Finite Group Databasebeta

← #14918223

Subgroups — #14918223

Order 2816.

2074 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623134C211yesmaximal, characteristic
2#13071794C211yesmaximal, characteristic, complemented
3#13071776C211yesmaximal, characteristic, complemented
4#13071773C211yesmaximal, characteristic
5#13071759C211yesmaximal, characteristic, complemented
6#13071743C211yesmaximal, characteristic, complemented
7#13071738C211yesmaximal, characteristic, complemented
8#13071725C211yesmaximal, characteristic, complemented
9#13071689C211yesmaximal, characteristic, complemented
10#13071671C211yesmaximal, characteristic, complemented
11#13071622C211yesmaximal, characteristic, complemented
12#13071602C211yesmaximal, characteristic, complemented
13#13071554C211yesmaximal, characteristic, complemented
14#13071543C211yesmaximal, characteristic, complemented
15#13071507C211yesmaximal, characteristic, complemented
16#13071472C211yesmaximal, characteristic, complemented
17#13071425C211yesmaximal, characteristic, complemented
18#13071425C211yesmaximal, characteristic, complemented
19#13071425C211yesmaximal, characteristic, complemented
20#13071407C211yesmaximal, characteristic, complemented
21#13071398C211yesmaximal, characteristic, complemented
22#13071372C211yesmaximal, characteristic, complemented
23#13071349C211yesmaximal, characteristic, complemented
24#13071344C211yesmaximal, characteristic, complemented
25#13071291C211yesmaximal, characteristic, complemented
26#13071281C211yesmaximal, characteristic, complemented
27#13071265C211yesmaximal, characteristic, complemented
28C4×#66932C211yesmaximal, characteristic, complemented
29C4×#66989C211yesmaximal, characteristic, complemented
30#13071089C211yesmaximal, characteristic, complemented
31C11×#2364C211yesmaximal, characteristic
32C2×C11×#121C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×#66989C2211yescharacteristic
36C2×#66989C2211yescharacteristic
37C2×#66989C2211yescharacteristic
38C2×#66988C2211yescharacteristic
39C2×#66988C2211yescharacteristic
40C2×D4×Dic11C2211yescharacteristic
41C2×#66979C2211yescharacteristic
42C2×#66977C2211yescharacteristic
43C22×Dic11⋊C4C2211yescharacteristic
44#10623134C4116yescomplemented
45C2×#66941C2211yescharacteristic
46C2×#66940C2211yescharacteristic
47C2×#66940C2211yescharacteristic
48C2×#66932C2211yescharacteristic
49C2×#66932C2211yescharacteristic
50C2×#66931C2211yescharacteristic
51C2×#66931C2211yescharacteristic
52C2×#66930C2211yescharacteristic
53C2×C4×Dic22C2211yescharacteristic
54C11×#388C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#387C2211yescharacteristic
57C11×#387C2211yescharacteristic
58C11×#386C2211yescharacteristic
59C11×#386C2211yescharacteristic
60C11×#386C2211yescharacteristic
61C11×#386C2211yescharacteristic
62C4×C11×C22⋊C4C2211yescharacteristic
63C4×C11×C22⋊C4C2211yescharacteristic
64C4×C11×C22⋊C4C2211yescharacteristic
65C2×C11×#95C2211yescharacteristic
66#10622834C2211yescharacteristic
67#10622834C2211yescharacteristic
68#10622833C2211yescharacteristic
