Finite Group Databasebeta

← #14917773

Subgroups — #14917773

Order 2816.

2278 conjugacy classes of subgroups.

The subgroup lattice has 1468 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623159C211yesmaximal, characteristic
2#13071782C211yesmaximal, characteristic, complemented
3#13071780C211yesmaximal, characteristic, complemented
4#13071765C211yesmaximal, characteristic, complemented
5#13071763C211yesmaximal, characteristic, complemented
6#13071750C211yesmaximal, characteristic, complemented
7#13071745C211yesmaximal, characteristic, complemented
8#13071698C211yesmaximal, characteristic, complemented
9#13071688C211yesmaximal, characteristic, complemented
10#13071684C211yesmaximal, characteristic, complemented
11#13071675C211yesmaximal, characteristic, complemented
12#13071671C211yesmaximal, characteristic, complemented
13#13071456C211yesmaximal, characteristic
14#13071450C211yesmaximal, characteristic, complemented
15#13071450C211yesmaximal, characteristic, complemented
16#13071443C211yesmaximal, characteristic
17#13071408C211yesmaximal, characteristic, complemented
18#13071405C211yesmaximal, characteristic, complemented
19#13071401C211yesmaximal, characteristic, complemented
20#13071400C211yesmaximal, characteristic, complemented
21#13071372C211yesmaximal, characteristic, complemented
22#13071371C211yesmaximal, characteristic, complemented
23#13071349C211yesmaximal, characteristic, complemented
24#13071348C211yesmaximal, characteristic, complemented
25#13071331C211yesmaximal, characteristic, complemented
26#13071322C211yesmaximal, characteristic, complemented
27#13071222C211yesmaximal, characteristic, complemented
28C4×#66941C211yesmaximal, characteristic, complemented
29C4×#66938C211yesmaximal, characteristic, complemented
30#13071108C211yesmaximal, characteristic, complemented
31C11×#2368C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C22×#4339C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×C4×C22⋊D11C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C2×#66977C2211yescharacteristic
39#10623159C4116yescomplemented
40C2×#66950C2211yescharacteristic
41C2×#66947C2211yescharacteristic
42C2×#66947C2211yescharacteristic
43C2×#66945C2211yescharacteristic
44C2×#66941C2211yescharacteristic
45C2×#66941C2211yescharacteristic
46C2×#66940C2211yescharacteristic
47C2×#66940C2211yescharacteristic
48C2×#66938C2211yescharacteristic
49C2×#66938C2211yescharacteristic
50C2×#66936C2211yescharacteristic
51C2×#66936C2211yescharacteristic
52C2×C4×Dic22C2211yescharacteristic
53C2×C4×Dic22C2211yescharacteristic
54C2×C4×Dic22C2211yescharacteristic
55C2×C4×Dic22C2211yescharacteristic
56C11×#391C2211yescharacteristic
57C11×#391C2211yescharacteristic
58C11×#387C2211yescharacteristic
59C11×#387C2211yescharacteristic
60C11×#387C2211yescharacteristic
61C11×#387C2211yescharacteristic
62C11×#385C2211yescharacteristic
63C11×#385C2211yescharacteristic
64C4×C11×C4⋊C4C2211yescharacteristic
65C4×C11×C4⋊C4C2211yescharacteristic
66C4×C11×C22⋊C4C2211yescharacteristic
67C4×C11×C22⋊C4C2211yescharacteristic
68C4×C11×C22⋊C4C2211yescharacteristic
