Finite Group Databasebeta

← #14961265

Subgroups — #14961265

Order 2816.

2064 conjugacy classes of subgroups.

The subgroup lattice has 1526 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623171C211yesmaximal, characteristic, complemented
2C2×#10623191C211yesmaximal, characteristic, complemented
3#13076964C211yesmaximal, characteristic, complemented
4#13076945C211yesmaximal, characteristic, complemented
5#13075523C211yesmaximal, characteristic, complemented
6#13075489C211yesmaximal, characteristic, complemented
7#13075459C211yesmaximal, characteristic, complemented
8#13075450C211yesmaximal, characteristic, complemented
9#13075426C211yesmaximal, characteristic, complemented
10#13075390C211yesmaximal, characteristic, complemented
11#13075351C211yesmaximal, characteristic, complemented
12#13075333C211yesmaximal, characteristic, complemented
13#13075150C211yesmaximal, characteristic, complemented
14#13075105C211yesmaximal, characteristic, complemented
15#13075060C211yesmaximal, characteristic, complemented
16#13075021C211yesmaximal, characteristic, complemented
17#13074925C211yesmaximal, characteristic, complemented
18#13074890C211yesmaximal, characteristic, complemented
19#13074869C211yesmaximal, characteristic, complemented
20#13074851C211yesmaximal, characteristic
21#13074764C211yesmaximal, characteristic, complemented
22#13074313C211yesmaximal, characteristic, complemented
23#13074252C211yesmaximal, characteristic, complemented
24#13074233C211yesmaximal, characteristic, complemented
25#13074220C211yesmaximal, characteristic, complemented
26#13074002C211yesmaximal, characteristic, complemented
27#13073994C211yesmaximal, characteristic, complemented
28#13072042C211yesmaximal, characteristic, complemented
29#13072020C211yesmaximal, characteristic, complemented
30#13071055C211yesmaximal, characteristic, complemented
31C11×#2663C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×#67000C2211yescharacteristic
35C2×#66997C2211yescharacteristic
36C2×#66997C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×#66991C2211yescharacteristic
39C2×#66988C2211yescharacteristic
40C2×#66982C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×#66977C2211yescharacteristic
43C22×C4×Dic11C2211yescharacteristic
44#10623191—28no—
45#10623171—28no—
46C2×#66951C2211yescharacteristic
47C2×#66949C2211yescharacteristic
48C2×#66949C2211yescharacteristic
49C2×#66949C2211yescharacteristic
50C2×#66947C2211yescharacteristic
51C2×#66947C2211yescharacteristic
52C2×#66945C2211yescharacteristic
53C2×C4⋊C4×D11C2211yescharacteristic
54C2×#66943C2211yescharacteristic
55C2×#66942C2211yescharacteristic
56C2×#66940C2211yescharacteristic
57C2×#66938C2211yescharacteristic
58C2×#66938C2211yescharacteristic
59C2×#66937C2211yescharacteristic
60C2×#66936C2211yescharacteristic
61C2×#66936C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic
63C2×#66932C2211yescharacteristic
64C2×#66932C2211yescharacteristic
65C2×#66932C2211yescharacteristic
66C2×#66931C2211yescharacteristic
67C2×#66931C2211yescharacteristic
68C2×#66925C2211yescharacteristic
