Finite Group Databasebeta

← #14961183

Subgroups — #14961183

Order 2816.

2262 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623165C211yesmaximal, characteristic, complemented
2C2×#10623144C211yesmaximal, characteristic
3#13076967C211yesmaximal, characteristic, complemented
4#13076916C211yesmaximal, characteristic, complemented
5#13075221C211yesmaximal, characteristic, complemented
6#13075218C211yesmaximal, characteristic, complemented
7#13075186C211yesmaximal, characteristic, complemented
8#13075183C211yesmaximal, characteristic, complemented
9#13075065C211yesmaximal, characteristic, complemented
10#13075064C211yesmaximal, characteristic, complemented
11#13075043C211yesmaximal, characteristic, complemented
12#13075040C211yesmaximal, characteristic, complemented
13#13074965C211yesmaximal, characteristic, complemented
14#13074955C211yesmaximal, characteristic, complemented
15#13074953C211yesmaximal, characteristic, complemented
16#13074904C211yesmaximal, characteristic, complemented
17#13074899C211yesmaximal, characteristic, complemented
18#13074861C211yesmaximal, characteristic, complemented
19#13074860C211yesmaximal, characteristic, complemented
20#13074731C211yesmaximal, characteristic, complemented
21#13074547C211yesmaximal, characteristic, complemented
22#13073801C211yesmaximal, characteristic, complemented
23#13073793C211yesmaximal, characteristic, complemented
24#13072063C211yesmaximal, characteristic, complemented
25#13072060C211yesmaximal, characteristic, complemented
26#13072015C211yesmaximal, characteristic, complemented
27#13072008C211yesmaximal, characteristic, complemented
28#13072007C211yesmaximal, characteristic, complemented
29#13072007C211yesmaximal, characteristic, complemented
30D11×#388C211yesmaximal, characteristic, complemented
31C11×#2681C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic, complemented
35C2×C11×#121C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×#66999C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66991C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×#66990C2211yescharacteristic
42C2×#66989C2211yescharacteristic
43C2×#66989C2211yescharacteristic, complemented
44C2×#66988C2211yescharacteristic
45C2×#66988C2211yescharacteristic
46C2×#66982C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C22×(C2×D11)⋊C4C2211yescharacteristic
49C2×#66977C2211yescharacteristic
50#10623165—28no—
51#10623144—28no—
52C2×#66951C2211yescharacteristic
53C2×#66950C2211yescharacteristic
54C2×#66950C2211yescharacteristic
55C2×#66949C2211yescharacteristic
56C2×#66949C2211yescharacteristic
57C2×#66949C2211yescharacteristic
58C2×#66949C2211yescharacteristic
59C2×#66949C2211yescharacteristic
60C2×C4⋊C4×D11C2211yescharacteristic
61C2×#66941C2211yescharacteristic, complemented
62C2×#66938C2211yescharacteristic
63C2×#66936C2211yescharacteristic
64C2×#66936C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic
66C2×C22⋊C4×D11C2211yescharacteristic
67C2×C22⋊C4×D11C2211yescharacteristic
68C2×C22⋊C4×D11C2211yescharacteristic
69C2×C22⋊C4×D11C2211yescharacteristic
70C2×#66932C2211yescharacteristic
71C2×#66931C2211yescharacteristic
72C2×#66931C2211yescharacteristic
73C2×#66931C2211yescharacteristic, complemented
74C2×C42×D11C2211yescharacteristic
75C11×#398C2211yescharacteristic, complemented
76C11×#396C2211yescharacteristic, complemented