69C2×C11×#95C2211yescharacteristic
70#10622843C2211yescharacteristic
71#10622843C2211yescharacteristic
72#10622826C2211yescharacteristic
73#10622826C2211yescharacteristic
74#10622825C2211yescharacteristic
75#10622824C2211yescharacteristic
76#10622823C2211yescharacteristic
77#10622823C2211yescharacteristic
78C4×C22⋊Dic11C2211yescharacteristic
79C4×C22⋊Dic11C2211yescharacteristic
80#10622603C2211yescharacteristic
81#10622603C2211yescharacteristic
82#10622603C2211yescharacteristic
83#10622603C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622600C2211yescharacteristic
87#10622600C2211yescharacteristic
88#10622598C2211yescharacteristic
89#10622598C2211yescharacteristic
90#10622594C2211yescharacteristic
91#10622594C2211yescharacteristic
92#10622594C2211yescharacteristic
93#10622594C2211yescharacteristic
94#10622591C2211yescharacteristic
95#10622589C2211yescharacteristic
96C4⋊C4×Dic11C2211yescharacteristic
97C4⋊C4×Dic11C2211yescharacteristic
98#10622586C2211yescharacteristic
99#10622585C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622564C2211yescharacteristic
105#10622564C2211yescharacteristic
106#10622564C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622558C2211yescharacteristic
109#10622558C2211yescharacteristic
110#10622557C2211yescharacteristic
111#10622557C2211yescharacteristic
112#10622553C2211yescharacteristic
113#10622553C2211yescharacteristic
114#10622553C2211yescharacteristic
115#10622553C2211yescharacteristic
116#10622552C2211yescharacteristic
117#10622552C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×C4⋊Dic11C2211yescharacteristic
123#10622546C2211yescharacteristic
124#10622546C2211yescharacteristic
125#10622546C2211yescharacteristic
126C4×Dic11⋊C4C2211yescharacteristic
127C4×Dic11⋊C4C2211yescharacteristic
128C4×Dic11⋊C4C2211yescharacteristic
129C4×Dic11⋊C4C2211yescharacteristic
130C42×Dic11C2211yescharacteristic
131#10622541C2211yescharacteristic
132#10622283C2211yescharacteristic
133#10622283C2211yescharacteristic
134#10622283C2211yescharacteristic
135#10622283C2211yescharacteristic
136#10622282C2211yescharacteristic
137#10622282C2211yescharacteristic
138#10622282C2211yescharacteristic
139#10622282C2211yescharacteristic
140#10622281C2211yescharacteristic
141#10622281C2211yescharacteristic
142#10622280C2211yescharacteristic
143#10622280C2211yescharacteristic
144#10622280C2211yescharacteristic
145#10622280C2211yescharacteristic
146#10622280C2211yescharacteristic
147#10622279C2211yescharacteristic
148#10622279C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622277C2211yescharacteristic
157D11×#95C2211yescharacteristic
158#10622268C2211yescharacteristic
159#10622268C2211yescharacteristic
160#10622268C2211yescharacteristic
161#10622267C2211yescharacteristic
162#10622267C2211yescharacteristic
163#10622267C2211yescharacteristic
164#10622267C2211yescharacteristic
165#10622266C2211yescharacteristic
166#10622266C2211yescharacteristic
167#10622266C2211yescharacteristic
168#10622266C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622263C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622261C2211yescharacteristic
