Finite Group Databasebeta

← #14960830

Subgroups — #14960830

Order 2816.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623238C211yesmaximal, characteristic, complemented
2C2×#10623117C211yesmaximal, characteristic, complemented
3#13076910C211yesmaximal, characteristic, complemented
4#13076901C211yesmaximal, characteristic, complemented
5#13075322C211yesmaximal, characteristic, complemented
6#13075303C211yesmaximal, characteristic, complemented
7#13075275C211yesmaximal, characteristic, complemented
8#13075256C211yesmaximal, characteristic, complemented
9#13075231C211yesmaximal, characteristic, complemented
10#13075184C211yesmaximal, characteristic, complemented
11#13075179C211yesmaximal, characteristic, complemented
12#13074985C211yesmaximal, characteristic, complemented
13#13074984C211yesmaximal, characteristic, complemented
14#13074970C211yesmaximal, characteristic, complemented
15#13074967C211yesmaximal, characteristic, complemented
16#13074954C211yesmaximal, characteristic, complemented
17#13074954C211yesmaximal, characteristic, complemented
18#13074945C211yesmaximal, characteristic, complemented
19#13074937C211yesmaximal, characteristic, complemented
20#13074532C211yesmaximal, characteristic, complemented
21#13074454C211yesmaximal, characteristic, complemented
22#13074307C211yesmaximal, characteristic, complemented
23#13074238C211yesmaximal, characteristic, complemented
24#13074218C211yesmaximal, characteristic, complemented
25#13074201C211yesmaximal, characteristic, complemented
26#13073958C211yesmaximal, characteristic, complemented
27#13073818C211yesmaximal, characteristic, complemented
28#13071959C211yesmaximal, characteristic, complemented
29#13071946C211yesmaximal, characteristic, complemented
30#13071257C211yesmaximal, characteristic, complemented
31C11×#2685C211yesmaximal, characteristic, complemented
32C24×Dic11C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C2×#67006C2211yescharacteristic
37C2×#67006C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66991C2211yescharacteristic
41C2×#66988C2211yescharacteristic
42C2×D4×Dic11C2211yescharacteristic
43C2×D4×Dic11C2211yescharacteristic
44#10623238—28no—
45#10623117—28no—
46C2×#66951C2211yescharacteristic, complemented
47C2×#66950C2211yescharacteristic, complemented
48C2×#66950C2211yescharacteristic, complemented
49C2×#66949C2211yescharacteristic, complemented
50C2×#66947C2211yescharacteristic, complemented
51C2×C4⋊C4×D11C2211yescharacteristic, complemented
52C2×#66943C2211yescharacteristic, complemented
53C2×#66939C2211yescharacteristic
54C2×#66939C2211yescharacteristic
55C2×#66939C2211yescharacteristic
56C2×#66937C2211yescharacteristic
57C2×#66936C2211yescharacteristic
58C2×#66936C2211yescharacteristic
59C2×#66936C2211yescharacteristic
60C2×#66936C2211yescharacteristic, complemented
61C2×(C22⋊D11)⋊C4C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic
63C2×#66931C2211yescharacteristic
64C2×#66931C2211yescharacteristic
65C2×#66931C2211yescharacteristic
66C2×#66931C2211yescharacteristic
67C2×#66931C2211yescharacteristic
68C2×#66930C2211yescharacteristic
69C2×C4×D44C2211yescharacteristic, complemented
70C2×#66923C2211yescharacteristic, complemented
71C11×#399C2211yescharacteristic
72C11×#396C2211yescharacteristic
73C11×#394C2211yescharacteristic
74C11×#394C2211yescharacteristic
75C11×#394C2211yescharacteristic
76C11×#394C2211yescharacteristic
77C11×#390C2211yescharacteristic
78C11×#390C2211yescharacteristic
