Finite Group Databasebeta

← C4×#10623236 #14913647

Subgroups — C4×#10623236 #14913647

Order 2816.

2732 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623236C211yesmaximal, characteristic
2#13071744C211yesmaximal, characteristic, complemented
3#13071743C211yesmaximal, characteristic, complemented
4#13071740C211yesmaximal, characteristic, complemented
5#13071723C211yesmaximal, characteristic, complemented
6#13071698C211yesmaximal, characteristic, complemented
7#13071693C211yesmaximal, characteristic, complemented
8#13071615C211yesmaximal, characteristic, complemented
9#13071601C211yesmaximal, characteristic, complemented
10#13071594C211yesmaximal, characteristic
11#13071555C211yesmaximal, characteristic, complemented
12#13071549C211yesmaximal, characteristic, complemented
13#13071473C211yesmaximal, characteristic, complemented
14#13071471C211yesmaximal, characteristic, complemented
15#13071464C211yesmaximal, characteristic, complemented
16#13071460C211yesmaximal, characteristic, complemented
17C4×#66932C211yesmaximal, characteristic, complemented
18C4×#66938C211yesmaximal, characteristic, complemented
19C4×#66950C211yesmaximal, characteristic, complemented
20C4×#66949C211yesmaximal, characteristic, complemented
21C4×#66947C211yesmaximal, characteristic, complemented
22C4×#66947C211yesmaximal, characteristic, complemented
23C4×#66936C211yesmaximal, characteristic, complemented
24C4×#66935C211yesmaximal, characteristic
25C42×D44C211yesmaximal, characteristic, complemented
26C4×#66946C211yesmaximal, characteristic, complemented
27C4×#66925C211yesmaximal, characteristic, complemented
28C4×#66945C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C4×C11×#126C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C4×C22⋊D11C2211yescharacteristic
35#10623236C4116yesdirect product factor
36C2×#66950C2211yescharacteristic
37C2×#66949C2211yescharacteristic
38C2×#66947C2211yescharacteristic
39C2×#66947C2211yescharacteristic
40C2×#66946C2211yescharacteristic
41C2×#66946C2211yescharacteristic
42C2×#66945C2211yescharacteristic
43C2×#66945C2211yescharacteristic
44C2×#66938C2211yescharacteristic
45C2×#66936C2211yescharacteristic
46C2×#66935C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×#66932C2211yescharacteristic
52C2×C4×D44C2211yescharacteristic
53C2×C4×D44C2211yescharacteristic
54C2×C4×D44C2211yescharacteristic
55C2×C4×D44C2211yescharacteristic
56C2×#66925C2211yescharacteristic
57C2×#66925C2211yescharacteristic
58C2×C42×D11C2211yescharacteristic
59C2×C42×D11C2211yescharacteristic
60C2×C42×D11C2211yescharacteristic
61C2×C42×D11C2211yescharacteristic
62C2×C42×D11C2211yescharacteristic, complemented
63C2×C4×Dic22C2211yescharacteristic, complemented
64C11×#388C2211yescharacteristic
65C11×#388C2211yescharacteristic
66C11×#388C2211yescharacteristic
67C11×#387C2211yescharacteristic, complemented
68C11×#387C2211yescharacteristic, complemented
69C11×#387C2211yescharacteristic, complemented
70C11×#383C2211yescharacteristic, complemented
71C4×C11×C4⋊C4C2211yescharacteristic, complemented
72C4×C11×C4⋊C4C2211yescharacteristic, complemented
73C4×C11×C4⋊C4C2211yescharacteristic, complemented
74C4×C11×C22⋊C4C2211yescharacteristic
75C4×C11×C22⋊C4C2211yescharacteristic
76C4×C11×C22⋊C4C2211yescharacteristic
77C43×C11C2211yescharacteristic, complemented
78C4×C22⋊Dic11C2211yescharacteristic
79C4×C22⋊Dic11C2211yescharacteristic
80#10622603C2211yescharacteristic, complemented
81#10622603C2211yescharacteristic, complemented
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622598C2211yescharacteristic, complemented
87#10622594C2211yescharacteristic, complemented
