Finite Group Databasebeta

← #14918326

Subgroups — #14918326

Order 2816.

2500 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623236C211yesmaximal, characteristic
2#13071804C211yesmaximal, characteristic, complemented
3#13071789C211yesmaximal, characteristic, complemented
4#13071765C211yesmaximal, characteristic, complemented
5#13071624C211yesmaximal, characteristic, complemented
6#13071620C211yesmaximal, characteristic, complemented
7#13071603C211yesmaximal, characteristic, complemented
8#13071601C211yesmaximal, characteristic, complemented
9#13071594C211yesmaximal, characteristic
10#13071517C211yesmaximal, characteristic, complemented
11#13071516C211yesmaximal, characteristic, complemented
12#13071475C211yesmaximal, characteristic, complemented
13#13071473C211yesmaximal, characteristic, complemented
14#13071464C211yesmaximal, characteristic, complemented
15#13071460C211yesmaximal, characteristic, complemented
16#13071395C211yesmaximal, characteristic, complemented
17#13071389C211yesmaximal, characteristic, complemented
18#13071350C211yesmaximal, characteristic, complemented
19#13071345C211yesmaximal, characteristic, complemented
20#13071325C211yesmaximal, characteristic, complemented
21#13071289C211yesmaximal, characteristic, complemented
22#13071286C211yesmaximal, characteristic, complemented
23#13071280C211yesmaximal, characteristic, complemented
24#13071248C211yesmaximal, characteristic, complemented
25#13071247C211yesmaximal, characteristic, complemented
26#13071238C211yesmaximal, characteristic, complemented
27#13071237C211yesmaximal, characteristic, complemented
28#13071117C211yesmaximal, characteristic
29D11×#385C211yesmaximal, characteristic, complemented
30D11×#385C211yesmaximal, characteristic, complemented
31C11×#2383C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34#10623236C4116yescomplemented
35C2×#66950C2211yescharacteristic
36C2×#66949C2211yescharacteristic
37C2×#66947C2211yescharacteristic
38C2×#66947C2211yescharacteristic
39C2×#66946C2211yescharacteristic
40C2×#66946C2211yescharacteristic
41C2×#66946C2211yescharacteristic
42C2×#66946C2211yescharacteristic
43C2×#66945C2211yescharacteristic
44C2×#66945C2211yescharacteristic
45C2×C4⋊C4×D11C2211yescharacteristic
46C2×C4⋊C4×D11C2211yescharacteristic
47C2×C4⋊C4×D11C2211yescharacteristic
48C2×C4⋊C4×D11C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic, complemented
50C2×#66938C2211yescharacteristic
51C2×#66936C2211yescharacteristic
52C2×#66935C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic
54C2×C22⋊C4×D11C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×C22⋊C4×D11C2211yescharacteristic
57C2×C22⋊C4×D11C2211yescharacteristic
58C2×#66932C2211yescharacteristic
59C2×C4×D44C2211yescharacteristic
60C2×C4×D44C2211yescharacteristic
61C2×#66925C2211yescharacteristic
62C2×#66925C2211yescharacteristic
63C2×C4×Dic22C2211yescharacteristic, complemented
64C11×#389C2211yescharacteristic, complemented
65C11×#389C2211yescharacteristic, complemented
66C11×#389C2211yescharacteristic, complemented
67C11×#388C2211yescharacteristic
68C11×#388C2211yescharacteristic
69C11×#388C2211yescharacteristic
70C11×#387C2211yescharacteristic, complemented
71C11×#387C2211yescharacteristic, complemented
72C11×#387C2211yescharacteristic, complemented
73C11×#385C2211yescharacteristic
74C11×#385C2211yescharacteristic
75C11×#385C2211yescharacteristic
76C11×#384C2211yescharacteristic, complemented
77C11×#383C2211yescharacteristic, complemented
78#10622826C2211yescharacteristic
79#10622823C2211yescharacteristic
