Finite Group Databasebeta

← #14915007

Subgroups — #14915007

Order 2816.

2194 conjugacy classes of subgroups.

The subgroup lattice has 1380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623154C211yesmaximal, characteristic
2#13071715C211yesmaximal, characteristic, complemented
3#13071715C211yesmaximal, characteristic, complemented
4#13071713C211yesmaximal, characteristic, complemented
5#13071707C211yesmaximal, characteristic, complemented
6#13071704C211yesmaximal, characteristic, complemented
7#13071702C211yesmaximal, characteristic, complemented
8#13071701C211yesmaximal, characteristic
9#13071699C211yesmaximal, characteristic
10#13071697C211yesmaximal, characteristic
11#13071694C211yesmaximal, characteristic
12#13071671C211yesmaximal, characteristic, complemented
13#13071670C211yesmaximal, characteristic, complemented
14#13071622C211yesmaximal, characteristic
15#13071621C211yesmaximal, characteristic
16#13071616C211yesmaximal, characteristic
17#13071361C211yesmaximal, characteristic, complemented
18#13071359C211yesmaximal, characteristic, complemented
19#13071354C211yesmaximal, characteristic, complemented
20#13071354C211yesmaximal, characteristic, complemented
21#13071235C211yesmaximal, characteristic
22#13071187C211yesmaximal, characteristic, complemented
23C4×#66997C211yesmaximal, characteristic, complemented
24#13071173C211yesmaximal, characteristic, complemented
25C4×#66942C211yesmaximal, characteristic, complemented
26#13071095C211yesmaximal, characteristic
27C2×#10622585C211yesmaximal, characteristic
28#13070971C211yesmaximal, characteristic
29#13070971C211yesmaximal, characteristic
30C4×#66930C211yesmaximal, characteristic
31C11×#2360C211yesmaximal, characteristic
32C2×C11×C22⋊Q8C2211yescharacteristic
33C2×C4×Q8×C11C2211yescharacteristic
34C22×C11×C4⋊C4C2211yescharacteristic
35C2×#66997C2211yescharacteristic
36C2×#66997C2211yescharacteristic
37C2×#66977C2211yescharacteristic
38C22×Dic11⋊C4C2211yescharacteristic
39C22×Dic11⋊C4C2211yescharacteristic
40C22×Dic11⋊C4C2211yescharacteristic
41C22×C4×Dic11C2211yescharacteristic
42#10623154C4116yescomplemented
43C2×#66942C2211yescharacteristic
44C2×#66942C2211yescharacteristic
45C2×#66942C2211yescharacteristic
46C2×#66942C2211yescharacteristic
47C2×#66941C2211yescharacteristic
48C2×#66941C2211yescharacteristic
49C2×#66940C2211yescharacteristic
50C2×#66940C2211yescharacteristic
51C2×#66931C2211yescharacteristic
52C2×#66931C2211yescharacteristic
53C2×#66930C2211yescharacteristic
54C2×#66930C2211yescharacteristic
55C2×#66930C2211yescharacteristic
56C2×#66930C2211yescharacteristic
57C2×C4×Dic22C2211yescharacteristic
58C11×#391C2211yescharacteristic
59C11×#389C2211yescharacteristic
60C11×#389C2211yescharacteristic
61C11×#389C2211yescharacteristic
62C11×#387C2211yescharacteristic
63C11×#387C2211yescharacteristic
64C11×#385C2211yescharacteristic
65C11×#385C2211yescharacteristic
66C4×C11×C4⋊C4C2211yescharacteristic
67C4×C11×C22⋊C4C2211yescharacteristic
68C4×C11×C22⋊C4C2211yescharacteristic
69C4×C11×C22⋊C4C2211yescharacteristic
70#10622843C2211yescharacteristic
71#10622843C2211yescharacteristic
72#10622823C2211yescharacteristic
73#10622823C2211yescharacteristic
74C4×C22⋊Dic11C2211yescharacteristic