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic
79C11×#394C2211yescharacteristic, complemented
80C11×#393C2211yescharacteristic, complemented
81C11×#390C2211yescharacteristic, complemented
82C11×#389C2211yescharacteristic, complemented
83C11×#388C2211yescharacteristic
84C11×#386C2211yescharacteristic
85C11×#385C2211yescharacteristic, complemented
86#10622843C2211yescharacteristic, complemented
87#10622842C2211yescharacteristic, complemented
88#10622835C2211yescharacteristic
89#10622835C2211yescharacteristic
90#10622835C2211yescharacteristic, complemented
91#10622833C2211yescharacteristic
92#10622825C2211yescharacteristic, complemented
93#10622824C2211yescharacteristic
94#10622823C2211yescharacteristic
95#10622823C2211yescharacteristic, complemented
96#10622606C2211yescharacteristic
97#10622606C2211yescharacteristic
98#10622603C2211yescharacteristic
99#10622602C2211yescharacteristic
100#10622602C2211yescharacteristic
101#10622600C2211yescharacteristic
102#10622600C2211yescharacteristic
103#10622600C2211yescharacteristic
104#10622600C2211yescharacteristic
105#10622599C2211yescharacteristic, complemented
106#10622598C2211yescharacteristic, complemented
107#10622597C2211yescharacteristic, complemented
108#10622597C2211yescharacteristic, complemented
109#10622597C2211yescharacteristic, complemented
110#10622596C2211yescharacteristic, complemented
111#10622593C2211yescharacteristic, complemented
112#10622593C2211yescharacteristic, complemented
113#10622593C2211yescharacteristic, complemented
114#10622592C2211yescharacteristic, complemented
115#10622592C2211yescharacteristic, complemented
116#10622591C2211yescharacteristic, complemented
117#10622590C2211yescharacteristic, complemented
118#10622589C2211yescharacteristic, complemented
119#10622585C2211yescharacteristic, complemented
120#10622585C2211yescharacteristic, complemented
121#10622585C2211yescharacteristic, complemented
122#10622574C2211yescharacteristic
123#10622574C2211yescharacteristic
124#10622572C2211yescharacteristic
125#10622572C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622569C2211yescharacteristic
130#10622569C2211yescharacteristic
131#10622569C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622569C2211yescharacteristic
134#10622569C2211yescharacteristic
135#10622569C2211yescharacteristic
136#10622566C2211yescharacteristic
137#10622566C2211yescharacteristic
138#10622565C2211yescharacteristic
139#10622565C2211yescharacteristic
140#10622565C2211yescharacteristic, complemented
141#10622565C2211yescharacteristic, complemented
142#10622564C2211yescharacteristic
143#10622564C2211yescharacteristic, complemented
144#10622564C2211yescharacteristic, complemented
145#10622564C2211yescharacteristic, complemented
146#10622564C2211yescharacteristic, complemented
147#10622563C2211yescharacteristic
148#10622562C2211yescharacteristic, complemented
149#10622562C2211yescharacteristic, complemented
150#10622561C2211yescharacteristic, complemented
151#10622561C2211yescharacteristic, complemented
152#10622561C2211yescharacteristic, complemented
153#10622560C2211yescharacteristic, complemented
154#10622560C2211yescharacteristic, complemented
155#10622560C2211yescharacteristic, complemented
156#10622559C2211yescharacteristic, complemented
157#10622559C2211yescharacteristic, complemented
158#10622558C2211yescharacteristic
159#10622557C2211yescharacteristic
