Finite Group Databasebeta

← #14960643

Subgroups — #14960643

Order 2816.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623174C211yesmaximal, characteristic, complemented
2C2×#10623187C211yesmaximal, characteristic, complemented
3#13076907C211yesmaximal, characteristic, complemented
4#13076904C211yesmaximal, characteristic, complemented
5#13075151C211yesmaximal, characteristic, complemented
6#13075106C211yesmaximal, characteristic, complemented
7#13075099C211yesmaximal, characteristic, complemented
8#13075060C211yesmaximal, characteristic, complemented
9#13075027C211yesmaximal, characteristic, complemented
10#13075002C211yesmaximal, characteristic, complemented
11#13074999C211yesmaximal, characteristic, complemented
12#13074929C211yesmaximal, characteristic, complemented
13#13074924C211yesmaximal, characteristic, complemented
14#13074897C211yesmaximal, characteristic, complemented
15#13074894C211yesmaximal, characteristic, complemented
16#13074871C211yesmaximal, characteristic, complemented
17#13074853C211yesmaximal, characteristic, complemented
18#13074841C211yesmaximal, characteristic, complemented
19#13074822C211yesmaximal, characteristic, complemented
20#13074538C211yesmaximal, characteristic, complemented
21#13074460C211yesmaximal, characteristic, complemented
22#13074290C211yesmaximal, characteristic, complemented
23#13074235C211yesmaximal, characteristic, complemented
24#13074186C211yesmaximal, characteristic, complemented
25#13074178C211yesmaximal, characteristic, complemented
26#13073969C211yesmaximal, characteristic, complemented
27#13073799C211yesmaximal, characteristic, complemented
28#13072246C211yesmaximal, characteristic, complemented
29#13072219C211yesmaximal, characteristic, complemented
30#13071248C211yesmaximal, characteristic, complemented
31C11×#2696C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic, complemented
36C2×#67000C2211yescharacteristic
37C2×Q8×Dic11C2211yescharacteristic, complemented
38C2×#66991C2211yescharacteristic
39C2×#66991C2211yescharacteristic, complemented
40C2×#66990C2211yescharacteristic
41C2×#66990C2211yescharacteristic
42C2×#66989C2211yescharacteristic
43C2×#66983C2211yescharacteristic
44C2×#66982C2211yescharacteristic
45C2×#66979C2211yescharacteristic, complemented
46C2×#66977C2211yescharacteristic
47#10623187—28no—
48#10623174—28no—
49C2×#66951C2211yescharacteristic
50C2×#66951C2211yescharacteristic, complemented
51C2×#66950C2211yescharacteristic
52C2×#66950C2211yescharacteristic
53C2×#66950C2211yescharacteristic, complemented
54C2×#66949C2211yescharacteristic
55C2×#66949C2211yescharacteristic
56C2×#66946C2211yescharacteristic
57C2×#66946C2211yescharacteristic
58C2×#66941C2211yescharacteristic, complemented
59C2×#66938C2211yescharacteristic
60C2×#66938C2211yescharacteristic, complemented
61C2×#66937C2211yescharacteristic
62C2×#66937C2211yescharacteristic
63C2×#66936C2211yescharacteristic
64C2×#66936C2211yescharacteristic
65C2×#66936C2211yescharacteristic, complemented
66C2×#66935C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×#66930C2211yescharacteristic
70C2×#66922C2211yescharacteristic, complemented
71C11×#400C2211yescharacteristic, complemented
72C11×#397C2211yescharacteristic, complemented
73C11×#394C2211yescharacteristic, complemented
74C11×#393C2211yescharacteristic
75C11×#393C2211yescharacteristic, complemented
76C11×#392C2211yescharacteristic
77C11×#390C2211yescharacteristic
78C11×#388C2211yescharacteristic, complemented
79C11×#387C2211yescharacteristic, complemented
