Finite Group Databasebeta

← #14916485

Subgroups — #14916485

Order 2816.

2024 conjugacy classes of subgroups.

The subgroup lattice has 1380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623177C211yesmaximal, characteristic
2#13071807C211yesmaximal, characteristic, complemented
3#13071806C211yesmaximal, characteristic, complemented
4#13071803C211yesmaximal, characteristic, complemented
5#13071803C211yesmaximal, characteristic, complemented
6#13071800C211yesmaximal, characteristic, complemented
7#13071799C211yesmaximal, characteristic, complemented
8#13071795C211yesmaximal, characteristic, complemented
9#13071794C211yesmaximal, characteristic, complemented
10#13071785C211yesmaximal, characteristic
11#13071784C211yesmaximal, characteristic, complemented
12#13071778C211yesmaximal, characteristic, complemented
13#13071777C211yesmaximal, characteristic, complemented
14#13071760C211yesmaximal, characteristic
15#13071758C211yesmaximal, characteristic
16#13071187C211yesmaximal, characteristic, complemented
17#13071185C211yesmaximal, characteristic, complemented
18#13071175C211yesmaximal, characteristic, complemented
19#13071173C211yesmaximal, characteristic, complemented
20#13071170C211yesmaximal, characteristic, complemented
21#13071170C211yesmaximal, characteristic, complemented
22#13071166C211yesmaximal, characteristic, complemented
23#13071166C211yesmaximal, characteristic, complemented
24#13071157C211yesmaximal, characteristic
25#13071154C211yesmaximal, characteristic, complemented
26C22⋊Q8×Dic11C211yesmaximal, characteristic, complemented
27#13071150C211yesmaximal, characteristic, complemented
28#13071144C211yesmaximal, characteristic, complemented
29#13071143C211yesmaximal, characteristic
30#13071133C211yesmaximal, characteristic
31C11×#2378C211yesmaximal, characteristic, complemented
32C2×C11×C22⋊Q8C2211yescharacteristic
33C2×#66999C2211yescharacteristic
34C2×Q8×Dic11C2211yescharacteristic
35C2×#66997C2211yescharacteristic
36C2×#66982C2211yescharacteristic
37C2×#66977C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39#10623177C4116yescomplemented
40C2×#66951C2211yescharacteristic
41C2×#66951C2211yescharacteristic
42C2×#66949C2211yescharacteristic
43C2×#66943C2211yescharacteristic
44C2×#66942C2211yescharacteristic
45C2×#66941C2211yescharacteristic
46C2×#66940C2211yescharacteristic
47C2×#66940C2211yescharacteristic
48C2×#66938C2211yescharacteristic
49C2×#66936C2211yescharacteristic
50C2×(C22⋊D11)⋊C4C2211yescharacteristic
51C2×#66932C2211yescharacteristic
52C2×#66932C2211yescharacteristic
53C2×C42×D11C2211yescharacteristic
54C11×#391C2211yescharacteristic
55C11×#391C2211yescharacteristic
56C11×#389C2211yescharacteristic
57C11×#389C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#388C2211yescharacteristic
60C11×#388C2211yescharacteristic
61C11×#388C2211yescharacteristic
62C11×#387C2211yescharacteristic
63C11×#387C2211yescharacteristic
64C11×#387C2211yescharacteristic
65C11×#387C2211yescharacteristic
66C11×#381C2211yescharacteristic
67C11×#380C2211yescharacteristic
68#10622843C2211yescharacteristic
69#10622825C2211yescharacteristic
70#10622603C2211yescharacteristic