160#10622556C2211yescharacteristic
161#10622555C2211yescharacteristic, complemented
162#10622553C2211yescharacteristic
163#10622542C2211yescharacteristic, complemented
164#10622541C2211yescharacteristic, complemented
165#10622288C2211yescharacteristic
166#10622288C2211yescharacteristic
167#10622283C2211yescharacteristic
168#10622282C2211yescharacteristic
169#10622280C2211yescharacteristic
170#10622280C2211yescharacteristic
171#10622280C2211yescharacteristic
172#10622280C2211yescharacteristic
173#10622277C2211yescharacteristic
174#10622277C2211yescharacteristic
175D11×#95C2211yescharacteristic
176D11×#95C2211yescharacteristic
177#10622272C2211yescharacteristic, complemented
178#10622272C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622269C2211yescharacteristic, complemented
181#10622269C2211yescharacteristic, complemented
182#10622269C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, 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
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C11×#123—42no—
215C11×C22⋊Q8—24no—
216C11×C22⋊Q8—42no—
217C11×#121—24no—
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊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×C42×C11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
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#66999—24no—
259#66999—24no—
260#66992—24no—
261#66991—24no—
262#66990—24no—
263#66990—24no—
264#66989—24no—
265#66989—42no—
266#66988—24no—
267#66988—42no—
268#66982—24no—
269C4×C22⋊D11—24no—
270C2×(C2×D11)⋊C4—24no—
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×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296#66977—24no—
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322#66951—24no—
323#66950—24no—
324#66950—24no—
325#66949—24no—
326#66949—24no—
327#66949—24no—
328#66949—24no—
329#66949—24no—
330C4⋊C4×D11—42no—
331#66941—42no—
332#66938—24no—
333#66936—42no—
334#66936—42no—
335(C22⋊D11)⋊C4—24no—
336C22⋊C4×D11—24no—
337C22⋊C4×D11—42no—
338C22⋊C4×D11—42no—
339C22⋊C4×D11D418yes—
340#66932—24no—
341#66931—24no—
342#66931—24no—
343#66931—42no—
344C42×D11—42no—
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
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#36740—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11C2×D414yes—
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C2×Q8×C11—22no—
399C2×Q8×C11—41no—
400C2×Q8×C11—41no—
401C2×D4×C11—22no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11C2411yescharacteristic
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
428C2×C22⋊D11—22no—
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—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11—41no—
443C22×Dic11—41no—
444C22×Dic11—41no—
445C22×Dic11—41no—
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11C2×D414yes—
483C2×C4×D11C2×D414yes—
484C2×Dic22—22no—
485C2×Dic22—22no—
486C2×Dic22—22no—
487C2×Dic22—22no—
488C2×Dic22—41no—
489C2×Dic22—41no—
490C2×Dic22—41no—
491C2×Dic22—41no—
492C2×Dic22—41no—
493C2×Dic22—41no—
494C2×Dic22—41no—
495C2×Dic22—41no—
496C11×C4⋊C4—22no—
497C11×C4⋊C4—22no—
498C11×C4⋊C4—22no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—41no—
503C11×C4⋊C4—41no—
504C11×C4⋊C4—41no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—41no—
511C11×C22⋊C4—41no—
512C11×C22⋊C4—41no—
513C11×C22⋊C4—41no—
514C11×C22⋊C4—41no—
515C11×C22⋊C4—41no—
516C11×C22⋊C4—41no—
