Finite Group Databasebeta

← #14960252

Subgroups — #14960252

Order 2816.

1686 conjugacy classes of subgroups.

The subgroup lattice has 1442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076874C211yesmaximal, characteristic, complemented
2#13076837C211yesmaximal, characteristic, complemented
3#13076820C211yesmaximal, characteristic, complemented
4#13076811C211yesmaximal, characteristic, complemented
5#13076785C211yesmaximal, characteristic, complemented
6#13076779C211yesmaximal, characteristic, complemented
7#13076757C211yesmaximal, characteristic, complemented
8#13076746C211yesmaximal, characteristic, complemented
9#13076727C211yesmaximal, characteristic, complemented
10#13076723C211yesmaximal, characteristic, complemented
11#13076713C211yesmaximal, characteristic, complemented
12#13076697C211yesmaximal, characteristic, complemented
13#13076649C211yesmaximal, characteristic, complemented
14#13076636C211yesmaximal, characteristic, complemented
15#13076621C211yesmaximal, characteristic
16#13071922C211yesmaximal, characteristic, complemented
17#13071905C211yesmaximal, characteristic, complemented
18#13071905C211yesmaximal, characteristic, complemented
19#13071893C211yesmaximal, characteristic, complemented
20#13071889C211yesmaximal, characteristic, complemented
21#13071889C211yesmaximal, characteristic, complemented
22#13071882C211yesmaximal, characteristic, complemented
23#13071882C211yesmaximal, characteristic, complemented
24#13071880C211yesmaximal, characteristic, complemented
25#13071857C211yesmaximal, characteristic, complemented
26#13071857C211yesmaximal, characteristic, complemented
27#13071857C211yesmaximal, characteristic, complemented
28#13071150C211yesmaximal, characteristic, complemented
29#13071137C211yesmaximal, characteristic, complemented
30#13071124C211yesmaximal, characteristic, complemented
31C11×#2839C211yesmaximal, characteristic, complemented
32C2×#66949C2211yescharacteristic
33C2×#66948C2211yescharacteristic
34C2×#66947C2211yescharacteristic
35C2×#66946C2211yescharacteristic
36C2×#66946C2211yescharacteristic
37C2×#66946C2211yescharacteristic
38C2×#66946C2211yescharacteristic
39C2×#66946C2211yescharacteristic
40C2×#66946C2211yescharacteristic
41C2×#66945C2211yescharacteristic
42C2×#66945C2211yescharacteristic
43C2×#66945C2211yescharacteristic
44C2×#66940C2211yescharacteristic
45C2×#66940C2211yescharacteristic
46C2×C42×D11C2211yescharacteristic
47C11×#400C2211yescharacteristic
48C11×#400C2211yescharacteristic
49C11×#400C2211yescharacteristic
50C11×#400C2211yescharacteristic
51C11×#400C2211yescharacteristic
52C11×#400C2211yescharacteristic
53C11×#400C2211yescharacteristic
54C11×#398C2211yescharacteristic
55C11×#398C2211yescharacteristic
56C11×#398C2211yescharacteristic
57C11×#398C2211yescharacteristic
58C11×#398C2211yescharacteristic
59C11×#389C2211yescharacteristic
60C11×#387C2211yescharacteristic
61C11×#387C2211yescharacteristic
62#10622607C2211yescharacteristic
63#10622607C2211yescharacteristic
64#10622607C2211yescharacteristic
65#10622607C2211yescharacteristic
66#10622607C2211yescharacteristic
67#10622607C2211yescharacteristic
68#10622607C2211yescharacteristic
69#10622607C2211yescharacteristic
70#10622606C2211yescharacteristic
71#10622606C2211yescharacteristic
72#10622606C2211yescharacteristic
73#10622606C2211yescharacteristic
74#10622605C2211yescharacteristic