71#10622603C2211yescharacteristic
72#10622603C2211yescharacteristic
73#10622602C2211yescharacteristic
74#10622602C2211yescharacteristic
75#10622600C2211yescharacteristic
76#10622598C2211yescharacteristic
77#10622594C2211yescharacteristic
78#10622594C2211yescharacteristic
79#10622591C2211yescharacteristic
80#10622591C2211yescharacteristic
81#10622591C2211yescharacteristic
82#10622591C2211yescharacteristic
83#10622590C2211yescharacteristic
84#10622589C2211yescharacteristic
85#10622589C2211yescharacteristic
86C4⋊C4×Dic11C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93#10622587C2211yescharacteristic
94#10622586C2211yescharacteristic
95#10622585C2211yescharacteristic
96#10622585C2211yescharacteristic
97#10622585C2211yescharacteristic
98#10622571C2211yescharacteristic
99#10622570C2211yescharacteristic
100#10622569C2211yescharacteristic
101#10622563C2211yescharacteristic
102#10622563C2211yescharacteristic
103#10622559C2211yescharacteristic
104#10622559C2211yescharacteristic
105#10622559C2211yescharacteristic
106#10622558C2211yescharacteristic
107#10622558C2211yescharacteristic
108#10622558C2211yescharacteristic
109#10622557C2211yescharacteristic
110#10622557C2211yescharacteristic
111#10622557C2211yescharacteristic
112C22⋊C4×Dic11C2211yescharacteristic
113C22⋊C4×Dic11C2211yescharacteristic
114C22⋊C4×Dic11C2211yescharacteristic
115C22⋊C4×Dic11C2211yescharacteristic
116C22⋊C4×Dic11C2211yescharacteristic
117#10622553C2211yescharacteristic
118#10622553C2211yescharacteristic
119#10622553C2211yescharacteristic
120#10622546C2211yescharacteristic
121#10622546C2211yescharacteristic
122#10622546C2211yescharacteristic
123#10622546C2211yescharacteristic
124#10622546C2211yescharacteristic
125C42×Dic11C2211yescharacteristic
126C42×Dic11C2211yescharacteristic
127C42×Dic11C2211yescharacteristic
128#10622542C2211yescharacteristic
129#10622541C2211yescharacteristic
130#10622541C2211yescharacteristic
131#10622541C2211yescharacteristic
132#10622283C2211yescharacteristic
133#10622283C2211yescharacteristic
134#10622282C2211yescharacteristic
135#10622282C2211yescharacteristic
136#10622281C2211yescharacteristic
137#10622281C2211yescharacteristic
138#10622281C2211yescharacteristic
139#10622280C2211yescharacteristic
140#10622279C2211yescharacteristic
141#10622279C2211yescharacteristic
142#10622279C2211yescharacteristic
143#10622279C2211yescharacteristic
144#10622279C2211yescharacteristic
145#10622277C2211yescharacteristic
146#10622268C2211yescharacteristic
147#10622268C2211yescharacteristic
148#10622268C2211yescharacteristic
149#10622268C2211yescharacteristic
150#10622268C2211yescharacteristic
151#10622267C2211yescharacteristic
152#10622267C2211yescharacteristic
153#10622267C2211yescharacteristic
154#10622266C2211yescharacteristic
155#10622266C2211yescharacteristic
156#10622266C2211yescharacteristic
157#10622266C2211yescharacteristic
158#10622266C2211yescharacteristic
159#10622265C2211yescharacteristic
160#10622265C2211yescharacteristic
161#10622265C2211yescharacteristic
162#10622265C2211yescharacteristic
163#10622264C2211yescharacteristic
164#10622264C2211yescharacteristic
165#10622264C2211yescharacteristic
166#10622264C2211yescharacteristic
