Finite Group Databasebeta

← #14962595

Subgroups — #14962595

Order 2816.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076907C211yesmaximal, characteristic
2#13076900C211yesmaximal, characteristic, complemented
3#13076587C211yesmaximal, characteristic, complemented
4#13076452C211yesmaximal, characteristic, complemented
5#13076379C211yesmaximal, characteristic, complemented
6#13076347C211yesmaximal, characteristic, complemented
7#13076289C211yesmaximal, characteristic, complemented
8#13076282C211yesmaximal, characteristic, complemented
9#13076130C211yesmaximal, characteristic, complemented
10#13076050C211yesmaximal, characteristic, complemented
11#13075777C211yesmaximal, characteristic, complemented
12#13075547C211yesmaximal, characteristic, complemented
13#13075490C211yesmaximal, characteristic, complemented
14#13075473C211yesmaximal, characteristic, complemented
15#13075138C211yesmaximal, characteristic, complemented
16#13075062C211yesmaximal, characteristic, complemented
17#13074955C211yesmaximal, characteristic, complemented
18#13074585C211yesmaximal, characteristic, complemented
19#13074573C211yesmaximal, characteristic, complemented
20#13073053C211yesmaximal, characteristic, complemented
21#13072891C211yesmaximal, characteristic, complemented
22#13072865C211yesmaximal, characteristic, complemented
23#13072758C211yesmaximal, characteristic, complemented
24#13072422C211yesmaximal, characteristic, complemented
25#13072289C211yesmaximal, characteristic, complemented
26#13072077C211yesmaximal, characteristic
27#13071998C211yesmaximal, characteristic
28#13071283C211yesmaximal, characteristic, complemented
29#13071238C211yesmaximal, characteristic, complemented
30D11×#385C211yesmaximal, characteristic, complemented
31C11×#2732C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic, complemented
35C2×#66999C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66982C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×#66951C2211yescharacteristic
41C2×#66945C2211yescharacteristic
42C2×C4⋊C4×D11C2211yescharacteristic
43C2×C4⋊C4×D11C2211yescharacteristic
44C2×#66942C2211yescharacteristic, complemented
45C2×#66936C2211yescharacteristic
46C2×#66936C2211yescharacteristic
47C2×#66936C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×#66925C2211yescharacteristic
51C11×#399C2211yescharacteristic
52C11×#399C2211yescharacteristic, complemented
53C11×#398C2211yescharacteristic, complemented
54C11×#398C2211yescharacteristic, complemented
55C11×#396C2211yescharacteristic
56C11×#396C2211yescharacteristic, complemented
57C11×#391C2211yescharacteristic, complemented
58C11×#390C2211yescharacteristic
59C11×#389C2211yescharacteristic, complemented
60C11×#386C2211yescharacteristic
61C11×#386C2211yescharacteristic
62C11×#385C2211yescharacteristic
63C11×#385C2211yescharacteristic, complemented
64#10622842C2211yescharacteristic, complemented
65#10622842C2211yescharacteristic, complemented
66#10622835C2211yescharacteristic
67#10622835C2211yescharacteristic
68#10622833C2211yescharacteristic
69#10622825C2211yescharacteristic
70#10622823C2211yescharacteristic
71#10622823C2211yescharacteristic
72#10622823C2211yescharacteristic, complemented
73#10622823C2211yescharacteristic, complemented
74#10622607C2211yescharacteristic
75#10622606C2211yescharacteristic
76#10622605C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622602C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622600C2211yescharacteristic
92#10622600C2211yescharacteristic
