Finite Group Databasebeta

← #14912900

Subgroups — #14912900

Order 2816.

2294 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623171C211yesmaximal, characteristic
2#13071428C211yesmaximal, characteristic, complemented
3#13071423C211yesmaximal, characteristic, complemented
4#13071406C211yesmaximal, characteristic, complemented
5#13071400C211yesmaximal, characteristic, complemented
6#13071398C211yesmaximal, characteristic, complemented
7#13071396C211yesmaximal, characteristic, complemented
8#13071367C211yesmaximal, characteristic, complemented
9#13071359C211yesmaximal, characteristic, complemented
10#13071325C211yesmaximal, characteristic, complemented
11#13071304C211yesmaximal, characteristic
12#13071297C211yesmaximal, characteristic, complemented
13#13071265C211yesmaximal, characteristic, complemented
14#13071256C211yesmaximal, characteristic, complemented
15#13071222C211yesmaximal, characteristic, complemented
16#13071185C211yesmaximal, characteristic, complemented
17#13071170C211yesmaximal, characteristic, complemented
18#13071166C211yesmaximal, characteristic, complemented
19#13071159C211yesmaximal, characteristic, complemented
20#13071157C211yesmaximal, characteristic, complemented
21#13071157C211yesmaximal, characteristic, complemented
22C22⋊Q8×Dic11C211yesmaximal, characteristic, complemented
23#13071150C211yesmaximal, characteristic, complemented
24#13071150C211yesmaximal, characteristic, complemented
25#13071137C211yesmaximal, characteristic, complemented
26#13071133C211yesmaximal, characteristic, complemented
27#13071128C211yesmaximal, characteristic
28C4×#66940C211yesmaximal, characteristic, complemented
29C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
30C4×#66945C211yesmaximal, characteristic, complemented
31C11×#2332C211yesmaximal, characteristic, complemented
32C2×C11×C22⋊Q8C2211yescharacteristic
33C2×#67000C2211yescharacteristic
34C2×Q8×Dic11C2211yescharacteristic
35C2×#66997C2211yescharacteristic
36C2×#66982C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39#10623171C4116yescomplemented
40C2×#66951C2211yescharacteristic
41C2×#66949C2211yescharacteristic
42C2×#66949C2211yescharacteristic
43C2×#66947C2211yescharacteristic
44C2×#66946C2211yescharacteristic
45C2×#66945C2211yescharacteristic
46C2×#66945C2211yescharacteristic
47C2×#66940C2211yescharacteristic
48C2×#66940C2211yescharacteristic
49C2×#66940C2211yescharacteristic
50C2×#66938C2211yescharacteristic
51C2×#66938C2211yescharacteristic
52C2×#66937C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×#66932C2211yescharacteristic
57C2×C42×D11C2211yescharacteristic
58C2×C42×D11C2211yescharacteristic
59C2×C4×Dic22C2211yescharacteristic
60C11×#391C2211yescharacteristic
61C11×#391C2211yescharacteristic
62C11×#388C2211yescharacteristic
63C11×#388C2211yescharacteristic
64C11×#388C2211yescharacteristic
65C11×#388C2211yescharacteristic
66C11×#387C2211yescharacteristic
67C11×#387C2211yescharacteristic
68C11×#387C2211yescharacteristic
69C11×#387C2211yescharacteristic