80C11×#386C2211yescharacteristic
81C11×#386C2211yescharacteristic
82C11×#386C2211yescharacteristic, complemented
83C11×#380C2211yescharacteristic
84#10622844C2211yescharacteristic
85#10622842C2211yescharacteristic, complemented
86#10622836C2211yescharacteristic
87#10622836C2211yescharacteristic
88#10622835C2211yescharacteristic
89#10622835C2211yescharacteristic
90#10622833C2211yescharacteristic
91#10622833C2211yescharacteristic, complemented
92#10622826C2211yescharacteristic
93#10622823C2211yescharacteristic
94#10622823C2211yescharacteristic, complemented
95#10622605C2211yescharacteristic
96#10622602C2211yescharacteristic, complemented
97#10622600C2211yescharacteristic
98#10622600C2211yescharacteristic
99#10622596C2211yescharacteristic, complemented
100#10622594C2211yescharacteristic, complemented
101#10622593C2211yescharacteristic, complemented
102#10622592C2211yescharacteristic, complemented
103#10622587C2211yescharacteristic, complemented
104#10622585C2211yescharacteristic, complemented
105#10622574C2211yescharacteristic
106#10622574C2211yescharacteristic
107#10622574C2211yescharacteristic
108#10622574C2211yescharacteristic
109#10622574C2211yescharacteristic, complemented
110#10622574C2211yescharacteristic, complemented
111#10622573C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622572C2211yescharacteristic
114#10622572C2211yescharacteristic
115#10622572C2211yescharacteristic, complemented
116#10622570C2211yescharacteristic
117#10622570C2211yescharacteristic
118#10622570C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622569C2211yescharacteristic, complemented
123#10622568C2211yescharacteristic
124#10622568C2211yescharacteristic
125#10622568C2211yescharacteristic
126#10622566C2211yescharacteristic
127#10622563C2211yescharacteristic
128#10622563C2211yescharacteristic
129#10622563C2211yescharacteristic
130#10622563C2211yescharacteristic, complemented
131#10622563C2211yescharacteristic, complemented
132#10622563C2211yescharacteristic, complemented
133#10622562C2211yescharacteristic, complemented
134#10622562C2211yescharacteristic, complemented
135#10622561C2211yescharacteristic
136#10622561C2211yescharacteristic, complemented
137#10622561C2211yescharacteristic, complemented
138#10622561C2211yescharacteristic, complemented
139#10622560C2211yescharacteristic, complemented
140#10622560C2211yescharacteristic, complemented
141#10622558C2211yescharacteristic
142#10622558C2211yescharacteristic
143#10622558C2211yescharacteristic, complemented
144#10622557C2211yescharacteristic
145#10622557C2211yescharacteristic, complemented
146#10622553C2211yescharacteristic
147#10622553C2211yescharacteristic
148C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
149#10622290C2211yescharacteristic
150#10622288C2211yescharacteristic
151#10622288C2211yescharacteristic, complemented
152#10622287C2211yescharacteristic
153#10622287C2211yescharacteristic
154#10622286C2211yescharacteristic
155#10622285C2211yescharacteristic
156#10622283C2211yescharacteristic
157#10622282C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622281C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic
162#10622281C2211yescharacteristic
163#10622281C2211yescharacteristic
164#10622281C2211yescharacteristic, complemented
165#10622280C2211yescharacteristic, complemented
166#10622280C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622277C2211yescharacteristic
172#10622277C2211yescharacteristic
173D11×#95C2211yescharacteristic, complemented
174#10622274C2211yescharacteristic, complemented
