Finite Group Databasebeta

← #14926582

Subgroups — #14926582

Order 2816.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076948C211yesmaximal, characteristic, complemented
2#13076937C211yesmaximal, characteristic, complemented
3#13076933C211yesmaximal, characteristic, complemented
4#13076913C211yesmaximal, characteristic, complemented
5#13074684C211yesmaximal, characteristic, complemented
6#13074616C211yesmaximal, characteristic, complemented
7#13074609C211yesmaximal, characteristic, complemented
8#13074603C211yesmaximal, characteristic, complemented
9#13073279C211yesmaximal, characteristic, complemented
10#13073278C211yesmaximal, characteristic, complemented
11#13073171C211yesmaximal, characteristic, complemented
12#13073110C211yesmaximal, characteristic, complemented
13#13072936C211yesmaximal, characteristic, complemented
14#13072863C211yesmaximal, characteristic, complemented
15#13072735C211yesmaximal, characteristic, complemented
16#13072664C211yesmaximal, characteristic, complemented
17#13072558C211yesmaximal, characteristic, complemented
18#13072366C211yesmaximal, characteristic, complemented
19#13072284C211yesmaximal, characteristic, complemented
20#13072169C211yesmaximal, characteristic, complemented
21#13072010C211yesmaximal, characteristic, complemented
22#13071989C211yesmaximal, characteristic
23#13071942C211yesmaximal, characteristic, complemented
24#13071343C211yesmaximal, characteristic, complemented
25#13071278C211yesmaximal, characteristic, complemented
26#13071247C211yesmaximal, characteristic, complemented
27#13071210C211yesmaximal, characteristic, complemented
28C4×#66935C211yesmaximal, characteristic, complemented
29D11×#386C211yesmaximal, characteristic, complemented
30C2×#10622279C211yesmaximal, characteristic, complemented
31C11×#2510C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×#66992C2211yescharacteristic
35C2×#66988C2211yescharacteristic
36C2×#66983C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic, complemented
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C22×(C2×D11)⋊C4C2211yescharacteristic
40C22×C4×Dic11C2211yescharacteristic, complemented
41C22×C4×Dic11C2211yescharacteristic, complemented
42C2×#66951C2211yescharacteristic, complemented
43C2×#66949C2211yescharacteristic
44C2×#66939C2211yescharacteristic
45C2×#66939C2211yescharacteristic, complemented
46C2×#66938C2211yescharacteristic, complemented
47C2×#66935C2211yescharacteristic
48C2×#66935C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×C22⋊C4×D11C2211yescharacteristic
52C2×#66931C2211yescharacteristic, complemented
53C2×C4×D44C2211yescharacteristic
54C2×C4×D44C2211yescharacteristic, complemented
55C11×#401C2211yescharacteristic, complemented
56C11×#400C2211yescharacteristic, complemented
57C11×#397C2211yescharacteristic, complemented
58C11×#397C2211yescharacteristic, complemented
59C11×#388C2211yescharacteristic, complemented
60C11×#388C2211yescharacteristic, complemented
61C11×#387C2211yescharacteristic, complemented
62C11×#386C2211yescharacteristic
63C11×#386C2211yescharacteristic
64C11×#386C2211yescharacteristic
65C11×#385C2211yescharacteristic, complemented
66C11×#383C2211yescharacteristic, complemented
67C11×#380C2211yescharacteristic, complemented
68C4×C11×C22⋊C4C2211yescharacteristic, complemented
69C2×C11×#95C2211yescharacteristic, complemented
70#10622833C2211yescharacteristic
71#10622826C2211yescharacteristic
72#10622826C2211yescharacteristic
73#10622826C2211yescharacteristic, complemented
74#10622823C2211yescharacteristic, complemented
75C2×C11⋊#95C2211yescharacteristic, complemented
76#10622607C2211yescharacteristic, complemented
77#10622605C2211yescharacteristic, complemented
78#10622604C2211yescharacteristic, complemented