175#10622260C2211yescharacteristic
176#10622260C2211yescharacteristic
177#10622260C2211yescharacteristic
178#10622259C2211yescharacteristic
179#10622259C2211yescharacteristic
180#10622259C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C2×Q8×D11—42no—
195C2×Q8×D11—42no—
196C2×Q8×D11C2×C418yescomplemented
197C2×#4339—42no—
198C2×#4339—42no—
199C2×#4339C2×C418yes—
200C22×D44C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C22×Dic22C2311yescharacteristic
209C22×Dic22C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C11×C22⋊Q8C2×C418yescomplemented
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×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235#66999C2×C418yescomplemented
236C4×C22⋊D11—42no—
237C4×C22⋊D11—42no—
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267#66977C2×C418yescomplemented
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
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
306#66950C2×C418yescomplemented
307#66947C2×C418yescomplemented
308#66947C2×C418yescomplemented
309#66945C2×C418yescomplemented
310#66941C2×C418yescomplemented
311#66941C2×C418yescomplemented
312#66940—42no—
313#66940—42no—
314#66938C2×C418yes—
315#66938C2×C418yes—
316#66936C2×C418yescomplemented
317#66936C2×C418yescomplemented
318C4×Dic22—42no—
319C4×Dic22—42no—
320C4×Dic22—42no—
321C4×Dic22—42no—
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
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
369C11⋊#95C2311yescharacteristic
370#34439—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C2×Q8×C11—41no—
375C2×Q8×C11—41no—
376C2×Q8×C11C22×C414yes—
377C22×C4×C11—22no—
378C22×C4×C11—41no—
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×C11C22×C414yes—
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C2×C22⋊D11—22no—
401C2×C22⋊D11—22no—
402C2×C22⋊D11—41no—
403C2×C22⋊D11—41no—
404C2×C22⋊D11C22×C414yes—
405C2×C22⋊D11C22×C414yes—
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420Q8×D11—416no—
421#4339—416no—
422C2×D44—41no—
423C2×D44—41no—
424C2×D44C22×C414yes—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—41no—
429C2×C4×D11—41no—
430C2×C4×D11—41no—
431C2×C4×D11—41no—
432C2×C4×D11—41no—
433C2×C4×D11—41no—
434C2×C4×D11—41no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×C4×D11—41no—
439C2×C4×D11C22×C414yes—
440C2×C4×D11C22×C414yes—
441C2×C4×D11C22×C414yes—
442C2×C4×D11C22×C414yes—
443C2×Dic22—22no—
444C2×Dic22—22no—
445C2×Dic22—22no—
446C2×Dic22—22no—
447C2×Dic22—22no—
448C2×Dic22—22no—
449C2×Dic22—41no—
450C2×Dic22—41no—
451C2×Dic22C22×C414yes—
452C2×Dic22C22×C414yes—
453C2×Dic22C22×C414yes—
454C2×Dic22C22×C414yes—
455C11×C4⋊C4—22no—
456C11×C4⋊C4—41no—
457C11×C4⋊C4—41no—
458C11×C4⋊C4—41no—
459C11×C4⋊C4C22×C414yes—
460C11×C4⋊C4C22×C414yes—
461C11×C4⋊C4C22×C414yes—
462C11×C22⋊C4—22no—
463C11×C22⋊C4—41no—
464C11×C22⋊C4C22×C414yes—
465C11×C22⋊C4C22×C414yes—
466C42×C11—22no—
467C42×C11—41no—
468C42×C11—41no—
469C42×C11—41no—
470C42×C11—41no—
471C42×C11—41no—
472C22⋊Dic11—41no—
473C22⋊Dic11—41no—
474C22⋊Dic11—41no—
475C22⋊Dic11—41no—
476C22⋊Dic11C22×C414yes—