75C4×C22⋊Dic11C2211yescharacteristic
76C4×C22⋊Dic11C2211yescharacteristic
77C2×C11⋊#95C2211yescharacteristic
78C2×C11⋊#95C2211yescharacteristic
79#10622594C2211yescharacteristic
80#10622594C2211yescharacteristic
81#10622594C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622591C2211yescharacteristic
84#10622591C2211yescharacteristic
85#10622591C2211yescharacteristic
86#10622591C2211yescharacteristic
87#10622589C2211yescharacteristic
88#10622589C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95#10622587C2211yescharacteristic
96#10622587C2211yescharacteristic
97#10622586C2211yescharacteristic
98#10622586C2211yescharacteristic
99#10622585C2211yescharacteristic
100#10622585C2211yescharacteristic
101#10622585C2211yescharacteristic
102#10622585C2211yescharacteristic
103#10622585C2211yescharacteristic
104#10622585C2211yescharacteristic
105#10622585C2211yescharacteristic
106#10622585C2211yescharacteristic
107#10622585C2211yescharacteristic
108#10622585C2211yescharacteristic
109#10622585C2211yescharacteristic
110#10622585C2211yescharacteristic
111#10622585C2211yescharacteristic
112#10622585C2211yescharacteristic
113#10622585C2211yescharacteristic
114#10622585C2211yescharacteristic
115#10622563C2211yescharacteristic
116#10622563C2211yescharacteristic
117#10622559C2211yescharacteristic
118#10622559C2211yescharacteristic
119C22⋊C4×Dic11C2211yescharacteristic
120C22⋊C4×Dic11C2211yescharacteristic
121C22⋊C4×Dic11C2211yescharacteristic
122C22⋊C4×Dic11C2211yescharacteristic
123C22⋊C4×Dic11C2211yescharacteristic
124C22⋊C4×Dic11C2211yescharacteristic
125C4×C4⋊Dic11C2211yescharacteristic
126#10622546C2211yescharacteristic
127#10622546C2211yescharacteristic
128#10622546C2211yescharacteristic
129#10622546C2211yescharacteristic
130C4×Dic11⋊C4C2211yescharacteristic
131C4×Dic11⋊C4C2211yescharacteristic
132C4×Dic11⋊C4C2211yescharacteristic
133C4×Dic11⋊C4C2211yescharacteristic
134C4×Dic11⋊C4C2211yescharacteristic
135C4×Dic11⋊C4C2211yescharacteristic
136C4×Dic11⋊C4C2211yescharacteristic
137C4×Dic11⋊C4C2211yescharacteristic
138C4×Dic11⋊C4C2211yescharacteristic
139C4×Dic11⋊C4C2211yescharacteristic
140C4×Dic11⋊C4C2211yescharacteristic
141C4×Dic11⋊C4C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C4×Dic11⋊C4C2211yescharacteristic
144C42×Dic11C2211yescharacteristic
145C42×Dic11C2211yescharacteristic
146#10622542C2211yescharacteristic
147#10622541C2211yescharacteristic
148#10622268C2211yescharacteristic
149#10622268C2211yescharacteristic
150#10622267C2211yescharacteristic
151#10622267C2211yescharacteristic
152#10622267C2211yescharacteristic
153#10622267C2211yescharacteristic
154#10622266C2211yescharacteristic
155#10622266C2211yescharacteristic
156#10622265C2211yescharacteristic
157#10622265C2211yescharacteristic
158#10622263C2211yescharacteristic
159#10622263C2211yescharacteristic
160#10622262C2211yescharacteristic
161#10622262C2211yescharacteristic
162#10622262C2211yescharacteristic
163#10622262C2211yescharacteristic
164#10622262C2211yescharacteristic
165#10622262C2211yescharacteristic
166#10622262C2211yescharacteristic
167#10622262C2211yescharacteristic
168#10622262C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622261C2211yescharacteristic
175#10622261C2211yescharacteristic
