Finite Group Databasebeta

← #14926076

Subgroups — #14926076

Order 2816.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1350 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074275C211yesmaximal, characteristic, complemented
2#13074271C211yesmaximal, characteristic, complemented
3#13074266C211yesmaximal, characteristic, complemented
4#13074262C211yesmaximal, characteristic, complemented
5#13073849C211yesmaximal, characteristic, complemented
6#13073847C211yesmaximal, characteristic, complemented
7#13073636C211yesmaximal, characteristic, complemented
8#13073634C211yesmaximal, characteristic, complemented
9#13072339C211yesmaximal, characteristic
10#13072337C211yesmaximal, characteristic
11#13072317C211yesmaximal, characteristic
12#13072315C211yesmaximal, characteristic
13#13072298C211yesmaximal, characteristic
14#13072296C211yesmaximal, characteristic
15#13072290C211yesmaximal, characteristic
16#13072288C211yesmaximal, characteristic
17#13071923C211yesmaximal, characteristic, complemented
18#13071923C211yesmaximal, characteristic, complemented
19#13071910C211yesmaximal, characteristic, complemented
20#13071907C211yesmaximal, characteristic, complemented
21C4×#66941C211yesmaximal, characteristic, complemented
22C4×#66997C211yesmaximal, characteristic, complemented
23C4×#66942C211yesmaximal, characteristic, complemented
24C4×#66942C211yesmaximal, characteristic, complemented
25C4×#66977C211yesmaximal, characteristic
26C4×#66931C211yesmaximal, characteristic
27C4×#66931C211yesmaximal, characteristic
28#13071010C211yesmaximal, characteristic
29C4×#66930C211yesmaximal, characteristic
30C2×C4×Dic11⋊C4C211yesmaximal, characteristic
31C4×C11×C22⋊Q8C211yesmaximal, characteristic
32C2×C11×C22⋊Q8C2211yescharacteristic
33C2×C4×Q8×C11C2211yescharacteristic
34C22×C42×C11C2211yescharacteristic
35C2×#66997C2211yescharacteristic
36C2×#66977C2211yescharacteristic
37C22×Dic11⋊C4C2211yescharacteristic
38C22×Dic11⋊C4C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic
40C22×C4×Dic11C2211yescharacteristic
41C2×#66942C2211yescharacteristic
42C2×#66942C2211yescharacteristic
43C2×#66941C2211yescharacteristic
44C2×#66931C2211yescharacteristic
45C2×#66931C2211yescharacteristic
46C2×#66930C2211yescharacteristic
47C2×#66930C2211yescharacteristic
48C2×C4×Dic22C2211yescharacteristic
49C2×C4×Dic22C2211yescharacteristic
50C2×C4×Dic22C2211yescharacteristic
51C11×#391C2211yescharacteristic
52C11×#389C2211yescharacteristic
53C11×#387C2211yescharacteristic
54C11×#387C2211yescharacteristic
55C11×#385C2211yescharacteristic
56C11×#385C2211yescharacteristic
57C11×#380C2211yescharacteristic
58C4×C11×C4⋊C4C2211yescharacteristic
59C4×C11×C4⋊C4C2211yescharacteristic
60C4×C11×C4⋊C4C2211yescharacteristic
61C4×C11×C22⋊C4C2211yescharacteristic
62C4×C11×C22⋊C4C2211yescharacteristic
63#10622843C2211yescharacteristic
64#10622842C2211yescharacteristic
65#10622842C2211yescharacteristic
66#10622825C2211yescharacteristic
67#10622823C2211yescharacteristic
68#10622823C2211yescharacteristic
69C4×C22⋊Dic11C2211yescharacteristic
70C4×C22⋊Dic11C2211yescharacteristic
71C2×C11⋊#95C2211yescharacteristic
72C2×C11⋊#95C2211yescharacteristic
73#10622598C2211yescharacteristic
74#10622597C2211yescharacteristic
75#10622597C2211yescharacteristic
76#10622597C2211yescharacteristic
77#10622597C2211yescharacteristic