79#10622604C2211yescharacteristic, complemented
80#10622603C2211yescharacteristic, complemented
81#10622602C2211yescharacteristic
82#10622601C2211yescharacteristic, complemented
83#10622601C2211yescharacteristic, complemented
84#10622600C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622598C2211yescharacteristic, complemented
87#10622598C2211yescharacteristic, complemented
88#10622594C2211yescharacteristic, complemented
89#10622591C2211yescharacteristic, complemented
90#10622574C2211yescharacteristic
91#10622574C2211yescharacteristic
92#10622574C2211yescharacteristic
93#10622573C2211yescharacteristic
94#10622572C2211yescharacteristic, complemented
95#10622571C2211yescharacteristic
96#10622571C2211yescharacteristic
97#10622571C2211yescharacteristic, complemented
98#10622570C2211yescharacteristic, complemented
99#10622569C2211yescharacteristic
100#10622569C2211yescharacteristic
101#10622569C2211yescharacteristic, complemented
102#10622568C2211yescharacteristic
103#10622568C2211yescharacteristic
104#10622568C2211yescharacteristic
105#10622568C2211yescharacteristic
106#10622564C2211yescharacteristic, complemented
107#10622564C2211yescharacteristic, complemented
108#10622564C2211yescharacteristic, complemented
109#10622564C2211yescharacteristic, complemented
110#10622563C2211yescharacteristic, complemented
111#10622561C2211yescharacteristic, complemented
112#10622559C2211yescharacteristic, complemented
113#10622558C2211yescharacteristic, complemented
114#10622558C2211yescharacteristic, complemented
115#10622557C2211yescharacteristic, complemented
116#10622556C2211yescharacteristic, complemented
117#10622553C2211yescharacteristic, complemented
118#10622553C2211yescharacteristic, complemented
119C4×(C2×D11)⋊C4C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
121#10622549C2211yescharacteristic, complemented
122#10622542C2211yescharacteristic, complemented
123#10622289C2211yescharacteristic, complemented
124#10622288C2211yescharacteristic, complemented
125#10622288C2211yescharacteristic, complemented
126#10622288C2211yescharacteristic, complemented
127#10622287C2211yescharacteristic, complemented
128#10622287C2211yescharacteristic, complemented
129#10622287C2211yescharacteristic, complemented
130#10622286C2211yescharacteristic, complemented
131#10622286C2211yescharacteristic, complemented
132#10622285C2211yescharacteristic
133#10622285C2211yescharacteristic
134#10622285C2211yescharacteristic
135#10622285C2211yescharacteristic, complemented
136#10622284C2211yescharacteristic
137#10622283C2211yescharacteristic, complemented
138#10622283C2211yescharacteristic, complemented
139#10622283C2211yescharacteristic, complemented
140#10622283C2211yescharacteristic, complemented
141#10622283C2211yescharacteristic, complemented
142#10622283C2211yescharacteristic, complemented
143#10622282C2211yescharacteristic, complemented
144#10622282C2211yescharacteristic, complemented
145#10622282C2211yescharacteristic, complemented
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic, complemented
152#10622280C2211yescharacteristic
153#10622280C2211yescharacteristic, complemented
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic, complemented
159#10622279C2211yescharacteristic, complemented
160#10622279C2211yescharacteristic, complemented
161#10622279C2211yescharacteristic, complemented
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic, complemented
170#10622277C2211yescharacteristic, complemented
171D11×#95C2211yescharacteristic
172D11×#95C2211yescharacteristic
173#10622273C2211yescharacteristic, complemented
174#10622272C2211yescharacteristic, complemented
175#10622272C2211yescharacteristic, complemented