477C22⋊Dic11C22×C414yes—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—22no—
480(C2×D11)⋊C4—22no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4—41no—
483(C2×D11)⋊C4—41no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4—41no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4C22×C414yes—
493(C2×D11)⋊C4C22×C414yes—
494(C2×D11)⋊C4C22×C414yes—
495(C2×D11)⋊C4C22×C414yes—
496(C2×D11)⋊C4C22×C414yes—
497(C2×D11)⋊C4C22×C414yes—
498C4⋊Dic11—41no—
499C4⋊Dic11—41no—
500C4⋊Dic11—41no—
501C4⋊Dic11—41no—
502C4⋊Dic11—41no—
503C4⋊Dic11—41no—
504C4⋊Dic11C22×C414yes—
505C4⋊Dic11C22×C414yes—
506C4⋊Dic11C22×C414yes—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
509Dic11⋊C4—22no—
510Dic11⋊C4—22no—
511Dic11⋊C4—22no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4C22×C414yes—
522Dic11⋊C4C22×C414yes—
523Dic11⋊C4C22×C414yes—
524Dic11⋊C4C22×C414yes—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539C4×Dic11—41no—
540C4×Dic11—41no—
541C4×Dic11—41no—
542C4×Dic11—41no—
543C4×Dic11C22×C414yes—
544C4×Dic11C22×C414yes—
545C2×#536—111no—
546#2378—111no—
547#2378—111no—
548#2376—111no—
549#2376—111no—
550#2374—111no—
551#2374—111no—
552#2368—111no—
553#2368D1111yescharacteristic, complemented
554#2367—111no—
555#2367—111no—
556#2365—111no—
557#2365—111no—
558#2341—111no—
559Q8×C22⋊C4—111no—
560Q8×C22⋊C4—111no—
561#2339—111no—
562#2335—111no—
563#2335—111no—
564#2335—111no—
565#2335—111no—
566#2332—111no—
567#2332—111no—
568#2329—111no—
569#2329—111no—
570#2327—111no—
571#2326—111no—
572#2314—111no—
573C4×C4⋊Q8—111no—
574C4×#124—111no—
575#2298—111no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11C23×C412yes—
583C23×C11C2511yescharacteristic
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11C23×C412yes—
597C22×D11C23×C412yes—
598Q8×C11—44no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
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—44no—
634C2×C4×C11—82no—
635C2×C4×C11—82no—
636C2×C4×C11C23×C412yes—
637C2×C4×C11C23×C412yes—
638C2×C4×C11C23×C412yes—
639C2×C4×C11C23×C412yes—
640C2×C4×C11C23×C412yes—
641C2×C4×C11C23×C412yes—
642C2×C4×C112−1+412yes—
643C2×C4×C112−1+412yes—
644C22⋊D11—28no—
645C22⋊D11—44no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
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×Dic11C23×C412yes—
681C2×Dic11C23×C412yes—
682C2×Dic11C23×C412yes—
683C2×Dic11C23×C412yes—
684C2×Dic11C23×C412yes—
685C2×Dic11C23×C412yes—
686C2×Dic11H(5,𝔽2)12yes—
687C2×Dic11H(5,𝔽2)12yes—
688D44—44no—
689C4×D11—28no—
690C4×D11—44no—
691C4×D11—44no—
692C4×D11—44no—
693C4×D11—82no—
694C4×D11—82no—
695Dic22—28no—
696Dic22—28no—
697Dic22—28no—
698Dic22—44no—
699C22×#41—111no—
700C23×Q8—111no—
701#536—1116no—
702C2×C4⋊Q8—111no—
703C2×C4⋊Q8—111no—
704C2×#124—111no—
705C2×#124—111no—
706C2×#123—111no—
707C2×#123—111no—
708C2×#123—111no—
709C2×#123—111no—
710C2×C22⋊Q8—111no—
711C2×C22⋊Q8—111no—
712C2×C22⋊Q8—111no—
713C2×C22⋊Q8C2×D1111yescharacteristic
714C2×C4×Q8—111no—
715C2×C4×Q8—111no—
716C2×C4×Q8—111no—
717C2×C4×Q8—111no—
718C2×C4×Q8—111no—
719C2×C4×Q8—111no—
720C2×C4×D4—111no—
721C2×C4×D4—111no—
722C2×#117—111no—