167#10622263C2211yescharacteristic
168#10622263C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×Dic22C2311yescharacteristic
197C22×Dic22C2311yescharacteristic
198C11×C22⋊Q8C2×C418yescomplemented
199C2×C11×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C22⋊Dic11C2311yescharacteristic
219C2×C22⋊Dic11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223#66999C2×C418yescomplemented
224Q8×Dic11—42no—
225#66997C2×C418yescomplemented
226#66982C2×C418yes—
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×C4⋊Dic11C2311yescharacteristic
239C2×C4⋊Dic11C2311yescharacteristic
240C2×C4⋊Dic11C2311yescharacteristic
241C2×C4⋊Dic11C2311yescharacteristic
242C2×C4⋊Dic11C2311yescharacteristic
243C2×C4⋊Dic11C2311yescharacteristic
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248#66977C2×C418yescomplemented
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×C4×Dic11—42no—
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
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
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298#66951C2×C418yescomplemented
299#66951C2×C418yescomplemented
300#66949C2×C418yescomplemented
301#66943C2×C418yescomplemented
302#66942C2×C418yescomplemented
303#66941C2×C418yescomplemented
304#66940—42no—
305#66940—42no—
306#66938C2×C418yes—
307#66936C2×C418yes—
308(C22⋊D11)⋊C4—42no—
309#66932C2×C418yescomplemented
310#66932C2×C418yescomplemented
311C42×D11—42no—
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C4×#563—111nomaximal, Sylow
365C24×C11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C2×Q8×C11—41no—
368C2×Q8×C11—41no—
369C2×Q8×C11C22×C414yes—
370C22×C4×C11—41no—
371C22×C4×C11—41no—
372C22×C4×C11C22×C414yes—
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
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
387C2×C22⋊D11—41no—
388C2×C22⋊D11—41no—
389C2×C22⋊D11C22×C414yes—
390C22×Dic11—22no—
391C22×Dic11—22no—
392C22×Dic11—22no—
393C22×Dic11—41no—
394C22×Dic11—41no—
395C22×Dic11—41no—
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—41no—
415C2×C4×D11—41no—
416C2×C4×D11—41no—
417C2×C4×D11—41no—
418C2×C4×D11—41no—
419C2×C4×D11C22×C414yes—
420C2×Dic22—41no—
421C2×Dic22—41no—
422C2×Dic22—41no—
423C2×Dic22—41no—
424C2×Dic22C22×C414yes—
425C2×Dic22C22×C414yes—
426C11×C4⋊C4—41no—
427C11×C4⋊C4—41no—
428C11×C4⋊C4—41no—
429C11×C4⋊C4—41no—
430C11×C4⋊C4—41no—
431C11×C4⋊C4—41no—
432C11×C4⋊C4C22×C414yes—
433C11×C4⋊C4C22×C414yes—
434C11×C4⋊C4C22×C414yes—
435C11×C22⋊C4—41no—
436C11×C22⋊C4—41no—
437C11×C22⋊C4—41no—
438C11×C22⋊C4—41no—
439C11×C22⋊C4C22×C414yes—
440C11×C22⋊C4C22×C414yes—
441C42×C11—41no—
442C42×C11—41no—
443C42×C11—41no—
444C42×C11—41no—
445C22⋊Dic11—41no—
446C22⋊Dic11—41no—
447C22⋊Dic11C22×C414yes—
448C22⋊Dic11C22×C414yes—
449C22⋊Dic11C22×C414yes—
450(C2×D11)⋊C4—41no—
451(C2×D11)⋊C4—41no—
452(C2×D11)⋊C4—41no—
453(C2×D11)⋊C4—41no—
454(C2×D11)⋊C4—41no—
455(C2×D11)⋊C4—41no—
456(C2×D11)⋊C4C22×C414yes—
457(C2×D11)⋊C4C22×C414yes—
458(C2×D11)⋊C4C22×C414yes—
459(C2×D11)⋊C4C22×C414yes—
460(C2×D11)⋊C4C22×C414yes—
461C4⋊Dic11—41no—
462C4⋊Dic11—41no—
463C4⋊Dic11—41no—
464C4⋊Dic11—41no—
465C4⋊Dic11—41no—
466C4⋊Dic11—41no—
