Finite Group Databasebeta

← #14960655

Subgroups — #14960655

Order 2816.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623264C211yesmaximal, characteristic, complemented
2C2×#10623158C211yesmaximal, characteristic, complemented
3#13076911C211yesmaximal, characteristic, complemented
4#13076900C211yesmaximal, characteristic, complemented
5#13075164C211yesmaximal, characteristic, complemented
6#13075157C211yesmaximal, characteristic, complemented
7#13075108C211yesmaximal, characteristic, complemented
8#13075101C211yesmaximal, characteristic, complemented
9#13075066C211yesmaximal, characteristic, complemented
10#13075025C211yesmaximal, characteristic, complemented
11#13075004C211yesmaximal, characteristic, complemented
12#13074997C211yesmaximal, characteristic, complemented
13#13074913C211yesmaximal, characteristic, complemented
14#13074892C211yesmaximal, characteristic, complemented
15#13074892C211yesmaximal, characteristic, complemented
16#13074866C211yesmaximal, characteristic, complemented
17#13074859C211yesmaximal, characteristic, complemented
18#13074836C211yesmaximal, characteristic, complemented
19#13074825C211yesmaximal, characteristic, complemented
20#13074542C211yesmaximal, characteristic, complemented
21#13074466C211yesmaximal, characteristic, complemented
22#13074295C211yesmaximal, characteristic, complemented
23#13074233C211yesmaximal, characteristic, complemented
24#13074196C211yesmaximal, characteristic, complemented
25#13074180C211yesmaximal, characteristic, complemented
26#13073971C211yesmaximal, characteristic, complemented
27#13073793C211yesmaximal, characteristic, complemented
28#13072241C211yesmaximal, characteristic, complemented
29#13072227C211yesmaximal, characteristic, complemented
30#13071248C211yesmaximal, characteristic, complemented
31C11×#2677C211yesmaximal, characteristic, complemented
32C22×#4343C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×C4⋊Q8C2211yescharacteristic, complemented
35C2×C11×C4⋊Q8C2211yescharacteristic, complemented
36C2×C11×C22⋊Q8C2211yescharacteristic
37C2×C11×C22⋊Q8C2211yescharacteristic
38C2×#67000C2211yescharacteristic
39C2×#67000C2211yescharacteristic
40C2×#67000C2211yescharacteristic, complemented
41C2×#66999C2211yescharacteristic
42C2×#66999C2211yescharacteristic
43C2×#66999C2211yescharacteristic
44C2×#66999C2211yescharacteristic, complemented
45C2×#66983C2211yescharacteristic
46#10623264—28no—
47#10623158—28no—
48C2×#66951C2211yescharacteristic
49C2×#66951C2211yescharacteristic, complemented
50C2×#66950C2211yescharacteristic, complemented
51C2×#66948C2211yescharacteristic
52C2×#66948C2211yescharacteristic
53C2×#66948C2211yescharacteristic
54C2×#66948C2211yescharacteristic, complemented
55C2×#66947C2211yescharacteristic
56C2×#66947C2211yescharacteristic
57C2×#66947C2211yescharacteristic
58C2×#66947C2211yescharacteristic
59C2×#66947C2211yescharacteristic, complemented
60C2×#66946C2211yescharacteristic
61C2×#66946C2211yescharacteristic
62C2×#66945C2211yescharacteristic
63C2×#66940C2211yescharacteristic, complemented
64C2×#66935C2211yescharacteristic
65C2×#66935C2211yescharacteristic
66C2×#66935C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×#66928C2211yescharacteristic
70C2×#66925C2211yescharacteristic, complemented
71C11×#399C2211yescharacteristic
72C11×#398C2211yescharacteristic, complemented
73C11×#398C2211yescharacteristic, complemented
74C11×#395C2211yescharacteristic, complemented
75C11×#395C2211yescharacteristic, complemented
76C11×#393C2211yescharacteristic
77C11×#388C2211yescharacteristic
78C11×#388C2211yescharacteristic
79C11×#387C2211yescharacteristic, complemented
