071207C211yesmaximal, characteristic, complemented
30D11×#385C211yesmaximal, characteristic, complemented
31C11×#2788C211yesmaximal, characteristic, complemented
32C22×#4343C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×#66983C2211yescharacteristic
35C2×#66951C2211yescharacteristic, complemented
36C2×#66949C2211yescharacteristic
37C2×#66948C2211yescharacteristic
38C2×#66948C2211yescharacteristic
39C2×#66948C2211yescharacteristic
40C2×#66948C2211yescharacteristic
41C2×#66947C2211yescharacteristic
42C2×#66947C2211yescharacteristic
43C2×#66947C2211yescharacteristic
44C2×#66947C2211yescharacteristic, complemented
45C2×#66946C2211yescharacteristic
46C2×C4⋊C4×D11C2211yescharacteristic
47C2×C4⋊C4×D11C2211yescharacteristic
48C2×#66935C2211yescharacteristic
49C2×#66935C2211yescharacteristic
50C2×#66935C2211yescharacteristic
51C2×C22⋊C4×D11C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×#66928C2211yescharacteristic
54C2×#66925C2211yescharacteristic
55C11×#400C2211yescharacteristic, complemented
56C11×#400C2211yescharacteristic, complemented
57C11×#398C2211yescharacteristic, complemented
58C11×#396C2211yescharacteristic
59C11×#395C2211yescharacteristic, complemented
60C11×#393C2211yescharacteristic
61C11×#391C2211yescharacteristic, complemented
62C11×#389C2211yescharacteristic, complemented
63C11×#389C2211yescharacteristic, complemented
64C11×#388C2211yescharacteristic
65C11×#388C2211yescharacteristic
66C11×#387C2211yescharacteristic, complemented
67C11×#385C2211yescharacteristic
68C11×#385C2211yescharacteristic
69C11×#380C2211yescharacteristic
70#10622844C2211yescharacteristic
71#10622844C2211yescharacteristic, complemented
72#10622843C2211yescharacteristic, complemented
73#10622826C2211yescharacteristic
74#10622823C2211yescharacteristic
75#10622607C2211yescharacteristic, complemented
76#10622607C2211yescharacteristic, complemented
77#10622606C2211yescharacteristic, complemented
78#10622605C2211yescharacteristic, complemented
79#10622604C2211yescharacteristic
80#10622604C2211yescharacteristic
81#10622604C2211yescharacteristic, complemented
82#10622604C2211yescharacteristic, complemented
83#10622604C2211yescharacteristic, complemented
84#10622603C2211yescharacteristic
85#10622603C2211yescharacteristic
86#10622603C2211yescharacteristic, complemented
87#10622602C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622602C2211yescharacteristic, complemented
93#10622602C2211yescharacteristic, complemented
94#10622602C2211yescharacteristic, complemented
95#10622601C2211yescharacteristic, complemented
96#10622600C2211yescharacteristic
97#10622600C2211yescharacteristic
98#10622596C2211yescharacteristic, complemented
99#10622595C2211yescharacteristic, complemented
100#10622595C2211yescharacteristic, complemented
101#10622594C2211yescharacteristic, complemented
102#10622593C2211yescharacteristic, complemented
103#10622592C2211yescharacteristic, complemented
104#10622591C2211yescharacteristic, complemented
105#10622585C2211yescharacteristic, complemented
106#10622573C2211yescharacteristic
107#10622573C2211yescharacteristic
108#10622572C2211yescharacteristic
109#10622572C2211yescharacteristic
110#10622571C2211yescharacteristic
111#10622571C2211yescharacteristic
112#10622571C2211yescharacteristic
113#10622570C2211yescharacteristic
114#10622570C2211yescharacteristic
115#10622570C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622568C2211yescharacteristic