467C4⋊Dic11C22×C414yes—
468C4⋊Dic11C22×C414yes—
469C4⋊Dic11C22×C414yes—
470C4⋊Dic11C22×C414yes—
471Dic11⋊C4—41no—
472Dic11⋊C4—41no—
473Dic11⋊C4—41no—
474Dic11⋊C4—41no—
475Dic11⋊C4—41no—
476Dic11⋊C4—41no—
477Dic11⋊C4—41no—
478Dic11⋊C4—41no—
479Dic11⋊C4—41no—
480Dic11⋊C4—41no—
481Dic11⋊C4—41no—
482Dic11⋊C4—41no—
483Dic11⋊C4—41no—
484Dic11⋊C4—41no—
485Dic11⋊C4C22×C414yes—
486Dic11⋊C4C22×C414yes—
487Dic11⋊C4C22×C414yes—
488Dic11⋊C4C22×C414yes—
489Dic11⋊C4C22×C414yes—
490Dic11⋊C4C22×C414yes—
491Dic11⋊C4C22×C414yes—
492Dic11⋊C4C22×C414yes—
493Dic11⋊C4C22×C414yes—
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—41no—
508C4×Dic11—41no—
509C4×Dic11—41no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11—41no—
513C4×Dic11—41no—
514C4×Dic11—41no—
515C4×Dic11—41no—
516C4×Dic11C22×C414yes—
517C4×Dic11C22×C414yes—
518C4×Dic11C22×C414yes—
519C2×#563—111no—
520#2383—111no—
521#2383—111no—
522#2383—111no—
523#2383—111no—
524#2382—111no—
525#2382—111no—
526#2381—111no—
527#2381—111no—
528#2379—111no—
529#2378—111no—
530#2378—111no—
531#2378—111no—
532#2378D1111yescharacteristic, complemented
533#2376—111no—
534#2376—111no—
535C4×C4⋊Q8—111no—
536C4×C4⋊Q8—111no—
537C4×#125—111no—
538C4×#125—111no—
539C4×#126—111no—
540C4×#126—111no—
541C4×#126—111no—
542C4×#126—111no—
543C4×#124—111no—
544C4×C22⋊Q8—111no—
545C4×C22⋊Q8—111no—
546C4×C22⋊Q8—111no—
547C4×C22⋊Q8—111no—
548C4×#123—111no—
549C4×#123—111no—
550C23×C11—21no—
551C23×C11—21no—
552C23×C11—21no—
553C23×C11—21no—
554C23×C11—21no—
555C23×C11—21no—
556C23×C11C23×C412yes—
557C23×C11C2511yescharacteristic
558C22×D11—21no—
559C22×D11—21no—
560C22×D11—21no—
561C22×D11—21no—
562C22×D11—21no—
563C22×D11—21no—
564C22×D11C23×C412yes—
565Q8×C11—44no—
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—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—44no—
603C2×C4×C11C23×C412yes—
604C2×C4×C11C23×C412yes—
605C2×C4×C11C23×C412yes—
606C2×C4×C11C23×C412yes—
607C2×C4×C11C23×C412yes—
608C2×C4×C11C23×C412yes—
609C22⋊D11—44no—
610C2×Dic11—21no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
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—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—44no—
646C2×Dic11—44no—
647C2×Dic11C23×C412yes—
648C2×Dic11C23×C412yes—
649C2×Dic11C23×C412yes—
650C2×Dic11C23×C412yes—
651C2×Dic11C23×C412yes—
652C2×Dic11C23×C412yes—
653C2×Dic11C23×C412yes—
654C2×Dic11H(5,𝔽2)12yes—
655C2×Dic112−1+412yes—
656C2×Dic112−1+412yes—
657C4×D11—44no—
658C4×D11—44no—
659C4×D11—44no—
660Dic22—44no—
661Dic22—44no—
662#563—1116no—
663C2×C4⋊Q8—111no—
664C2×C4⋊Q8—111no—
665C2×#126—111no—
666C2×#126—111no—
667C2×#126—111no—
668C2×#126—111no—
669C2×#125—111no—
670C2×#125—111no—
671C2×#124—111no—
672C2×#123—111no—
673C2×#123—111no—
674C2×C22⋊Q8—111no—
675C2×C22⋊Q8—111no—
676C2×C22⋊Q8—111no—
677C2×C22⋊Q8C2×D1111yescharacteristic
678C2×C4×Q8—111no—
679C2×C4×Q8—111no—
680C2×C4×Q8—111no—
681C2×C4×D4—111no—
682C22×C42—111no—
683C22×C42—111no—
684#391—111no—
685#391—111no—
686#391—111no—
687#391—111no—
688#391—111no—
689#391—111no—
690#391—111no—
691#391C2×D1111yescharacteristic
692#391C2×D1111yescharacteristic
693#390—111no—
694#389—111no—
695#389—111no—