723#391—111no—
724#391—111no—
725#391—111no—
726#391—111no—
727#391—111no—
728#391—111no—
729#391—111no—
730#391—111no—
731#391—111no—
732#391—111no—
733#391—111no—
734#391—111no—
735#391C2×D1111yescharacteristic
736#391C2×D1111yescharacteristic
737#390—111no—
738#390—111no—
739#390—111no—
740#390—111no—
741#390—111no—
742#390—111no—
743#389—111no—
744#389—111no—
745#389—111no—
746#389—111no—
747#389—111no—
748#389—111no—
749#389—111no—
750#389—111no—
751#388—111no—
752#388—111no—
753#388—111no—
754#388—111no—
755#388—111no—
756#388—111no—
757#388—111no—
758#388—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
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#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387C2×D1111yescharacteristic
796#387C2×D1111yescharacteristic
797#387C2×D1111yescharacteristic
798#387C2×D1111yescharacteristic
799#386—111no—
800#386—111no—
801#386—111no—
802#386—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#385—111no—
809#385C2×D1111yescharacteristic
810#385C2×D1111yescharacteristic
811#384—111no—
812#382—111no—
813#381—111no—
814#381—111no—
815#380—111no—
816#380—111no—
817#380—111no—
818#380—111no—
819#380—111no—
820#380—111no—
821#380—111no—
822#380—111no—
823C4×C4⋊C4—111no—
824C4×C4⋊C4—111no—
825C4×C4⋊C4—111no—
826C4×C4⋊C4—111no—
827C4×C4⋊C4—111no—
828C4×C4⋊C4—111no—
829C4×C4⋊C4—111no—
830C4×C4⋊C4—111no—
831C4×C4⋊C4—111no—
832C4×C4⋊C4—111no—
833C4×C4⋊C4C2×D1111yescharacteristic
834C4×C4⋊C4C2×D1111yescharacteristic
835C4×C22⋊C4—111no—
836C4×C22⋊C4—111no—
837C4×C22⋊C4—111no—
838C4×C22⋊C4—111no—
839C4×C22⋊C4—111no—
840C4×C22⋊C4—111no—
841C4×C22⋊C4—111no—
842C4×C22⋊C4—111no—
843C4×C22⋊C4—111no—
844C4×C22⋊C4—111no—
845C4×C22⋊C4—111no—
846C4×C22⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4C2×D1111yescharacteristic
849C4×C22⋊C4C2×D1111yescharacteristic
850C4×C22⋊C4C2×D1111yescharacteristic
851#376—111no—
852C2×#95—111no—
853C2×#95C2×D1111yescharacteristic
854C43—111no—
855C22×C11—22no—
856C22×C11—22no—
857C22×C11—22no—
858C22×C11—41no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11C24×C411yescharacteristic
863C22×C11C2×H(5,𝔽2)11yescharacteristic
864C22×C11C2×H(5,𝔽2)11yescharacteristic
865C22×C11C2×2−1+411yescharacteristic
866C22×C11C2×2−1+411yescharacteristic
867C22×C11#58511yescharacteristic
868C22×C11#58511yescharacteristic
869C2×D11—22no—
870C2×D11—22no—
871C2×D11—22no—
872C2×D11—22no—
873C2×D11—22no—
874C2×D11—22no—
875C2×D11—41no—
876C2×D11—41no—
877C2×D11—41no—
878C2×D11—41no—
879C2×D11—41no—
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C4×C11—22no—
884C4×C11—22no—
885C4×C11—22no—
886C4×C11—22no—
887C4×C11—22no—
888C4×C11—22no—
889C4×C11—22no—
890C4×C11—22no—
891C4×C11—41no—
892C4×C11—41no—
893C4×C11—41no—
894C4×C11—41no—
895C4×C11—41no—
896C4×C11—41no—
897Dic11—22no—
898Dic11—22no—
899Dic11—22no—
900Dic11—22no—
901Dic11—22no—
902Dic11—41no—
903Dic11—41no—
904Dic11—41no—
905Dic11—41no—
906Dic11—41no—
907Dic11—41no—
908Dic11—41no—
909Dic11—41no—
910Dic11#51814yes—
911C2×#41—118no—
912C2×#41—442no—
913C2×#41—442no—
914C22×Q8—118no—
915C22×Q8—111no—
916C22×Q8—111no—