175#10622273C2211yescharacteristic, complemented
176#10622270C2211yescharacteristic, complemented
177#10622269C2211yescharacteristic, complemented
178#10622269C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622266C2211yescharacteristic, complemented
185#10622264C2211yescharacteristic, complemented
186#10622263C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C2×#4341—24no—
206C2×#4341—42no—
207C2×#4341—42no—
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×C4×D11—24no—
211C22×C4×D11—42no—
212C22×C4×D11—42no—
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×Dic22C2311yescharacteristic
221C22×Dic22C2311yescharacteristic
222C22×Dic22C2311yescharacteristic
223C11×#123—24no—
224C11×C22⋊Q8—24no—
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258#67000—24no—
259Q8×Dic11—24no—
260#66991—42no—
261#66991—42no—
262#66990—24no—
263#66990—42no—
264#66989—42no—
265#66983—24no—
266#66982—24no—
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×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292#66979—24no—
293C2×C4⋊Dic11C2311yescharacteristic
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
304C2×C4⋊Dic11C2311yescharacteristic
305#66977—42no—
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327#66951—24no—
328#66951—24no—
329#66950—24no—
330#66950—24no—
331#66950—42no—
332#66949—24no—
333#66949—24no—
334#66946—24no—
335#66946D418yescomplemented
336#66941—24no—
337#66938—24no—
338#66938—24no—
339#66937—24no—
340#66937—24no—
341#66936—24no—
342#66936—24no—
343#66936—42no—
344#66935—24no—
345(C22⋊D11)⋊C4—24no—
346(C22⋊D11)⋊C4—24no—
347#66930—24no—
348#66922—42no—
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#36712—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—22no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11—41no—
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C2×Q8×C11—22no—
400C2×Q8×C11—41no—
401C2×Q8×C11—41no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11—41no—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C22×Dic11—22no—
451C22×Dic11—22no—
452C22×Dic11—22no—
453C22×Dic11—22no—
454C22×Dic11—41no—
455C22×Dic11—41no—
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469#4341—416no—
470C2×D44—22no—
471C2×D44—22no—
472C2×D44—41no—
473C2×D44—41no—
474C2×D44—41no—
475C2×D44C2×D414yes—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—416no—
496C2×C4×D11C2×D414yes—
497C2×C4×D11C2×D414yes—
498C2×Dic22—22no—
499C2×Dic22—22no—
500C2×Dic22—22no—
501C2×Dic22—22no—
502C2×Dic22—41no—
503C2×Dic22—41no—
504C2×Dic22—41no—
505C2×Dic22—41no—
506C2×Dic22—41no—
507C11×C4⋊C4—22no—
508C11×C4⋊C4—22no—
509C11×C4⋊C4—22no—
510C11×C4⋊C4—41no—
511C11×C4⋊C4C2×D414yes—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—22no—
517C11×C22⋊C4—41no—
518C11×C22⋊C4—41no—
519C11×C22⋊C4—41no—
520C11×C22⋊C4—41no—
521C11×C22⋊C4—41no—
522C11×C22⋊C4—41no—
523C11×C22⋊C4—41no—
524C11×C22⋊C4—41no—
525C42×C11—41no—
526C22⋊Dic11—22no—
527C22⋊Dic11—22no—
528C22⋊Dic11—22no—
529C22⋊Dic11—22no—
530C22⋊Dic11—22no—
531C22⋊Dic11—22no—
532C22⋊Dic11—22no—
533C22⋊Dic11—41no—
534C22⋊Dic11—41no—
535C22⋊Dic11—41no—
536C22⋊Dic11—41no—
537C22⋊Dic11—41no—
538C22⋊Dic11—41no—
539C22⋊Dic11—41no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4C2×D414yes—
564(C2×D11)⋊C4C2×D414yes—
565C4⋊Dic11—22no—
566C4⋊Dic11—22no—
567C4⋊Dic11—22no—
568C4⋊Dic11—22no—
569C4⋊Dic11—22no—
570C4⋊Dic11—22no—
571C4⋊Dic11—22no—
572C4⋊Dic11—22no—
573C4⋊Dic11—41no—
574C4⋊Dic11—41no—
575C4⋊Dic11—41no—