70C11×#381C2211yescharacteristic
71C4×C11×C4⋊C4C2211yescharacteristic
72C4×C11×C4⋊C4C2211yescharacteristic
73C4×C11×C22⋊C4C2211yescharacteristic
74#10622843C2211yescharacteristic
75#10622825C2211yescharacteristic
76#10622603C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622598C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622591C2211yescharacteristic
85#10622591C2211yescharacteristic
86#10622590C2211yescharacteristic
87#10622589C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93#10622585C2211yescharacteristic
94#10622571C2211yescharacteristic
95#10622570C2211yescharacteristic
96#10622570C2211yescharacteristic
97#10622570C2211yescharacteristic
98#10622569C2211yescharacteristic
99#10622563C2211yescharacteristic
100#10622563C2211yescharacteristic
101#10622559C2211yescharacteristic
102#10622558C2211yescharacteristic
103#10622558C2211yescharacteristic
104#10622558C2211yescharacteristic
105#10622557C2211yescharacteristic
106C22⋊C4×Dic11C2211yescharacteristic
107C22⋊C4×Dic11C2211yescharacteristic
108C22⋊C4×Dic11C2211yescharacteristic
109C22⋊C4×Dic11C2211yescharacteristic
110C22⋊C4×Dic11C2211yescharacteristic
111#10622553C2211yescharacteristic
112#10622553C2211yescharacteristic
113#10622553C2211yescharacteristic
114#10622553C2211yescharacteristic
115#10622553C2211yescharacteristic
116#10622552C2211yescharacteristic
117C4×(C2×D11)⋊C4C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic
120C4×C4⋊Dic11C2211yescharacteristic
121#10622546C2211yescharacteristic
122#10622546C2211yescharacteristic
123#10622546C2211yescharacteristic
124C4×Dic11⋊C4C2211yescharacteristic
125C4×Dic11⋊C4C2211yescharacteristic
126C4×Dic11⋊C4C2211yescharacteristic
127C42×Dic11C2211yescharacteristic
128C42×Dic11C2211yescharacteristic
129C42×Dic11C2211yescharacteristic
130C42×Dic11C2211yescharacteristic
131#10622542C2211yescharacteristic
132#10622283C2211yescharacteristic
133#10622283C2211yescharacteristic
134#10622283C2211yescharacteristic
135#10622283C2211yescharacteristic
136#10622283C2211yescharacteristic
137#10622283C2211yescharacteristic
138#10622282C2211yescharacteristic
139#10622282C2211yescharacteristic
140#10622281C2211yescharacteristic
141#10622281C2211yescharacteristic
142#10622281C2211yescharacteristic
143#10622280C2211yescharacteristic
144#10622280C2211yescharacteristic
145#10622280C2211yescharacteristic
146#10622279C2211yescharacteristic
147#10622279C2211yescharacteristic
148#10622279C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622277C2211yescharacteristic
158#10622268C2211yescharacteristic
159#10622267C2211yescharacteristic
160#10622266C2211yescharacteristic
161#10622265C2211yescharacteristic
162#10622265C2211yescharacteristic
163#10622264C2211yescharacteristic
164#10622264C2211yescharacteristic
165#10622263C2211yescharacteristic
166#10622263C2211yescharacteristic
167#10622262C2211yescharacteristic
168#10622262C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622261C2211yescharacteristic
