Finite Group Databasebeta

← #14925998

Subgroups — #14925998

Order 2816.

1954 conjugacy classes of subgroups.

The subgroup lattice has 1426 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074018C211yesmaximal, characteristic, complemented
2#13074011C211yesmaximal, characteristic, complemented
3#13073879C211yesmaximal, characteristic, complemented
4#13073874C211yesmaximal, characteristic, complemented
5#13073705C211yesmaximal, characteristic, complemented
6#13073698C211yesmaximal, characteristic, complemented
7#13073665C211yesmaximal, characteristic, complemented
8#13073660C211yesmaximal, characteristic, complemented
9#13073346C211yesmaximal, characteristic, complemented
10#13073262C211yesmaximal, characteristic, complemented
11#13072658C211yesmaximal, characteristic, complemented
12#13072649C211yesmaximal, characteristic, complemented
13#13072609C211yesmaximal, characteristic
14#13072573C211yesmaximal, characteristic, complemented
15#13072566C211yesmaximal, characteristic, complemented
16#13072497C211yesmaximal, characteristic
17#13071886C211yesmaximal, characteristic, complemented
18#13071879C211yesmaximal, characteristic, complemented
19#13071877C211yesmaximal, characteristic, complemented
20#13071860C211yesmaximal, characteristic
21C4×#66942C211yesmaximal, characteristic, complemented
22C4×#66942C211yesmaximal, characteristic, complemented
23C4×#66951C211yesmaximal, characteristic, complemented
24C4×#66932C211yesmaximal, characteristic, complemented
25C4×#66999C211yesmaximal, characteristic, complemented
26C4×#66982C211yesmaximal, characteristic, complemented
27C4×#66936C211yesmaximal, characteristic, complemented
28#13071096C211yesmaximal, characteristic, complemented
29C42×C22⋊D11C211yesmaximal, characteristic, complemented
30C4×#66946C211yesmaximal, characteristic, complemented
31C4×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
32C2×C11×C22⋊Q8C2211yescharacteristic
33C2×C4×Q8×C11C2211yescharacteristic
34C22×C42×C11C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×#66982C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×#66951C2211yescharacteristic
42C2×#66946C2211yescharacteristic
43C2×#66946C2211yescharacteristic
44C2×#66942C2211yescharacteristic
45C2×#66942C2211yescharacteristic
46C2×#66936C2211yescharacteristic
47C2×#66932C2211yescharacteristic
48C2×C4×D44C2211yescharacteristic
49C2×#66925C2211yescharacteristic
50C2×#66925C2211yescharacteristic
51C2×C42×D11C2211yescharacteristic
52C2×C42×D11C2211yescharacteristic
53C11×#391C2211yescharacteristic
54C11×#389C2211yescharacteristic
55C11×#387C2211yescharacteristic
56C11×#387C2211yescharacteristic
57C11×#385C2211yescharacteristic
58C11×#385C2211yescharacteristic
59C11×#380C2211yescharacteristic
60C4×C11×C4⋊C4C2211yescharacteristic
61C4×C11×C4⋊C4C2211yescharacteristic
62C4×C11×C4⋊C4C2211yescharacteristic
63C4×C11×C22⋊C4C2211yescharacteristic
64C4×C11×C22⋊C4C2211yescharacteristic
65#10622844C2211yescharacteristic
66#10622843C2211yescharacteristic
67#10622842C2211yescharacteristic
68#10622826C2211yescharacteristic
