Finite Group Databasebeta

← #14916468

Subgroups — #14916468

Order 2816.

2248 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×#10623178C211yesmaximal, characteristic
2#13071798C211yesmaximal, characteristic, complemented
3#13071788C211yesmaximal, characteristic, complemented
4#13071785C211yesmaximal, characteristic, complemented
5#13071781C211yesmaximal, characteristic, complemented
6#13071780C211yesmaximal, characteristic, complemented
7#13071777C211yesmaximal, characteristic, complemented
8#13071775C211yesmaximal, characteristic, complemented
9#13071771C211yesmaximal, characteristic, complemented
10#13071769C211yesmaximal, characteristic, complemented
11#13071769C211yesmaximal, characteristic, complemented
12#13071763C211yesmaximal, characteristic, complemented
13#13071761C211yesmaximal, characteristic, complemented
14#13071760C211yesmaximal, characteristic, complemented
15#13071758C211yesmaximal, characteristic, complemented
16#13071173C211yesmaximal, characteristic, complemented
17#13071159C211yesmaximal, characteristic, complemented
18#13071157C211yesmaximal, characteristic, complemented
19#13071154C211yesmaximal, characteristic, complemented
20C22⋊Q8×Dic11C211yesmaximal, characteristic, complemented
21#13071150C211yesmaximal, characteristic, complemented
22#13071146C211yesmaximal, characteristic, complemented
23#13071143C211yesmaximal, characteristic, complemented
24#13071137C211yesmaximal, characteristic, complemented
25#13071137C211yesmaximal, characteristic, complemented
26#13071133C211yesmaximal, characteristic, complemented
27#13071128C211yesmaximal, characteristic, complemented
28#13071128C211yesmaximal, characteristic, complemented
29#13071124C211yesmaximal, characteristic, complemented
30#13071122C211yesmaximal, characteristic, complemented
31C11×#2378C211yesmaximal, characteristic, complemented
32C2×C11×C22⋊Q8C2211yescharacteristic
33C2×#67000C2211yescharacteristic
34C2×#66999C2211yescharacteristic
35C2×Q8×Dic11C2211yescharacteristic
36C2×#66983C2211yescharacteristic
37C2×#66982C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39#10623178C4116yescomplemented
40C2×#66950C2211yescharacteristic
41C2×#66949C2211yescharacteristic
42C2×#66948C2211yescharacteristic
43C2×#66947C2211yescharacteristic
44C2×#66947C2211yescharacteristic
45C2×#66946C2211yescharacteristic
46C2×#66946C2211yescharacteristic
47C2×#66946C2211yescharacteristic
48C2×#66942C2211yescharacteristic
49C2×#66940C2211yescharacteristic
50C2×#66938C2211yescharacteristic
51C2×#66937C2211yescharacteristic
52C2×#66937C2211yescharacteristic
53C2×#66936C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×C42×D11C2211yescharacteristic
58C2×C42×D11C2211yescharacteristic
59C2×C42×D11C2211yescharacteristic
60C11×#391C2211yescharacteristic
61C11×#391C2211yescharacteristic
62C11×#389C2211yescharacteristic
63C11×#389C2211yescharacteristic
64C11×#388C2211yescharacteristic
65C11×#388C2211yescharacteristic
66C11×#388C2211yescharacteristic
67C11×#388C2211yescharacteristic
68C11×#387C2211yescharacteristic
69C11×#387C2211yescharacteristic
70C11×#387C2211yescharacteristic
71C11×#387C2211yescharacteristic
72C11×#381C2211yescharacteristic
73C11×#380C2211yescharacteristic
74#10622843C2211yescharacteristic
75#10622825C2211yescharacteristic
76#10622603C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622601C2211yescharacteristic
84#10622600C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622600C2211yescharacteristic
87#10622598C2211yescharacteristic
88#10622594C2211yescharacteristic
89#10622594C2211yescharacteristic
90#10622591C2211yescharacteristic
91#10622591C2211yescharacteristic