517C11×C22⋊C4C2×D414yes—
518C42×C11—41no—
519C22⋊Dic11—22no—
520C22⋊Dic11—22no—
521C22⋊Dic11—22no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—22no—
526C22⋊Dic11—22no—
527C22⋊Dic11—22no—
528C22⋊Dic11—41no—
529C22⋊Dic11—41no—
530C22⋊Dic11—41no—
531C22⋊Dic11—41no—
532C22⋊Dic11—41no—
533C22⋊Dic11—41no—
534C22⋊Dic11—41no—
535C22⋊Dic11C2×D414yes—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
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—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4C2×D414yes—
551(C2×D11)⋊C4C2×D414yes—
552C4⋊Dic11—22no—
553C4⋊Dic11—22no—
554C4⋊Dic11—22no—
555C4⋊Dic11—22no—
556C4⋊Dic11—22no—
557C4⋊Dic11—41no—
558C4⋊Dic11—41no—
559C4⋊Dic11—41no—
560C4⋊Dic11—41no—
561Dic11⋊C4—22no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—41no—
575Dic11⋊C4—41no—
576Dic11⋊C4—41no—
577Dic11⋊C4—41no—
578Dic11⋊C4—41no—
579Dic11⋊C4—41no—
580Dic11⋊C4—41no—
581C4×Dic11—22no—
582C4×Dic11—22no—
583C4×Dic11—22no—
584C4×Dic11—22no—
585C4×Dic11—41no—
586C2×#543—111no—
587C2×#538—111no—
588#2857—111no—
589#2850—111no—
590#2700—111no—
591#2700—111no—
592#2698—111no—
593#2698—111no—
594#2689—111no—
595#2689—111no—
596#2687—111no—
597#2687—111no—
598#2681—111no—
599#2681D1111yescharacteristic, complemented
600#2680—111no—
601#2680—111no—
602#2674—111no—
603#2674—111no—
604#2672—111no—
605#2672—111no—
606#2659—111no—
607#2639—111no—
608#2564—111no—
609#2564—111no—
610#2417—111no—
611#2417—111no—
612#2412—111no—
613#2412—111no—
614#2412—111no—
615#2412—111no—
616C2×#388—111no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
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×C11C22×D412yes—
638C23×C11C2511yescharacteristic
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—28no—
650C22×D11—44no—
651C22×D11—44no—
652C22×D11—82no—
653C22×D11—82no—
654C22×D11—82no—
655C22×D11—82no—
656C22×D11C22×D412yes—
657C22×D11C22×D412yes—
658C22×D112−1+412yes—
659C22×D112−1+412yes—
660Q8×C11—82no—
661D4×C11—82no—
662D4×C11—82no—
663D4×C11—82no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
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—82no—
698C2×C4×C11—82no—
699C2×C4×C11C22×D412yes—
700C2×C4×C11C22×D412yes—
701C2×C4×C11H(5,𝔽2)12yes—
702C22⋊D11—44no—
703C22⋊D11—44no—
704C22⋊D11—82no—
705C22⋊D11—82no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
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—82no—
746C2×Dic11—82no—
747C2×Dic11C22×D412yes—
748C2×Dic11C22×D412yes—
749C2×Dic11H(5,𝔽2)12yes—
750C4×D11—44no—
751C4×D11—44no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—82no—
755C4×D11—82no—
756C4×D11—82no—
757C4×D11—82no—
758Dic22—82no—
759Dic22—82no—
760Dic22—82no—
761Dic22—82no—
762#543—228no—
763#538—228no—
764C2×C4⋊Q8—111no—
765C2×#126—111no—
766C2×#126—111no—
767C2×#124—111no—
768C2×#124—111no—
769C2×#124—111no—
770C2×#123—111no—
771C2×#123—111no—
772C2×#123—111no—
773C2×#123—111no—
774C2×#123—111no—
775C2×#123C2×D1111yescharacteristic
776C2×C22⋊Q8—111no—
777C2×C22⋊Q8—111no—
778C2×C22⋊Q8—111no—
779C2×C22⋊Q8—111no—
780C2×C22⋊Q8—111no—
781C2×C22⋊Q8—111no—
782C2×C22⋊Q8—111no—
783C2×C22⋊Q8—111no—
784C2×C22⋊Q8—111no—
785C2×C22⋊Q8—111no—
786C2×C22⋊Q8—111no—
787C2×C22⋊Q8—111no—
788C2×C22⋊Q8—111no—
789C2×C22⋊Q8C2×D1111yescharacteristic
790C2×C22⋊Q8C2×D1111yescharacteristic, complemented
791C2×#121—111no—
792C2×#121—111no—
793C2×#121C2×D1111yescharacteristic
794C2×#120—111no—