79C11×#388C2211yescharacteristic
80C11×#388C2211yescharacteristic
81C11×#388C2211yescharacteristic
82C11×#379C2211yescharacteristic
83C11×#379C2211yescharacteristic
84#10622860C2211yescharacteristic
85#10622836C2211yescharacteristic
86#10622836C2211yescharacteristic
87#10622835C2211yescharacteristic
88#10622835C2211yescharacteristic
89#10622834C2211yescharacteristic
90#10622607C2211yescharacteristic, complemented
91#10622604C2211yescharacteristic, complemented
92#10622602C2211yescharacteristic, complemented
93#10622600C2211yescharacteristic, complemented
94#10622597C2211yescharacteristic, complemented
95#10622597C2211yescharacteristic, complemented
96#10622596C2211yescharacteristic, complemented
97#10622596C2211yescharacteristic, complemented
98#10622595C2211yescharacteristic, complemented
99#10622594C2211yescharacteristic, complemented
100#10622594C2211yescharacteristic, complemented
101#10622592C2211yescharacteristic, complemented
102#10622590C2211yescharacteristic, complemented
103#10622586C2211yescharacteristic, complemented
104#10622586C2211yescharacteristic, complemented
105#10622585C2211yescharacteristic, complemented
106#10622585C2211yescharacteristic, complemented
107#10622574C2211yescharacteristic
108#10622574C2211yescharacteristic
109#10622574C2211yescharacteristic, complemented
110#10622573C2211yescharacteristic
111#10622573C2211yescharacteristic
112#10622573C2211yescharacteristic, complemented
113#10622572C2211yescharacteristic
114#10622572C2211yescharacteristic
115#10622572C2211yescharacteristic, complemented
116#10622571C2211yescharacteristic
117#10622571C2211yescharacteristic
118#10622571C2211yescharacteristic
119#10622571C2211yescharacteristic
120#10622571C2211yescharacteristic, complemented
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622570C2211yescharacteristic, complemented
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622569C2211yescharacteristic
130#10622569C2211yescharacteristic, complemented
131#10622566C2211yescharacteristic
132#10622566C2211yescharacteristic
133#10622565C2211yescharacteristic
134#10622565C2211yescharacteristic
135#10622565C2211yescharacteristic, complemented
136#10622564C2211yescharacteristic
137#10622564C2211yescharacteristic
138#10622564C2211yescharacteristic, complemented
139#10622563C2211yescharacteristic
140#10622563C2211yescharacteristic
141#10622563C2211yescharacteristic
142#10622563C2211yescharacteristic
143#10622563C2211yescharacteristic
144#10622563C2211yescharacteristic
145#10622563C2211yescharacteristic
146#10622563C2211yescharacteristic, complemented
147#10622563C2211yescharacteristic, complemented
148#10622561C2211yescharacteristic
149#10622561C2211yescharacteristic
150#10622561C2211yescharacteristic
151#10622561C2211yescharacteristic
152#10622561C2211yescharacteristic, complemented
153#10622561C2211yescharacteristic, complemented
154#10622561C2211yescharacteristic, complemented
155#10622560C2211yescharacteristic, complemented
156#10622559C2211yescharacteristic
157#10622559C2211yescharacteristic
158#10622559C2211yescharacteristic
159#10622559C2211yescharacteristic, complemented
160#10622557C2211yescharacteristic
161#10622557C2211yescharacteristic
162#10622556C2211yescharacteristic
163#10622556C2211yescharacteristic
164#10622555C2211yescharacteristic
165#10622555C2211yescharacteristic
166#10622555C2211yescharacteristic
167#10622553C2211yescharacteristic, complemented
168#10622553C2211yescharacteristic, complemented