92#10622590C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95C4⋊C4×Dic11C2211yescharacteristic
96C4⋊C4×Dic11C2211yescharacteristic
97C4⋊C4×Dic11C2211yescharacteristic
98#10622586C2211yescharacteristic
99#10622585C2211yescharacteristic
100#10622585C2211yescharacteristic
101#10622585C2211yescharacteristic
102#10622571C2211yescharacteristic
103#10622571C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622570C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622570C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622563C2211yescharacteristic
112#10622563C2211yescharacteristic
113#10622559C2211yescharacteristic
114#10622558C2211yescharacteristic
115#10622557C2211yescharacteristic
116C22⋊C4×Dic11C2211yescharacteristic
117C22⋊C4×Dic11C2211yescharacteristic
118C22⋊C4×Dic11C2211yescharacteristic
119#10622553C2211yescharacteristic
120#10622553C2211yescharacteristic
121#10622553C2211yescharacteristic
122#10622553C2211yescharacteristic
123#10622553C2211yescharacteristic
124#10622552C2211yescharacteristic
125#10622552C2211yescharacteristic
126#10622546C2211yescharacteristic
127#10622546C2211yescharacteristic
128#10622546C2211yescharacteristic
129C42×Dic11C2211yescharacteristic
130#10622542C2211yescharacteristic
131#10622541C2211yescharacteristic
132#10622283C2211yescharacteristic
133#10622283C2211yescharacteristic
134#10622283C2211yescharacteristic
135#10622283C2211yescharacteristic
136#10622283C2211yescharacteristic
137#10622283C2211yescharacteristic
138#10622282C2211yescharacteristic
139#10622282C2211yescharacteristic
140#10622282C2211yescharacteristic
141#10622282C2211yescharacteristic
142#10622281C2211yescharacteristic
143#10622281C2211yescharacteristic
144#10622281C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622280C2211yescharacteristic
148#10622280C2211yescharacteristic
149#10622280C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622277C2211yescharacteristic
166#10622277C2211yescharacteristic
167#10622277C2211yescharacteristic
168#10622268C2211yescharacteristic
169#10622268C2211yescharacteristic
170#10622268C2211yescharacteristic
171#10622267C2211yescharacteristic
172#10622267C2211yescharacteristic
173#10622267C2211yescharacteristic
174#10622266C2211yescharacteristic
175#10622265C2211yescharacteristic
176#10622265C2211yescharacteristic
177#10622263C2211yescharacteristic
178#10622263C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C22×D44C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×D44C2311yescharacteristic
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×Dic22C2311yescharacteristic
208C11×C22⋊Q8C2×C418yescomplemented
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231#67000C2×C418yescomplemented
232#66999C2×C418yescomplemented
233Q8×Dic11—42no—
234#66983C2×C418yescomplemented
235#66982C2×C418yescomplemented
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
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×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
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×Dic11—42no—
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#66949C2×C418yescomplemented
308#66948C2×C418yescomplemented
309#66947C2×C418yescomplemented
310#66947C2×C418yescomplemented
311#66946—42no—
312#66946—42no—
313#66946—42no—
314#66942C2×C418yescomplemented
315#66940—42no—
316#66938C2×C418yescomplemented
317#66937C2×C418yescomplemented
318#66937C2×C418yescomplemented
319#66936C2×C418yescomplemented
320(C22⋊D11)⋊C4—42no—
321(C22⋊D11)⋊C4—42no—
322(C22⋊D11)⋊C4—42no—
323C42×D11—42no—
324C42×D11—42no—
325C42×D11—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