795C2×#120—111no—
796C2×C4×D4—111no—
797C2×C4×D4—111no—
798C22×C4⋊C4—111no—
799C22×C22⋊C4—111no—
800C22×C22⋊C4—111no—
801C22×C22⋊C4—111no—
802C22×C22⋊C4—111no—
803C22×C22⋊C4—111no—
804C22×C42—111no—
805#400—111no—
806#400—111no—
807#400—111no—
808#400—111no—
809#399—111no—
810#399—111no—
811#398—111no—
812#398—111no—
813#398—111no—
814#398—111no—
815#398—111no—
816#398—111no—
817#398—111no—
818#398C2×D1111yescharacteristic, complemented
819#397—111no—
820#397—111no—
821#397—111no—
822#397—111no—
823#397—111no—
824#397—111no—
825#397—111no—
826#397—111no—
827#397—111no—
828#397—111no—
829#396—111no—
830#396—111no—
831#396—111no—
832#396C2×D1111yescharacteristic, complemented
833#395—111no—
834#395—111no—
835#395—111no—
836#395—111no—
837#395—111no—
838#395—111no—
839#394—111no—
840#394—111no—
841#394—111no—
842#394—111no—
843#394—111no—
844#394—111no—
845#394—111no—
846#394C2×D1111yescharacteristic
847#394C2×D1111yescharacteristic
848#394C2×D1111yescharacteristic, complemented
849#393—111no—
850#393—111no—
851#393—111no—
852#393C2×D1111yescharacteristic, complemented
853#391—111no—
854#391—111no—
855#391—111no—
856#391—111no—
857#391—111no—
858#390C2×D1111yescharacteristic, complemented
859#389—111no—
860#389—111no—
861#389—111no—
862#389—111no—
863#389—111no—
864#389C2×D1111yescharacteristic, complemented
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388C2×D1111yescharacteristic
877#387—111no—
878#387—111no—
879#387—111no—
880#387—111no—
881#386—111no—
882#386—111no—
883#386—111no—
884#386—111no—
885#386—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386C2×D1111yescharacteristic
893#385—111no—
894#385—111no—
895#385—111no—
896#385—111no—
897#385—111no—
898#385—111no—
899#385—111no—
900#385C2×D1111yescharacteristic, complemented
901#384—111no—
902#382—111no—
903#381—111no—
904#381—111no—
905#381—111no—
906#381—111no—
907#380—111no—
908#380—111no—
909#380—111no—
910#380—111no—
911#380—111no—
912#380—111no—
913#380—111no—
914#380—111no—
915#380—111no—
916#380—111no—
917C2×#95—111no—
918C2×#95—111no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11C23×D411yescharacteristic
941C22×C11C2×H(5,𝔽2)11yescharacteristic
942C22×C11C2×H(5,𝔽2)11yescharacteristic
943C22×C11C2×2−1+411yescharacteristic
944C22×C11C2×2−1+411yescharacteristic
945C22×C11#58511yescharacteristic
946C22×C11#58511yescharacteristic
947C2×D11—22no—
948C2×D11—22no—
949C2×D11—22no—
950C2×D11—22no—
951C2×D11—22no—
952C2×D11—22no—
953C2×D11—22no—
954C2×D11—22no—
955C2×D11—22no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—88no—
961C2×D11#53614yes—
962C4×C11—22no—
963C4×C11—22no—
964C4×C11—22no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974Dic11—22no—
975Dic11—22no—
976Dic11—22no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988C25—111no—
989C22×Q8—111no—
990C22×Q8—111no—
991C22×Q8—111no—
992C22×Q8—111no—
993C22×Q8C22×D1111yescharacteristic
994C22×D4—111no—
995C22×D4—111no—
996C22×D4—111no—
997C22×D4—111no—
998C22×D4C22×D1111yescharacteristic
999C22×D4C22×D1111yescharacteristic
1000C22×D4C22×D1111yescharacteristic
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4C22×D1111yescharacteristic
1012C23×C4C22×D1111yescharacteristic
1013C4⋊Q8—442no—
1014#126—224no—
1015#126—224no—
1016#124—224no—
1017#124—224no—
1018#124—442no—
1019#123—42no—
1020#123—224no—
1021#123—224no—
1022#123—442no—
1023#123—442no—
1024#123—442no—
