Finite Group Databasebeta

← #14919898

Subgroups — #14919898

Order 2816.

2216 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623198C211yesmaximal, characteristic
2#13071799C211yesmaximal, characteristic, complemented
3#13071789C211yesmaximal, characteristic, complemented
4#13071789C211yesmaximal, characteristic, complemented
5#13071752C211yesmaximal, characteristic, complemented
6#13071748C211yesmaximal, characteristic, complemented
7#13071661C211yesmaximal, characteristic, complemented
8#13071660C211yesmaximal, characteristic, complemented
9#13071646C211yesmaximal, characteristic, complemented
10#13071642C211yesmaximal, characteristic, complemented
11#13071632C211yesmaximal, characteristic, complemented
12#13071628C211yesmaximal, characteristic, complemented
13#13071621C211yesmaximal, characteristic, complemented
14#13071618C211yesmaximal, characteristic, complemented
15#13071611C211yesmaximal, characteristic, complemented
16#13071606C211yesmaximal, characteristic, complemented
17#13071408C211yesmaximal, characteristic, complemented
18#13071399C211yesmaximal, characteristic, complemented
19#13071378C211yesmaximal, characteristic, complemented
20#13071377C211yesmaximal, characteristic, complemented
21#13071370C211yesmaximal, characteristic, complemented
22#13071369C211yesmaximal, characteristic, complemented
23#13071347C211yesmaximal, characteristic, complemented
24#13071345C211yesmaximal, characteristic, complemented
25#13071308C211yesmaximal, characteristic, complemented
26#13071306C211yesmaximal, characteristic, complemented
27#13071280C211yesmaximal, characteristic, complemented
28#13071175C211yesmaximal, characteristic, complemented
29#13071157C211yesmaximal, characteristic, complemented
30C4×#66938C211yesmaximal, characteristic, complemented
31C11×#2322C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C22×C11×C4⋊C4C2211yescharacteristic
35C2×#66992C2211yescharacteristic
36C2×#66991C2211yescharacteristic
37C2×#66983C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×#66977C2211yescharacteristic
42#10623198C4116yescomplemented
43C2×#66950C2211yescharacteristic
44C2×#66949C2211yescharacteristic
45C2×#66947C2211yescharacteristic
46C2×#66946C2211yescharacteristic
47C2×#66945C2211yescharacteristic
48C2×C4⋊C4×D11C2211yescharacteristic
49C2×#66943C2211yescharacteristic
50C2×#66940C2211yescharacteristic
51C2×#66939C2211yescharacteristic
52C2×#66938C2211yescharacteristic
53C2×#66938C2211yescharacteristic
54C2×#66937C2211yescharacteristic
55C2×#66936C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×#66931C2211yescharacteristic
58C2×#66930C2211yescharacteristic
59C2×C4×Dic22C2211yescharacteristic
60C11×#389C2211yescharacteristic
61C11×#389C2211yescharacteristic
62C11×#388C2211yescharacteristic
63C11×#388C2211yescharacteristic
64C11×#387C2211yescharacteristic
65C11×#387C2211yescharacteristic
66C11×#386C2211yescharacteristic
67C11×#385C2211yescharacteristic
68C11×#385C2211yescharacteristic
69C11×#385C2211yescharacteristic
70C11×#381C2211yescharacteristic
71C4×C11×C22⋊C4C2211yescharacteristic
72#10622834C2211yescharacteristic
73#10622833C2211yescharacteristic
74#10622826C2211yescharacteristic