917C22×Q8—111no—
918C22×Q8—111no—
919C22×Q8—442no—
920C22×Q8—442no—
921C22×Q8C22×D1111yescharacteristic
922C22×D4—111no—
923C22×D4—111no—
924C22×D4—111no—
925C23×C4—111no—
926C23×C4—111no—
927C23×C4—111no—
928C23×C4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4C22×D1111yescharacteristic
932C23×C4C22×D1111yescharacteristic
933C23×C4C22×D1111yescharacteristic
934C4⋊Q8—118no—
935C4⋊Q8—118no—
936#124—118no—
937#124—118no—
938#123—118no—
939#123—118no—
940#123—118no—
941#123—118no—
942C22⋊Q8—118no—
943C22⋊Q8—118no—
944C22⋊Q8—118no—
945C22⋊Q8C4×D1118yescomplemented
946C4×Q8—442no—
947C4×Q8—442no—
948C4×Q8—442no—
949C4×Q8—442no—
950C4×Q8—442no—
951C4×Q8—442no—
952C4×D4—442no—
953C4×D4—442no—
954#117—118no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4C22×D1111yescharacteristic
983C2×C4⋊C4C22×D1111yescharacteristic
984C2×C4⋊C4C22×D1111yescharacteristic
985C2×C4⋊C4C22×D1111yescharacteristic
986C2×C4⋊C4C22×D1111yescharacteristic
987C2×C4⋊C4C22×D1111yescharacteristic
988C2×C4⋊C4C22×D1111yescharacteristic
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4C22×D1111yescharacteristic
1016C2×C22⋊C4C22×D1111yescharacteristic
1017C2×C22⋊C4C22×D1111yescharacteristic
1018C2×C22⋊C4C22×D1111yescharacteristic
1019C2×C42—111no—
1020C2×C42—111no—
1021C2×C42—111no—
1022C2×C42—111no—
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—111no—
1034C2×C42—111no—
1035C2×C42—111no—
1036C2×C42—111no—
1037C2×C42—111no—
1038C2×C42—111no—
1039C2×C42C22×D1111yescharacteristic
1040C2×C42C22×D1111yescharacteristic
1041C2×C42C22×D1111yescharacteristic
1042C2×C42C22×D1111yescharacteristic
1043C2×C42C22×D1111yescharacteristic
1044C2×C42C22×D1111yescharacteristic
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
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#95C22×D1111yescharacteristic
1080#95C22×D1111yescharacteristic
1081#95C22×D1111yescharacteristic
1082#95C22×D1111yescharacteristic
1083#95C22×D1111yescharacteristic
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093C2×C11—42no—
1094C2×C11C2×#51811yescharacteristic
1095C2×C11C4×2−1+411yescharacteristic
1096C2×C11C4×2−1+411yescharacteristic
1097C2×C11#355211yescharacteristic
1098C2×C11#355411yescharacteristic
1099C2×C11#356111yescharacteristic
1100C2×C11#356211yescharacteristic
1101D11—42no—
1102D11—42no—
1103C24—111no—
1104C24—111no—
1105C24C23×D1111yescharacteristic
1106#41—4416no—
1107C2×Q8—41no—
1108C2×Q8—41no—
1109C2×Q8—114no—
1110C2×Q8—114no—
1111C2×Q8—114no—
1112C2×Q8—114no—
1113C2×Q8—222no—
1114C2×Q8—222no—
1115C2×Q8—222no—
1116C2×Q8—222no—
1117C2×Q8—222no—
1118C2×Q8—222no—
1119C2×Q8—441no—
1120C2×Q8—441no—
1121C2×Q8—4416no—
1122C2×Q8C2×C4×D1114yes—
1123C2×D4—114no—
1124C2×D4—114no—
1125C2×D4—114no—
1126C2×D4—222no—
1127C2×D4—222no—
1128C2×D4—441no—
1129C2×D4—441no—
1130C2×D4—441no—
1131C2×D4—441no—
1132C22×C4—22no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—111no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—114no—
1147C22×C4—114no—
1148C22×C4—114no—
1149C22×C4—114no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—111no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—222no—