78#10622596C2211yescharacteristic
79#10622596C2211yescharacteristic
80#10622596C2211yescharacteristic
81#10622596C2211yescharacteristic
82#10622595C2211yescharacteristic
83#10622595C2211yescharacteristic
84#10622594C2211yescharacteristic
85#10622594C2211yescharacteristic
86#10622593C2211yescharacteristic
87#10622593C2211yescharacteristic
88#10622593C2211yescharacteristic
89#10622593C2211yescharacteristic
90#10622592C2211yescharacteristic
91#10622592C2211yescharacteristic
92#10622592C2211yescharacteristic
93#10622592C2211yescharacteristic
94#10622591C2211yescharacteristic
95#10622591C2211yescharacteristic
96#10622589C2211yescharacteristic
97#10622589C2211yescharacteristic
98#10622587C2211yescharacteristic
99#10622586C2211yescharacteristic
100#10622585C2211yescharacteristic
101#10622585C2211yescharacteristic
102#10622585C2211yescharacteristic
103#10622585C2211yescharacteristic
104#10622585C2211yescharacteristic
105#10622585C2211yescharacteristic
106#10622563C2211yescharacteristic
107#10622563C2211yescharacteristic
108#10622559C2211yescharacteristic
109#10622559C2211yescharacteristic
110#10622556C2211yescharacteristic
111#10622556C2211yescharacteristic
112#10622555C2211yescharacteristic
113#10622555C2211yescharacteristic
114#10622555C2211yescharacteristic
115#10622555C2211yescharacteristic
116C22⋊C4×Dic11C2211yescharacteristic
117C22⋊C4×Dic11C2211yescharacteristic
118C4×C4⋊Dic11C2211yescharacteristic
119C4×C4⋊Dic11C2211yescharacteristic
120C4×C4⋊Dic11C2211yescharacteristic
121#10622546C2211yescharacteristic
122#10622546C2211yescharacteristic
123#10622545C2211yescharacteristic
124#10622545C2211yescharacteristic
125C4×Dic11⋊C4C2211yescharacteristic
126C4×Dic11⋊C4C2211yescharacteristic
127C4×Dic11⋊C4C2211yescharacteristic
128C4×Dic11⋊C4C2211yescharacteristic
129C4×Dic11⋊C4C2211yescharacteristic
130C4×Dic11⋊C4C2211yescharacteristic
131C4×Dic11⋊C4C2211yescharacteristic
132C4×Dic11⋊C4C2211yescharacteristic
133C4×Dic11⋊C4C2211yescharacteristic
134C4×Dic11⋊C4C2211yescharacteristic
135C4×Dic11⋊C4C2211yescharacteristic
136C4×Dic11⋊C4C2211yescharacteristic
137C4×Dic11⋊C4C2211yescharacteristic
138C4×Dic11⋊C4C2211yescharacteristic
139C4×Dic11⋊C4C2211yescharacteristic
140C4×Dic11⋊C4C2211yescharacteristic
141C4×Dic11⋊C4C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C42×Dic11C2211yescharacteristic
144C42×Dic11C2211yescharacteristic
145#10622542C2211yescharacteristic
146#10622541C2211yescharacteristic
147#10622272C2211yescharacteristic
148#10622272C2211yescharacteristic
149#10622271C2211yescharacteristic
150#10622271C2211yescharacteristic
151#10622271C2211yescharacteristic
152#10622271C2211yescharacteristic
153#10622270C2211yescharacteristic
154#10622270C2211yescharacteristic
155#10622270C2211yescharacteristic
156#10622270C2211yescharacteristic
157#10622269C2211yescharacteristic
158#10622269C2211yescharacteristic
159#10622268C2211yescharacteristic
160#10622268C2211yescharacteristic
161#10622267C2211yescharacteristic
162#10622267C2211yescharacteristic
163#10622266C2211yescharacteristic
164#10622266C2211yescharacteristic
165#10622265C2211yescharacteristic
166#10622265C2211yescharacteristic
167#10622264C2211yescharacteristic
168#10622264C2211yescharacteristic
169#10622263C2211yescharacteristic
170#10622263C2211yescharacteristic
