Finite Group Databasebeta

← #14962171

Subgroups — #14962171

Order 2816.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076909C211yesmaximal, characteristic
2#13076900C211yesmaximal, characteristic, complemented
3#13076392C211yesmaximal, characteristic, complemented
4#13076255C211yesmaximal, characteristic, complemented
5#13076120C211yesmaximal, characteristic, complemented
6#13076053C211yesmaximal, characteristic, complemented
7#13076041C211yesmaximal, characteristic, complemented
8#13076029C211yesmaximal, characteristic, complemented
9#13075959C211yesmaximal, characteristic, complemented
10#13075803C211yesmaximal, characteristic, complemented
11#13075701C211yesmaximal, characteristic, complemented
12#13075596C211yesmaximal, characteristic, complemented
13#13075460C211yesmaximal, characteristic, complemented
14#13075457C211yesmaximal, characteristic, complemented
15#13075119C211yesmaximal, characteristic, complemented
16#13075040C211yesmaximal, characteristic, complemented
17#13074893C211yesmaximal, characteristic, complemented
18#13074434C211yesmaximal, characteristic, complemented
19#13074397C211yesmaximal, characteristic, complemented
20#13073768C211yesmaximal, characteristic, complemented
21#13073510C211yesmaximal, characteristic
22#13072994C211yesmaximal, characteristic, complemented
23#13072949C211yesmaximal, characteristic, complemented
24#13072858C211yesmaximal, characteristic, complemented
25#13072735C211yesmaximal, characteristic
26#13072311C211yesmaximal, characteristic, complemented
27#13072065C211yesmaximal, characteristic, complemented
28#13071345C211yesmaximal, characteristic, complemented
29#13071252C211yesmaximal, characteristic, complemented
30D11×#385C211yesmaximal, characteristic, complemented
31C11×#2698C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×#66997C2211yescharacteristic, complemented
38C2×#66982C2211yescharacteristic
39C2×#66950C2211yescharacteristic
40C2×#66950C2211yescharacteristic, complemented
41C2×#66949C2211yescharacteristic
42C2×#66947C2211yescharacteristic
43C2×C4⋊C4×D11C2211yescharacteristic
44C2×C4⋊C4×D11C2211yescharacteristic
45C2×#66939C2211yescharacteristic
46C2×#66938C2211yescharacteristic
47C2×#66935C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C4×D44C2211yescharacteristic
51C11×#400C2211yescharacteristic, complemented
52C11×#398C2211yescharacteristic, complemented
53C11×#398C2211yescharacteristic, complemented
54C11×#397C2211yescharacteristic
55C11×#397C2211yescharacteristic
56C11×#395C2211yescharacteristic, complemented
57C11×#391C2211yescharacteristic, complemented
58C11×#389C2211yescharacteristic, complemented
59C11×#388C2211yescharacteristic
60C11×#387C2211yescharacteristic, complemented
61C11×#385C2211yescharacteristic
62C11×#382C2211yescharacteristic, complemented
63C11×#381C2211yescharacteristic
64#10622844C2211yescharacteristic, complemented
65#10622825C2211yescharacteristic
66#10622823C2211yescharacteristic
67#10622607C2211yescharacteristic
68#10622607C2211yescharacteristic
69#10622607C2211yescharacteristic, complemented
70#10622607C2211yescharacteristic, complemented
71#10622606C2211yescharacteristic
72#10622606C2211yescharacteristic
73#10622606C2211yescharacteristic, complemented
74#10622605C2211yescharacteristic, complemented
75#10622605C2211yescharacteristic, complemented
76#10622603C2211yescharacteristic
77#10622603C2211yescharacteristic, complemented
78#10622603C2211yescharacteristic, complemented
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622602C2211yescharacteristic
87#10622601C2211yescharacteristic
88#10622600C2211yescharacteristic
89#10622600C2211yescharacteristic
90#10622600C2211yescharacteristic
91#10622600C2211yescharacteristic, complemented
92#10622599C2211yescharacteristic, complemented
93#10622597C2211yescharacteristic, complemented
94#10622597C2211yescharacteristic, complemented
95#10622597C2211yescharacteristic, complemented