696#389—111no—
697#389—111no—
698#389—111no—
699#389—111no—
700#389—111no—
701#389—111no—
702#389—111no—
703#389—111no—
704#389—111no—
705#389—111no—
706#389—111no—
707#389—111no—
708#389C2×D1111yescharacteristic
709#389C2×D1111yescharacteristic
710#388—111no—
711#388—111no—
712#388—111no—
713#388—111no—
714#388—111no—
715#388—111no—
716#388—111no—
717#388—111no—
718#388—111no—
719#388—111no—
720#388—111no—
721#388—111no—
722#388—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#388C2×D1111yescharacteristic
727#388C2×D1111yescharacteristic
728#388C2×D1111yescharacteristic
729#388C2×D1111yescharacteristic
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#387—111no—
744#387—111no—
745#387—111no—
746#387—111no—
747#387—111no—
748#387—111no—
749#387—111no—
750#387—111no—
751#387—111no—
752#387—111no—
753#387—111no—
754#387—111no—
755#387—111no—
756#387—111no—
757#387—111no—
758#387C2×D1111yescharacteristic
759#387C2×D1111yescharacteristic
760#387C2×D1111yescharacteristic
761#387C2×D1111yescharacteristic
762#386—111no—
763#386—111no—
764#385—111no—
765#385—111no—
766#385—111no—
767#385—111no—
768#385—111no—
769#385—111no—
770#385—111no—
771#385—111no—
772#385—111no—
773#385—111no—
774#384—111no—
775#384—111no—
776#383—111no—
777#383—111no—
778#383—111no—
779#383—111no—
780#382—111no—
781#382—111no—
782#382—111no—
783#381—111no—
784#381C2×D1111yescharacteristic
785#380—111no—
786#380—111no—
787#380—111no—
788#380C2×D1111yescharacteristic
789C4×C4⋊C4—111no—
790C4×C4⋊C4—111no—
791C4×C4⋊C4—111no—
792C4×C4⋊C4—111no—
793C4×C4⋊C4—111no—
794C4×C4⋊C4—111no—
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×C22⋊C4—111no—
806C4×C22⋊C4—111no—
807C4×C22⋊C4—111no—
808C4×C22⋊C4—111no—
809C4×C22⋊C4—111no—
810C4×C22⋊C4—111no—
811C4×C22⋊C4—111no—
812C4×C22⋊C4—111no—
813C4×C22⋊C4—111no—
814C4×C22⋊C4—111no—
815C43—111no—
816C43—111no—
817C43—111no—
818C22×C11—22no—
819C22×C11—22no—
820C22×C11—22no—
821C22×C11—41no—
822C22×C11—41no—
823C22×C11—41no—
824C22×C11—41no—
825C22×C11C24×C411yescharacteristic
826C22×C11C2×H(5,𝔽2)11yescharacteristic
827C22×C11C2×2−1+411yescharacteristic
828C22×C11C2×2−1+411yescharacteristic
829C22×C11#58511yescharacteristic
830C22×C11#58511yescharacteristic
831C22×C11#58511yescharacteristic
832C2×D11—22no—
833C2×D11—22no—
834C2×D11—22no—
835C2×D11—41no—
836C2×D11—41no—
837C2×D11—41no—
838C2×D11—41no—
839C4×C11—22no—
840C4×C11—22no—
841C4×C11—22no—
842C4×C11—22no—
843C4×C11—22no—
844C4×C11—22no—
845C4×C11—41no—
846C4×C11—41no—
847C4×C11—41no—
848C4×C11—41no—
849C4×C11—41no—
850C4×C11—41no—
851C4×C11—41no—
852C4×C11—41no—
853Dic11—22no—
854Dic11—22no—
855Dic11—22no—
856Dic11—22no—
857Dic11—22no—
858Dic11—22no—
859Dic11—22no—
860Dic11—41no—
861Dic11—41no—
862Dic11—41no—
863Dic11—41no—
864Dic11—41no—
865Dic11—41no—
866Dic11—41no—
867Dic11#56314yescomplemented
868C22×Q8—111no—
869C22×Q8—111no—
870C22×Q8C22×D1111yescharacteristic
871C22×D4—111no—
872C23×C4—111no—
873C23×C4—111no—
874C23×C4—111no—
875C23×C4—111no—
876C23×C4—111no—
877C23×C4C22×D1111yescharacteristic
878C4⋊Q8—118no—
879C4⋊Q8—118no—
880#126—118no—
881#126—118no—
882#126—118no—
883#126—118no—
884#125—118no—
885#125—118no—