93#10622600C2211yescharacteristic
94#10622598C2211yescharacteristic, complemented
95#10622598C2211yescharacteristic, complemented
96#10622597C2211yescharacteristic, complemented
97#10622597C2211yescharacteristic, complemented
98#10622596C2211yescharacteristic, complemented
99#10622596C2211yescharacteristic, complemented
100#10622596C2211yescharacteristic, complemented
101#10622595C2211yescharacteristic, complemented
102#10622595C2211yescharacteristic, complemented
103#10622595C2211yescharacteristic, complemented
104#10622595C2211yescharacteristic, complemented
105#10622595C2211yescharacteristic, complemented
106#10622594C2211yescharacteristic, complemented
107#10622594C2211yescharacteristic, complemented
108#10622594C2211yescharacteristic, complemented
109#10622594C2211yescharacteristic, complemented
110#10622593C2211yescharacteristic, complemented
111#10622591C2211yescharacteristic, complemented
112#10622589C2211yescharacteristic, complemented
113#10622589C2211yescharacteristic, complemented
114#10622586C2211yescharacteristic, complemented
115#10622586C2211yescharacteristic, complemented
116#10622585C2211yescharacteristic, complemented
117#10622574C2211yescharacteristic
118#10622572C2211yescharacteristic
119#10622570C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622569C2211yescharacteristic
123#10622569C2211yescharacteristic
124#10622568C2211yescharacteristic
125#10622568C2211yescharacteristic
126#10622568C2211yescharacteristic
127#10622566C2211yescharacteristic
128#10622566C2211yescharacteristic
129#10622566C2211yescharacteristic, complemented
130#10622565C2211yescharacteristic, complemented
131#10622565C2211yescharacteristic, complemented
132#10622565C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622564C2211yescharacteristic, complemented
135#10622564C2211yescharacteristic, complemented
136#10622563C2211yescharacteristic
137#10622563C2211yescharacteristic
138#10622562C2211yescharacteristic
139#10622562C2211yescharacteristic, complemented
140#10622561C2211yescharacteristic
141#10622561C2211yescharacteristic, complemented
142#10622559C2211yescharacteristic
143#10622559C2211yescharacteristic
144#10622559C2211yescharacteristic
145#10622558C2211yescharacteristic
146#10622558C2211yescharacteristic
147#10622558C2211yescharacteristic
148#10622558C2211yescharacteristic
149#10622558C2211yescharacteristic
150#10622557C2211yescharacteristic
151#10622557C2211yescharacteristic, complemented
152#10622553C2211yescharacteristic
153#10622546C2211yescharacteristic, complemented
154#10622541C2211yescharacteristic, complemented
155#10622288C2211yescharacteristic
156#10622288C2211yescharacteristic
157#10622287C2211yescharacteristic
158#10622282C2211yescharacteristic
159#10622281C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic
162#10622281C2211yescharacteristic
163#10622281C2211yescharacteristic
164#10622280C2211yescharacteristic
165#10622279C2211yescharacteristic
166#10622277C2211yescharacteristic
167#10622277C2211yescharacteristic
168#10622277C2211yescharacteristic
169D11×#95C2211yescharacteristic
170D11×#95C2211yescharacteristic
171C11⋊#401C2211yescharacteristic, complemented
172#10622274C2211yescharacteristic, complemented
173#10622273C2211yescharacteristic, complemented
174#10622273C2211yescharacteristic, complemented
175#10622271C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622271C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C22×C4×D11—42no—
196C22×C4×D11—42no—
197C22×C4×D11—42no—