177#10622261C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C11×C22⋊Q8C2×C418yescomplemented
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227#67000C2×C418yescomplemented
228Q8×Dic11—42no—
229#66997C2×C418yescomplemented
230#66982C2×C418yescomplemented
231C4×C22⋊D11C2×C418yescomplemented
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—42no—
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×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#66951C2×C418yescomplemented
307#66949C2×C418yescomplemented
308#66949C2×C418yescomplemented
309#66947C2×C418yescomplemented
310#66946—42no—
311#66945—24no—
312#66945C2×C418yescomplemented
313#66940—24no—
314#66940—42no—
315#66940C2×C418yescomplemented
316#66938C2×C418yescomplemented
317#66938C2×C418yescomplemented
318#66937C2×C418yes—
319(C22⋊D11)⋊C4—24no—
320(C22⋊D11)⋊C4—24no—
321(C22⋊D11)⋊C4—42no—
322#66932C2×C418yescomplemented
323C42×D11—24no—
324C42×D11—42no—
325C4×Dic22—24no—
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×#542—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C2×Q8×C11—41no—
375C2×Q8×C11—41no—
376C2×Q8×C11C22×C414yes—
377C22×C4×C11—41no—
378C22×C4×C11—41no—
379C22×C4×C11C22×C414yes—
380C22×C4×C11C2411yescharacteristic
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
394C2×C22⋊D11—22no—
395C2×C22⋊D11—22no—
396C2×C22⋊D11—41no—
397C2×C22⋊D11—41no—
398C2×C22⋊D11C22×C414yes—
399C2×C22⋊D11C22×C414yes—
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—41no—
405C22×Dic11—41no—
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
420C2×D44—41no—
421C2×D44—41no—
422C2×D44C22×C414yes—
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
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×Dic22—22no—
442C2×Dic22—22no—
443C2×Dic22—41no—
444C2×Dic22—41no—
445C2×Dic22C22×C414yes—
446C2×Dic22C22×C414yes—
447C11×C4⋊C4—22no—
448C11×C4⋊C4—22no—
449C11×C4⋊C4—41no—
450C11×C4⋊C4—41no—
451C11×C4⋊C4C22×C414yes—
452C11×C4⋊C4C22×C414yes—
453C11×C4⋊C4C22×C414yes—
454C11×C22⋊C4—22no—
455C11×C22⋊C4—22no—
456C11×C22⋊C4—41no—
457C11×C22⋊C4—41no—
458C11×C22⋊C4C22×C414yes—
459C11×C22⋊C4C22×C414yes—
460C42×C11—22no—
461C42×C11—22no—
462C42×C11—41no—
463C42×C11—41no—
464C42×C11—41no—
465C42×C11—41no—
466C22⋊Dic11—41no—
467C22⋊Dic11—41no—
468C22⋊Dic11C22×C414yes—
469C22⋊Dic11C22×C414yes—
470(C2×D11)⋊C4—22no—
471(C2×D11)⋊C4—22no—
472(C2×D11)⋊C4—22no—
473(C2×D11)⋊C4—22no—
474(C2×D11)⋊C4—41no—
475(C2×D11)⋊C4—41no—
476(C2×D11)⋊C4—41no—
477(C2×D11)⋊C4—41no—
478(C2×D11)⋊C4—41no—
479(C2×D11)⋊C4—41no—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4C22×C414yes—
483(C2×D11)⋊C4C22×C414yes—
484(C2×D11)⋊C4C22×C414yes—
485(C2×D11)⋊C4C22×C414yes—
486(C2×D11)⋊C4C22×C414yes—
487(C2×D11)⋊C4C22×C414yes—
488(C2×D11)⋊C4C22×C414yes—
489(C2×D11)⋊C4C22×C414yes—
490C4⋊Dic11—22no—
491C4⋊Dic11—22no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495C4⋊Dic11—41no—
496C4⋊Dic11C22×C414yes—
497Dic11⋊C4—22no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—22no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4C22×C414yes—