88#10622594C2211yescharacteristic, complemented
89#10622594C2211yescharacteristic, complemented
90C4⋊C4×Dic11C2211yescharacteristic, complemented
91C4⋊C4×Dic11C2211yescharacteristic, complemented
92C4⋊C4×Dic11C2211yescharacteristic, complemented
93C4⋊C4×Dic11C2211yescharacteristic, complemented
94#10622587C2211yescharacteristic, complemented
95#10622585C2211yescharacteristic, complemented
96#10622571C2211yescharacteristic
97#10622570C2211yescharacteristic
98#10622569C2211yescharacteristic
99#10622568C2211yescharacteristic
100#10622564C2211yescharacteristic
101#10622564C2211yescharacteristic
102#10622564C2211yescharacteristic
103#10622563C2211yescharacteristic
104#10622558C2211yescharacteristic
105#10622558C2211yescharacteristic
106#10622557C2211yescharacteristic
107#10622557C2211yescharacteristic
108C22⋊C4×Dic11C2211yescharacteristic
109C22⋊C4×Dic11C2211yescharacteristic
110C22⋊C4×Dic11C2211yescharacteristic
111C22⋊C4×Dic11C2211yescharacteristic
112C4×(C2×D11)⋊C4C2211yescharacteristic
113C4×(C2×D11)⋊C4C2211yescharacteristic
114C4×(C2×D11)⋊C4C2211yescharacteristic
115C4×(C2×D11)⋊C4C2211yescharacteristic
116C4×(C2×D11)⋊C4C2211yescharacteristic
117C4×(C2×D11)⋊C4C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
123C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
124C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
125C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
126C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
127C4×C4⋊Dic11C2211yescharacteristic, complemented
128C4×C4⋊Dic11C2211yescharacteristic, complemented
129C4×C4⋊Dic11C2211yescharacteristic, complemented
130C4×C4⋊Dic11C2211yescharacteristic, complemented
131#10622545C2211yescharacteristic, complemented
132#10622545C2211yescharacteristic, complemented
133C4×Dic11⋊C4C2211yescharacteristic, complemented
134C4×Dic11⋊C4C2211yescharacteristic, complemented
135C4×Dic11⋊C4C2211yescharacteristic, complemented
136C4×Dic11⋊C4C2211yescharacteristic, complemented
137C4×Dic11⋊C4C2211yescharacteristic, complemented
138C42×Dic11C2211yescharacteristic, complemented
139C42×Dic11C2211yescharacteristic, complemented
140#10622283C2211yescharacteristic, complemented
141#10622282C2211yescharacteristic, complemented
142#10622282C2211yescharacteristic, complemented
143#10622282C2211yescharacteristic, complemented
144#10622281C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic, complemented
150#10622280C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic, complemented
160#10622279C2211yescharacteristic, complemented
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622277C2211yescharacteristic
166#10622277C2211yescharacteristic
167#10622277C2211yescharacteristic, complemented
168D11×#95C2211yescharacteristic
169D11×#95C2211yescharacteristic
170D11×#95C2211yescharacteristic
171D11×#95C2211yescharacteristic
172#10622268C2211yescharacteristic, complemented
173#10622268C2211yescharacteristic, complemented
174#10622268C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622261C2211yescharacteristic, complemented
185#10622261C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×C4×D11—24no—
195C22×C4×D11—24no—
196C22×C4×D11—42no—
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×#126C2×C418yescomplemented
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C4×C22⋊D11—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
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×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
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304#66950C2×C418yescomplemented
305#66949C2×C418yescomplemented
306#66947C2×C418yescomplemented
307#66947C2×C418yescomplemented
308#66946—24no—