1025C22⋊Q8—24no—
1026C22⋊Q8—42no—
1027C22⋊Q8—224no—
1028C22⋊Q8—224no—
1029C22⋊Q8—224no—
1030C22⋊Q8—224no—
1031C22⋊Q8—224no—
1032C22⋊Q8—224no—
1033C22⋊Q8—224no—
1034C22⋊Q8—224no—
1035C22⋊Q8—224no—
1036C22⋊Q8—224no—
1037C22⋊Q8—224no—
1038C22⋊Q8—224no—
1039C22⋊Q8—442no—
1040#121—24no—
1041#121—224no—
1042#121—224no—
1043#120—224no—
1044#120—224no—
1045C4×D4—224no—
1046C4×D4—224no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—442no—
1077C2×C4⋊C4C22×D1111yescharacteristic
1078C2×C4⋊C4C22×D1111yescharacteristic
1079C2×C4⋊C4C22×D1111yescharacteristic
1080C2×C4⋊C4C22×D1111yescharacteristic
1081C2×C4⋊C4C22×D1111yescharacteristic
1082C2×C4⋊C4C22×D1111yescharacteristic
1083C2×C4⋊C4C22×D1111yescharacteristic
1084C2×C4⋊C4C22×D1111yescharacteristic
1085C2×C4⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—118no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
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—224no—
1121C2×C22⋊C4—224no—
1122C2×C22⋊C4—442no—
1123C2×C22⋊C4—442no—
1124C2×C22⋊C4C22×D1111yescharacteristic
1125C2×C22⋊C4C22×D1111yescharacteristic
1126C2×C22⋊C4C22×D1111yescharacteristic
1127C2×C22⋊C4C22×D1111yescharacteristic
1128C2×C22⋊C4C22×D1111yescharacteristic
1129C2×C22⋊C4C22×D1111yescharacteristic
1130C2×C22⋊C4C22×D1111yescharacteristic
1131C2×C22⋊C4C22×D1111yescharacteristic
1132C2×C22⋊C4C22×D1111yescharacteristic
1133C2×C22⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4C22×D1111yescharacteristic
1135C2×C22⋊C4C22×D1111yescharacteristic
1136C2×C22⋊C4C22×D1111yescharacteristic
1137C2×C42—111no—
1138C2×C42—111no—
1139C2×C42—111no—
1140C2×C42—111no—
1141C2×C42—111no—
1142C2×C42—442no—
1143C2×C42C22×D1111yescharacteristic
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95C22×D1111yescharacteristic
1179#95C22×D1111yescharacteristic
1180#95C22×D1111yescharacteristic
1181#95C22×D1111yescharacteristic
1182#95C22×D1111yescharacteristic
1183#95C22×D1111yescharacteristic
1184C2×C11—42no—
1185C2×C11—81no—
1186C2×C11—81no—
1187C2×C11C2×#53611yescharacteristic
1188C2×C11#349611yescharacteristic
1189C2×C11#349611yescharacteristic
1190C2×C11#353511yescharacteristic
1191C2×C11#353611yescharacteristic
1192C2×C11#356111yescharacteristic
1193C2×C11#356411yescharacteristic
1194D11—24no—
1195D11—42no—
1196C24—111no—
1197C24—111no—
1198C24—114no—
1199C24—222no—
1200C24—222no—
1201C24—441no—
1202C24—441no—
1203C24—441no—
1204C24—441no—
1205C24C23×D1111yescharacteristic
1206C24C23×D1111yescharacteristic
1207C24C23×D1111yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—41no—
1210C2×Q8—41no—
1211C2×Q8—222no—
1212C2×Q8—222no—
1213C2×Q8—222no—
1214C2×Q8—222no—
1215C2×Q8—441no—
1216C2×Q8—441no—
1217C2×Q8—441no—
1218C2×Q8—441no—
1219C2×Q8—441no—
1220C2×Q8—441no—
1221C2×Q8—441no—
1222C2×Q8—441no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—222no—
1233C2×D4—222no—
1234C2×D4—222no—
1235C2×D4—222no—
1236C2×D4—222no—
1237C2×D4—222no—
1238C2×D4—222no—
1239C2×D4—222no—
1240C2×D4—441no—
1241C2×D4—441no—
1242C2×D4—441no—
1243C2×D4—441no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—114no—
1254C22×C4—114no—
1255C22×C4—111no—
1256C22×C4—111no—
1257C22×C4—111no—
1258C22×C4—111no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—111no—
1264C22×C4—111no—
1265C22×C4—111no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—222no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4—441no—