69C11×#400C2211yescharacteristic
70C11×#399C2211yescharacteristic
71C11×#397C2211yescharacteristic
72C11×#397C2211yescharacteristic
73C11×#395C2211yescharacteristic
74C11×#394C2211yescharacteristic
75C11×#394C2211yescharacteristic
76C11×#393C2211yescharacteristic
77C11×#389C2211yescharacteristic
78C11×#389C2211yescharacteristic
79C11×#388C2211yescharacteristic
80C11×#388C2211yescharacteristic
81C4×C11×C22⋊C4C2211yescharacteristic
82#10622843C2211yescharacteristic
83#10622833C2211yescharacteristic
84#10622607C2211yescharacteristic
85#10622605C2211yescharacteristic
86#10622603C2211yescharacteristic
87#10622603C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622597C2211yescharacteristic
93#10622597C2211yescharacteristic
94#10622597C2211yescharacteristic
95#10622594C2211yescharacteristic
96#10622593C2211yescharacteristic
97#10622592C2211yescharacteristic
98#10622592C2211yescharacteristic
99#10622589C2211yescharacteristic
100#10622587C2211yescharacteristic
101#10622585C2211yescharacteristic
102#10622585C2211yescharacteristic
103#10622585C2211yescharacteristic
104#10622585C2211yescharacteristic
105#10622585C2211yescharacteristic
106#10622585C2211yescharacteristic
107#10622585C2211yescharacteristic
108#10622585C2211yescharacteristic
109#10622574C2211yescharacteristic
110#10622574C2211yescharacteristic
111#10622574C2211yescharacteristic
112#10622573C2211yescharacteristic
113#10622572C2211yescharacteristic
114#10622572C2211yescharacteristic
115#10622572C2211yescharacteristic
116#10622571C2211yescharacteristic
117#10622571C2211yescharacteristic
118#10622571C2211yescharacteristic
119#10622571C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622569C2211yescharacteristic
123#10622566C2211yescharacteristic
124#10622566C2211yescharacteristic
125#10622564C2211yescharacteristic
126#10622562C2211yescharacteristic
127#10622561C2211yescharacteristic
128#10622560C2211yescharacteristic
129#10622559C2211yescharacteristic
130#10622559C2211yescharacteristic
131#10622559C2211yescharacteristic
132#10622558C2211yescharacteristic
133#10622558C2211yescharacteristic
134#10622558C2211yescharacteristic
135#10622558C2211yescharacteristic
136#10622555C2211yescharacteristic
137#10622555C2211yescharacteristic
138#10622555C2211yescharacteristic
139#10622555C2211yescharacteristic
140#10622555C2211yescharacteristic
141#10622555C2211yescharacteristic
142#10622553C2211yescharacteristic
143#10622553C2211yescharacteristic
144C4×(C2×D11)⋊C4C2211yescharacteristic
145#10622545C2211yescharacteristic
146C4×Dic11⋊C4C2211yescharacteristic
147#10622541C2211yescharacteristic
148#10622541C2211yescharacteristic
149#10622290C2211yescharacteristic
150#10622289C2211yescharacteristic
151#10622289C2211yescharacteristic
152#10622288C2211yescharacteristic
153#10622288C2211yescharacteristic
154#10622288C2211yescharacteristic
155#10622287C2211yescharacteristic
156#10622286C2211yescharacteristic
157#10622285C2211yescharacteristic
158#10622282C2211yescharacteristic
159#10622282C2211yescharacteristic
160#10622282C2211yescharacteristic
161#10622281C2211yescharacteristic
162#10622281C2211yescharacteristic