69#10622824C2211yescharacteristic
70#10622823C2211yescharacteristic
71C4×C22⋊Dic11C2211yescharacteristic
72C4×C22⋊Dic11C2211yescharacteristic
73C4×C22⋊Dic11C2211yescharacteristic
74C4×C22⋊Dic11C2211yescharacteristic
75#10622607C2211yescharacteristic
76#10622607C2211yescharacteristic
77#10622606C2211yescharacteristic
78#10622605C2211yescharacteristic
79#10622605C2211yescharacteristic
80#10622604C2211yescharacteristic
81#10622603C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622600C2211yescharacteristic
87#10622597C2211yescharacteristic
88#10622597C2211yescharacteristic
89#10622597C2211yescharacteristic
90#10622595C2211yescharacteristic
91#10622594C2211yescharacteristic
92#10622594C2211yescharacteristic
93#10622594C2211yescharacteristic
94#10622591C2211yescharacteristic
95#10622591C2211yescharacteristic
96#10622591C2211yescharacteristic
97#10622591C2211yescharacteristic
98#10622591C2211yescharacteristic
99C4⋊C4×Dic11C2211yescharacteristic
100C4⋊C4×Dic11C2211yescharacteristic
101#10622586C2211yescharacteristic
102#10622585C2211yescharacteristic
103#10622585C2211yescharacteristic
104#10622585C2211yescharacteristic
105#10622585C2211yescharacteristic
106#10622574C2211yescharacteristic
107#10622573C2211yescharacteristic
108#10622572C2211yescharacteristic
109#10622572C2211yescharacteristic
110#10622572C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622565C2211yescharacteristic
113#10622564C2211yescharacteristic
114#10622564C2211yescharacteristic
115#10622562C2211yescharacteristic
116#10622561C2211yescharacteristic
117#10622558C2211yescharacteristic
118#10622558C2211yescharacteristic
119#10622557C2211yescharacteristic
120#10622553C2211yescharacteristic
121#10622553C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125C4×(C2×D11)⋊C4C2211yescharacteristic
126C4×(C2×D11)⋊C4C2211yescharacteristic
127C4×(C2×D11)⋊C4C2211yescharacteristic
128C4×(C2×D11)⋊C4C2211yescharacteristic
129C4×(C2×D11)⋊C4C2211yescharacteristic
130C4×C4⋊Dic11C2211yescharacteristic
131C4×C4⋊Dic11C2211yescharacteristic
132C4×C4⋊Dic11C2211yescharacteristic
133#10622546C2211yescharacteristic
134#10622546C2211yescharacteristic
135C4×Dic11⋊C4C2211yescharacteristic
136C4×Dic11⋊C4C2211yescharacteristic
137C4×Dic11⋊C4C2211yescharacteristic
138C4×Dic11⋊C4C2211yescharacteristic
139C4×Dic11⋊C4C2211yescharacteristic
140C4×Dic11⋊C4C2211yescharacteristic
141C4×Dic11⋊C4C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C4×Dic11⋊C4C2211yescharacteristic
144C4×Dic11⋊C4C2211yescharacteristic
145C42×Dic11C2211yescharacteristic
146C42×Dic11C2211yescharacteristic
147#10622289C2211yescharacteristic
148#10622288C2211yescharacteristic
149#10622288C2211yescharacteristic
150#10622288C2211yescharacteristic
151#10622288C2211yescharacteristic
152#10622287C2211yescharacteristic
153#10622285C2211yescharacteristic
154#10622285C2211yescharacteristic
155#10622283C2211yescharacteristic
156#10622282C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622281C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622277C2211yescharacteristic