169#10622548C2211yescharacteristic, complemented
170#10622546C2211yescharacteristic, complemented
171C4×Dic11⋊C4C2211yescharacteristic, complemented
172#10622542C2211yescharacteristic, complemented
173#10622289C2211yescharacteristic, complemented
174#10622287C2211yescharacteristic, complemented
175#10622287C2211yescharacteristic, complemented
176#10622282C2211yescharacteristic, complemented
177#10622282C2211yescharacteristic, complemented
178#10622281C2211yescharacteristic, complemented
179#10622281C2211yescharacteristic, complemented
180#10622277C2211yescharacteristic, complemented
181#10622274C2211yescharacteristic, complemented
182#10622274C2211yescharacteristic, complemented
183#10622270C2211yescharacteristic, complemented
184#10622269C2211yescharacteristic, complemented
185#10622269C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187#10622261C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11—24no—
202C23×Dic11—42no—
203C23×Dic11—42no—
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C2×#4341—24no—
212C2×#4341—42no—
213C2×#4341—42no—
214C22×D44C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×Dic22C2311yescharacteristic
220C22×Dic22C2311yescharacteristic
221C11×#126—24no—
222C11×#120—24no—
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×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊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×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250#67006—24no—
251#67006—42no—
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269#66992—24no—
270#66992—24no—
271#66991—42no—
272#66988—24no—
273D4×Dic11—24no—
274D4×Dic11—24no—
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×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328#66951—24no—
329#66950—24no—
330#66950—42no—
331#66949—24no—
332#66947—24no—
333C4⋊C4×D11—24no—
334#66943—24no—
335#66939—24no—
336#66939—24no—
337#66939—42no—
338#66937—24no—
339#66936—24no—
340#66936—24no—
341#66936—42no—
342#66936—42no—
343(C22⋊D11)⋊C4—24no—
344(C22⋊D11)⋊C4D418yescomplemented
345#66931—24no—
346#66931—24no—
347#66931—24no—
348#66931—42no—
349#66931—42no—
350#66930—24no—
351C4×D44—24no—
352#66923—24no—
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#36723—111nomaximal, Sylow
386C24×C11—22no—
387C24×C11—22no—
388C24×C11—22no—
389C24×C11—41no—
390C24×C11—41no—
391C24×C11—41no—
392C24×C11—41no—
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C24×C11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C2×D4×C11—22no—
400C2×D4×C11—22no—
401C2×D4×C11—22no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
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—
442C2×C22⋊D11C2×D414yes—
443C22×Dic11—22no—
444C22×Dic11—22no—
445C22×Dic11—22no—
446C22×Dic11—22no—
447C22×Dic11—22no—
448C22×Dic11—22no—
449C22×Dic11—22no—
450C22×Dic11—22no—
451C22×Dic11—22no—
452C22×Dic11—22no—
453C22×Dic11—22no—
454C22×Dic11—41no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11—41no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11—41no—
462C22×Dic11—41no—
463C22×Dic11—416no—
464C22×Dic11C2×D414yes—
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479#4341—416no—
480C2×D44—22no—
481C2×D44—41no—
482C2×D44—41no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—22no—
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×D11C2×D414yes—
495C2×Dic22—22no—
496C2×Dic22—22no—
497C2×Dic22—22no—
498C2×Dic22—41no—
499C2×Dic22—41no—