309#66946C2×C418yescomplemented
310#66945—24no—
311#66945C2×C418yescomplemented
312#66938C2×C418yescomplemented
313#66936C2×C418yescomplemented
314#66935C2×C418yes—
315C22⋊C4×D11—24no—
316C22⋊C4×D11—24no—
317C22⋊C4×D11C2×C418yescomplemented
318C22⋊C4×D11C2×C418yescomplemented
319#66932C2×C418yescomplemented
320C4×D44—24no—
321C4×D44—24no—
322C4×D44—24no—
323C4×D44C2×C418yescomplemented
324#66925—24no—
325#66925C2×C418yescomplemented
326C42×D11—24no—
327C42×D11—24no—
328C42×D11—42no—
329C42×D11—42no—
330C42×D11—42no—
331C4×Dic22—42no—
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
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C4×#551—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C23×D11—22no—
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11C22×C414yes—
385C23×D11C2411yescharacteristic
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C2×C22⋊D11—41no—
406C2×C22⋊D11—41no—
407C2×C22⋊D11C22×C414yes—
408C22×Dic11—22no—
409C22×Dic11—22no—
410C22×Dic11—41no—
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C2×D44—22no—
425C2×D44—22no—
426C2×D44—22no—
427C2×D44—22no—
428C2×D44C22×C414yes—
429C2×D44C22×C414yes—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—416no—
469C2×C4×D11C22×C414yes—
470C2×C4×D11C22×C414yes—
471C2×C4×D11C22×C414yes—
472C2×C4×D11C22×C414yes—
473C2×C4×D11C22×C414yescomplemented
474C2×C4×D11#4114yes—
475C2×C4×D11#4114yes—
476C2×Dic22—41no—
477C2×Dic22—41no—
478C2×Dic22C22×C414yescomplemented
479C11×C4⋊C4—22no—
480C11×C4⋊C4—22no—
481C11×C4⋊C4—41no—
482C11×C4⋊C4C22×C414yescomplemented
483C11×C4⋊C4C22×C414yescomplemented
484C11×C4⋊C4C22×C414yescomplemented
485C11×C22⋊C4—22no—
486C11×C22⋊C4—22no—
487C11×C22⋊C4—41no—
488C11×C22⋊C4C22×C414yes—
489C11×C22⋊C4C22×C414yes—
490C11×C22⋊C4C22×C414yes—
491C42×C11—22no—
492C42×C11—22no—
493C42×C11—22no—
494C42×C11—22no—
495C42×C11—22no—
496C42×C11—22no—
497C42×C11—22no—
498C42×C11—22no—
499C42×C11—41no—
500C42×C11C22×C414yescomplemented
501C22⋊Dic11—22no—
502C22⋊Dic11—22no—
503C22⋊Dic11—41no—
504C22⋊Dic11C22×C414yes—
505C22⋊Dic11C22×C414yes—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4C22×C414yes—
519(C2×D11)⋊C4C22×C414yes—
520(C2×D11)⋊C4C22×C414yes—
521(C2×D11)⋊C4C22×C414yes—
522(C2×D11)⋊C4C22×C414yes—
523(C2×D11)⋊C4C22×C414yes—
524(C2×D11)⋊C4C22×C414yescomplemented
525(C2×D11)⋊C4C22×C414yescomplemented
526(C2×D11)⋊C4C22×C414yescomplemented
527(C2×D11)⋊C4#4114yes—
528(C2×D11)⋊C4#4114yes—
529C4⋊Dic11—22no—
530C4⋊Dic11—22no—
531C4⋊Dic11—22no—
532C4⋊Dic11—22no—
533C4⋊Dic11—41no—
534C4⋊Dic11C22×C414yescomplemented
535C4⋊Dic11C22×C414yescomplemented
536Dic11⋊C4—22no—
537Dic11⋊C4—22no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4C22×C414yescomplemented
543Dic11⋊C4C22×C414yescomplemented
544Dic11⋊C4C22×C414yescomplemented
545C4×Dic11—22no—
546C4×Dic11—22no—
547C4×Dic11—22no—
548C4×Dic11—22no—
549C4×Dic11—22no—
550C4×Dic11—22no—
551C4×Dic11—22no—
552C4×Dic11—22no—
553C4×Dic11—22no—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—22no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563C4×Dic11—41no—
564C4×Dic11—41no—
565C4×Dic11—41no—
566C4×Dic11C22×C414yescomplemented
567C4×Dic11C22×C414yescomplemented
568C2×#551—111no—
569#2374—111no—
570#2373—111no—
571#2373—111no—
572#2372—111no—
573#2368—111no—
574#2368—111no—
575#2359—111no—
576#2359—111no—
577#2358—111no—
578#2353—111no—
579#2353—111no—
580#2343—111no—
581#2343—111no—
582#2342—111no—
583#2342—111no—
584C4×#126—111no—
585C4×#126D1111yescharacteristic, complemented
586C4×#124—111no—
587C4×C22⋊Q8—111no—
588C4×C22⋊Q8—111no—
589C4×#123—111no—
590C4×#123—111no—
591C4×#123—111no—
592C4×#120—111no—
593C42×D4—111no—