886#124—118no—
887#123—118no—
888#123—118no—
889C22⋊Q8—118no—
890C22⋊Q8—118no—
891C22⋊Q8—118no—
892C22⋊Q8C4×D1118yescomplemented
893C4×Q8—442no—
894C4×Q8—442no—
895C4×Q8—442no—
896C4×D4—442no—
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—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⋊C4C22×D1111yescharacteristic
931C2×C4⋊C4C22×D1111yescharacteristic
932C2×C4⋊C4C22×D1111yescharacteristic
933C2×C4⋊C4C22×D1111yescharacteristic
934C2×C4⋊C4C22×D1111yescharacteristic
935C2×C4⋊C4C22×D1111yescharacteristic
936C2×C4⋊C4C22×D1111yescharacteristic
937C2×C4⋊C4C22×D1111yescharacteristic
938C2×C4⋊C4C22×D1111yescharacteristic
939C2×C22⋊C4—111no—
940C2×C22⋊C4—111no—
941C2×C22⋊C4—111no—
942C2×C22⋊C4—111no—
943C2×C22⋊C4—111no—
944C2×C22⋊C4—111no—
945C2×C22⋊C4—111no—
946C2×C22⋊C4—111no—
947C2×C22⋊C4—111no—
948C2×C22⋊C4—111no—
949C2×C22⋊C4—111no—
950C2×C22⋊C4—111no—
951C2×C22⋊C4—111no—
952C2×C22⋊C4—111no—
953C2×C22⋊C4—111no—
954C2×C22⋊C4—111no—
955C2×C22⋊C4C22×D1111yescharacteristic
956C2×C22⋊C4C22×D1111yescharacteristic
957C2×C22⋊C4C22×D1111yescharacteristic
958C2×C22⋊C4C22×D1111yescharacteristic
959C2×C22⋊C4C22×D1111yescharacteristic
960C2×C22⋊C4C22×D1111yescharacteristic
961C2×C42—111no—
962C2×C42—111no—
963C2×C42—111no—
964C2×C42—111no—
965C2×C42—111no—
966C2×C42—111no—
967C2×C42—111no—
968C2×C42—111no—
969C2×C42—111no—
970C2×C42—111no—
971C2×C42—111no—
972C2×C42—111no—
973C2×C42—111no—
974C2×C42—111no—
975C2×C42—111no—
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—111no—
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—442no—
987C2×C42—442no—
988C2×C42C22×D1111yescharacteristic
989C2×C42C22×D1111yescharacteristic
990C2×C42C22×D1111yescharacteristic
991C2×C42C22×D1111yescharacteristic
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#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#95C22×D1111yescharacteristic
1031#95C22×D1111yescharacteristic
1032#95C22×D1111yescharacteristic
1033#95C22×D1111yescharacteristic
1034#95C22×D1111yescharacteristic
1035#95C22×D1111yescharacteristic
1036#95C22×D1111yescharacteristic
1037#95C22×D1111yescharacteristic
1038#95C22×D1111yescharacteristic
1039#95C22×D1111yescharacteristic
1040#95C22×D1111yescharacteristic
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043#95C22×D1111yescharacteristic
1044C2×C11—42no—
1045C2×C11C4×H(5,𝔽2)11yescharacteristic
1046C2×C11C4×2−1+411yescharacteristic
1047C2×C11C4×2−1+411yescharacteristic
1048C2×C11C2×#56311yescharacteristic
1049C2×C11#352911yescharacteristic
1050C2×C11#353111yescharacteristic
1051C2×C11#353111yescharacteristic
1052D11—42no—
1053C24—111no—
1054C24C23×D1111yescharacteristic
1055C2×Q8—41no—
1056C2×Q8—41no—
1057C2×Q8—114no—
1058C2×Q8—114no—
1059C2×Q8—441no—
1060C2×Q8—441no—
1061C2×Q8—441no—
1062C2×Q8—441no—
1063C2×Q8C2×C4×D1114yes—
1064C2×D4—114no—
1065C2×D4—441no—
1066C2×D4—441no—
1067C22×C4—41no—
1068C22×C4—41no—
1069C22×C4—111no—
1070C22×C4—111no—
1071C22×C4—111no—
1072C22×C4—111no—
1073C22×C4—111no—
1074C22×C4—111no—
1075C22×C4—111no—
1076C22×C4—111no—
1077C22×C4—114no—
1078C22×C4—111no—
1079C22×C4—111no—
1080C22×C4—111no—
1081C22×C4—111no—
1082C22×C4—111no—
1083C22×C4—111no—
1084C22×C4—111no—