500C2×Dic22—41no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—22no—
504C11×C4⋊C4—41no—
505C11×C4⋊C4—41no—
506C11×C4⋊C4—41no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—41no—
514C11×C22⋊C4—41no—
515C11×C22⋊C4—41no—
516C11×C22⋊C4—41no—
517C11×C22⋊C4—41no—
518C11×C22⋊C4—41no—
519C11×C22⋊C4—41no—
520C11×C22⋊C4—41no—
521C11×C22⋊C4—41no—
522C11×C22⋊C4—41no—
523C11×C22⋊C4—41no—
524C11×C22⋊C4—41no—
525C11×C22⋊C4C2×D414yes—
526C42×C11—22no—
527C42×C11—41no—
528C22⋊Dic11—22no—
529C22⋊Dic11—22no—
530C22⋊Dic11—22no—
531C22⋊Dic11—22no—
532C22⋊Dic11—22no—
533C22⋊Dic11—22no—
534C22⋊Dic11—22no—
535C22⋊Dic11—22no—
536C22⋊Dic11—41no—
537C22⋊Dic11—41no—
538C22⋊Dic11—41no—
539C22⋊Dic11—41no—
540C22⋊Dic11—41no—
541C22⋊Dic11—41no—
542C22⋊Dic11—41no—
543C22⋊Dic11—41no—
544C22⋊Dic11—41no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—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)⋊C4C2×D414yes—
561C4⋊Dic11—22no—
562C4⋊Dic11—22no—
563C4⋊Dic11—22no—
564C4⋊Dic11—22no—
565C4⋊Dic11—22no—
566C4⋊Dic11—22no—
567C4⋊Dic11—22no—
568C4⋊Dic11—22no—
569C4⋊Dic11—22no—
570C4⋊Dic11—41no—
571C4⋊Dic11—41no—
572C4⋊Dic11—41no—
573C4⋊Dic11—41no—
574C4⋊Dic11—41no—
575Dic11⋊C4—22no—
576Dic11⋊C4—22no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—41no—
585Dic11⋊C4—41no—
586Dic11⋊C4—41no—
587Dic11⋊C4—41no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590Dic11⋊C4—41no—
591Dic11⋊C4—41no—
592Dic11⋊C4C2×D414yes—
593C4×Dic11—22no—
594C4×Dic11—41no—
595C4×Dic11—41no—
596C4×Dic11—41no—
597C4×Dic11C2×D414yes—
598C2×#539—111no—
599C2×#525—111no—
600#2849—111no—
601#2848—111no—
602#2707—111no—
603#2706—111no—
604#2704—111no—
605#2703—111no—
606#2701—111no—
607#2698—111no—
608#2697—111no—
609#2685D1111yescharacteristic, complemented
610#2683—111no—
611#2682—111no—
612#2681—111no—
613#2681—111no—
614#2680—111no—
615#2680—111no—
616#2678—111no—
617#2678—111no—
618#2638—111no—
619#2630—111no—
620#2611—111no—
621#2603—111no—
622#2601—111no—
623#2600—111no—
624#2579—111no—
625#2566—111no—
626#2407—111no—
627#2406—111no—
628#2319—111no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—44no—
655C23×C11—44no—
656C23×C11—44no—
657C23×C11—44no—
658C23×C11—44no—
659C23×C11—44no—
660C23×C11—44no—
661C23×C11C22×D412yes—
662C23×C11H(5,𝔽2)12yes—
663C23×C112−1+412yes—
664C23×C11C2511yescharacteristic
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11C22×D412yes—
679D4×C11—44no—
680D4×C11—44no—
681D4×C11—44no—
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×C11C22×D412yes—
714C2×C4×C11C22×D412yes—
715C22⋊D11—44no—
716C22⋊D11—44no—
717C22⋊D11—44no—
718C22⋊D11—44no—
719C22⋊D11—82no—
720C22⋊D11—82no—
721C22⋊D11—82no—
722C22⋊D11—82no—
723C2×Dic11—28no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—44no—
763C2×Dic11—44no—
764C2×Dic11—44no—
765C2×Dic11—44no—
766C2×Dic11—44no—
767C2×Dic11—44no—
768C2×Dic11C22×D412yes—
769C2×Dic11C22×D412yes—
770C2×Dic11C22×D412yes—
771C2×Dic11H(5,𝔽2)12yes—
772D44—44no—
773C4×D11—44no—
774C4×D11—44no—
775C4×D11—82no—
776C4×D11—82no—
777Dic22—44no—
778Dic22—82no—
779C22×#41—111no—
780C24×C4—111no—
781#539—228no—
782C2×#126—111no—
783C2×#126C2×D1111yescharacteristic
784C2×#125—111no—
785C2×#125—111no—
786#525—228no—
787C2×#123—111no—
788C2×#123—111no—
789C2×#123—111no—
790C2×#123—111no—
791C2×#123—111no—
792C2×#123—111no—
793C2×#123—111no—
794C2×#123—111no—
795C2×#123—111no—
796C2×C22⋊Q8—111no—
797C2×C22⋊Q8—111no—
798C2×C22⋊Q8—111no—
799C2×C22⋊Q8—111no—
800C2×C22⋊Q8—111no—
801C2×C22⋊Q8—111no—
802C2×C22⋊Q8—111no—