370C4×#562—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C2×Q8×C11—41no—
376C2×Q8×C11—41no—
377C2×Q8×C11C22×C414yes—
378C22×C4×C11—41no—
379C22×C4×C11—41no—
380C22×C4×C11C22×C414yes—
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
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
395C2×C22⋊D11—41no—
396C2×C22⋊D11—41no—
397C2×C22⋊D11—41no—
398C2×C22⋊D11—41no—
399C2×C22⋊D11—41no—
400C2×C22⋊D11—41no—
401C2×C22⋊D11C22×C414yes—
402C2×C22⋊D11C22×C414yes—
403C2×C22⋊D11C22×C414yes—
404C22×Dic11—22no—
405C22×Dic11—22no—
406C22×Dic11—22no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11—41no—
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C2×D44—41no—
424C2×D44—41no—
425C2×D44—41no—
426C2×D44—41no—
427C2×D44—41no—
428C2×D44—41no—
429C2×D44C22×C414yes—
430C2×D44C22×C414yes—
431C2×D44C22×C414yes—
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—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×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11C22×C414yes—
457C2×C4×D11C22×C414yes—
458C2×C4×D11C22×C414yes—
459C2×Dic22—41no—
460C2×Dic22—41no—
461C2×Dic22C22×C414yes—
462C11×C4⋊C4—41no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C4⋊C4C22×C414yes—
469C11×C4⋊C4C22×C414yes—
470C11×C4⋊C4C22×C414yes—
471C11×C22⋊C4—41no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4C22×C414yes—
476C11×C22⋊C4C22×C414yes—
477C42×C11—41no—
478C42×C11—41no—
479C42×C11—41no—
480C42×C11—41no—
481C22⋊Dic11—41no—
482C22⋊Dic11—41no—
483C22⋊Dic11C22×C414yes—
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)⋊C4—41no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
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)⋊C4C22×C414yes—
503(C2×D11)⋊C4C22×C414yes—
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—
510(C2×D11)⋊C4C22×C414yes—
511C4⋊Dic11—41no—
512C4⋊Dic11—41no—
513C4⋊Dic11—41no—
514C4⋊Dic11—41no—
515C4⋊Dic11—41no—
516C4⋊Dic11—41no—
517C4⋊Dic11C22×C414yes—
518C4⋊Dic11C22×C414yes—
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—
533Dic11⋊C4C22×C414yes—
534C4×Dic11—22no—
535C4×Dic11—22no—
536C4×Dic11—22no—
537C4×Dic11—22no—
538C4×Dic11—22no—
539C4×Dic11—22no—
540C4×Dic11—22no—
541C4×Dic11—22no—
542C4×Dic11—22no—
543C4×Dic11—22no—
544C4×Dic11—22no—
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#2378—111no—
558#2378—111no—
559#2378—111no—
560#2378D1111yescharacteristic, complemented
561#2377—111no—
562#2377—111no—
563#2377—111no—
564#2377—111no—
565#2376—111no—
566#2376—111no—
567#2376—111no—
568#2376—111no—
569C4×#125—111no—
570C4×#124—111no—
571C4×#124—111no—
572C4×C22⋊Q8—111no—
573C4×C22⋊Q8—111no—
574C4×C22⋊Q8—111no—
575C4×C22⋊Q8—111no—
576C4×#123—111no—
577C4×#123—111no—
578C4×#123—111no—
579C4×#123—111no—
580C4×#121—111no—
581C4×#121—111no—
582C4×#121—111no—
583C4×#121—111no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11C23×C412yes—
591C23×C11C2511yescharacteristic
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
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×D11C23×C412yes—
611C22×D11C23×C412yes—
612C22×D11C23×C412yes—
613Q8×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—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—44no—
651C2×C4×C11C23×C412yes—
652C2×C4×C11C23×C412yes—
653C2×C4×C11C23×C412yes—
654C2×C4×C11C23×C412yes—
655C2×C4×C11C23×C412yes—
656C2×C4×C11C23×C412yes—
657C22⋊D11—44no—
658C22⋊D11—44no—
659C22⋊D11—44no—
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×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—44no—
692C2×Dic11—44no—
693C2×Dic11C23×C412yes—
694C2×Dic11C23×C412yes—
695C2×Dic11C23×C412yes—
696C2×Dic11C23×C412yes—
697C2×Dic11C23×C412yes—
698C2×Dic11H(5,𝔽2)12yes—
699C2×Dic11H(5,𝔽2)12yes—