75#10622826C2211yescharacteristic
76#10622826C2211yescharacteristic
77#10622823C2211yescharacteristic
78#10622823C2211yescharacteristic
79#10622823C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic
81C4×C22⋊Dic11C2211yescharacteristic
82C4×C22⋊Dic11C2211yescharacteristic
83C4×C22⋊Dic11C2211yescharacteristic
84C2×C11⋊#95C2211yescharacteristic
85#10622603C2211yescharacteristic
86#10622603C2211yescharacteristic
87#10622603C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622602C2211yescharacteristic
93#10622601C2211yescharacteristic
94#10622594C2211yescharacteristic
95#10622594C2211yescharacteristic
96#10622591C2211yescharacteristic
97#10622591C2211yescharacteristic
98#10622591C2211yescharacteristic
99#10622590C2211yescharacteristic
100C4⋊C4×Dic11C2211yescharacteristic
101C4⋊C4×Dic11C2211yescharacteristic
102C4⋊C4×Dic11C2211yescharacteristic
103C4⋊C4×Dic11C2211yescharacteristic
104C4⋊C4×Dic11C2211yescharacteristic
105C4⋊C4×Dic11C2211yescharacteristic
106#10622587C2211yescharacteristic
107#10622587C2211yescharacteristic
108#10622586C2211yescharacteristic
109#10622586C2211yescharacteristic
110#10622585C2211yescharacteristic
111#10622585C2211yescharacteristic
112#10622585C2211yescharacteristic
113#10622571C2211yescharacteristic
114#10622570C2211yescharacteristic
115#10622570C2211yescharacteristic
116#10622570C2211yescharacteristic
117#10622570C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622564C2211yescharacteristic
123#10622564C2211yescharacteristic
124#10622564C2211yescharacteristic
125#10622564C2211yescharacteristic
126#10622558C2211yescharacteristic
127#10622558C2211yescharacteristic
128#10622558C2211yescharacteristic
129#10622558C2211yescharacteristic
130#10622557C2211yescharacteristic
131#10622557C2211yescharacteristic
132#10622555C2211yescharacteristic
133C22⋊C4×Dic11C2211yescharacteristic
134C22⋊C4×Dic11C2211yescharacteristic
135C22⋊C4×Dic11C2211yescharacteristic
136C22⋊C4×Dic11C2211yescharacteristic
137#10622553C2211yescharacteristic
138C4×(C2×D11)⋊C4C2211yescharacteristic
139C4×(C2×D11)⋊C4C2211yescharacteristic
140C4×(C2×D11)⋊C4C2211yescharacteristic
141C4×(C2×D11)⋊C4C2211yescharacteristic
142C4×(C2×D11)⋊C4C2211yescharacteristic
143#10622546C2211yescharacteristic
144C4×Dic11⋊C4C2211yescharacteristic
145C42×Dic11C2211yescharacteristic
146#10622541C2211yescharacteristic
147#10622541C2211yescharacteristic
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622282C2211yescharacteristic
153#10622282C2211yescharacteristic
154#10622282C2211yescharacteristic
155#10622282C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622280C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622277C2211yescharacteristic
165D11×#95C2211yescharacteristic
166#10622268C2211yescharacteristic
167#10622267C2211yescharacteristic
168#10622267C2211yescharacteristic
169#10622267C2211yescharacteristic
170#10622267C2211yescharacteristic
171#10622266C2211yescharacteristic
172#10622266C2211yescharacteristic
173#10622266C2211yescharacteristic
174#10622266C2211yescharacteristic
175#10622265C2211yescharacteristic
176#10622265C2211yescharacteristic
177#10622265C2211yescharacteristic
178#10622263C2211yescharacteristic