1293C22×C4—441no—
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C22×C4C23×D1111yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—222no—
1323C4⋊C4—222no—
1324C4⋊C4—222no—
1325C4⋊C4—222no—
1326C4⋊C4—222no—
1327C4⋊C4—222no—
1328C4⋊C4—222no—
1329C4⋊C4—222no—
1330C4⋊C4—222no—
1331C4⋊C4—222no—
1332C4⋊C4—222no—
1333C4⋊C4—441no—
1334C4⋊C4—441no—
1335C4⋊C4—441no—
1336C4⋊C4—441no—
1337C4⋊C4—441no—
1338C4⋊C4—441no—
1339C4⋊C4—441no—
1340C4⋊C4—441no—
1341C4⋊C4—441no—
1342C4⋊C4—441no—
1343C4⋊C4—441no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—114no—
1357C22⋊C4—114no—
1358C22⋊C4—114no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—222no—
1362C22⋊C4—222no—
1363C22⋊C4—222no—
1364C22⋊C4—222no—
1365C22⋊C4—222no—
1366C22⋊C4—222no—
1367C22⋊C4—222no—
1368C22⋊C4—222no—
1369C22⋊C4—222no—
1370C22⋊C4—222no—
1371C22⋊C4—222no—
1372C22⋊C4—222no—
1373C22⋊C4—222no—
1374C22⋊C4—222no—
1375C22⋊C4—222no—
1376C22⋊C4—222no—
1377C22⋊C4—222no—
1378C22⋊C4—222no—
1379C22⋊C4—222no—
1380C22⋊C4—441no—
1381C22⋊C4—441no—
1382C22⋊C4—441no—
1383C22⋊C4—441no—
1384C22⋊C4—441no—
1385C22⋊C4—441no—
1386C22⋊C4—441no—
1387C22⋊C4—441no—
1388C22⋊C4—441no—
1389C22⋊C4D4×D1114yes—
1390C42—41no—
1391C42—222no—
1392C42—222no—
1393C42—222no—
1394C42—222no—
1395C42—441no—
1396C11#3674011yescharacteristic, complemented, Sylow
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—112no—
1418C23—112no—
1419C23—112no—
1420C23—112no—
1421C23—228no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—444no—
1433C23—444no—
1434C23—882no—
1435C23—882no—
1436C23—882no—
1437C23—882no—
1438C23C2×D4×D1112yes—
1439C23C24×D1111yescharacteristic
1440Q8—82no—
1441Q8—882no—
1442Q8—882no—
1443Q8—882no—
1444Q8—882no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—444no—
1449D4—444no—
1450D4—882no—
1451D4—882no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—82no—
1486C2×C4—82no—
1487C2×C4—112no—
1488C2×C4—112no—
1489C2×C4—112no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—444no—
1530C2×C4—444no—
1531C2×C4—444no—
1532C2×C4—444no—
1533C2×C4—882no—
1534C2×C4—882no—
1535C2×C4—882no—
1536C2×C4—882no—
1537C2×C4—882no—
1538C2×C4—882no—
1539C2×C4C2×D4×D1112yes—
1540C2×C4C2×D4×D1112yes—
1541C2×C4#6703712yes—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—114no—
1564C22—222no—
1565C22—222no—
1566C22—222no—
1567C22—222no—
1568C22—222no—
1569C22—222no—
1570C22—222no—
1571C22—222no—
1572C22—222no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—888no—
1578C22C22×D4×D1111yescharacteristic
1579C22C2×#6703711yescharacteristic
1580C22#1062345311yescharacteristic
1581C22D11×H(5,𝔽2)11yescharacteristic
1582C22#1062345511yescharacteristic
1583C22D11×2−1+411yescharacteristic
1584C22D11×2−1+411yescharacteristic
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—222no—
1598C4—222no—
1599C4—222no—
1600C4—441no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4—441no—
1605C4—441no—
1606C4—441no—
1607C4—441no—
1608C4—441no—
1609C4—441no—
1610C4—441no—
1611C2—42no—
1612C2—81no—
1613C2—81no—
1614C2—224no—
1615C2—442no—
1616C2D11×#53611yescharacteristic
1617C2#1308237211yescharacteristic
1618C2#1308237611yescharacteristic
1619C2#1308281611yescharacteristic
1620C2#1308283311yescharacteristic
1621C2#1308317911yescharacteristic
1622C2#1308323311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2681C2
prime radicalC2×#10623144C2
hypercenter#2681D11