165#10622273C2211yescharacteristic
166#10622271C2211yescharacteristic
167#10622270C2211yescharacteristic
168#10622270C2211yescharacteristic
169#10622268C2211yescharacteristic
170#10622267C2211yescharacteristic
171#10622267C2211yescharacteristic
172#10622266C2211yescharacteristic
173#10622266C2211yescharacteristic
174#10622266C2211yescharacteristic
175#10622265C2211yescharacteristic
176#10622265C2211yescharacteristic
177#10622265C2211yescharacteristic
178#10622265C2211yescharacteristic
179#10622264C2211yescharacteristic
180#10622264C2211yescharacteristic
181#10622263C2211yescharacteristic
182#10622263C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622260C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C11×C22⋊Q8—24no—
201C4×Q8×C11—42no—
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C42×C11—42no—
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230#66999—24no—
231#66982—24no—
232C4×C22⋊D11—24no—
233C4×C22⋊D11—24no—
234C4×C22⋊D11—24no—
235C4×C22⋊D11—42no—
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
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
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303#66951—24no—
304#66946—24no—
305#66946—24no—
306#66942—24no—
307#66942—24no—
308#66936—24no—
309#66932—24no—
310C4×D44—24no—
311#66925—24no—
312#66925—42no—
313C42×D11—42no—
314C42×D11—42no—
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#34961—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C2×Q8×C11—22no—
368C2×Q8×C11—22no—
369C2×Q8×C11—41no—
370C22×C4×C11—22no—
371C22×C4×C11—22no—
372C22×C4×C11—22no—
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—22no—
376C22×C4×C11—22no—
377C22×C4×C11—41no—
378C22×C4×C11—41no—
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
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
393C2×C22⋊D11—22no—
394C2×C22⋊D11—22no—
395C2×C22⋊D11—22no—
396C2×C22⋊D11—22no—
397C2×C22⋊D11—22no—
398C2×C22⋊D11—41no—
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C2×D44—22no—
414C2×D44—22no—
415C2×D44—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
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—41no—
430C2×C4×D11—41no—
431C2×C4×D11—41no—
432C2×C4×D11—41no—
433C2×C4×D11#4114yes—
434C11×C4⋊C4—22no—
435C11×C4⋊C4—22no—
436C11×C4⋊C4—22no—
437C11×C4⋊C4—22no—
438C11×C4⋊C4—22no—
439C11×C4⋊C4—41no—
440C11×C4⋊C4—41no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4#4114yes—
443C11×C22⋊C4—22no—
444C11×C22⋊C4—22no—
445C11×C22⋊C4—22no—
446C11×C22⋊C4—22no—
447C42×C11—22no—
448C42×C11—22no—
449C42×C11—22no—
450C42×C11—22no—
451C42×C11—22no—
452C42×C11—22no—
453C42×C11—41no—
454C42×C11—41no—
455C22⋊Dic11—22no—
456C22⋊Dic11—22no—
457C22⋊Dic11—22no—
458C22⋊Dic11—22no—
459C22⋊Dic11—41no—
460C22⋊Dic11#4114yes—
461(C2×D11)⋊C4—22no—
462(C2×D11)⋊C4—22no—
463(C2×D11)⋊C4—22no—
464(C2×D11)⋊C4—22no—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—22no—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—22no—
470(C2×D11)⋊C4—22no—
471(C2×D11)⋊C4—22no—
472(C2×D11)⋊C4—22no—
473(C2×D11)⋊C4—22no—