80#10622823C2211yescharacteristic
81#10622603C2211yescharacteristic, complemented
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622602C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622602C2211yescharacteristic, complemented
92#10622602C2211yescharacteristic, complemented
93#10622602C2211yescharacteristic, complemented
94#10622600C2211yescharacteristic
95#10622600C2211yescharacteristic, complemented
96#10622598C2211yescharacteristic, complemented
97#10622598C2211yescharacteristic, complemented
98#10622594C2211yescharacteristic, complemented
99#10622594C2211yescharacteristic, complemented
100#10622594C2211yescharacteristic, complemented
101#10622591C2211yescharacteristic, complemented
102#10622590C2211yescharacteristic, complemented
103#10622589C2211yescharacteristic, complemented
104#10622589C2211yescharacteristic, complemented
105C4⋊C4×Dic11C2211yescharacteristic, complemented
106#10622587C2211yescharacteristic, complemented
107#10622586C2211yescharacteristic, complemented
108#10622586C2211yescharacteristic, complemented
109#10622586C2211yescharacteristic, complemented
110#10622585C2211yescharacteristic, complemented
111#10622585C2211yescharacteristic, complemented
112#10622585C2211yescharacteristic, complemented
113#10622585C2211yescharacteristic, complemented
114#10622570C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622568C2211yescharacteristic
117#10622564C2211yescharacteristic
118#10622564C2211yescharacteristic
119#10622564C2211yescharacteristic
120#10622563C2211yescharacteristic
121#10622563C2211yescharacteristic
122#10622559C2211yescharacteristic
123#10622559C2211yescharacteristic
124#10622558C2211yescharacteristic
125#10622558C2211yescharacteristic
126#10622557C2211yescharacteristic
127#10622557C2211yescharacteristic
128C22⋊C4×Dic11C2211yescharacteristic
129#10622553C2211yescharacteristic, complemented
130C4×(C2×D11)⋊C4C2211yescharacteristic
131C4×(C2×D11)⋊C4C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
135#10622549C2211yescharacteristic, complemented
136C4×C4⋊Dic11C2211yescharacteristic, complemented
137#10622546C2211yescharacteristic, complemented
138C4×Dic11⋊C4C2211yescharacteristic, complemented
139#10622541C2211yescharacteristic, complemented
140#10622283C2211yescharacteristic, complemented
141#10622283C2211yescharacteristic, complemented
142#10622282C2211yescharacteristic, complemented
143#10622282C2211yescharacteristic, complemented
144#10622281C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic, complemented
152#10622281C2211yescharacteristic, complemented
153#10622280C2211yescharacteristic
154#10622280C2211yescharacteristic, complemented
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622277C2211yescharacteristic
166#10622277C2211yescharacteristic
167#10622277C2211yescharacteristic, complemented
168D11×#95C2211yescharacteristic
169D11×#95C2211yescharacteristic
170D11×#95C2211yescharacteristic
171D11×#95C2211yescharacteristic
172#10622268C2211yescharacteristic, complemented
173#10622268C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622261C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×C4×D11—42no—
195C22×C4×D11—42no—
196C22×C4×D11—42no—
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×#126C2×C418yescomplemented
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×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊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×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
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×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