179#10622263C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×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
199C22×D44C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×Dic22C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C11×#123C2×C418yescomplemented
209C4×D4×C11—42no—
210C2×C11×C4⋊C4—42no—
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241#66992C2×C418yescomplemented
242#66991C2×C418yescomplemented
243#66983C2×C418yescomplemented
244C4×C22⋊D11—42no—
245C4×C22⋊D11—42no—
246C4×C22⋊D11—42no—
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×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272#66977C2×C418yescomplemented
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309#66950C2×C418yescomplemented
310#66949C2×C418yescomplemented
311#66947C2×C418yescomplemented
312#66946—42no—
313#66945—42no—
314C4⋊C4×D11—42no—
315#66943C2×C418yescomplemented
316#66940—42no—
317#66939C2×C418yescomplemented
318#66938C2×C418yescomplemented
319#66938C2×C418yescomplemented
320#66937C2×C418yescomplemented
321#66936C2×C418yescomplemented
322(C22⋊D11)⋊C4—42no—
323#66931C2×C418yescomplemented
324#66930—42no—
325C4×Dic22—42no—
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
369C11⋊#95C2311yescharacteristic
370#34527—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C2×D4×C11—41no—
376C2×D4×C11—41no—
377C2×D4×C11C22×C414yes—
378C22×C4×C11—22no—
379C22×C4×C11—41no—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11—41no—
388C22×C4×C11—41no—
389C22×C4×C11C22×C414yes—
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C2×C22⋊D11—41no—
404C2×C22⋊D11—41no—
405C2×C22⋊D11—41no—
406C2×C22⋊D11—41no—
407C2×C22⋊D11—41no—
408C2×C22⋊D11—41no—
409C2×C22⋊D11—41no—
410C2×C22⋊D11—41no—
411C2×C22⋊D11C22×C414yes—
412C2×C22⋊D11C22×C414yes—
413C2×C22⋊D11C22×C414yes—
414C2×C22⋊D11C22×C414yes—
415C22×Dic11—22no—
416C22×Dic11—41no—
417C22×Dic11—41no—
418C22×Dic11—41no—
419C22×Dic11—41no—
420C22×Dic11C22×C414yes—
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C2×D44—41no—
436C2×D44—41no—
437C2×D44C22×C414yes—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—41no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11C22×C414yes—
455C2×C4×D11C22×C414yes—
456C2×Dic22—41no—
457C2×Dic22—41no—
458C2×Dic22—41no—
459C2×Dic22—41no—
460C2×Dic22C22×C414yes—
461C2×Dic22C22×C414yes—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—22no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4C22×C414yes—
470C11×C4⋊C4C22×C414yes—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4C22×C414yes—
477C11×C22⋊C4C22×C414yes—
478C11×C22⋊C4C22×C414yes—
479C42×C11—41no—
480C42×C11—41no—
481C42×C11—41no—
482C22⋊Dic11—22no—
483C22⋊Dic11—22no—
484C22⋊Dic11—22no—
485C22⋊Dic11—41no—
486C22⋊Dic11—41no—
487C22⋊Dic11—41no—
488C22⋊Dic11—41no—
489C22⋊Dic11C22×C414yes—
490C22⋊Dic11C22×C414yes—
491C22⋊Dic11C22×C414yes—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—41no—
497(C2×D11)⋊C4—41no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4C22×C414yes—
505(C2×D11)⋊C4C22×C414yes—
506(C2×D11)⋊C4C22×C414yes—
507(C2×D11)⋊C4C22×C414yes—
508(C2×D11)⋊C4C22×C414yes—
509(C2×D11)⋊C4C22×C414yes—
510C4⋊Dic11—22no—
511C4⋊Dic11—41no—