700C2×Dic112−1+412yes—
701D44—44no—
702D44—44no—
703D44—44no—
704C4×D11—44no—
705C4×D11—44no—
706C4×D11—44no—
707C4×D11—44no—
708C4×D11—44no—
709C4×D11—44no—
710C4×D11—44no—
711C4×D11—44no—
712C4×D11—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×#123—111no—
722C2×C22⋊Q8—111no—
723C2×C22⋊Q8—111no—
724C2×C22⋊Q8—111no—
725C2×C22⋊Q8C2×D1111yescharacteristic
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×D4—111no—
738C22×C42—111no—
739C22×C42—111no—
740C22×C42—111no—
741C22×C42—111no—
742#391—111no—
743#391—111no—
744#391—111no—
745#391—111no—
746#391C2×D1111yescharacteristic
747#391C2×D1111yescharacteristic
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#388C2×D1111yescharacteristic
785#388C2×D1111yescharacteristic
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#387C2×D1111yescharacteristic
805#387C2×D1111yescharacteristic
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#386—111no—
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#385—111no—
830#385—111no—
831#385—111no—
832#382—111no—
833#382—111no—
834#382—111no—
835#381—111no—
836#381—111no—
837#381—111no—
838#381C2×D1111yescharacteristic
839#380—111no—
840#380—111no—
841#380—111no—
842#380—111no—
843#380—111no—
844#380—111no—
845#380—111no—
846#380C2×D1111yescharacteristic
847C4×C4⋊C4—111no—
848C4×C4⋊C4—111no—
849C4×C4⋊C4—111no—
850C4×C4⋊C4—111no—
851C4×C4⋊C4—111no—
852C4×C4⋊C4—111no—
853C4×C4⋊C4—111no—
854C4×C4⋊C4—111no—
855C4×C4⋊C4—111no—
856C4×C4⋊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⋊C4—111no—
867C4×C22⋊C4—111no—
868C4×C22⋊C4—111no—
869C43—111no—
870C22×C11—22no—
871C22×C11—22no—
872C22×C11—22no—
873C22×C11—41no—
874C22×C11—41no—
875C22×C11—41no—
876C22×C11—41no—
877C22×C11C24×C411yescharacteristic
878C22×C11C2×H(5,𝔽2)11yescharacteristic
879C22×C11C2×H(5,𝔽2)11yescharacteristic
880C22×C11C2×2−1+411yescharacteristic
881C22×C11#58511yescharacteristic
882C22×C11#58511yescharacteristic
883C22×C11#58511yescharacteristic
884C2×D11—22no—
885C2×D11—22no—
886C2×D11—22no—
887C2×D11—22no—
888C2×D11—22no—
889C2×D11—22no—
890C2×D11—22no—
891C2×D11—22no—
892C2×D11—22no—
893C2×D11—41no—
894C2×D11—41no—
895C2×D11—41no—
896C2×D11—41no—
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—
918C4×C11—41no—
919Dic11—22no—
920Dic11—22no—
921Dic11—22no—
922Dic11—22no—
923Dic11—22no—
924Dic11—41no—
925Dic11—41no—
926Dic11—41no—
927Dic11—41no—
928Dic11—41no—
929Dic11—41no—
930Dic11—41no—
931Dic11#56214yescomplemented
932C22×Q8—111no—
933C22×Q8C22×D1111yescharacteristic
934C22×D4—111no—
935C22×D4—111no—
936C22×D4—111no—
937C22×D4—111no—
938C22×D4—111no—
939C22×D4—111no—
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×C4—111no—
949C23×C4—111no—
950C23×C4—111no—
951C23×C4C22×D1111yescharacteristic
952#125—118no—
953#124—118no—
954#124—118no—
955#123—118no—
956#123—118no—
957#123—118no—
958#123—118no—
959C22⋊Q8—118no—
960C22⋊Q8—118no—
961C22⋊Q8—118no—
962C22⋊Q8C4×D1118yescomplemented
963#121—118no—
964#121—118no—
965#121—118no—
966#121—118no—
967C4×Q8—442no—
968C4×Q8—442no—
969C4×D4—442no—
970C4×D4—442no—
971C4×D4—442no—
972C4×D4—442no—
973C4×D4—442no—
974C4×D4—442no—
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⋊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⋊C4C22×D1111yescharacteristic
999C2×C4⋊C4C22×D1111yescharacteristic
1000C2×C4⋊C4C22×D1111yescharacteristic
1001C2×C4⋊C4C22×D1111yescharacteristic
1002C2×C4⋊C4C22×D1111yescharacteristic
1003C2×C4⋊C4C22×D1111yescharacteristic
1004C2×C4⋊C4C22×D1111yescharacteristic
1005C2×C4⋊C4C22×D1111yescharacteristic
1006C2×C4⋊C4C22×D1111yescharacteristic