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
303#66950C2×C418yescomplemented
304#66949C2×C418yescomplemented
305#66947C2×C418yescomplemented
306#66947C2×C418yescomplemented
307#66946—42no—
308#66946—42no—
309#66946—42no—
310#66946C2×C418yescomplemented
311#66945—42no—
312#66945C2×C418yescomplemented
313C4⋊C4×D11—42no—
314C4⋊C4×D11—42no—
315C4⋊C4×D11—42no—
316C4⋊C4×D11—42no—
317C4⋊C4×D11—42no—
318#66938C2×C418yescomplemented
319#66936C2×C418yescomplemented
320#66935C2×C418yes—
321(C22⋊D11)⋊C4—42no—
322C22⋊C4×D11—42no—
323C22⋊C4×D11—42no—
324C22⋊C4×D11C2×C418yescomplemented
325C22⋊C4×D11C2×C418yescomplemented
326#66932C2×C418yescomplemented
327C4×D44—42no—
328C4×D44C2×C418yescomplemented
329#66925—42no—
330#66925C2×C418yescomplemented
331C4×Dic22—42no—
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
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376#34457—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C23×D11—22no—
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11C22×C414yes—
385C23×D11C2411yescharacteristic
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C22×C4×C11—41no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
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
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C2×C22⋊D11—41no—
406C2×C22⋊D11—41no—
407C2×C22⋊D11C22×C414yes—
408C22×Dic11—22no—
409C22×Dic11—41no—
410C22×Dic11—41no—
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C2×D44—22no—
425C2×D44—22no—
426C2×D44—22no—
427C2×D44—22no—
428C2×D44C22×C414yes—
429C2×D44C22×C414yes—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
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×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—416no—
471C2×C4×D11C22×C414yes—
472C2×C4×D11C22×C414yes—
473C2×C4×D11C22×C414yes—
474C2×C4×D11C22×C414yes—
475C2×C4×D11C22×C414yescomplemented
476C2×Dic22—41no—
477C2×Dic22—41no—
478C2×Dic22C22×C414yescomplemented
479C11×C4⋊C4—41no—
480C11×C4⋊C4—41no—
481C11×C4⋊C4—41no—
482C11×C4⋊C4—41no—
483C11×C4⋊C4—41no—
484C11×C4⋊C4—41no—
485C11×C4⋊C4—41no—
486C11×C4⋊C4—41no—
487C11×C4⋊C4—41no—
488C11×C4⋊C4C22×C414yescomplemented
489C11×C4⋊C4C22×C414yescomplemented
490C11×C4⋊C4C22×C414yescomplemented
491C11×C22⋊C4—41no—
492C11×C22⋊C4—41no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4C22×C414yes—
495C11×C22⋊C4C22×C414yes—
496C11×C22⋊C4C22×C414yes—
497C42×C11—41no—
498C42×C11—41no—
499C42×C11—41no—
500C42×C11C22×C414yescomplemented
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11C22×C414yes—
505C22⋊Dic11C22×C414yes—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4C22×C414yes—
521(C2×D11)⋊C4C22×C414yes—
522(C2×D11)⋊C4C22×C414yes—
523(C2×D11)⋊C4C22×C414yes—
524(C2×D11)⋊C4C22×C414yes—
525(C2×D11)⋊C4C22×C414yes—
526(C2×D11)⋊C4C22×C414yescomplemented
527(C2×D11)⋊C4C22×C414yescomplemented
528(C2×D11)⋊C4C22×C414yescomplemented
529C4⋊Dic11—22no—
530C4⋊Dic11—22no—
531C4⋊Dic11—41no—
532C4⋊Dic11—41no—
533C4⋊Dic11—41no—
534C4⋊Dic11—41no—
535C4⋊Dic11—41no—
536C4⋊Dic11C22×C414yescomplemented
537C4⋊Dic11C22×C414yescomplemented
538Dic11⋊C4—22no—
539Dic11⋊C4—22no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4C22×C414yescomplemented
553Dic11⋊C4C22×C414yescomplemented
554Dic11⋊C4C22×C414yescomplemented
555C4×Dic11—22no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563C4×Dic11—41no—
564C4×Dic11—41no—
565C4×Dic11—41no—
566C4×Dic11C22×C414yescomplemented
567C4×Dic11C22×C414yescomplemented
568C2×#551—111no—
569#2383—111no—
570#2383D1111yescharacteristic, complemented