176#10622270C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622267C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C2×D4×D11—24no—
201C2×D4×D11—42no—
202C2×D4×D11—42no—
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×C4×D11—24no—
208C22×C4×D11—42no—
209C22×C4×D11—42no—
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×Dic22C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241#66992—42no—
242#66988—42no—
243#66983—42no—
244C4×C22⋊D11—42no—
245C2×(C2×D11)⋊C4—24no—
246C2×(C2×D11)⋊C4—24no—
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×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11—42no—
302C2×C4×Dic11—42no—
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312#66951—42no—
313#66949—24no—
314#66939—42no—
315#66939—42no—
316#66938—42no—
317#66935—24no—
318#66935—24no—
319C22⋊C4×D11—24no—
320C22⋊C4×D11—42no—
321C22⋊C4×D11—42no—
322#66931—42no—
323C4×D44—24no—
324C4×D44—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#34998—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—22no—
378C23×D11—22no—
379C23×D11—41no—
380C23×D11—41no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11#4114yes—
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C2×C22⋊D11—22no—
416C2×C22⋊D11—22no—
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C22×Dic11—22no—
428C22×Dic11—22no—
429C22×Dic11—22no—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—41no—
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448D4×D11—416no—
449C2×D44—22no—
450C2×D44—22no—
451C2×D44—22no—
452C2×D44—22no—
453C2×D44—22no—
454C2×D44—22no—
455C2×D44—41no—
456C2×D44—41no—
457C2×D44—41no—
458C2×D44—41no—
459C2×D44—41no—
460C2×D44—41no—
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—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
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—416no—
485C2×C4×D11#4114yes—
486C2×Dic22—22no—
487C2×Dic22—41no—
488C2×Dic22—41no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4—41no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C42×C11—22no—
503C42×C11—41no—
504C22⋊Dic11—22no—
505C22⋊Dic11—22no—
506C22⋊Dic11—22no—
507C22⋊Dic11—22no—
508C22⋊Dic11—41no—
509C22⋊Dic11—41no—
510C22⋊Dic11—41no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
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—22no—
527(C2×D11)⋊C4—22no—
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#4114yes—
547C4⋊Dic11—22no—
548C4⋊Dic11—22no—
549C4⋊Dic11—41no—
550C4⋊Dic11—41no—
551C4⋊Dic11—41no—
552C4⋊Dic11—41no—
553C4⋊Dic11—41no—
554C4⋊Dic11—41no—
555Dic11⋊C4—22no—
556Dic11⋊C4—22no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560Dic11⋊C4—41no—
561Dic11⋊C4—41no—
562Dic11⋊C4—41no—
563Dic11⋊C4—41no—
564Dic11⋊C4—41no—
565C4×Dic11—22no—
566C4×Dic11—22no—
567C4×Dic11—41no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574#2854—111no—
575#2853—111no—
576#2852—111no—
577#2850—111no—
578#2653—111no—
579#2649—111no—
580#2648—111no—
581#2648—111no—
582#2518—111no—
583#2518—111no—
584#2510—111no—
585#2510D1111yescharacteristic, complemented
586#2505—111no—
587#2488—111no—
588#2480—111no—
589#2472—111no—
590#2467—111no—
591#2459—111no—
592#2444—111no—
593#2437—111no—
594#2425—111no—
595#2412—111no—
596#2410—111no—
597#2405—111no—
598#2329—111no—
599#2321—111no—
600#2318—111no—
601#2312—111no—
602C4×#120—111no—
603C2×#386—111no—
604C2×C4×C22⋊C4—111no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11C2×#4112yes—
617C23×C11H(5,𝔽2)12yes—
618C23×C11H(5,𝔽2)12yes—
619C23×C11C2511yescharacteristic
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—28no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—28no—
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—21no—
646C22×D11—44no—
647C22×D11—44no—
648C22×D11—44no—