474(C2×D11)⋊C4—22no—
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—41no—
478(C2×D11)⋊C4—41no—
479(C2×D11)⋊C4—41no—
480(C2×D11)⋊C4#4114yes—
481C4⋊Dic11—22no—
482C4⋊Dic11—22no—
483C4⋊Dic11—22no—
484C4⋊Dic11—22no—
485C4⋊Dic11—22no—
486C4⋊Dic11—22no—
487C4⋊Dic11—22no—
488Dic11⋊C4—22no—
489Dic11⋊C4—22no—
490Dic11⋊C4—22no—
491Dic11⋊C4—22no—
492Dic11⋊C4—22no—
493Dic11⋊C4—22no—
494Dic11⋊C4—22no—
495Dic11⋊C4—22no—
496Dic11⋊C4—22no—
497Dic11⋊C4—22no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—22no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—22no—
504Dic11⋊C4—22no—
505Dic11⋊C4—22no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4#4114yes—
510C4×Dic11—22no—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—22no—
514C4×Dic11—22no—
515C4×Dic11—22no—
516C4×Dic11—22no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—22no—
520C4×Dic11—22no—
521C4×Dic11—22no—
522C4×Dic11—22no—
523C4×Dic11—22no—
524C4×Dic11—41no—
525C4×Dic11—41no—
526C4×Dic11—41no—
527C4×Dic11—41no—
528#2585—111no—
529#2585—111no—
530#2573—111no—
531#2573—111no—
532#2556—111no—
533#2556—111no—
534#2553—111no—
535#2553—111no—
536#2523—111no—
537#2517—111no—
538#2466—111no—
539#2466—111no—
540#2463—111no—
541#2460—111no—
542#2460—111no—
543#2455—111no—
544#2396—111no—
545#2395—111no—
546#2395—111no—
547#2392—111no—
548C4×#125—111no—
549C4×#125—111no—
550C4×#126—111no—
551C4×#126—111no—
552C4×C22⋊Q8—111no—
553C4×C22⋊Q8D1111yescharacteristic, complemented
554C4×#123—111no—
555C4×#123—111no—
556#2296—111no—
557C42×D4—111no—
558C42×D4—111no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11C2×#4112yes—
566C23×C11C2511yescharacteristic
567C22×D11—21no—
568C22×D11—21no—
569C22×D11—21no—
570C22×D11—21no—
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11C2×#4112yes—
580C22×D11C2×#4112yes—
581Q8×C11—44no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
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—44no—
617C2×C4×C11—44no—
618C2×C4×C11—44no—
619C2×C4×C11C2×#4112yes—
620C2×C4×C11C2×#4112yes—
621C2×C4×C11C2×#4112yes—
622C2×C4×C11C2×#4112yes—
623C2×C4×C11C2×#4112yes—
624C2×C4×C11C2×#4112yes—
625C2×C4×C11H(5,𝔽2)12yes—
626C2×C4×C112−1+412yes—
627C22⋊D11—28no—
628C22⋊D11—44no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
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×Dic11C2×#4112yes—
666C2×Dic11C2×#4112yes—
667C2×Dic11C2×#4112yes—
668C2×Dic11C2×#4112yes—
669C2×Dic11C2×#4112yes—
670C2×Dic11C2×#4112yes—
671D44—28no—
672C4×D11—28no—
673C4×D11—44no—
674C4×D11—44no—
675C4×D11—44no—
676C4×D11—44no—
677C4×D11—44no—
678C2×#126—111no—
679C2×#126—111no—
680C2×#125—111no—
681C2×#125—111no—
682C2×#123—111no—
683C2×#123—111no—
684C2×C22⋊Q8—111no—
685C2×C22⋊Q8C2×D1111yescharacteristic
686C2×C4×Q8C2×D1111yescharacteristic
687C2×C4×D4—111no—
688C2×C4×D4—111no—
689C2×C4×D4—111no—
690C2×C4×D4—111no—
691C2×C4×D4—111no—
692C2×C4×D4—111no—
693C2×C4×D4—111no—
694C2×#117—111no—
695C2×#117—111no—
696C22×C42—111no—
697C22×C42—111no—
698C22×C42C2×D1111yescharacteristic
699#400—111no—
700#400—111no—