571#2379—111no—
572#2376—111no—
573#2360—111no—
574#2360—111no—
575#2359—111no—
576#2359—111no—
577#2358—111no—
578D4×C4⋊C4—111no—
579D4×C4⋊C4—111no—
580#2343—111no—
581#2343—111no—
582#2342—111no—
583#2342—111no—
584#2334—111no—
585#2334—111no—
586#2329—111no—
587#2329—111no—
588#2326—111no—
589#2322—111no—
590#2322—111no—
591#2322—111no—
592#2318—111no—
593#2318—111no—
594#2317—111no—
595#2317—111no—
596C4×#120—111no—
597C2×#385—111no—
598C2×#385—111no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11C23×C412yes—
606C23×C11C2511yescharacteristic
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—28no—
622C22×D11—28no—
623C22×D11—44no—
624C22×D11—44no—
625C22×D11—44no—
626C22×D11—44no—
627C22×D11—44no—
628C22×D11C23×C412yes—
629C22×D11C23×C412yes—
630C22×D11C23×C412yes—
631C22×D11H(5,𝔽2)12yes—
632C22×D11H(5,𝔽2)12yes—
633C22×D112−1+412yes—
634C22×D112−1+412yes—
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—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
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—44no—
672C2×C4×C11C23×C412yes—
673C2×C4×C11C23×C412yes—
674C2×C4×C11C23×C412yes—
675C2×C4×C11C23×C412yes—
676C2×C4×C11C23×C412yes—
677C2×C4×C11C23×C412yes—
678C22⋊D11—44no—
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—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—44no—
713C2×Dic11C23×C412yes—
714C2×Dic11C23×C412yes—
715C2×Dic11C23×C412yes—
716C2×Dic11C23×C412yes—
717C2×Dic11C23×C412yes—
718C2×Dic11H(5,𝔽2)12yes—
719D44—28no—
720D44—28no—
721C4×D11—28no—
722C4×D11—28no—
723C4×D11—44no—
724C4×D11—44no—
725C4×D11—44no—
726C4×D11—44no—
727C4×D11—44no—
728C4×D11—44no—
729C4×D11—44no—
730C4×D11—82no—
731C4×D11—82no—
732C4×D11—82no—
733C4×D11—82no—
734C4×D11—82no—
735C4×D11—82no—
736Dic22—44no—
737C24×C4—111no—
738#551—1116no—
739C2×#126—111no—
740C2×#126C2×D1111yescharacteristic
741C2×#124—111no—
742C2×#123—111no—
743C2×#123—111no—
744C2×#123—111no—
745C2×C22⋊Q8—111no—
746C2×C22⋊Q8—111no—
747C2×#120—111no—
748C2×C4×Q8—111no—
749C2×C4×D4—111no—
750C2×C4×D4—111no—
751C2×C4×D4—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×C4×D4—111no—
755C2×C4×D4—111no—
756C2×#117—111no—
757C2×#117—111no—
758C2×#117—111no—
759C2×#117—111no—
760C22×C4⋊C4—111no—
761C22×C4⋊C4—111no—
762C22×C4⋊C4—111no—
763C22×C4⋊C4—111no—
764C22×C4⋊C4—111no—
765C22×C22⋊C4—111no—
766C22×C22⋊C4—111no—
767C22×C22⋊C4—111no—
768C22×C22⋊C4—111no—
769#391—111no—
770#391—111no—
771#391—111no—
772#390—111no—
773#389—111no—
774#389—111no—
775#389—111no—
776#389—111no—
777#389—111no—
778#389—111no—
779#389—111no—
780#389—111no—
781#389—111no—
782#389—111no—
783#389—111no—
784#389C2×D1111yescharacteristic, complemented
785#389C2×D1111yescharacteristic, complemented
786#389C2×D1111yescharacteristic, complemented
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—111no—
793#388—111no—
794#388—111no—
795#388—111no—
796#388—111no—
797#388—111no—
798#388—111no—
799#388—111no—
800#388C2×D1111yescharacteristic
801#388C2×D1111yescharacteristic
802#388C2×D1111yescharacteristic
803#387—111no—
804#387—111no—
805#387—111no—
806#387—111no—
807#387—111no—
808#387—111no—
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387—111no—
814#387—111no—
815#387—111no—
816#387C2×D1111yescharacteristic, complemented
817#387C2×D1111yescharacteristic, complemented
818#387C2×D1111yescharacteristic, complemented
819#386—111no—
820#386—111no—
821#386—111no—
822#386—111no—
823#386—111no—
824#386—111no—
825#385—111no—
826#385—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385—111no—