649C22×D11—44no—
650C22×D11—44no—
651C22×D11—44no—
652C22×D11—44no—
653C22×D11—44no—
654C22×D11—82no—
655C22×D11—82no—
656C22×D11—82no—
657C22×D11—82no—
658C22×D11C2×#4112yes—
659C22×D11C2×#4112yes—
660C22×D11C2×#4112yes—
661C22×D11C2×#4112yes—
662D4×C11—44no—
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—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—44no—
701C2×C4×C11—44no—
702C2×C4×C11—44no—
703C2×C4×C11C2×#4112yes—
704C2×C4×C11C2×#4112yes—
705C22⋊D11—44no—
706C22⋊D11—44no—
707C22⋊D11—44no—
708C22⋊D11—82no—
709C2×Dic11—28no—
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—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—44no—
744C2×Dic11—44no—
745C2×Dic11C2×#4112yes—
746C2×Dic11C2×#4112yes—
747C2×Dic11H(5,𝔽2)12yes—
748D44—44no—
749D44—44no—
750D44—44no—
751D44—82no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—82no—
758C4×D11—82no—
759C4×D11—82no—
760Dic22—82no—
761C23×D4—111no—
762C24×C4—111no—
763C2×#126—111no—
764C2×#124—111no—
765C2×#123—111no—
766C2×#123—111no—
767C2×#123—111no—
768C2×C22⋊Q8—111no—
769C2×C22⋊Q8—111no—
770C2×#121—111no—
771C2×#121—111no—
772C2×#120—111no—
773C2×#120—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4—111no—
777C22×C22⋊C4—111no—
778C22×C22⋊C4—111no—
779C22×C22⋊C4—111no—
780C22×C22⋊C4—111no—
781C22×C22⋊C4—111no—
782C22×C42—111no—
783C22×C42—111no—
784#401C2×D1111yescharacteristic, complemented
785#400—111no—
786#400—111no—
787#400—111no—
788#400C2×D1111yescharacteristic, complemented
789#399—111no—
790#398—111no—
791#397—111no—
792#397—111no—
793#397—111no—
794#397—111no—
795#397—111no—
796#397—111no—
797#397C2×D1111yescharacteristic, complemented
798#397C2×D1111yescharacteristic, complemented
799#396—111no—
800#396—111no—
801#396—111no—
802#394—111no—
803#394—111no—
804#394—111no—
805#394—111no—
806#394—111no—
807#394—111no—
808#394—111no—
809#394—111no—
810#394—111no—
811#394—111no—
812#393—111no—
813#393—111no—
814#392—111no—
815#392—111no—
816#391—111no—
817#391—111no—
818#390—111no—
819#390—111no—
820#390—111no—
821#389—111no—
822#389—111no—
823#389—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388—111no—
843#388C2×D1111yescharacteristic, complemented
844#388C2×D1111yescharacteristic, complemented
845#387—111no—
846#387—111no—
847#387—111no—
848#387—111no—
849#387—111no—
850#387—111no—
851#387—111no—
852#387—111no—
853#387C2×D1111yescharacteristic, complemented
854#386—111no—
855#386—111no—
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#386C2×D1111yescharacteristic
873#386C2×D1111yescharacteristic
874#386C2×D1111yescharacteristic
875#385—111no—
876#385—111no—
877#385—111no—
878#385—111no—
879#385—111no—
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385C2×D1111yescharacteristic, complemented
886#383—111no—
887#383C2×D1111yescharacteristic, complemented
888#382—111no—
889#382—111no—
890#381—111no—
891#381—111no—
892#380—111no—
893#380—111no—
894#380—111no—
895#380—111no—
896#380C2×D1111yescharacteristic, complemented
897#379—111no—
898#379—111no—
899#379—111no—
900#379—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4—111no—
906C4×C22⋊C4—111no—
907C4×C22⋊C4—111no—
908C4×C22⋊C4—111no—
909C4×C22⋊C4—111no—
910C4×C22⋊C4—111no—
911C4×C22⋊C4C2×D1111yescharacteristic, complemented
912C2×#95—111no—
913C2×#95—111no—
914C2×#95—111no—
915C2×#95C2×D1111yescharacteristic, complemented
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11#53814yes—
930C22×C11C22×#4111yescharacteristic
931C22×C11C22×#4111yescharacteristic
932C22×C11C22×#4111yescharacteristic
933C22×C11C2×H(5,𝔽2)11yescharacteristic
934C22×C11C2×H(5,𝔽2)11yescharacteristic
935C22×C11C2×H(5,𝔽2)11yescharacteristic
936C22×C11#58511yescharacteristic
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—416no—