510Dic11⋊C4C22×C414yes—
511Dic11⋊C4C22×C414yes—
512Dic11⋊C4C22×C414yes—
513Dic11⋊C4C22×C414yes—
514Dic11⋊C4C22×C414yes—
515C4×Dic11—22no—
516C4×Dic11—22no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—22no—
520C4×Dic11—22no—
521C4×Dic11—22no—
522C4×Dic11—22no—
523C4×Dic11—22no—
524C4×Dic11—22no—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—22no—
529C4×Dic11—41no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11C22×C414yes—
538C4×Dic11C22×C414yes—
539C4×Dic11C22×C414yes—
540C4×Dic11C22×C414yes—
541C4×Dic11#4114yes—
542C4×Dic11#4114yes—
543C2×#542—111no—
544#2337—111no—
545#2337—111no—
546#2335—111no—
547#2335—111no—
548#2334—111no—
549#2334—111no—
550#2332—111no—
551#2332D1111yescharacteristic, complemented
552#2331—111no—
553#2326—111no—
554#2324—111no—
555#2323—111no—
556#2320—111no—
557#2319—111no—
558#2314—111no—
559C4×C4⋊Q8—111no—
560C4×#126—111no—
561C4×#126—111no—
562C4×#124—111no—
563C4×#124—111no—
564C4×#124—111no—
565C4×C22⋊Q8—111no—
566C4×C22⋊Q8—111no—
567C4×C22⋊Q8—111no—
568C4×#123—111no—
569C4×#123—111no—
570C4×#121—111no—
571C42×Q8—111no—
572C42×D4—111no—
573C4×#117—111no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—21no—
580C23×C11C23×C412yes—
581C23×C11C2511yescharacteristic
582C22×D11—21no—
583C22×D11—21no—
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×D11C23×C412yes—
595C22×D11C23×C412yes—
596Q8×C11—44no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
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—44no—
632C2×C4×C11C23×C412yes—
633C2×C4×C11C23×C412yes—
634C2×C4×C11C23×C412yes—
635C2×C4×C11C23×C412yes—
636C2×C4×C11C23×C412yes—
637C2×C4×C11C23×C412yes—
638C2×C4×C11C2×#4112yes—
639C2×C4×C11C2×#4112yes—
640C22⋊D11—28no—
641C22⋊D11—44no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
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—44no—
673C2×Dic11—44no—
674C2×Dic11C23×C412yes—
675C2×Dic11C23×C412yes—
676C2×Dic11C23×C412yes—
677C2×Dic11C23×C412yes—
678C2×Dic11C23×C412yes—
679C2×Dic11C23×C412yes—
680C2×Dic11C2×#4112yes—
681C2×Dic11C2×#4112yes—
682C2×Dic11C2×#4112yes—
683C2×Dic11C2×#4112yes—
684C2×Dic11H(5,𝔽2)12yes—
685C2×Dic112−1+412yes—
686D44—44no—
687C4×D11—28no—
688C4×D11—44no—
689C4×D11—44no—
690C4×D11—44no—
691C4×D11—44no—
692C4×D11—44no—
693Dic22—28no—
694Dic22—44no—
695#542—1116no—
696C2×C4⋊Q8—111no—
697C2×#126—111no—
698C2×#126—111no—
699C2×#124—111no—
700C2×#124—111no—
701C2×#124—111no—
702C2×#123—111no—
703C2×#123—111no—
704C2×C22⋊Q8—111no—
705C2×C22⋊Q8—111no—
706C2×C22⋊Q8C2×D1111yescharacteristic
707C2×#121—111no—
708C2×C4×Q8—111no—
709C2×C4×Q8—111no—
710C2×C4×Q8—111no—
711C2×C4×Q8—111no—
712C2×C4×Q8—111no—
713C2×C4×D4—111no—
714C2×C4×D4—111no—
715C2×C4×D4—111no—
716C2×C4×D4—111no—
717C2×C4×D4—111no—
718C2×#117—111no—
719C2×#117—111no—
720C22×C42—111no—
721C22×C42—111no—
722C22×C42—111no—
723#391—111no—
724#391—111no—
725#391—111no—
726#391—111no—
727#391—111no—
728#391—111no—
729#391C2×D1111yescharacteristic
730#391C2×D1111yescharacteristic