96#10622596C2211yescharacteristic, complemented
97#10622596C2211yescharacteristic, complemented
98#10622595C2211yescharacteristic, complemented
99#10622594C2211yescharacteristic, complemented
100#10622592C2211yescharacteristic, complemented
101#10622591C2211yescharacteristic, complemented
102#10622589C2211yescharacteristic, complemented
103#10622586C2211yescharacteristic, complemented
104#10622585C2211yescharacteristic, complemented
105#10622572C2211yescharacteristic
106#10622572C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622568C2211yescharacteristic
109#10622568C2211yescharacteristic
110#10622568C2211yescharacteristic
111#10622565C2211yescharacteristic
112#10622565C2211yescharacteristic
113#10622564C2211yescharacteristic
114#10622564C2211yescharacteristic
115#10622564C2211yescharacteristic
116#10622563C2211yescharacteristic
117#10622561C2211yescharacteristic
118#10622560C2211yescharacteristic
119#10622559C2211yescharacteristic
120#10622559C2211yescharacteristic
121#10622559C2211yescharacteristic
122#10622558C2211yescharacteristic
123#10622556C2211yescharacteristic
124#10622553C2211yescharacteristic
125#10622553C2211yescharacteristic
126#10622553C2211yescharacteristic, complemented
127C4×(C2×D11)⋊C4C2211yescharacteristic
128#10622550C2211yescharacteristic, complemented
129#10622542C2211yescharacteristic, complemented
130#10622541C2211yescharacteristic, complemented
131#10622288C2211yescharacteristic, complemented
132#10622287C2211yescharacteristic, complemented
133#10622286C2211yescharacteristic
134#10622286C2211yescharacteristic
135#10622285C2211yescharacteristic
136#10622285C2211yescharacteristic
137#10622283C2211yescharacteristic
138#10622283C2211yescharacteristic
139#10622283C2211yescharacteristic, complemented
140#10622282C2211yescharacteristic
141#10622281C2211yescharacteristic
142#10622281C2211yescharacteristic
143#10622281C2211yescharacteristic
144#10622281C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622280C2211yescharacteristic
148#10622280C2211yescharacteristic, complemented
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622278C2211yescharacteristic
152#10622278C2211yescharacteristic
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622278C2211yescharacteristic
158#10622277C2211yescharacteristic
159#10622277C2211yescharacteristic
160#10622277C2211yescharacteristic
161#10622277C2211yescharacteristic, complemented
162D11×#95C2211yescharacteristic
163D11×#95C2211yescharacteristic
164C11⋊#401C2211yescharacteristic, complemented
165#10622274C2211yescharacteristic, complemented
166#10622274C2211yescharacteristic, complemented
167#10622273C2211yescharacteristic, complemented
168#10622273C2211yescharacteristic, complemented
169#10622272C2211yescharacteristic, complemented
170#10622271C2211yescharacteristic, complemented
171#10622271C2211yescharacteristic, complemented
172#10622271C2211yescharacteristic, complemented
173#10622270C2211yescharacteristic, complemented
174#10622269C2211yescharacteristic, complemented
175#10622269C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622267C2211yescharacteristic, complemented
178#10622267C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×C4×D11—42no—
195C22×C4×D11—42no—
196C22×C4×D11—42no—
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×Dic22C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C11×#126—42no—
209C11×C22⋊Q8—42no—
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×C4⋊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×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234#66999—42no—
235#66999—42no—
236#66997—42no—
237#66982—42no—
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×(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×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×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299#66950—24no—
300#66950—42no—
301#66949—42no—
302#66947—42no—