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—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—88no—
966C2×D11#52914yes—
967C4×C11—22no—
968C4×C11—22no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978C4×C11—41no—
979C4×C11—41no—
980Dic11—22no—
981Dic11—22no—
982Dic11—22no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990Dic11—41no—
991Dic11—41no—
992C25—111no—
993C25—111no—
994C22×Q8—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—224no—
1004C22×D4—442no—
1005C22×D4—442no—
1006C22×D4C22×D1111yescharacteristic
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—111no—
1018C23×C4—224no—
1019C23×C4—442no—
1020C23×C4—442no—
1021C23×C4C22×D1111yescharacteristic
1022C23×C4C22×D1111yescharacteristic
1023C23×C4C22×D1111yescharacteristic
1024#126—442no—
1025#124—442no—
1026#123—442no—
1027#123—442no—
1028#123—442no—
1029C22⋊Q8—224no—
1030C22⋊Q8—442no—
1031#121—442no—
1032#121—442no—
1033#120—224no—
1034#120—224no—
1035C4×D4—224no—
1036C4×D4—442no—
1037C4×D4—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—111no—
1056C2×C4⋊C4C22×D1111yescharacteristic
1057C2×C4⋊C4C22×D1111yescharacteristic
1058C2×C4⋊C4C22×D1111yescharacteristic
1059C2×C4⋊C4C22×D1111yescharacteristic
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
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—224no—
1104C2×C22⋊C4—224no—
1105C2×C22⋊C4—224no—
1106C2×C22⋊C4—442no—
1107C2×C22⋊C4—442no—
1108C2×C22⋊C4C22×D1111yescharacteristic
1109C2×C22⋊C4C22×D1111yescharacteristic
1110C2×C22⋊C4C22×D1111yescharacteristic
1111C2×C22⋊C4C22×D1111yescharacteristic
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4C22×D1111yescharacteristic
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—111no—
1125C2×C42—111no—
1126C2×C42—442no—
1127C2×C42—442no—
1128C2×C42C22×D1111yescharacteristic
1129C2×C42C22×D1111yescharacteristic
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#95—111no—
1156#95—111no—
1157#95—111no—
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
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174C2×C11—24no—
1175C2×C11—81no—
1176C2×C11C2×#52911yescharacteristic
1177C2×C11C2×#53811yescharacteristic
1178C2×C11#345911yescharacteristic
1179C2×C11#349011yescharacteristic
1180C2×C11#349411yescharacteristic
1181C2×C11#351311yescharacteristic
1182C2×C11#351911yescharacteristic
1183D11—24no—
1184D11—42no—
1185D11—81no—
1186D11—81no—
1187C24—111no—
1188C24—111no—
1189C24—114no—
1190C24—111no—
1191C24—111no—
1192C24—222no—
1193C24—222no—
1194C24—222no—
1195C24—222no—
1196C24—222no—
1197C24—222no—
1198C24—222no—
1199C24—441no—
1200C24—441no—
1201C24—441no—
1202C24—441no—
1203C24—441no—
1204C24—441no—
1205C24C23×D1111yescharacteristic
1206C24C23×D1111yescharacteristic
1207C2×Q8—222no—
1208C2×Q8—441no—
1209C2×Q8—441no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—222no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C2×D4—222no—
1222C2×D4—222no—
1223C2×D4—222no—
1224C2×D4—222no—
1225C2×D4—222no—
1226C2×D4—222no—
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—4416no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—111no—
1250C22×C4—114no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—111no—
1254C22×C4—111no—
1255C22×C4—111no—
1256C22×C4—111no—
1257C22×C4—111no—
1258C22×C4—111no—
1259C22×C4—111no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—222no—
1276C22×C4—222no—
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—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—4416no—
1292C22×C4—441no—
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
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C22×C4C23×D1111yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—222no—