594C42×D4—111no—
595C4×#117—111no—
596C4×#117—111no—
597C2×C4×C22⋊C4—111no—
598C2×C4×C22⋊C4—111no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11C23×C412yes—
606C23×C11C2511yescharacteristic
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—28no—
622C22×D11—28no—
623C22×D11—44no—
624C22×D11—44no—
625C22×D11—44no—
626C22×D11—44no—
627C22×D11—44no—
628C22×D11C23×C412yes—
629C22×D11C23×C412yes—
630C22×D11C23×C412yes—
631C22×D11C2×#4112yes—
632C22×D11C2×#4112yes—
633C22×D11C2×#4112yes—
634C22×D11C2×#4112yes—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—44no—
667C2×C4×C11C23×C412yes—
668C2×C4×C11C23×C412yes—
669C2×C4×C11C23×C412yes—
670C2×C4×C11C23×C412yes—
671C2×C4×C11C23×C412yes—
672C2×C4×C11C23×C412yes—
673C2×C4×C11C2×#4112yes—
674C2×C4×C11C2×#4112yes—
675C2×C4×C11C2×#4112yes—
676C2×C4×C11C2×#4112yes—
677C2×C4×C11H(5,𝔽2)12yes—
678C22⋊D11—44no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—44no—
710C2×Dic11C23×C412yes—
711C2×Dic11C23×C412yes—
712C2×Dic11C23×C412yes—
713C2×Dic11C23×C412yes—
714C2×Dic11C23×C412yes—
715C2×Dic11C2×#4112yes—
716C2×Dic11C2×#4112yes—
717C2×Dic11C2×#4112yes—
718C2×Dic11C2×#4112yes—
719D44—28no—
720D44—28no—
721C4×D11—28no—
722C4×D11—28no—
723C4×D11—28no—
724C4×D11—28no—
725C4×D11—44no—
726C4×D11—44no—
727C4×D11—44no—
728C4×D11—44no—
729C4×D11—44no—
730C4×D11—44no—
731C4×D11—44no—
732C4×D11—44no—
733C4×D11—44no—
734C4×D11—44no—
735C4×D11—44no—
736Dic22—44no—
737C24×C4—111no—
738#551—1116no—
739C2×#126—111no—
740C2×#126C2×D1111yescharacteristic
741C2×#124—111no—
742C2×#123—111no—
743C2×#123—111no—
744C2×#123—111no—
745C2×C22⋊Q8—111no—
746C2×C22⋊Q8—111no—
747C2×#120—111no—
748C2×C4×Q8—111no—
749C2×C4×D4—111no—
750C2×C4×D4—111no—
751C2×C4×D4—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×C4×D4—111no—
755C2×C4×D4—111no—
756C2×#117—111no—
757C2×#117—111no—
758C2×#117—111no—
759C2×#117—111no—
760C22×C22⋊C4—111no—
761C22×C22⋊C4—111no—
762C22×C22⋊C4—111no—
763C22×C22⋊C4—111no—
764C22×C42—111no—
765C22×C42—111no—
766C22×C42—111no—
767C22×C42—111no—
768C22×C42—111no—
769#391—111no—
770#391—111no—
771#391—111no—
772#390—111no—
773#389—111no—
774#389—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388C2×D1111yescharacteristic
789#388C2×D1111yescharacteristic
790#388C2×D1111yescharacteristic
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—111no—
804#387C2×D1111yescharacteristic, complemented
805#387C2×D1111yescharacteristic, complemented
806#387C2×D1111yescharacteristic, complemented
807#386—111no—
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—111no—
813#385—111no—
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#385—111no—
823#383—111no—
824#383C2×D1111yescharacteristic, complemented
825#382—111no—
826#381—111no—
827#381—111no—
828#381—111no—
829#380—111no—
830#380—111no—
831#379—111no—
832C4×C4⋊C4—111no—
833C4×C4⋊C4—111no—
834C4×C4⋊C4—111no—
835C4×C4⋊C4—111no—
836C4×C4⋊C4—111no—
837C4×C4⋊C4—111no—
838C4×C4⋊C4—111no—
839C4×C4⋊C4—111no—
840C4×C4⋊C4—111no—
841C4×C4⋊C4—111no—
842C4×C4⋊C4—111no—
843C4×C4⋊C4—111no—
844C4×C4⋊C4—111no—
845C4×C4⋊C4C2×D1111yescharacteristic, complemented
846C4×C4⋊C4C2×D1111yescharacteristic, complemented
847C4×C4⋊C4C2×D1111yescharacteristic, complemented
848C4×C22⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4—111no—
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
853C4×C22⋊C4—111no—
854C4×C22⋊C4—111no—
855C4×C22⋊C4—111no—
856C4×C22⋊C4—111no—
857C4×C22⋊C4—111no—
858C4×C22⋊C4—111no—
859C4×C22⋊C4—111no—
860C4×C22⋊C4—111no—
861C4×C22⋊C4—111no—
862C4×C22⋊C4—111no—
863C4×C22⋊C4—111no—
864C4×C22⋊C4—111no—
865C4×C22⋊C4—111no—
866C4×C22⋊C4—111no—
867C4×C22⋊C4—111no—