512C4⋊Dic11—41no—
513C4⋊Dic11C22×C414yes—
514C4⋊Dic11C22×C414yes—
515C4⋊Dic11C22×C414yes—
516C4⋊Dic11C22×C414yes—
517Dic11⋊C4—22no—
518Dic11⋊C4—22no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4C22×C414yes—
530Dic11⋊C4C22×C414yes—
531Dic11⋊C4C22×C414yes—
532Dic11⋊C4C22×C414yes—
533C4×Dic11—22no—
534C4×Dic11—22no—
535C4×Dic11—22no—
536C4×Dic11—22no—
537C4×Dic11—22no—
538C4×Dic11—41no—
539C4×Dic11—41no—
540C4×Dic11—41no—
541C4×Dic11—41no—
542C4×Dic11—41no—
543C4×Dic11—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549C4×Dic11—41no—
550C4×Dic11—41no—
551C4×Dic11—41no—
552C4×Dic11C22×C414yes—
553C2×#562—111no—
554#2382—111no—
555#2379—111no—
556#2379—111no—
557#2374—111no—
558#2374—111no—
559#2364—111no—
560#2364—111no—
561#2362—111no—
562#2362—111no—
563#2361—111no—
564#2361—111no—
565#2360—111no—
566#2360—111no—
567#2359—111no—
568#2359—111no—
569#2335—111no—
570#2335—111no—
571#2333—111no—
572#2333—111no—
573#2332—111no—
574#2332—111no—
575#2329—111no—
576#2329—111no—
577#2324—111no—
578#2324—111no—
579#2322—111no—
580#2322D1111yescharacteristic, complemented
581C4×#125—111no—
582C4×#124—111no—
583C4×#124—111no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11C23×C412yes—
597C23×C11C23×C412yes—
598C23×C11C2511yescharacteristic
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11C23×C412yes—
612C22×D11C23×C412yes—
613D4×C11—44no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—44no—
648C2×C4×C11—82no—
649C2×C4×C11—82no—
650C2×C4×C11—82no—
651C2×C4×C11C23×C412yes—
652C2×C4×C11C23×C412yes—
653C2×C4×C11C23×C412yes—
654C2×C4×C11C23×C412yes—
655C2×C4×C11C23×C412yes—
656C2×C4×C11H(5,𝔽2)12yes—
657C22⋊D11—44no—
658C22⋊D11—44no—
659C22⋊D11—44no—
660C22⋊D11—44no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—44no—
696C2×Dic11—82no—
697C2×Dic11C23×C412yes—
698C2×Dic11C23×C412yes—
699C2×Dic11C23×C412yes—
700C2×Dic11C23×C412yes—
701C2×Dic11C23×C412yes—
702C2×Dic11C23×C412yes—
703C2×Dic11H(5,𝔽2)12yes—
704C2×Dic112−1+412yes—
705D44—44no—
706C4×D11—44no—
707C4×D11—44no—
708C4×D11—82no—
709C4×D11—82no—
710C4×D11—82no—
711C4×D11—82no—
712Dic22—44no—
713Dic22—44no—
714#562—1116no—
715C2×#125—111no—
716C2×#124—111no—
717C2×#124—111no—
718C2×#123—111no—
719C2×#123—111no—
720C2×#123—111no—
721C2×#123C2×D1111yescharacteristic
722C2×C22⋊Q8—111no—
723C2×C22⋊Q8—111no—
724C2×C22⋊Q8—111no—
725C2×C22⋊Q8—111no—
726C2×#121—111no—
727C2×#121—111no—
728C2×#121—111no—
729C2×#121—111no—
730C2×C4×Q8—111no—
731C2×C4×Q8—111no—
732C2×C4×D4—111no—
733C2×C4×D4—111no—
734C2×C4×D4—111no—
735C2×C4×D4—111no—
736C2×C4×D4—111no—
737C2×C4×D4C2×D1111yescharacteristic
738C2×#117—111no—
739C2×#117—111no—
740C22×C4⋊C4—111no—
741C22×C4⋊C4C2×D1111yescharacteristic
742#391—111no—
743#391—111no—
744#391—111no—
745#391—111no—
746#391—111no—
747#391—111no—
748#390—111no—
749#390—111no—
750#390—111no—
751#390—111no—
752#390—111no—
753#390—111no—
754#389—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#389—111no—
760#389—111no—
761#389—111no—
762#389C2×D1111yescharacteristic
763#389C2×D1111yescharacteristic
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388C2×D1111yescharacteristic
787#388C2×D1111yescharacteristic
788#387—111no—