80C11×#387C2211yescharacteristic, complemented
81C11×#385C2211yescharacteristic
82#10622844C2211yescharacteristic, complemented
83#10622844C2211yescharacteristic, complemented
84#10622843C2211yescharacteristic, complemented
85#10622842C2211yescharacteristic, complemented
86#10622826C2211yescharacteristic
87#10622825C2211yescharacteristic
88#10622607C2211yescharacteristic, complemented
89#10622607C2211yescharacteristic, complemented
90#10622607C2211yescharacteristic, complemented
91#10622606C2211yescharacteristic
92#10622606C2211yescharacteristic
93#10622606C2211yescharacteristic
94#10622605C2211yescharacteristic, complemented
95#10622605C2211yescharacteristic, complemented
96#10622604C2211yescharacteristic
97#10622604C2211yescharacteristic
98#10622604C2211yescharacteristic
99#10622604C2211yescharacteristic
100#10622604C2211yescharacteristic, complemented
101#10622604C2211yescharacteristic, complemented
102#10622604C2211yescharacteristic, complemented
103#10622602C2211yescharacteristic
104#10622602C2211yescharacteristic
105#10622602C2211yescharacteristic
106#10622602C2211yescharacteristic
107#10622602C2211yescharacteristic
108#10622602C2211yescharacteristic
109#10622602C2211yescharacteristic, complemented
110#10622602C2211yescharacteristic, complemented
111#10622602C2211yescharacteristic, complemented
112#10622602C2211yescharacteristic, complemented
113#10622602C2211yescharacteristic, complemented
114#10622600C2211yescharacteristic
115#10622600C2211yescharacteristic
116#10622596C2211yescharacteristic, complemented
117#10622594C2211yescharacteristic, complemented
118#10622594C2211yescharacteristic, complemented
119#10622594C2211yescharacteristic, complemented
120#10622592C2211yescharacteristic, complemented
121#10622585C2211yescharacteristic, complemented
122#10622585C2211yescharacteristic, complemented
123#10622585C2211yescharacteristic, complemented
124#10622573C2211yescharacteristic
125#10622573C2211yescharacteristic
126#10622572C2211yescharacteristic
127#10622572C2211yescharacteristic
128#10622571C2211yescharacteristic
129#10622570C2211yescharacteristic
130#10622570C2211yescharacteristic
131#10622570C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622569C2211yescharacteristic
134#10622569C2211yescharacteristic
135#10622568C2211yescharacteristic
136#10622568C2211yescharacteristic
137#10622568C2211yescharacteristic
138#10622562C2211yescharacteristic
139#10622560C2211yescharacteristic
140#10622559C2211yescharacteristic
141#10622559C2211yescharacteristic
142#10622559C2211yescharacteristic
143#10622553C2211yescharacteristic
144#10622553C2211yescharacteristic
145#10622553C2211yescharacteristic, complemented
146#10622553C2211yescharacteristic, complemented
147#10622552C2211yescharacteristic
148C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
149#10622289C2211yescharacteristic
150#10622288C2211yescharacteristic
151#10622288C2211yescharacteristic, complemented
152#10622287C2211yescharacteristic, complemented
153#10622286C2211yescharacteristic
154#10622286C2211yescharacteristic, complemented
155#10622285C2211yescharacteristic
156#10622285C2211yescharacteristic
157#10622285C2211yescharacteristic
158#10622285C2211yescharacteristic
159#10622285C2211yescharacteristic, complemented
160#10622284C2211yescharacteristic
161#10622284C2211yescharacteristic
162#10622282C2211yescharacteristic
163#10622282C2211yescharacteristic
164#10622282C2211yescharacteristic
165#10622282C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622280C2211yescharacteristic, complemented
168#10622280C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622277C2211yescharacteristic