176#10622260C2211yescharacteristic
177#10622260C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×Dic22C2311yescharacteristic
197C22×Dic22C2311yescharacteristic
198C22×Dic22C2311yescharacteristic
199C11×C22⋊Q8C2×C418yes—
200C4×Q8×C11—42no—
201C2×C11×C4⋊C4—42no—
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊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#66997C2×C418yescomplemented
228#66997C2×C418yescomplemented
229C2×C4⋊Dic11C2311yescharacteristic
230C2×C4⋊Dic11C2311yescharacteristic
231C2×C4⋊Dic11C2311yescharacteristic
232C2×C4⋊Dic11C2311yescharacteristic
233C2×C4⋊Dic11C2311yescharacteristic
234C2×C4⋊Dic11C2311yescharacteristic
235C2×C4⋊Dic11C2311yescharacteristic
236#66977C2×C418yes—
237C2×Dic11⋊C4—24no—
238C2×Dic11⋊C4—42no—
239C2×Dic11⋊C4C2×C418yes—
240C2×Dic11⋊C4C2311yescharacteristic
241C2×Dic11⋊C4C2311yescharacteristic
242C2×Dic11⋊C4C2311yescharacteristic
243C2×Dic11⋊C4C2311yescharacteristic
244C2×Dic11⋊C4C2311yescharacteristic
245C2×Dic11⋊C4C2311yescharacteristic
246C2×Dic11⋊C4C2311yescharacteristic
247C2×Dic11⋊C4C2311yescharacteristic
248C2×Dic11⋊C4C2311yescharacteristic
249C2×Dic11⋊C4C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—24no—
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
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
305#66942C2×C418yescomplemented
306#66942C2×C418yescomplemented
307#66942C2×C418yescomplemented
308#66942C2×C418yescomplemented
309#66941C2×C418yescomplemented
310#66941C2×C418yescomplemented
311#66940—42no—
312#66940—42no—
313#66931C2×C418yes—
314#66931C2×C418yes—
315#66930—24no—
316#66930C2×C418yes—
317#66930C2×C418yes—
318#66930Q818yescomplemented
319C4×Dic22—42no—
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
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368#34272—111nomaximal, Sylow
369C24×C11C2411yescharacteristic
370C2×Q8×C11—41no—
371C2×Q8×C11—41no—
372C2×Q8×C11C22×C414yes—
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—22no—
376C22×C4×C11—41no—
377C22×C4×C11—41no—
378C22×C4×C11—41no—
379C22×C4×C11—41no—
380C22×C4×C11—41no—
381C22×C4×C11C22×C414yes—
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
395C22×C4×C11C2411yescharacteristic
396C22×Dic11—22no—
397C22×Dic11—22no—
398C22×Dic11—22no—
399C22×Dic11—41no—
400C22×Dic11—41no—
401C22×Dic11—41no—
402C22×Dic11—41no—
403C22×Dic11—41no—
404C22×Dic11C22×C414yes—
405C22×Dic11C22×C414yes—
406C22×Dic11C2×Q814yes—
407C22×Dic11#4114yes—
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
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
423C22×Dic11C2411yescharacteristic
424C2×Dic22—41no—
425C2×Dic22—41no—
426C2×Dic22—41no—
427C2×Dic22—41no—
428C2×Dic22—41no—
429C2×Dic22—41no—
430C2×Dic22C22×C414yes—
431C2×Dic22C22×C414yes—
432C2×Dic22C22×C414yes—
433C11×C4⋊C4—22no—
434C11×C4⋊C4—22no—
435C11×C4⋊C4—22no—
436C11×C4⋊C4—41no—
437C11×C4⋊C4—41no—
438C11×C4⋊C4—41no—
439C11×C4⋊C4—41no—
440C11×C4⋊C4—41no—
441C11×C4⋊C4C22×C414yes—
442C11×C4⋊C4C22×C414yes—
443C11×C4⋊C4C22×C414yes—
444C11×C22⋊C4—22no—
445C11×C22⋊C4C22×C414yes—
446C11×C22⋊C4C22×C414yes—
447C11×C22⋊C4C2×Q814yes—
448C42×C11—22no—
449C42×C11—41no—
450C42×C11—41no—
451C42×C11—41no—
452C42×C11—41no—
453C42×C11—41no—
454C22⋊Dic11—22no—
455C22⋊Dic11C22×C414yes—
