Finite Group Databasebeta

← #14962349

Subgroups — #14962349

Order 2816.

1736 conjugacy classes of subgroups.

The subgroup lattice has 1502 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076935C211yesmaximal, characteristic, complemented
2#13076919C211yesmaximal, characteristic, complemented
3#13076305C211yesmaximal, characteristic, complemented
4#13076252C211yesmaximal, characteristic, complemented
5#13076141C211yesmaximal, characteristic, complemented
6#13075948C211yesmaximal, characteristic, complemented
7#13075886C211yesmaximal, characteristic, complemented
8#13075767C211yesmaximal, characteristic, complemented
9#13075678C211yesmaximal, characteristic, complemented
10#13075658C211yesmaximal, characteristic, complemented
11#13075622C211yesmaximal, characteristic, complemented
12#13075233C211yesmaximal, characteristic, complemented
13#13075120C211yesmaximal, characteristic, complemented
14#13075033C211yesmaximal, characteristic, complemented
15#13074999C211yesmaximal, characteristic, complemented
16#13074992C211yesmaximal, characteristic, complemented
17#13074935C211yesmaximal, characteristic
18#13074642C211yesmaximal, characteristic, complemented
19#13074637C211yesmaximal, characteristic, complemented
20#13074233C211yesmaximal, characteristic, complemented
21#13074140C211yesmaximal, characteristic, complemented
22#13073713C211yesmaximal, characteristic, complemented
23#13073501C211yesmaximal, characteristic, complemented
24#13073471C211yesmaximal, characteristic, complemented
25#13073469C211yesmaximal, characteristic, complemented
26#13072303C211yesmaximal, characteristic, complemented
27#13071996C211yesmaximal, characteristic, complemented
28#13071409C211yesmaximal, characteristic, complemented
29#13071210C211yesmaximal, characteristic, complemented
30#13071052C211yesmaximal, characteristic, complemented
31C11×#2674C211yesmaximal, characteristic, complemented
32C2×C11×C4⋊Q8C2211yescharacteristic, complemented
33C2×C11×#124C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic, complemented
36C2×#67000C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66983C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic, complemented
40C2×#66947C2211yescharacteristic
41C2×#66945C2211yescharacteristic
42C2×#66936C2211yescharacteristic
43C2×#66936C2211yescharacteristic, complemented
44C2×#66935C2211yescharacteristic
45C2×(C22⋊D11)⋊C4C2211yescharacteristic
46C2×C22⋊C4×D11C2211yescharacteristic
47C11×#399C2211yescharacteristic
48C11×#397C2211yescharacteristic, complemented
49C11×#396C2211yescharacteristic
50C11×#395C2211yescharacteristic, complemented
51C11×#394C2211yescharacteristic
52C11×#393C2211yescharacteristic
53C11×#389C2211yescharacteristic, complemented
54C11×#388C2211yescharacteristic
55C11×#388C2211yescharacteristic, complemented
56C11×#387C2211yescharacteristic, complemented
57C11×#385C2211yescharacteristic, complemented
58#10622844C2211yescharacteristic
59#10622844C2211yescharacteristic
60#10622844C2211yescharacteristic
61#10622844C2211yescharacteristic, complemented
62#10622843C2211yescharacteristic, complemented
63#10622843C2211yescharacteristic, complemented
64#10622843C2211yescharacteristic, complemented
65#10622836C2211yescharacteristic
66#10622833C2211yescharacteristic
67#10622833C2211yescharacteristic
68#10622826C2211yescharacteristic
69#10622824C2211yescharacteristic, complemented
70#10622607C2211yescharacteristic
71#10622607C2211yescharacteristic
72#10622607C2211yescharacteristic
73#10622607C2211yescharacteristic
74#10622607C2211yescharacteristic
75#10622607C2211yescharacteristic, complemented
76#10622606C2211yescharacteristic
77#10622606C2211yescharacteristic, complemented
78#10622604C2211yescharacteristic
79#10622604C2211yescharacteristic