163#10622281C2211yescharacteristic
164#10622281C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622277C2211yescharacteristic
167#10622273C2211yescharacteristic
168#10622273C2211yescharacteristic
169#10622272C2211yescharacteristic
170#10622270C2211yescharacteristic
171#10622270C2211yescharacteristic
172#10622270C2211yescharacteristic
173#10622270C2211yescharacteristic
174#10622269C2211yescharacteristic
175#10622269C2211yescharacteristic
176#10622269C2211yescharacteristic
177#10622269C2211yescharacteristic
178#10622268C2211yescharacteristic
179#10622267C2211yescharacteristic
180#10622265C2211yescharacteristic
181#10622265C2211yescharacteristic
182#10622265C2211yescharacteristic
183#10622265C2211yescharacteristic
184#10622265C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622260C2211yescharacteristic
187#10622260C2211yescharacteristic
188#10622259C2211yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C22×D44C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×Dic22C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C22×Dic22C2311yescharacteristic
207C11×#123—24no—
208C11×C22⋊Q8—24no—
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
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
240#67000—24no—
241#66997—24no—
242#66997—42no—
243#66992—42no—
244#66991—24no—
245#66988—24no—
246#66982—24no—
247C4×C22⋊D11D418yescomplemented
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277#66977—24no—
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×C4×Dic11—42no—
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316#66951—24no—
317#66949—24no—
318#66949—24no—
319#66949—24no—
320#66947—24no—
321#66947—42no—
322#66945—24no—
323C4⋊C4×D11—24no—
324#66943—24no—
325#66942—24no—
326#66940—24no—
327#66938—24no—
328#66938—24no—
329#66937—24no—
330#66936—24no—
331#66936—24no—
332(C22⋊D11)⋊C4—24no—
333#66932—24no—
334#66932—24no—
335#66932—24no—
336#66931—24no—
337#66931—42no—
338#66925—42no—
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379#36743—111nomaximal, Sylow
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C23×D11C2411yescharacteristic
384C2×Q8×C11—22no—
385C2×Q8×C11—41no—
386C2×Q8×C11—41no—
387C2×D4×C11—22no—
388C2×D4×C11—41no—
389C2×D4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11C2×D414yes—
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—22no—
409C2×C22⋊D11—41no—
410C2×C22⋊D11—41no—
411C2×C22⋊D11—41no—
412C2×C22⋊D11—41no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11C2×D414yes—
418C22×Dic11—22no—
419C22×Dic11—22no—
420C22×Dic11—22no—
421C22×Dic11—22no—
422C22×Dic11—41no—
423C22×Dic11—41no—
424C22×Dic11—41no—
425C22×Dic11—41no—
426C22×Dic11—41no—
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C2×D44—22no—
442C2×D44—41no—
443C2×D44—41no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11C2×D414yes—
456C2×Dic22—22no—
457C2×Dic22—22no—
458C2×Dic22—22no—
459C2×Dic22—41no—
460C2×Dic22—41no—
461C2×Dic22—41no—
462C2×Dic22—41no—
463C2×Dic22—41no—
464C2×Dic22—41no—
465C11×C4⋊C4—22no—
466C11×C4⋊C4—22no—
467C11×C4⋊C4—22no—
468C11×C4⋊C4—22no—