456C22⋊Dic11C22×C414yes—
457C22⋊Dic11C2×Q814yes—
458C4⋊Dic11—22no—
459C4⋊Dic11—41no—
460C4⋊Dic11—41no—
461C4⋊Dic11—41no—
462C4⋊Dic11C22×C414yes—
463C4⋊Dic11C22×C414yes—
464C4⋊Dic11C22×C414yes—
465Dic11⋊C4—22no—
466Dic11⋊C4—22no—
467Dic11⋊C4—22no—
468Dic11⋊C4—22no—
469Dic11⋊C4—22no—
470Dic11⋊C4—22no—
471Dic11⋊C4—22no—
472Dic11⋊C4—22no—
473Dic11⋊C4—22no—
474Dic11⋊C4—22no—
475Dic11⋊C4—41no—
476Dic11⋊C4—41no—
477Dic11⋊C4—41no—
478Dic11⋊C4—41no—
479Dic11⋊C4—41no—
480Dic11⋊C4—41no—
481Dic11⋊C4—41no—
482Dic11⋊C4—41no—
483Dic11⋊C4C22×C414yes—
484Dic11⋊C4C22×C414yes—
485Dic11⋊C4C22×C414yes—
486Dic11⋊C4C22×C414yes—
487Dic11⋊C4C22×C414yes—
488Dic11⋊C4C22×C414yes—
489Dic11⋊C4C22×C414yes—
490Dic11⋊C4C22×C414yes—
491Dic11⋊C4C22×C414yes—
492Dic11⋊C4C22×C414yes—
493Dic11⋊C4C22×C414yes—
494Dic11⋊C4C22×C414yes—
495Dic11⋊C4C22×C414yes—
496Dic11⋊C4C22×C414yes—
497Dic11⋊C4C2×Q814yes—
498Dic11⋊C4C2×Q814yes—
499C4×Dic11—22no—
500C4×Dic11—22no—
501C4×Dic11—22no—
502C4×Dic11—22no—
503C4×Dic11—22no—
504C4×Dic11—22no—
505C4×Dic11—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—41no—
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×Dic11C22×C414yes—
524C4×Dic11C22×C414yes—
525C4×Dic11C22×C414yes—
526C4×Dic11C22×C414yes—
527C4×Dic11C2×Q814yes—
528C4×Dic11C2×Q814yes—
529C2×#544—111no—
530#2370—111no—
531#2370—111no—
532#2370—111no—
533#2370—111no—
534#2369—111no—
535#2369—111no—
536#2368—111no—
537#2368—111no—
538#2368—111no—
539#2368—111no—
540#2365—111no—
541#2365—111no—
542#2360—111no—
543#2360—111no—
544#2360—111no—
545#2360D1111yescharacteristic
546#2331—111no—
547#2331—111no—
548#2330—111no—
549#2330—111no—
550#2317—111no—
551C4×C4⋊Q8—111no—
552C4×C4⋊Q8—111no—
553C4×#125—111no—
554C4×#125—111no—
555#2296—111no—
556C2×#389—111no—
557#2274—111no—
558#2274—111no—
559C4×#117—111no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11C23×C412yes—
565C23×C11C22×Q812yes—
566C23×C11C2×#4112yes—
567C23×C11C2511yescharacteristic
568Q8×C11—44no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
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—44no—
603C2×C4×C11—44no—
604C2×C4×C11—82no—
605C2×C4×C11C23×C412yes—
606C2×C4×C11C23×C412yes—
607C2×C4×C11C23×C412yes—
608C2×C4×C11C23×C412yes—
609C2×C4×C11C23×C412yes—
610C2×C4×C11C23×C412yes—
611C2×C4×C11C22×Q812yes—
612C2×C4×C11C22×Q812yes—
613C2×C4×C11H(5,𝔽2)12yes—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
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—44no—
648C2×Dic11—44no—
649C2×Dic11—82no—
650C2×Dic11C4×Q8116yescomplemented
651C2×Dic11C23×C412yes—
652C2×Dic11C23×C412yes—
653C2×Dic11C23×C412yes—
654C2×Dic11C23×C412yes—
655C2×Dic11C23×C412yes—
656C2×Dic11C23×C412yes—
657C2×Dic11C23×C412yes—
658C2×Dic11C23×C412yes—
659C2×Dic11C22×Q812yes—
660C2×Dic11C22×Q812yes—
661C2×Dic11C22×Q812yes—
662C2×Dic11C22×Q812yes—
663C2×Dic11C2×#4112yes—
664C2×Dic11C2×#4112yes—
665C2×Dic112−1+412yes—
666Dic22—44no—
667Dic22—44no—
668Dic22—44no—
669#544—1116no—
670C2×C4⋊Q8—111no—
671C2×C4⋊Q8—111no—
672C2×C4⋊Q8—111no—
673C2×C4⋊Q8—111no—
674C2×#125—111no—
675C2×#125—111no—
676C2×#125—111no—
677C2×#125—111no—
678C2×C22⋊Q8—111no—
679C2×C22⋊Q8—111no—
680C2×C22⋊Q8—111no—
681C2×C22⋊Q8C2×D1111yescharacteristic
682C2×C4×Q8—111no—
683C2×C4×Q8—111no—