75#10622605C2211yescharacteristic
76#10622605C2211yescharacteristic
77#10622605C2211yescharacteristic
78#10622605C2211yescharacteristic
79#10622604C2211yescharacteristic
80#10622604C2211yescharacteristic
81#10622604C2211yescharacteristic
82#10622604C2211yescharacteristic
83#10622604C2211yescharacteristic
84#10622604C2211yescharacteristic
85#10622604C2211yescharacteristic
86#10622603C2211yescharacteristic
87#10622603C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622600C2211yescharacteristic
90#10622599C2211yescharacteristic
91#10622597C2211yescharacteristic
92#10622597C2211yescharacteristic
93#10622596C2211yescharacteristic
94#10622596C2211yescharacteristic
95#10622595C2211yescharacteristic
96#10622595C2211yescharacteristic
97#10622593C2211yescharacteristic
98#10622592C2211yescharacteristic
99#10622592C2211yescharacteristic
100#10622591C2211yescharacteristic
101C4⋊C4×Dic11C2211yescharacteristic
102C4⋊C4×Dic11C2211yescharacteristic
103C4⋊C4×Dic11C2211yescharacteristic
104#10622553C2211yescharacteristic
105#10622552C2211yescharacteristic
106#10622546C2211yescharacteristic
107#10622290C2211yescharacteristic
108#10622289C2211yescharacteristic
109#10622289C2211yescharacteristic
110#10622289C2211yescharacteristic
111#10622289C2211yescharacteristic
112#10622288C2211yescharacteristic
113#10622288C2211yescharacteristic
114#10622288C2211yescharacteristic
115#10622288C2211yescharacteristic
116#10622288C2211yescharacteristic
117#10622288C2211yescharacteristic
118#10622288C2211yescharacteristic
119#10622288C2211yescharacteristic
120#10622287C2211yescharacteristic
121#10622287C2211yescharacteristic
122#10622287C2211yescharacteristic
123#10622287C2211yescharacteristic
124#10622286C2211yescharacteristic
125#10622286C2211yescharacteristic
126#10622286C2211yescharacteristic
127#10622286C2211yescharacteristic
128#10622286C2211yescharacteristic
129#10622286C2211yescharacteristic
130#10622286C2211yescharacteristic
131#10622285C2211yescharacteristic
132#10622285C2211yescharacteristic
133#10622285C2211yescharacteristic
134#10622285C2211yescharacteristic
135#10622285C2211yescharacteristic
136#10622285C2211yescharacteristic
137#10622285C2211yescharacteristic
138#10622285C2211yescharacteristic
139#10622285C2211yescharacteristic
140#10622285C2211yescharacteristic
141#10622285C2211yescharacteristic
142#10622285C2211yescharacteristic
143#10622284C2211yescharacteristic
144#10622284C2211yescharacteristic
145#10622284C2211yescharacteristic
146#10622283C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622280C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622277C2211yescharacteristic
166#10622273C2211yescharacteristic
167#10622273C2211yescharacteristic
168#10622271C2211yescharacteristic
169#10622271C2211yescharacteristic
170#10622270C2211yescharacteristic
171#10622270C2211yescharacteristic
172#10622270C2211yescharacteristic
173#10622270C2211yescharacteristic
174#10622270C2211yescharacteristic
175#10622270C2211yescharacteristic
176#10622269C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622261C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×D44C2311yescharacteristic
188C22×D44C2311yescharacteristic
189C22×D44C2311yescharacteristic
190C22×D44C2311yescharacteristic
191C22×D44C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×Dic22C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×(C2×D11)⋊C4C2311yescharacteristic