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⋊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⋊C4C22×D1111yescharacteristic
1038C2×C22⋊C4C22×D1111yescharacteristic
1039C2×C22⋊C4C22×D1111yescharacteristic
1040C2×C22⋊C4C22×D1111yescharacteristic
1041C2×C22⋊C4C22×D1111yescharacteristic
1042C2×C22⋊C4C22×D1111yescharacteristic
1043C2×C42—111no—
1044C2×C42—111no—
1045C2×C42—111no—
1046C2×C42—111no—
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—442no—
1063C2×C42—442no—
1064C2×C42—442no—
1065C2×C42—442no—
1066C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1101#95C22×D1111yescharacteristic
1102#95C22×D1111yescharacteristic
1103#95C22×D1111yescharacteristic
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×C11C4×H(5,𝔽2)11yescharacteristic
1116C2×C11C4×H(5,𝔽2)11yescharacteristic
1117C2×C11C4×2−1+411yescharacteristic
1118C2×C11C2×#56211yescharacteristic
1119C2×C11#352911yescharacteristic
1120C2×C11#352911yescharacteristic
1121C2×C11#353111yescharacteristic
1122D11—42no—
1123D11—42no—
1124D11—42no—
1125C24—111no—
1126C24—111no—
1127C24—111no—
1128C24C23×D1111yescharacteristic
1129C2×Q8—41no—
1130C2×Q8—41no—
1131C2×Q8—114no—
1132C2×Q8—441no—
1133C2×Q8—441no—
1134C2×Q8C2×C4×D1114yes—
1135C2×D4—114no—
1136C2×D4—114no—
1137C2×D4—114no—
1138C2×D4—114no—
1139C2×D4—114no—
1140C2×D4—114no—
1141C2×D4—441no—
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×D4—441no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—111no—
1159C22×C4—111no—
1160C22×C4—111no—
1161C22×C4—114no—
1162C22×C4—114no—
1163C22×C4—114no—
1164C22×C4—111no—
1165C22×C4—111no—
1166C22×C4—111no—
1167C22×C4—111no—
1168C22×C4—111no—
1169C22×C4—111no—
1170C22×C4—111no—
1171C22×C4—222no—
1172C22×C4—222no—
1173C22×C4—222no—
1174C22×C4—222no—
1175C22×C4—222no—
1176C22×C4—222no—
1177C22×C4—222no—
1178C22×C4—222no—
1179C22×C4—222no—
1180C22×C4—222no—
1181C22×C4—222no—
1182C22×C4—222no—
1183C22×C4—441no—
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×C4C2×C4×D1114yes—
1202C22×C4C23×D1111yescharacteristic
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—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—114no—
1223C4⋊C4—114no—
1224C4⋊C4—114no—
1225C4⋊C4—114no—
1226C4⋊C4—114no—
1227C4⋊C4—114no—
1228C4⋊C4—114no—
1229C4⋊C4—441no—
1230C4⋊C4—441no—
1231C4⋊C4—441no—
1232C4⋊C4—441no—
1233C4⋊C4—441no—
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⋊C4C2×C4×D1114yes—
1246C4⋊C4C2×C4×D1114yes—
1247C4⋊C4C2×C4×D1114yes—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—114no—
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—441no—
1263C22⋊C4—441no—
1264C22⋊C4—441no—
1265C22⋊C4—441no—
1266C22⋊C4—441no—
1267C22⋊C4—441no—
1268C22⋊C4—441no—
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⋊C4—441no—
1282C22⋊C4C2×C4×D1114yes—
1283C22⋊C4C2×C4×D1114yes—
1284C42—41no—
1285C42—41no—
1286C42—41no—
1287C42—41no—
1288C42—114no—
1289C42—222no—
1290C42—222no—
1291C42—222no—
1292C42—222no—
1293C42—222no—
1294C42—222no—
1295C42—222no—
1296C42—222no—
1297C42—222no—
1298C42—222no—
1299C42—222no—
1300C42—441no—
1301C42—441no—
1302C42—441no—
1303C42—441no—
1304C42—441no—
1305C42—441no—
1306C42—441no—
1307C11C4×#56211yescharacteristic, complemented, Sylow
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—112no—
1315C23—112no—
1316C23—112no—
1317C23—221no—
1318C23—221no—
1319C23—221no—
1320C23—221no—
1321C23—221no—
1322C23—221no—
1323C23—221no—
1324C23—221no—
1325C23—221no—
1326C23—221no—
1327C23—221no—
1328C23—221no—
1329C23—221no—
1330C23—221no—
1331C23—221no—
1332C23—221no—
1333C23—221no—
1334C23—221no—
1335C23C22×C4×D1112yes—
1336C23C24×D1111yescharacteristic
1337Q8—44no—
1338Q8—444no—
1339D4—444no—