69#10622833C2211yescharacteristic
70#10622833C2211yescharacteristic
71#10622833C2211yescharacteristic
72#10622825C2211yescharacteristic
73#10622824C2211yescharacteristic
74#10622823C2211yescharacteristic
75#10622823C2211yescharacteristic
76#10622823C2211yescharacteristic
77#10622823C2211yescharacteristic
78#10622823C2211yescharacteristic
79#10622823C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic
81C4×C22⋊Dic11C2211yescharacteristic
82C4×C22⋊Dic11C2211yescharacteristic
83C4×C22⋊Dic11C2211yescharacteristic
84C4×C22⋊Dic11C2211yescharacteristic
85C4×C22⋊Dic11C2211yescharacteristic
86C4×C22⋊Dic11C2211yescharacteristic
87C4×C22⋊Dic11C2211yescharacteristic
88C2×C11⋊#95C2211yescharacteristic
89#10622594C2211yescharacteristic
90#10622594C2211yescharacteristic
91#10622591C2211yescharacteristic
92#10622590C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94#10622587C2211yescharacteristic
95#10622585C2211yescharacteristic
96#10622585C2211yescharacteristic
97#10622585C2211yescharacteristic
98#10622564C2211yescharacteristic
99#10622564C2211yescharacteristic
100#10622563C2211yescharacteristic
101#10622563C2211yescharacteristic
102#10622559C2211yescharacteristic
103#10622559C2211yescharacteristic
104#10622558C2211yescharacteristic
105#10622558C2211yescharacteristic
106#10622558C2211yescharacteristic
107#10622558C2211yescharacteristic
108#10622558C2211yescharacteristic
109#10622558C2211yescharacteristic
110#10622558C2211yescharacteristic
111#10622558C2211yescharacteristic
112#10622558C2211yescharacteristic
113#10622558C2211yescharacteristic
114#10622558C2211yescharacteristic
115#10622558C2211yescharacteristic
116#10622557C2211yescharacteristic
117#10622557C2211yescharacteristic
118#10622557C2211yescharacteristic
119#10622557C2211yescharacteristic
120#10622557C2211yescharacteristic
121#10622557C2211yescharacteristic
122#10622557C2211yescharacteristic
123#10622557C2211yescharacteristic
124#10622556C2211yescharacteristic
125#10622555C2211yescharacteristic
126#10622555C2211yescharacteristic
127#10622555C2211yescharacteristic
128C22⋊C4×Dic11C2211yescharacteristic
129C22⋊C4×Dic11C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132C22⋊C4×Dic11C2211yescharacteristic
133C4×C4⋊Dic11C2211yescharacteristic
134C4×C4⋊Dic11C2211yescharacteristic
135#10622546C2211yescharacteristic
136#10622546C2211yescharacteristic
137#10622546C2211yescharacteristic
138#10622546C2211yescharacteristic
139#10622546C2211yescharacteristic
140C4×Dic11⋊C4C2211yescharacteristic
141C4×Dic11⋊C4C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C4×Dic11⋊C4C2211yescharacteristic
144C42×Dic11C2211yescharacteristic
145#10622542C2211yescharacteristic
146#10622541C2211yescharacteristic
147#10622541C2211yescharacteristic
148#10622268C2211yescharacteristic
149#10622268C2211yescharacteristic
150#10622268C2211yescharacteristic
151#10622267C2211yescharacteristic
152#10622267C2211yescharacteristic
153#10622267C2211yescharacteristic
154#10622267C2211yescharacteristic
155#10622266C2211yescharacteristic