1085C22×C4—222no—
1086C22×C4—222no—
1087C22×C4—222no—
1088C22×C4—222no—
1089C22×C4—222no—
1090C22×C4—222no—
1091C22×C4—441no—
1092C22×C4—441no—
1093C22×C4—441no—
1094C22×C4—441no—
1095C22×C4—441no—
1096C22×C4—441no—
1097C22×C4—441no—
1098C22×C4—441no—
1099C22×C4C2×C4×D1114yes—
1100C22×C4C23×D1111yescharacteristic
1101C22×C4C23×D1111yescharacteristic
1102C22×C4C23×D1111yescharacteristic
1103C22×C4C23×D1111yescharacteristic
1104C22×C4C23×D1111yescharacteristic
1105C22×C4C23×D1111yescharacteristic
1106C22×C4C23×D1111yescharacteristic
1107C22×C4C23×D1111yescharacteristic
1108C22×C4C23×D1111yescharacteristic
1109C22×C4C23×D1111yescharacteristic
1110C22×C4C23×D1111yescharacteristic
1111C22×C4C23×D1111yescharacteristic
1112C22×C4C23×D1111yescharacteristic
1113C22×C4C23×D1111yescharacteristic
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—41no—
1120C4⋊C4—114no—
1121C4⋊C4—114no—
1122C4⋊C4—114no—
1123C4⋊C4—114no—
1124C4⋊C4—114no—
1125C4⋊C4—114no—
1126C4⋊C4—114no—
1127C4⋊C4—114no—
1128C4⋊C4—114no—
1129C4⋊C4—114no—
1130C4⋊C4—114no—
1131C4⋊C4—114no—
1132C4⋊C4—114no—
1133C4⋊C4—441no—
1134C4⋊C4—441no—
1135C4⋊C4—441no—
1136C4⋊C4—441no—
1137C4⋊C4—441no—
1138C4⋊C4—441no—
1139C4⋊C4—441no—
1140C4⋊C4—441no—
1141C4⋊C4—441no—
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—
1151C4⋊C4—441no—
1152C4⋊C4—441no—
1153C4⋊C4C2×C4×D1114yes—
1154C4⋊C4C2×C4×D1114yes—
1155C4⋊C4C2×C4×D1114yes—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—41no—
1160C22⋊C4—114no—
1161C22⋊C4—114no—
1162C22⋊C4—114no—
1163C22⋊C4—114no—
1164C22⋊C4—114no—
1165C22⋊C4—114no—
1166C22⋊C4—114no—
1167C22⋊C4—114no—
1168C22⋊C4—441no—
1169C22⋊C4—441no—
1170C22⋊C4—441no—
1171C22⋊C4—441no—
1172C22⋊C4—441no—
1173C22⋊C4—441no—
1174C22⋊C4—441no—
1175C22⋊C4—441no—
1176C22⋊C4C2×C4×D1114yes—
1177C22⋊C4C2×C4×D1114yes—
1178C42—41no—
1179C42—41no—
1180C42—41no—
1181C42—41no—
1182C42—114no—
1183C42—114no—
1184C42—114no—
1185C42—222no—
1186C42—222no—
1187C42—222no—
1188C42—222no—
1189C42—222no—
1190C42—222no—
1191C42—222no—
1192C42—222no—
1193C42—222no—
1194C42—222no—
1195C42—222no—
1196C42—222no—
1197C42—222no—
1198C42—441no—
1199C42—441no—
1200C42—441no—
1201C42—441no—
1202C42—441no—
1203C42—441no—
1204C42—441no—
1205C42—441no—
1206C42—441no—
1207C11C4×#56311yescharacteristic, complemented, Sylow
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—112no—
1215C23—221no—
1216C23—221no—
1217C23—221no—
1218C23—221no—
1219C23—221no—
1220C23—221no—
1221C23C22×C4×D1112yes—
1222C23C24×D1111yescharacteristic
1223Q8—44no—
1224Q8—444no—
1225Q8—444no—
1226D4—444no—
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—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—44no—
1264C2×C4—112no—
1265C2×C4—112no—
1266C2×C4—112no—
1267C2×C4—112no—
1268C2×C4—112no—
1269C2×C4—112no—
1270C2×C4—112no—
1271C2×C4—112no—
1272C2×C4—112no—
1273C2×C4—112no—
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—221no—
1288C2×C4—221no—
1289C2×C4—221no—
1290C2×C4—221no—
1291C2×C4—221no—
1292C2×C4—221no—
1293C2×C4—221no—
1294C2×C4—221no—
1295C2×C4—221no—
1296C2×C4—221no—
1297C2×C4—221no—
1298C2×C4—221no—
1299C2×C4—221no—
1300C2×C4—221no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—221no—