303C4⋊C4×D11—42no—
304C4⋊C4×D11—42no—
305#66939—42no—
306#66938—42no—
307#66935—42no—
308C22⋊C4×D11—24no—
309C22⋊C4×D11—42no—
310C4×D44—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
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#36778—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11—22no—
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—22no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C2×Q8×C11—22no—
376C2×Q8×C11—41no—
377C2×Q8×C11—41no—
378C22×C4×C11—22no—
379C22×C4×C11—22no—
380C22×C4×C11—41no—
381C22×C4×C11C2411yescharacteristic
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—41no—
397C2×C22⋊D11—41no—
398C22×Dic11—22no—
399C22×Dic11—41no—
400C22×Dic11—41no—
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C2×D44—22no—
415C2×D44—22no—
416C2×D44—22no—
417C2×D44—22no—
418C2×D44—41no—
419C2×D44—41no—
420C2×C4×D11—22no—
421C2×C4×D11—22no—
422C2×C4×D11—22no—
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—41no—
431C2×C4×D11—41no—
432C2×C4×D11—41no—
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—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—
448C2×Dic22—22no—
449C2×Dic22—41no—
450C2×Dic22—41no—
451C2×Dic22—41no—
452C2×Dic22—41no—
453C2×Dic22—41no—
454C11×C4⋊C4—22no—
455C11×C4⋊C4—22no—
456C11×C4⋊C4—41no—
457C11×C4⋊C4—41no—
458C11×C4⋊C4—41no—
459C11×C4⋊C4—41no—
460C11×C4⋊C4—41no—
461C11×C4⋊C4—41no—
462C11×C4⋊C4—41no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4—41no—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—41no—
471C42×C11—22no—
472C42×C11—41no—
473C22⋊Dic11—22no—
474C22⋊Dic11—22no—
475C22⋊Dic11—41no—
476C22⋊Dic11—41no—
477C22⋊Dic11—41no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—22no—
480(C2×D11)⋊C4—22no—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
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—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—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507C4⋊Dic11—22no—
508C4⋊Dic11—22no—
509C4⋊Dic11—22no—
510C4⋊Dic11—22no—
511C4⋊Dic11—41no—
512C4⋊Dic11—41no—
513C4⋊Dic11—41no—
514C4⋊Dic11—41no—
515C4⋊Dic11—41no—
516C4⋊Dic11—41no—
517Dic11⋊C4—22no—
518Dic11⋊C4—22no—
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—
533Dic11⋊C4—41no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539#2849—111no—
540#2848—111no—
541#2790—111no—
542#2779—111no—
543#2770—111no—
544#2765—111no—
545#2764—111no—
546#2763—111no—
547#2757—111no—
548#2746—111no—
549#2739—111no—
550#2729—111no—
551#2718—111no—
552#2717—111no—
553#2698D1111yescharacteristic, complemented
554#2692—111no—
555#2687—111no—
556#2674—111no—
557#2627—111no—
558#2623—111no—
559#2561—111no—
560#2534—111no—
561#2493—111no—
562#2488—111no—
563#2480—111no—
564#2472—111no—
565#2440—111no—
566#2417—111no—
567#2329—111no—
568#2318—111no—
569C2×#385—111no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11H(5,𝔽2)12yes—
577C23×C11C2511yescharacteristic
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—28no—
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—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×D112−1+412yes—
605C22×D112−1+412yes—
606Q8×C11—82no—
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×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—44no—
648C2×C4×C11C2×#4112yes—
649C2×C4×C11H(5,𝔽2)12yes—
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—44no—
690C2×Dic11C2×#4112yes—
691D44—44no—
692D44—82no—
693C4×D11—44no—
694C4×D11—44no—
695C4×D11—44no—
696C4×D11—44no—
697C4×D11—44no—
698C4×D11—44no—
699C4×D11—82no—
700C4×D11—82no—
701C4×D11—82no—
702Dic22—82no—
703Dic22—82no—
704C24×C4—111no—
705C2×C4⋊Q8—111no—
706C2×#126C2×D1111yescharacteristic
707C2×#124—111no—
708C2×#123—111no—
709C2×#123—111no—
710C2×#123—111no—
711C2×C22⋊Q8—111no—
712C2×C22⋊Q8—111no—
713C2×C22⋊Q8—111no—
714C2×C22⋊Q8—111no—
715C2×C22⋊Q8—111no—
716C2×C22⋊Q8C2×D1111yescharacteristic
717C2×#120—111no—
718C2×C4×D4—111no—