576C4⋊Dic11—41no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—41no—
584Dic11⋊C4—41no—
585Dic11⋊C4—41no—
586Dic11⋊C4—41no—
587Dic11⋊C4—41no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590Dic11⋊C4—41no—
591Dic11⋊C4—41no—
592C4×Dic11—22no—
593C4×Dic11—22no—
594C4×Dic11—22no—
595C4×Dic11—22no—
596C4×Dic11—41no—
597C4×Dic11C2×D414yes—
598C2×#542—111no—
599C2×#525—111no—
600#2849—111no—
601#2848—111no—
602#2696D1111yescharacteristic, complemented
603#2695—111no—
604#2692—111no—
605#2691—111no—
606#2689—111no—
607#2686—111no—
608#2685—111no—
609#2684—111no—
610#2677—111no—
611#2676—111no—
612#2674—111no—
613#2674—111no—
614#2672—111no—
615#2671—111no—
616#2670—111no—
617#2668—111no—
618#2638—111no—
619#2630—111no—
620#2609—111no—
621#2602—111no—
622#2599—111no—
623#2598—111no—
624#2580—111no—
625#2564—111no—
626#2432—111no—
627#2430—111no—
628#2318—111no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11H(5,𝔽2)12yes—
650C23×C11C2511yescharacteristic
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—44no—
670C22×D11—44no—
671C22×D11—44no—
672C22×D11—44no—
673C22×D11—44no—
674C22×D11—44no—
675C22×D11—44no—
676C22×D11C22×D412yes—
677C22×D11C22×D412yes—
678C22×D112−1+412yes—
679Q8×C11—44no—
680D4×C11—44no—
681D4×C11—82no—
682D4×C11—82no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—44no—
717C2×C4×C11—44no—
718C2×C4×C11C22×D412yes—
719C2×C4×C11C22×D412yes—
720C2×C4×C11C22×D412yes—
721C22⋊D11—44no—
722C22⋊D11—44no—
723C22⋊D11—44no—
724C22⋊D11—44no—
725C22⋊D11—82no—
726C22⋊D11—82no—
727C22⋊D11—82no—
728C2×Dic11—28no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—44no—
766C2×Dic11C22×D412yes—
767C2×Dic11C22×D412yes—
768C2×Dic11H(5,𝔽2)12yes—
769D44—44no—
770D44—44no—
771C4×D11—44no—
772C4×D11—44no—
773C4×D11—44no—
774C4×D11—44no—
775C4×D11—44no—
776C4×D11—82no—
777C4×D11—82no—
778Dic22—44no—
779Dic22—82no—
780Dic22—82no—
781C22×#41—111no—
782C24×C4—111no—
783#542—228no—
784C2×C4⋊Q8—111no—
785C2×C4⋊Q8—111no—
786C2×#126—111no—
787C2×#126—111no—
788C2×#124—111no—
789C2×#124—111no—
790C2×#124—111no—
791C2×#124—111no—
792#525—228no—
793C2×#123—111no—
794C2×#123—111no—
795C2×#123—111no—
796C2×#123—111no—
797C2×#123C2×D1111yescharacteristic
798C2×C22⋊Q8—111no—
799C2×C22⋊Q8—111no—
800C2×C22⋊Q8—111no—
801C2×C22⋊Q8—111no—
802C2×C22⋊Q8—111no—
803C2×C22⋊Q8—111no—
804C2×C22⋊Q8C2×D1111yescharacteristic, complemented
805C2×#121—111no—
806C2×#121—111no—
807C2×#121—111no—
808C2×#121—111no—
809C2×#121—111no—
810C2×#120—111no—
811C2×#120—111no—
812C2×#120—111no—
813C2×C4×Q8—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×C4×D4—111no—
817C2×C4×D4—111no—
818C2×#117—111no—
819C2×#117—111no—
820#400—111no—
821#400C2×D1111yescharacteristic, complemented
822#399—111no—
823#399—111no—
824#399—111no—
825#399—111no—
826#398—111no—
827#398—111no—
828#398—111no—
829#398—111no—
830#397—111no—
831#397—111no—
832#397—111no—
833#397—111no—
834#397—111no—
835#397C2×D1111yescharacteristic, complemented
836#396—111no—
837#396—111no—
838#396—111no—
839#396—111no—
840#395—111no—
841#395—111no—
842#395—111no—
843#395—111no—
844#394—111no—
845#394—111no—
846#394—111no—
847#394—111no—
848#394—111no—
849#394—111no—
850#394—111no—
851#394—111no—
852#394—111no—
853#394—111no—
854#394—111no—
855#394—111no—
856#394—111no—
857#394C2×D1111yescharacteristic, complemented
858#393—111no—
859#393—111no—
860#393—111no—
861#393—111no—
862#393C2×D1111yescharacteristic
863#393C2×D1111yescharacteristic, complemented
864#392—111no—
865#392—111no—
866#392—111no—
867#392C2×D1111yescharacteristic