179#10622277C2211yescharacteristic
180D11×#95C2211yescharacteristic, complemented
181#10622272C2211yescharacteristic, complemented
182#10622271C2211yescharacteristic, complemented
183#10622270C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187#10622264C2211yescharacteristic, complemented
188#10622263C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×Q8×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
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×C4×D11—24no—
211C22×C4×D11—42no—
212C22×C4×D11—42no—
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×Dic22C2311yescharacteristic
223C11×C4⋊Q8—24no—
224C11×C4⋊Q8—42no—
225C11×C22⋊Q8—24no—
226C11×C22⋊Q8—42no—
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×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊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×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251#67000—24no—
252#67000—24no—
253#67000—42no—
254#66999—24no—
255#66999—24no—
256#66999—24no—
257#66999—42no—
258#66983—24no—
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×(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×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326#66951—24no—
327#66951—24no—
328#66950—24no—
329#66948—24no—
330#66948—24no—
331#66948—42no—
332#66948—42no—
333#66947—24no—
334#66947—24no—
335#66947—24no—
336#66947—24no—
337#66947—42no—
338#66946—24no—
339#66946D418yescomplemented
340#66945—24no—
341#66940—24no—
342#66935—24no—
343#66935—24no—
344#66935—42no—
345(C22⋊D11)⋊C4—24no—
346(C22⋊D11)⋊C4—24no—
347#66928—24no—
348#66925—24no—
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#36712—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C23×D11—22no—
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—41no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11C2411yescharacteristic
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C2×Q8×C11—22no—
400C2×Q8×C11—22no—
401C2×Q8×C11—22no—
402C2×Q8×C11—22no—
403C2×Q8×C11—41no—
404C2×Q8×C11—41no—
405C2×Q8×C11—41no—
406C2×Q8×C11—41no—
407C2×Q8×C11—41no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—41no—
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
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
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C22×Dic11—22no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448#4343—416no—
449C2×D44—22no—
450C2×D44—22no—
451C2×D44—22no—
452C2×D44—22no—
453C2×D44—22no—
454C2×D44—22no—
455C2×D44—22no—
456C2×D44—22no—
457C2×D44—22no—
458C2×D44—22no—
459C2×D44—41no—
460C2×D44—41no—
461C2×D44—41no—
462C2×D44—41no—
463C2×D44—41no—
464C2×D44—41no—
465C2×D44—41no—
466C2×D44—41no—
467C2×D44—41no—
468C2×D44—41no—
469C2×D44—41no—
470C2×D44—41no—
471C2×D44—41no—
472C2×D44—41no—
473C2×D44—41no—
474C2×D44—41no—
475C2×D44C2×D414yes—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
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—41no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—41no—
496C2×C4×D11—41no—
497C2×C4×D11—41no—
498C2×C4×D11—41no—
499C2×C4×D11—41no—
500C2×C4×D11—41no—
501C2×C4×D11—416no—
502C2×C4×D11C2×D414yes—
503C2×C4×D11C2×D414yes—
504C2×Dic22—22no—
505C2×Dic22—41no—
506C2×Dic22—41no—
507C11×C4⋊C4—22no—
508C11×C4⋊C4—22no—
509C11×C4⋊C4—22no—
510C11×C4⋊C4—22no—
511C11×C4⋊C4—22no—
512C11×C4⋊C4—22no—
513C11×C4⋊C4—22no—
514C11×C4⋊C4—22no—
515C11×C4⋊C4—41no—
516C11×C4⋊C4—41no—
517C11×C4⋊C4—41no—
518C11×C4⋊C4—41no—
519C11×C4⋊C4C2×D414yes—
520C11×C22⋊C4—22no—
521C11×C22⋊C4—22no—
522C11×C22⋊C4—22no—
523C11×C22⋊C4—41no—
524C11×C22⋊C4—41no—
525C11×C22⋊C4—41no—