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C11×C22⋊Q8—42no—
207C11×C22⋊Q8—42no—
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×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
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
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243#66999—42no—
244#66999—42no—
245#66990—42no—
246#66982—42no—
247C4×C22⋊D11—42no—
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×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304#66951—42no—
305#66945—24no—
306C4⋊C4×D11—42no—
307C4⋊C4×D11—42no—
308#66942—42no—
309#66936—24no—
310#66936—42no—
311#66936—42no—
312C22⋊C4×D11—24no—
313C22⋊C4×D11—42no—
314#66925—42no—
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#36792—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—22no—
370C23×D11—22no—
371C23×D11—41no—
372C23×D11—41no—
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C2×Q8×C11—22no—
376C2×Q8×C11—41no—
377C2×Q8×C11—41no—
378C2×D4×C11—22no—
379C2×D4×C11—41no—
380C2×D4×C11—41no—
381C22×C4×C11—22no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C2×C22⋊D11—22no—
401C2×C22⋊D11—22no—
402C2×C22⋊D11—22no—
403C2×C22⋊D11—22no—
404C2×C22⋊D11—41no—
405C2×C22⋊D11—41no—
406C22×Dic11—41no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
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—41no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—416no—
447C2×C4×D11#4114yes—
448C11×C4⋊C4—22no—
449C11×C4⋊C4—22no—
450C11×C4⋊C4—22no—
451C11×C4⋊C4—41no—
452C11×C4⋊C4—41no—
453C11×C4⋊C4—41no—
454C11×C4⋊C4—41no—
455C11×C4⋊C4—41no—
456C11×C4⋊C4—41no—
457C11×C4⋊C4—41no—
458C11×C4⋊C4—41no—
459C11×C4⋊C4—41no—
460C11×C22⋊C4—22no—
461C11×C22⋊C4—22no—
462C11×C22⋊C4—22no—
463C11×C22⋊C4—41no—
464C11×C22⋊C4—41no—
465C11×C22⋊C4—41no—
466C11×C22⋊C4—41no—
467C11×C22⋊C4—41no—
468C11×C22⋊C4—41no—
469C11×C22⋊C4—41no—
470C42×C11—41no—
471C22⋊Dic11—22no—
472C22⋊Dic11—22no—
473C22⋊Dic11—22no—
474C22⋊Dic11—22no—
475C22⋊Dic11—22no—
476C22⋊Dic11—41no—
477C22⋊Dic11—41no—
478C22⋊Dic11—41no—
479C22⋊Dic11—41no—
480C22⋊Dic11—41no—
481C22⋊Dic11—41no—
482C22⋊Dic11—41no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—22no—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—41no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501C4⋊Dic11—22no—
502C4⋊Dic11—22no—
503C4⋊Dic11—41no—
504C4⋊Dic11—41no—
505C4⋊Dic11—41no—
506C4⋊Dic11—41no—
507C4⋊Dic11—41no—
508C4⋊Dic11—41no—
509C4⋊Dic11—41no—
510C4⋊Dic11—41no—
511Dic11⋊C4—22no—
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—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4—41no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533C4×Dic11—22no—
534C4×Dic11—22no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539#2849—111no—
540#2848—111no—
541#2807—111no—
542#2796—111no—
543#2790—111no—
544#2787—111no—
545#2782—111no—
546#2781—111no—
547#2771—111no—
548#2765—111no—
549#2744—111no—
550#2732D1111yescharacteristic, complemented
551#2724—111no—
552#2720—111no—
553#2718—111no—
554#2694—111no—
555#2689—111no—
556#2680—111no—
557#2646—111no—
558#2643—111no—
559#2498—111no—
560#2482—111no—
561#2480—111no—
562#2473—111no—
563#2449—111no—
564#2438—111no—
565#2418—111no—
566#2411—111no—
567#2322—111no—
568#2317—111no—
569C2×#385—111no—
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×C11—21no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C112−1+412yes—
584C23×C11C2511yescharacteristic
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—28no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—44no—