868#391—111no—
869#390—111no—
870#390—111no—
871#390—111no—
872#390C2×D1111yescharacteristic
873#389—111no—
874#389—111no—
875#389—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388C2×D1111yescharacteristic, complemented
886#387—111no—
887#387—111no—
888#387—111no—
889#387—111no—
890#387—111no—
891#387—111no—
892#387—111no—
893#387C2×D1111yescharacteristic, complemented
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386C2×D1111yescharacteristic
906#386C2×D1111yescharacteristic
907#386C2×D1111yescharacteristic, complemented
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#385—111no—
921#385—111no—
922#385—111no—
923#385—111no—
924#383—111no—
925#382—111no—
926#381—111no—
927#381—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#380—111no—
932#380C2×D1111yescharacteristic
933#379—111no—
934#379—111no—
935#379—111no—
936C4×C22⋊C4—111no—
937C2×#95—111no—
938C22×C11—22no—
939C22×C11—22no—
940C22×C11—22no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11—41no—
959C22×C11C23×D411yescharacteristic
960C22×C11C2×H(5,𝔽2)11yescharacteristic
961C22×C11C2×H(5,𝔽2)11yescharacteristic
962C22×C11C2×2−1+411yescharacteristic
963C22×C11#58511yescharacteristic
964C22×C11#58511yescharacteristic
965C22×C11#58511yescharacteristic
966C2×D11—22no—
967C2×D11—22no—
968C2×D11—22no—
969C2×D11—22no—
970C2×D11—22no—
971C2×D11—22no—
972C2×D11—22no—
973C2×D11—22no—
974C2×D11—22no—
975C2×D11—416no—
976C2×D11—41no—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—41no—
983C2×D11—41no—
984C2×D11—41no—
985C2×D11—41no—
986C2×D11—41no—
987C2×D11—41no—
988C4×C11—22no—
989C4×C11—22no—
990C4×C11—22no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996C4×C11—41no—
997C4×C11—41no—
998C4×C11—41no—
999C4×C11—41no—
1000Dic11—22no—
1001Dic11—22no—
1002Dic11—22no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009Dic11—41no—
1010Dic11—41no—
1011Dic11—41no—
1012Dic11—41no—
1013C25—111no—
1014C2×#41—224no—
1015C2×#41—442no—
1016C2×#41—442no—
1017C22×Q8—111no—
1018C22×Q8—111no—
1019C22×Q8—111no—
1020C22×Q8C22×D1111yescharacteristic
1021C22×D4—111no—
1022C22×D4—111no—
1023C22×D4—111no—
1024C22×D4—111no—
1025C22×D4—111no—
1026C22×D4—111no—
1027C22×D4—111no—
1028C22×D4—111no—
1029C22×D4—111no—
1030C22×D4C22×D1111yescharacteristic
1031C22×D4C22×D1111yescharacteristic
1032C22×D4C22×D1111yescharacteristic
1033C23×C4—111no—
1034C23×C4—111no—
1035C23×C4—111no—
1036C23×C4—111no—
1037C23×C4—111no—
1038C23×C4—111no—
1039C23×C4—111no—
1040C23×C4—111no—
1041C23×C4—111no—
1042C23×C4—224no—
1043C23×C4—442no—
1044C23×C4—442no—
1045C23×C4C22×D1111yescharacteristic
1046C23×C4C22×D1111yescharacteristic
1047C4⋊Q8—224no—
1048C4⋊Q8—442no—
1049#126—224no—
1050#126—224no—
1051#124—224no—
1052#124—224no—
1053#124—224no—
1054#124—442no—
1055#123—24no—
1056#123—224no—
1057#123—224no—
1058#123—224no—
1059#123—442no—
1060C22⋊Q8—24no—
1061C22⋊Q8—224no—
1062C22⋊Q8—224no—
1063C22⋊Q8—224no—
1064C22⋊Q8—224no—
1065C22⋊Q8—442no—
1066C22⋊Q8—442no—
1067#121—224no—
1068#121—224no—
1069#121—224no—
1070#121—442no—
1071#121—442no—
1072#120—224no—
1073#120—224no—
1074#120—442no—
1075C4×Q8—224no—
1076C4×D4—118no—
1077C4×D4—224no—
1078C4×D4—224no—
1079C4×D4—224no—
1080#117—224no—
1081#117—224no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4C22×D1111yescharacteristic
1110C2×C4⋊C4C22×D1111yescharacteristic
1111C2×C4⋊C4C22×D1111yescharacteristic
1112C2×C4⋊C4C22×D1111yescharacteristic
1113C2×C4⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4C22×D1111yescharacteristic