217C2×(C2×D11)⋊C4C2311yescharacteristic
218C2×(C2×D11)⋊C4C2311yescharacteristic
219C2×(C2×D11)⋊C4C2311yescharacteristic
220C2×(C2×D11)⋊C4C2311yescharacteristic
221C2×(C2×D11)⋊C4C2311yescharacteristic
222C2×(C2×D11)⋊C4C2311yescharacteristic
223C2×(C2×D11)⋊C4C2311yescharacteristic
224C2×(C2×D11)⋊C4C2311yescharacteristic
225C2×(C2×D11)⋊C4C2311yescharacteristic
226C2×(C2×D11)⋊C4C2311yescharacteristic
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
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
294#66949—24no—
295#66948—24no—
296#66947—24no—
297#66946—42no—
298#66946—42no—
299#66946—42no—
300#66946—42no—
301#66946—42no—
302#66946—42no—
303#66945—42no—
304#66945—42no—
305#66945—42no—
306#66940—42no—
307#66940—42no—
308C42×D11—42no—
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
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
357#36678—111nomaximal, Sylow
358C23×D11C2411yescharacteristic
359C23×D11C2411yescharacteristic
360C23×D11C2411yescharacteristic
361C23×D11C2411yescharacteristic
362C22×C4×C11C2411yescharacteristic
363C22×C4×C11C2411yescharacteristic
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×Dic11C2411yescharacteristic
378C22×Dic11C2411yescharacteristic
379C22×Dic11C2411yescharacteristic
380C22×Dic11C2411yescharacteristic
381C22×Dic11C2411yescharacteristic
382C22×Dic11C2411yescharacteristic
383C22×Dic11C2411yescharacteristic
384C22×Dic11C2411yescharacteristic
385C22×Dic11C2411yescharacteristic
386C22×Dic11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C2×D44—22no—
390C2×D44—22no—
391C2×D44—22no—
392C2×D44—22no—
393C2×D44—41no—
394C2×D44—41no—
395C2×D44—41no—
396C2×D44—41no—
397C2×D44—41no—
398C2×D44—41no—
399C2×D44—41no—
400C2×D44—41no—
401C2×D44—41no—
402C2×D44—41no—
403C2×D44—41no—
404C2×D44—41no—
405C2×D44—41no—
406C2×D44—41no—
407C2×C4×D11—22no—
408C2×C4×D11—22no—
409C2×C4×D11—22no—
410C2×C4×D11—22no—
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—41no—
420C2×C4×D11—41no—
421C2×C4×D11—41no—
422C2×C4×D11—41no—
423C2×C4×D11—41no—
424C2×C4×D11#4114yes—
425C2×Dic22—22no—
426C2×Dic22—41no—
427C2×Dic22—41no—
428C2×Dic22—41no—
429C2×Dic22—41no—
430C2×Dic22—41no—
431C11×C4⋊C4—22no—
432C11×C4⋊C4—22no—
433C11×C4⋊C4—22no—
434C11×C4⋊C4—41no—
435C11×C4⋊C4—41no—
436C11×C4⋊C4—41no—
437C11×C4⋊C4—41no—
438C11×C4⋊C4—41no—
439C11×C4⋊C4—41no—
440C11×C4⋊C4—41no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C42×C11—41no—
446(C2×D11)⋊C4—22no—
447(C2×D11)⋊C4—22no—
448(C2×D11)⋊C4—22no—
449(C2×D11)⋊C4—22no—
450(C2×D11)⋊C4—22no—
451(C2×D11)⋊C4—22no—
452(C2×D11)⋊C4—22no—
453(C2×D11)⋊C4—41no—
454(C2×D11)⋊C4—41no—
455(C2×D11)⋊C4—41no—
456(C2×D11)⋊C4—41no—
457(C2×D11)⋊C4—41no—
458(C2×D11)⋊C4—41no—
459(C2×D11)⋊C4—41no—
460(C2×D11)⋊C4—41no—
461(C2×D11)⋊C4—41no—
462(C2×D11)⋊C4—41no—
463(C2×D11)⋊C4—41no—
464(C2×D11)⋊C4—41no—
465(C2×D11)⋊C4—41no—
466(C2×D11)⋊C4—41no—
467(C2×D11)⋊C4—41no—
468(C2×D11)⋊C4—41no—
469(C2×D11)⋊C4—41no—
470(C2×D11)⋊C4—41no—
471(C2×D11)⋊C4—41no—
472(C2×D11)⋊C4—41no—
473(C2×D11)⋊C4—41no—
474(C2×D11)⋊C4—41no—
475(C2×D11)⋊C4—41no—
476(C2×D11)⋊C4—41no—
477(C2×D11)⋊C4—41no—
478(C2×D11)⋊C4—41no—
479(C2×D11)⋊C4—41no—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4—41no—
483(C2×D11)⋊C4—41no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4—41no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488C4⋊Dic11—41no—
489C4⋊Dic11—41no—