597C22×D11—44no—
598C22×D11—44no—
599C22×D11—44no—
600C22×D11—44no—
601C22×D11—44no—
602C22×D11C2×#4112yes—
603C22×D11H(5,𝔽2)12yes—
604C22×D11H(5,𝔽2)12yes—
605C22×D112−1+412yes—
606Q8×C11—82no—
607D4×C11—82no—
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×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—44no—
646C2×C4×C11—82no—
647C2×C4×C11C2×#4112yes—
648C2×C4×C11H(5,𝔽2)12yes—
649C22⋊D11—44no—
650C22⋊D11—82no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—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—44no—
693C2×Dic11C2×#4112yes—
694C4×D11—28no—
695C4×D11—44no—
696C4×D11—44no—
697C4×D11—44no—
698C4×D11—44no—
699C4×D11—44no—
700C4×D11—82no—
701C4×D11—82no—
702C24×C4—111no—
703C2×#126—111no—
704C2×#125—111no—
705C2×#123—111no—
706C2×#123—111no—
707C2×#123—111no—
708C2×#123—111no—
709C2×C22⋊Q8—111no—
710C2×C22⋊Q8—111no—
711C2×C22⋊Q8C2×D1111yescharacteristic
712C2×C22⋊Q8C2×D1111yescharacteristic, complemented
713C2×#120—111no—
714C2×C4×D4—111no—
715C2×#117—111no—
716C2×#117—111no—
717C22×C4⋊C4—111no—
718C22×C4⋊C4—111no—
719C22×C22⋊C4—111no—
720C22×C22⋊C4—111no—
721#401—111no—
722#400—111no—
723#400—111no—
724#400—111no—
725#400—111no—
726#400—111no—
727#400—111no—
728#400—111no—
729#400—111no—
730#400—111no—
731#400—111no—
732#399—111no—
733#399—111no—
734#399—111no—
735#399C2×D1111yescharacteristic
736#399C2×D1111yescharacteristic, complemented
737#398—111no—
738#398—111no—
739#398—111no—
740#398—111no—
741#398—111no—
742#398—111no—
743#398—111no—
744#398—111no—
745#398—111no—
746#398C2×D1111yescharacteristic, complemented
747#398C2×D1111yescharacteristic, complemented
748#397—111no—
749#397—111no—
750#397—111no—
751#397—111no—
752#397—111no—
753#397—111no—
754#397—111no—
755#397—111no—
756#397—111no—
757#397—111no—
758#396—111no—
759#396—111no—
760#396—111no—
761#396C2×D1111yescharacteristic
762#396C2×D1111yescharacteristic, complemented
763#395—111no—
764#395—111no—
765#394—111no—
766#394—111no—
767#394—111no—
768#394—111no—
769#391C2×D1111yescharacteristic, complemented
770#390—111no—
771#390C2×D1111yescharacteristic
772#389—111no—
773#389—111no—
774#389—111no—
775#389—111no—
776#389—111no—
777#389—111no—
778#389—111no—
779#389—111no—
780#389C2×D1111yescharacteristic, complemented
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#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—111no—
804#387—111no—
805#386—111no—
806#386—111no—
807#386—111no—
808#386—111no—
809#386—111no—
810#386C2×D1111yescharacteristic
811#386C2×D1111yescharacteristic
812#385—111no—
813#385—111no—
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#385—111no—
823#385—111no—
824#385—111no—
825#385—111no—
826#385—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385—111no—
831#385—111no—
832#385—111no—
833#385—111no—
834#385—111no—
835#385—111no—
836#385—111no—
837#385C2×D1111yescharacteristic
838#385C2×D1111yescharacteristic, complemented
839#384—111no—
840#384—111no—
841#382—111no—
842#382—111no—
843#381—111no—
844#381—111no—
845#381—111no—
846#380—111no—
847#380—111no—
848#380—111no—
849#380—111no—
850#380—111no—
851#379—111no—
852#379—111no—
853#379—111no—
854C4×C22⋊C4—111no—
855C2×#95—111no—
856C2×#95—111no—
857C22×C11—22no—
858C22×C11—22no—
859C22×C11—22no—
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×C11—41no—
871C22×C11C22×#4111yescharacteristic
872C22×C11C2×H(5,𝔽2)11yescharacteristic
873C22×C11C2×H(5,𝔽2)11yescharacteristic
874C22×C11C2×H(5,𝔽2)11yescharacteristic
875C22×C11C2×2−1+411yescharacteristic