868C4×C22⋊C4—111no—
869C4×C22⋊C4—111no—
870C4×C22⋊C4—111no—
871C4×C22⋊C4—111no—
872C4×C22⋊C4—111no—
873C4×C22⋊C4—111no—
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4C2×D1111yescharacteristic
880C4×C22⋊C4C2×D1111yescharacteristic
881C4×C22⋊C4C2×D1111yescharacteristic
882#376—111no—
883#376—111no—
884#376—111no—
885#376—111no—
886C2×#95—111no—
887C2×#95—111no—
888C2×#95—111no—
889C2×#95—111no—
890C43—111no—
891C43—111no—
892C43C2×D1111yescharacteristic, complemented
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11C24×C411yescharacteristic
901C22×C11C22×#4111yescharacteristic
902C22×C11C22×#4111yescharacteristic
903C22×C11C22×#4111yescharacteristic
904C22×C11C22×#4111yescharacteristic
905C22×C11C2×H(5,𝔽2)11yescharacteristic
906C22×C11#58511yescharacteristic
907C2×D11—22no—
908C2×D11—22no—
909C2×D11—22no—
910C2×D11—22no—
911C2×D11—22no—
912C2×D11—22no—
913C2×D11—22no—
914C2×D11—22no—
915C2×D11—22no—
916C2×D11—22no—
917C2×D11—22no—
918C2×D11—22no—
919C2×D11—22no—
920C2×D11—22no—
921C2×D11—22no—
922C2×D11—416no—
923C2×D11—41no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11C4×#4114yes—
928C2×D11C4×#4114yes—
929C4×C11—22no—
930C4×C11—22no—
931C4×C11—22no—
932C4×C11—22no—
933C4×C11—22no—
934C4×C11—22no—
935C4×C11—22no—
936C4×C11—22no—
937C4×C11—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11#55114yescomplemented
943Dic11—22no—
944Dic11—22no—
945Dic11—22no—
946Dic11—22no—
947Dic11—22no—
948Dic11—22no—
949Dic11—22no—
950Dic11—22no—
951Dic11—22no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956C25—111no—
957C22×Q8—111no—
958C22×D4—111no—
959C22×D4—111no—
960C22×D4—111no—
961C23×C4—111no—
962C23×C4—111no—
963C23×C4—111no—
964C23×C4—111no—
965C23×C4—111no—
966C23×C4—111no—
967C23×C4—111no—
968C23×C4—111no—
969C23×C4—111no—
970C23×C4—111no—
971C23×C4—111no—
972C23×C4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—111no—
976C23×C4—111no—
977C23×C4—224no—
978C23×C4—224no—
979C23×C4—442no—
980C23×C4C22×D1111yescharacteristic
981#126—118no—
982#126C4×D1118yescomplemented
983#124—118no—
984#123—118no—
985#123—118no—
986#123—118no—
987C22⋊Q8—118no—
988C22⋊Q8—118no—
989#120—118no—
990C4×Q8—442no—
991C4×D4—118no—
992C4×D4—118no—
993C4×D4—224no—
994C4×D4—224no—
995C4×D4—224no—
996C4×D4—224no—
997C4×D4—442no—
998#117—118no—
999#117—118no—
1000#117—224no—
1001#117—224no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4C22×D1111yescharacteristic
1019C2×C4⋊C4C22×D1111yescharacteristic
1020C2×C4⋊C4C22×D1111yescharacteristic
1021C2×C4⋊C4C22×D1111yescharacteristic
1022C2×C4⋊C4C22×D1111yescharacteristic
1023C2×C4⋊C4C22×D1111yescharacteristic
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—118no—
1038C2×C22⋊C4—118no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—224no—
1055C2×C22⋊C4—224no—
1056C2×C22⋊C4C22×D1111yescharacteristic
1057C2×C22⋊C4C22×D1111yescharacteristic
1058C2×C22⋊C4C22×D1111yescharacteristic
1059C2×C22⋊C4C22×D1111yescharacteristic
1060C2×C22⋊C4C22×D1111yescharacteristic
1061C2×C22⋊C4C22×D1111yescharacteristic
1062C2×C42—111no—
1063C2×C42—111no—
1064C2×C42—111no—
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42—111no—
1068C2×C42—111no—
1069C2×C42—111no—
1070C2×C42—111no—
1071C2×C42—111no—
1072C2×C42—111no—
1073C2×C42—111no—
1074C2×C42—111no—
1075C2×C42—111no—
1076C2×C42—111no—
1077C2×C42—111no—
1078C2×C42—111no—
1079C2×C42—111no—
1080C2×C42—111no—
1081C2×C42—111no—
1082C2×C42—111no—
1083C2×C42—111no—
1084C2×C42—111no—
1085C2×C42—224no—
1086C2×C42—224no—
1087C2×C42—442no—
1088C2×C42—442no—
1089C2×C42—442no—
1090C2×C42C22×D1111yescharacteristic
1091C2×C42C22×D1111yescharacteristic
1092C2×C42C22×D1111yescharacteristic