831#385—111no—
832#385—111no—
833#385—111no—
834#385—111no—
835#385—111no—
836#385—111no—
837#385—111no—
838#385—111no—
839#385—111no—
840#385—111no—
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385—111no—
850#385—111no—
851#385—111no—
852#385C2×D1111yescharacteristic
853#385C2×D1111yescharacteristic
854#385C2×D1111yescharacteristic
855#384—111no—
856#384—111no—
857#384C2×D1111yescharacteristic, complemented
858#383—111no—
859#383C2×D1111yescharacteristic, complemented
860#382—111no—
861#382—111no—
862#382—111no—
863#382—111no—
864#381—111no—
865#381—111no—
866#381—111no—
867#380—111no—
868#380—111no—
869#380—111no—
870#380—111no—
871#379—111no—
872C4×C4⋊C4—111no—
873C4×C4⋊C4—111no—
874C4×C4⋊C4—111no—
875C4×C4⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888#376—111no—
889C2×#95—111no—
890C2×#95—111no—
891C2×#95—111no—
892C2×#95—111no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11C24×C411yescharacteristic
901C22×C11C2×H(5,𝔽2)11yescharacteristic
902C22×C11C2×H(5,𝔽2)11yescharacteristic
903C22×C11C2×H(5,𝔽2)11yescharacteristic
904C22×C11C2×2−1+411yescharacteristic
905C22×C11C2×2−1+411yescharacteristic
906C22×C11#58511yescharacteristic
907C2×D11—22no—
908C2×D11—22no—
909C2×D11—22no—
910C2×D11—22no—
911C2×D11—22no—
912C2×D11—22no—
913C2×D11—22no—
914C2×D11—22no—
915C2×D11—22no—
916C2×D11—22no—
917C2×D11—22no—
918C2×D11—22no—
919C2×D11—22no—
920C2×D11—22no—
921C2×D11—22no—
922C2×D11—416no—
923C2×D11—41no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11#52014yes—
928C2×D11#52014yes—
929C4×C11—22no—
930C4×C11—22no—
931C4×C11—22no—
932C4×C11—22no—
933C4×C11—22no—
934C4×C11—22no—
935C4×C11—41no—
936C4×C11—41no—
937C4×C11—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943Dic11—22no—
944Dic11—22no—
945Dic11—22no—
946Dic11—22no—
947Dic11—22no—
948Dic11—22no—
949Dic11—41no—
950Dic11—41no—
951Dic11—41no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956C25—111no—
957C22×Q8—111no—
958C22×D4—111no—
959C22×D4—111no—
960C22×D4—111no—
961C23×C4—111no—
962C23×C4—111no—
963C23×C4—111no—
964C23×C4—111no—
965C23×C4—111no—
966C23×C4—111no—
967C23×C4—111no—
968C23×C4—111no—
969C23×C4—111no—
970C23×C4—111no—
971C23×C4—111no—
972C23×C4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—111no—
976C23×C4—111no—
977C23×C4—442no—
978C23×C4—442no—
979C23×C4—442no—
980C23×C4C22×D1111yescharacteristic
981#126—118no—
982#126C4×D1118yescomplemented
983#124—118no—
984#123—118no—
985#123—118no—
986#123—118no—
987C22⋊Q8—118no—
988C22⋊Q8—118no—
989#120—118no—
990C4×Q8—442no—
991C4×D4—118no—
992C4×D4—118no—
993C4×D4—442no—
994C4×D4—442no—
995C4×D4—442no—
996C4×D4—442no—
997C4×D4—442no—
998#117—118no—
999#117—118no—
1000#117—442no—
1001#117—442no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—442no—
1029C2×C4⋊C4—442no—
1030C2×C4⋊C4—442no—
1031C2×C4⋊C4—442no—
1032C2×C4⋊C4—442no—
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C4⋊C4C22×D1111yescharacteristic
1035C2×C4⋊C4C22×D1111yescharacteristic
1036C2×C4⋊C4C22×D1111yescharacteristic
1037C2×C4⋊C4C22×D1111yescharacteristic
1038C2×C4⋊C4C22×D1111yescharacteristic
1039C2×C4⋊C4C22×D1111yescharacteristic
1040C2×C4⋊C4C22×D1111yescharacteristic
1041C2×C4⋊C4C22×D1111yescharacteristic
1042C2×C4⋊C4C22×D1111yescharacteristic
1043C2×C4⋊C4C22×D1111yescharacteristic
1044C2×C4⋊C4C22×D1111yescharacteristic
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—118no—
1057C2×C22⋊C4—118no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
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—442no—
1076C2×C22⋊C4—442no—