876C22×C11C2×2−1+411yescharacteristic
877C22×C11#58511yescharacteristic
878C2×D11—22no—
879C2×D11—22no—
880C2×D11—22no—
881C2×D11—22no—
882C2×D11—22no—
883C2×D11—22no—
884C2×D11—22no—
885C2×D11—22no—
886C2×D11—22no—
887C2×D11—416no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11#53914yes—
893C4×C11—22no—
894C4×C11—22no—
895C4×C11—41no—
896C4×C11—41no—
897C4×C11—41no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906Dic11—22no—
907Dic11—41no—
908Dic11—41no—
909Dic11—41no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920C25—111no—
921C22×Q8C22×D1111yescharacteristic
922C22×D4—111no—
923C22×D4—111no—
924C22×D4C22×D1111yescharacteristic
925C23×C4—111no—
926C23×C4—111no—
927C23×C4—111no—
928C23×C4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—442no—
935C23×C4—442no—
936C23×C4—442no—
937C23×C4C22×D1111yescharacteristic
938C23×C4C22×D1111yescharacteristic
939#126—442no—
940#125—442no—
941#123—224no—
942#123—442no—
943#123—442no—
944#123—442no—
945C22⋊Q8—42no—
946C22⋊Q8—42no—
947C22⋊Q8—442no—
948C22⋊Q8—442no—
949#120—442no—
950C4×D4—442no—
951#117—224no—
952#117—442no—
953C2×C4⋊C4—111no—
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⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—442no—
986C2×C4⋊C4—442no—
987C2×C4⋊C4C22×D1111yescharacteristic
988C2×C4⋊C4C22×D1111yescharacteristic
989C2×C4⋊C4C22×D1111yescharacteristic
990C2×C4⋊C4C22×D1111yescharacteristic
991C2×C4⋊C4C22×D1111yescharacteristic
992C2×C4⋊C4C22×D1111yescharacteristic
993C2×C4⋊C4C22×D1111yescharacteristic
994C2×C4⋊C4C22×D1111yescharacteristic
995C2×C4⋊C4C22×D1111yescharacteristic
996C2×C4⋊C4C22×D1111yescharacteristic
997C2×C4⋊C4C22×D1111yescharacteristic
998C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—224no—
1030C2×C22⋊C4—442no—
1031C2×C22⋊C4C22×D1111yescharacteristic
1032C2×C22⋊C4C22×D1111yescharacteristic
1033C2×C22⋊C4C22×D1111yescharacteristic
1034C2×C22⋊C4C22×D1111yescharacteristic
1035C2×C22⋊C4C22×D1111yescharacteristic
1036C2×C22⋊C4C22×D1111yescharacteristic
1037C2×C22⋊C4C22×D1111yescharacteristic
1038C2×C22⋊C4C22×D1111yescharacteristic
1039C2×C22⋊C4C22×D1111yescharacteristic
1040C2×C22⋊C4C22×D1111yescharacteristic
1041C2×C42—111no—
1042C2×C42—111no—
1043C2×C42—111no—
1044C2×C42—111no—
1045C2×C42—111no—
1046C2×C42—111no—
1047C2×C42C22×D1111yescharacteristic
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#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#95—111no—
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095#95C22×D1111yescharacteristic
1096C2×C11—42no—
1097C2×C11—81no—
1098C2×C11C2×#53911yescharacteristic
1099C2×C11#349211yescharacteristic
1100C2×C11#350611yescharacteristic
1101C2×C11#353211yescharacteristic
1102C2×C11#353511yescharacteristic
1103C2×C11#353511yescharacteristic
1104C2×C11#353811yescharacteristic
1105D11—24no—
1106D11—42no—
1107C24—111no—
1108C24—111no—
1109C24—222no—
1110C24—222no—
1111C24—222no—
1112C24—222no—
1113C24—222no—
1114C24—441no—
1115C24—441no—
1116C24C23×D1111yescharacteristic
1117C24C23×D1111yescharacteristic
1118C2×Q8—22no—
1119C2×Q8—41no—
1120C2×Q8—41no—
1121C2×D4—22no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—222no—
1125C2×D4—222no—
1126C2×D4—222no—
1127C2×D4—222no—
1128C2×D4—441no—
1129C2×D4—441no—
1130C22×C4—22no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—111no—
1137C22×C4—114no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—111no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—222no—
1152C22×C4—222no—
1153C22×C4—222no—
1154C22×C4—222no—