171#10622263C2211yescharacteristic
172#10622263C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622261C2211yescharacteristic
176#10622261C2211yescharacteristic
177#10622260C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C22×Dic22C2311yescharacteristic
196C22×Dic22C2311yescharacteristic
197C22×Dic22C2311yescharacteristic
198C11×C22⋊Q8—24no—
199C4×Q8×C11—42no—
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C42×C11—42no—
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226#66997—24no—
227C2×C4⋊Dic11C2311yescharacteristic
228C2×C4⋊Dic11C2311yescharacteristic
229C2×C4⋊Dic11C2311yescharacteristic
230C2×C4⋊Dic11C2311yescharacteristic
231C2×C4⋊Dic11C2311yescharacteristic
232C2×C4⋊Dic11C2311yescharacteristic
233C2×C4⋊Dic11C2311yescharacteristic
234C2×C4⋊Dic11C2311yescharacteristic
235C2×C4⋊Dic11C2311yescharacteristic
236#66977—24no—
237C2×Dic11⋊C4—24no—
238C2×Dic11⋊C4—24no—
239C2×Dic11⋊C4C2311yescharacteristic
240C2×Dic11⋊C4C2311yescharacteristic
241C2×Dic11⋊C4C2311yescharacteristic
242C2×Dic11⋊C4C2311yescharacteristic
243C2×Dic11⋊C4C2311yescharacteristic
244C2×Dic11⋊C4C2311yescharacteristic
245C2×Dic11⋊C4C2311yescharacteristic
246C2×Dic11⋊C4C2311yescharacteristic
247C2×Dic11⋊C4C2311yescharacteristic
248C2×Dic11⋊C4C2311yescharacteristic
249C2×Dic11⋊C4C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—42no—
274C2×C4×Dic11Q818yescomplemented
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
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
295#66942—24no—
296#66942—24no—
297#66941—24no—
298#66931—24no—
299#66931—24no—
300#66930—24no—
301#66930—24no—
302C4×Dic22—42no—
303C4×Dic22—42no—
304C4×Dic22—42no—
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361#34966—111nomaximal, Sylow
362C24×C11C2411yescharacteristic
363C2×Q8×C11—22no—
364C2×Q8×C11—22no—
365C2×Q8×C11—41no—
366C22×C4×C11—22no—
367C22×C4×C11—22no—
368C22×C4×C11—22no—
369C22×C4×C11—22no—
370C22×C4×C11—22no—
371C22×C4×C11—22no—
372C22×C4×C11—41no—
373C22×C4×C11—41no—
374C22×C4×C11C2×Q814yes—
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
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×Dic11—22no—
390C22×Dic11—22no—
391C22×Dic11—22no—
392C22×Dic11—22no—
393C22×Dic11—22no—
394C22×Dic11—22no—
395C22×Dic11—22no—
396C22×Dic11—22no—
397C22×Dic11—41no—
398C22×Dic11—41no—
399C22×Dic11C2×Q814yes—
400C22×Dic11C2×Q814yes—
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C2×Dic22—22no—
418C2×Dic22—22no—
419C2×Dic22—22no—
420C2×Dic22—22no—
421C2×Dic22—22no—
422C2×Dic22—22no—
423C2×Dic22—41no—
424C2×Dic22—41no—
425C2×Dic22—41no—
426C11×C4⋊C4—22no—
427C11×C4⋊C4—22no—
428C11×C4⋊C4—22no—
429C11×C4⋊C4—22no—
430C11×C4⋊C4—22no—
431C11×C4⋊C4—22no—
432C11×C4⋊C4—41no—
433C11×C4⋊C4—41no—
434C11×C4⋊C4—41no—
435C11×C22⋊C4—22no—
436C11×C22⋊C4—22no—
437C11×C22⋊C4—22no—
438C11×C22⋊C4#4114yes—
439C42×C11—22no—
440C42×C11—22no—
441C42×C11—22no—
442C42×C11—22no—
443C42×C11—22no—
444C42×C11—22no—
445C42×C11—41no—
446C42×C11—41no—
447C22⋊Dic11—22no—
448C22⋊Dic11—22no—
449C22⋊Dic11—22no—
450C22⋊Dic11#4114yes—
451C4⋊Dic11—22no—
452C4⋊Dic11—22no—
453C4⋊Dic11—22no—
454C4⋊Dic11—22no—
455C4⋊Dic11—22no—
456C4⋊Dic11—22no—
457C4⋊Dic11—41no—
458C4⋊Dic11—41no—
459C4⋊Dic11—41no—
460Dic11⋊C4—22no—
461Dic11⋊C4—22no—
462Dic11⋊C4—22no—
463Dic11⋊C4—22no—
464Dic11⋊C4—22no—
465Dic11⋊C4—22no—
466Dic11⋊C4—22no—