789#387—111no—
790#387—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—111no—
804#387—111no—
805#387—111no—
806#387C2×D1111yescharacteristic
807#387C2×D1111yescharacteristic
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—111no—
813#386—111no—
814#386—111no—
815#386—111no—
816#386—111no—
817#386—111no—
818#386—111no—
819#386C2×D1111yescharacteristic
820#385—111no—
821#385—111no—
822#385—111no—
823#385—111no—
824#385—111no—
825#385—111no—
826#385—111no—
827#385—111no—
828#385—111no—
829#385C2×D1111yescharacteristic
830#385C2×D1111yescharacteristic
831#385C2×D1111yescharacteristic
832#382—111no—
833#382—111no—
834#382—111no—
835#381—111no—
836#381C2×D1111yescharacteristic
837#380—111no—
838#380—111no—
839C4×C4⋊C4—111no—
840C4×C4⋊C4—111no—
841C4×C4⋊C4—111no—
842C4×C4⋊C4—111no—
843C4×C4⋊C4—111no—
844C4×C4⋊C4—111no—
845C4×C4⋊C4—111no—
846C4×C4⋊C4—111no—
847C4×C4⋊C4—111no—
848C4×C4⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4—111no—
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
853C4×C22⋊C4—111no—
854C4×C22⋊C4—111no—
855C4×C22⋊C4—111no—
856C4×C22⋊C4—111no—
857C4×C22⋊C4—111no—
858C4×C22⋊C4—111no—
859C4×C22⋊C4—111no—
860C4×C22⋊C4—111no—
861C4×C22⋊C4—111no—
862C4×C22⋊C4—111no—
863C4×C22⋊C4—111no—
864C4×C22⋊C4—111no—
865C4×C22⋊C4—111no—
866C4×C22⋊C4C2×D1111yescharacteristic
867C2×#95—111no—
868C2×#95—111no—
869C43—111no—
870C22×C11—22no—
871C22×C11—22no—
872C22×C11—22no—
873C22×C11—22no—
874C22×C11—22no—
875C22×C11—22no—
876C22×C11—41no—
877C22×C11—41no—
878C22×C11—41no—
879C22×C11—41no—
880C22×C11—41no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11—41no—
884C22×C11C24×C411yescharacteristic
885C22×C11C2×H(5,𝔽2)11yescharacteristic
886C22×C11C2×H(5,𝔽2)11yescharacteristic
887C22×C11C2×2−1+411yescharacteristic
888C22×C11#58511yescharacteristic
889C22×C11#58511yescharacteristic
890C22×C11#58511yescharacteristic
891C2×D11—22no—
892C2×D11—22no—
893C2×D11—22no—
894C2×D11—22no—
895C2×D11—22no—
896C2×D11—22no—
897C2×D11—41no—
898C2×D11—41no—
899C2×D11—41no—
900C2×D11—41no—
901C2×D11—41no—
902C2×D11—41no—
903C2×D11—41no—
904C2×D11—41no—
905C4×C11—22no—
906C4×C11—22no—
907C4×C11—22no—
908C4×C11—22no—
909C4×C11—22no—
910C4×C11—22no—
911C4×C11—41no—
912C4×C11—41no—
913C4×C11—41no—
914C4×C11—41no—
915C4×C11—41no—
916C4×C11—41no—
917C4×C11—41no—
918Dic11—22no—
919Dic11—22no—
920Dic11—22no—
921Dic11—22no—
922Dic11—22no—
923Dic11—22no—
924Dic11—22no—
925Dic11—22no—
926Dic11—41no—
927Dic11—41no—
928Dic11—41no—
929Dic11—41no—
930Dic11—41no—
931Dic11—41no—
932C22×Q8—111no—
933C22×Q8—111no—
934C22×D4—111no—
935C22×D4—111no—
936C22×D4—111no—
937C22×D4—111no—
938C22×D4—111no—
939C22×D4C22×D1111yescharacteristic
940C23×C4—111no—
941C23×C4—111no—
942C23×C4—111no—
943C23×C4—111no—
944C23×C4—111no—
945C23×C4—111no—
946C23×C4—111no—
947C23×C4—111no—
948C23×C4C22×D1111yescharacteristic
949C23×C4C22×D1111yescharacteristic
950C23×C4C22×D1111yescharacteristic
951C23×C4C22×D1111yescharacteristic
952#125—118no—
953#124—118no—
954#124—118no—
955#123—118no—
956#123—118no—
957#123—118no—
958#123C4×D1118yescomplemented
959C22⋊Q8—118no—
960C22⋊Q8—118no—
961C22⋊Q8—118no—
962C22⋊Q8—118no—
963#121—118no—
964#121—118no—