803C2×C22⋊Q8—111no—
804C2×#121—111no—
805C2×#121—111no—
806C2×#121—111no—
807C2×#121—111no—
808C2×#120—111no—
809C2×#120—111no—
810C2×#120C2×D1111yescharacteristic
811C2×C4×D4—111no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×#117—111no—
817C22×C4⋊C4—111no—
818#400—111no—
819#399C2×D1111yescharacteristic
820#398—111no—
821#398—111no—
822#398—111no—
823#398—111no—
824#398—111no—
825#398—111no—
826#398—111no—
827#397—111no—
828#397—111no—
829#397—111no—
830#397—111no—
831#397—111no—
832#397—111no—
833#397—111no—
834#396—111no—
835#396—111no—
836#396—111no—
837#396—111no—
838#396—111no—
839#396—111no—
840#396—111no—
841#396—111no—
842#396—111no—
843#396C2×D1111yescharacteristic
844#395—111no—
845#395—111no—
846#395—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#394C2×D1111yescharacteristic
857#394C2×D1111yescharacteristic
858#394C2×D1111yescharacteristic
859#394C2×D1111yescharacteristic
860#393—111no—
861#392—111no—
862#392—111no—
863#392—111no—
864#392—111no—
865#392—111no—
866#391—111no—
867#390—111no—
868#390—111no—
869#390—111no—
870#390—111no—
871#390—111no—
872#390—111no—
873#390C2×D1111yescharacteristic
874#390C2×D1111yescharacteristic
875#389—111no—
876#389—111no—
877#389—111no—
878#389—111no—
879#389—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388C2×D1111yescharacteristic
890#388C2×D1111yescharacteristic
891#388C2×D1111yescharacteristic
892#387—111no—
893#387—111no—
894#387—111no—
895#387—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#385—111no—
907#385—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#384—111no—
923#382—111no—
924#381—111no—
925#381—111no—
926#381—111no—
927#380—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#379—111no—
932#379C2×D1111yescharacteristic
933#379C2×D1111yescharacteristic
934C4×C4⋊C4—111no—
935#376—111no—
936C22×C11—22no—
937C22×C11—22no—
938C22×C11—22no—
939C22×C11—22no—
940C22×C11—22no—
941C22×C11—22no—
942C22×C11—22no—
943C22×C11—22no—
944C22×C11—22no—
945C22×C11—416no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11—41no—
959C22×C11—41no—
960C22×C11—41no—
961C22×C11—41no—
962C22×C11—41no—
963C22×C11—41no—
964C22×C11—41no—
965C22×C11C23×D411yescharacteristic
966C22×C11C2×H(5,𝔽2)11yescharacteristic
967C22×C11C2×H(5,𝔽2)11yescharacteristic
968C22×C11C2×2−1+411yescharacteristic
969C22×C11#58511yescharacteristic
970C22×C11#58511yescharacteristic
971C22×C11#58511yescharacteristic
972C2×D11—22no—
973C2×D11—22no—
974C2×D11—22no—
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—
986C4×C11—22no—
987C4×C11—22no—
988C4×C11—41no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996C4×C11—41no—
997Dic11—22no—
998Dic11—22no—
999Dic11—22no—
1000Dic11—22no—
1001Dic11—41no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009Dic11—41no—
1010Dic11—41no—
1011C25C22×D1111yescharacteristic
1012C2×#41—224no—
1013C2×#41—442no—
1014C2×#41—442no—
1015C22×Q8—111no—
1016C22×Q8—111no—
1017C22×D4—111no—
1018C22×D4—111no—
1019C22×D4—111no—
1020C22×D4—111no—
1021C22×D4—111no—
1022C22×D4—111no—
1023C22×D4—111no—
1024C22×D4—111no—
1025C22×D4—111no—
1026C22×D4C22×D1111yescharacteristic
1027C22×D4C22×D1111yescharacteristic
1028C22×D4C22×D1111yescharacteristic
1029C23×C4—111no—
1030C23×C4—111no—
1031C23×C4—111no—
1032C23×C4—111no—
1033C23×C4—111no—
1034C23×C4—111no—
1035C23×C4—111no—
1036C23×C4—111no—
1037C23×C4—111no—
1038C23×C4—111no—
1039C23×C4—111no—
1040C23×C4—224no—
1041C23×C4—442no—
1042C23×C4—442no—
1043#126—24no—