467Dic11⋊C4—22no—
468Dic11⋊C4—22no—
469Dic11⋊C4—22no—
470Dic11⋊C4—22no—
471Dic11⋊C4—22no—
472Dic11⋊C4—22no—
473Dic11⋊C4—22no—
474Dic11⋊C4—22no—
475Dic11⋊C4—22no—
476Dic11⋊C4—22no—
477Dic11⋊C4—22no—
478Dic11⋊C4—22no—
479Dic11⋊C4—22no—
480Dic11⋊C4—22no—
481Dic11⋊C4—22no—
482Dic11⋊C4—22no—
483Dic11⋊C4—22no—
484Dic11⋊C4—22no—
485Dic11⋊C4—22no—
486Dic11⋊C4—41no—
487Dic11⋊C4—41no—
488Dic11⋊C4—41no—
489Dic11⋊C4—41no—
490Dic11⋊C4—41no—
491Dic11⋊C4—41no—
492Dic11⋊C4#4114yes—
493Dic11⋊C4#4114yes—
494C4×Dic11—22no—
495C4×Dic11—22no—
496C4×Dic11—22no—
497C4×Dic11—22no—
498C4×Dic11—22no—
499C4×Dic11—22no—
500C4×Dic11—22no—
501C4×Dic11—22no—
502C4×Dic11—22no—
503C4×Dic11—22no—
504C4×Dic11—22no—
505C4×Dic11—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—41no—
509C4×Dic11—41no—
510C4×Dic11C2×Q814yes—
511C4×Dic11C2×Q814yes—
512C4×Dic11C2×Q814yes—
513C4×Dic11C2×Q814yes—
514#2606—111no—
515#2606—111no—
516#2605—111no—
517#2605—111no—
518#2570—111no—
519#2570—111no—
520#2550—111no—
521#2550—111no—
522#2442—111no—
523#2442—111no—
524#2440—111no—
525#2440—111no—
526#2438—111no—
527#2438—111no—
528#2438—111no—
529#2438—111no—
530#2402—111no—
531#2402—111no—
532#2399—111no—
533#2399—111no—
534C4×C4⋊Q8—111no—
535C4×C4⋊Q8—111no—
536C4×#125—111no—
537C4×#125—111no—
538C4×C22⋊Q8—111no—
539C4×C22⋊Q8—111no—
540C4×C22⋊Q8—111no—
541C4×C22⋊Q8D1111yescharacteristic
542#2283—111no—
543C4×#117—111no—
544C2×C4×C4⋊C4—111no—
545C23×C11—21no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11C22×Q812yes—
550C23×C11C2×#4112yes—
551C23×C11C2×#4112yes—
552C23×C11C2511yescharacteristic
553Q8×C11—44no—
554C2×C4×C11—21no—
555C2×C4×C11—21no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11—21no—
560C2×C4×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—21no—
563C2×C4×C11—21no—
564C2×C4×C11—28no—
565C2×C4×C11—21no—
566C2×C4×C11—21no—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
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—44no—
590C2×C4×C11—44no—
591C2×C4×C11C22×Q812yes—
592C2×C4×C11C22×Q812yes—
593C2×C4×C11C2×#4112yes—
594C2×C4×C11C2×#4112yes—
595C2×C4×C11C2×#4112yes—
596C2×C4×C11C2×#4112yes—
597C2×C4×C11H(5,𝔽2)12yes—
598C2×C4×C112−1+412yes—
599C2×Dic11—28no—
600C2×Dic11—21no—
601C2×Dic11—21no—
602C2×Dic11—21no—
603C2×Dic11—21no—
604C2×Dic11—21no—
605C2×Dic11—21no—
606C2×Dic11—21no—
607C2×Dic11—21no—
608C2×Dic11—21no—
609C2×Dic11—21no—
610C2×Dic11—21no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—28no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
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—44no—
640C2×Dic11—44no—
641C2×Dic11C22×Q812yes—
642C2×Dic11C22×Q812yes—
643C2×Dic11C22×Q812yes—
644C2×Dic11C22×Q812yes—
645C2×Dic11C2×#4112yes—
646C2×Dic11C2×#4112yes—
647C2×Dic11C2×#4112yes—
648C2×Dic11C2×#4112yes—
649C2×Dic11C2×#4112yes—
650C2×Dic11C2×#4112yes—
651Dic22—44no—
652Dic22—44no—
653Dic22—44no—
654C2×C4⋊Q8—111no—
655C2×C4⋊Q8—111no—
656C2×#125—111no—
657C2×#125—111no—
658C2×C22⋊Q8—111no—
659C2×C22⋊Q8—111no—
660C2×C22⋊Q8—111no—
661C2×C22⋊Q8C2×D1111yescharacteristic
662C2×C4×Q8—111no—
663C2×C4×Q8—111no—
664C2×C4×Q8—111no—
665C2×C4×Q8C2×D1111yescharacteristic
666C2×#117—111no—
667C2×#117—111no—
668C22×C4⋊C4—111no—
669C22×C4⋊C4—111no—
670C22×C42—111no—
671C22×C42—111no—
672C22×C42C2×D1111yescharacteristic
673#400—111no—
674#400—111no—