80#10622603C2211yescharacteristic
81#10622603C2211yescharacteristic
82#10622603C2211yescharacteristic
83#10622603C2211yescharacteristic
84#10622603C2211yescharacteristic
85#10622603C2211yescharacteristic, complemented
86#10622603C2211yescharacteristic, complemented
87#10622603C2211yescharacteristic, complemented
88#10622602C2211yescharacteristic
89#10622601C2211yescharacteristic
90#10622601C2211yescharacteristic
91#10622600C2211yescharacteristic
92#10622600C2211yescharacteristic
93#10622598C2211yescharacteristic, complemented
94#10622597C2211yescharacteristic, complemented
95#10622596C2211yescharacteristic, complemented
96#10622595C2211yescharacteristic, complemented
97#10622594C2211yescharacteristic, complemented
98#10622591C2211yescharacteristic, complemented
99#10622591C2211yescharacteristic, complemented
100#10622591C2211yescharacteristic, complemented
101#10622591C2211yescharacteristic, complemented
102#10622591C2211yescharacteristic, complemented
103#10622591C2211yescharacteristic, complemented
104#10622590C2211yescharacteristic, complemented
105#10622590C2211yescharacteristic, complemented
106C4⋊C4×Dic11C2211yescharacteristic, complemented
107#10622585C2211yescharacteristic, complemented
108#10622574C2211yescharacteristic
109#10622574C2211yescharacteristic
110#10622574C2211yescharacteristic
111#10622573C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622572C2211yescharacteristic
114#10622572C2211yescharacteristic
115#10622571C2211yescharacteristic
116#10622571C2211yescharacteristic
117#10622571C2211yescharacteristic
118#10622571C2211yescharacteristic, complemented
119#10622571C2211yescharacteristic, complemented
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic, complemented
123#10622569C2211yescharacteristic
124#10622568C2211yescharacteristic
125#10622568C2211yescharacteristic
126#10622568C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622566C2211yescharacteristic
129#10622565C2211yescharacteristic
130#10622565C2211yescharacteristic
131#10622565C2211yescharacteristic, complemented
132#10622564C2211yescharacteristic
133#10622564C2211yescharacteristic
134#10622564C2211yescharacteristic
135#10622564C2211yescharacteristic, complemented
136#10622563C2211yescharacteristic, complemented
137#10622561C2211yescharacteristic
138#10622559C2211yescharacteristic, complemented
139#10622559C2211yescharacteristic, complemented
140#10622558C2211yescharacteristic
141#10622557C2211yescharacteristic
142#10622557C2211yescharacteristic
143#10622557C2211yescharacteristic
144#10622557C2211yescharacteristic
145#10622557C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic, complemented
147#10622553C2211yescharacteristic
148#10622553C2211yescharacteristic
149#10622553C2211yescharacteristic
150#10622553C2211yescharacteristic, complemented
151C4×(C2×D11)⋊C4C2211yescharacteristic
152C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
153#10622546C2211yescharacteristic, complemented
154#10622541C2211yescharacteristic, complemented
155#10622288C2211yescharacteristic
156#10622288C2211yescharacteristic
157#10622288C2211yescharacteristic
158#10622287C2211yescharacteristic
159#10622287C2211yescharacteristic, complemented
160#10622285C2211yescharacteristic
161#10622283C2211yescharacteristic
162#10622283C2211yescharacteristic
163#10622282C2211yescharacteristic
164#10622282C2211yescharacteristic
165#10622282C2211yescharacteristic
166#10622282C2211yescharacteristic, complemented
167#10622281C2211yescharacteristic, complemented
168#10622280C2211yescharacteristic
169#10622280C2211yescharacteristic, complemented
170#10622279C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622277C2211yescharacteristic
175#10622273C2211yescharacteristic, complemented
176#10622273C2211yescharacteristic, complemented