120#10622563C2211yescharacteristic
121#10622561C2211yescharacteristic
122#10622560C2211yescharacteristic
123#10622559C2211yescharacteristic
124#10622559C2211yescharacteristic
125#10622553C2211yescharacteristic, complemented
126#10622553C2211yescharacteristic, complemented
127#10622552C2211yescharacteristic
128#10622552C2211yescharacteristic, complemented
129C4×(C2×D11)⋊C4C2211yescharacteristic
130#10622546C2211yescharacteristic, complemented
131#10622289C2211yescharacteristic
132#10622288C2211yescharacteristic
133#10622288C2211yescharacteristic, complemented
134#10622288C2211yescharacteristic, complemented
135#10622288C2211yescharacteristic, complemented
136#10622288C2211yescharacteristic, complemented
137#10622288C2211yescharacteristic, complemented
138#10622287C2211yescharacteristic, complemented
139#10622286C2211yescharacteristic, complemented
140#10622286C2211yescharacteristic, complemented
141#10622285C2211yescharacteristic
142#10622285C2211yescharacteristic
143#10622285C2211yescharacteristic, complemented
144#10622284C2211yescharacteristic
145#10622284C2211yescharacteristic, complemented
146#10622283C2211yescharacteristic, complemented
147#10622282C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic, complemented
152#10622281C2211yescharacteristic, complemented
153#10622280C2211yescharacteristic, complemented
154#10622280C2211yescharacteristic, complemented
155#10622280C2211yescharacteristic, complemented
156#10622280C2211yescharacteristic, complemented
157#10622278C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622277C2211yescharacteristic
174#10622277C2211yescharacteristic
175#10622277C2211yescharacteristic
176D11×#95C2211yescharacteristic
177D11×#95C2211yescharacteristic
178C11⋊#401C2211yescharacteristic, complemented
179#10622272C2211yescharacteristic, complemented
180#10622272C2211yescharacteristic, complemented
181#10622272C2211yescharacteristic, complemented
182#10622271C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622266C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C2×#4343—24no—
195C2×#4343—42no—
196C2×#4343—42no—
197C22×D44C2311yescharacteristic
198C22×D44C2311yescharacteristic
199C22×D44C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×C4×D11—42no—
207C22×C4×D11—42no—
208C22×C4×D11—42no—
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×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×Dic22C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243#66983—42no—
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305#66951—42no—
306#66949—42no—
307#66948—42no—
308#66948—42no—
309#66948—42no—
310#66948—42no—
311#66947—24no—
312#66947—42no—
313#66947—42no—
314#66947—42no—
315#66946—42no—
316C4⋊C4×D11—42no—
317C4⋊C4×D11—42no—
318#66935—42no—
319#66935—42no—
320#66935—42no—
321C22⋊C4×D11—24no—
322C22⋊C4×D11—42no—
323#66928—42no—
324#66925—42no—
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#36791—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C23×D11—22no—
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11C2411yescharacteristic
379C23×D11C2411yescharacteristic
380C23×D11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C2×Q8×C11—22no—
384C2×Q8×C11—41no—
385C2×Q8×C11—41no—
386C22×C4×C11—22no—
387C22×C4×C11—41no—
388C22×C4×C11—41no—
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C2×C22⋊D11—22no—
404C2×C22⋊D11—22no—
405C2×C22⋊D11—22no—