156#10622266C2211yescharacteristic
157#10622266C2211yescharacteristic
158#10622266C2211yescharacteristic
159#10622265C2211yescharacteristic
160#10622265C2211yescharacteristic
161#10622265C2211yescharacteristic
162#10622264C2211yescharacteristic
163#10622264C2211yescharacteristic
164#10622264C2211yescharacteristic
165#10622264C2211yescharacteristic
166#10622263C2211yescharacteristic
167#10622262C2211yescharacteristic
168#10622262C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622261C2211yescharacteristic
173#10622261C2211yescharacteristic
174#10622261C2211yescharacteristic
175#10622260C2211yescharacteristic
176#10622260C2211yescharacteristic
177#10622260C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622259C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C11×#121C2×C418yes—
204C4×D4×C11—42no—
205C4×D4×C11—42no—
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊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×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243#66989C2×C418yescomplemented
244#66989C2×C418yescomplemented
245#66989C2×C418yescomplemented
246#66988C2×C418yescomplemented
247#66988C2×C418yescomplemented
248D4×Dic11C2×C418yescomplemented
249#66979C2×C418yescomplemented
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257#66977C2×C418yescomplemented
258C2×Dic11⋊C4—42no—
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×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
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
303#66941C2×C418yescomplemented
304#66940—42no—
305#66940C2×C418yescomplemented
306#66932C2×C418yescomplemented
307#66932C2×C418yescomplemented
308#66931C2×C418yescomplemented
309#66931C2×C418yescomplemented
310#66930—42no—
311C4×Dic22—42no—
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364#34453—111nomaximal, Sylow
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C24×C11C2411yescharacteristic
368C2×D4×C11—41no—
369C2×D4×C11—41no—
370C2×D4×C11—41no—
371C2×D4×C11—41no—
372C2×D4×C11—41no—
373C2×D4×C11—41no—
374C2×D4×C11C22×C414yes—
375C2×D4×C11C22×C414yes—
376C2×D4×C11C22×C414yes—
377C22×C4×C11—22no—
378C22×C4×C11—22no—
379C22×C4×C11—22no—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11—41no—
388C22×C4×C11—41no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11C22×C414yes—
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×Dic11—41no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11—41no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11—41no—
414C22×Dic11C22×C414yes—
415C22×Dic11C22×C414yes—
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C2×Dic22—41no—
433C2×Dic22—41no—
434C2×Dic22—41no—
435C2×Dic22—41no—
436C2×Dic22—41no—
437C2×Dic22—41no—
438C2×Dic22C22×C414yes—
439C2×Dic22C22×C414yes—
440C2×Dic22C22×C414yes—
441C11×C4⋊C4—22no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4C22×C414yes—
444C11×C22⋊C4—22no—
445C11×C22⋊C4—22no—
446C11×C22⋊C4—22no—
447C11×C22⋊C4—41no—
448C11×C22⋊C4—41no—
449C11×C22⋊C4—41no—
450C11×C22⋊C4—41no—
451C11×C22⋊C4—41no—
452C11×C22⋊C4C22×C414yes—