1154C2×C22⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4C22×D1111yescharacteristic
1156C2×C22⋊C4C22×D1111yescharacteristic
1157C2×C22⋊C4C22×D1111yescharacteristic
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
1160C2×C22⋊C4C22×D1111yescharacteristic
1161C2×C22⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C42—111no—
1167C2×C42—111no—
1168C2×C42—111no—
1169C2×C42—111no—
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42C22×D1111yescharacteristic
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95C22×D1111yescharacteristic
1200#95C22×D1111yescharacteristic
1201#95C22×D1111yescharacteristic
1202#95C22×D1111yescharacteristic
1203#95C22×D1111yescharacteristic
1204#95C22×D1111yescharacteristic
1205#95C22×D1111yescharacteristic
1206#95C22×D1111yescharacteristic
1207#95C22×D1111yescharacteristic
1208#95C22×D1111yescharacteristic
1209C2×C11—42no—
1210C2×C11—81no—
1211C2×C11—81no—
1212C2×C11#344911yescharacteristic
1213C2×C11#348411yescharacteristic
1214C2×C11#348911yescharacteristic
1215C2×C11#353311yescharacteristic
1216C2×C11#353511yescharacteristic
1217C2×C11#354011yescharacteristic
1218C2×C11#354111yescharacteristic
1219D11—42no—
1220D11—42no—
1221D11—42no—
1222C24—111no—
1223C24—111no—
1224C24—111no—
1225C24—222no—
1226C24—222no—
1227C24—222no—
1228C24—441no—
1229C24—441no—
1230C24—441no—
1231C24—441no—
1232C24C23×D1111yescharacteristic
1233C24C23×D1111yescharacteristic
1234C24C23×D1111yescharacteristic
1235#41—4416no—
1236C2×Q8—22no—
1237C2×Q8—41no—
1238C2×Q8—41no—
1239C2×Q8—222no—
1240C2×Q8—222no—
1241C2×Q8—222no—
1242C2×Q8—222no—
1243C2×Q8—441no—
1244C2×Q8—441no—
1245C2×Q8—441no—
1246C2×Q8—441no—
1247C2×Q8—441no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—114no—
1258C2×D4—222no—
1259C2×D4—222no—
1260C2×D4—222no—
1261C2×D4—222no—
1262C2×D4—222no—
1263C2×D4—222no—
1264C2×D4—222no—
1265C2×D4—222no—
1266C2×D4—222no—
1267C2×D4—222no—
1268C2×D4—222no—
1269C2×D4—222no—
1270C2×D4—441no—
1271C2×D4—441no—
1272C2×D4—441no—
1273C2×D4—441no—
1274C2×D4—441no—
1275C2×D4—441no—
1276C2×D4—441no—
1277C2×D4—441no—
1278C2×D4—441no—
1279C2×D4—441no—
1280C2×D4—441no—
1281C2×D4—441no—
1282C2×D4—441no—
1283C2×D4—441no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—114no—
1294C22×C4—114no—
1295C22×C4—111no—
1296C22×C4—111no—
1297C22×C4—111no—
1298C22×C4—111no—
1299C22×C4—111no—
1300C22×C4—111no—
1301C22×C4—111no—
1302C22×C4—111no—
1303C22×C4—111no—
1304C22×C4—111no—
1305C22×C4—222no—
1306C22×C4—222no—
1307C22×C4—222no—
1308C22×C4—222no—
1309C22×C4—222no—
1310C22×C4—222no—
1311C22×C4—222no—
1312C22×C4—222no—
1313C22×C4—222no—
1314C22×C4—441no—
1315C22×C4—441no—
1316C22×C4—441no—
1317C22×C4—441no—
1318C22×C4—441no—
1319C22×C4—441no—
1320C22×C4—441no—
1321C22×C4—441no—
1322C22×C4—441no—
1323C22×C4—441no—
1324C22×C4—441no—
1325C22×C4—441no—
1326C22×C4—441no—
1327C22×C4—441no—
1328C22×C4—4416no—
1329C22×C4—441no—
1330C22×C4—441no—
1331C22×C4C23×D1111yescharacteristic
1332C22×C4C23×D1111yescharacteristic
1333C22×C4C23×D1111yescharacteristic
1334C22×C4C23×D1111yescharacteristic
1335C22×C4C23×D1111yescharacteristic
1336C22×C4C23×D1111yescharacteristic
1337C22×C4C23×D1111yescharacteristic
1338C22×C4C23×D1111yescharacteristic
1339C22×C4C23×D1111yescharacteristic
1340C22×C4C23×D1111yescharacteristic
1341C22×C4C23×D1111yescharacteristic
1342C22×C4C23×D1111yescharacteristic
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—41no—
1347C4⋊C4—222no—
1348C4⋊C4—222no—
1349C4⋊C4—222no—
1350C4⋊C4—222no—
1351C4⋊C4—222no—
1352C4⋊C4—222no—
1353C4⋊C4—222no—