1155C22×C4—222no—
1156C22×C4—222no—
1157C22×C4—222no—
1158C22×C4—222no—
1159C22×C4—222no—
1160C22×C4—222no—
1161C22×C4—222no—
1162C22×C4—441no—
1163C22×C4—441no—
1164C22×C4—441no—
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—4416no—
1175C22×C4—441no—
1176C22×C4—441no—
1177C22×C4—441no—
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
1190C22×C4C23×D1111yescharacteristic
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—222no—
1204C4⋊C4—222no—
1205C4⋊C4—222no—
1206C4⋊C4—222no—
1207C4⋊C4—222no—
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—
1219C4⋊C4—441no—
1220C4⋊C4—441no—
1221C4⋊C4—441no—
1222C4⋊C4—441no—
1223C4⋊C4—441no—
1224C4⋊C4—441no—
1225C4⋊C4—441no—
1226C4⋊C4—441no—
1227C4⋊C4—441no—
1228C4⋊C4—441no—
1229C4⋊C4—441no—
1230C4⋊C4—441no—
1231C4⋊C4—441no—
1232C4⋊C4—441no—
1233C4⋊C4—441no—
1234C4⋊C4—441no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—222no—
1246C22⋊C4—222no—
1247C22⋊C4—222no—
1248C22⋊C4—222no—
1249C22⋊C4—222no—
1250C22⋊C4—222no—
1251C22⋊C4—222no—
1252C22⋊C4—222no—
1253C22⋊C4—222no—
1254C22⋊C4—222no—
1255C22⋊C4—222no—
1256C22⋊C4—222no—
1257C22⋊C4—222no—
1258C22⋊C4—222no—
1259C22⋊C4—222no—
1260C22⋊C4—222no—
1261C22⋊C4—222no—
1262C22⋊C4—222no—
1263C22⋊C4—222no—
1264C22⋊C4—441no—
1265C22⋊C4—441no—
1266C22⋊C4—441no—
1267C22⋊C4—441no—
1268C22⋊C4—441no—
1269C22⋊C4—441no—
1270C22⋊C4—441no—
1271C22⋊C4—441no—
1272C22⋊C4—441no—
1273C22⋊C4—441no—
1274C22⋊C4—441no—
1275C42—41no—
1276C42—222no—
1277C42—222no—
1278C42—441no—
1279C42—441no—
1280C42—441no—
1281C42—441no—
1282C11#3679211yescharacteristic, complemented, Sylow
1283C23—21no—
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—112no—
1297C23—112no—
1298C23—112no—
1299C23—112no—
1300C23—228no—
1301C23—221no—
1302C23—221no—
1303C23—221no—
1304C23—221no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—444no—
1312C23—444no—
1313C23—444no—
1314C23—444no—
1315C23—444no—
1316C23—444no—
1317C23#6704012yes—
1318C23C24×D1111yescharacteristic
1319Q8—82no—
1320D4—82no—
1321D4—444no—
1322D4—882no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
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—44no—
1361C2×C4—82no—
1362C2×C4—112no—
1363C2×C4—228no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
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—444no—
1406C2×C4—444no—
1407C2×C4—444no—
1408C2×C4—444no—
1409C2×C4—444no—
1410C2×C4—444no—
1411C2×C4—882no—
1412C2×C4—882no—
1413C2×C4#6703712yes—
1414C2×C4#41×D1112yes—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—114no—
1430C22—222no—
1431C22—222no—
1432C22—222no—
1433C22—222no—
1434C22—222no—
1435C22—222no—
1436C22—222no—
1437C22—222no—
1438C22—222no—
1439C22—4416no—
1440C22—441no—
1441C22—441no—
1442C22—441no—
1443C22—441no—
1444C22C2×#6703711yescharacteristic
1445C22C2×#6704011yescharacteristic
1446C22C2×#41×D1111yescharacteristic
1447C22D11×H(5,𝔽2)11yescharacteristic
1448C22D11×H(5,𝔽2)11yescharacteristic
1449C22#1062345511yescharacteristic
1450C22D11×2−1+411yescharacteristic
1451C4—22no—
1452C4—22no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—222no—
1465C4—441no—
1466C4—441no—
1467C4—441no—
1468C4—441no—
1469C4—441no—
1470C4—441no—
1471C4—441no—
1472C4—441no—
1473C4—441no—
1474C4—441no—
1475C4—441no—
1476C4—441no—
1477C4—441no—
1478C2—42no—
1479C2—81no—
1480C2—224no—
1481C2—442no—
1482C2D11×#53911yescharacteristic
1483C2#1308232411yescharacteristic
1484C2#1308246011yescharacteristic
1485C2#1308276811yescharacteristic
1486C2#1308281611yescharacteristic