453C11×C22⋊C4C22×C414yes—
454C42×C11—22no—
455C42×C11—41no—
456C42×C11—41no—
457C42×C11—41no—
458C22⋊Dic11—41no—
459C22⋊Dic11—41no—
460C22⋊Dic11—41no—
461C22⋊Dic11—41no—
462C22⋊Dic11—41no—
463C22⋊Dic11—41no—
464C22⋊Dic11—41no—
465C22⋊Dic11—41no—
466C22⋊Dic11—41no—
467C22⋊Dic11—41no—
468C22⋊Dic11C22×C414yes—
469C22⋊Dic11C22×C414yes—
470C22⋊Dic11C22×C414yes—
471C22⋊Dic11C22×C414yes—
472C22⋊Dic11C22×C414yes—
473C22⋊Dic11C22×C414yes—
474C22⋊Dic11C22×C414yes—
475C22⋊Dic11C22×C414yes—
476C22⋊Dic11C22×C414yes—
477C22⋊Dic11C22×C414yes—
478C4⋊Dic11—41no—
479C4⋊Dic11—41no—
480C4⋊Dic11—41no—
481C4⋊Dic11—41no—
482C4⋊Dic11C22×C414yes—
483C4⋊Dic11C22×C414yes—
484C4⋊Dic11C22×C414yes—
485Dic11⋊C4—22no—
486Dic11⋊C4—22no—
487Dic11⋊C4—22no—
488Dic11⋊C4—22no—
489Dic11⋊C4—41no—
490Dic11⋊C4—41no—
491Dic11⋊C4—41no—
492Dic11⋊C4—41no—
493Dic11⋊C4—41no—
494Dic11⋊C4—41no—
495Dic11⋊C4—41no—
496Dic11⋊C4—41no—
497Dic11⋊C4—41no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501Dic11⋊C4C22×C414yes—
502Dic11⋊C4C22×C414yes—
503Dic11⋊C4C22×C414yes—
504Dic11⋊C4C22×C414yes—
505Dic11⋊C4C22×C414yes—
506Dic11⋊C4C22×C414yes—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—41no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11—41no—
513C4×Dic11—41no—
514C4×Dic11—41no—
515C4×Dic11—41no—
516C4×Dic11—41no—
517C4×Dic11—41no—
518C4×Dic11—41no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524C4×Dic11—41no—
525C4×Dic11C22×C414yes—
526C4×Dic11C22×C414yes—
527C4×Dic11C22×C414yes—
528C4×Dic11C22×C414yes—
529C2×#542—111no—
530#2381—111no—
531#2378—111no—
532#2377—111no—
533#2376—111no—
534#2373—111no—
535#2373—111no—
536#2372—111no—
537#2367—111no—
538#2365—111no—
539#2364D1111yescharacteristic
540#2360—111no—
541#2359—111no—
542#2353—111no—
543#2352—111no—
544#2347—111no—
545#2343—111no—
546#2337—111no—
547#2337—111no—
548#2337—111no—
549#2335—111no—
550#2334—111no—
551#2332—111no—
552#2329—111no—
553#2329—111no—
554#2323—111no—
555#2322—111no—
556#2320—111no—
557C4×#126—111no—
558C4×#124—111no—
559#2295—111no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11C23×C412yes—
579C23×C11C23×C412yes—
580C23×C11C23×C412yes—
581C23×C11C2511yescharacteristic
582D4×C11—44no—
583D4×C11—44no—
584D4×C11—44no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
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—44no—
616C2×C4×C11—82no—
617C2×C4×C11—82no—
618C2×C4×C11—82no—
619C2×C4×C11—82no—
620C2×C4×C11C23×C412yes—
621C2×C4×C11C23×C412yes—
622C2×C4×C11C23×C412yes—
623C2×C4×C11C23×C412yes—
624C2×C4×C11H(5,𝔽2)12yes—
625C2×C4×C112−1+412yes—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
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—44no—
667C2×Dic11—44no—
668C2×Dic11—82no—
669C2×Dic11—82no—
670C2×Dic11C23×C412yes—
671C2×Dic11C23×C412yes—
672C2×Dic11C23×C412yes—
673C2×Dic11C23×C412yes—
674C2×Dic11C23×C412yes—
675C2×Dic11C23×C412yes—
676C2×Dic11C23×C412yes—
677C2×Dic11C23×C412yes—
678Dic22—44no—
679Dic22—44no—
680Dic22—44no—
681#542—1116no—
682C2×C4⋊Q8—111no—
683C2×#126—111no—