526C42×C11—22no—
527C42×C11—41no—
528C22⋊Dic11—41no—
529C22⋊Dic11—41no—
530C22⋊Dic11—41no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—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—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
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—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4—41no—
566(C2×D11)⋊C4—41no—
567(C2×D11)⋊C4—41no—
568(C2×D11)⋊C4—41no—
569(C2×D11)⋊C4—41no—
570(C2×D11)⋊C4—41no—
571(C2×D11)⋊C4—41no—
572(C2×D11)⋊C4C2×D414yes—
573(C2×D11)⋊C4C2×D414yes—
574C4⋊Dic11—22no—
575C4⋊Dic11—22no—
576C4⋊Dic11—22no—
577C4⋊Dic11—41no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—41no—
585Dic11⋊C4—41no—
586Dic11⋊C4—41no—
587Dic11⋊C4—41no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590Dic11⋊C4—41no—
591Dic11⋊C4—41no—
592Dic11⋊C4—41no—
593C4×Dic11—22no—
594C4×Dic11—22no—
595C4×Dic11—22no—
596C4×Dic11—41no—
597C4×Dic11C2×D414yes—
598C2×#542—111no—
599C2×#525—111no—
600#2849—111no—
601#2848—111no—
602#2696—111no—
603#2695—111no—
604#2692—111no—
605#2691—111no—
606#2689—111no—
607#2686—111no—
608#2685—111no—
609#2684—111no—
610#2677D1111yescharacteristic, complemented
611#2676—111no—
612#2674—111no—
613#2674—111no—
614#2672—111no—
615#2671—111no—
616#2670—111no—
617#2668—111no—
618#2638—111no—
619#2630—111no—
620#2609—111no—
621#2602—111no—
622#2599—111no—
623#2598—111no—
624#2580—111no—
625#2564—111no—
626#2432—111no—
627#2430—111no—
628#2318—111no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C112−1+412yes—
636C23×C11C2511yescharacteristic
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—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—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—44no—
670C22×D11—44no—
671C22×D11—44no—
672C22×D11—44no—
673C22×D11—44no—
674C22×D11—44no—
675C22×D11—44no—
676C22×D11C22×D412yes—
677C22×D11C22×D412yes—
678C22×D11H(5,𝔽2)12yes—
679Q8×C11—44no—
680Q8×C11—82no—
681Q8×C11—82no—
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—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—44no—
721C2×C4×C11C22×D412yes—
722C2×C4×C11C22×D412yes—
723C2×C4×C11C22×D412yes—
724C2×C4×C11H(5,𝔽2)12yes—
725C22⋊D11—44no—
726C22⋊D11—44no—
727C22⋊D11—82no—
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—
762D44—44no—
763D44—44no—
764D44—44no—
765D44—44no—
766D44—44no—
767D44—82no—
768D44—82no—
769D44—82no—
770D44—82no—
771C4×D11—28no—
772C4×D11—44no—
773C4×D11—44no—
774C4×D11—44no—
775C4×D11—44no—
776C4×D11—44no—
777C4×D11—44no—
778C4×D11—82no—
779C4×D11—82no—
780Dic22—44no—
781C22×#41—111no—
782C24×C4—111no—
783#542—228no—
784C2×C4⋊Q8C2×D1111yescharacteristic, complemented
785C2×C4⋊Q8C2×D1111yescharacteristic, complemented
786C2×#126—111no—
787C2×#126—111no—
788C2×#124—111no—
789C2×#124—111no—
790C2×#124—111no—
791C2×#124—111no—
792#525—228no—
793C2×#123—111no—
794C2×#123—111no—
795C2×#123—111no—
796C2×#123—111no—
797C2×#123—111no—
798C2×C22⋊Q8—111no—
799C2×C22⋊Q8—111no—
800C2×C22⋊Q8—111no—
801C2×C22⋊Q8—111no—
802C2×C22⋊Q8—111no—
803C2×C22⋊Q8C2×D1111yescharacteristic
804C2×C22⋊Q8C2×D1111yescharacteristic
805C2×#121—111no—
806C2×#121—111no—
807C2×#121—111no—
808C2×#121—111no—
809C2×#121—111no—
810C2×#120—111no—
811C2×#120—111no—
812C2×#120—111no—
813C2×C4×Q8—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×C4×D4—111no—
817C2×C4×D4—111no—
818C2×#117—111no—
819C2×#117—111no—
820#400—111no—
821#400—111no—
822#399—111no—
823#399—111no—
824#399—111no—
825#399C2×D1111yescharacteristic
826#398—111no—
827#398—111no—
828#398C2×D1111yescharacteristic, complemented
829#398C2×D1111yescharacteristic, complemented