1354C4⋊C4—222no—
1355C4⋊C4—222no—
1356C4⋊C4—222no—
1357C4⋊C4—222no—
1358C4⋊C4—222no—
1359C4⋊C4—222no—
1360C4⋊C4—222no—
1361C4⋊C4—441no—
1362C4⋊C4—441no—
1363C4⋊C4—441no—
1364C4⋊C4—441no—
1365C4⋊C4—441no—
1366C4⋊C4—441no—
1367C4⋊C4—441no—
1368C4⋊C4—441no—
1369C4⋊C4—441no—
1370C4⋊C4—441no—
1371C4⋊C4—441no—
1372C4⋊C4—441no—
1373C4⋊C4—441no—
1374C4⋊C4D4×D1114yes—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—114no—
1389C22⋊C4—114no—
1390C22⋊C4—222no—
1391C22⋊C4—222no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—222no—
1396C22⋊C4—222no—
1397C22⋊C4—222no—
1398C22⋊C4—222no—
1399C22⋊C4—222no—
1400C22⋊C4—222no—
1401C22⋊C4—222no—
1402C22⋊C4—222no—
1403C22⋊C4—222no—
1404C22⋊C4—222no—
1405C22⋊C4—222no—
1406C22⋊C4—222no—
1407C22⋊C4—222no—
1408C22⋊C4—441no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
1411C22⋊C4—441no—
1412C22⋊C4—441no—
1413C22⋊C4—441no—
1414C22⋊C4—441no—
1415C22⋊C4—441no—
1416C22⋊C4—441no—
1417C22⋊C4—441no—
1418C22⋊C4—441no—
1419C22⋊C4—441no—
1420C22⋊C4—441no—
1421C22⋊C4—441no—
1422C22⋊C4—441no—
1423C22⋊C4—441no—
1424C22⋊C4—441no—
1425C22⋊C4—441no—
1426C22⋊C4—441no—
1427C42—41no—
1428C42—114no—
1429C42—222no—
1430C42—222no—
1431C42—222no—
1432C42—222no—
1433C42—441no—
1434C11#3671211yescharacteristic, complemented, Sylow
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—112no—
1456C23—112no—
1457C23—112no—
1458C23—221no—
1459C23—221no—
1460C23—221no—
1461C23—221no—
1462C23—221no—
1463C23—221no—
1464C23—221no—
1465C23—221no—
1466C23—221no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—221no—
1471C23—221no—
1472C23—221no—
1473C23—221no—
1474C23—221no—
1475C23—221no—
1476C23—444no—
1477C23—444no—
1478C23—444no—
1479C23—444no—
1480C23—444no—
1481C23—444no—
1482C23—444no—
1483C23#6704212yes—
1484C23C24×D1111yescharacteristic
1485Q8—44no—
1486Q8—444no—
1487Q8—882no—
1488Q8—882no—
1489D4—44no—
1490D4—82no—
1491D4—82no—
1492D4—444no—
1493D4—444no—
1494D4—444no—
1495D4—444no—
1496D4—444no—
1497D4—444no—
1498D4—882no—
1499D4—882no—
1500D4—882no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—112no—
1537C2×C4—112no—
1538C2×C4—112no—
1539C2×C4—228no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—444no—
1577C2×C4—444no—
1578C2×C4—444no—
1579C2×C4—444no—
1580C2×C4—444no—
1581C2×C4—444no—
1582C2×C4—882no—
1583C2×C4—882no—
1584C2×C4C2×D4×D1112yes—
1585C2×C4C2×D4×D1112yes—
1586C2×C4C2×D4×D1112yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—222no—
1609C22—222no—
1610C22—222no—
1611C22—222no—
1612C22—222no—
1613C22—222no—
1614C22—222no—
1615C22—222no—
1616C22—222no—
1617C22—4416no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22—441no—
1622C22—441no—
1623C22—441no—
1624C22—441no—
1625C22—441no—
1626C22—441no—
1627C22—441no—
1628C22—441no—
1629C22—441no—
1630C22C22×D4×D1111yescharacteristic
1631C22C2×#6704211yescharacteristic
1632C22#1062345311yescharacteristic
1633C22D11×H(5,𝔽2)11yescharacteristic
1634C22#1062345511yescharacteristic
1635C22#1062345511yescharacteristic
1636C22D11×2−1+411yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—222no—
1650C4—222no—
1651C4—222no—
1652C4—441no—
1653C4—441no—
1654C4—441no—
1655C4—441no—
1656C4—441no—
1657C4—441no—
1658C4—441no—
1659C4—441no—
1660C4—441no—
1661C4—441no—
1662C2—42no—
1663C2—81no—
1664C2—81no—
1665C2—442no—
1666C2—442no—
1667C2—442no—
1668C2#1308194711yescharacteristic
1669C2#1308224611yescharacteristic
1670C2#1308229511yescharacteristic
1671C2#1308278811yescharacteristic
1672C2#1308282311yescharacteristic
1673C2#1308288711yescharacteristic