177#10622272C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622264C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622261C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
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
198C22×D44C2311yescharacteristic
199C22×D44C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C11×C4⋊Q8—42no—
204C11×#124—42no—
205C11×#123—42no—
206C11×C22⋊Q8—42no—
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×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C22⋊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×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239#67000—42no—
240#66990—42no—
241#66983—42no—
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×(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×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11—42no—
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
304#66947—24no—
305#66945—42no—
306#66936—42no—
307#66936—42no—
308#66935—42no—
309(C22⋊D11)⋊C4—24no—
310C22⋊C4×D11—24no—
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#36784—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C23×D11—22no—
361C23×D11—41no—
362C23×D11—41no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11—41no—
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C23×D11C2411yescharacteristic
370C2×Q8×C11—22no—
371C2×Q8×C11—41no—
372C2×Q8×C11—41no—
373C2×Q8×C11—41no—
374C2×Q8×C11—41no—
375C2×Q8×C11—41no—
376C2×D4×C11—22no—
377C2×D4×C11—41no—
378C2×D4×C11—41no—
379C22×C4×C11—22no—
380C22×C4×C11—22no—
381C22×C4×C11—41no—
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
395C2×C22⋊D11—22no—
396C2×C22⋊D11—22no—
397C2×C22⋊D11—22no—
398C2×C22⋊D11—22no—
399C2×C22⋊D11—41no—
400C2×C22⋊D11—41no—
401C2×C22⋊D11—41no—
402C2×C22⋊D11—41no—
403C2×C22⋊D11—41no—
404C2×C22⋊D11—41no—
405C2×C22⋊D11—41no—
406C2×C22⋊D11—41no—
407C22×Dic11—22no—
408C22×Dic11—41no—
409C22×Dic11—41no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C2×D44—22no—
427C2×D44—22no—
428C2×D44—41no—
429C2×D44—41no—
430C2×D44—41no—
431C2×D44—41no—
432C2×C4×D11—22no—
433C2×C4×D11—41no—
434C2×C4×D11—41no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×C4×D11—41no—
439C2×C4×D11—41no—
440C2×C4×D11#4114yes—
441C11×C4⋊C4—22no—
442C11×C4⋊C4—22no—
443C11×C4⋊C4—22no—
444C11×C4⋊C4—41no—
445C11×C4⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C4⋊C4—41no—
450C11×C4⋊C4—41no—
451C11×C22⋊C4—22no—
452C11×C22⋊C4—22no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—22no—
455C11×C22⋊C4—22no—
456C11×C22⋊C4—22no—
457C11×C22⋊C4—41no—
458C11×C22⋊C4—41no—
459C11×C22⋊C4—41no—
460C11×C22⋊C4—41no—
461C11×C22⋊C4—41no—
462C42×C11—41no—
463C42×C11—41no—
464C22⋊Dic11—22no—
465C22⋊Dic11—22no—
466C22⋊Dic11—41no—
467C22⋊Dic11—41no—
468C22⋊Dic11—41no—
469C22⋊Dic11—41no—
470C22⋊Dic11—41no—
471C22⋊Dic11—41no—
472C22⋊Dic11—41no—
473(C2×D11)⋊C4—22no—
474(C2×D11)⋊C4—22no—
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—22no—
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—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4—41no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496(C2×D11)⋊C4—41no—
497(C2×D11)⋊C4—41no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505C4⋊Dic11—41no—
506C4⋊Dic11—41no—
507C4⋊Dic11—41no—
508C4⋊Dic11—41no—
509C4⋊Dic11—41no—
510C4⋊Dic11—41no—
511C4⋊Dic11—41no—
512Dic11⋊C4—22no—
513Dic11⋊C4—22no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524C4×Dic11—22no—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—41no—
528C4×Dic11—41no—
529C4×Dic11—41no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534#2853—111no—
535#2850—111no—
536#2783—111no—
537#2779—111no—
538#2772—111no—
539#2757—111no—
540#2753—111no—
541#2744—111no—
542#2737—111no—
543#2735—111no—
544#2731—111no—
545#2701—111no—