469C11×C4⋊C4—22no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C22⋊C4—22no—
475C11×C22⋊C4—22no—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C42×C11—41no—
486C42×C11—41no—
487C22⋊Dic11—22no—
488C22⋊Dic11—22no—
489C22⋊Dic11—22no—
490C22⋊Dic11—22no—
491C22⋊Dic11—22no—
492C22⋊Dic11—22no—
493C22⋊Dic11—22no—
494C22⋊Dic11—41no—
495C22⋊Dic11C2×D414yes—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—22no—
498(C2×D11)⋊C4—22no—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—22no—
501(C2×D11)⋊C4—22no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4C2×D414yes—
516C4⋊Dic11—22no—
517C4⋊Dic11—22no—
518C4⋊Dic11—22no—
519C4⋊Dic11—22no—
520C4⋊Dic11—22no—
521C4⋊Dic11—41no—
522C4⋊Dic11—41no—
523C4⋊Dic11—41no—
524C4⋊Dic11—41no—
525Dic11⋊C4—22no—
526Dic11⋊C4—22no—
527Dic11⋊C4—22no—
528Dic11⋊C4—22no—
529Dic11⋊C4—22no—
530Dic11⋊C4—22no—
531Dic11⋊C4—22no—
532Dic11⋊C4—22no—
533Dic11⋊C4—22no—
534Dic11⋊C4—22no—
535Dic11⋊C4—22no—
536Dic11⋊C4—22no—
537Dic11⋊C4—22no—
538Dic11⋊C4—22no—
539Dic11⋊C4—22no—
540Dic11⋊C4—22no—
541Dic11⋊C4—22no—
542Dic11⋊C4—22no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4C2×D414yes—
553C4×Dic11—22no—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—22no—
558C4×Dic11—22no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11C2×D414yes—
562C2×#542—111no—
563C2×#539—111no—
564#2857—111no—
565#2854—111no—
566#2722—111no—
567#2720—111no—
568#2718—111no—
569#2717—111no—
570#2715—111no—
571#2713—111no—
572#2710—111no—
573#2708—111no—
574#2695—111no—
575#2692—111no—
576#2689—111no—
577#2686—111no—
578#2677—111no—
579#2674—111no—
580#2672—111no—
581#2671—111no—
582#2663—111no—
583#2663D1111yescharacteristic, complemented
584#2611—111no—
585#2604—111no—
586#2602—111no—
587#2601—111no—
588#2584—111no—
589#2583—111no—
590#2415—111no—
591#2413—111no—
592#2290—111no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11C22×D412yes—
607C23×C11C2511yescharacteristic
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11C22×D412yes—
622Q8×C11—82no—
623D4×C11—82no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—44no—
662C2×C4×C11C22×D412yes—
663C2×C4×C11C22×D412yes—
664C22⋊D11—44no—
665C22⋊D11—44no—
666C22⋊D11—82no—
667C22⋊D11—82no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—44no—
705C2×Dic11—44no—
706C2×Dic11—82no—
707C2×Dic11C22×D412yes—
708C2×Dic11C22×D412yes—
709C2×Dic11C22×D412yes—
710C2×Dic11H(5,𝔽2)12yes—
711C2×Dic112−1+412yes—
712C2×Dic112−1+412yes—
713D44—82no—
714C4×D11—44no—
715C4×D11—44no—
716C4×D11—44no—
717C4×D11—82no—
718Dic22—44no—
719Dic22—82no—
720Dic22—82no—
721#542—228no—
722#539—228no—
723C2×C4⋊Q8—111no—
724C2×C4⋊Q8—111no—
725C2×#126—111no—
726C2×#126—111no—
727C2×#126—111no—
728C2×#126—111no—
729C2×#125—111no—
730C2×#125—111no—
731C2×#124—111no—
732C2×#124—111no—
733C2×#124—111no—
734C2×#123—111no—
735C2×#123—111no—
736C2×#123—111no—
737C2×#123—111no—
738C2×#123—111no—
739C2×#123—111no—
740C2×#123C2×D1111yescharacteristic
741C2×C22⋊Q8—111no—
742C2×C22⋊Q8—111no—
743C2×C22⋊Q8—111no—
744C2×C22⋊Q8—111no—
745C2×C22⋊Q8—111no—
746C2×C22⋊Q8—111no—
747C2×C22⋊Q8C2×D1111yescharacteristic