701#400—111no—
702#399—111no—
703#399—111no—
704#399—111no—
705#398—111no—
706#398—111no—
707#398—111no—
708#398—111no—
709#398—111no—
710#397—111no—
711#397—111no—
712#397—111no—
713#397—111no—
714#397—111no—
715#397—111no—
716#397—111no—
717#396—111no—
718#396—111no—
719#396—111no—
720#396—111no—
721#395—111no—
722#394—111no—
723#394—111no—
724#394—111no—
725#394—111no—
726#394—111no—
727#394—111no—
728#394—111no—
729#393—111no—
730#392—111no—
731#391—111no—
732#391C2×D1111yescharacteristic
733#389—111no—
734#389—111no—
735#389—111no—
736#389—111no—
737#389—111no—
738#389—111no—
739#389—111no—
740#389—111no—
741#389—111no—
742#389C2×D1111yescharacteristic
743#388—111no—
744#388—111no—
745#388—111no—
746#388—111no—
747#388—111no—
748#388—111no—
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#387—111no—
754#387—111no—
755#387—111no—
756#387—111no—
757#387—111no—
758#387—111no—
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387—111no—
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387C2×D1111yescharacteristic
774#387C2×D1111yescharacteristic
775#386—111no—
776#386—111no—
777#385—111no—
778#385—111no—
779#385—111no—
780#385—111no—
781#385—111no—
782#385—111no—
783#385—111no—
784#385—111no—
785#385C2×D1111yescharacteristic
786#385C2×D1111yescharacteristic
787#383—111no—
788#383—111no—
789#382—111no—
790#382—111no—
791#381—111no—
792#381—111no—
793#380—111no—
794#380C2×D1111yescharacteristic
795C4×C4⋊C4—111no—
796C4×C4⋊C4—111no—
797C4×C4⋊C4—111no—
798C4×C4⋊C4—111no—
799C4×C4⋊C4—111no—
800C4×C4⋊C4—111no—
801C4×C4⋊C4—111no—
802C4×C4⋊C4—111no—
803C4×C4⋊C4—111no—
804C4×C4⋊C4—111no—
805C4×C4⋊C4—111no—
806C4×C4⋊C4—111no—
807C4×C4⋊C4—111no—
808C4×C4⋊C4—111no—
809C4×C4⋊C4—111no—
810C4×C4⋊C4C2×D1111yescharacteristic
811C4×C4⋊C4C2×D1111yescharacteristic
812C4×C4⋊C4C2×D1111yescharacteristic
813C4×C22⋊C4—111no—
814C4×C22⋊C4—111no—
815C4×C22⋊C4—111no—
816C4×C22⋊C4—111no—
817C4×C22⋊C4—111no—
818C4×C22⋊C4—111no—
819C4×C22⋊C4—111no—
820C4×C22⋊C4—111no—
821C4×C22⋊C4—111no—
822C4×C22⋊C4—111no—
823C4×C22⋊C4—111no—
824C4×C22⋊C4—111no—
825C4×C22⋊C4—111no—
826C4×C22⋊C4—111no—
827C4×C22⋊C4—111no—
828C4×C22⋊C4—111no—
829C4×C22⋊C4C2×D1111yescharacteristic
830C4×C22⋊C4C2×D1111yescharacteristic
831C43—111no—
832C43—111no—
833C22×C11—22no—
834C22×C11—22no—
835C22×C11—22no—
836C22×C11—41no—
837C22×C11—41no—
838C22×C11—41no—
839C22×C11—41no—
840C22×C11C22×#4111yescharacteristic
841C22×C11C22×#4111yescharacteristic
842C22×C11C22×#4111yescharacteristic
843C22×C11C22×#4111yescharacteristic
844C22×C11C22×#4111yescharacteristic
845C22×C11C2×H(5,𝔽2)11yescharacteristic
846C22×C11C2×2−1+411yescharacteristic
847C2×D11—22no—
848C2×D11—22no—
849C2×D11—22no—
850C2×D11—22no—
851C2×D11—22no—
852C2×D11—22no—
853C2×D11—41no—
854C2×D11—41no—
855C2×D11—41no—
856C2×D11—41no—
857C2×D11—41no—
858C2×D11—41no—
859C2×D11—41no—
860C2×D11—41no—
861C4×C11—22no—
862C4×C11—22no—
863C4×C11—22no—
864C4×C11—22no—
865C4×C11—22no—
866C4×C11—41no—
867C4×C11—41no—
868C4×C11—41no—
869C4×C11—41no—
870C4×C11—41no—
871C4×C11—41no—