719C22×C4⋊C4—111no—
720C22×C4⋊C4—111no—
721C22×C22⋊C4—111no—
722C22×C22⋊C4—111no—
723#401—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#400C2×D1111yescharacteristic, complemented
733#399—111no—
734#399—111no—
735#398—111no—
736#398—111no—
737#398—111no—
738#398—111no—
739#398—111no—
740#398—111no—
741#398—111no—
742#398—111no—
743#398C2×D1111yescharacteristic, complemented
744#398C2×D1111yescharacteristic, complemented
745#397—111no—
746#397—111no—
747#397—111no—
748#397—111no—
749#397—111no—
750#397—111no—
751#397—111no—
752#397C2×D1111yescharacteristic
753#397C2×D1111yescharacteristic
754#396—111no—
755#396—111no—
756#396—111no—
757#396—111no—
758#396—111no—
759#395—111no—
760#395—111no—
761#395—111no—
762#395C2×D1111yescharacteristic, complemented
763#394—111no—
764#394—111no—
765#394—111no—
766#394—111no—
767#393—111no—
768#393—111no—
769#393—111no—
770#393—111no—
771#391—111no—
772#391—111no—
773#391—111no—
774#391C2×D1111yescharacteristic, complemented
775#390—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#388C2×D1111yescharacteristic
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#387C2×D1111yescharacteristic, complemented
805#386—111no—
806#386—111no—
807#386—111no—
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—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#385C2×D1111yescharacteristic
833#384—111no—
834#383—111no—
835#383—111no—
836#382—111no—
837#382C2×D1111yescharacteristic, complemented
838#381—111no—
839#381—111no—
840#381—111no—
841#381—111no—
842#381—111no—
843#381C2×D1111yescharacteristic
844#380—111no—
845#380—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—
855C4×C22⋊C4—111no—
856C4×C22⋊C4—111no—
857C2×#95—111no—
858C2×#95—111no—
859C22×C11—22no—
860C22×C11—22no—
861C22×C11—22no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11C22×#4111yescharacteristic
867C22×C11C2×H(5,𝔽2)11yescharacteristic
868C22×C11C2×H(5,𝔽2)11yescharacteristic
869C22×C11C2×H(5,𝔽2)11yescharacteristic
870C22×C11C2×2−1+411yescharacteristic
871C22×C11C2×2−1+411yescharacteristic
872C22×C11#58511yescharacteristic
873C2×D11—22no—
874C2×D11—22no—
875C2×D11—22no—
876C2×D11—22no—
877C2×D11—22no—
878C2×D11—22no—
879C2×D11—22no—
880C2×D11—22no—
881C2×D11—22no—
882C2×D11—416no—
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#54214yes—
895C4×C11—22no—
896C4×C11—22no—
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—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11—41no—
909Dic11—22no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921Dic11—41no—
922C25—111no—
923C22×Q8—111no—
924C22×Q8—111no—
925C22×Q8C22×D1111yescharacteristic
926C22×D4—111no—
927C22×D4—111no—
928C22×D4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4—442no—
940C23×C4—442no—
941C23×C4—442no—
942C23×C4C22×D1111yescharacteristic
943C4⋊Q8—442no—
944#126—42no—
945#124—442no—
946#123—442no—
947#123—442no—
948#123—442no—
949C22⋊Q8—42no—
950C22⋊Q8—224no—
951C22⋊Q8—442no—
952C22⋊Q8—442no—
953C22⋊Q8—442no—
954C22⋊Q8—442no—
955#120—442no—
956C4×D4—224no—
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—442no—
985C2×C4⋊C4—442no—
986C2×C4⋊C4C22×D1111yescharacteristic
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×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—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—224no—
1032C2×C22⋊C4—442no—
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×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—111no—
1043C2×C42—111no—
1044C2×C42C22×D1111yescharacteristic
1045C2×C42C22×D1111yescharacteristic
1046#95—111no—
1047#95—111no—
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#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095#95C22×D1111yescharacteristic
1096#95C22×D1111yescharacteristic
1097#95C22×D1111yescharacteristic
1098C2×C11—42no—
1099C2×C11C2×#54211yescharacteristic
1100C2×C11#349211yescharacteristic
1101C2×C11#350511yescharacteristic