965#121—118no—
966#121—118no—
967C4×Q8—442no—
968C4×Q8—442no—
969C4×D4—42no—
970C4×D4—442no—
971C4×D4—442no—
972C4×D4—442no—
973C4×D4—442no—
974C4×D4—442no—
975#117—442no—
976#117—442no—
977C2×C4⋊C4—42no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—442no—
1002C2×C4⋊C4C22×D1111yescharacteristic
1003C2×C4⋊C4C22×D1111yescharacteristic
1004C2×C4⋊C4C22×D1111yescharacteristic
1005C2×C4⋊C4C22×D1111yescharacteristic
1006C2×C4⋊C4C22×D1111yescharacteristic
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C4⋊C4C22×D1111yescharacteristic
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4C22×D1111yescharacteristic
1040C2×C22⋊C4C22×D1111yescharacteristic
1041C2×C22⋊C4C22×D1111yescharacteristic
1042C2×C22⋊C4C22×D1111yescharacteristic
1043C2×C22⋊C4C22×D1111yescharacteristic
1044C2×C22⋊C4C22×D1111yescharacteristic
1045C2×C22⋊C4C22×D1111yescharacteristic
1046C2×C22⋊C4C22×D1111yescharacteristic
1047C2×C42—111no—
1048C2×C42—111no—
1049C2×C42—111no—
1050C2×C42—111no—
1051C2×C42—111no—
1052C2×C42—111no—
1053C2×C42—111no—
1054C2×C42—111no—
1055C2×C42—111no—
1056C2×C42—111no—
1057C2×C42—111no—
1058C2×C42—111no—
1059C2×C42—111no—
1060C2×C42—111no—
1061C2×C42—111no—
1062C2×C42—111no—
1063C2×C42—111no—
1064C2×C42—111no—
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42C22×D1111yescharacteristic
1068C2×C42C22×D1111yescharacteristic
1069C2×C42C22×D1111yescharacteristic
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95C22×D1111yescharacteristic
1105#95C22×D1111yescharacteristic
1106#95C22×D1111yescharacteristic
1107#95C22×D1111yescharacteristic
1108#95C22×D1111yescharacteristic
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114C2×C11—42no—
1115C2×C11—42no—
1116C2×C11C4×H(5,𝔽2)11yescharacteristic
1117C2×C11C4×H(5,𝔽2)11yescharacteristic
1118C2×C11C4×2−1+411yescharacteristic
1119C2×C11#355811yescharacteristic
1120C2×C11#355911yescharacteristic
1121C2×C11#356111yescharacteristic
1122C2×C11#356711yescharacteristic
1123D11—42no—
1124D11—42no—
1125C24—111no—
1126C24—111no—
1127C24C23×D1111yescharacteristic
1128C24C23×D1111yescharacteristic
1129C2×Q8—114no—
1130C2×Q8—114no—
1131C2×Q8—441no—
1132C2×Q8—441no—
1133C2×Q8—441no—
1134C2×Q8—441no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—114no—
1138C2×D4—114no—
1139C2×D4—114no—
1140C2×D4—114no—
1141C2×D4—114no—
1142C2×D4—441no—
1143C2×D4—441no—
1144C2×D4—441no—
1145C2×D4—441no—
1146C2×D4—441no—
1147C2×D4—441no—
1148C2×D4—441no—
1149C2×D4—441no—
1150C2×D4—441no—
1151C2×D4—441no—
1152C2×D4C2×C4×D1114yes—
1153C22×C4—22no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—111no—
1165C22×C4—111no—
1166C22×C4—111no—
1167C22×C4—111no—
1168C22×C4—111no—
1169C22×C4—111no—
1170C22×C4—111no—
1171C22×C4—111no—
1172C22×C4—114no—
1173C22×C4—114no—
1174C22×C4—114no—
1175C22×C4—111no—
1176C22×C4—111no—
1177C22×C4—111no—
1178C22×C4—111no—
1179C22×C4—111no—
1180C22×C4—111no—
1181C22×C4—222no—
1182C22×C4—222no—
1183C22×C4—222no—
1184C22×C4—441no—
1185C22×C4—441no—
1186C22×C4—441no—
1187C22×C4—441no—
1188C22×C4—441no—
1189C22×C4—441no—
1190C22×C4—441no—
1191C22×C4—441no—
1192C22×C4—441no—
1193C22×C4—441no—
1194C22×C4—441no—
1195C22×C4—441no—
1196C22×C4—441no—
1197C22×C4—441no—