406C2×C22⋊D11—41no—
407C2×C22⋊D11—41no—
408C2×C22⋊D11—41no—
409C2×C22⋊D11—41no—
410C2×C22⋊D11—41no—
411C2×C22⋊D11—41no—
412C22×Dic11—41no—
413C22×Dic11—41no—
414C22×Dic11—41no—
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426#4343—416no—
427C2×D44—22no—
428C2×D44—22no—
429C2×D44—22no—
430C2×D44—22no—
431C2×D44—22no—
432C2×D44—22no—
433C2×D44—22no—
434C2×D44—22no—
435C2×D44—22no—
436C2×D44—22no—
437C2×D44—22no—
438C2×D44—22no—
439C2×D44—22no—
440C2×D44—22no—
441C2×D44—41no—
442C2×D44—41no—
443C2×D44—41no—
444C2×D44—41no—
445C2×D44—41no—
446C2×D44—41no—
447C2×D44—41no—
448C2×D44—41no—
449C2×D44—41no—
450C2×D44—41no—
451C2×D44—41no—
452C2×D44—41no—
453C2×D44—41no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—416no—
487C2×C4×D11#4114yes—
488C2×Dic22—41no—
489C2×Dic22—41no—
490C2×Dic22—41no—
491C11×C4⋊C4—22no—
492C11×C4⋊C4—22no—
493C11×C4⋊C4—22no—
494C11×C4⋊C4—41no—
495C11×C4⋊C4—41no—
496C11×C4⋊C4—41no—
497C11×C4⋊C4—41no—
498C11×C4⋊C4—41no—
499C11×C4⋊C4—41no—
500C11×C4⋊C4—41no—
501C11×C4⋊C4—41no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C42×C11—41no—
509C42×C11—41no—
510C22⋊Dic11—22no—
511C22⋊Dic11—41no—
512C22⋊Dic11—41no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊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—
554C4⋊Dic11—22no—
555C4⋊Dic11—41no—
556C4⋊Dic11—41no—
557C4⋊Dic11—41no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—41no—
561Dic11⋊C4—41no—
562Dic11⋊C4—41no—
563Dic11⋊C4—41no—
564Dic11⋊C4—41no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569Dic11⋊C4—41no—
570Dic11⋊C4—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574#2849—111no—
575#2847—111no—
576#2804—111no—
577#2797—111no—
578#2788D1111yescharacteristic, complemented
579#2784—111no—
580#2780—111no—
581#2778—111no—
582#2751—111no—
583#2750—111no—
584#2745—111no—
585#2714—111no—
586#2710—111no—
587#2708—111no—
588#2708—111no—
589#2695—111no—
590#2686—111no—
591#2682—111no—
592#2643—111no—
593#2639—111no—
594#2481—111no—
595#2472—111no—
596#2443—111no—
597#2438—111no—
598#2430—111no—
599#2424—111no—
600#2411—111no—
601#2404—111no—
602#2322—111no—
603#2311—111no—
604C2×#385—111no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C112−1+412yes—
612C23×C11C2511yescharacteristic
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—28no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
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—44no—
646C22×D11—44no—
647C22×D11—44no—
648C22×D11—44no—
649C22×D11—44no—
650C22×D11—44no—
651C22×D11C2×#4112yes—
652C22×D11H(5,𝔽2)12yes—
653C22×D11H(5,𝔽2)12yes—
654C22×D11H(5,𝔽2)12yes—
655Q8×C11—44no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—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—44no—
697C2×C4×C11C2×#4112yes—
698C2×C4×C11H(5,𝔽2)12yes—
699C22⋊D11—82no—
700C22⋊D11—82no—
701C22⋊D11—82no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—44no—
735C2×Dic11C2×#4112yes—
736D44—44no—
737D44—44no—
738D44—44no—
739D44—44no—
740D44—82no—
741D44—82no—
742D44—82no—
743D44—82no—
744D44—82no—
745C4×D11—28no—
746C4×D11—44no—
747C4×D11—44no—
748C4×D11—44no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—44no—
752C4×D11—44no—
753C4×D11—82no—
754C4×D11—82no—
755C4×D11—82no—
756Dic22—82no—
757C22×#41—111no—
758C24×C4—111no—
759C2×#126—111no—
760C2×#124—111no—
761C2×#123—111no—
762C2×#123—111no—
763C2×#123—111no—
764C2×#123—111no—
765C2×C22⋊Q8—111no—
766C2×#121—111no—
767C2×#121—111no—