490C4⋊Dic11—41no—
491C4⋊Dic11—41no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494Dic11⋊C4—22no—
495Dic11⋊C4—22no—
496Dic11⋊C4—22no—
497Dic11⋊C4—41no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512C4×Dic11—22no—
513C4×Dic11—22no—
514C4×Dic11—22no—
515C4×Dic11—22no—
516C4×Dic11—22no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—22no—
520C4×Dic11—22no—
521C4×Dic11—22no—
522C4×Dic11—22no—
523C4×Dic11—41no—
524#2841—111no—
525#2839D1111yescharacteristic, complemented
526#2837—111no—
527#2836—111no—
528#2836—111no—
529#2832—111no—
530#2831—111no—
531#2830—111no—
532#2829—111no—
533#2827—111no—
534#2827—111no—
535#2826—111no—
536#2824—111no—
537#2816—111no—
538#2814—111no—
539#2813—111no—
540#2402—111no—
541#2398—111no—
542#2398—111no—
543#2396—111no—
544#2396—111no—
545#2396—111no—
546#2395—111no—
547#2395—111no—
548#2395—111no—
549#2392—111no—
550#2392—111no—
551#2392—111no—
552C4×C22⋊Q8—111no—
553C4×#123—111no—
554C4×#121—111no—
555C23×C11C2511yescharacteristic
556C22×D11—21no—
557C22×D11—21no—
558C22×D11—21no—
559C22×D11—21no—
560C22×D11—21no—
561C22×D11—21no—
562C22×D11—21no—
563C22×D11—21no—
564C22×D11—21no—
565C22×D11—21no—
566C22×D11—21no—
567C22×D11—21no—
568C22×D11—21no—
569C22×D11—21no—
570C22×D11—21no—
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11C2×#4112yes—
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—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11C2×#4112yes—
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×Dic11C2×#4112yes—
662C2×Dic11H(5,𝔽2)12yes—
663C2×Dic11H(5,𝔽2)12yes—
664C2×Dic112−1+412yes—
665D44—44no—
666D44—44no—
667D44—44no—
668D44—44no—
669D44—44no—
670D44—44no—
671C4×D11—44no—
672C4×D11—44no—
673C4×D11—44no—
674C4×D11—44no—
675C4×D11—44no—
676C4×D11—44no—
677Dic22—44no—
678Dic22—44no—
679C2×#123—111no—
680C2×C22⋊Q8—111no—
681C2×#121—111no—
682C2×C4×Q8—111no—
683C2×C4×Q8—111no—
684C2×C4×D4—111no—
685C2×C4×D4—111no—
686C2×C4×D4—111no—
687C2×C4×D4—111no—
688C2×C4×D4—111no—
689C2×C4×D4—111no—
690C2×#117—111no—
691C2×#117—111no—
692C2×#117—111no—
693C22×C42—111no—
694#400—111no—
695#400—111no—
696#400—111no—
697#400—111no—
698#400—111no—
699#400—111no—
700#400—111no—
701#400C2×D1111yescharacteristic
702#400C2×D1111yescharacteristic
703#400C2×D1111yescharacteristic
704#400C2×D1111yescharacteristic
705#400C2×D1111yescharacteristic
706#400C2×D1111yescharacteristic
707#400C2×D1111yescharacteristic
708#399—111no—
709#399—111no—
710#399—111no—
711#399—111no—
712#399—111no—
713#399—111no—
714#398—111no—
715#398—111no—
716#398—111no—
717#398—111no—
718#398—111no—
719#398—111no—
720#398—111no—
721#398—111no—
722#398—111no—
723#398—111no—
724#398—111no—
725#398C2×D1111yescharacteristic
726#398C2×D1111yescharacteristic
727#398C2×D1111yescharacteristic
728#398C2×D1111yescharacteristic
729#398C2×D1111yescharacteristic
730#397—111no—
731#397—111no—
732#397—111no—
733#397—111no—
734#397—111no—
735#397—111no—
736#397—111no—
737#397—111no—
738#397—111no—
739#397—111no—
740#397—111no—
741#397—111no—
742#397—111no—
743#397—111no—
744#397—111no—
745#397—111no—
746#396—111no—
747#396—111no—
748#396—111no—
749#396—111no—
750#396—111no—
751#396—111no—
752#396—111no—
753#396—111no—
754#396—111no—
755#396—111no—
756#396—111no—
757#396—111no—
758#395—111no—
759#395—111no—
760#395—111no—
761#394—111no—
762#394—111no—
763#394—111no—
764#394—111no—