1102C2×C11#353211yescharacteristic
1103C2×C11#353511yescharacteristic
1104C2×C11#353511yescharacteristic
1105C2×C11#353811yescharacteristic
1106D11—24no—
1107D11—42no—
1108D11—81no—
1109C24—111no—
1110C24—111no—
1111C24—111no—
1112C24—222no—
1113C24—222no—
1114C24—222no—
1115C24—222no—
1116C24—222no—
1117C24—441no—
1118C24—441no—
1119C24C23×D1111yescharacteristic
1120C2×Q8—22no—
1121C2×Q8—41no—
1122C2×Q8—41no—
1123C2×Q8—222no—
1124C2×Q8—441no—
1125C2×Q8—441no—
1126C2×Q8—441no—
1127C2×Q8—441no—
1128C2×Q8—441no—
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—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—41no—
1141C22×C4—111no—
1142C22×C4—114no—
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—111no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—111no—
1155C22×C4—222no—
1156C22×C4—222no—
1157C22×C4—222no—
1158C22×C4—222no—
1159C22×C4—222no—
1160C22×C4—222no—
1161C22×C4—222no—
1162C22×C4—222no—
1163C22×C4—222no—
1164C22×C4—222no—
1165C22×C4—222no—
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×C4—441no—
1178C22×C4—441no—
1179C22×C4—441no—
1180C22×C4—441no—
1181C22×C4—441no—
1182C22×C4—4416no—
1183C22×C4—441no—
1184C22×C4—441no—
1185C22×C4C23×D1111yescharacteristic
1186C22×C4C23×D1111yescharacteristic
1187C22×C4C23×D1111yescharacteristic
1188C22×C4C23×D1111yescharacteristic
1189C22×C4C23×D1111yescharacteristic
1190C22×C4C23×D1111yescharacteristic
1191C22×C4C23×D1111yescharacteristic
1192C22×C4C23×D1111yescharacteristic
1193C22×C4C23×D1111yescharacteristic
1194C22×C4C23×D1111yescharacteristic
1195C22×C4C23×D1111yescharacteristic
1196C22×C4C23×D1111yescharacteristic
1197C22×C4C23×D1111yescharacteristic
1198C22×C4C23×D1111yescharacteristic
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—222no—
1211C4⋊C4—222no—
1212C4⋊C4—222no—
1213C4⋊C4—222no—
1214C4⋊C4—222no—
1215C4⋊C4—222no—
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—
1235C4⋊C4—441no—
1236C4⋊C4—441no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—41no—
1243C22⋊C4—222no—
1244C22⋊C4—222no—
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—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—
1271C22⋊C4—441no—
1272C22⋊C4—441no—
1273C22⋊C4—441no—
1274C22⋊C4—441no—
1275C22⋊C4—441no—
1276C22⋊C4—441no—
1277C42—22no—
1278C42—41no—
1279C42—441no—
1280C42—441no—
1281C42—441no—
1282C42—441no—
1283C42—441no—
1284C11#3677811yescharacteristic, complemented, Sylow
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—112no—
1292C23—112no—
1293C23—112no—
1294C23—112no—
1295C23—228no—
1296C23—221no—
1297C23—221no—
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—444no—
1314C23—444no—
1315C23—444no—
1316C23—444no—
1317C23—444no—
1318C23—444no—
1319C23#6703712yes—
1320C23C24×D1111yescharacteristic
1321Q8—82no—
1322Q8—882no—
1323Q8—882no—
1324D4—444no—
1325D4—882no—
1326D4—882no—
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—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—44no—
1368C2×C4—112no—
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—221no—
1406C2×C4—221no—
1407C2×C4—444no—
1408C2×C4—444no—
1409C2×C4—444no—
1410C2×C4—444no—
1411C2×C4—444no—
1412C2×C4—444no—
1413C2×C4—444no—
1414C2×C4—882no—
1415C2×C4—882no—
1416C2×C4—882no—
1417C2×C4#41×D1112yes—
1418C2×C4#6704212yes—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—114no—
1427C22—222no—
1428C22—222no—
1429C22—222no—
1430C22—222no—
1431C22—222no—
1432C22—222no—
1433C22—222no—
1434C22—222no—
1435C22—222no—
1436C22—4416no—
1437C22—441no—
1438C22—441no—
1439C22—441no—
1440C22—441no—
1441C22—441no—
1442C22—441no—
1443C22—441no—
1444C22—441no—
1445C22—441no—
1446C22—441no—
1447C22—441no—
1448C22C2×#6703711yescharacteristic
1449C22C2×#41×D1111yescharacteristic
1450C22C2×#6704211yescharacteristic
1451C22D11×H(5,𝔽2)11yescharacteristic
1452C22D11×2−1+411yescharacteristic
1453C22D11×2−1+411yescharacteristic
1454C22#1062345711yescharacteristic
1455C4—22no—