684C2×C4×Q8—111no—
685C2×C4×Q8C2×D1111yescharacteristic
686C2×#117—111no—
687C2×#117—111no—
688C2×#117—111no—
689C2×#117—111no—
690C22×C4⋊C4—111no—
691C22×C4⋊C4—111no—
692C22×C4⋊C4—111no—
693C22×C4⋊C4C2×D1111yescharacteristic
694C22×C42—111no—
695#391—111no—
696#391—111no—
697#391—111no—
698#391—111no—
699#391—111no—
700#391—111no—
701#391—111no—
702#391—111no—
703#391—111no—
704#391—111no—
705#391—111no—
706#391C2×D1111yescharacteristic
707#389—111no—
708#389—111no—
709#389—111no—
710#389—111no—
711#389—111no—
712#389—111no—
713#389—111no—
714#389—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#389—111no—
726#389—111no—
727#389—111no—
728#389—111no—
729#389—111no—
730#389—111no—
731#389—111no—
732#389C2×D1111yescharacteristic
733#389C2×D1111yescharacteristic
734#389C2×D1111yescharacteristic
735#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387—111no—
744#387—111no—
745#387—111no—
746#387—111no—
747#387—111no—
748#387—111no—
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#387C2×D1111yescharacteristic
758#387C2×D1111yescharacteristic
759#385—111no—
760#385—111no—
761#385—111no—
762#385—111no—
763#385—111no—
764#385—111no—
765#385C2×D1111yescharacteristic
766#385C2×D1111yescharacteristic
767#384—111no—
768#384—111no—
769#382—111no—
770#382—111no—
771C4×C4⋊C4—111no—
772C4×C4⋊C4—111no—
773C4×C4⋊C4—111no—
774C4×C4⋊C4—111no—
775C4×C4⋊C4—111no—
776C4×C4⋊C4—111no—
777C4×C4⋊C4—111no—
778C4×C4⋊C4—111no—
779C4×C4⋊C4—111no—
780C4×C4⋊C4—111no—
781C4×C4⋊C4—111no—
782C4×C4⋊C4—111no—
783C4×C4⋊C4—111no—
784C4×C4⋊C4—111no—
785C4×C4⋊C4—111no—
786C4×C4⋊C4—111no—
787C4×C4⋊C4—111no—
788C4×C4⋊C4—111no—
789C4×C4⋊C4—111no—
790C4×C4⋊C4—111no—
791C4×C4⋊C4—111no—
792C4×C4⋊C4—111no—
793C4×C4⋊C4—111no—
794C4×C4⋊C4—111no—
795C4×C4⋊C4—111no—
796C4×C4⋊C4—111no—
797C4×C4⋊C4—111no—
798C4×C4⋊C4—111no—
799C4×C4⋊C4—111no—
800C4×C4⋊C4—111no—
801C4×C4⋊C4—111no—
802C4×C4⋊C4—111no—
803C4×C4⋊C4—111no—
804C4×C4⋊C4—111no—
805C4×C4⋊C4—111no—
806C4×C4⋊C4C2×D1111yescharacteristic
807C4×C22⋊C4—111no—
808C4×C22⋊C4—111no—
809C4×C22⋊C4—111no—
810C4×C22⋊C4—111no—
811C4×C22⋊C4—111no—
812C4×C22⋊C4—111no—
813C4×C22⋊C4—111no—
814C4×C22⋊C4—111no—
815C4×C22⋊C4—111no—
816C4×C22⋊C4C2×D1111yescharacteristic
817C4×C22⋊C4C2×D1111yescharacteristic
818C4×C22⋊C4C2×D1111yescharacteristic
819#376—111no—
820#376—111no—
821C2×#95—111no—
822C2×#95—111no—
823C43—111no—
824C43—111no—
825C22×C11—22no—
826C22×C11—22no—
827C22×C11—22no—
828C22×C11—22no—
829C22×C11—22no—
830C22×C11—22no—
831C22×C11C2×C4×Q814yes—
832C22×C11C24×C411yescharacteristic
833C22×C11C23×Q811yescharacteristic
834C22×C11C22×#4111yescharacteristic
835C22×C11C2×H(5,𝔽2)11yescharacteristic
836C22×C11C2×2−1+411yescharacteristic
837C22×C11#58511yescharacteristic
838C22×C11#58511yescharacteristic
839C4×C11—22no—
840C4×C11—22no—
841C4×C11—22no—
842C4×C11—22no—
843C4×C11—22no—
844C4×C11—22no—
845C4×C11—22no—
846C4×C11—22no—
847C4×C11—22no—
848C4×C11—41no—
849C4×C11—41no—
850C4×C11—41no—
851C4×C11—41no—
852C4×C11—41no—
853Dic11—22no—
854Dic11—22no—
855Dic11—22no—
856Dic11—22no—
857Dic11—22no—
858Dic11—22no—
859Dic11—22no—
860Dic11—22no—
861Dic11—22no—
862Dic11—41no—
863Dic11—41no—
864Dic11—41no—
865Dic11—41no—
866Dic11—41no—
867Dic11C2×C4×Q814yes—