731#390—111no—
732#390—111no—
733#390—111no—
734#390—111no—
735#389—111no—
736#389—111no—
737#389—111no—
738#389—111no—
739#389—111no—
740#389—111no—
741#389—111no—
742#389—111no—
743#388—111no—
744#388—111no—
745#388—111no—
746#388—111no—
747#388—111no—
748#388—111no—
749#388—111no—
750#388—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#388C2×D1111yescharacteristic
764#388C2×D1111yescharacteristic
765#388C2×D1111yescharacteristic
766#388C2×D1111yescharacteristic
767#387—111no—
768#387—111no—
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387C2×D1111yescharacteristic
780#387C2×D1111yescharacteristic
781#387C2×D1111yescharacteristic
782#387C2×D1111yescharacteristic
783#386—111no—
784#386—111no—
785#386—111no—
786#386—111no—
787#385—111no—
788#385—111no—
789#385—111no—
790#385—111no—
791#385—111no—
792#385—111no—
793#385—111no—
794#385—111no—
795#384—111no—
796#383—111no—
797#383—111no—
798#382—111no—
799#382—111no—
800#382—111no—
801#381—111no—
802#381C2×D1111yescharacteristic
803#380—111no—
804#380—111no—
805#380—111no—
806#380—111no—
807C4×C4⋊C4—111no—
808C4×C4⋊C4—111no—
809C4×C4⋊C4—111no—
810C4×C4⋊C4—111no—
811C4×C4⋊C4—111no—
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4—111no—
815C4×C4⋊C4—111no—
816C4×C4⋊C4—111no—
817C4×C4⋊C4—111no—
818C4×C4⋊C4—111no—
819C4×C4⋊C4—111no—
820C4×C4⋊C4—111no—
821C4×C4⋊C4—111no—
822C4×C4⋊C4—111no—
823C4×C4⋊C4—111no—
824C4×C4⋊C4—111no—
825C4×C4⋊C4C2×D1111yescharacteristic
826C4×C4⋊C4C2×D1111yescharacteristic
827C4×C22⋊C4—111no—
828C4×C22⋊C4—111no—
829C4×C22⋊C4—111no—
830C4×C22⋊C4—111no—
831C4×C22⋊C4—111no—
832C4×C22⋊C4—111no—
833C4×C22⋊C4—111no—
834C4×C22⋊C4—111no—
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⋊C4C2×D1111yescharacteristic
845#376—111no—
846#376—111no—
847C43—111no—
848C43—111no—
849C43—111no—
850C43—111no—
851C22×C11—22no—
852C22×C11—22no—
853C22×C11—22no—
854C22×C11—41no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11C24×C411yescharacteristic
859C22×C11C22×#4111yescharacteristic
860C22×C11C22×#4111yescharacteristic
861C22×C11C2×H(5,𝔽2)11yescharacteristic
862C22×C11C2×2−1+411yescharacteristic
863C22×C11#58511yescharacteristic
864C22×C11#58511yescharacteristic
865C2×D11—22no—
866C2×D11—22no—
867C2×D11—22no—
868C2×D11—22no—
869C2×D11—22no—
870C2×D11—22no—
871C2×D11—41no—
872C2×D11—41no—
873C2×D11—41no—
874C2×D11—41no—
875C2×D11—41no—
876C2×D11—41no—
877C2×D11—41no—
878C2×D11—41no—
879C4×C11—22no—
880C4×C11—22no—
881C4×C11—22no—
882C4×C11—22no—
883C4×C11—22no—
884C4×C11—22no—
885C4×C11—22no—
886C4×C11—22no—
887C4×C11—41no—
888C4×C11—41no—
889C4×C11—41no—
890C4×C11—41no—
891C4×C11—41no—
892C4×C11—41no—
893Dic11—22no—
894Dic11—22no—
895Dic11—22no—
896Dic11—22no—
897Dic11—22no—
898Dic11—22no—
899Dic11—41no—
900Dic11—41no—
901Dic11—41no—
902Dic11—41no—
903Dic11—41no—
904Dic11—41no—
905Dic11C4×#4114yes—
906Dic11#54214yescomplemented
907C22×Q8—111no—
908C22×Q8—111no—
909C22×Q8C22×D1111yescharacteristic
910C22×D4—111no—
911C22×D4—111no—
912C22×D4—111no—