684C2×#126—111no—
685C2×#124—111no—
686C2×#124—111no—
687C2×#124—111no—
688C2×#123—111no—
689C2×#123—111no—
690C2×C22⋊Q8—111no—
691C2×C22⋊Q8—111no—
692C2×C22⋊Q8—111no—
693C2×#121C2×D1111yescharacteristic
694C2×C4×Q8—111no—
695C2×C4×Q8—111no—
696C2×C4×Q8—111no—
697C2×C4×D4—111no—
698C2×C4×D4C2×D1111yescharacteristic
699C2×C4×D4C2×D1111yescharacteristic
700C2×#117—111no—
701C2×#117—111no—
702C22×C4⋊C4—111no—
703#391—111no—
704#391—111no—
705#391—111no—
706#391—111no—
707#391—111no—
708#391—111no—
709#391—111no—
710#391—111no—
711#391—111no—
712#391—111no—
713#390—111no—
714#390—111no—
715#389—111no—
716#389—111no—
717#389—111no—
718#389—111no—
719#389—111no—
720#389—111no—
721#389—111no—
722#389—111no—
723#389—111no—
724#389—111no—
725#388—111no—
726#388—111no—
727#388—111no—
728#388—111no—
729#388—111no—
730#388—111no—
731#388—111no—
732#388—111no—
733#388—111no—
734#388—111no—
735#388—111no—
736#388—111no—
737#388—111no—
738#388—111no—
739#388—111no—
740#388—111no—
741#388—111no—
742#388—111no—
743#388—111no—
744#388—111no—
745#388—111no—
746#388—111no—
747#388C2×D1111yescharacteristic
748#388C2×D1111yescharacteristic
749#387—111no—
750#387—111no—
751#387—111no—
752#387—111no—
753#387—111no—
754#387—111no—
755#387—111no—
756#387—111no—
757#387—111no—
758#387—111no—
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387—111no—
769#387—111no—
770#387—111no—
771#387C2×D1111yescharacteristic
772#387C2×D1111yescharacteristic
773#386—111no—
774#386—111no—
775#386—111no—
776#386—111no—
777#386C2×D1111yescharacteristic
778#386C2×D1111yescharacteristic
779#386C2×D1111yescharacteristic
780#386C2×D1111yescharacteristic
781#385—111no—
782#385—111no—
783#385—111no—
784#385—111no—
785#385—111no—
786#385—111no—
787#385—111no—
788#385—111no—
789#385—111no—
790#385—111no—
791#383—111no—
792#383—111no—
793#383—111no—
794#383—111no—
795#382—111no—
796#382—111no—
797#381—111no—
798#381—111no—
799#380—111no—
800#380—111no—
801#380—111no—
802#380—111no—
803C4×C4⋊C4—111no—
804C4×C4⋊C4—111no—
805C4×C4⋊C4—111no—
806C4×C4⋊C4—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×C22⋊C4—111no—
816C4×C22⋊C4—111no—
817C4×C22⋊C4—111no—
818C4×C22⋊C4—111no—
819C4×C22⋊C4—111no—
820C4×C22⋊C4—111no—
821C4×C22⋊C4—111no—
822C4×C22⋊C4—111no—
823C4×C22⋊C4—111no—
824C4×C22⋊C4—111no—
825C4×C22⋊C4—111no—
826C4×C22⋊C4—111no—
827C4×C22⋊C4—111no—
828C4×C22⋊C4C2×D1111yescharacteristic
829C4×C22⋊C4C2×D1111yescharacteristic
830C4×C22⋊C4C2×D1111yescharacteristic
831#376—111no—
832#376—111no—
833#376—111no—
834C2×#95—111no—
835C2×#95C2×D1111yescharacteristic
836C43—111no—
837C22×C11—22no—
838C22×C11—22no—
839C22×C11—22no—
840C22×C11—22no—
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—22no—
845C22×C11—22no—
846C22×C11—41no—
847C22×C11—41no—
848C22×C11—41no—
849C22×C11—41no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11—41no—
853C22×C11—41no—
854C22×C11—41no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11C24×C411yescharacteristic
859C22×C11C2×H(5,𝔽2)11yescharacteristic
860C22×C11C2×2−1+411yescharacteristic