1093C2×C42C22×D1111yescharacteristic
1094C2×C42C22×D1111yescharacteristic
1095C2×C42C22×D1111yescharacteristic
1096C2×C42C22×D1111yescharacteristic
1097C2×C42C22×D1111yescharacteristic
1098C2×C42C22×D1111yescharacteristic
1099C2×C42C22×D1111yescharacteristic
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95C22×D1111yescharacteristic
1133#95C22×D1111yescharacteristic
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144C2×C11—42no—
1145C2×C11C2×C4×#4111yescharacteristic
1146C2×C11C2×C4×#4111yescharacteristic
1147C2×C11C4×H(5,𝔽2)11yescharacteristic
1148C2×C11C2×#55111yescharacteristic
1149C2×C11#347511yescharacteristic
1150C2×C11#347511yescharacteristic
1151C2×C11#348111yescharacteristic
1152D11—24no—
1153D11—24no—
1154D11—42no—
1155C24—111no—
1156C24—111no—
1157C24—111no—
1158C24—114no—
1159C24—222no—
1160C24—222no—
1161C24—222no—
1162C24—222no—
1163C24—441no—
1164C24—441no—
1165C24C23×D1111yescharacteristic
1166C2×Q8—114no—
1167C2×Q8—441no—
1168C2×Q8—441no—
1169C2×D4—114no—
1170C2×D4—114no—
1171C2×D4—114no—
1172C2×D4—222no—
1173C2×D4—222no—
1174C2×D4—222no—
1175C2×D4—222no—
1176C2×D4—441no—
1177C2×D4—441no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—111no—
1182C22×C4—111no—
1183C22×C4—111no—
1184C22×C4—111no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—111no—
1189C22×C4—111no—
1190C22×C4—114no—
1191C22×C4—114no—
1192C22×C4—114no—
1193C22×C4—114no—
1194C22×C4—114no—
1195C22×C4—114no—
1196C22×C4—114no—
1197C22×C4—111no—
1198C22×C4—111no—
1199C22×C4—111no—
1200C22×C4—111no—
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—222no—
1210C22×C4—222no—
1211C22×C4—222no—
1212C22×C4—222no—
1213C22×C4—222no—
1214C22×C4—222no—
1215C22×C4—222no—
1216C22×C4—222no—
1217C22×C4—222no—
1218C22×C4—222no—
1219C22×C4—222no—
1220C22×C4—222no—
1221C22×C4—222no—
1222C22×C4—222no—
1223C22×C4—222no—
1224C22×C4—222no—
1225C22×C4—222no—
1226C22×C4—222no—
1227C22×C4—222no—
1228C22×C4—441no—
1229C22×C4—441no—
1230C22×C4—441no—
1231C22×C4—441no—
1232C22×C4—441no—
1233C22×C4—441no—
1234C22×C4—441no—
1235C22×C4—441no—
1236C22×C4—441no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4—441no—
1241C22×C4—4416no—
1242C22×C4—441no—
1243C22×C4C23×D1111yescharacteristic
1244C22×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C22×C4C23×D1111yescharacteristic
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—41no—
1260C4⋊C4—114no—
1261C4⋊C4—114no—
1262C4⋊C4—114no—
1263C4⋊C4—114no—
1264C4⋊C4—114no—
1265C4⋊C4—222no—
1266C4⋊C4—222no—
1267C4⋊C4—222no—
1268C4⋊C4—222no—
1269C4⋊C4—222no—
1270C4⋊C4—222no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4C2×C4×D1114yescomplemented
1277C4⋊C4C2×C4×D1114yescomplemented
1278C4⋊C4C2×C4×D1114yescomplemented
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—41no—
1282C22⋊C4—114no—
1283C22⋊C4—114no—
1284C22⋊C4—114no—
1285C22⋊C4—114no—
1286C22⋊C4—114no—
1287C22⋊C4—114no—
1288C22⋊C4—114no—
1289C22⋊C4—114no—
1290C22⋊C4—114no—
1291C22⋊C4—114no—
1292C22⋊C4—114no—
1293C22⋊C4—114no—
1294C22⋊C4—114no—
1295C22⋊C4—222no—
1296C22⋊C4—222no—
1297C22⋊C4—222no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—222no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
1306C22⋊C4—222no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4C2×C4×D1114yes—
1311C22⋊C4C2×C4×D1114yes—
1312C22⋊C4C2×C4×D1114yes—
1313C42—22no—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—41no—
1322C42—114no—
1323C42—114no—
1324C42—222no—
1325C42—222no—
1326C42—222no—
1327C42—222no—
1328C42—222no—
1329C42—222no—
1330C42—222no—
1331C42—222no—
1332C42—222no—
1333C42—222no—
1334C42—222no—
1335C42—222no—
1336C42—222no—
1337C42—441no—
1338C42—441no—
1339C42—441no—