830#397—111no—
831#397—111no—
832#397—111no—
833#397—111no—
834#397—111no—
835#397—111no—
836#396—111no—
837#396—111no—
838#396—111no—
839#396—111no—
840#395—111no—
841#395—111no—
842#395C2×D1111yescharacteristic, complemented
843#395C2×D1111yescharacteristic, complemented
844#394—111no—
845#394—111no—
846#394—111no—
847#394—111no—
848#394—111no—
849#394—111no—
850#394—111no—
851#394—111no—
852#394—111no—
853#394—111no—
854#394—111no—
855#394—111no—
856#394—111no—
857#394—111no—
858#393—111no—
859#393—111no—
860#393—111no—
861#393—111no—
862#393—111no—
863#393C2×D1111yescharacteristic
864#392—111no—
865#392—111no—
866#392—111no—
867#392—111no—
868#391—111no—
869#390—111no—
870#390—111no—
871#390—111no—
872#390—111no—
873#389—111no—
874#389—111no—
875#389—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388C2×D1111yescharacteristic
885#388C2×D1111yescharacteristic
886#387—111no—
887#387—111no—
888#387—111no—
889#387—111no—
890#387—111no—
891#387—111no—
892#387C2×D1111yescharacteristic, complemented
893#387C2×D1111yescharacteristic, complemented
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
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#385C2×D1111yescharacteristic
924#383—111no—
925#382—111no—
926#381—111no—
927#381—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#380—111no—
932#380—111no—
933#379—111no—
934#379—111no—
935#379—111no—
936C4×C22⋊C4—111no—
937C2×#95—111no—
938C22×C11—22no—
939C22×C11—22no—
940C22×C11—22no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11C23×D411yescharacteristic
946C22×C11C2×H(5,𝔽2)11yescharacteristic
947C22×C11C2×H(5,𝔽2)11yescharacteristic
948C22×C11C2×2−1+411yescharacteristic
949C22×C11#58511yescharacteristic
950C22×C11#58511yescharacteristic
951C22×C11#58511yescharacteristic
952C2×D11—22no—
953C2×D11—22no—
954C2×D11—22no—
955C2×D11—22no—
956C2×D11—22no—
957C2×D11—22no—
958C2×D11—22no—
959C2×D11—22no—
960C2×D11—22no—
961C2×D11—416no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
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—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—41no—
983C2×D11—41no—
984C2×D11—41no—
985C2×D11—41no—
986C2×D11—41no—
987C2×D11—41no—
988C4×C11—22no—
989C4×C11—22no—
990C4×C11—22no—
991C4×C11—22no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996C4×C11—41no—
997C4×C11—41no—
998C4×C11—41no—
999C4×C11—41no—
1000C4×C11—41no—
1001C4×C11—41no—
1002Dic11—22no—
1003Dic11—22no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009Dic11—41no—
1010Dic11—41no—
1011Dic11—41no—
1012Dic11—41no—
1013C25—111no—
1014C2×#41—224no—
1015C2×#41—442no—
1016C2×#41—442no—
1017C22×Q8—111no—
1018C22×Q8C22×D1111yescharacteristic
1019C22×Q8C22×D1111yescharacteristic
1020C22×Q8C22×D1111yescharacteristic
1021C22×D4—111no—
1022C22×D4—111no—
1023C22×D4—111no—
1024C22×D4—111no—
1025C22×D4—111no—
1026C22×D4—111no—
1027C22×D4—111no—
1028C22×D4—111no—
1029C22×D4—111no—
1030C22×D4—111no—
1031C22×D4—111no—
1032C22×D4—111no—
1033C23×C4—111no—
1034C23×C4—111no—
1035C23×C4—111no—
1036C23×C4—111no—
1037C23×C4—111no—
1038C23×C4—111no—
1039C23×C4—111no—
1040C23×C4—111no—
1041C23×C4—111no—
1042C23×C4—111no—
1043C23×C4—224no—
1044C23×C4—442no—
1045C23×C4—442no—
1046C23×C4C22×D1111yescharacteristic
1047C4⋊Q8—24no—
1048C4⋊Q8—42no—
1049#126—224no—
1050#126—224no—
1051#124—224no—
1052#124—224no—
1053#124—224no—
1054#124—442no—
1055#123—224no—
1056#123—224no—
1057#123—224no—
1058#123—224no—
1059#123—442no—
1060C22⋊Q8—24no—
1061C22⋊Q8—42no—
1062C22⋊Q8—224no—
1063C22⋊Q8—224no—
1064C22⋊Q8—224no—
1065C22⋊Q8—224no—
1066C22⋊Q8—442no—
1067#121—224no—
1068#121—224no—
1069#121—224no—