868Dic11C2×C4×Q814yes—
869C22×Q8—111no—
870C22×Q8—111no—
871C22×Q8—111no—
872C22×Q8C22×D1111yescharacteristic
873C23×C4—111no—
874C23×C4—111no—
875C23×C4—111no—
876C23×C4—111no—
877C23×C4C22×D1111yescharacteristic
878C23×C4C22×D1111yescharacteristic
879C23×C4C22×D1111yescharacteristic
880C4⋊Q8—118no—
881C4⋊Q8—118no—
882C4⋊Q8—118no—
883C4⋊Q8—118no—
884#125—118no—
885#125—118no—
886#125—118no—
887#125—118no—
888C22⋊Q8—118no—
889C22⋊Q8—118no—
890C22⋊Q8—118no—
891C22⋊Q8C4×D1118yes—
892C4×Q8—42no—
893C4×Q8—442no—
894C4×Q8—442no—
895C4×Q8—442no—
896#117—118no—
897#117—118no—
898#117—118no—
899#117—224no—
900C2×C4⋊C4—42no—
901C2×C4⋊C4—118no—
902C2×C4⋊C4—111no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—111no—
911C2×C4⋊C4—111no—
912C2×C4⋊C4—111no—
913C2×C4⋊C4—111no—
914C2×C4⋊C4—111no—
915C2×C4⋊C4—111no—
916C2×C4⋊C4—111no—
917C2×C4⋊C4—111no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
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—224no—
944C2×C4⋊C4—442no—
945C2×C4⋊C4C22×D1111yescharacteristic
946C2×C4⋊C4C22×D1111yescharacteristic
947C2×C4⋊C4C22×D1111yescharacteristic
948C2×C4⋊C4C22×D1111yescharacteristic
949C2×C4⋊C4C22×D1111yescharacteristic
950C2×C4⋊C4C22×D1111yescharacteristic
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C4⋊C4C22×D1111yescharacteristic
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4C22×D1111yescharacteristic
961C2×C22⋊C4C22×D1111yescharacteristic
962C2×C22⋊C4C22×D1111yescharacteristic
963C2×C22⋊C4C22×D1111yescharacteristic
964C2×C42—111no—
965C2×C42—111no—
966C2×C42—111no—
967C2×C42—111no—
968C2×C42—111no—
969C2×C42—111no—
970C2×C42—111no—
971C2×C42—111no—
972C2×C42—111no—
973C2×C42—111no—
974C2×C42—111no—
975C2×C42—111no—
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—111no—
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—111no—
990C2×C42—111no—
991C2×C42—111no—
992C2×C42—111no—
993C2×C42—111no—
994C2×C42—224no—
995C2×C42C22×D1111yescharacteristic
996C2×C42C22×D1111yescharacteristic
997C2×C42C22×D1111yescharacteristic
998C2×C42C22×D1111yescharacteristic
999C2×C42C22×D1111yescharacteristic
1000C2×C42C22×D1111yescharacteristic
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95—111no—
1009#95—111no—
1010#95—111no—
1011#95—111no—
1012#95—111no—
1013#95—111no—
1014#95—111no—
1015#95—111no—
1016#95—111no—
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#95C22×D1111yescharacteristic
1040#95C22×D1111yescharacteristic
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043#95C22×D1111yescharacteristic
1044#95C22×D1111yescharacteristic
1045#95C22×D1111yescharacteristic
1046#95C22×D1111yescharacteristic
1047#95C22×D1111yescharacteristic
1048#95C22×D1111yescharacteristic
1049C2×C11—24no—
1050C2×C11C22×C4×Q811yescharacteristic
1051C2×C11C4×H(5,𝔽2)11yescharacteristic
1052C2×C11C4×2−1+411yescharacteristic
1053C2×C11#349411yescharacteristic
1054C2×C11#349511yescharacteristic
1055C2×C11#350311yescharacteristic
1056C2×C11#350411yescharacteristic
1057C24C23×D1111yescharacteristic
1058C2×Q8—41no—
1059C2×Q8—41no—
1060C2×Q8—114no—
1061C2×Q8—114no—
1062C2×Q8—114no—
1063C2×Q8—441no—
1064C2×Q8—441no—
1065C2×Q8—441no—
1066C2×Q8—441no—
1067C2×Q8—441no—
1068C2×Q8—441no—