675#400—111no—
676#400—111no—
677#400—111no—
678#400—111no—
679#400—111no—
680#400—111no—
681#398—111no—
682#398—111no—
683#398—111no—
684#398—111no—
685#398—111no—
686#398—111no—
687#398—111no—
688#398—111no—
689#398—111no—
690#398—111no—
691#398—111no—
692#398—111no—
693#398—111no—
694#398—111no—
695#398—111no—
696#398—111no—
697#395—111no—
698#395—111no—
699#395—111no—
700#395—111no—
701#395—111no—
702#395—111no—
703#395—111no—
704#395—111no—
705#391—111no—
706#391—111no—
707#391—111no—
708#391—111no—
709#391—111no—
710#391—111no—
711#391—111no—
712#391C2×D1111yescharacteristic
713#389—111no—
714#389—111no—
715#389—111no—
716#389—111no—
717#389—111no—
718#389—111no—
719#389—111no—
720#389—111no—
721#389—111no—
722#389—111no—
723#389—111no—
724#389—111no—
725#389—111no—
726#389—111no—
727#389—111no—
728#389C2×D1111yescharacteristic
729#387—111no—
730#387—111no—
731#387—111no—
732#387—111no—
733#387—111no—
734#387—111no—
735#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387C2×D1111yescharacteristic
744#387C2×D1111yescharacteristic
745#385—111no—
746#385—111no—
747#385—111no—
748#385—111no—
749#385—111no—
750#385—111no—
751#385C2×D1111yescharacteristic
752#385C2×D1111yescharacteristic
753#384—111no—
754#384—111no—
755#383—111no—
756#383—111no—
757#382—111no—
758#382—111no—
759#382—111no—
760#382—111no—
761#381—111no—
762#381—111no—
763#380—111no—
764#380—111no—
765#380—111no—
766#380—111no—
767#380—111no—
768#380C2×D1111yescharacteristic
769C4×C4⋊C4—111no—
770C4×C4⋊C4—111no—
771C4×C4⋊C4—111no—
772C4×C4⋊C4—111no—
773C4×C4⋊C4—111no—
774C4×C4⋊C4—111no—
775C4×C4⋊C4—111no—
776C4×C4⋊C4—111no—
777C4×C4⋊C4—111no—
778C4×C4⋊C4—111no—
779C4×C4⋊C4—111no—
780C4×C4⋊C4—111no—
781C4×C4⋊C4—111no—
782C4×C4⋊C4—111no—
783C4×C4⋊C4—111no—
784C4×C4⋊C4—111no—
785C4×C4⋊C4—111no—
786C4×C4⋊C4—111no—
787C4×C4⋊C4—111no—
788C4×C4⋊C4—111no—
789C4×C4⋊C4—111no—
790C4×C4⋊C4—111no—
791C4×C4⋊C4—111no—
792C4×C4⋊C4C2×D1111yescharacteristic
793C4×C4⋊C4C2×D1111yescharacteristic
794C4×C4⋊C4C2×D1111yescharacteristic
795C4×C22⋊C4—111no—
796C4×C22⋊C4—111no—
797C4×C22⋊C4—111no—
798C4×C22⋊C4—111no—
799C4×C22⋊C4C2×D1111yescharacteristic
800C4×C22⋊C4C2×D1111yescharacteristic
801#376—111no—
802#376—111no—
803#376—111no—
804#376—111no—
805C2×#95—111no—
806C2×#95—111no—
807C43—111no—
808C43—111no—
809C22×C11—22no—
810C22×C11—22no—
811C22×C11—22no—
812C22×C11—22no—
813C22×C11—22no—
814C22×C11—22no—
815C22×C11#53314yes—
816C22×C11C23×Q811yescharacteristic
817C22×C11C22×#4111yescharacteristic
818C22×C11C22×#4111yescharacteristic
819C22×C11C22×#4111yescharacteristic
820C22×C11C22×#4111yescharacteristic
821C22×C11C2×H(5,𝔽2)11yescharacteristic
822C22×C11C2×2−1+411yescharacteristic
823C4×C11—22no—
824C4×C11—22no—
825C4×C11—22no—
826C4×C11—22no—
827C4×C11—22no—
828C4×C11—41no—
829C4×C11—41no—
830C4×C11—41no—
831C4×C11—41no—
832C4×C11—41no—
833C4×C11—41no—
834C4×C11—41no—
835C4×C11—41no—
836C4×C11#54414yes—
837Dic11—22no—
838Dic11—22no—
839Dic11—22no—
840Dic11—22no—
841Dic11—22no—
842Dic11—22no—
843Dic11—22no—
844Dic11—41no—
845Dic11—41no—
846Dic11—41no—
847Dic11—41no—
848Dic11—41no—
849Dic11—41no—
850Dic11—41no—
851Dic11—41no—
852Dic11#53314yes—
853C22×Q8—111no—
854C22×Q8—111no—
855C22×Q8—111no—
856C22×Q8C22×D1111yescharacteristic
857C23×C4—111no—
858C23×C4—111no—
859C23×C4—111no—