1311C4⋊C4—222no—
1312C4⋊C4—222no—
1313C4⋊C4—222no—
1314C4⋊C4—441no—
1315C4⋊C4—441no—
1316C4⋊C4—441no—
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—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—114no—
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—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
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—
1380C42—22no—
1381C42—41no—
1382C42—222no—
1383C42—222no—
1384C42—441no—
1385C42—441no—
1386C42—441no—
1387C42—441no—
1388C42—441no—
1389C42—441no—
1390C42—441no—
1391C11#3499811yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—112no—
1404C23—112no—
1405C23—112no—
1406C23—112no—
1407C23—228no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—228no—
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—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—444no—
1434C23—444no—
1435C23—444no—
1436C23—444no—
1437C23—444no—
1438C23—444no—
1439C23—444no—
1440C23—444no—
1441C23—882no—
1442C23—882no—
1443C23—882no—
1444C23—882no—
1445C23#41×D1112yes—
1446C23#6704212yes—
1447C23#6704212yes—
1448C23C24×D1111yescharacteristic
1449Q8—882no—
1450D4—44no—
1451D4—444no—
1452D4—444no—
1453D4—444no—
1454D4—444no—
1455D4—444no—
1456D4—444no—
1457D4—882no—
1458D4—882no—
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—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—112no—
1500C2×C4—112no—
1501C2×C4—112no—
1502C2×C4—228no—
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—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—444no—
1537C2×C4—444no—
1538C2×C4—444no—
1539C2×C4—444no—
1540C2×C4—444no—
1541C2×C4—444no—
1542C2×C4—444no—
1543C2×C4—882no—
1544C2×C4—882no—
1545C2×C4—882no—
1546C2×C4#41×D1112yes—
1547C2×C4#41×D1112yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—114no—
1562C22—222no—
1563C22—222no—
1564C22—222no—
1565C22—222no—
1566C22—222no—
1567C22—222no—
1568C22—222no—
1569C22—222no—
1570C22—222no—
1571C22—4416no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—441no—
1581C22—441no—
1582C22—441no—
1583C22—441no—
1584C22—441no—
1585C22—441no—
1586C22—441no—
1587C22—441no—
1588C22—441no—
1589C22—441no—
1590C22—888no—
1591C22#1062323514yes—
1592C22C2×#41×D1111yescharacteristic
1593C22C2×#41×D1111yescharacteristic
1594C22C2×#41×D1111yescharacteristic
1595C22C2×#6704211yescharacteristic
1596C22C2×#6704211yescharacteristic
1597C22D11×H(5,𝔽2)11yescharacteristic
1598C22#1062345511yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—222no—
1613C4—222no—
1614C4—222no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C4—441no—
1621C4—441no—
1622C4—441no—
1623C4—441no—
1624C2—24no—
1625C2—81no—
1626C2—224no—
1627C2—442no—
1628C2—881no—
1629C2—881no—
1630C2D11×#52911yescharacteristic
1631C2C2×#1062323511yescharacteristic
1632C2#1308202711yescharacteristic
1633C2#1308230011yescharacteristic
1634C2#1308234711yescharacteristic
1635C2#1308254311yescharacteristic
1636C2#1308264411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2510C2
prime radical#13071989C2
hypercenter#2510D11
hypocenterC11#34998
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2510

Complements

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

NH ≅ G/Ntype
1. #13076948C2semidirect
2. #13076937C2semidirect
3. #13076933C2semidirect
4. #13076913C2semidirect
5. #13074684C2semidirect
6. #13074616C2semidirect
7. #13074609C2semidirect
8. #13074603C2semidirect
9. #13073279C2semidirect
10. #13073278C2semidirect
11. #13073171C2semidirect
12. #13073110C2semidirect
13. #13072936C2semidirect
14. #13072863C2semidirect
15. #13072735C2semidirect
16. #13072664C2semidirect
17. #13072558C2semidirect
18. #13072366C2semidirect
19. #13072284C2semidirect
20. #13072169C2semidirect
21. #13072010C2semidirect