861C22×C11#58511yescharacteristic
862C22×C11#58511yescharacteristic
863C22×C11#58511yescharacteristic
864C22×C11#58511yescharacteristic
865C4×C11—22no—
866C4×C11—22no—
867C4×C11—22no—
868C4×C11—22no—
869C4×C11—22no—
870C4×C11—22no—
871C4×C11—41no—
872C4×C11—41no—
873C4×C11—41no—
874C4×C11—41no—
875C4×C11—41no—
876C4×C11—41no—
877Dic11—22no—
878Dic11—22no—
879Dic11—22no—
880Dic11—22no—
881Dic11—22no—
882Dic11—22no—
883Dic11—22no—
884Dic11—22no—
885Dic11—41no—
886Dic11—41no—
887Dic11—41no—
888Dic11—41no—
889Dic11—41no—
890Dic11—41no—
891Dic11—41no—
892Dic11—41no—
893C22×Q8—111no—
894C22×Q8—111no—
895C22×Q8—111no—
896C22×D4C22×D1111yescharacteristic
897C22×D4C22×D1111yescharacteristic
898C22×D4C22×D1111yescharacteristic
899C23×C4—111no—
900C23×C4—111no—
901C23×C4—111no—
902C23×C4—111no—
903C23×C4C22×D1111yescharacteristic
904C23×C4C22×D1111yescharacteristic
905C23×C4C22×D1111yescharacteristic
906C23×C4C22×D1111yescharacteristic
907C23×C4C22×D1111yescharacteristic
908C4⋊Q8—118no—
909#126—118no—
910#126—118no—
911#124—118no—
912#124—118no—
913#124—118no—
914#123—118no—
915#123—118no—
916C22⋊Q8—118no—
917C22⋊Q8—118no—
918C22⋊Q8—118no—
919#121C4×D1118yes—
920C4×Q8—118no—
921C4×Q8—442no—
922C4×Q8—442no—
923C4×D4—42no—
924C4×D4—42no—
925C4×D4—118no—
926#117—118no—
927#117—442no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
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—442no—
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4C22×D1111yescharacteristic
982C2×C22⋊C4C22×D1111yescharacteristic
983C2×C22⋊C4C22×D1111yescharacteristic
984C2×C22⋊C4C22×D1111yescharacteristic
985C2×C22⋊C4C22×D1111yescharacteristic
986C2×C22⋊C4C22×D1111yescharacteristic
987C2×C22⋊C4C22×D1111yescharacteristic
988C2×C22⋊C4C22×D1111yescharacteristic
989C2×C22⋊C4C22×D1111yescharacteristic
990C2×C22⋊C4C22×D1111yescharacteristic
991C2×C42—111no—
992C2×C42—111no—
993C2×C42—111no—
994C2×C42—111no—
995C2×C42—111no—
996C2×C42—111no—
997C2×C42—111no—
998C2×C42—111no—
999C2×C42—111no—
1000C2×C42—111no—
1001C2×C42—111no—
1002C2×C42—111no—
1003C2×C42—111no—
1004C2×C42—111no—
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—111no—
1008C2×C42—111no—
1009C2×C42—111no—
1010C2×C42—111no—
1011C2×C42—111no—
1012C2×C42—111no—
1013C2×C42C22×D1111yescharacteristic
1014C2×C42C22×D1111yescharacteristic
1015C2×C42C22×D1111yescharacteristic
1016C2×C42C22×D1111yescharacteristic
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
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#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069C2×C11—42no—
1070C2×C11—42no—
1071C2×C11—42no—
1072C2×C11#342811yescharacteristic
1073C2×C11C4×H(5,𝔽2)11yescharacteristic
1074C2×C11C4×2−1+411yescharacteristic
1075C2×C11#356011yescharacteristic
1076C2×C11#356111yescharacteristic
1077C2×C11#356511yescharacteristic
1078C2×C11#356611yescharacteristic
1079C24C23×D1111yescharacteristic
1080C24C23×D1111yescharacteristic
1081C24C23×D1111yescharacteristic
1082C2×Q8—114no—
1083C2×Q8—114no—
1084C2×Q8—114no—
1085C2×Q8—441no—