860C23×C4—111no—
861C23×C4C22×D1111yescharacteristic
862C23×C4C22×D1111yescharacteristic
863C23×C4C22×D1111yescharacteristic
864C4⋊Q8—224no—
865C4⋊Q8—224no—
866#125—224no—
867#125—224no—
868C22⋊Q8—24no—
869C22⋊Q8—224no—
870C22⋊Q8—224no—
871C22⋊Q8—224no—
872C4×Q8—42no—
873C4×Q8—442no—
874C4×Q8—442no—
875C4×Q8—442no—
876#117—224no—
877#117—224no—
878C2×C4⋊C4—111no—
879C2×C4⋊C4—111no—
880C2×C4⋊C4—111no—
881C2×C4⋊C4—111no—
882C2×C4⋊C4—111no—
883C2×C4⋊C4—111no—
884C2×C4⋊C4—111no—
885C2×C4⋊C4—111no—
886C2×C4⋊C4—111no—
887C2×C4⋊C4—111no—
888C2×C4⋊C4—111no—
889C2×C4⋊C4—111no—
890C2×C4⋊C4—111no—
891C2×C4⋊C4—111no—
892C2×C4⋊C4—111no—
893C2×C4⋊C4—111no—
894C2×C4⋊C4—111no—
895C2×C4⋊C4—111no—
896C2×C4⋊C4—111no—
897C2×C4⋊C4—111no—
898C2×C4⋊C4—111no—
899C2×C4⋊C4—111no—
900C2×C4⋊C4—111no—
901C2×C4⋊C4—111no—
902C2×C4⋊C4—111no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—111no—
911C2×C4⋊C4—111no—
912C2×C4⋊C4—111no—
913C2×C4⋊C4—111no—
914C2×C4⋊C4—111no—
915C2×C4⋊C4—111no—
916C2×C4⋊C4—111no—
917C2×C4⋊C4—111no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—224no—
922C2×C4⋊C4—224no—
923C2×C4⋊C4C22×D1111yescharacteristic
924C2×C4⋊C4C22×D1111yescharacteristic
925C2×C4⋊C4C22×D1111yescharacteristic
926C2×C4⋊C4C22×D1111yescharacteristic
927C2×C4⋊C4C22×D1111yescharacteristic
928C2×C4⋊C4C22×D1111yescharacteristic
929C2×C4⋊C4C22×D1111yescharacteristic
930C2×C4⋊C4C22×D1111yescharacteristic
931C2×C4⋊C4C22×D1111yescharacteristic
932C2×C22⋊C4—111no—
933C2×C22⋊C4—111no—
934C2×C22⋊C4—111no—
935C2×C22⋊C4—111no—
936C2×C22⋊C4C22×D1111yescharacteristic
937C2×C22⋊C4C22×D1111yescharacteristic
938C2×C22⋊C4C22×D1111yescharacteristic
939C2×C22⋊C4C22×D1111yescharacteristic
940C2×C42—42no—
941C2×C42—118no—
942C2×C42—111no—
943C2×C42—111no—
944C2×C42—111no—
945C2×C42—111no—
946C2×C42—111no—
947C2×C42—111no—
948C2×C42—111no—
949C2×C42—111no—
950C2×C42—111no—
951C2×C42—111no—
952C2×C42—111no—
953C2×C42—111no—
954C2×C42—111no—
955C2×C42—111no—
956C2×C42—111no—
957C2×C42—111no—
958C2×C42—111no—
959C2×C42—111no—
960C2×C42—111no—
961C2×C42—111no—
962C2×C42—442no—
963C2×C42C22×D1111yescharacteristic
964C2×C42C22×D1111yescharacteristic
965C2×C42C22×D1111yescharacteristic
966C2×C42C22×D1111yescharacteristic
967C2×C42C22×D1111yescharacteristic
968C2×C42C22×D1111yescharacteristic
969C2×C42C22×D1111yescharacteristic
970C2×C42C22×D1111yescharacteristic
971#95—111no—
972#95—111no—
973#95—111no—
974#95—111no—
975#95—111no—
976#95—111no—
977#95—111no—
978#95—111no—
979#95—111no—
980#95—111no—
981#95—111no—
982#95—111no—
983#95—111no—
984#95—111no—
985#95—111no—
986#95—111no—
987#95—111no—
988#95—111no—
989#95—111no—
990#95—111no—
991#95—111no—
992#95—111no—
993#95—111no—
994#95—111no—
995#95—111no—
996#95—111no—
997#95—111no—
998#95—111no—
999#95—111no—
1000#95—111no—
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95—111no—
1009#95—111no—
1010#95—111no—
1011#95—111no—
1012#95—111no—
1013#95—111no—
1014#95—111no—
1015#95—111no—
1016#95—111no—
1017#95C22×D1111yescharacteristic
1018#95C22×D1111yescharacteristic
1019#95C22×D1111yescharacteristic
1020#95C22×D1111yescharacteristic
1021#95C22×D1111yescharacteristic
1022#95C22×D1111yescharacteristic
1023#95C22×D1111yescharacteristic
1024#95C22×D1111yescharacteristic
1025#95C22×D1111yescharacteristic
1026#95C22×D1111yescharacteristic
1027C2×C11—24no—