872C4×C11—41no—
873C4×C11—41no—
874C4×C11#53914yes—
875Dic11—22no—
876Dic11—22no—
877Dic11—22no—
878Dic11—22no—
879Dic11—22no—
880Dic11—22no—
881Dic11—41no—
882Dic11—41no—
883Dic11—41no—
884Dic11—41no—
885Dic11—41no—
886Dic11—41no—
887Dic11—41no—
888Dic11—41no—
889C22×Q8C22×D1111yescharacteristic
890C22×D4—111no—
891C22×D4—111no—
892C22×D4—111no—
893C23×C4—111no—
894C23×C4—111no—
895C23×C4—111no—
896C23×C4—111no—
897C23×C4—111no—
898C23×C4—111no—
899C23×C4C22×D1111yescharacteristic
900C23×C4C22×D1111yescharacteristic
901C23×C4C22×D1111yescharacteristic
902#126—224no—
903#126—224no—
904#125—224no—
905#125—224no—
906#123—224no—
907#123—224no—
908C22⋊Q8—24no—
909C22⋊Q8—224no—
910C4×Q8—42no—
911C4×D4—224no—
912C4×D4—224no—
913C4×D4—224no—
914C4×D4—224no—
915C4×D4—224no—
916C4×D4—224no—
917C4×D4—442no—
918#117—224no—
919#117—442no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4C22×D1111yescharacteristic
950C2×C4⋊C4C22×D1111yescharacteristic
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C4⋊C4C22×D1111yescharacteristic
956C2×C4⋊C4C22×D1111yescharacteristic
957C2×C4⋊C4C22×D1111yescharacteristic
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4C22×D1111yescharacteristic
985C2×C22⋊C4C22×D1111yescharacteristic
986C2×C22⋊C4C22×D1111yescharacteristic
987C2×C22⋊C4C22×D1111yescharacteristic
988C2×C42—42no—
989C2×C42—111no—
990C2×C42—111no—
991C2×C42—111no—
992C2×C42—111no—
993C2×C42—111no—
994C2×C42—111no—
995C2×C42—111no—
996C2×C42—111no—
997C2×C42—111no—
998C2×C42—111no—
999C2×C42—111no—
1000C2×C42—111no—
1001C2×C42—111no—
1002C2×C42—111no—
1003C2×C42—111no—
1004C2×C42—111no—
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—442no—
1008C2×C42—442no—
1009C2×C42C22×D1111yescharacteristic
1010C2×C42C22×D1111yescharacteristic
1011C2×C42C22×D1111yescharacteristic
1012C2×C42C22×D1111yescharacteristic
1013C2×C42C22×D1111yescharacteristic
1014C2×C42C22×D1111yescharacteristic
1015C2×C42C22×D1111yescharacteristic
1016C2×C42C22×D1111yescharacteristic
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
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#95C22×D1111yescharacteristic
1056#95C22×D1111yescharacteristic
1057#95C22×D1111yescharacteristic
1058#95C22×D1111yescharacteristic
1059#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065C2×C11—42no—
1066C2×C11#344411yescharacteristic
1067C2×C11#344411yescharacteristic
1068C2×C11C2×#53911yescharacteristic
1069C2×C11#348111yescharacteristic
1070C2×C11#348111yescharacteristic
1071C2×C11#348211yescharacteristic
1072C2×C11#348211yescharacteristic
1073D11—42no—
1074D11—42no—
1075C24—111no—
1076C24—111no—
1077C24C23×D1111yescharacteristic
1078C2×Q8—22no—
1079C2×Q8—22no—
1080C2×Q8—41no—
1081C2×D4—222no—
1082C2×D4—222no—
1083C2×D4—222no—
1084C2×D4—222no—
1085C2×D4—222no—
1086C2×D4—222no—
1087C2×D4—222no—
1088C2×D4—222no—
1089C2×D4—441no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—111no—
1100C22×C4—111no—
1101C22×C4—111no—
1102C22×C4—111no—
1103C22×C4—111no—
1104C22×C4—111no—
1105C22×C4—114no—
1106C22×C4—111no—