765#394—111no—
766#394—111no—
767#394—111no—
768#394—111no—
769#394—111no—
770#394—111no—
771#394—111no—
772#394—111no—
773#394—111no—
774#394—111no—
775#394—111no—
776#394—111no—
777#394—111no—
778#394—111no—
779#394—111no—
780#393—111no—
781#393—111no—
782#393—111no—
783#393—111no—
784#393—111no—
785#393—111no—
786#393—111no—
787#392—111no—
788#392—111no—
789#392—111no—
790#391—111no—
791#390—111no—
792#389—111no—
793#389C2×D1111yescharacteristic
794#388—111no—
795#388—111no—
796#388—111no—
797#388—111no—
798#387—111no—
799#387—111no—
800#387C2×D1111yescharacteristic
801#387C2×D1111yescharacteristic
802#386—111no—
803#386—111no—
804#386—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#381—111no—
809#380—111no—
810#380—111no—
811C4×C4⋊C4—111no—
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4—111no—
815C4×C4⋊C4—111no—
816C4×C4⋊C4—111no—
817C4×C4⋊C4—111no—
818C4×C4⋊C4—111no—
819C4×C4⋊C4—111no—
820C4×C4⋊C4—111no—
821C4×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⋊C4—111no—
829C4×C22⋊C4—111no—
830C4×C22⋊C4—111no—
831C4×C22⋊C4—111no—
832C4×C22⋊C4—111no—
833#376—111no—
834C22×C11C22×#4111yescharacteristic
835C22×C11C2×H(5,𝔽2)11yescharacteristic
836C22×C11C2×H(5,𝔽2)11yescharacteristic
837C22×C11C2×2−1+411yescharacteristic
838C22×C11#58511yescharacteristic
839C22×C11#58511yescharacteristic
840C22×C11#58511yescharacteristic
841C2×D11—22no—
842C2×D11—22no—
843C2×D11—22no—
844C2×D11—41no—
845C2×D11—41no—
846C2×D11—41no—
847C2×D11—41no—
848C2×D11—41no—
849C2×D11—41no—
850C2×D11—41no—
851C2×D11—41no—
852C2×D11—41no—
853C2×D11—41no—
854C2×D11—41no—
855C2×D11—41no—
856C2×D11—41no—
857C2×D11—41no—
858C2×D11—41no—
859C2×D11—41no—
860C2×D11—41no—
861C2×D11—41no—
862C2×D11—41no—
863C2×D11—41no—
864C2×D11—41no—
865C2×D11—41no—
866C2×D11—41no—
867C2×D11—41no—
868C2×D11—41no—
869C4×C11—22no—
870C4×C11—41no—
871C4×C11—41no—
872C4×C11—41no—
873C4×C11—41no—
874C4×C11—41no—
875C4×C11—41no—
876C4×C11—41no—
877C4×C11—41no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884Dic11—22no—
885Dic11—41no—
886Dic11—41no—
887Dic11—41no—
888Dic11—41no—
889Dic11—41no—
890Dic11—41no—
891Dic11—41no—
892Dic11—41no—
893Dic11—41no—
894Dic11—41no—
895Dic11#56214yes—
896C22×Q8—111no—
897C22×Q8—111no—
898C22×D4—111no—
899C22×D4—111no—
900C22×D4—111no—
901C22×D4—111no—
902C22×D4—111no—
903C22×D4—111no—
904C23×C4—111no—
905C23×C4—111no—
906C23×C4—111no—
907C23×C4—111no—
908C23×C4—111no—
909C23×C4—111no—
910#123—224no—
911C22⋊Q8—224no—
912#121—224no—
913C4×Q8—442no—
914C4×Q8—442no—
915C4×D4—442no—
916C4×D4—442no—
917C4×D4—442no—
918C4×D4—442no—
919C4×D4—442no—
920C4×D4—442no—
921#117—442no—
922#117—442no—
923#117—442no—
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—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
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×C4⋊C4C22×D1111yescharacteristic
957C2×C4⋊C4C22×D1111yescharacteristic
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
961C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—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×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—442no—
1017C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1047#95C22×D1111yescharacteristic
1048#95C22×D1111yescharacteristic
1049#95C22×D1111yescharacteristic
1050#95C22×D1111yescharacteristic
1051#95C22×D1111yescharacteristic
1052#95C22×D1111yescharacteristic