1070#121—442no—
1071#121—442no—
1072#120—224no—
1073#120—224no—
1074#120—442no—
1075C4×Q8—224no—
1076C4×D4—118no—
1077C4×D4—224no—
1078C4×D4—224no—
1079C4×D4—224no—
1080#117—224no—
1081#117—224no—
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⋊C4C22×D1111yescharacteristic
1102C2×C4⋊C4C22×D1111yescharacteristic
1103C2×C4⋊C4C22×D1111yescharacteristic
1104C2×C4⋊C4C22×D1111yescharacteristic
1105C2×C4⋊C4C22×D1111yescharacteristic
1106C2×C4⋊C4C22×D1111yescharacteristic
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×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—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—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
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×C42—111no—
1167C2×C42—111no—
1168C2×C42—111no—
1169C2×C42—111no—
1170C2×C42—111no—
1171C2×C42C22×D1111yescharacteristic
1172C2×C42C22×D1111yescharacteristic
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
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#95C22×D1111yescharacteristic
1200#95C22×D1111yescharacteristic
1201#95C22×D1111yescharacteristic
1202#95C22×D1111yescharacteristic
1203#95C22×D1111yescharacteristic
1204#95C22×D1111yescharacteristic
1205#95C22×D1111yescharacteristic
1206#95C22×D1111yescharacteristic
1207#95C22×D1111yescharacteristic
1208#95C22×D1111yescharacteristic
1209C2×C11—42no—
1210C2×C11#344911yescharacteristic
1211C2×C11#348411yescharacteristic
1212C2×C11#348911yescharacteristic
1213C2×C11#353311yescharacteristic
1214C2×C11#353511yescharacteristic
1215C2×C11#354011yescharacteristic
1216C2×C11#354111yescharacteristic
1217D11—42no—
1218D11—42no—
1219D11—42no—
1220D11—81no—
1221D11—81no—
1222C24—111no—
1223C24—111no—
1224C24—111no—
1225C24—111no—
1226C24—111no—
1227C24—222no—
1228C24—222no—
1229C24—222no—
1230C24—441no—
1231C24—441no—
1232C24—441no—
1233C24—441no—
1234C24C23×D1111yescharacteristic
1235#41—4416no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—41no—
1241C2×Q8—41no—
1242C2×Q8—41no—
1243C2×Q8—41no—
1244C2×Q8—41no—
1245C2×Q8—222no—
1246C2×Q8—441no—
1247C2×Q8—441no—
1248C2×D4—114no—
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—222no—
1260C2×D4—222no—
1261C2×D4—222no—
1262C2×D4—222no—
1263C2×D4—222no—
1264C2×D4—441no—
1265C2×D4—441no—
1266C2×D4—441no—
1267C2×D4—441no—
1268C2×D4—441no—
1269C2×D4—441no—
1270C2×D4—441no—
1271C2×D4—441no—
1272C2×D4—441no—
1273C2×D4—441no—
1274C2×D4—441no—
1275C2×D4—441no—
1276C2×D4—441no—
1277C2×D4—441no—
1278C2×D4—441no—
1279C2×D4—441no—
1280C2×D4—441no—
1281C2×D4—441no—
1282C2×D4—441no—
1283C2×D4—441no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—41no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—114no—
1290C22×C4—114no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—111no—
1295C22×C4—111no—
1296C22×C4—111no—
1297C22×C4—111no—
1298C22×C4—111no—
1299C22×C4—111no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—222no—
1306C22×C4—222no—
1307C22×C4—222no—
1308C22×C4—222no—
1309C22×C4—222no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4—441no—
1313C22×C4—441no—
1314C22×C4—441no—
1315C22×C4—441no—
1316C22×C4—441no—
1317C22×C4—441no—
1318C22×C4—441no—
1319C22×C4—441no—
1320C22×C4—441no—
1321C22×C4—441no—
1322C22×C4—441no—
1323C22×C4—441no—
1324C22×C4—441no—
1325C22×C4—441no—
1326C22×C4—4416no—
1327C22×C4—441no—
1328C22×C4—441no—
1329C22×C4C23×D1111yescharacteristic
1330C22×C4C23×D1111yescharacteristic
1331C22×C4C23×D1111yescharacteristic
1332C22×C4C23×D1111yescharacteristic
1333C22×C4C23×D1111yescharacteristic
1334C22×C4C23×D1111yescharacteristic
1335C22×C4C23×D1111yescharacteristic