768C2×#121—111no—
769C2×#121—111no—
770C2×#121—111no—
771C2×#120—111no—
772C2×#120—111no—
773C2×#120—111no—
774C2×C4×D4—111no—
775C2×#117—111no—
776C22×C4⋊C4—111no—
777C22×C4⋊C4—111no—
778C22×C22⋊C4—111no—
779C22×C22⋊C4—111no—
780#401—111no—
781#400—111no—
782#400—111no—
783#400—111no—
784#400—111no—
785#400—111no—
786#400—111no—
787#400C2×D1111yescharacteristic, complemented
788#400C2×D1111yescharacteristic, complemented
789#399—111no—
790#398—111no—
791#398—111no—
792#398C2×D1111yescharacteristic, complemented
793#397—111no—
794#397—111no—
795#397—111no—
796#397—111no—
797#397—111no—
798#397—111no—
799#397—111no—
800#397—111no—
801#396—111no—
802#396—111no—
803#396—111no—
804#396—111no—
805#396C2×D1111yescharacteristic
806#395—111no—
807#395C2×D1111yescharacteristic, complemented
808#394—111no—
809#394—111no—
810#394—111no—
811#394—111no—
812#394—111no—
813#394—111no—
814#394—111no—
815#394—111no—
816#394—111no—
817#394—111no—
818#393—111no—
819#393—111no—
820#393—111no—
821#393—111no—
822#393—111no—
823#393C2×D1111yescharacteristic
824#392—111no—
825#392—111no—
826#392—111no—
827#392—111no—
828#391—111no—
829#391—111no—
830#391C2×D1111yescharacteristic, complemented
831#390—111no—
832#390—111no—
833#390—111no—
834#390—111no—
835#390—111no—
836#390—111no—
837#389—111no—
838#389C2×D1111yescharacteristic, complemented
839#389C2×D1111yescharacteristic, complemented
840#388—111no—
841#388—111no—
842#388—111no—
843#388—111no—
844#388—111no—
845#388—111no—
846#388—111no—
847#388C2×D1111yescharacteristic
848#388C2×D1111yescharacteristic
849#387—111no—
850#387—111no—
851#387—111no—
852#387—111no—
853#387—111no—
854#387—111no—
855#387C2×D1111yescharacteristic, complemented
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386—111no—
863#386—111no—
864#386—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386—111no—
878#386—111no—
879#385—111no—
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385—111no—
886#385—111no—
887#385—111no—
888#385—111no—
889#385—111no—
890#385—111no—
891#385—111no—
892#385—111no—
893#385—111no—
894#385—111no—
895#385—111no—
896#385C2×D1111yescharacteristic
897#385C2×D1111yescharacteristic
898#381—111no—
899#381—111no—
900#381—111no—
901#380—111no—
902#380—111no—
903#380—111no—
904#380—111no—
905#380—111no—
906#380—111no—
907#380C2×D1111yescharacteristic
908#379—111no—
909C4×C22⋊C4—111no—
910C2×#95—111no—
911C2×#95—111no—
912C22×C11—22no—
913C22×C11—22no—
914C22×C11—22no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11C22×#4111yescharacteristic
920C22×C11C2×H(5,𝔽2)11yescharacteristic
921C22×C11C2×H(5,𝔽2)11yescharacteristic
922C22×C11C2×H(5,𝔽2)11yescharacteristic
923C22×C11C2×H(5,𝔽2)11yescharacteristic
924C22×C11C2×2−1+411yescharacteristic
925C22×C11#58511yescharacteristic
926C2×D11—22no—
927C2×D11—22no—
928C2×D11—22no—
929C2×D11—22no—
930C2×D11—22no—
931C2×D11—22no—
932C2×D11—22no—
933C2×D11—22no—
934C2×D11—22no—
935C2×D11—416no—
936C2×D11—41no—
937C2×D11—41no—
938C2×D11—41no—
939C2×D11—41no—
940C2×D11—41no—
941C2×D11—41no—
942C2×D11—41no—
943C2×D11—41no—
944C2×D11—41no—
945C2×D11—41no—
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#53814yes—
962C4×C11—22no—
963C4×C11—22no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976Dic11—22no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987C25—111no—
988C2×#41—224no—
989C2×#41—442no—
990C2×#41—442no—
991C22×Q8—111no—