1069C2×Q8C2×C4×D1114yes—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—41no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—114no—
1079C22×C4—114no—
1080C22×C4—114no—
1081C22×C4—111no—
1082C22×C4—111no—
1083C22×C4—111no—
1084C22×C4—111no—
1085C22×C4—111no—
1086C22×C4—111no—
1087C22×C4—111no—
1088C22×C4—111no—
1089C22×C4—111no—
1090C22×C4—111no—
1091C22×C4—111no—
1092C22×C4—114no—
1093C22×C4—111no—
1094C22×C4—111no—
1095C22×C4—111no—
1096C22×C4—111no—
1097C22×C4—111no—
1098C22×C4—222no—
1099C22×C4—222no—
1100C22×C4—222no—
1101C22×C4—441no—
1102C22×C4—441no—
1103C22×C4—441no—
1104C22×C4—441no—
1105C22×C4—441no—
1106C22×C4C2×C4×D1114yes—
1107C22×C4C23×D1111yescharacteristic
1108C22×C4C23×D1111yescharacteristic
1109C22×C4C23×D1111yescharacteristic
1110C22×C4C23×D1111yescharacteristic
1111C22×C4C23×D1111yescharacteristic
1112C22×C4C23×D1111yescharacteristic
1113C22×C4C23×D1111yescharacteristic
1114C22×C4C23×D1111yescharacteristic
1115C22×C4C23×D1111yescharacteristic
1116C22×C4C23×D1111yescharacteristic
1117C22×C4C23×D1111yescharacteristic
1118C22×C4C23×D1111yescharacteristic
1119C22×C4C23×D1111yescharacteristic
1120C22×C4C23×D1111yescharacteristic
1121C4⋊C4—22no—
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—114no—
1130C4⋊C4—114no—
1131C4⋊C4—114no—
1132C4⋊C4—114no—
1133C4⋊C4—114no—
1134C4⋊C4—114no—
1135C4⋊C4—114no—
1136C4⋊C4—114no—
1137C4⋊C4—114no—
1138C4⋊C4—114no—
1139C4⋊C4—114no—
1140C4⋊C4—114no—
1141C4⋊C4—114no—
1142C4⋊C4—114no—
1143C4⋊C4—114no—
1144C4⋊C4—114no—
1145C4⋊C4—114no—
1146C4⋊C4—114no—
1147C4⋊C4—114no—
1148C4⋊C4—222no—
1149C4⋊C4—222no—
1150C4⋊C4—222no—
1151C4⋊C4—222no—
1152C4⋊C4—222no—
1153C4⋊C4—222no—
1154C4⋊C4—222no—
1155C4⋊C4—222no—
1156C4⋊C4—222no—
1157C4⋊C4—222no—
1158C4⋊C4—222no—
1159C4⋊C4—441no—
1160C4⋊C4—441no—
1161C4⋊C4—441no—
1162C4⋊C4—441no—
1163C4⋊C4—441no—
1164C4⋊C4—441no—
1165C4⋊C4—441no—
1166C4⋊C4—441no—
1167C4⋊C4—441no—
1168C4⋊C4—441no—
1169C4⋊C4—441no—
1170C4⋊C4C2×C4×D1114yes—
1171C4⋊C4C2×C4×D1114yes—
1172C4⋊C4C2×C4×D1114yes—
1173C22⋊C4—22no—
1174C22⋊C4—114no—
1175C22⋊C4—114no—
1176C22⋊C4—114no—
1177C22⋊C4—222no—
1178C22⋊C4C2×C4×D1114yes—
1179C22⋊C4C2×C4×D1114yes—
1180C22⋊C4Q8×D1114yes—
1181C42—22no—
1182C42—41no—
1183C42—41no—
1184C42—41no—
1185C42—41no—
1186C42—41no—
1187C42—114no—
1188C42—114no—
1189C42—114no—
1190C42—114no—
1191C42—114no—
1192C42—114no—
1193C42—222no—
1194C42—222no—
1195C42—222no—
1196C42—222no—
1197C42—222no—
1198C42—222no—
1199C42—222no—
1200C42—222no—
1201C42—222no—
1202C42—441no—
1203C42—441no—
1204C42—441no—
1205C42—441no—
1206C42—441no—
1207C42—441no—
1208C42—441no—
1209C42—441no—
1210C42—441no—
1211C42—441no—
1212C42—441no—
1213C42—441no—
1214C42—441no—
1215C42—441no—
1216C42—441no—
1217C11#3427211yescharacteristic, complemented, Sylow
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23C22×C4×D1112yes—
1223C23C2×Q8×D1112yes—
1224C23#41×D1112yes—
1225C23C24×D1111yescharacteristic
1226Q8—44no—
1227Q8—444no—
1228Q8—444no—
1229Q8—444no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—44no—
1264C2×C4—44no—
1265C2×C4—82no—
1266C2×C4—1116no—
1267C2×C4—112no—
1268C2×C4—112no—
1269C2×C4—112no—
1270C2×C4—112no—
1271C2×C4—112no—
1272C2×C4—112no—
1273C2×C4—112no—
1274C2×C4—112no—
1275C2×C4—112no—
1276C2×C4—112no—
1277C2×C4—112no—