748C2×#121—111no—
749C2×#121—111no—
750C2×#121—111no—
751C2×C4×Q8—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×#117—111no—
755C2×#117—111no—
756C22×C4⋊C4—111no—
757C22×C42—111no—
758#400—111no—
759#400—111no—
760#400—111no—
761#400C2×D1111yescharacteristic
762#399—111no—
763#399—111no—
764#399—111no—
765#399C2×D1111yescharacteristic
766#398—111no—
767#398—111no—
768#398—111no—
769#398—111no—
770#398—111no—
771#398—111no—
772#398—111no—
773#398—111no—
774#397—111no—
775#397—111no—
776#397—111no—
777#397—111no—
778#397—111no—
779#397—111no—
780#397C2×D1111yescharacteristic
781#397C2×D1111yescharacteristic
782#396—111no—
783#396—111no—
784#396—111no—
785#396—111no—
786#395—111no—
787#395—111no—
788#395—111no—
789#395—111no—
790#395—111no—
791#395—111no—
792#395C2×D1111yescharacteristic
793#394—111no—
794#394—111no—
795#394—111no—
796#394—111no—
797#394—111no—
798#394—111no—
799#394—111no—
800#394C2×D1111yescharacteristic
801#394C2×D1111yescharacteristic
802#393—111no—
803#393—111no—
804#393C2×D1111yescharacteristic
805#392—111no—
806#391—111no—
807#391—111no—
808#391—111no—
809#390—111no—
810#390—111no—
811#389—111no—
812#389—111no—
813#389—111no—
814#389—111no—
815#389—111no—
816#389—111no—
817#389—111no—
818#389—111no—
819#389—111no—
820#389—111no—
821#389—111no—
822#389—111no—
823#389—111no—
824#389C2×D1111yescharacteristic
825#389C2×D1111yescharacteristic
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388C2×D1111yescharacteristic
839#388C2×D1111yescharacteristic
840#387—111no—
841#387—111no—
842#387—111no—
843#387—111no—
844#387—111no—
845#387—111no—
846#387—111no—
847#387—111no—
848#386—111no—
849#386—111no—
850#386—111no—
851#386—111no—
852#386—111no—
853#386—111no—
854#386—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#385—111no—
859#385—111no—
860#385—111no—
861#385—111no—
862#385—111no—
863#385—111no—
864#385—111no—
865#385—111no—
866#384—111no—
867#381—111no—
868#380—111no—
869#380—111no—
870#380—111no—
871#380—111no—
872#380—111no—
873#380—111no—
874C4×C4⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4C2×D1111yescharacteristic
877#376—111no—
878C22×C11—22no—
879C22×C11—22no—
880C22×C11—22no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11—41no—
884C22×C11—41no—
885C22×C11—41no—
886C22×C11—41no—
887C22×C11—41no—
888C22×C11—41no—
889C22×C11—41no—
890C22×C11—41no—
891C22×C11—41no—
892C22×C11C23×D411yescharacteristic
893C22×C11C2×H(5,𝔽2)11yescharacteristic
894C22×C11C2×2−1+411yescharacteristic
895C22×C11C2×2−1+411yescharacteristic
896C22×C11#58511yescharacteristic
897C22×C11#58511yescharacteristic
898C22×C11#58511yescharacteristic
899C2×D11—22no—
900C2×D11—22no—
901C2×D11—22no—
902C2×D11—41no—
903C2×D11—41no—
904C2×D11—41no—
905C2×D11—41no—
906C2×D11—41no—
907C2×D11—41no—
908C2×D11—41no—
909C2×D11—41no—
910C2×D11—41no—
911C2×D11—41no—
912C2×D11—41no—
913C4×C11—22no—
914C4×C11—22no—
915C4×C11—41no—
916C4×C11—41no—
917C4×C11—41no—
918C4×C11—41no—
919C4×C11—41no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926Dic11—22no—
927Dic11—22no—
928Dic11—22no—
929Dic11—22no—
930Dic11—22no—