1456C4—22no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—222no—
1470C4—441no—
1471C4—441no—
1472C4—441no—
1473C4—441no—
1474C4—441no—
1475C4—441no—
1476C4—441no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C4—441no—
1482C2—42no—
1483C2—224no—
1484C2—442no—
1485C2—881no—
1486C2D11×#54211yescharacteristic
1487C2#1308231811yescharacteristic
1488C2#1308245611yescharacteristic
1489C2#1308276511yescharacteristic
1490C2#1308281511yescharacteristic
1491C2#1308282711yescharacteristic
1492C2#1308286411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2698C2
prime radicalC2×#66935C22
hypercenter#2698D11
hypocenterC11#36778
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2698

Complements

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

NH ≅ G/Ntype
2. #13076900C2semidirect
3. #13076392C2semidirect
4. #13076255C2semidirect
5. #13076120C2semidirect
6. #13076053C2semidirect
7. #13076041C2semidirect
8. #13076029C2semidirect
9. #13075959C2semidirect
10. #13075803C2semidirect
11. #13075701C2semidirect
12. #13075596C2semidirect
13. #13075460C2semidirect
14. #13075457C2semidirect
15. #13075119C2semidirect
16. #13075040C2semidirect
17. #13074893C2semidirect
18. #13074434C2semidirect
19. #13074397C2semidirect
20. #13073768C2semidirect
22. #13072994C2semidirect
23. #13072949C2semidirect
24. #13072858C2semidirect
26. #13072311C2semidirect
27. #13072065C2semidirect
28. #13071345C2semidirect
29. #13071252C2semidirect
30. D11×#385C2semidirect
31. C11×#2698C2semidirect
37. C2×#66997C22semidirect
40. C2×#66950C22semidirect
51. C11×#400C22semidirect
52. C11×#398C22semidirect
53. C11×#398C22semidirect
56. C11×#395C22semidirect
57. C11×#391C22semidirect
58. C11×#389C22semidirect
60. C11×#387C22semidirect
62. C11×#382C22semidirect
64. #10622844C22semidirect
69. #10622607C22semidirect
70. #10622607C22semidirect
73. #10622606C22semidirect
74. #10622605C22semidirect
75. #10622605C22semidirect
77. #10622603C22semidirect
78. #10622603C22semidirect
91. #10622600C22semidirect
92. #10622599C22semidirect
93. #10622597C22semidirect
94. #10622597C22semidirect
95. #10622597C22semidirect
96. #10622596C22semidirect
97. #10622596C22semidirect
98. #10622595C22semidirect
99. #10622594C22semidirect
100. #10622592C22semidirect
101. #10622591C22semidirect
102. #10622589C22semidirect
103. #10622586C22semidirect
104. #10622585C22semidirect
126. #10622553C22semidirect
128. #10622550C22semidirect
129. #10622542C22semidirect
130. #10622541C22semidirect
131. #10622288C22semidirect
132. #10622287C22semidirect
139. #10622283C22semidirect
148. #10622280C22semidirect
161. #10622277C22semidirect
164. C11⋊#401C22semidirect
165. #10622274C22semidirect
166. #10622274C22semidirect
167. #10622273C22semidirect
168. #10622273C22semidirect
169. #10622272C22semidirect
170. #10622271C22semidirect
171. #10622271C22semidirect
172. #10622271C22semidirect
173. #10622270C22semidirect
174. #10622269C22semidirect
175. #10622269C22semidirect
176. #10622268C22semidirect
177. #10622267C22semidirect
178. #10622267C22semidirect
179. #10622266C22semidirect
180. #10622266C22semidirect
181. #10622266C22semidirect
182. #10622264C22semidirect
183. #10622263C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
553. #2698D11semidirect
732. #400C2×D11semidirect
743. #398C2×D11semidirect
744. #398C2×D11semidirect
762. #395C2×D11semidirect
774. #391C2×D11semidirect
780. #389C2×D11semidirect
804. #387C2×D11semidirect
837. #382C2×D11semidirect
1284. C11#36778semidirect

Maximal subgroups

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

subgroupindex
#130769092
#130769002
#130763922
#130762552
#130761202
#130760532
#130760412
#130760292
#130759592
#130758032
#130757012
#130755962
#130754602
#130754572
#130751192
#130750402
#130748932
#130744342
#130743972
#130737682
#130735102
#130729942
#130729492
#130728582
#130727352
#130723112
#130720652
#130713452
#130712522
D11×#3852
C11×#26982
#3677811