1336C22×C4C23×D1111yescharacteristic
1337C22×C4C23×D1111yescharacteristic
1338C22×C4C23×D1111yescharacteristic
1339C22×C4C23×D1111yescharacteristic
1340C22×C4C23×D1111yescharacteristic
1341C22×C4C23×D1111yescharacteristic
1342C22×C4C23×D1111yescharacteristic
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—222no—
1356C4⋊C4—222no—
1357C4⋊C4—222no—
1358C4⋊C4—222no—
1359C4⋊C4—222no—
1360C4⋊C4—222no—
1361C4⋊C4—222no—
1362C4⋊C4—222no—
1363C4⋊C4—222no—
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⋊C4D4×D1114yes—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—114no—
1382C22⋊C4—114no—
1383C22⋊C4—222no—
1384C22⋊C4—222no—
1385C22⋊C4—222no—
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—441no—
1404C22⋊C4—441no—
1405C22⋊C4—441no—
1406C22⋊C4—441no—
1407C22⋊C4—441no—
1408C22⋊C4—441no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
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—
1422C22⋊C4—441no—
1423C22⋊C4—441no—
1424C22⋊C4—441no—
1425C22⋊C4—441no—
1426C22⋊C4—441no—
1427C42—22no—
1428C42—41no—
1429C42—114no—
1430C42—222no—
1431C42—222no—
1432C42—222no—
1433C42—441no—
1434C11#3671211yescharacteristic, complemented, Sylow
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—112no—
1442C23—112no—
1443C23—112no—
1444C23—221no—
1445C23—221no—
1446C23—221no—
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—221no—
1465C23—221no—
1466C23—221no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—221no—
1471C23—221no—
1472C23—221no—
1473C23—221no—
1474C23—221no—
1475C23—221no—
1476C23—444no—
1477C23—444no—
1478C23—444no—
1479C23—444no—
1480C23—444no—
1481C23—444no—
1482C23—444no—
1483C23#6704012yes—
1484C23C24×D1111yescharacteristic
1485Q8—44no—
1486Q8—82no—
1487Q8—82no—
1488Q8—444no—
1489D4—444no—
1490D4—444no—
1491D4—444no—
1492D4—444no—
1493D4—444no—
1494D4—444no—
1495D4—444no—
1496D4—882no—
1497D4—882no—
1498D4—882no—
1499D4—882no—
1500D4—882no—
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—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—44no—
1540C2×C4—112no—
1541C2×C4—112no—
1542C2×C4—228no—
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—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—444no—
1575C2×C4—444no—
1576C2×C4—444no—
1577C2×C4—444no—
1578C2×C4—444no—
1579C2×C4—444no—
1580C2×C4—444no—
1581C2×C4—882no—
1582C2×C4—882no—
1583C2×C4C2×D4×D1112yes—
1584C2×C4C2×D4×D1112yes—
1585C2×C4C2×D4×D1112yes—
1586C2×C4#6703712yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—222no—
1595C22—222no—
1596C22—222no—
1597C22—222no—
1598C22—222no—
1599C22—222no—
1600C22—222no—
1601C22—222no—
1602C22—222no—
1603C22—4416no—
1604C22—441no—
1605C22—441no—
1606C22—441no—
1607C22—441no—
1608C22—441no—
1609C22—441no—
1610C22—441no—
1611C22—441no—
1612C22—441no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—441no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22—441no—
1622C22—441no—
1623C22—441no—
1624C22—441no—
1625C22—441no—
1626C22—441no—
1627C22—441no—
1628C22—441no—
1629C22—441no—
1630C22C22×D4×D1111yescharacteristic
1631C22C2×#6703711yescharacteristic
1632C22C2×#6704011yescharacteristic
1633C22D11×H(5,𝔽2)11yescharacteristic
1634C22#1062345711yescharacteristic
1635C22#1062345711yescharacteristic
1636C22#1062345711yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—222no—
1652C4—222no—
1653C4—441no—
1654C4—441no—
1655C4—441no—
1656C4—441no—
1657C4—441no—
1658C4—441no—
1659C4—441no—
1660C4—441no—
1661C4—441no—
1662C2—42no—
1663C2—442no—
1664C2—442no—
1665C2—442no—
1666C2—881no—
1667C2—881no—
1668C2#1308194811yescharacteristic
1669C2#1308224411yescharacteristic
1670C2#1308229311yescharacteristic