1278C2×C4—112no—
1279C2×C4—112no—
1280C2×C4—112no—
1281C2×C4—112no—
1282C2×C4—221no—
1283C2×C4—221no—
1284C2×C4—221no—
1285C2×C4—221no—
1286C2×C4—221no—
1287C2×C4—221no—
1288C2×C4—221no—
1289C2×C4—221no—
1290C2×C4—221no—
1291C2×C4—221no—
1292C2×C4—221no—
1293C2×C4—221no—
1294C2×C4—221no—
1295C2×C4—221no—
1296C2×C4—221no—
1297C2×C4—221no—
1298C2×C4—221no—
1299C2×C4—221no—
1300C2×C4—221no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—221no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—444no—
1316C2×C4—444no—
1317C2×C4—882no—
1318C2×C4C22×C4×D1112yes—
1319C2×C4C22×C4×D1112yes—
1320C2×C4C22×C4×D1112yes—
1321C2×C4C22×C4×D1112yes—
1322C2×C4C22×C4×D1112yes—
1323C2×C4C22×C4×D1112yes—
1324C2×C4#6703712yes—
1325C2×C4C2×Q8×D1112yes—
1326C2×C4C2×Q8×D1112yes—
1327C22—22no—
1328C22—22no—
1329C22—22no—
1330C22—22no—
1331C22—22no—
1332C22—22no—
1333C22C4×Q8×D1114yes—
1334C22C23×C4×D1111yescharacteristic
1335C22C2×#6703711yescharacteristic
1336C22C22×Q8×D1111yescharacteristic
1337C22C2×#41×D1111yescharacteristic
1338C22#1062345311yescharacteristic
1339C22#1062345511yescharacteristic
1340C22D11×2−1+411yescharacteristic
1341C4—22no—
1342C4—22no—
1343C4—22no—
1344C4—22no—
1345C4—22no—
1346C4—22no—
1347C4—22no—
1348C4—22no—
1349C4—22no—
1350C4—41no—
1351C4—41no—
1352C4—41no—
1353C4—41no—
1354C4—41no—
1355C4—114no—
1356C4—114no—
1357C4—222no—
1358C4—222no—
1359C4—222no—
1360C4—222no—
1361C4—222no—
1362C4—222no—
1363C4—222no—
1364C4—222no—
1365C4—222no—
1366C4—441no—
1367C4—441no—
1368C4—441no—
1369C4—441no—
1370C4—441no—
1371C2—24no—
1372C2C2×C4×Q8×D1111yescharacteristic
1373C2C4×#6703711yescharacteristic
1374C2#1308182711yescharacteristic
1375C2#1308233811yescharacteristic
1376C2#1308235911yescharacteristic
1377C2#1308242711yescharacteristic
1378C2#1308243611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2360C2
socle, cosocleC23×C11C25
prime radicalC24×C11C24
hypercenter#2360D11
hypocenterC11#34272
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2360

Complements

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

NH ≅ G/Ntype
2. #13071715C2semidirect
3. #13071715C2semidirect
4. #13071713C2semidirect
5. #13071707C2semidirect
6. #13071704C2semidirect
7. #13071702C2semidirect
12. #13071671C2semidirect
13. #13071670C2semidirect
17. #13071361C2semidirect
18. #13071359C2semidirect
19. #13071354C2semidirect
20. #13071354C2semidirect
22. #13071187C2semidirect
23. C4×#66997C2semidirect
24. #13071173C2semidirect
25. C4×#66942C2semidirect
42. #10623154C4semidirect
227. #66997C2×C4semidirect
228. #66997C2×C4semidirect
305. #66942C2×C4semidirect
306. #66942C2×C4semidirect
307. #66942C2×C4semidirect
308. #66942C2×C4semidirect
309. #66941C2×C4semidirect
310. #66941C2×C4semidirect
318. #66930Q8semidirect
650. C2×Dic11C4×Q8semidirect
1217. C11#34272semidirect

Maximal subgroups

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

subgroupindex
C2×#106231542
#130717152
#130717132
#130717072
#130717042
#130717022
#130717012
#130716992
#130716972
#130716942
#130716712
#130716702
#130716222
#130716212
#130716162
#130713612
#130713592
#130713542
#130712352
#130711872
C4×#669972
#130711732
C4×#669422
#130710952
C2×#106225852
#130709712
C4×#669302
C11×#23602
#3427211