1044#126—224no—
1045#125—224no—
1046#125—224no—
1047#123—224no—
1048#123—224no—
1049#123—224no—
1050#123—224no—
1051#123—224no—
1052#123—224no—
1053#123—442no—
1054#123—442no—
1055#123—442no—
1056C22⋊Q8—224no—
1057C22⋊Q8—224no—
1058C22⋊Q8—224no—
1059C22⋊Q8—224no—
1060C22⋊Q8—224no—
1061C22⋊Q8—442no—
1062C22⋊Q8—442no—
1063C22⋊Q8—442no—
1064#121—224no—
1065#121—224no—
1066#121—224no—
1067#121—442no—
1068#120—24no—
1069#120—224no—
1070#120—442no—
1071C4×D4—118no—
1072C4×D4—224no—
1073C4×D4—224no—
1074C4×D4—224no—
1075C4×D4—224no—
1076#117—224no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—224no—
1110C2×C4⋊C4C22×D1111yescharacteristic
1111C2×C4⋊C4C22×D1111yescharacteristic
1112C2×C4⋊C4C22×D1111yescharacteristic
1113C2×C4⋊C4C22×D1111yescharacteristic
1114C2×C4⋊C4C22×D1111yescharacteristic
1115C2×C4⋊C4C22×D1111yescharacteristic
1116C2×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⋊C4C22×D1111yescharacteristic
1150C2×C22⋊C4C22×D1111yescharacteristic
1151C2×C22⋊C4C22×D1111yescharacteristic
1152C2×C22⋊C4C22×D1111yescharacteristic
1153C2×C22⋊C4C22×D1111yescharacteristic
1154C2×C22⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4C22×D1111yescharacteristic
1156C2×C22⋊C4C22×D1111yescharacteristic
1157C2×C22⋊C4C22×D1111yescharacteristic
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
1160C2×C22⋊C4C22×D1111yescharacteristic
1161C2×C22⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C42—111no—
1169C2×C42—111no—
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42—111no—
1173C2×C42C22×D1111yescharacteristic
1174C2×C42C22×D1111yescharacteristic
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95C22×D1111yescharacteristic
1204#95C22×D1111yescharacteristic
1205#95C22×D1111yescharacteristic
1206#95C22×D1111yescharacteristic
1207C2×C11—42no—
1208C2×C11—42no—
1209C2×C11—42no—
1210C2×C11—81no—
1211C2×C11#344911yescharacteristic
1212C2×C11#348411yescharacteristic
1213C2×C11#348911yescharacteristic
1214C2×C11#353311yescharacteristic
1215C2×C11#353511yescharacteristic
1216C2×C11#353911yescharacteristic
1217C2×C11#354111yescharacteristic
1218D11—42no—
1219D11—81no—
1220C24—22no—
1221C24—22no—
1222C24—22no—
1223C24—41no—
1224C24—41no—
1225C24—41no—
1226C24—41no—
1227C24—111no—
1228C24—111no—
1229C24C23×D1111yescharacteristic
1230C24C23×D1111yescharacteristic
1231C24C23×D1111yescharacteristic
1232C24C23×D1111yescharacteristic
1233#41—4416no—
1234C2×Q8—222no—
1235C2×Q8—222no—
1236C2×Q8—222no—
1237C2×Q8—441no—
1238C2×Q8—441no—
1239C2×Q8—441no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—114no—
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—441no—
1261C2×D4—441no—
1262C2×D4—441no—
1263C2×D4—441no—
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—
1276C22×C4—111no—
1277C22×C4—111no—
1278C22×C4—111no—
1279C22×C4—111no—
1280C22×C4—114no—
1281C22×C4—114no—
1282C22×C4—111no—
1283C22×C4—111no—
1284C22×C4—111no—
1285C22×C4—111no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—222no—
1293C22×C4—222no—
1294C22×C4—222no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—222no—
1306C22×C4—441no—
1307C22×C4—441no—
1308C22×C4—441no—
1309C22×C4—441no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4—441no—
1313C22×C4—441no—
1314C22×C4—441no—
1315C22×C4—441no—
1316C22×C4—441no—
1317C22×C4—441no—
1318C22×C4—441no—
1319C22×C4—441no—
1320C22×C4—441no—
1321C22×C4—441no—
1322C22×C4—441no—
1323C22×C4—4416no—
1324C22×C4C23×D1111yescharacteristic
1325C22×C4C23×D1111yescharacteristic