1674C2#1308289811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2696C2
hypercenter#2696D11
hypocenterC11#36712
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2696

Complements

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

NH ≅ G/Ntype
1. C2×#10623174C2semidirect
2. C2×#10623187C2semidirect
3. #13076907C2semidirect
4. #13076904C2semidirect
5. #13075151C2semidirect
6. #13075106C2semidirect
7. #13075099C2semidirect
8. #13075060C2semidirect
9. #13075027C2semidirect
10. #13075002C2semidirect
11. #13074999C2semidirect
12. #13074929C2semidirect
13. #13074924C2semidirect
14. #13074897C2semidirect
15. #13074894C2semidirect
16. #13074871C2semidirect
17. #13074853C2semidirect
18. #13074841C2semidirect
19. #13074822C2semidirect
20. #13074538C2semidirect
21. #13074460C2semidirect
22. #13074290C2semidirect
23. #13074235C2semidirect
24. #13074186C2semidirect
25. #13074178C2semidirect
26. #13073969C2semidirect
27. #13073799C2semidirect
28. #13072246C2semidirect
29. #13072219C2semidirect
30. #13071248C2semidirect
31. C11×#2696C2semidirect
35. C2×C11×C22⋊Q8C22semidirect
37. C2×Q8×Dic11C22semidirect
39. C2×#66991C22semidirect
45. C2×#66979C22semidirect
50. C2×#66951C22semidirect
53. C2×#66950C22semidirect
58. C2×#66941C22semidirect
60. C2×#66938C22semidirect
65. C2×#66936C22semidirect
70. C2×#66922C22semidirect
71. C11×#400C22semidirect
72. C11×#397C22semidirect
73. C11×#394C22semidirect
75. C11×#393C22semidirect
78. C11×#388C22semidirect
79. C11×#387C22semidirect
82. C11×#386C22semidirect
85. #10622842C22semidirect
91. #10622833C22semidirect
94. #10622823C22semidirect
96. #10622602C22semidirect
99. #10622596C22semidirect
100. #10622594C22semidirect
101. #10622593C22semidirect
102. #10622592C22semidirect
103. #10622587C22semidirect
104. #10622585C22semidirect
109. #10622574C22semidirect
110. #10622574C22semidirect
115. #10622572C22semidirect
122. #10622569C22semidirect
130. #10622563C22semidirect
131. #10622563C22semidirect
132. #10622563C22semidirect
133. #10622562C22semidirect
134. #10622562C22semidirect
136. #10622561C22semidirect
137. #10622561C22semidirect
138. #10622561C22semidirect
139. #10622560C22semidirect
140. #10622560C22semidirect
143. #10622558C22semidirect
145. #10622557C22semidirect
148. C4×(C2×D11)⋊C4C22semidirect
151. #10622288C22semidirect
164. #10622281C22semidirect
165. #10622280C22semidirect
166. #10622280C22semidirect
173. D11×#95C22semidirect
174. #10622274C22semidirect
175. #10622273C22semidirect
176. #10622270C22semidirect
177. #10622269C22semidirect
178. #10622269C22semidirect
179. #10622268C22semidirect
180. #10622268C22semidirect
181. #10622268C22semidirect
182. #10622267C22semidirect
183. #10622267C22semidirect
184. #10622266C22semidirect
185. #10622264C22semidirect
186. #10622263C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
335. #66946D4semidirect
602. #2696D11semidirect
804. C2×C22⋊Q8C2×D11semidirect
821. #400C2×D11semidirect
835. #397C2×D11semidirect
857. #394C2×D11semidirect
863. #393C2×D11semidirect
885. #388C2×D11semidirect
893. #387C2×D11semidirect
907. #386C2×D11semidirect
1434. C11#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#106231742
C2×#106231872
#130769072
#130769042
#130751512
#130751062
#130750992
#130750602
#130750272
#130750022
#130749992
#130749292
#130749242
#130748972
#130748942
#130748712
#130748532
#130748412
#130748222
#130745382
#130744602
#130742902
#130742352
#130741862
#130741782
#130739692
#130737992
#130722462
#130722192
#130712482
C11×#26962
#3671211