1028C2×C11C2×#53311yescharacteristic
1029C2×C11C2×#53311yescharacteristic
1030C2×C11C2×#54411yescharacteristic
1031C2×C11#348111yescharacteristic
1032C2×C11#348111yescharacteristic
1033C2×C11#348211yescharacteristic
1034C2×C11#348211yescharacteristic
1035C24C23×D1111yescharacteristic
1036C2×Q8—22no—
1037C2×Q8—22no—
1038C2×Q8—41no—
1039C2×Q8—222no—
1040C2×Q8—222no—
1041C2×Q8—222no—
1042C2×Q8—222no—
1043C2×Q8—222no—
1044C2×Q8—222no—
1045C2×Q8—441no—
1046C2×Q8—441no—
1047C2×Q8—441no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—41no—
1055C22×C4—41no—
1056C22×C4—111no—
1057C22×C4—114no—
1058C22×C4—114no—
1059C22×C4—111no—
1060C22×C4—111no—
1061C22×C4—111no—
1062C22×C4—111no—
1063C22×C4—111no—
1064C22×C4—111no—
1065C22×C4—111no—
1066C22×C4—111no—
1067C22×C4—111no—
1068C22×C4—111no—
1069C22×C4—111no—
1070C22×C4—111no—
1071C22×C4—111no—
1072C22×C4—111no—
1073C22×C4—111no—
1074C22×C4—222no—
1075C22×C4—222no—
1076C22×C4—222no—
1077C22×C4—222no—
1078C22×C4—222no—
1079C22×C4—222no—
1080C22×C4—222no—
1081C22×C4—222no—
1082C22×C4—441no—
1083C22×C4—441no—
1084C22×C4Q8×D1114yes—
1085C22×C4C23×D1111yescharacteristic
1086C22×C4C23×D1111yescharacteristic
1087C22×C4C23×D1111yescharacteristic
1088C22×C4C23×D1111yescharacteristic
1089C22×C4C23×D1111yescharacteristic
1090C22×C4C23×D1111yescharacteristic
1091C22×C4C23×D1111yescharacteristic
1092C22×C4C23×D1111yescharacteristic
1093C22×C4C23×D1111yescharacteristic
1094C22×C4C23×D1111yescharacteristic
1095C22×C4C23×D1111yescharacteristic
1096C22×C4C23×D1111yescharacteristic
1097C22×C4C23×D1111yescharacteristic
1098C22×C4C23×D1111yescharacteristic
1099C4⋊C4—22no—
1100C4⋊C4—22no—
1101C4⋊C4—22no—
1102C4⋊C4—22no—
1103C4⋊C4—22no—
1104C4⋊C4—22no—
1105C4⋊C4—41no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—114no—
1109C4⋊C4—114no—
1110C4⋊C4—222no—
1111C4⋊C4—222no—
1112C4⋊C4—222no—
1113C4⋊C4—222no—
1114C4⋊C4—222no—
1115C4⋊C4—222no—
1116C4⋊C4—222no—
1117C4⋊C4—222no—
1118C4⋊C4—222no—
1119C4⋊C4—222no—
1120C4⋊C4—222no—
1121C4⋊C4—222no—
1122C4⋊C4—222no—
1123C4⋊C4—222no—
1124C4⋊C4—222no—
1125C4⋊C4—222no—
1126C4⋊C4—222no—
1127C4⋊C4—222no—
1128C4⋊C4—222no—
1129C4⋊C4—222no—
1130C4⋊C4—222no—
1131C4⋊C4—222no—
1132C4⋊C4—222no—
1133C4⋊C4—222no—
1134C4⋊C4—222no—
1135C4⋊C4—222no—
1136C4⋊C4—222no—
1137C4⋊C4—222no—
1138C4⋊C4—222no—
1139C4⋊C4—222no—
1140C4⋊C4—222no—
1141C4⋊C4—222no—
1142C4⋊C4—441no—
1143C4⋊C4—441no—
1144C4⋊C4—441no—
1145C4⋊C4—441no—
1146C4⋊C4—441no—
1147C4⋊C4—441no—
1148C4⋊C4—441no—
1149C4⋊C4—441no—
1150C4⋊C4—441no—
1151C22⋊C4—22no—
1152C22⋊C4—22no—
1153C22⋊C4—22no—
1154C22⋊C4—114no—
1155C22⋊C4—222no—
1156C22⋊C4—222no—
1157C22⋊C4—222no—
1158C22⋊C4#433914yes—
1159C42—22no—
1160C42—22no—
1161C42—22no—
1162C42—22no—
1163C42—22no—
1164C42—22no—
1165C42—41no—
1166C42—41no—
1167C42—114no—
1168C42—114no—
1169C42—114no—
1170C42—114no—
1171C42—222no—
1172C42—222no—
1173C42—222no—
1174C42—222no—
1175C42—222no—
1176C42—222no—
1177C42—222no—
1178C42—222no—
1179C42—222no—
1180C42—222no—
1181C42—222no—
1182C42—222no—
1183C42—222no—
1184C42—222no—
1185C42—441no—
1186C42—441no—
1187C11#3496611yescharacteristic, complemented, Sylow
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23C2×#433912yes—
1193C23C2×Q8×D1112yes—
1194C23#41×D1112yes—
1195C23C24×D1111yescharacteristic
1196Q8—44no—
1197Q8—444no—
1198Q8—444no—