1326C22×C4C23×D1111yescharacteristic
1327C22×C4C23×D1111yescharacteristic
1328C22×C4C23×D1111yescharacteristic
1329C22×C4C23×D1111yescharacteristic
1330C22×C4C23×D1111yescharacteristic
1331C22×C4C23×D1111yescharacteristic
1332C22×C4C23×D1111yescharacteristic
1333C22×C4C23×D1111yescharacteristic
1334C22×C4C23×D1111yescharacteristic
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—114no—
1342C4⋊C4—222no—
1343C4⋊C4—222no—
1344C4⋊C4—222no—
1345C4⋊C4—222no—
1346C4⋊C4—222no—
1347C4⋊C4—222no—
1348C4⋊C4—222no—
1349C4⋊C4—222no—
1350C4⋊C4—222no—
1351C4⋊C4—222no—
1352C4⋊C4—222no—
1353C4⋊C4—222no—
1354C4⋊C4—222no—
1355C4⋊C4—222no—
1356C4⋊C4—222no—
1357C4⋊C4—222no—
1358C4⋊C4—222no—
1359C4⋊C4—222no—
1360C4⋊C4—441no—
1361C4⋊C4—441no—
1362C4⋊C4—441no—
1363C4⋊C4—441no—
1364C4⋊C4—441no—
1365C4⋊C4—441no—
1366C4⋊C4—441no—
1367C4⋊C4—441no—
1368C4⋊C4—441no—
1369C4⋊C4—441no—
1370C4⋊C4—441no—
1371C4⋊C4—441no—
1372C4⋊C4—441no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—114no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—222no—
1396C22⋊C4—222no—
1397C22⋊C4—222no—
1398C22⋊C4—222no—
1399C22⋊C4—222no—
1400C22⋊C4—222no—
1401C22⋊C4—222no—
1402C22⋊C4—222no—
1403C22⋊C4—222no—
1404C22⋊C4—222no—
1405C22⋊C4—222no—
1406C22⋊C4—222no—
1407C22⋊C4—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⋊C4D4×D1114yes—
1425C42—22no—
1426C42—41no—
1427C42—114no—
1428C42—222no—
1429C42—441no—
1430C42—441no—
1431C42—441no—
1432C11#3672311yescharacteristic, complemented, Sylow
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—112no—
1466C23—221no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—221no—
1471C23—221no—
1472C23—221no—
1473C23—221no—
1474C23—221no—
1475C23—221no—
1476C23—221no—
1477C23—221no—
1478C23—221no—
1479C23C2×D4×D1112yes—
1480C23#6704212yes—
1481C23#6704312yes—
1482C23C24×D1111yescharacteristic
1483Q8—444no—
1484Q8—882no—
1485D4—44no—
1486D4—44no—
1487D4—44no—
1488D4—444no—
1489D4—444no—
1490D4—444no—
1491D4—444no—
1492D4—444no—
1493D4—882no—
1494D4—882no—
1495D4—882no—
1496D4—882no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—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—112no—
1529C2×C4—112no—
1530C2×C4—112no—
1531C2×C4—112no—
1532C2×C4—228no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—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—444no—
1572C2×C4—444no—
1573C2×C4—444no—
1574C2×C4—444no—
1575C2×C4—444no—
1576C2×C4—444no—
1577C2×C4—444no—
1578C2×C4—444no—
1579C2×C4—882no—
1580C2×C4—882no—
1581C2×C4C2×D4×D1112yes—
1582C2×C4C2×D4×D1112yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—416no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—222no—
1613C22—222no—
1614C22—222no—
1615C22—441no—
1616C22—441no—
1617C22—441no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22—441no—
1622C22—441no—
1623C22—441no—
1624C22—441no—
1625C22—441no—
1626C22C22×D4×D1111yescharacteristic
1627C22C2×#6704211yescharacteristic
1628C22C2×#6704311yescharacteristic
1629C22D11×H(5,𝔽2)11yescharacteristic
1630C22#1062345511yescharacteristic
1631C22#1062345511yescharacteristic
1632C22#1062345511yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—222no—
1645C4—222no—
1646C4—222no—
1647C4—222no—
1648C4—441no—
1649C4—441no—
1650C4—441no—
1651C4—441no—
1652C4—441no—
1653C4—441no—
1654C4—441no—
1655C4—441no—
1656C4—441no—
1657C4—441no—
1658C2—42no—
1659C2—42no—
1660C2—42no—
1661C2—81no—
1662C2—442no—
1663C2—881no—
1664C2#1308194711yescharacteristic
1665C2#1308224611yescharacteristic