992C22×Q8C22×D1111yescharacteristic
993C22×D4—111no—
994C22×D4—111no—
995C22×D4—111no—
996C22×D4—111no—
997C22×D4—111no—
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—111no—
1002C22×D4—111no—
1003C22×D4—111no—
1004C22×D4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—111no—
1016C23×C4—111no—
1017C23×C4—442no—
1018C23×C4—442no—
1019C23×C4—442no—
1020C23×C4C22×D1111yescharacteristic
1021#126—442no—
1022#124—442no—
1023#123—224no—
1024#123—442no—
1025#123—442no—
1026#123—442no—
1027C22⋊Q8—442no—
1028#121—442no—
1029#121—442no—
1030#121—442no—
1031#121—442no—
1032#121—442no—
1033#120—442no—
1034#120—442no—
1035#120—442no—
1036C4×D4—442no—
1037#117—442no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—442no—
1056C2×C4⋊C4—442no—
1057C2×C4⋊C4C22×D1111yescharacteristic
1058C2×C4⋊C4C22×D1111yescharacteristic
1059C2×C4⋊C4C22×D1111yescharacteristic
1060C2×C4⋊C4C22×D1111yescharacteristic
1061C2×C4⋊C4C22×D1111yescharacteristic
1062C2×C4⋊C4C22×D1111yescharacteristic
1063C2×C4⋊C4C22×D1111yescharacteristic
1064C2×C4⋊C4C22×D1111yescharacteristic
1065C2×C4⋊C4C22×D1111yescharacteristic
1066C2×C4⋊C4C22×D1111yescharacteristic
1067C2×C4⋊C4C22×D1111yescharacteristic
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—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—224no—
1113C2×C22⋊C4—442no—
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4C22×D1111yescharacteristic
1117C2×C22⋊C4C22×D1111yescharacteristic
1118C2×C22⋊C4C22×D1111yescharacteristic
1119C2×C22⋊C4C22×D1111yescharacteristic
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42C22×D1111yescharacteristic
1124C2×C42C22×D1111yescharacteristic
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95C22×D1111yescharacteristic
1156#95C22×D1111yescharacteristic
1157#95C22×D1111yescharacteristic
1158#95C22×D1111yescharacteristic
1159#95C22×D1111yescharacteristic
1160#95C22×D1111yescharacteristic
1161#95C22×D1111yescharacteristic
1162#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167#95C22×D1111yescharacteristic
1168#95C22×D1111yescharacteristic
1169C2×C11—42no—
1170C2×C11C2×#53811yescharacteristic
1171C2×C11#349211yescharacteristic
1172C2×C11#350611yescharacteristic
1173C2×C11#353211yescharacteristic
1174C2×C11#353411yescharacteristic
1175C2×C11#353511yescharacteristic
1176C2×C11#353611yescharacteristic
1177D11—24no—
1178D11—42no—
1179D11—81no—
1180D11—81no—
1181D11—81no—
1182C24—111no—
1183C24—111no—
1184C24—111no—
1185C24—111no—
1186C24—111no—
1187C24—222no—
1188C24—222no—
1189C24—222no—
1190C24—222no—
1191C24—222no—
1192C24—441no—
1193C24—441no—
1194C24C23×D1111yescharacteristic
1195#41—4416no—
1196C2×Q8—22no—
1197C2×Q8—41no—
1198C2×Q8—41no—
1199C2×Q8—441no—
1200C2×Q8—441no—
1201C2×Q8—441no—
1202C2×D4—222no—
1203C2×D4—222no—
1204C2×D4—222no—
1205C2×D4—222no—
1206C2×D4—222no—
1207C2×D4—222no—
1208C2×D4—222no—
1209C2×D4—222no—
1210C2×D4—222no—
1211C2×D4—222no—
1212C2×D4—222no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—222no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—441no—
1220C2×D4—441no—
1221C2×D4—441no—
1222C2×D4—441no—
1223C2×D4—441no—
1224C2×D4—441no—
1225C2×D4—441no—
1226C2×D4—441no—
1227C2×D4—441no—
1228C2×D4—441no—
1229C2×D4—441no—
1230C2×D4—441no—
1231C2×D4—441no—
1232C2×D4—441no—
1233C2×D4—441no—
1234C2×D4—441no—
1235C2×D4—441no—
1236C2×D4—441no—
1237C2×D4—441no—
1238C22×C4—22no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—111no—