1198C22×C4—441no—
1199C22×C4—441no—
1200C22×C4—441no—
1201C22×C4—441no—
1202C22×C4C2×C4×D1114yes—
1203C22×C4C23×D1111yescharacteristic
1204C22×C4C23×D1111yescharacteristic
1205C22×C4C23×D1111yescharacteristic
1206C22×C4C23×D1111yescharacteristic
1207C22×C4C23×D1111yescharacteristic
1208C22×C4C23×D1111yescharacteristic
1209C22×C4C23×D1111yescharacteristic
1210C22×C4C23×D1111yescharacteristic
1211C22×C4C23×D1111yescharacteristic
1212C22×C4C23×D1111yescharacteristic
1213C22×C4C23×D1111yescharacteristic
1214C22×C4C23×D1111yescharacteristic
1215C22×C4C23×D1111yescharacteristic
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—114no—
1224C4⋊C4—114no—
1225C4⋊C4—114no—
1226C4⋊C4—114no—
1227C4⋊C4—114no—
1228C4⋊C4—114no—
1229C4⋊C4—114no—
1230C4⋊C4—114no—
1231C4⋊C4—222no—
1232C4⋊C4—222no—
1233C4⋊C4—222no—
1234C4⋊C4—441no—
1235C4⋊C4—441no—
1236C4⋊C4—441no—
1237C4⋊C4—441no—
1238C4⋊C4—441no—
1239C4⋊C4—441no—
1240C4⋊C4—441no—
1241C4⋊C4—441no—
1242C4⋊C4—441no—
1243C4⋊C4—441no—
1244C4⋊C4—441no—
1245C4⋊C4—441no—
1246C4⋊C4C2×C4×D1114yes—
1247C4⋊C4C2×C4×D1114yes—
1248C22⋊C4—22no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—114no—
1254C22⋊C4—114no—
1255C22⋊C4—114no—
1256C22⋊C4—114no—
1257C22⋊C4—114no—
1258C22⋊C4—114no—
1259C22⋊C4—114no—
1260C22⋊C4—114no—
1261C22⋊C4—114no—
1262C22⋊C4—222no—
1263C22⋊C4—222no—
1264C22⋊C4—222no—
1265C22⋊C4—222no—
1266C22⋊C4—222no—
1267C22⋊C4—222no—
1268C22⋊C4—222no—
1269C22⋊C4—441no—
1270C22⋊C4—441no—
1271C22⋊C4—441no—
1272C22⋊C4—441no—
1273C22⋊C4—441no—
1274C22⋊C4—441no—
1275C22⋊C4—441no—
1276C22⋊C4—441no—
1277C22⋊C4—441no—
1278C22⋊C4—441no—
1279C22⋊C4—441no—
1280C22⋊C4—441no—
1281C22⋊C4C2×C4×D1114yes—
1282C22⋊C4C2×C4×D1114yes—
1283C22⋊C4C2×C4×D1114yes—
1284C42—41no—
1285C42—41no—
1286C42—41no—
1287C42—114no—
1288C42—222no—
1289C42—222no—
1290C42—222no—
1291C42—222no—
1292C42—222no—
1293C42—441no—
1294C42—441no—
1295C42—441no—
1296C42—441no—
1297C42—441no—
1298C42—441no—
1299C42—441no—
1300C42—441no—
1301C42—441no—
1302C42—441no—
1303C42—441no—
1304C42—441no—
1305C42—441no—
1306C42—441no—
1307C11#3452711yescharacteristic, complemented, Sylow
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—112no—
1321C23—112no—
1322C23—221no—
1323C23—221no—
1324C23—221no—
1325C23—221no—
1326C23—221no—
1327C23—221no—
1328C23—221no—
1329C23—221no—
1330C23—221no—
1331C23—221no—
1332C23—221no—
1333C23—221no—
1334C23C22×C4×D1112yes—
1335C23C22×C4×D1112yes—
1336C23C24×D1111yescharacteristic
1337Q8—444no—
1338Q8—444no—
1339D4—44no—
1340D4—444no—
1341D4—444no—
1342D4—444no—
1343D4—444no—
1344D4—444no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—44no—
1379C2×C4—82no—
1380C2×C4—82no—
1381C2×C4—82no—
1382C2×C4—112no—
1383C2×C4—112no—
1384C2×C4—112no—
1385C2×C4—112no—
1386C2×C4—112no—
1387C2×C4—112no—
1388C2×C4—112no—
1389C2×C4—112no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—444no—
1425C2×C4—444no—
1426C2×C4—444no—
1427C2×C4—882no—
1428C2×C4—882no—
1429C2×C4—882no—
1430C2×C4—882no—
1431C2×C4—882no—
1432C2×C4C22×C4×D1112yes—
1433C2×C4C22×C4×D1112yes—
1434C2×C4C22×C4×D1112yes—
1435C2×C4C22×C4×D1112yes—
1436C2×C4C22×C4×D1112yes—
1437C2×C4#6703712yes—
1438C22—22no—
1439C22—22no—