1199Q8—444no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—28no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—44no—
1236C2×C4—44no—
1237C2×C4—112no—
1238C2×C4—112no—
1239C2×C4—112no—
1240C2×C4—112no—
1241C2×C4—112no—
1242C2×C4—112no—
1243C2×C4—112no—
1244C2×C4—112no—
1245C2×C4—112no—
1246C2×C4—112no—
1247C2×C4—228no—
1248C2×C4—228no—
1249C2×C4—221no—
1250C2×C4—221no—
1251C2×C4—221no—
1252C2×C4—221no—
1253C2×C4—221no—
1254C2×C4—221no—
1255C2×C4—221no—
1256C2×C4—221no—
1257C2×C4—221no—
1258C2×C4—221no—
1259C2×C4—221no—
1260C2×C4—221no—
1261C2×C4—221no—
1262C2×C4—221no—
1263C2×C4—221no—
1264C2×C4—221no—
1265C2×C4—221no—
1266C2×C4—221no—
1267C2×C4—221no—
1268C2×C4—221no—
1269C2×C4—221no—
1270C2×C4—221no—
1271C2×C4—221no—
1272C2×C4—221no—
1273C2×C4—221no—
1274C2×C4—221no—
1275C2×C4—221no—
1276C2×C4—221no—
1277C2×C4—221no—
1278C2×C4—221no—
1279C2×C4—221no—
1280C2×C4—221no—
1281C2×C4—221no—
1282C2×C4—221no—
1283C2×C4—221no—
1284C2×C4—221no—
1285C2×C4—221no—
1286C2×C4—221no—
1287C2×C4—444no—
1288C2×C4—444no—
1289C2×C4C2×#433912yes—
1290C2×C4C2×#433912yes—
1291C2×C4#6703712yes—
1292C2×C4C2×Q8×D1112yes—
1293C2×C4C2×Q8×D1112yes—
1294C2×C4#41×D1112yes—
1295C2×C4#41×D1112yes—
1296C2×C4#6704312yes—
1297C22—22no—
1298C22—22no—
1299C22—22no—
1300C22—22no—
1301C22—22no—
1302C22—22no—
1303C22#1062310914yes—
1304C22C22×#433911yescharacteristic
1305C22C2×#6703711yescharacteristic
1306C22C22×Q8×D1111yescharacteristic
1307C22C2×#41×D1111yescharacteristic
1308C22C2×#41×D1111yescharacteristic
1309C22C2×#41×D1111yescharacteristic
1310C22C2×#6704311yescharacteristic
1311C4—22no—
1312C4—22no—
1313C4—22no—
1314C4—22no—
1315C4—22no—
1316C4—41no—
1317C4—41no—
1318C4—41no—
1319C4—41no—
1320C4—41no—
1321C4—41no—
1322C4—41no—
1323C4—41no—
1324C4—114no—
1325C4—222no—
1326C4—222no—
1327C4—222no—
1328C4—222no—
1329C4—222no—
1330C4—222no—
1331C4—222no—
1332C4—441no—
1333C4—441no—
1334C4—441no—
1335C4—441no—
1336C4—441no—
1337C4—441no—
1338C4—441no—
1339C4—441no—
1340C4#1062315414yes—
1341C2—24no—
1342C2D11×#53311yescharacteristic
1343C2C2×#1062310911yescharacteristic
1344C2C2×#1062315411yescharacteristic
1345C2#1308221811yescharacteristic
1346C2#1308222011yescharacteristic
1347C2#1308222911yescharacteristic
1348C2#1308223111yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC4×C11×C22⋊Q8C2
prime radicalC24×C11C24
hypercenterC4×C22⋊Q8D11
hypocenterC11#34966
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. #13074275C2semidirect
2. #13074271C2semidirect
3. #13074266C2semidirect
4. #13074262C2semidirect
5. #13073849C2semidirect
6. #13073847C2semidirect
7. #13073636C2semidirect
8. #13073634C2semidirect
17. #13071923C2semidirect
18. #13071923C2semidirect
19. #13071910C2semidirect
20. #13071907C2semidirect
21. C4×#66941C2semidirect
22. C4×#66997C2semidirect
23. C4×#66942C2semidirect
24. C4×#66942C2semidirect
274. C2×C4×Dic11Q8semidirect
1187. C11#34966semidirect

Maximal subgroups

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

subgroupindex
#130742752
#130742712
#130742662
#130742622
#130738492
#130738472
#130736362
#130736342
#130723392
#130723372
#130723172
#130723152
#130722982
#130722962
#130722902
#130722882
#130719232
#130719102
#130719072
C4×#669412
C4×#669972
C4×#669422
C4×#669772
C4×#669312
#130710102
C4×#669302
C2×C4×Dic11⋊C42
C4×C11×C22⋊Q82
#3496611