1086C2×Q8—441no—
1087C2×Q8—441no—
1088C2×Q8—441no—
1089C2×Q8—441no—
1090C2×Q8—441no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4C2×C4×D1114yes—
1098C2×D4C2×C4×D1114yes—
1099C2×D4C2×C4×D1114yes—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—114no—
1123C22×C4—114no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—441no—
1133C22×C4—441no—
1134C22×C4—441no—
1135C22×C4—441no—
1136C22×C4—441no—
1137C22×C4—441no—
1138C22×C4—441no—
1139C22×C4—441no—
1140C22×C4—441no—
1141C22×C4—441no—
1142C22×C4C2×C4×D1114yes—
1143C22×C4C23×D1111yescharacteristic
1144C22×C4C23×D1111yescharacteristic
1145C22×C4C23×D1111yescharacteristic
1146C22×C4C23×D1111yescharacteristic
1147C22×C4C23×D1111yescharacteristic
1148C22×C4C23×D1111yescharacteristic
1149C22×C4C23×D1111yescharacteristic
1150C22×C4C23×D1111yescharacteristic
1151C22×C4C23×D1111yescharacteristic
1152C22×C4C23×D1111yescharacteristic
1153C22×C4C23×D1111yescharacteristic
1154C22×C4C23×D1111yescharacteristic
1155C4⋊C4—22no—
1156C4⋊C4—41no—
1157C4⋊C4—114no—
1158C4⋊C4—114no—
1159C4⋊C4—114no—
1160C4⋊C4—114no—
1161C4⋊C4—114no—
1162C4⋊C4—114no—
1163C4⋊C4—114no—
1164C4⋊C4—114no—
1165C4⋊C4—114no—
1166C4⋊C4—222no—
1167C4⋊C4—222no—
1168C4⋊C4—222no—
1169C4⋊C4—222no—
1170C4⋊C4—441no—
1171C4⋊C4—441no—
1172C4⋊C4—441no—
1173C4⋊C4—441no—
1174C4⋊C4—441no—
1175C4⋊C4—441no—
1176C4⋊C4—441no—
1177C4⋊C4—441no—
1178C4⋊C4—441no—
1179C4⋊C4—441no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C4⋊C4C2×C4×D1114yes—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—114no—
1196C22⋊C4—114no—
1197C22⋊C4—114no—
1198C22⋊C4—114no—
1199C22⋊C4—114no—
1200C22⋊C4—114no—
1201C22⋊C4—114no—
1202C22⋊C4—114no—
1203C22⋊C4—114no—
1204C22⋊C4—114no—
1205C22⋊C4—441no—
1206C22⋊C4—441no—
1207C22⋊C4—441no—
1208C22⋊C4—441no—
1209C22⋊C4—441no—
1210C22⋊C4—441no—
1211C22⋊C4—441no—
1212C22⋊C4—441no—
1213C22⋊C4—441no—
1214C22⋊C4—441no—
1215C22⋊C4C2×C4×D1114yes—
1216C22⋊C4C2×C4×D1114yes—
1217C42—22no—
1218C42—41no—
1219C42—41no—
1220C42—41no—
1221C42—114no—
1222C42—114no—
1223C42—114no—
1224C42—114no—
1225C42—222no—
1226C42—222no—
1227C42—441no—
1228C42—441no—
1229C42—441no—
1230C42—441no—
1231C42—441no—
1232C42—441no—
1233C42—441no—
1234C42—441no—
1235C42—441no—
1236C42—441no—
1237C42—441no—
1238C42—441no—
1239C42—441no—
1240C42—441no—
1241C42—441no—
1242C42—441no—
1243C11#3445311yescharacteristic, complemented, Sylow
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23C22×C4×D1112yes—
1263C23C22×C4×D1112yes—
1264C23C22×C4×D1112yes—
1265C23C24×D1111yescharacteristic
1266Q8—444no—
1267Q8—444no—
1268Q8—444no—
1269D4—44no—
1270D4—44no—
1271D4—44no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—44no—
1303C2×C4—82no—
1304C2×C4—82no—
1305C2×C4—82no—
1306C2×C4—82no—
1307C2×C4—112no—
1308C2×C4—112no—
1309C2×C4—112no—
1310C2×C4—112no—
1311C2×C4—112no—
1312C2×C4—112no—
1313C2×C4—112no—
1314C2×C4—112no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—444no—
1356C2×C4—444no—
1357C2×C4—882no—
1358C2×C4—882no—
1359C2×C4C22×C4×D1112yes—
1360C2×C4C22×C4×D1112yes—