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—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—44no—
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—444no—
1422C2×C4—444no—
1423C2×C4—444no—
1424C2×C4—444no—
1425C2×C4—444no—
1426C2×C4—444no—
1427C2×C4—444no—
1428C2×C4—444no—
1429C2×C4—444no—
1430C2×C4—444no—
1431C2×C4—444no—
1432C2×C4C22×C4×D1112yes—
1433C2×C4C22×C4×D1112yes—
1434C2×C4C22×C4×D1112yes—
1435C2×C4C22×C4×D1112yes—
1436C2×C4C22×C4×D1112yes—
1437C2×C4C22×C4×D1112yes—
1438C22—22no—
1439C22—22no—
1440C22—22no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—222no—
1446C22—222no—
1447C22—222no—
1448C22—222no—
1449C22—222no—
1450C22—222no—
1451C22—222no—
1452C22—222no—
1453C22—222no—
1454C22—441no—
1455C22—441no—
1456C22—441no—
1457C22—441no—
1458C22—441no—
1459C22—441no—
1460C22—441no—
1461C22—441no—
1462C22—441no—
1463C22—441no—
1464C22—441no—
1465C22—441no—
1466C22C23×C4×D1111yescharacteristic
1467C22D11×H(5,𝔽2)11yescharacteristic
1468C22D11×H(5,𝔽2)11yescharacteristic
1469C22#1062345511yescharacteristic
1470C22D11×2−1+411yescharacteristic
1471C22#1062345711yescharacteristic
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—41no—
1487C4—114no—
1488C4—222no—
1489C4—222no—
1490C4—222no—
1491C4—222no—
1492C4—222no—
1493C4—441no—
1494C4—441no—
1495C4—441no—
1496C4—441no—
1497C4—441no—
1498C4—441no—
1499C4—441no—
1500C2—42no—
1501C2—442no—
1502C2—442no—
1503C2—442no—
1504C2#1308182011yescharacteristic
1505C2#1308182211yescharacteristic
1506C2#1308182511yescharacteristic
1507C2D11×#56211yescharacteristic
1508C2#1308275311yescharacteristic
1509C2#1308275711yescharacteristic
1510C2#1308276211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2378C2
socle, cosocleC23×C11C25
prime radicalC2×#10623178C2
hypercenter#2378D11
hypocenterC11C4×#562
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2378

Complements

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

NH ≅ G/Ntype
2. #13071798C2semidirect
3. #13071788C2semidirect
4. #13071785C2semidirect
5. #13071781C2semidirect
6. #13071780C2semidirect
7. #13071777C2semidirect
8. #13071775C2semidirect
9. #13071771C2semidirect
10. #13071769C2semidirect
11. #13071769C2semidirect
12. #13071763C2semidirect
13. #13071761C2semidirect
14. #13071760C2semidirect
15. #13071758C2semidirect
16. #13071173C2semidirect
17. #13071159C2semidirect
18. #13071157C2semidirect
19. #13071154C2semidirect
20. C22⋊Q8×Dic11C2semidirect
21. #13071150C2semidirect
22. #13071146C2semidirect
23. #13071143C2semidirect
24. #13071137C2semidirect
25. #13071137C2semidirect
26. #13071133C2semidirect
27. #13071128C2semidirect
28. #13071128C2semidirect
29. #13071124C2semidirect
30. #13071122C2semidirect
31. C11×#2378C2semidirect
39. #10623178C4semidirect
208. C11×C22⋊Q8C2×C4semidirect
231. #67000C2×C4semidirect
232. #66999C2×C4semidirect
234. #66983C2×C4semidirect
235. #66982C2×C4semidirect
306. #66950C2×C4semidirect
307. #66949C2×C4semidirect
308. #66948C2×C4semidirect
309. #66947C2×C4semidirect
310. #66947C2×C4semidirect
314. #66942C2×C4semidirect
316. #66938C2×C4semidirect
317. #66937C2×C4semidirect
318. #66937C2×C4semidirect
319. #66936C2×C4semidirect
560. #2378D11semidirect
931. Dic11#562semidirect
962. C22⋊Q8C4×D11semidirect
1307. C11C4×#562semidirect

Maximal subgroups

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

subgroupindex
C2×#106231782
#130717982
#130717882
#130717852
#130717812
#130717802
#130717772
#130717752
#130717712
#130717692
#130717632
#130717612
#130717602
#130717582
#130711732
#130711592
#130711572
#130711542
C22⋊Q8×Dic112
#130711502
#130711462
#130711432
#130711372
#130711332
#130711282
#130711242
#130711222
C11×#23782
C4×#56211