1107C22×C4—111no—
1108C22×C4—111no—
1109C22×C4—111no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—222no—
1115C22×C4—222no—
1116C22×C4—222no—
1117C22×C4—222no—
1118C22×C4—222no—
1119C22×C4—222no—
1120C22×C4—222no—
1121C22×C4—222no—
1122C22×C4—222no—
1123C22×C4—222no—
1124C22×C4—222no—
1125C22×C4—222no—
1126C22×C4—222no—
1127C22×C4—441no—
1128C22×C4—441no—
1129C22×C4—441no—
1130C22×C4—441no—
1131C22×C4C23×D1111yescharacteristic
1132C22×C4C23×D1111yescharacteristic
1133C22×C4C23×D1111yescharacteristic
1134C22×C4C23×D1111yescharacteristic
1135C22×C4C23×D1111yescharacteristic
1136C22×C4C23×D1111yescharacteristic
1137C22×C4C23×D1111yescharacteristic
1138C22×C4C23×D1111yescharacteristic
1139C22×C4C23×D1111yescharacteristic
1140C22×C4C23×D1111yescharacteristic
1141C22×C4C23×D1111yescharacteristic
1142C22×C4C23×D1111yescharacteristic
1143C22×C4C23×D1111yescharacteristic
1144C22×C4C23×D1111yescharacteristic
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—22no—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—114no—
1154C4⋊C4—222no—
1155C4⋊C4—222no—
1156C4⋊C4—222no—
1157C4⋊C4—222no—
1158C4⋊C4—222no—
1159C4⋊C4—222no—
1160C4⋊C4—222no—
1161C4⋊C4—222no—
1162C4⋊C4—222no—
1163C4⋊C4—222no—
1164C4⋊C4—222no—
1165C4⋊C4—222no—
1166C4⋊C4—222no—
1167C4⋊C4—222no—
1168C4⋊C4—222no—
1169C4⋊C4—222no—
1170C4⋊C4—222no—
1171C4⋊C4—222no—
1172C4⋊C4—222no—
1173C4⋊C4—222no—
1174C4⋊C4—222no—
1175C4⋊C4—222no—
1176C4⋊C4—222no—
1177C4⋊C4—222no—
1178C4⋊C4—222no—
1179C4⋊C4—441no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4#433914yes—
1183C22⋊C4—22no—
1184C22⋊C4—22no—
1185C22⋊C4—22no—
1186C22⋊C4—22no—
1187C22⋊C4—114no—
1188C22⋊C4—114no—
1189C22⋊C4—222no—
1190C22⋊C4—222no—
1191C22⋊C4—222no—
1192C22⋊C4—222no—
1193C22⋊C4—222no—
1194C22⋊C4—222no—
1195C22⋊C4—222no—
1196C22⋊C4—222no—
1197C22⋊C4—222no—
1198C22⋊C4—222no—
1199C22⋊C4—222no—
1200C22⋊C4—222no—
1201C22⋊C4—222no—
1202C22⋊C4—222no—
1203C22⋊C4—222no—
1204C22⋊C4—222no—
1205C22⋊C4—222no—
1206C22⋊C4—222no—
1207C22⋊C4—222no—
1208C22⋊C4—222no—
1209C22⋊C4—441no—
1210C22⋊C4—441no—
1211C22⋊C4—441no—
1212C22⋊C4—441no—
1213C42—22no—
1214C42—22no—
1215C42—22no—
1216C42—22no—
1217C42—22no—
1218C42—22no—
1219C42—41no—
1220C42—41no—
1221C42—222no—
1222C42—222no—
1223C42—222no—
1224C42—222no—
1225C42—222no—
1226C42—222no—
1227C42—222no—
1228C42—222no—
1229C42—222no—
1230C42—222no—
1231C42—222no—
1232C42—222no—
1233C42—222no—
1234C42—222no—
1235C42—441no—
1236C42—441no—
1237C42—441no—
1238C42—441no—
1239C11#3496111yescharacteristic, complemented, Sylow
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—112no—
1247C23—112no—
1248C23—221no—
1249C23—221no—
1250C23—221no—
1251C23—221no—
1252C23—221no—
1253C23—221no—
1254C23—221no—
1255C23—221no—
1256C23—221no—
1257C23—221no—
1258C23—221no—
1259C23—221no—
1260C23#41×D1112yes—
1261C23C24×D1111yescharacteristic
1262Q8—44no—
1263D4—228no—
1264D4—228no—
1265D4—444no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—44no—
1301C2×C4—44no—
1302C2×C4—44no—
1303C2×C4—112no—
1304C2×C4—112no—
1305C2×C4—112no—
1306C2×C4—112no—