1159C22×C4—222no—
1160C22×C4—222no—
1161C22×C4—441no—
1162C22×C4—441no—
1163C22×C4—441no—
1164C22×C4—441no—
1165C22×C4—441no—
1166C22×C4—441no—
1167C22×C4—441no—
1168C22×C4—441no—
1169C22×C4—441no—
1170C22×C4—441no—
1171C22×C4—441no—
1172C22×C4C2×C4×D1114yes—
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1111yescharacteristic
1175C22×C4C23×D1111yescharacteristic
1176C22×C4C23×D1111yescharacteristic
1177C22×C4C23×D1111yescharacteristic
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C22×C4C23×D1111yescharacteristic
1183C22×C4C23×D1111yescharacteristic
1184C22×C4C23×D1111yescharacteristic
1185C22×C4C23×D1111yescharacteristic
1186C22×C4C23×D1111yescharacteristic
1187C4⋊C4—22no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—114no—
1192C4⋊C4—114no—
1193C4⋊C4—114no—
1194C4⋊C4—114no—
1195C4⋊C4—114no—
1196C4⋊C4—114no—
1197C4⋊C4—114no—
1198C4⋊C4—222no—
1199C4⋊C4—222no—
1200C4⋊C4—222no—
1201C4⋊C4—222no—
1202C4⋊C4—222no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C4⋊C4—441no—
1214C4⋊C4—441no—
1215C4⋊C4—441no—
1216C4⋊C4—441no—
1217C4⋊C4—441no—
1218C4⋊C4C2×C4×D1114yes—
1219C4⋊C4C2×C4×D1114yes—
1220C4⋊C4C2×C4×D1114yes—
1221C22⋊C4—22no—
1222C22⋊C4—41no—
1223C22⋊C4—114no—
1224C22⋊C4—114no—
1225C22⋊C4—114no—
1226C22⋊C4—114no—
1227C22⋊C4—114no—
1228C22⋊C4—114no—
1229C22⋊C4—114no—
1230C22⋊C4—114no—
1231C22⋊C4—222no—
1232C22⋊C4—222no—
1233C22⋊C4—222no—
1234C22⋊C4—441no—
1235C22⋊C4—441no—
1236C22⋊C4—441no—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C22⋊C4—441no—
1242C22⋊C4—441no—
1243C22⋊C4—441no—
1244C22⋊C4—441no—
1245C22⋊C4—441no—
1246C22⋊C4—441no—
1247C22⋊C4—441no—
1248C22⋊C4—441no—
1249C22⋊C4C2×C4×D1114yes—
1250C22⋊C4C2×C4×D1114yes—
1251C42—22no—
1252C42—41no—
1253C42—41no—
1254C42—41no—
1255C42—41no—
1256C42—41no—
1257C42—114no—
1258C42—114no—
1259C42—222no—
1260C42—222no—
1261C42—222no—
1262C42—222no—
1263C42—222no—
1264C42—441no—
1265C42—441no—
1266C42—441no—
1267C42—441no—
1268C42—441no—
1269C42—441no—
1270C42—441no—
1271C42—441no—
1272C42—441no—
1273C42—441no—
1274C42—441no—
1275C42—441no—
1276C42—441no—
1277C11#3443911yescharacteristic, complemented, Sylow
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—112no—
1285C23—112no—
1286C23—221no—
1287C23—221no—
1288C23—221no—
1289C23—221no—
1290C23—221no—
1291C23—221no—
1292C23—221no—
1293C23—221no—
1294C23—221no—
1295C23—221no—
1296C23—221no—
1297C23—221no—
1298C23C22×C4×D1112yes—
1299C23C24×D1111yescharacteristic
1300Q8—44no—
1301Q8—228no—
1302Q8—228no—
1303Q8—228no—
1304Q8—444no—
1305D4—228no—
1306D4—444no—
1307D4—444no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—44no—
1343C2×C4—82no—
1344C2×C4—82no—
1345C2×C4—112no—
1346C2×C4—112no—
1347C2×C4—112no—
1348C2×C4—112no—
1349C2×C4—112no—
1350C2×C4—112no—
1351C2×C4—112no—
1352C2×C4—112no—
1353C2×C4—228no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—444no—
1389C2×C4—444no—
1390C2×C4—444no—
1391C2×C4—882no—
1392C2×C4—882no—
1393C2×C4C22×C4×D1112yes—
1394C2×C4C22×C4×D1112yes—
1395C2×C4C22×C4×D1112yes—
1396C2×C4C22×C4×D1112yes—
1397C2×C4C22×C4×D1112yes—
1398C2×C4C22×C4×D1112yes—