23. #13071942C2semidirect
24. #13071343C2semidirect
25. #13071278C2semidirect
26. #13071247C2semidirect
27. #13071210C2semidirect
28. C4×#66935C2semidirect
29. D11×#386C2semidirect
30. C2×#10622279C2semidirect
31. C11×#2510C2semidirect
37. C2×C4×C22⋊D11C22semidirect
40. C22×C4×Dic11C22semidirect
41. C22×C4×Dic11C22semidirect
42. C2×#66951C22semidirect
45. C2×#66939C22semidirect
46. C2×#66938C22semidirect
52. C2×#66931C22semidirect
54. C2×C4×D44C22semidirect
55. C11×#401C22semidirect
56. C11×#400C22semidirect
57. C11×#397C22semidirect
58. C11×#397C22semidirect
59. C11×#388C22semidirect
60. C11×#388C22semidirect
61. C11×#387C22semidirect
65. C11×#385C22semidirect
66. C11×#383C22semidirect
67. C11×#380C22semidirect
68. C4×C11×C22⋊C4C22semidirect
69. C2×C11×#95C22semidirect
73. #10622826C22semidirect
74. #10622823C22semidirect
75. C2×C11⋊#95C22semidirect
76. #10622607C22semidirect
77. #10622605C22semidirect
78. #10622604C22semidirect
79. #10622604C22semidirect
80. #10622603C22semidirect
82. #10622601C22semidirect
83. #10622601C22semidirect
86. #10622598C22semidirect
87. #10622598C22semidirect
88. #10622594C22semidirect
89. #10622591C22semidirect
94. #10622572C22semidirect
97. #10622571C22semidirect
98. #10622570C22semidirect
101. #10622569C22semidirect
106. #10622564C22semidirect
107. #10622564C22semidirect
108. #10622564C22semidirect
109. #10622564C22semidirect
110. #10622563C22semidirect
111. #10622561C22semidirect
112. #10622559C22semidirect
113. #10622558C22semidirect
114. #10622558C22semidirect
115. #10622557C22semidirect
116. #10622556C22semidirect
117. #10622553C22semidirect
118. #10622553C22semidirect
120. C4×(C2×D11)⋊C4C22semidirect
121. #10622549C22semidirect
122. #10622542C22semidirect
123. #10622289C22semidirect
124. #10622288C22semidirect
125. #10622288C22semidirect
126. #10622288C22semidirect
127. #10622287C22semidirect
128. #10622287C22semidirect
129. #10622287C22semidirect
130. #10622286C22semidirect
131. #10622286C22semidirect
135. #10622285C22semidirect
137. #10622283C22semidirect
138. #10622283C22semidirect
139. #10622283C22semidirect
140. #10622283C22semidirect
141. #10622283C22semidirect
142. #10622283C22semidirect
143. #10622282C22semidirect
144. #10622282C22semidirect
145. #10622282C22semidirect
151. #10622281C22semidirect
153. #10622280C22semidirect
158. #10622279C22semidirect
159. #10622279C22semidirect
160. #10622279C22semidirect
161. #10622279C22semidirect
168. #10622278C22semidirect
169. #10622278C22semidirect
170. #10622277C22semidirect
173. #10622273C22semidirect
174. #10622272C22semidirect
175. #10622272C22semidirect
176. #10622270C22semidirect
177. #10622268C22semidirect
178. #10622267C22semidirect
179. #10622267C22semidirect
180. #10622267C22semidirect
181. #10622265C22semidirect
182. #10622265C22semidirect
183. #10622264C22semidirect
184. #10622263C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
585. #2510D11semidirect
784. #401C2×D11semidirect
788. #400C2×D11semidirect
797. #397C2×D11semidirect
798. #397C2×D11semidirect
843. #388C2×D11semidirect
844. #388C2×D11semidirect
853. #387C2×D11semidirect
885. #385C2×D11semidirect
887. #383C2×D11semidirect
896. #380C2×D11semidirect
911. C4×C22⋊C4C2×D11semidirect
915. C2×#95C2×D11semidirect
1391. C11#34998semidirect

Maximal subgroups

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

subgroupindex
#130769482
#130769372
#130769332
#130769132
#130746842
#130746162
#130746092
#130746032
#130732792
#130732782
#130731712
#130731102
#130729362
#130728632
#130727352
#130726642
#130725582
#130723662
#130722842
#130721692
#130720102
#130719892
#130719422
#130713432
#130712782
#130712472
#130712102
C4×#669352
D11×#3862
C2×#106222792
C11×#25102
#3499811