1242C22×C4—114no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—111no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—222no—
1254C22×C4—222no—
1255C22×C4—222no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—441no—
1267C22×C4—441no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—4416no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4C23×D1111yescharacteristic
1290C22×C4C23×D1111yescharacteristic
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—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—441no—
1318C4⋊C4—441no—
1319C4⋊C4—441no—
1320C4⋊C4—441no—
1321C4⋊C4—441no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C4⋊C4—441no—
1329C4⋊C4—441no—
1330C4⋊C4—441no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—222no—
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—441no—
1352C22⋊C4—441no—
1353C22⋊C4—441no—
1354C22⋊C4—441no—
1355C22⋊C4—441no—
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—
1381C42—41no—
1382C42—41no—
1383C42—441no—
1384C42—441no—
1385C42—441no—
1386C11#3679111yescharacteristic, complemented, Sylow
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—112no—
1394C23—112no—
1395C23—112no—
1396C23—112no—
1397C23—228no—
1398C23—221no—
1399C23—221no—
1400C23—221no—
1401C23—221no—
1402C23—221no—
1403C23—221no—
1404C23—221no—
1405C23—221no—
1406C23—221no—
1407C23—221no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—444no—
1430C23—444no—
1431C23—444no—
1432C23—444no—
1433C23—444no—
1434C23—444no—
1435C23#6704012yes—
1436C23C24×D1111yescharacteristic
1437Q8—44no—
1438Q8—882no—
1439D4—444no—
1440D4—444no—
1441D4—444no—
1442D4—444no—
1443D4—882no—
1444D4—882no—
1445D4—882no—
1446D4—882no—
1447D4—882no—
1448D4—882no—
1449D4—882no—
1450D4—882no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—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—44no—
1492C2×C4—112no—
1493C2×C4—228no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—444no—
1527C2×C4—444no—
1528C2×C4—444no—
1529C2×C4—444no—
1530C2×C4—444no—
1531C2×C4—444no—
1532C2×C4—444no—
1533C2×C4—444no—
1534C2×C4—882no—
1535C2×C4—882no—
1536C2×C4—882no—
1537C2×C4#41×D1112yes—
1538C2×C4#6704212yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—114no—
1547C22—222no—
1548C22—222no—
1549C22—222no—
1550C22—222no—
1551C22—222no—
1552C22—222no—
1553C22—222no—
1554C22—222no—
1555C22—222no—
1556C22—4416no—
1557C22—441no—
1558C22—441no—
1559C22—441no—
1560C22—441no—
1561C22—441no—
1562C22—441no—
1563C22—441no—
1564C22—441no—
1565C22—441no—
1566C22—441no—
1567C22—441no—
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—
1582C22C2×#6704011yescharacteristic
1583C22C2×#41×D1111yescharacteristic
1584C22C2×#6704211yescharacteristic
1585C22D11×H(5,𝔽2)11yescharacteristic
1586C22D11×H(5,𝔽2)11yescharacteristic
1587C22D11×H(5,𝔽2)11yescharacteristic
1588C22#1062345711yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—222no—
1604C4—441no—
1605C4—441no—
1606C4—441no—
1607C4—441no—
1608C4—441no—
1609C4—441no—
1610C4—441no—
1611C4—441no—
1612C4—441no—
1613C4—441no—
1614C2—42no—
1615C2—224no—
1616C2—442no—
1617C2—881no—
1618C2—881no—
1619C2—881no—
1620C2D11×#53811yescharacteristic
1621C2#1308232411yescharacteristic
1622C2#1308246911yescharacteristic
1623C2#1308276711yescharacteristic
1624C2#1308280811yescharacteristic
1625C2#1308282611yescharacteristic
1626C2#1308284411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2788C2
hypercenter#2788D11