1077C2×C22⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C42—111no—
1084C2×C42—111no—
1085C2×C42—111no—
1086C2×C42—111no—
1087C2×C42—111no—
1088C2×C42—111no—
1089C2×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42C22×D1111yescharacteristic
1097C2×C42C22×D1111yescharacteristic
1098C2×C42C22×D1111yescharacteristic
1099C2×C42C22×D1111yescharacteristic
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95C22×D1111yescharacteristic
1133#95C22×D1111yescharacteristic
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144C2×C11—42no—
1145C2×C11C2×#52011yescharacteristic
1146C2×C11C2×#52011yescharacteristic
1147C2×C11C4×H(5,𝔽2)11yescharacteristic
1148C2×C11#353211yescharacteristic
1149C2×C11#353511yescharacteristic
1150C2×C11#353511yescharacteristic
1151C2×C11#353811yescharacteristic
1152D11—24no—
1153D11—24no—
1154D11—42no—
1155C24—111no—
1156C24—111no—
1157C24—111no—
1158C24—114no—
1159C24—222no—
1160C24—222no—
1161C24—222no—
1162C24—222no—
1163C24—441no—
1164C24—441no—
1165C24C23×D1111yescharacteristic
1166C2×Q8—114no—
1167C2×Q8—441no—
1168C2×Q8—441no—
1169C2×D4—114no—
1170C2×D4—114no—
1171C2×D4—114no—
1172C2×D4—222no—
1173C2×D4—222no—
1174C2×D4—222no—
1175C2×D4—222no—
1176C2×D4—441no—
1177C2×D4—441no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—111no—
1182C22×C4—111no—
1183C22×C4—111no—
1184C22×C4—111no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—114no—
1188C22×C4—114no—
1189C22×C4—114no—
1190C22×C4—114no—
1191C22×C4—114no—
1192C22×C4—111no—
1193C22×C4—111no—
1194C22×C4—111no—
1195C22×C4—111no—
1196C22×C4—111no—
1197C22×C4—111no—
1198C22×C4—111no—
1199C22×C4—222no—
1200C22×C4—222no—
1201C22×C4—222no—
1202C22×C4—222no—
1203C22×C4—222no—
1204C22×C4—222no—
1205C22×C4—222no—
1206C22×C4—222no—
1207C22×C4—222no—
1208C22×C4—222no—
1209C22×C4—222no—
1210C22×C4—222no—
1211C22×C4—222no—
1212C22×C4—222no—
1213C22×C4—222no—
1214C22×C4—222no—
1215C22×C4—441no—
1216C22×C4—441no—
1217C22×C4—441no—
1218C22×C4—441no—
1219C22×C4—441no—
1220C22×C4—441no—
1221C22×C4—441no—
1222C22×C4—441no—
1223C22×C4—441no—
1224C22×C4—441no—
1225C22×C4—441no—
1226C22×C4—441no—
1227C22×C4—441no—
1228C22×C4—441no—
1229C22×C4—441no—
1230C22×C4—441no—
1231C22×C4—441no—
1232C22×C4—441no—
1233C22×C4—441no—
1234C22×C4—441no—
1235C22×C4—441no—
1236C22×C4—441no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4—4416no—
1241C22×C4—441no—
1242C22×C4—441no—
1243C22×C4C23×D1111yescharacteristic
1244C22×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C22×C4C23×D1111yescharacteristic
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—114no—
1267C4⋊C4—114no—
1268C4⋊C4—114no—
1269C4⋊C4—114no—
1270C4⋊C4—114no—
1271C4⋊C4—222no—
1272C4⋊C4—222no—
1273C4⋊C4—222no—
1274C4⋊C4—222no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C4⋊C4—441no—
1285C4⋊C4—441no—
1286C4⋊C4—441no—
1287C4⋊C4—441no—
1288C4⋊C4—441no—
1289C4⋊C4—441no—
1290C4⋊C4—441no—
1291C4⋊C4—441no—
1292C4⋊C4C2×C4×D1114yescomplemented
1293C4⋊C4C2×C4×D1114yescomplemented
1294C4⋊C4C2×C4×D1114yescomplemented
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—114no—
1299C22⋊C4—114no—
1300C22⋊C4—114no—
1301C22⋊C4—114no—
1302C22⋊C4—114no—
1303C22⋊C4—114no—
1304C22⋊C4—114no—
1305C22⋊C4—114no—
1306C22⋊C4—114no—
1307C22⋊C4—114no—
1308C22⋊C4—114no—
1309C22⋊C4—222no—
1310C22⋊C4—222no—
1311C22⋊C4—222no—
1312C22⋊C4—222no—
1313C22⋊C4—222no—
1314C22⋊C4—222no—
1315C22⋊C4—222no—
1316C22⋊C4—222no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4C2×C4×D1114yes—
1327C22⋊C4C2×C4×D1114yes—
1328C22⋊C4C2×C4×D1114yes—
1329C42—41no—
1330C42—41no—
1331C42—41no—