hypocenterC11#36740
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2681

Complements

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

NH ≅ G/Ntype
1. C2×#10623165C2semidirect
3. #13076967C2semidirect
4. #13076916C2semidirect
5. #13075221C2semidirect
6. #13075218C2semidirect
7. #13075186C2semidirect
8. #13075183C2semidirect
9. #13075065C2semidirect
10. #13075064C2semidirect
11. #13075043C2semidirect
12. #13075040C2semidirect
13. #13074965C2semidirect
14. #13074955C2semidirect
15. #13074953C2semidirect
16. #13074904C2semidirect
17. #13074899C2semidirect
18. #13074861C2semidirect
19. #13074860C2semidirect
20. #13074731C2semidirect
21. #13074547C2semidirect
22. #13073801C2semidirect
23. #13073793C2semidirect
24. #13072063C2semidirect
25. #13072060C2semidirect
26. #13072015C2semidirect
27. #13072008C2semidirect
28. #13072007C2semidirect
29. #13072007C2semidirect
30. D11×#388C2semidirect
31. C11×#2681C2semidirect
34. C2×C11×C22⋊Q8C22semidirect
43. C2×#66989C22semidirect
61. C2×#66941C22semidirect
73. C2×#66931C22semidirect
75. C11×#398C22semidirect
76. C11×#396C22semidirect
79. C11×#394C22semidirect
80. C11×#393C22semidirect
81. C11×#390C22semidirect
82. C11×#389C22semidirect
85. C11×#385C22semidirect
86. #10622843C22semidirect
87. #10622842C22semidirect
90. #10622835C22semidirect
92. #10622825C22semidirect
95. #10622823C22semidirect
105. #10622599C22semidirect
106. #10622598C22semidirect
107. #10622597C22semidirect
108. #10622597C22semidirect
109. #10622597C22semidirect
110. #10622596C22semidirect
111. #10622593C22semidirect
112. #10622593C22semidirect
113. #10622593C22semidirect
114. #10622592C22semidirect
115. #10622592C22semidirect
116. #10622591C22semidirect
117. #10622590C22semidirect
118. #10622589C22semidirect
119. #10622585C22semidirect
120. #10622585C22semidirect
121. #10622585C22semidirect
140. #10622565C22semidirect
141. #10622565C22semidirect
143. #10622564C22semidirect
144. #10622564C22semidirect
145. #10622564C22semidirect
146. #10622564C22semidirect
148. #10622562C22semidirect
149. #10622562C22semidirect
150. #10622561C22semidirect
151. #10622561C22semidirect
152. #10622561C22semidirect
153. #10622560C22semidirect
154. #10622560C22semidirect
155. #10622560C22semidirect
156. #10622559C22semidirect
157. #10622559C22semidirect
161. #10622555C22semidirect
163. #10622542C22semidirect
164. #10622541C22semidirect
177. #10622272C22semidirect
178. #10622272C22semidirect
179. #10622271C22semidirect
180. #10622269C22semidirect
181. #10622269C22semidirect
182. #10622269C22semidirect
183. #10622266C22semidirect
184. #10622265C22semidirect
185. #10622265C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
599. #2681D11semidirect
790. C2×C22⋊Q8C2×D11semidirect
818. #398C2×D11semidirect
832. #396C2×D11semidirect
848. #394C2×D11semidirect
852. #393C2×D11semidirect
858. #390C2×D11semidirect
864. #389C2×D11semidirect
900. #385C2×D11semidirect
1396. C11#36740semidirect

Maximal subgroups

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

subgroupindex
C2×#106231652
C2×#106231442
#130769672
#130769162
#130752212
#130752182
#130751862
#130751832
#130750652
#130750642
#130750432
#130750402
#130749652
#130749552
#130749532
#130749042
#130748992
#130748612
#130748602
#130747312
#130745472
#130738012
#130737932
#130720632
#130720602
#130720152
#130720082
#130720072
D11×#3882
C11×#26812
#3674011