1309C2×C4—444no—
1310C2×C4—444no—
1311C2×C4—444no—
1312C2×C4—444no—
1313C2×C4—444no—
1314C2×C4C22×C4×D1112yes—
1315C2×C4C22×C4×D1112yes—
1316C2×C4C22×C4×D1112yes—
1317C2×C4C22×C4×D1112yes—
1318C2×C4C22×C4×D1112yes—
1319C2×C4C22×C4×D1112yes—
1320C22—22no—
1321C22—22no—
1322C22—22no—
1323C22—41no—
1324C22—41no—
1325C22—41no—
1326C22—41no—
1327C22—222no—
1328C22—222no—
1329C22—222no—
1330C22—441no—
1331C22—441no—
1332C22—441no—
1333C22—441no—
1334C22C23×C4×D1111yescharacteristic
1335C22D11×H(5,𝔽2)11yescharacteristic
1336C22#1062345511yescharacteristic
1337C22#1062345511yescharacteristic
1338C22D11×2−1+411yescharacteristic
1339C22D11×2−1+411yescharacteristic
1340C22#1062345711yescharacteristic
1341C4—22no—
1342C4—22no—
1343C4—22no—
1344C4—22no—
1345C4—22no—
1346C4—22no—
1347C4—41no—
1348C4—41no—
1349C4—41no—
1350C4—41no—
1351C4—41no—
1352C4—41no—
1353C4—41no—
1354C4—41no—
1355C4—114no—
1356C4—222no—
1357C4—222no—
1358C4—222no—
1359C4—222no—
1360C4—222no—
1361C4—222no—
1362C4—222no—
1363C4—441no—
1364C4—441no—
1365C4—441no—
1366C4—441no—
1367C4—441no—
1368C4—441no—
1369C4—441no—
1370C2—42no—
1371C2—442no—
1372C2#1308182011yescharacteristic
1373C2#1308182511yescharacteristic
1374C2#1308182711yescharacteristic
1375C2D11×#56311yescharacteristic
1376C2#1308275311yescharacteristic
1377C2#1308276011yescharacteristic
1378C2#1308276211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2378C2
socle, cosocleC23×C11C25
prime radicalC22×C22⋊D11C23
hypercenter#2378D11
hypocenterC11C4×#563
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2378

Complements

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

NH ≅ G/Ntype
2. #13071807C2semidirect
3. #13071806C2semidirect
4. #13071803C2semidirect
5. #13071803C2semidirect
6. #13071800C2semidirect
7. #13071799C2semidirect
8. #13071795C2semidirect
9. #13071794C2semidirect
11. #13071784C2semidirect
12. #13071778C2semidirect
13. #13071777C2semidirect
16. #13071187C2semidirect
17. #13071185C2semidirect
18. #13071175C2semidirect
19. #13071173C2semidirect
20. #13071170C2semidirect
21. #13071170C2semidirect
22. #13071166C2semidirect
23. #13071166C2semidirect
25. #13071154C2semidirect
26. C22⋊Q8×Dic11C2semidirect
27. #13071150C2semidirect
28. #13071144C2semidirect
31. C11×#2378C2semidirect
39. #10623177C4semidirect
198. C11×C22⋊Q8C2×C4semidirect
223. #66999C2×C4semidirect
225. #66997C2×C4semidirect
248. #66977C2×C4semidirect
298. #66951C2×C4semidirect
299. #66951C2×C4semidirect
300. #66949C2×C4semidirect
301. #66943C2×C4semidirect
302. #66942C2×C4semidirect
303. #66941C2×C4semidirect
309. #66932C2×C4semidirect
310. #66932C2×C4semidirect
532. #2378D11semidirect
867. Dic11#563semidirect
892. C22⋊Q8C4×D11semidirect
1207. C11C4×#563semidirect

Maximal subgroups

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

subgroupindex
C2×#106231772
#130718072
#130718062
#130718032
#130718002
#130717992
#130717952
#130717942
#130717852
#130717842
#130717782
#130717772
#130717602
#130717582
#130711872
#130711852
#130711752
#130711732
#130711702
#130711662
#130711572
#130711542
C22⋊Q8×Dic112
#130711502
#130711442
#130711432
#130711332
C11×#23782
C4×#56311