546#2693—111no—
547#2687—111no—
548#2684—111no—
549#2684—111no—
550#2678—111no—
551#2674D1111yescharacteristic, complemented
552#2651—111no—
553#2650—111no—
554#2602—111no—
555#2595—111no—
556#2557—111no—
557#2534—111no—
558#2532—111no—
559#2531—111no—
560#2439—111no—
561#2411—111no—
562#2335—111no—
563#2312—111no—
564#2290—111no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11H(5,𝔽2)12yes—
579C23×C11C2511yescharacteristic
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—44no—
601C22×D11—82no—
602C22×D11—82no—
603C22×D11—82no—
604C22×D11—82no—
605C22×D11—82no—
606C22×D11—82no—
607C22×D11C2×#4112yes—
608Q8×C11—82no—
609Q8×C11—82no—
610D4×C11—82no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—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—44no—
649C2×C4×C11C2×#4112yes—
650C2×C4×C11H(5,𝔽2)12yes—
651C22⋊D11—44no—
652C22⋊D11—82no—
653C22⋊D11—82no—
654C22⋊D11—82no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—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—44no—
694C2×Dic11—44no—
695C2×Dic11C2×#4112yes—
696D44—82no—
697D44—82no—
698C4×D11—44no—
699C4×D11—82no—
700C4×D11—82no—
701C2×C4⋊Q8C2×D1111yescharacteristic, complemented
702C2×#124—111no—
703C2×#124C2×D1111yescharacteristic
704C2×#123—111no—
705C2×#123—111no—
706C2×#123—111no—
707C2×#123C2×D1111yescharacteristic
708C2×C22⋊Q8C2×D1111yescharacteristic, complemented
709C2×#121—111no—
710C2×#120—111no—
711C2×#120—111no—
712C2×C4×D4—111no—
713C2×#117—111no—
714C22×C22⋊C4—111no—
715C22×C42—111no—
716#400—111no—
717#400—111no—
718#400—111no—
719#400—111no—
720#400—111no—
721#399C2×D1111yescharacteristic
722#398—111no—
723#398—111no—
724#398—111no—
725#398—111no—
726#397—111no—
727#397—111no—
728#397—111no—
729#397—111no—
730#397—111no—
731#397—111no—
732#397—111no—
733#397—111no—
734#397—111no—
735#397—111no—
736#397—111no—
737#397C2×D1111yescharacteristic, complemented
738#396—111no—
739#396—111no—
740#396—111no—
741#396—111no—
742#396—111no—
743#396—111no—
744#396—111no—
745#396C2×D1111yescharacteristic
746#395C2×D1111yescharacteristic, complemented
747#394—111no—
748#394—111no—
749#394—111no—
750#394—111no—
751#394—111no—
752#394—111no—
753#394—111no—
754#394—111no—
755#394—111no—
756#394C2×D1111yescharacteristic
757#393—111no—
758#393—111no—
759#393—111no—
760#393—111no—
761#393C2×D1111yescharacteristic
762#392—111no—
763#392—111no—
764#391—111no—
765#391—111no—
766#391—111no—
767#390—111no—
768#390—111no—
769#390—111no—
770#390—111no—
771#390—111no—
772#389—111no—
773#389—111no—
774#389—111no—
775#389C2×D1111yescharacteristic, complemented
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—111no—
793#388—111no—
794#388—111no—
795#388—111no—
796#388—111no—
797#388—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388C2×D1111yescharacteristic
805#388C2×D1111yescharacteristic, complemented
806#387—111no—
807#387—111no—
808#387—111no—
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387C2×D1111yescharacteristic, complemented
818#386—111no—
819#386—111no—
820#386—111no—
821#386—111no—
822#386—111no—
823#386—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#385—111no—
831#385—111no—
832#385—111no—
833#385—111no—
834#385—111no—
835#385C2×D1111yescharacteristic, complemented
836#383—111no—
837#382—111no—
838#382—111no—
839#381—111no—
840#381—111no—
841#380—111no—
842#380—111no—
843#380—111no—
844#380—111no—
845#379—111no—
846#379—111no—
847#379—111no—
848#379—111no—
849C4×C4⋊C4—111no—
850C4×C4⋊C4—111no—
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
853C4×C22⋊C4—111no—
854C4×C22⋊C4—111no—
855#376—111no—
856C22×C11—22no—
857C22×C11—22no—
858C22×C11—22no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11—41no—
867C22×C11—41no—
868C22×C11—41no—
869C22×C11—41no—
870C22×C11C22×#4111yescharacteristic