931Dic11—22no—
932Dic11—41no—
933Dic11—41no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937Dic11—41no—
938Dic11—41no—
939Dic11—41no—
940C22×Q8—111no—
941C22×Q8—111no—
942C22×Q8—111no—
943C22×Q8C22×D1111yescharacteristic
944C22×D4—111no—
945C22×D4—111no—
946C22×D4—111no—
947C22×D4—111no—
948C22×D4—111no—
949C22×D4C22×D1111yescharacteristic
950C23×C4—111no—
951C23×C4—111no—
952C23×C4—111no—
953C23×C4—111no—
954C23×C4—111no—
955C23×C4—111no—
956C23×C4—111no—
957C23×C4C22×D1111yescharacteristic
958C4⋊Q8—224no—
959C4⋊Q8—442no—
960#126—224no—
961#126—224no—
962#126—224no—
963#126—224no—
964#125—224no—
965#125—224no—
966#124—224no—
967#124—224no—
968#124—224no—
969#123—24no—
970#123—224no—
971#123—224no—
972#123—224no—
973#123—224no—
974#123—224no—
975#123—442no—
976C22⋊Q8—24no—
977C22⋊Q8—224no—
978C22⋊Q8—224no—
979C22⋊Q8—224no—
980C22⋊Q8—224no—
981C22⋊Q8—224no—
982C22⋊Q8—442no—
983#121—224no—
984#121—224no—
985#121—442no—
986C4×Q8—224no—
987C4×D4—118no—
988C4×D4—224no—
989#117—224no—
990#117—442no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—224no—
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C4⋊C4C22×D1111yescharacteristic
1035C2×C4⋊C4C22×D1111yescharacteristic
1036C2×C4⋊C4C22×D1111yescharacteristic
1037C2×C4⋊C4C22×D1111yescharacteristic
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4C22×D1111yescharacteristic
1068C2×C22⋊C4C22×D1111yescharacteristic
1069C2×C22⋊C4C22×D1111yescharacteristic
1070C2×C22⋊C4C22×D1111yescharacteristic
1071C2×C22⋊C4C22×D1111yescharacteristic
1072C2×C22⋊C4C22×D1111yescharacteristic
1073C2×C22⋊C4C22×D1111yescharacteristic
1074C2×C22⋊C4C22×D1111yescharacteristic
1075C2×C22⋊C4C22×D1111yescharacteristic
1076C2×C22⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4C22×D1111yescharacteristic
1078C2×C42—111no—
1079C2×C42—111no—
1080C2×C42—111no—
1081C2×C42—111no—
1082C2×C42—111no—
1083C2×C42—111no—
1084C2×C42—111no—
1085C2×C42—111no—
1086C2×C42—111no—
1087C2×C42—442no—
1088C2×C42C22×D1111yescharacteristic
1089C2×C42C22×D1111yescharacteristic
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95C22×D1111yescharacteristic
1121#95C22×D1111yescharacteristic
1122#95C22×D1111yescharacteristic
1123#95C22×D1111yescharacteristic
1124#95C22×D1111yescharacteristic
1125#95C22×D1111yescharacteristic
1126#95C22×D1111yescharacteristic
1127#95C22×D1111yescharacteristic
1128#95C22×D1111yescharacteristic
1129#95C22×D1111yescharacteristic
1130C2×C11—42no—
1131C2×C11—81no—
1132C2×C11#344911yescharacteristic
1133C2×C11#349611yescharacteristic
1134C2×C11#349911yescharacteristic
1135C2×C11#353511yescharacteristic
1136C2×C11#354111yescharacteristic
1137C2×C11#355711yescharacteristic
1138C2×C11#356511yescharacteristic
1139D11—42no—
1140D11—81no—
1141C24—111no—
1142C24—111no—
1143C24C23×D1111yescharacteristic
1144C24C23×D1111yescharacteristic
1145C2×Q8—22no—
1146C2×Q8—41no—
1147C2×Q8—41no—
1148C2×Q8—222no—
1149C2×Q8—222no—
1150C2×Q8—222no—
1151C2×Q8—441no—
1152C2×Q8—441no—
1153C2×Q8—441no—
1154C2×Q8—441no—
1155C2×Q8—441no—
1156C2×Q8—441no—
1157C2×D4—22no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—114no—