913C23×C4—111no—
914C23×C4—111no—
915C23×C4—111no—
916C23×C4—111no—
917C23×C4—111no—
918C23×C4—111no—
919C23×C4—111no—
920C23×C4—111no—
921C23×C4C22×D1111yescharacteristic
922C4⋊Q8—118no—
923#126—118no—
924#126—118no—
925#124—118no—
926#124—118no—
927#124—118no—
928#123—118no—
929#123—118no—
930C22⋊Q8—118no—
931C22⋊Q8—118no—
932C22⋊Q8C4×D1118yescomplemented
933#121—118no—
934C4×Q8—118no—
935C4×Q8—224no—
936C4×Q8—224no—
937C4×Q8—442no—
938C4×Q8—442no—
939C4×D4—118no—
940C4×D4—224no—
941C4×D4—224no—
942C4×D4—442no—
943C4×D4—442no—
944#117—118no—
945#117—224no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
972C2×C4⋊C4C22×D1111yescharacteristic
973C2×C4⋊C4C22×D1111yescharacteristic
974C2×C4⋊C4C22×D1111yescharacteristic
975C2×C4⋊C4C22×D1111yescharacteristic
976C2×C4⋊C4C22×D1111yescharacteristic
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1003C2×C22⋊C4C22×D1111yescharacteristic
1004C2×C22⋊C4C22×D1111yescharacteristic
1005C2×C22⋊C4C22×D1111yescharacteristic
1006C2×C22⋊C4C22×D1111yescharacteristic
1007C2×C22⋊C4C22×D1111yescharacteristic
1008C2×C42—111no—
1009C2×C42—111no—
1010C2×C42—111no—
1011C2×C42—111no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42—111no—
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—224no—
1037C2×C42—442no—
1038C2×C42—442no—
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#95C22×D1111yescharacteristic
1076#95C22×D1111yescharacteristic
1077#95C22×D1111yescharacteristic
1078#95C22×D1111yescharacteristic
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
1089C2×C11—42no—
1090C2×C11C2×C4×#4111yescharacteristic
1091C2×C11C4×H(5,𝔽2)11yescharacteristic
1092C2×C11C4×2−1+411yescharacteristic
1093C2×C11C2×#54211yescharacteristic
1094C2×C11#345511yescharacteristic
1095C2×C11#346011yescharacteristic
1096C2×C11#346111yescharacteristic
1097D11—42no—
1098D11—42no—
1099C24—111no—
1100C24—111no—
1101C24C23×D1111yescharacteristic
1102C2×Q8—41no—
1103C2×Q8—41no—
1104C2×Q8—114no—
1105C2×Q8—114no—
1106C2×Q8—222no—
1107C2×Q8—222no—
1108C2×Q8—441no—
1109C2×Q8—441no—
1110C2×Q8C2×C4×D1114yes—
1111C2×D4—114no—
1112C2×D4—114no—
1113C2×D4—114no—
1114C2×D4—222no—
1115C2×D4—222no—
1116C2×D4—441no—
1117C2×D4—441no—
1118C2×D4—441no—
1119C2×D4—441no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—114no—
1131C22×C4—114no—
1132C22×C4—111no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—111no—
1136C22×C4—111no—
1137C22×C4—111no—
1138C22×C4—222no—
1139C22×C4—222no—
1140C22×C4—222no—
1141C22×C4—222no—
1142C22×C4—222no—
1143C22×C4—222no—
1144C22×C4—222no—
1145C22×C4—222no—
1146C22×C4—222no—
1147C22×C4—222no—
1148C22×C4—222no—
1149C22×C4—222no—
1150C22×C4—222no—
1151C22×C4—222no—
1152C22×C4—441no—
1153C22×C4—441no—
1154C22×C4—441no—
1155C22×C4—441no—
1156C22×C4—441no—
1157C22×C4—441no—
1158C22×C4—441no—
1159C22×C4—441no—
1160C22×C4C2×C4×D1114yes—
1161C22×C4C23×D1111yescharacteristic
1162C22×C4C23×D1111yescharacteristic
1163C22×C4C23×D1111yescharacteristic
1164C22×C4C23×D1111yescharacteristic
1165C22×C4C23×D1111yescharacteristic