1487C2#1308283011yescharacteristic
1488C2#1308285711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2732C2
prime radicalC2×#66990C22
hypercenter#2732D11
hypocenterC11#36792
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2732

Complements

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

NH ≅ G/Ntype
2. #13076900C2semidirect
3. #13076587C2semidirect
4. #13076452C2semidirect
5. #13076379C2semidirect
6. #13076347C2semidirect
7. #13076289C2semidirect
8. #13076282C2semidirect
9. #13076130C2semidirect
10. #13076050C2semidirect
11. #13075777C2semidirect
12. #13075547C2semidirect
13. #13075490C2semidirect
14. #13075473C2semidirect
15. #13075138C2semidirect
16. #13075062C2semidirect
17. #13074955C2semidirect
18. #13074585C2semidirect
19. #13074573C2semidirect
20. #13073053C2semidirect
21. #13072891C2semidirect
22. #13072865C2semidirect
23. #13072758C2semidirect
24. #13072422C2semidirect
25. #13072289C2semidirect
28. #13071283C2semidirect
29. #13071238C2semidirect
30. D11×#385C2semidirect
31. C11×#2732C2semidirect
34. C2×C11×C22⋊Q8C22semidirect
44. C2×#66942C22semidirect
52. C11×#399C22semidirect
53. C11×#398C22semidirect
54. C11×#398C22semidirect
56. C11×#396C22semidirect
57. C11×#391C22semidirect
59. C11×#389C22semidirect
63. C11×#385C22semidirect
64. #10622842C22semidirect
65. #10622842C22semidirect
72. #10622823C22semidirect
73. #10622823C22semidirect
94. #10622598C22semidirect
95. #10622598C22semidirect
96. #10622597C22semidirect
97. #10622597C22semidirect
98. #10622596C22semidirect
99. #10622596C22semidirect
100. #10622596C22semidirect
101. #10622595C22semidirect
102. #10622595C22semidirect
103. #10622595C22semidirect
104. #10622595C22semidirect
105. #10622595C22semidirect
106. #10622594C22semidirect
107. #10622594C22semidirect
108. #10622594C22semidirect
109. #10622594C22semidirect
110. #10622593C22semidirect
111. #10622591C22semidirect
112. #10622589C22semidirect
113. #10622589C22semidirect
114. #10622586C22semidirect
115. #10622586C22semidirect
116. #10622585C22semidirect
129. #10622566C22semidirect
130. #10622565C22semidirect
131. #10622565C22semidirect
132. #10622565C22semidirect
133. #10622564C22semidirect
134. #10622564C22semidirect
135. #10622564C22semidirect
139. #10622562C22semidirect
141. #10622561C22semidirect
151. #10622557C22semidirect
153. #10622546C22semidirect
154. #10622541C22semidirect
171. C11⋊#401C22semidirect
172. #10622274C22semidirect
173. #10622273C22semidirect
174. #10622273C22semidirect
175. #10622271C22semidirect
176. #10622271C22semidirect
177. #10622271C22semidirect
178. #10622270C22semidirect
179. #10622270C22semidirect
180. #10622268C22semidirect
181. #10622268C22semidirect
182. #10622266C22semidirect
183. #10622263C22semidirect
184. #10622263C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
550. #2732D11semidirect
712. C2×C22⋊Q8C2×D11semidirect
736. #399C2×D11semidirect
746. #398C2×D11semidirect
747. #398C2×D11semidirect
762. #396C2×D11semidirect
769. #391C2×D11semidirect
780. #389C2×D11semidirect
838. #385C2×D11semidirect
1282. C11#36792semidirect

Maximal subgroups

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

subgroupindex
#130769072
#130769002
#130765872
#130764522
#130763792
#130763472
#130762892
#130762822
#130761302
#130760502
#130757772
#130755472
#130754902
#130754732
#130751382
#130750622
#130749552
#130745852
#130745732
#130730532
#130728912
#130728652
#130727582
#130724222
#130722892
#130720772
#130719982
#130712832
#130712382
D11×#3852
C11×#27322
#3679211