1440C22—22no—
1441C22—22no—
1442C22—22no—
1443C22—22no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—222no—
1453C22—222no—
1454C22—222no—
1455C22—222no—
1456C22—222no—
1457C22—222no—
1458C22—441no—
1459C22—441no—
1460C22—441no—
1461C22—441no—
1462C22—441no—
1463C22—441no—
1464C22—441no—
1465C22—441no—
1466C22C23×C4×D1111yescharacteristic
1467C22C2×#6703711yescharacteristic
1468C22#1062345311yescharacteristic
1469C22D11×H(5,𝔽2)11yescharacteristic
1470C22#1062345511yescharacteristic
1471C22D11×2−1+411yescharacteristic
1472C22#1062345711yescharacteristic
1473C4—22no—
1474C4—22no—
1475C4—22no—
1476C4—22no—
1477C4—22no—
1478C4—22no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—222no—
1487C4—222no—
1488C4—222no—
1489C4—222no—
1490C4—222no—
1491C4—222no—
1492C4—222no—
1493C4—222no—
1494C4—441no—
1495C4—441no—
1496C4—441no—
1497C4—441no—
1498C4—441no—
1499C4—441no—
1500C2—42no—
1501C2—42no—
1502C2—442no—
1503C2—442no—
1504C2C4×#6703711yescharacteristic
1505C2#1308182211yescharacteristic
1506C2#1308182711yescharacteristic
1507C2#1308312811yescharacteristic
1508C2#1308314211yescharacteristic
1509C2#1308317711yescharacteristic
1510C2#1308330211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2322C2
socle, cosocleC23×C11C25
prime radicalC2×#10623198C2
hypercenter#2322D11
hypocenterC11#34527
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2322

Complements

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

NH ≅ G/Ntype
2. #13071799C2semidirect
3. #13071789C2semidirect
4. #13071789C2semidirect
5. #13071752C2semidirect
6. #13071748C2semidirect
7. #13071661C2semidirect
8. #13071660C2semidirect
9. #13071646C2semidirect
10. #13071642C2semidirect
11. #13071632C2semidirect
12. #13071628C2semidirect
13. #13071621C2semidirect
14. #13071618C2semidirect
15. #13071611C2semidirect
16. #13071606C2semidirect
17. #13071408C2semidirect
18. #13071399C2semidirect
19. #13071378C2semidirect
20. #13071377C2semidirect
21. #13071370C2semidirect
22. #13071369C2semidirect
23. #13071347C2semidirect
24. #13071345C2semidirect
25. #13071308C2semidirect
26. #13071306C2semidirect
27. #13071280C2semidirect
28. #13071175C2semidirect
29. #13071157C2semidirect
30. C4×#66938C2semidirect
31. C11×#2322C2semidirect
42. #10623198C4semidirect
208. C11×#123C2×C4semidirect
241. #66992C2×C4semidirect
242. #66991C2×C4semidirect
243. #66983C2×C4semidirect
272. #66977C2×C4semidirect
309. #66950C2×C4semidirect
310. #66949C2×C4semidirect
311. #66947C2×C4semidirect
315. #66943C2×C4semidirect
317. #66939C2×C4semidirect
318. #66938C2×C4semidirect
319. #66938C2×C4semidirect
320. #66937C2×C4semidirect
321. #66936C2×C4semidirect
323. #66931C2×C4semidirect
580. #2322D11semidirect
958. #123C4×D11semidirect
1307. C11#34527semidirect

Maximal subgroups

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

subgroupindex
C2×#106231982
#130717992
#130717892
#130717522
#130717482
#130716612
#130716602
#130716462
#130716422
#130716322
#130716282
#130716212
#130716182
#130716112
#130716062
#130714082
#130713992
#130713782
#130713772
#130713702
#130713692
#130713472
#130713452
#130713082
#130713062
#130712802
#130711752
#130711572
C4×#669382
C11×#23222
#3452711