1161C2×D4—222no—
1162C2×D4—222no—
1163C2×D4—222no—
1164C2×D4—222no—
1165C2×D4—441no—
1166C2×D4—441no—
1167C2×D4—441no—
1168C2×D4—441no—
1169C2×D4—441no—
1170C2×D4—441no—
1171C2×D4—441no—
1172C2×D4—441no—
1173C2×D4—441no—
1174C2×D4—441no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—111no—
1178C22×C4—111no—
1179C22×C4—111no—
1180C22×C4—111no—
1181C22×C4—111no—
1182C22×C4—111no—
1183C22×C4—114no—
1184C22×C4—111no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—111no—
1189C22×C4—111no—
1190C22×C4—111no—
1191C22×C4—111no—
1192C22×C4—222no—
1193C22×C4—222no—
1194C22×C4—222no—
1195C22×C4—222no—
1196C22×C4—222no—
1197C22×C4—222no—
1198C22×C4—222no—
1199C22×C4—441no—
1200C22×C4—441no—
1201C22×C4—441no—
1202C22×C4—441no—
1203C22×C4—441no—
1204C22×C4—441no—
1205C22×C4—441no—
1206C22×C4—441no—
1207C22×C4—441no—
1208C22×C4—441no—
1209C22×C4—441no—
1210C22×C4—441no—
1211C22×C4—441no—
1212C22×C4D4×D1114yes—
1213C22×C4C23×D1111yescharacteristic
1214C22×C4C23×D1111yescharacteristic
1215C22×C4C23×D1111yescharacteristic
1216C22×C4C23×D1111yescharacteristic
1217C22×C4C23×D1111yescharacteristic
1218C22×C4C23×D1111yescharacteristic
1219C22×C4C23×D1111yescharacteristic
1220C22×C4C23×D1111yescharacteristic
1221C22×C4C23×D1111yescharacteristic
1222C22×C4C23×D1111yescharacteristic
1223C22×C4C23×D1111yescharacteristic
1224C22×C4C23×D1111yescharacteristic
1225C22×C4C23×D1111yescharacteristic
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—114no—
1236C4⋊C4—222no—
1237C4⋊C4—222no—
1238C4⋊C4—222no—
1239C4⋊C4—222no—
1240C4⋊C4—222no—
1241C4⋊C4—222no—
1242C4⋊C4—222no—
1243C4⋊C4—222no—
1244C4⋊C4—222no—
1245C4⋊C4—222no—
1246C4⋊C4—222no—
1247C4⋊C4—222no—
1248C4⋊C4—222no—
1249C4⋊C4—222no—
1250C4⋊C4—222no—
1251C4⋊C4—222no—
1252C4⋊C4—222no—
1253C4⋊C4—222no—
1254C4⋊C4—222no—
1255C4⋊C4—222no—
1256C4⋊C4—222no—
1257C4⋊C4—222no—
1258C4⋊C4—222no—
1259C4⋊C4—441no—
1260C4⋊C4—441no—
1261C4⋊C4—441no—
1262C4⋊C4—441no—
1263C4⋊C4—441no—
1264C4⋊C4—441no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C4⋊C4—441no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—114no—
1284C22⋊C4—114no—
1285C22⋊C4—222no—
1286C22⋊C4—222no—
1287C22⋊C4—222no—
1288C22⋊C4—222no—
1289C22⋊C4—222no—
1290C22⋊C4—222no—
1291C22⋊C4—222no—
1292C22⋊C4—222no—
1293C22⋊C4—222no—
1294C22⋊C4—222no—
1295C22⋊C4—222no—
1296C22⋊C4—222no—
1297C22⋊C4—222no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—222no—
1304C22⋊C4—222no—
1305C22⋊C4—441no—
1306C22⋊C4—441no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C42—41no—
1313C42—41no—
1314C42—114no—
1315C42—222no—
1316C42—222no—
1317C42—222no—
1318C42—222no—
1319C42—222no—
1320C42—222no—
1321C42—441no—
1322C42—441no—
1323C11#3674311yescharacteristic, complemented, Sylow
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—112no—
1338C23—221no—
1339C23—221no—
1340C23—221no—
1341C23—221no—
1342C23—221no—
1343C23—221no—
1344C23—221no—
1345C23—221no—
1346C23—221no—
1347C23—221no—
1348C23—221no—
1349C23—221no—
1350C23—221no—
1351C23C2×D4×D1112yes—
1352C23C24×D1111yescharacteristic
1353Q8—82no—
1354Q8—444no—
1355Q8—882no—
1356Q8—882no—