hypocenterC11#36791
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2788

Complements

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

NH ≅ G/Ntype
1. #13076911C2semidirect
2. #13076899C2semidirect
3. #13076557C2semidirect
4. #13076471C2semidirect
5. #13076313C2semidirect
6. #13076271C2semidirect
7. #13076229C2semidirect
8. #13075870C2semidirect
9. #13075859C2semidirect
10. #13075784C2semidirect
11. #13075413C2semidirect
12. #13075359C2semidirect
13. #13075339C2semidirect
14. #13075337C2semidirect
15. #13075157C2semidirect
16. #13075025C2semidirect
17. #13074978C2semidirect
18. #13074570C2semidirect
19. #13074548C2semidirect
20. #13072875C2semidirect
21. #13072746C2semidirect
22. #13072352C2semidirect
23. #13072299C2semidirect
24. #13072227C2semidirect
25. #13072147C2semidirect
26. #13072000C2semidirect
27. #13071936C2semidirect
28. #13071280C2semidirect
29. #13071207C2semidirect
30. D11×#385C2semidirect
31. C11×#2788C2semidirect
35. C2×#66951C22semidirect
44. C2×#66947C22semidirect
55. C11×#400C22semidirect
56. C11×#400C22semidirect
57. C11×#398C22semidirect
59. C11×#395C22semidirect
61. C11×#391C22semidirect
62. C11×#389C22semidirect
63. C11×#389C22semidirect
66. C11×#387C22semidirect
71. #10622844C22semidirect
72. #10622843C22semidirect
75. #10622607C22semidirect
76. #10622607C22semidirect
77. #10622606C22semidirect
78. #10622605C22semidirect
81. #10622604C22semidirect
82. #10622604C22semidirect
83. #10622604C22semidirect
86. #10622603C22semidirect
92. #10622602C22semidirect
93. #10622602C22semidirect
94. #10622602C22semidirect
95. #10622601C22semidirect
98. #10622596C22semidirect
99. #10622595C22semidirect
100. #10622595C22semidirect
101. #10622594C22semidirect
102. #10622593C22semidirect
103. #10622592C22semidirect
104. #10622591C22semidirect
105. #10622585C22semidirect
125. #10622553C22semidirect
126. #10622553C22semidirect
128. #10622552C22semidirect
130. #10622546C22semidirect
133. #10622288C22semidirect
134. #10622288C22semidirect
135. #10622288C22semidirect
136. #10622288C22semidirect
137. #10622288C22semidirect
138. #10622287C22semidirect
139. #10622286C22semidirect
140. #10622286C22semidirect
143. #10622285C22semidirect
145. #10622284C22semidirect
146. #10622283C22semidirect
151. #10622281C22semidirect
152. #10622281C22semidirect
153. #10622280C22semidirect
154. #10622280C22semidirect
155. #10622280C22semidirect
156. #10622280C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
178. C11⋊#401C22semidirect
179. #10622272C22semidirect
180. #10622272C22semidirect
181. #10622272C22semidirect
182. #10622271C22semidirect
183. #10622267C22semidirect
184. #10622266C22semidirect
185. #10622265C22semidirect
186. #10622259C22semidirect
578. #2788D11semidirect
787. #400C2×D11semidirect
788. #400C2×D11semidirect
792. #398C2×D11semidirect
807. #395C2×D11semidirect
830. #391C2×D11semidirect
838. #389C2×D11semidirect
839. #389C2×D11semidirect
855. #387C2×D11semidirect
1386. C11#36791semidirect

Maximal subgroups

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

subgroupindex
#130769112
#130768992
#130765572
#130764712
#130763132
#130762712
#130762292
#130758702
#130758592
#130757842
#130754132
#130753592
#130753392
#130753372
#130751572
#130750252
#130749782
#130745702
#130745482
#130728752
#130727462
#130723522
#130722992
#130722272
#130721472
#130720002
#130719362
#130712802
#130712072
D11×#3852
C11×#27882
#3679111