871C22×C11C2×H(5,𝔽2)11yescharacteristic
872C22×C11C2×H(5,𝔽2)11yescharacteristic
873C22×C11#58511yescharacteristic
874C22×C11#58511yescharacteristic
875C22×C11#58511yescharacteristic
876C22×C11#58511yescharacteristic
877C2×D11—22no—
878C2×D11—22no—
879C2×D11—22no—
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C2×D11—41no—
884C2×D11—41no—
885C2×D11—41no—
886C2×D11—41no—
887C2×D11—41no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11—41no—
893C2×D11—41no—
894C2×D11—41no—
895C2×D11—41no—
896C2×D11—41no—
897C2×D11—41no—
898C2×D11—88no—
899C4×C11—22no—
900C4×C11—22no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11—41no—
909C4×C11—41no—
910C4×C11—41no—
911C4×C11—41no—
912Dic11—22no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921Dic11—41no—
922Dic11—41no—
923Dic11—41no—
924Dic11—41no—
925C25—111no—
926C22×Q8C22×D1111yescharacteristic
927C22×Q8C22×D1111yescharacteristic
928C22×D4—111no—
929C22×D4—111no—
930C22×D4—111no—
931C22×D4—111no—
932C22×D4—111no—
933C22×D4—111no—
934C22×D4C22×D1111yescharacteristic
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4—111no—
940C23×C4C22×D1111yescharacteristic
941C4⋊Q8—42no—
942#124—42no—
943#124—442no—
944#123—42no—
945#123—224no—
946#123—442no—
947#123—442no—
948C22⋊Q8—42no—
949#121—442no—
950#120—442no—
951#120—442no—
952C4×D4—224no—
953#117—442no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4C22×D1111yescharacteristic
974C2×C4⋊C4C22×D1111yescharacteristic
975C2×C4⋊C4C22×D1111yescharacteristic
976C2×C4⋊C4C22×D1111yescharacteristic
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
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×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—224no—
1025C2×C22⋊C4C22×D1111yescharacteristic
1026C2×C22⋊C4C22×D1111yescharacteristic
1027C2×C22⋊C4C22×D1111yescharacteristic
1028C2×C22⋊C4C22×D1111yescharacteristic
1029C2×C22⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4C22×D1111yescharacteristic
1031C2×C22⋊C4C22×D1111yescharacteristic
1032C2×C22⋊C4C22×D1111yescharacteristic
1033C2×C22⋊C4C22×D1111yescharacteristic
1034C2×C22⋊C4C22×D1111yescharacteristic
1035C2×C22⋊C4C22×D1111yescharacteristic
1036C2×C42—111no—
1037C2×C42—111no—
1038C2×C42—111no—
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—111no—
1043C2×C42—111no—
1044C2×C42—111no—
1045C2×C42—111no—
1046C2×C42—442no—
1047C2×C42C22×D1111yescharacteristic
1048C2×C42C22×D1111yescharacteristic
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095C2×C11—42no—
1096C2×C11—81no—
1097C2×C11#345511yescharacteristic
1098C2×C11#349411yescharacteristic
1099C2×C11#350511yescharacteristic
1100C2×C11#353411yescharacteristic
1101C2×C11#354011yescharacteristic
1102C2×C11#354511yescharacteristic
1103C2×C11#356611yescharacteristic
1104D11—42no—
1105D11—81no—
1106D11—81no—
1107C24—111no—
1108C24—111no—
1109C24—111no—
1110C24—222no—
1111C24—441no—
1112C24—441no—
1113C24—441no—
1114C24—441no—
1115C24—441no—
1116C24—441no—
1117C24C23×D1111yescharacteristic
1118C24C23×D1111yescharacteristic
1119C2×Q8—22no—
1120C2×Q8—41no—
1121C2×Q8—41no—
1122C2×Q8—41no—
1123C2×Q8—41no—
1124C2×Q8—41no—
1125C2×D4—22no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—222no—
1129C2×D4—222no—
1130C2×D4—222no—
1131C2×D4—222no—
1132C2×D4—222no—
1133C2×D4—222no—
1134C2×D4—441no—
1135C2×D4—441no—
1136C2×D4—441no—
1137C2×D4—441no—
1138C2×D4—441no—
1139C2×D4—441no—
1140C2×D4—441no—
1141C2×D4—441no—
1142C2×D4—441no—
1143C2×D4—441no—
1144C2×D4—441no—
1145C2×D4—441no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—41no—
1149C22×C4—111no—
1150C22×C4—114no—
1151C22×C4—111no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—111no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—111no—
1159C22×C4—111no—
1160C22×C4—111no—
1161C22×C4—111no—