1166C22×C4C23×D1111yescharacteristic
1167C22×C4C23×D1111yescharacteristic
1168C22×C4C23×D1111yescharacteristic
1169C22×C4C23×D1111yescharacteristic
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1111yescharacteristic
1175C4⋊C4—22no—
1176C4⋊C4—22no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—114no—
1180C4⋊C4—114no—
1181C4⋊C4—114no—
1182C4⋊C4—114no—
1183C4⋊C4—114no—
1184C4⋊C4—114no—
1185C4⋊C4—114no—
1186C4⋊C4—222no—
1187C4⋊C4—222no—
1188C4⋊C4—222no—
1189C4⋊C4—222no—
1190C4⋊C4—222no—
1191C4⋊C4—222no—
1192C4⋊C4—222no—
1193C4⋊C4—222no—
1194C4⋊C4—441no—
1195C4⋊C4—441no—
1196C4⋊C4—441no—
1197C4⋊C4—441no—
1198C4⋊C4—441no—
1199C4⋊C4—441no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4C2×C4×D1114yes—
1205C4⋊C4C2×C4×D1114yes—
1206C4⋊C4C2×C4×D1114yes—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—114no—
1212C22⋊C4—114no—
1213C22⋊C4—114no—
1214C22⋊C4—114no—
1215C22⋊C4—114no—
1216C22⋊C4—114no—
1217C22⋊C4—114no—
1218C22⋊C4—114no—
1219C22⋊C4—114no—
1220C22⋊C4—114no—
1221C22⋊C4—222no—
1222C22⋊C4—222no—
1223C22⋊C4—222no—
1224C22⋊C4—222no—
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⋊C4C2×C4×D1114yes—
1236C22⋊C4C2×C4×D1114yes—
1237C42—22no—
1238C42—22no—
1239C42—41no—
1240C42—41no—
1241C42—41no—
1242C42—41no—
1243C42—114no—
1244C42—114no—
1245C42—114no—
1246C42—114no—
1247C42—114no—
1248C42—114no—
1249C42—222no—
1250C42—222no—
1251C42—222no—
1252C42—222no—
1253C42—222no—
1254C42—222no—
1255C42—222no—
1256C42—222no—
1257C42—222no—
1258C42—222no—
1259C42—222no—
1260C42—222no—
1261C42—222no—
1262C42—222no—
1263C42—441no—
1264C42—441no—
1265C42—441no—
1266C42—441no—
1267C42—441no—
1268C42—441no—
1269C42—441no—
1270C42—441no—
1271C11C4×#54211yescharacteristic, complemented, Sylow
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—112no—
1279C23—112no—
1280C23—221no—
1281C23—221no—
1282C23—221no—
1283C23—221no—
1284C23—221no—
1285C23—221no—
1286C23—221no—
1287C23—221no—
1288C23—221no—
1289C23—221no—
1290C23—221no—
1291C23—221no—
1292C23C22×C4×D1112yes—
1293C23C24×D1111yescharacteristic
1294Q8—44no—
1295Q8—228no—
1296Q8—444no—
1297D4—228no—
1298D4—444no—
1299D4—444no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
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—44no—
1335C2×C4—112no—
1336C2×C4—112no—
1337C2×C4—112no—
1338C2×C4—112no—
1339C2×C4—112no—
1340C2×C4—112no—
1341C2×C4—112no—
1342C2×C4—112no—
1343C2×C4—112no—
1344C2×C4—112no—
1345C2×C4—112no—
1346C2×C4—112no—
1347C2×C4—228no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
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—444no—
1379C2×C4—444no—
1380C2×C4—444no—
1381C2×C4—444no—
1382C2×C4—444no—
1383C2×C4—444no—
1384C2×C4—444no—
1385C2×C4C22×C4×D1112yes—
1386C2×C4C22×C4×D1112yes—
1387C2×C4C22×C4×D1112yes—
1388C2×C4C22×C4×D1112yes—
1389C2×C4C22×C4×D1112yes—
1390C2×C4C22×C4×D1112yes—
1391C2×C4#41×D1112yes—
1392C2×C4#41×D1112yes—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—222no—
1401C22—222no—
1402C22—222no—
1403C22—222no—