1053#95C22×D1111yescharacteristic
1054#95C22×D1111yescharacteristic
1055#95C22×D1111yescharacteristic
1056#95C22×D1111yescharacteristic
1057#95C22×D1111yescharacteristic
1058#95C22×D1111yescharacteristic
1059#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066C2×C11#345911yescharacteristic
1067C2×C11#346011yescharacteristic
1068C2×C11#346111yescharacteristic
1069C2×C11C2×#56211yescharacteristic
1070C2×C11#352911yescharacteristic
1071C2×C11#352911yescharacteristic
1072C2×C11#353111yescharacteristic
1073D11—42no—
1074D11—81no—
1075D11—81no—
1076D11—81no—
1077C24—111no—
1078C24—111no—
1079C24—111no—
1080C24—111no—
1081C2×Q8—222no—
1082C2×Q8—441no—
1083C2×Q8—441no—
1084C2×Q8—441no—
1085C2×Q8—441no—
1086C2×Q8—441no—
1087C2×D4—222no—
1088C2×D4—222no—
1089C2×D4—222no—
1090C2×D4—222no—
1091C2×D4—441no—
1092C2×D4—441no—
1093C2×D4—441no—
1094C2×D4—441no—
1095C2×D4—441no—
1096C2×D4—441no—
1097C2×D4—441no—
1098C2×D4—441no—
1099C2×D4—441no—
1100C2×D4—441no—
1101C2×D4—441no—
1102C2×D4—441no—
1103C2×D4—441no—
1104C2×D4—441no—
1105C22×C4—111no—
1106C22×C4—111no—
1107C22×C4—114no—
1108C22×C4—111no—
1109C22×C4—111no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—222no—
1119C22×C4—222no—
1120C22×C4—222no—
1121C22×C4—222no—
1122C22×C4—222no—
1123C22×C4—222no—
1124C22×C4—222no—
1125C22×C4—222no—
1126C22×C4—222no—
1127C22×C4—222no—
1128C22×C4—222no—
1129C22×C4—222no—
1130C22×C4—441no—
1131C22×C4—441no—
1132C22×C4—441no—
1133C22×C4—441no—
1134C22×C4—441no—
1135C22×C4C23×D1111yescharacteristic
1136C22×C4C23×D1111yescharacteristic
1137C22×C4C23×D1111yescharacteristic
1138C22×C4C23×D1111yescharacteristic
1139C22×C4C23×D1111yescharacteristic
1140C22×C4C23×D1111yescharacteristic
1141C22×C4C23×D1111yescharacteristic
1142C22×C4C23×D1111yescharacteristic
1143C22×C4C23×D1111yescharacteristic
1144C22×C4C23×D1111yescharacteristic
1145C22×C4C23×D1111yescharacteristic
1146C22×C4C23×D1111yescharacteristic
1147C22×C4C23×D1111yescharacteristic
1148C22×C4C23×D1111yescharacteristic
1149C22×C4C23×D1111yescharacteristic
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—222no—
1165C4⋊C4—222no—
1166C4⋊C4—222no—
1167C4⋊C4—441no—
1168C4⋊C4—441no—
1169C4⋊C4—441no—
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⋊C4—441no—
1187C4⋊C4—441no—
1188C22⋊C4—222no—
1189C22⋊C4—222no—
1190C22⋊C4—222no—
1191C22⋊C4—222no—
1192C22⋊C4—222no—
1193C22⋊C4—222no—
1194C22⋊C4—222no—
1195C22⋊C4—441no—
1196C22⋊C4—441no—
1197C22⋊C4—441no—
1198C22⋊C4—441no—
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⋊C4—441no—
1213C22⋊C4—441no—
1214C22⋊C4—441no—
1215C22⋊C4—441no—
1216C22⋊C4—441no—
1217C22⋊C4—441no—
1218C22⋊C4—441no—
1219C22⋊C4—441no—
1220C22⋊C4—441no—
1221C22⋊C4—441no—
1222C22⋊C4—441no—
1223C22⋊C4—441no—
1224C22⋊C4—441no—
1225C22⋊C4—441no—
1226C22⋊C4—441no—
1227C22⋊C4—441no—
1228C22⋊C4—441no—
1229C22⋊C4—441no—
1230C42—41no—
1231C42—222no—
1232C42—222no—
1233C42—222no—
1234C42—222no—
1235C42—222no—
1236C42—222no—
1237C42—222no—
1238C42—222no—
1239C42—222no—
1240C42—222no—
1241C42—222no—
1242C42—441no—
1243C11#3667811yescharacteristic, complemented, Sylow
1244C23—112no—
1245C23—221no—
1246C23—221no—
1247C23—221no—
1248C23—221no—
1249C23—221no—
1250C23—221no—
1251C23—221no—
1252C23—221no—
1253C23—221no—
1254C23—221no—
1255C23—221no—
1256C23—221no—
1257C23—221no—
1258C23—221no—
1259C23—221no—
1260C23—221no—
1261C23—221no—
1262C23—221no—