1162C22×C4—111no—
1163C22×C4—222no—
1164C22×C4—222no—
1165C22×C4—441no—
1166C22×C4—441no—
1167C22×C4—441no—
1168C22×C4—441no—
1169C22×C4—441no—
1170C22×C4—441no—
1171C22×C4—441no—
1172C22×C4—441no—
1173C22×C4—441no—
1174C22×C4—441no—
1175C22×C4—441no—
1176C22×C4—441no—
1177C22×C4C23×D1111yescharacteristic
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C22×C4C23×D1111yescharacteristic
1183C22×C4C23×D1111yescharacteristic
1184C22×C4C23×D1111yescharacteristic
1185C22×C4C23×D1111yescharacteristic
1186C22×C4C23×D1111yescharacteristic
1187C22×C4C23×D1111yescharacteristic
1188C22×C4C23×D1111yescharacteristic
1189C22×C4C23×D1111yescharacteristic
1190C4⋊C4—22no—
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—222no—
1201C4⋊C4—222no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C4⋊C4—441no—
1214C4⋊C4—441no—
1215C4⋊C4—441no—
1216C4⋊C4—441no—
1217C4⋊C4—441no—
1218C4⋊C4—441no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—222no—
1231C22⋊C4—222no—
1232C22⋊C4—222no—
1233C22⋊C4—222no—
1234C22⋊C4—222no—
1235C22⋊C4—222no—
1236C22⋊C4—222no—
1237C22⋊C4—222no—
1238C22⋊C4—222no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C22⋊C4—441no—
1242C22⋊C4—441no—
1243C22⋊C4—441no—
1244C22⋊C4—441no—
1245C22⋊C4—441no—
1246C22⋊C4—441no—
1247C22⋊C4—441no—
1248C22⋊C4—441no—
1249C22⋊C4—441no—
1250C22⋊C4—441no—
1251C22⋊C4—441no—
1252C22⋊C4—441no—
1253C22⋊C4—441no—
1254C22⋊C4—441no—
1255C22⋊C4—441no—
1256C22⋊C4—441no—
1257C22⋊C4—441no—
1258C22⋊C4—441no—
1259C22⋊C4—441no—
1260C22⋊C4—441no—
1261C22⋊C4—441no—
1262C22⋊C4—441no—
1263C22⋊C4—441no—
1264C22⋊C4—441no—
1265C22⋊C4—441no—
1266C22⋊C4—441no—
1267C22⋊C4—441no—
1268C22⋊C4—441no—
1269C22⋊C4—441no—
1270C22⋊C4—441no—
1271C42—41no—
1272C42—41no—
1273C42—222no—
1274C42—222no—
1275C42—222no—
1276C42—441no—
1277C42—441no—
1278C42—441no—
1279C42—441no—
1280C42—441no—
1281C42—441no—
1282C42—441no—
1283C11#3678411yescharacteristic, complemented, Sylow
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—112no—
1298C23—221no—
1299C23—221no—
1300C23—221no—
1301C23—221no—
1302C23—221no—
1303C23—221no—
1304C23—221no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—221no—
1312C23—221no—
1313C23—221no—
1314C23—221no—
1315C23—221no—
1316C23—221no—
1317C23—221no—
1318C23—444no—
1319C23—882no—
1320C23—882no—
1321C23—882no—
1322C23—882no—
1323C23—882no—
1324C23—882no—
1325C23#6703712yes—
1326C23C24×D1111yescharacteristic
1327Q8—82no—
1328Q8—82no—
1329D4—82no—
1330D4—444no—
1331D4—882no—
1332D4—882no—
1333D4—882no—
1334D4—882no—
1335D4—882no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
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—44no—
1374C2×C4—112no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—444no—
1414C2×C4—444no—
1415C2×C4—444no—
1416C2×C4—882no—
1417C2×C4—882no—
1418C2×C4#6703712yes—
1419C2×C4#41×D1112yes—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—222no—
1435C22—222no—
1436C22—222no—
1437C22—441no—
1438C22—441no—
1439C22—441no—
1440C22—441no—
1441C22—441no—
1442C22—441no—
1443C22—441no—
1444C22—441no—
1445C22—441no—
1446C22—441no—
1447C22—441no—
1448C22—441no—
1449C22—441no—
1450C22—441no—
1451C22—441no—
1452C22—441no—
1453C22—441no—
1454C22—441no—
1455C22—888no—
1456C22C2×#6703711yescharacteristic
1457C22C2×#6703711yescharacteristic
1458C22C2×#41×D1111yescharacteristic
1459C22#1062345511yescharacteristic
1460C22#1062345711yescharacteristic
1461C22#1062345711yescharacteristic
1462C22#1062345711yescharacteristic
1463C4—22no—
1464C4—22no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—222no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C4—441no—
1482C4—441no—
1483C4—441no—
1484C4—441no—
1485C4—441no—
1486C4—441no—
1487C4—441no—
1488C4—441no—
1489C2—42no—
1490C2—81no—
1491C2—442no—
1492C2—881no—
1493C2—881no—