1307C2×C4—112no—
1308C2×C4—112no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—228no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—444no—
1347C2×C4—444no—
1348C2×C4—444no—
1349C2×C4—444no—
1350C2×C4—444no—
1351C2×C4C2×#433912yes—
1352C2×C4C2×#433912yes—
1353C2×C4C2×#433912yes—
1354C2×C4#6703712yes—
1355C2×C4#6704012yes—
1356C2×C4#41×D1112yes—
1357C2×C4#41×D1112yes—
1358C2×C4#41×D1112yes—
1359C22—22no—
1360C22—22no—
1361C22—22no—
1362C22—41no—
1363C22—41no—
1364C22—41no—
1365C22—41no—
1366C22—222no—
1367C22—222no—
1368C22—222no—
1369C22—222no—
1370C22—222no—
1371C22—222no—
1372C22—441no—
1373C22—441no—
1374C22—441no—
1375C22—441no—
1376C22—441no—
1377C22—441no—
1378C22—441no—
1379C22—441no—
1380C22C22×#433911yescharacteristic
1381C22C2×#6703711yescharacteristic
1382C22C2×#6704011yescharacteristic
1383C22C2×#41×D1111yescharacteristic
1384C22C2×#41×D1111yescharacteristic
1385C22C2×#41×D1111yescharacteristic
1386C22C2×#41×D1111yescharacteristic
1387C4—22no—
1388C4—22no—
1389C4—22no—
1390C4—22no—
1391C4—22no—
1392C4—41no—
1393C4—41no—
1394C4—41no—
1395C4—41no—
1396C4—41no—
1397C4—41no—
1398C4—41no—
1399C4—41no—
1400C4—222no—
1401C4—222no—
1402C4—222no—
1403C4—222no—
1404C4—222no—
1405C4—222no—
1406C4—441no—
1407C4—441no—
1408C4—441no—
1409C4—441no—
1410C4—441no—
1411C4—441no—
1412C4—441no—
1413C4—441no—
1414C4#1062316914yes—
1415C2—42no—
1416C2—442no—
1417C2—442no—
1418C2#1308190911yescharacteristic
1419C2#1308191011yescharacteristic
1420C2C2×#1062316911yescharacteristic
1421C2#1308221811yescharacteristic
1422C2#1308222011yescharacteristic
1423C2#1308223311yescharacteristic
1424C2#1308223411yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC4×C11×C22⋊Q8C2
prime radical#10622573C22
hypercenterC4×C22⋊Q8D11
hypocenterC11#34961
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. #13074018C2semidirect
2. #13074011C2semidirect
3. #13073879C2semidirect
4. #13073874C2semidirect
5. #13073705C2semidirect
6. #13073698C2semidirect
7. #13073665C2semidirect
8. #13073660C2semidirect
9. #13073346C2semidirect
10. #13073262C2semidirect
11. #13072658C2semidirect
12. #13072649C2semidirect
14. #13072573C2semidirect
15. #13072566C2semidirect
17. #13071886C2semidirect
18. #13071879C2semidirect
19. #13071877C2semidirect
21. C4×#66942C2semidirect
22. C4×#66942C2semidirect
23. C4×#66951C2semidirect
24. C4×#66932C2semidirect
25. C4×#66999C2semidirect
26. C4×#66982C2semidirect
27. C4×#66936C2semidirect
28. #13071096C2semidirect
29. C42×C22⋊D11C2semidirect
30. C4×#66946C2semidirect
31. C4×C11×C22⋊Q8C2semidirect
553. C4×C22⋊Q8D11semidirect
1239. C11#34961semidirect

Maximal subgroups

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

subgroupindex
#130740182
#130740112
#130738792
#130738742
#130737052
#130736982
#130736652
#130736602
#130733462
#130732622
#130726582
#130726492
#130726092
#130725732
#130725662
#130724972
#130718862
#130718792
#130718772
#130718602
C4×#669422
C4×#669512
C4×#669322
C4×#669992
C4×#669822
C4×#669362
#130710962
C42×C22⋊D112
C4×#669462
C4×C11×C22⋊Q82
#3496111