1671C2#1308279211yescharacteristic
1672C2#1308282611yescharacteristic
1673C2#1308289311yescharacteristic
1674C2#1308291411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2677C2
hypercenter#2677D11
hypocenterC11#36712
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2677

Complements

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

NH ≅ G/Ntype
1. C2×#10623264C2semidirect
2. C2×#10623158C2semidirect
3. #13076911C2semidirect
4. #13076900C2semidirect
5. #13075164C2semidirect
6. #13075157C2semidirect
7. #13075108C2semidirect
8. #13075101C2semidirect
9. #13075066C2semidirect
10. #13075025C2semidirect
11. #13075004C2semidirect
12. #13074997C2semidirect
13. #13074913C2semidirect
14. #13074892C2semidirect
15. #13074892C2semidirect
16. #13074866C2semidirect
17. #13074859C2semidirect
18. #13074836C2semidirect
19. #13074825C2semidirect
20. #13074542C2semidirect
21. #13074466C2semidirect
22. #13074295C2semidirect
23. #13074233C2semidirect
24. #13074196C2semidirect
25. #13074180C2semidirect
26. #13073971C2semidirect
27. #13073793C2semidirect
28. #13072241C2semidirect
29. #13072227C2semidirect
30. #13071248C2semidirect
31. C11×#2677C2semidirect
34. C2×C11×C4⋊Q8C22semidirect
35. C2×C11×C4⋊Q8C22semidirect
40. C2×#67000C22semidirect
44. C2×#66999C22semidirect
49. C2×#66951C22semidirect
50. C2×#66950C22semidirect
54. C2×#66948C22semidirect
59. C2×#66947C22semidirect
63. C2×#66940C22semidirect
70. C2×#66925C22semidirect
72. C11×#398C22semidirect
73. C11×#398C22semidirect
74. C11×#395C22semidirect
75. C11×#395C22semidirect
79. C11×#387C22semidirect
80. C11×#387C22semidirect
82. #10622844C22semidirect
83. #10622844C22semidirect
84. #10622843C22semidirect
85. #10622842C22semidirect
88. #10622607C22semidirect
89. #10622607C22semidirect
90. #10622607C22semidirect
94. #10622605C22semidirect
95. #10622605C22semidirect
100. #10622604C22semidirect
101. #10622604C22semidirect
102. #10622604C22semidirect
109. #10622602C22semidirect
110. #10622602C22semidirect
111. #10622602C22semidirect
112. #10622602C22semidirect
113. #10622602C22semidirect
116. #10622596C22semidirect
117. #10622594C22semidirect
118. #10622594C22semidirect
119. #10622594C22semidirect
120. #10622592C22semidirect
121. #10622585C22semidirect
122. #10622585C22semidirect
123. #10622585C22semidirect
145. #10622553C22semidirect
146. #10622553C22semidirect
148. C4×(C2×D11)⋊C4C22semidirect
151. #10622288C22semidirect
152. #10622287C22semidirect
154. #10622286C22semidirect
159. #10622285C22semidirect
165. #10622282C22semidirect
166. #10622281C22semidirect
167. #10622280C22semidirect
168. #10622280C22semidirect
175. #10622278C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
180. D11×#95C22semidirect
181. #10622272C22semidirect
182. #10622271C22semidirect
183. #10622270C22semidirect
184. #10622265C22semidirect
185. #10622265C22semidirect
186. #10622265C22semidirect
187. #10622264C22semidirect
188. #10622263C22semidirect
339. #66946D4semidirect
610. #2677D11semidirect
784. C2×C4⋊Q8C2×D11semidirect
785. C2×C4⋊Q8C2×D11semidirect
828. #398C2×D11semidirect
829. #398C2×D11semidirect
842. #395C2×D11semidirect
843. #395C2×D11semidirect
892. #387C2×D11semidirect
893. #387C2×D11semidirect
1434. C11#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#106232642
C2×#106231582
#130769112
#130769002
#130751642
#130751572
#130751082
#130751012
#130750662
#130750252
#130750042
#130749972
#130749132
#130748922
#130748662
#130748592
#130748362
#130748252
#130745422
#130744662
#130742952
#130742332
#130741962
#130741802
#130739712
#130737932
#130722412
#130722272
#130712482
C11×#26772
#3671211