1494C2#1308200311yescharacteristic
1495C2#1308234011yescharacteristic
1496C2#1308245211yescharacteristic
1497C2#1308279411yescharacteristic
1498C2#1308289311yescharacteristic
1499C2#1308297011yescharacteristic
1500C2#1308329711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2674C2
prime radical#13074935C2
hypercenter#2674D11
hypocenterC11#36784
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2674

Complements

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

NH ≅ G/Ntype
1. #13076935C2semidirect
2. #13076919C2semidirect
3. #13076305C2semidirect
4. #13076252C2semidirect
5. #13076141C2semidirect
6. #13075948C2semidirect
7. #13075886C2semidirect
8. #13075767C2semidirect
9. #13075678C2semidirect
10. #13075658C2semidirect
11. #13075622C2semidirect
12. #13075233C2semidirect
13. #13075120C2semidirect
14. #13075033C2semidirect
15. #13074999C2semidirect
16. #13074992C2semidirect
18. #13074642C2semidirect
19. #13074637C2semidirect
20. #13074233C2semidirect
21. #13074140C2semidirect
22. #13073713C2semidirect
23. #13073501C2semidirect
24. #13073471C2semidirect
25. #13073469C2semidirect
26. #13072303C2semidirect
27. #13071996C2semidirect
28. #13071409C2semidirect
29. #13071210C2semidirect
30. #13071052C2semidirect
31. C11×#2674C2semidirect
32. C2×C11×C4⋊Q8C22semidirect
35. C2×C11×C22⋊Q8C22semidirect
39. C22×C4×Dic11C22semidirect
43. C2×#66936C22semidirect
48. C11×#397C22semidirect
50. C11×#395C22semidirect
53. C11×#389C22semidirect
55. C11×#388C22semidirect
56. C11×#387C22semidirect
57. C11×#385C22semidirect
61. #10622844C22semidirect
62. #10622843C22semidirect
63. #10622843C22semidirect
64. #10622843C22semidirect
69. #10622824C22semidirect
75. #10622607C22semidirect
77. #10622606C22semidirect
85. #10622603C22semidirect
86. #10622603C22semidirect
87. #10622603C22semidirect
93. #10622598C22semidirect
94. #10622597C22semidirect
95. #10622596C22semidirect
96. #10622595C22semidirect
97. #10622594C22semidirect
98. #10622591C22semidirect
99. #10622591C22semidirect
100. #10622591C22semidirect
101. #10622591C22semidirect
102. #10622591C22semidirect
103. #10622591C22semidirect
104. #10622590C22semidirect
105. #10622590C22semidirect
106. C4⋊C4×Dic11C22semidirect
107. #10622585C22semidirect
118. #10622571C22semidirect
119. #10622571C22semidirect
122. #10622570C22semidirect
131. #10622565C22semidirect
135. #10622564C22semidirect
136. #10622563C22semidirect
138. #10622559C22semidirect
139. #10622559C22semidirect
146. C22⋊C4×Dic11C22semidirect
150. #10622553C22semidirect
152. C4×(C2×D11)⋊C4C22semidirect
153. #10622546C22semidirect
154. #10622541C22semidirect
159. #10622287C22semidirect
166. #10622282C22semidirect
167. #10622281C22semidirect
169. #10622280C22semidirect
175. #10622273C22semidirect
176. #10622273C22semidirect
177. #10622272C22semidirect
178. #10622271C22semidirect
179. #10622270C22semidirect
180. #10622270C22semidirect
181. #10622268C22semidirect
182. #10622266C22semidirect
183. #10622265C22semidirect
184. #10622264C22semidirect
185. #10622262C22semidirect
186. #10622261C22semidirect
551. #2674D11semidirect
701. C2×C4⋊Q8C2×D11semidirect
708. C2×C22⋊Q8C2×D11semidirect
737. #397C2×D11semidirect
746. #395C2×D11semidirect
775. #389C2×D11semidirect
805. #388C2×D11semidirect
817. #387C2×D11semidirect
835. #385C2×D11semidirect
1283. C11#36784semidirect

Maximal subgroups

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

subgroupindex
#130769352
#130769192
#130763052
#130762522
#130761412
#130759482
#130758862
#130757672
#130756782
#130756582
#130756222
#130752332
#130751202
#130750332
#130749992
#130749922
#130749352
#130746422
#130746372
#130742332
#130741402
#130737132
#130735012
#130734712
#130734692
#130723032
#130719962
#130714092
#130712102
#130710522
C11×#26742
#3678411