1340C42—441no—
1341C42—441no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42C2×C4×D1114yescomplemented
1346C11C4×#55111yescharacteristic, complemented, Sylow
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—112no—
1354C23—112no—
1355C23—112no—
1356C23—112no—
1357C23—112no—
1358C23—112no—
1359C23—112no—
1360C23—228no—
1361C23—228no—
1362C23—221no—
1363C23—221no—
1364C23—221no—
1365C23—221no—
1366C23—221no—
1367C23—221no—
1368C23—221no—
1369C23—221no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—221no—
1375C23—221no—
1376C23—444no—
1377C23—444no—
1378C23—444no—
1379C23—444no—
1380C23—444no—
1381C23C22×C4×D1112yes—
1382C23C24×D1111yescharacteristic
1383Q8—444no—
1384D4—228no—
1385D4—228no—
1386D4—444no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—44no—
1419C2×C4—112no—
1420C2×C4—112no—
1421C2×C4—112no—
1422C2×C4—112no—
1423C2×C4—112no—
1424C2×C4—112no—
1425C2×C4—112no—
1426C2×C4—112no—
1427C2×C4—112no—
1428C2×C4—228no—
1429C2×C4—228no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—228no—
1449C2×C4—228no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—444no—
1463C2×C4—444no—
1464C2×C4—444no—
1465C2×C4—444no—
1466C2×C4—444no—
1467C2×C4—444no—
1468C2×C4—444no—
1469C2×C4—444no—
1470C2×C4—444no—
1471C2×C4—444no—
1472C2×C4—444no—
1473C2×C4—444no—
1474C2×C4C22×C4×D1112yes—
1475C2×C4C22×C4×D1112yes—
1476C2×C4C22×C4×D1112yes—
1477C2×C4C22×C4×D1112yes—
1478C2×C4C22×C4×D1112yes—
1479C2×C4C22×C4×D1112yes—
1480C2×C4#41×D1112yes—
1481C2×C4#41×D1112yes—
1482C2×C4#41×D1112yes—
1483C2×C4#41×D1112yes—
1484C2×C4#6704212yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—114no—
1493C22—114no—
1494C22—222no—
1495C22—222no—
1496C22—222no—
1497C22—222no—
1498C22—222no—
1499C22—222no—
1500C22—222no—
1501C22—222no—
1502C22—222no—
1503C22—222no—
1504C22—222no—
1505C22—222no—
1506C22—222no—
1507C22—222no—
1508C22—222no—
1509C22—4416no—
1510C22—441no—
1511C22—441no—
1512C22—441no—
1513C22—441no—
1514C22C23×C4×D1111yescharacteristic
1515C22C2×#41×D1111yescharacteristic
1516C22C2×#41×D1111yescharacteristic
1517C22C2×#41×D1111yescharacteristic
1518C22C2×#41×D1111yescharacteristic
1519C22C2×#6704211yescharacteristic
1520C22#1062345311yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—222no—
1535C4—222no—
1536C4—222no—
1537C4—222no—
1538C4—222no—
1539C4—222no—
1540C4—222no—
1541C4—222no—
1542C4—222no—
1543C4—441no—
1544C4—441no—
1545C4—441no—
1546C4—441no—
1547C4#1062323614yesdirect product factor
1548C2—42no—
1549C2—224no—
1550C2—224no—
1551C2—442no—
1552C2C4×#41×D1111yescharacteristic
1553C2C4×#41×D1111yescharacteristic
1554C2C4×#6704211yescharacteristic
1555C2C2×#1062323611yescharacteristic
1556C2#1308216811yescharacteristic
1557C2#1308217211yescharacteristic
1558C2#1308222211yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC4×C11×#126C2
socle, cosocleC23×C11C25
prime radicalC2×#66935C22
hypercenterC4×#126D11
hypocenterC11C4×#551
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#126

Complements

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

NH ≅ G/Ntype
2. #13071744C2semidirect
3. #13071743C2semidirect
4. #13071740C2semidirect
5. #13071723C2semidirect
6. #13071698C2semidirect
7. #13071693C2semidirect
8. #13071615C2semidirect
9. #13071601C2semidirect
11. #13071555C2semidirect
12. #13071549C2semidirect
13. #13071473C2semidirect
14. #13071471C2semidirect
15. #13071464C2semidirect
16. #13071460C2semidirect
17. C4×#66932C2semidirect
18. C4×#66938C2semidirect
19. C4×#66950C2semidirect
20. C4×#66949C2semidirect
21. C4×#66947C2semidirect
22. C4×#66947C2semidirect
23. C4×#66936C2semidirect
25. C42×D44C2semidirect
26. C4×#66946C2semidirect