1332C42—114no—
1333C42—114no—
1334C42—222no—
1335C42—441no—
1336C42—441no—
1337C42—441no—
1338C42—441no—
1339C42—441no—
1340C42—441no—
1341C42—441no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42C2×C4×D1114yescomplemented
1346C11#3445711yescharacteristic, complemented, Sylow
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—112no—
1354C23—112no—
1355C23—112no—
1356C23—112no—
1357C23—112no—
1358C23—112no—
1359C23—112no—
1360C23—228no—
1361C23—228no—
1362C23—221no—
1363C23—221no—
1364C23—221no—
1365C23—221no—
1366C23—221no—
1367C23—221no—
1368C23—221no—
1369C23—221no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—221no—
1375C23—221no—
1376C23—444no—
1377C23—444no—
1378C23—444no—
1379C23—444no—
1380C23—444no—
1381C23C22×C4×D1112yes—
1382C23C24×D1111yescharacteristic
1383Q8—444no—
1384D4—228no—
1385D4—228no—
1386D4—444no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—44no—
1424C2×C4—112no—
1425C2×C4—112no—
1426C2×C4—112no—
1427C2×C4—112no—
1428C2×C4—112no—
1429C2×C4—112no—
1430C2×C4—228no—
1431C2×C4—228no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—444no—
1466C2×C4—444no—
1467C2×C4—444no—
1468C2×C4—444no—
1469C2×C4—444no—
1470C2×C4—444no—
1471C2×C4—444no—
1472C2×C4—444no—
1473C2×C4—882no—
1474C2×C4—882no—
1475C2×C4—882no—
1476C2×C4—882no—
1477C2×C4—882no—
1478C2×C4—882no—
1479C2×C4C22×C4×D1112yes—
1480C2×C4C22×C4×D1112yes—
1481C2×C4C22×C4×D1112yes—
1482C2×C4C22×C4×D1112yes—
1483C2×C4C22×C4×D1112yes—
1484C2×C4C22×C4×D1112yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—114no—
1493C22—114no—
1494C22—222no—
1495C22—222no—
1496C22—222no—
1497C22—222no—
1498C22—222no—
1499C22—222no—
1500C22—222no—
1501C22—222no—
1502C22—222no—
1503C22—222no—
1504C22—222no—
1505C22—222no—
1506C22—222no—
1507C22—222no—
1508C22—222no—
1509C22—4416no—
1510C22—441no—
1511C22—441no—
1512C22—441no—
1513C22—441no—
1514C22C23×C4×D1111yescharacteristic
1515C22D11×H(5,𝔽2)11yescharacteristic
1516C22D11×H(5,𝔽2)11yescharacteristic
1517C22D11×H(5,𝔽2)11yescharacteristic
1518C22D11×2−1+411yescharacteristic
1519C22D11×2−1+411yescharacteristic
1520C22#1062345711yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—222no—
1536C4—222no—
1537C4—222no—
1538C4—222no—
1539C4—222no—
1540C4—222no—
1541C4—441no—
1542C4—441no—
1543C4—441no—
1544C4—441no—
1545C4—441no—
1546C4—441no—
1547C4—441no—
1548C2—42no—
1549C2—224no—
1550C2—224no—
1551C2—442no—
1552C2D11×#52011yescharacteristic
1553C2D11×#52011yescharacteristic
1554C2#1308182211yescharacteristic
1555C2#1308276911yescharacteristic
1556C2#1308282711yescharacteristic
1557C2#1308282711yescharacteristic
1558C2#1308286011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2383C2
socle, cosocleC23×C11C25
prime radicalC2×#66935C22
hypercenter#2383D11
hypocenterC11#34457
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2383

Complements

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

NH ≅ G/Ntype
2. #13071804C2semidirect
3. #13071789C2semidirect
4. #13071765C2semidirect
5. #13071624C2semidirect
6. #13071620C2semidirect
7. #13071603C2semidirect
8. #13071601C2semidirect
10. #13071517C2semidirect
11. #13071516C2semidirect
12. #13071475C2semidirect
13. #13071473C2semidirect
14. #13071464C2semidirect
15. #13071460C2semidirect
16. #13071395C2semidirect
17. #13071389C2semidirect
18. #13071350C2semidirect
19. #13071345C2semidirect
20. #13071325C2semidirect
21. #13071289C2semidirect
22. #13071286C2semidirect
23. #13071280C2semidirect
24. #13071248C2semidirect
25. #13071247C2semidirect
26. #13071238C2semidirect
27. #13071237C2semidirect