1263C23—221no—
1264C23—221no—
1265C23—221no—
1266C23—221no—
1267C23—221no—
1268C23—221no—
1269C23—221no—
1270C23—221no—
1271C23—221no—
1272C23C24×D1111yescharacteristic
1273Q8—444no—
1274Q8—444no—
1275D4—444no—
1276D4—444no—
1277D4—444no—
1278D4—444no—
1279D4—444no—
1280D4—444no—
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—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—112no—
1326C2×C4—112no—
1327C2×C4—112no—
1328C2×C4—112no—
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—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—444no—
1362C2×C4—444no—
1363C2×C4—444no—
1364C2×C4—444no—
1365C2×C4—444no—
1366C2×C4—444no—
1367C2×C4#41×D1112yes—
1368C22—222no—
1369C22—222no—
1370C22—222no—
1371C22—441no—
1372C22—441no—
1373C22—441no—
1374C22—441no—
1375C22—441no—
1376C22—441no—
1377C22—441no—
1378C22—441no—
1379C22—441no—
1380C22—441no—
1381C22—441no—
1382C22—441no—
1383C22—441no—
1384C22—441no—
1385C22—441no—
1386C22—441no—
1387C22—441no—
1388C22—441no—
1389C22—441no—
1390C22—441no—
1391C22—441no—
1392C22—441no—
1393C22—441no—
1394C22—441no—
1395C22—441no—
1396C22C2×#41×D1111yescharacteristic
1397C22D11×H(5,𝔽2)11yescharacteristic
1398C22D11×H(5,𝔽2)11yescharacteristic
1399C22D11×2−1+411yescharacteristic
1400C22#1062345711yescharacteristic
1401C22#1062345711yescharacteristic
1402C22#1062345711yescharacteristic
1403C4—22no—
1404C4—41no—
1405C4—41no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—114no—
1419C4—222no—
1420C4—441no—
1421C4—441no—
1422C4—441no—
1423C4—441no—
1424C4—441no—
1425C4—441no—
1426C4—441no—
1427C4—441no—
1428C4—441no—
1429C4—441no—
1430C2—442no—
1431C2—881no—
1432C2—881no—
1433C2—881no—
1434C2#1308202411yescharacteristic
1435C2#1308203611yescharacteristic
1436C2#1308204811yescharacteristic
1437C2D11×#56211yescharacteristic
1438C2#1308275711yescharacteristic
1439C2#1308275711yescharacteristic
1440C2#1308276411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2839C2
prime radical#13076621C2
hypercenter#2839D11
hypocenterC11#36678
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2839

Complements

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

NH ≅ G/Ntype
1. #13076874C2semidirect
2. #13076837C2semidirect
3. #13076820C2semidirect
4. #13076811C2semidirect
5. #13076785C2semidirect
6. #13076779C2semidirect
7. #13076757C2semidirect
8. #13076746C2semidirect
9. #13076727C2semidirect
10. #13076723C2semidirect
11. #13076713C2semidirect
12. #13076697C2semidirect
13. #13076649C2semidirect
14. #13076636C2semidirect
16. #13071922C2semidirect
17. #13071905C2semidirect
18. #13071905C2semidirect
19. #13071893C2semidirect
20. #13071889C2semidirect
21. #13071889C2semidirect
22. #13071882C2semidirect
23. #13071882C2semidirect
24. #13071880C2semidirect
25. #13071857C2semidirect
26. #13071857C2semidirect
27. #13071857C2semidirect
28. #13071150C2semidirect
29. #13071137C2semidirect
30. #13071124C2semidirect
31. C11×#2839C2semidirect
525. #2839D11semidirect
1243. C11#36678semidirect

Maximal subgroups

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

subgroupindex
#130768742
#130768372
#130768202
#130768112
#130767852
#130767792
#130767572
#130767462
#130767272
#130767232
#130767132
#130766972
#130766492
#130766362
#130766212
#130719222
#130719052
#130718932
#130718892
#130718822
#130718802
#130718572
#130711502
#130711372
#130711242
C11×#28392
#3667811