1666C2#1308228711yescharacteristic
1667C2#1308278411yescharacteristic
1668C2#1308282111yescharacteristic
1669C2#1308287011yescharacteristic
1670C2#1308289611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2685C2
hypercenter#2685D11
hypocenterC11#36723
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2685

Complements

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

NH ≅ G/Ntype
1. C2×#10623238C2semidirect
2. C2×#10623117C2semidirect
3. #13076910C2semidirect
4. #13076901C2semidirect
5. #13075322C2semidirect
6. #13075303C2semidirect
7. #13075275C2semidirect
8. #13075256C2semidirect
9. #13075231C2semidirect
10. #13075184C2semidirect
11. #13075179C2semidirect
12. #13074985C2semidirect
13. #13074984C2semidirect
14. #13074970C2semidirect
15. #13074967C2semidirect
16. #13074954C2semidirect
17. #13074954C2semidirect
18. #13074945C2semidirect
19. #13074937C2semidirect
20. #13074532C2semidirect
21. #13074454C2semidirect
22. #13074307C2semidirect
23. #13074238C2semidirect
24. #13074218C2semidirect
25. #13074201C2semidirect
26. #13073958C2semidirect
27. #13073818C2semidirect
28. #13071959C2semidirect
29. #13071946C2semidirect
30. #13071257C2semidirect
31. C11×#2685C2semidirect
46. C2×#66951C22semidirect
47. C2×#66950C22semidirect
48. C2×#66950C22semidirect
49. C2×#66949C22semidirect
50. C2×#66947C22semidirect
51. C2×C4⋊C4×D11C22semidirect
52. C2×#66943C22semidirect
60. C2×#66936C22semidirect
69. C2×C4×D44C22semidirect
70. C2×#66923C22semidirect
90. #10622607C22semidirect
91. #10622604C22semidirect
92. #10622602C22semidirect
93. #10622600C22semidirect
94. #10622597C22semidirect
95. #10622597C22semidirect
96. #10622596C22semidirect
97. #10622596C22semidirect
98. #10622595C22semidirect
99. #10622594C22semidirect
100. #10622594C22semidirect
101. #10622592C22semidirect
102. #10622590C22semidirect
103. #10622586C22semidirect
104. #10622586C22semidirect
105. #10622585C22semidirect
106. #10622585C22semidirect
109. #10622574C22semidirect
112. #10622573C22semidirect
115. #10622572C22semidirect
120. #10622571C22semidirect
125. #10622570C22semidirect
130. #10622569C22semidirect
135. #10622565C22semidirect
138. #10622564C22semidirect
146. #10622563C22semidirect
147. #10622563C22semidirect
152. #10622561C22semidirect
153. #10622561C22semidirect
154. #10622561C22semidirect
155. #10622560C22semidirect
159. #10622559C22semidirect
167. #10622553C22semidirect
168. #10622553C22semidirect
169. #10622548C22semidirect
170. #10622546C22semidirect
171. C4×Dic11⋊C4C22semidirect
172. #10622542C22semidirect
173. #10622289C22semidirect
174. #10622287C22semidirect
175. #10622287C22semidirect
176. #10622282C22semidirect
177. #10622282C22semidirect
178. #10622281C22semidirect
179. #10622281C22semidirect
180. #10622277C22semidirect
181. #10622274C22semidirect
182. #10622274C22semidirect
183. #10622270C22semidirect
184. #10622269C22semidirect
185. #10622269C22semidirect
186. #10622265C22semidirect
187. #10622261C22semidirect
188. #10622260C22semidirect
344. (C22⋊D11)⋊C4D4semidirect
609. #2685D11semidirect
1432. C11#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#106232382
C2×#106231172
#130769102
#130769012
#130753222
#130753032
#130752752
#130752562
#130752312
#130751842
#130751792
#130749852
#130749842
#130749702
#130749672
#130749542
#130749452
#130749372
#130745322
#130744542
#130743072
#130742382
#130742182
#130742012
#130739582
#130738182
#130719592
#130719462
#130712572
C11×#26852
#3672311