29. D11×#385C2semidirect
30. D11×#385C2semidirect
31. C11×#2383C2semidirect
34. #10623236C4semidirect
49. C2×C4⋊C4×D11C22semidirect
63. C2×C4×Dic22C22semidirect
64. C11×#389C22semidirect
65. C11×#389C22semidirect
66. C11×#389C22semidirect
70. C11×#387C22semidirect
71. C11×#387C22semidirect
72. C11×#387C22semidirect
76. C11×#384C22semidirect
77. C11×#383C22semidirect
81. #10622603C22semidirect
91. #10622602C22semidirect
92. #10622602C22semidirect
93. #10622602C22semidirect
95. #10622600C22semidirect
96. #10622598C22semidirect
97. #10622598C22semidirect
98. #10622594C22semidirect
99. #10622594C22semidirect
100. #10622594C22semidirect
101. #10622591C22semidirect
102. #10622590C22semidirect
103. #10622589C22semidirect
104. #10622589C22semidirect
105. C4⋊C4×Dic11C22semidirect
106. #10622587C22semidirect
107. #10622586C22semidirect
108. #10622586C22semidirect
109. #10622586C22semidirect
110. #10622585C22semidirect
111. #10622585C22semidirect
112. #10622585C22semidirect
113. #10622585C22semidirect
129. #10622553C22semidirect
134. C4×(C2×D11)⋊C4C22semidirect
135. #10622549C22semidirect
136. C4×C4⋊Dic11C22semidirect
137. #10622546C22semidirect
138. C4×Dic11⋊C4C22semidirect
139. #10622541C22semidirect
140. #10622283C22semidirect
141. #10622283C22semidirect
142. #10622282C22semidirect
143. #10622282C22semidirect
151. #10622281C22semidirect
152. #10622281C22semidirect
154. #10622280C22semidirect
167. #10622277C22semidirect
172. #10622268C22semidirect
173. #10622268C22semidirect
174. #10622267C22semidirect
175. #10622267C22semidirect
176. #10622267C22semidirect
177. #10622266C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622264C22semidirect
181. #10622263C22semidirect
182. #10622263C22semidirect
183. #10622262C22semidirect
184. #10622261C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
213. C11×#126C2×C4semidirect
303. #66950C2×C4semidirect
304. #66949C2×C4semidirect
305. #66947C2×C4semidirect
306. #66947C2×C4semidirect
310. #66946C2×C4semidirect
312. #66945C2×C4semidirect
318. #66938C2×C4semidirect
319. #66936C2×C4semidirect
324. C22⋊C4×D11C2×C4semidirect
325. C22⋊C4×D11C2×C4semidirect
326. #66932C2×C4semidirect
328. C4×D44C2×C4semidirect
330. #66925C2×C4semidirect
475. C2×C4×D11C22×C4semidirect
478. C2×Dic22C22×C4semidirect
488. C11×C4⋊C4C22×C4semidirect
489. C11×C4⋊C4C22×C4semidirect
490. C11×C4⋊C4C22×C4semidirect
500. C42×C11C22×C4semidirect
526. (C2×D11)⋊C4C22×C4semidirect
527. (C2×D11)⋊C4C22×C4semidirect
528. (C2×D11)⋊C4C22×C4semidirect
536. C4⋊Dic11C22×C4semidirect
537. C4⋊Dic11C22×C4semidirect
552. Dic11⋊C4C22×C4semidirect
553. Dic11⋊C4C22×C4semidirect
554. Dic11⋊C4C22×C4semidirect
566. C4×Dic11C22×C4semidirect
567. C4×Dic11C22×C4semidirect
570. #2383D11semidirect
784. #389C2×D11semidirect
785. #389C2×D11semidirect
786. #389C2×D11semidirect
816. #387C2×D11semidirect
817. #387C2×D11semidirect
818. #387C2×D11semidirect
857. #384C2×D11semidirect
859. #383C2×D11semidirect
982. #126C4×D11semidirect
1292. C4⋊C4C2×C4×D11semidirect
1293. C4⋊C4C2×C4×D11semidirect
1294. C4⋊C4C2×C4×D11semidirect
1345. C42C2×C4×D11semidirect
1346. C11#34457semidirect

Maximal subgroups

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

subgroupindex
C2×#106232362
#130718042
#130717892
#130717652
#130716242
#130716202
#130716032
#130716012
#130715942
#130715172
#130715162
#130714752
#130714732
#130714642
#130714602
#130713952
#130713892
#130713502
#130713452
#130713252
#130712892
#130712862
#130712802
#130712482
#130712472
#130712382
#130712372
#130711172
D11×#3852
C11×#23832
#3445711