1357D4—82no—
1358D4—444no—
1359D4—444no—
1360D4—882no—
1361D4—882no—
1362D4—882no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—44no—
1401C2×C4—112no—
1402C2×C4—112no—
1403C2×C4—112no—
1404C2×C4—112no—
1405C2×C4—112no—
1406C2×C4—112no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—444no—
1444C2×C4—444no—
1445C2×C4—444no—
1446C2×C4—444no—
1447C2×C4—444no—
1448C2×C4—882no—
1449C2×C4—882no—
1450C2×C4C2×D4×D1112yes—
1451C2×C4C2×D4×D1112yes—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—222no—
1467C22—222no—
1468C22—222no—
1469C22—441no—
1470C22—441no—
1471C22—441no—
1472C22—441no—
1473C22—441no—
1474C22—441no—
1475C22—441no—
1476C22—441no—
1477C22—441no—
1478C22—441no—
1479C22—441no—
1480C22C22×D4×D1111yescharacteristic
1481C22#1062345311yescharacteristic
1482C22#1062345311yescharacteristic
1483C22D11×H(5,𝔽2)11yescharacteristic
1484C22#1062345511yescharacteristic
1485C22D11×2−1+411yescharacteristic
1486C22D11×2−1+411yescharacteristic
1487C4—22no—
1488C4—22no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—222no—
1501C4—222no—
1502C4—222no—
1503C4—222no—
1504C4—222no—
1505C4—222no—
1506C4—441no—
1507C4—441no—
1508C4—441no—
1509C4—441no—
1510C4—441no—
1511C4—441no—
1512C4—441no—
1513C4—441no—
1514C2—42no—
1515C2—81no—
1516C2—442no—
1517C2—881no—
1518C2#1308194311yescharacteristic
1519C2#1308237711yescharacteristic
1520C2#1308239811yescharacteristic
1521C2#1308281811yescharacteristic
1522C2#1308290811yescharacteristic
1523C2#1308311411yescharacteristic
1524C2#1308326011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2663C2
prime radical#13074851C2
hypercenter#2663D11
hypocenterC11#36743
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2663

Complements

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

NH ≅ G/Ntype
1. C2×#10623171C2semidirect
2. C2×#10623191C2semidirect
3. #13076964C2semidirect
4. #13076945C2semidirect
5. #13075523C2semidirect
6. #13075489C2semidirect
7. #13075459C2semidirect
8. #13075450C2semidirect
9. #13075426C2semidirect
10. #13075390C2semidirect
11. #13075351C2semidirect
12. #13075333C2semidirect
13. #13075150C2semidirect
14. #13075105C2semidirect
15. #13075060C2semidirect
16. #13075021C2semidirect
17. #13074925C2semidirect
18. #13074890C2semidirect
19. #13074869C2semidirect
21. #13074764C2semidirect
22. #13074313C2semidirect
23. #13074252C2semidirect
24. #13074233C2semidirect
25. #13074220C2semidirect
26. #13074002C2semidirect
27. #13073994C2semidirect
28. #13072042C2semidirect
29. #13072020C2semidirect
30. #13071055C2semidirect
31. C11×#2663C2semidirect
247. C4×C22⋊D11D4semidirect
583. #2663D11semidirect
1323. C11#36743semidirect

Maximal subgroups

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

subgroupindex
C2×#106231712
C2×#106231912
#130769642
#130769452
#130755232
#130754892
#130754592
#130754502
#130754262
#130753902
#130753512
#130753332
#130751502
#130751052
#130750602
#130750212
#130749252
#130748902
#130748692
#130748512
#130747642
#130743132
#130742522
#130742332
#130742202
#130740022
#130739942
#130720422
#130720202
#130710552
C11×#26632
#3674311