27. C4×#66925C2semidirect
28. C4×#66945C2semidirect
29. C4×C22⋊C4×D11C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C4×C11×#126C2semidirect
35. #10623236C4direct (N × H)
62. C2×C42×D11C22semidirect
63. C2×C4×Dic22C22semidirect
67. C11×#387C22semidirect
68. C11×#387C22semidirect
69. C11×#387C22semidirect
70. C11×#383C22semidirect
71. C4×C11×C4⋊C4C22semidirect
72. C4×C11×C4⋊C4C22semidirect
73. C4×C11×C4⋊C4C22semidirect
77. C43×C11C22semidirect
80. #10622603C22semidirect
81. #10622603C22semidirect
86. #10622598C22semidirect
87. #10622594C22semidirect
88. #10622594C22semidirect
89. #10622594C22semidirect
90. C4⋊C4×Dic11C22semidirect
91. C4⋊C4×Dic11C22semidirect
92. C4⋊C4×Dic11C22semidirect
93. C4⋊C4×Dic11C22semidirect
94. #10622587C22semidirect
95. #10622585C22semidirect
122. C4×(C2×D11)⋊C4C22semidirect
123. C4×(C2×D11)⋊C4C22semidirect
124. C4×(C2×D11)⋊C4C22semidirect
125. C4×(C2×D11)⋊C4C22semidirect
126. C4×(C2×D11)⋊C4C22semidirect
127. C4×C4⋊Dic11C22semidirect
128. C4×C4⋊Dic11C22semidirect
129. C4×C4⋊Dic11C22semidirect
130. C4×C4⋊Dic11C22semidirect
131. #10622545C22semidirect
132. #10622545C22semidirect
133. C4×Dic11⋊C4C22semidirect
134. C4×Dic11⋊C4C22semidirect
135. C4×Dic11⋊C4C22semidirect
136. C4×Dic11⋊C4C22semidirect
137. C4×Dic11⋊C4C22semidirect
138. C42×Dic11C22semidirect
139. C42×Dic11C22semidirect
140. #10622283C22semidirect
141. #10622282C22semidirect
142. #10622282C22semidirect
143. #10622282C22semidirect
149. #10622281C22semidirect
159. #10622279C22semidirect
160. #10622279C22semidirect
167. #10622277C22semidirect
172. #10622268C22semidirect
173. #10622268C22semidirect
174. #10622268C22semidirect
175. #10622267C22semidirect
176. #10622266C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622265C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622263C22semidirect
184. #10622261C22semidirect
185. #10622261C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
213. C11×#126C2×C4semidirect
304. #66950C2×C4semidirect
305. #66949C2×C4semidirect
306. #66947C2×C4semidirect
307. #66947C2×C4semidirect
309. #66946C2×C4semidirect
311. #66945C2×C4semidirect
312. #66938C2×C4semidirect
313. #66936C2×C4semidirect
317. C22⋊C4×D11C2×C4semidirect
318. C22⋊C4×D11C2×C4semidirect
319. #66932C2×C4semidirect
323. C4×D44C2×C4semidirect
325. #66925C2×C4semidirect
473. C2×C4×D11C22×C4semidirect
478. C2×Dic22C22×C4semidirect
482. C11×C4⋊C4C22×C4semidirect
483. C11×C4⋊C4C22×C4semidirect
484. C11×C4⋊C4C22×C4semidirect
500. C42×C11C22×C4semidirect
524. (C2×D11)⋊C4C22×C4semidirect
525. (C2×D11)⋊C4C22×C4semidirect
526. (C2×D11)⋊C4C22×C4semidirect
534. C4⋊Dic11C22×C4semidirect
535. C4⋊Dic11C22×C4semidirect
542. Dic11⋊C4C22×C4semidirect
543. Dic11⋊C4C22×C4semidirect
544. Dic11⋊C4C22×C4semidirect
566. C4×Dic11C22×C4semidirect
567. C4×Dic11C22×C4semidirect
585. C4×#126D11semidirect
804. #387C2×D11semidirect
805. #387C2×D11semidirect
806. #387C2×D11semidirect
824. #383C2×D11semidirect
845. C4×C4⋊C4C2×D11semidirect
846. C4×C4⋊C4C2×D11semidirect
847. C4×C4⋊C4C2×D11semidirect
892. C43C2×D11semidirect
942. C4×C11#551semidirect
982. #126C4×D11semidirect
1276. C4⋊C4C2×C4×D11semidirect
1277. C4⋊C4C2×C4×D11semidirect
1278. C4⋊C4C2×C4×D11semidirect
1345. C42C2×C4×D11semidirect
1346. C11C4×#551semidirect
1547. C4#10623236direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106232362
#130717442
#130717432
#130717402
#130717232
#130716982
#130716932
#130716152
#130716012
#130715942
#130715552
#130715492
#130714732
#130714712
#130714642
#130714602
C4×#669322
C4×#669382
C4×#669502
C4×#669492
C4×#669472
C4×#669362
C4×#669352
C42×D442
C4×#669462
C4×#669252
C4×#669452
C4×C22⋊C4×D112
C4×C11×#1262
C4×#55111