1399C2×C4#6704012yes—
1400C2×C4#6704312yes—
1401C22—22no—
1402C22—22no—
1403C22—22no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—222no—
1409C22—222no—
1410C22—222no—
1411C22—222no—
1412C22—222no—
1413C22—222no—
1414C22—441no—
1415C22—441no—
1416C22—441no—
1417C22—441no—
1418C22—441no—
1419C22—441no—
1420C22—441no—
1421C22—441no—
1422C22C23×C4×D1111yescharacteristic
1423C22C2×#6704011yescharacteristic
1424C22C2×#6704311yescharacteristic
1425C22#1062345311yescharacteristic
1426C22#1062345311yescharacteristic
1427C22D11×H(5,𝔽2)11yescharacteristic
1428C22D11×H(5,𝔽2)11yescharacteristic
1429C4—22no—
1430C4—22no—
1431C4—22no—
1432C4—22no—
1433C4—22no—
1434C4—22no—
1435C4—22no—
1436C4—22no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—114no—
1444C4—222no—
1445C4—222no—
1446C4—222no—
1447C4—222no—
1448C4—222no—
1449C4—441no—
1450C4—441no—
1451C4—441no—
1452C4—441no—
1453C4—441no—
1454C4—441no—
1455C4—441no—
1456C4—441no—
1457C2—42no—
1458C2—442no—
1459C2—442no—
1460C2D11×#51811yescharacteristic
1461C2C4×#6704311yescharacteristic
1462C2C4×#6704011yescharacteristic
1463C2#1308305111yescharacteristic
1464C2#1308307911yescharacteristic
1465C2#1308317411yescharacteristic
1466C2#1308319711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2368C2
socle, cosocleC23×C11C25
prime radicalC22×#4339C22
hypercenter#2368D11
hypocenterC11#34439
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2368

Complements

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

NH ≅ G/Ntype
2. #13071782C2semidirect
3. #13071780C2semidirect
4. #13071765C2semidirect
5. #13071763C2semidirect
6. #13071750C2semidirect
7. #13071745C2semidirect
8. #13071698C2semidirect
9. #13071688C2semidirect
10. #13071684C2semidirect
11. #13071675C2semidirect
12. #13071671C2semidirect
14. #13071450C2semidirect
15. #13071450C2semidirect
17. #13071408C2semidirect
18. #13071405C2semidirect
19. #13071401C2semidirect
20. #13071400C2semidirect
21. #13071372C2semidirect
22. #13071371C2semidirect
23. #13071349C2semidirect
24. #13071348C2semidirect
25. #13071331C2semidirect
26. #13071322C2semidirect
27. #13071222C2semidirect
28. C4×#66941C2semidirect
29. C4×#66938C2semidirect
30. #13071108C2semidirect
31. C11×#2368C2semidirect
39. #10623159C4semidirect
196. C2×Q8×D11C2×C4semidirect
211. C11×C22⋊Q8C2×C4semidirect
235. #66999C2×C4semidirect
267. #66977C2×C4semidirect
306. #66950C2×C4semidirect
307. #66947C2×C4semidirect
308. #66947C2×C4semidirect
309. #66945C2×C4semidirect
310. #66941C2×C4semidirect
311. #66941C2×C4semidirect
316. #66936C2×C4semidirect
317. #66936C2×C4semidirect
553. #2368D11semidirect
945. C22⋊Q8C4×D11semidirect
1277. C11#34439semidirect

Maximal subgroups

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

subgroupindex
C2×#106231592
#130717822
#130717802
#130717652
#130717632
#130717502
#130717452
#130716982
#130716882
#130716842
#130716752
#130716712
#130714562
#130714502
#130714432
#130714082
#130714052
#130714012
#130714002
#130713722
#130713712
#130713492
#130713482
#130713312
#130713222
#130712222
C4×#669412
C4×#669382
#130711082
C11×#23682
#3443911