1361C2×C4C22×C4×D1112yes—
1362C2×C4C22×C4×D1112yes—
1363C2×C4#6703712yes—
1364C2×C4#6704312yes—
1365C22—22no—
1366C22—22no—
1367C22—22no—
1368C22—22no—
1369C22—22no—
1370C22—22no—
1371C22—22no—
1372C22—22no—
1373C22—22no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22C23×C4×D1111yescharacteristic
1387C22C2×#6703711yescharacteristic
1388C22C2×#6704311yescharacteristic
1389C22#1062345311yescharacteristic
1390C22#1062345311yescharacteristic
1391C22#1062345511yescharacteristic
1392C22#1062345511yescharacteristic
1393C4—22no—
1394C4—22no—
1395C4—22no—
1396C4—22no—
1397C4—22no—
1398C4—22no—
1399C4—41no—
1400C4—41no—
1401C4—41no—
1402C4—41no—
1403C4—41no—
1404C4—41no—
1405C4—222no—
1406C4—222no—
1407C4—222no—
1408C4—222no—
1409C4—222no—
1410C4—222no—
1411C4—222no—
1412C4—222no—
1413C4—441no—
1414C4—441no—
1415C4—441no—
1416C4—441no—
1417C4—441no—
1418C4—441no—
1419C4—441no—
1420C4—441no—
1421C2—42no—
1422C2—42no—
1423C2—42no—
1424C2#1308181411yescharacteristic
1425C2C4×#6703711yescharacteristic
1426C2C4×#6704311yescharacteristic
1427C2#1308315611yescharacteristic
1428C2#1308317511yescharacteristic
1429C2#1308325111yescharacteristic
1430C2#1308329011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2364C2
socle, cosocleC23×C11C25
prime radicalC2×C11×#121C22
hypercenter#2364D11
hypocenterC11#34453
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2364

Complements

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

NH ≅ G/Ntype
2. #13071794C2semidirect
3. #13071776C2semidirect
5. #13071759C2semidirect
6. #13071743C2semidirect
7. #13071738C2semidirect
8. #13071725C2semidirect
9. #13071689C2semidirect
10. #13071671C2semidirect
11. #13071622C2semidirect
12. #13071602C2semidirect
13. #13071554C2semidirect
14. #13071543C2semidirect
15. #13071507C2semidirect
16. #13071472C2semidirect
17. #13071425C2semidirect
18. #13071425C2semidirect
19. #13071425C2semidirect
20. #13071407C2semidirect
21. #13071398C2semidirect
22. #13071372C2semidirect
23. #13071349C2semidirect
24. #13071344C2semidirect
25. #13071291C2semidirect
26. #13071281C2semidirect
27. #13071265C2semidirect
28. C4×#66932C2semidirect
29. C4×#66989C2semidirect
30. #13071089C2semidirect
44. #10623134C4semidirect
243. #66989C2×C4semidirect
244. #66989C2×C4semidirect
245. #66989C2×C4semidirect
246. #66988C2×C4semidirect
247. #66988C2×C4semidirect
248. D4×Dic11C2×C4semidirect
249. #66979C2×C4semidirect
257. #66977C2×C4semidirect
303. #66941C2×C4semidirect
305. #66940C2×C4semidirect
306. #66932C2×C4semidirect
307. #66932C2×C4semidirect
308. #66931C2×C4semidirect
309. #66931C2×C4semidirect
1243. C11#34453semidirect

Maximal subgroups

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

subgroupindex
C2×#106231342
#130717942
#130717762
#130717732
#130717592
#130717432
#130717382
#130717252
#130716892
#130716712
#130716222
#130716022
#130715542
#130715432
#130715072
#130714722
#130714252
#130714072
#130713982
#130713722
#130713492
#130713442
#130712912
#130712812
#130712652
C4×#669322
C4×#669892
#130710892
C11×#23642
#3445311