1404C22—222no—
1405C22—222no—
1406C22—441no—
1407C22—441no—
1408C22—441no—
1409C22—441no—
1410C22—441no—
1411C22—441no—
1412C22—441no—
1413C22—441no—
1414C22C23×C4×D1111yescharacteristic
1415C22C2×#41×D1111yescharacteristic
1416C22C2×#41×D1111yescharacteristic
1417C22D11×H(5,𝔽2)11yescharacteristic
1418C22#1062345511yescharacteristic
1419C22D11×2−1+411yescharacteristic
1420C22#1062345711yescharacteristic
1421C4—22no—
1422C4—22no—
1423C4—22no—
1424C4—22no—
1425C4—22no—
1426C4—22no—
1427C4—22no—
1428C4—22no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—114no—
1436C4—114no—
1437C4—222no—
1438C4—222no—
1439C4—222no—
1440C4—222no—
1441C4—222no—
1442C4—222no—
1443C4—441no—
1444C4—441no—
1445C4—441no—
1446C4—441no—
1447C4—441no—
1448C4—441no—
1449C2—42no—
1450C2—442no—
1451C2—442no—
1452C2C4×#41×D1111yescharacteristic
1453C2#1308182011yescharacteristic
1454C2#1308182511yescharacteristic
1455C2D11×#54211yescharacteristic
1456C2#1308200211yescharacteristic
1457C2#1308203611yescharacteristic
1458C2#1308204611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2332C2
socle, cosocleC23×C11C25
prime radicalC2×#66937C22
hypercenter#2332D11
hypocenterC11C4×#542
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2332

Complements

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

NH ≅ G/Ntype
2. #13071428C2semidirect
3. #13071423C2semidirect
4. #13071406C2semidirect
5. #13071400C2semidirect
6. #13071398C2semidirect
7. #13071396C2semidirect
8. #13071367C2semidirect
9. #13071359C2semidirect
10. #13071325C2semidirect
12. #13071297C2semidirect
13. #13071265C2semidirect
14. #13071256C2semidirect
15. #13071222C2semidirect
16. #13071185C2semidirect
17. #13071170C2semidirect
18. #13071166C2semidirect
19. #13071159C2semidirect
20. #13071157C2semidirect
21. #13071157C2semidirect
22. C22⋊Q8×Dic11C2semidirect
23. #13071150C2semidirect
24. #13071150C2semidirect
25. #13071137C2semidirect
26. #13071133C2semidirect
28. C4×#66940C2semidirect
29. C4×(C22⋊D11)⋊C4C2semidirect
30. C4×#66945C2semidirect
31. C11×#2332C2semidirect
39. #10623171C4semidirect
203. C11×C22⋊Q8C2×C4semidirect
227. #67000C2×C4semidirect
229. #66997C2×C4semidirect
230. #66982C2×C4semidirect
231. C4×C22⋊D11C2×C4semidirect
306. #66951C2×C4semidirect
307. #66949C2×C4semidirect
308. #66949C2×C4semidirect
309. #66947C2×C4semidirect
312. #66945C2×C4semidirect
315. #66940C2×C4semidirect
316. #66938C2×C4semidirect
317. #66938C2×C4semidirect
322. #66932C2×C4semidirect
551. #2332D11semidirect
906. Dic11#542semidirect
932. C22⋊Q8C4×D11semidirect
1271. C11C4×#542semidirect

Maximal subgroups

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

subgroupindex
C2×#106231712
#130714282
#130714232
#130714062
#130714002
#130713982
#130713962
#130713672
#130713592
#130713252
#130713042
#130712972
#130712652
#130712562
#130712222
#130711852
#130711702
#130711662
#130711592
#130711572
C22⋊Q8×Dic112
#130711502
#130711372
#130711332
#130711282
C4×#669402
C4×(C22⋊D11)⋊C42
C4×#669452
C11×#23322
C4×#54211