Finite Group Databasebeta

← #14917723

Subgroups — #14917723

Order 2816.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623364C211yesmaximal, characteristic
2#13071779C211yesmaximal, characteristic, complemented
3#13071777C211yesmaximal, characteristic, complemented
4#13071775C211yesmaximal, characteristic, complemented
5#13071768C211yesmaximal, characteristic, complemented
6#13071699C211yesmaximal, characteristic, complemented
7#13071695C211yesmaximal, characteristic, complemented
8#13071665C211yesmaximal, characteristic, complemented
9#13071664C211yesmaximal, characteristic, complemented
10#13071663C211yesmaximal, characteristic, complemented
11#13071661C211yesmaximal, characteristic, complemented
12#13071633C211yesmaximal, characteristic, complemented
13#13071627C211yesmaximal, characteristic, complemented
14#13071446C211yesmaximal, characteristic, complemented
15#13071443C211yesmaximal, characteristic, complemented
16#13071440C211yesmaximal, characteristic, complemented
17#13071381C211yesmaximal, characteristic, complemented
18#13071377C211yesmaximal, characteristic, complemented
19#13071371C211yesmaximal, characteristic, complemented
20#13071369C211yesmaximal, characteristic, complemented
21#13071349C211yesmaximal, characteristic, complemented
22#13071348C211yesmaximal, characteristic, complemented
23#13071318C211yesmaximal, characteristic, complemented
24#13071317C211yesmaximal, characteristic, complemented
25#13071316C211yesmaximal, characteristic, complemented
26#13071314C211yesmaximal, characteristic, complemented
27#13071217C211yesmaximal, characteristic, complemented
28#13071126C211yesmaximal, characteristic, complemented
29C4×#66992C211yesmaximal, characteristic, complemented
30C2×#10622267C211yesmaximal, characteristic, complemented
31C11×#2339C211yesmaximal, characteristic, complemented
32C22×C11×#41C2211yescharacteristic
33C22×#4339C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36#10623364C4116yescomplemented
37C2×#66999C2211yescharacteristic
38C2×#66999C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66991C2211yescharacteristic
44C2×#66991C2211yescharacteristic
45C2×D4×Dic11C2211yescharacteristic
46C2×D4×Dic11C2211yescharacteristic
47C2×#66983C2211yescharacteristic
48C2×#66983C2211yescharacteristic
49C2×C4×C22⋊D11C2211yescharacteristic
50C2×C4×C22⋊D11C2211yescharacteristic
51C2×C4×C22⋊D11C2211yescharacteristic
52C2×C4×C22⋊D11C2211yescharacteristic
53C22×C4⋊Dic11C2211yescharacteristic
54C2×#66977C2211yescharacteristic
55C2×#66977C2211yescharacteristic
56C22×Dic11⋊C4C2211yescharacteristic
57C22×C4×Dic11C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic
61C2×(C22⋊D11)⋊C4C2211yescharacteristic
62C11×#391C2211yescharacteristic
63C11×#391C2211yescharacteristic
64C11×#386C2211yescharacteristic
65C11×#386C2211yescharacteristic
66C11×#386C2211yescharacteristic
67C11×#386C2211yescharacteristic
68C11×#381C2211yescharacteristic
69C11×#381C2211yescharacteristic
70C11×#380C2211yescharacteristic
71C4×C11×C22⋊C4C2211yescharacteristic
72C2×C11×#95C2211yescharacteristic
73C2×C11×#95C2211yescharacteristic
74#10622843C2211yescharacteristic
75#10622843C2211yescharacteristic
76#10622833C2211yescharacteristic
77#10622833C2211yescharacteristic
78#10622833C2211yescharacteristic
79#10622833C2211yescharacteristic
80#10622826C2211yescharacteristic
81#10622826C2211yescharacteristic
82#10622826C2211yescharacteristic
83#10622826C2211yescharacteristic
84#10622825C2211yescharacteristic
85#10622824C2211yescharacteristic
86#10622824C2211yescharacteristic
87#10622823C2211yescharacteristic
88#10622823C2211yescharacteristic
89C4×C22⋊Dic11C2211yescharacteristic
90C4×C22⋊Dic11C2211yescharacteristic
91C4×C22⋊Dic11C2211yescharacteristic
92C2×C11⋊#95C2211yescharacteristic
93C2×C11⋊#95C2211yescharacteristic
94C2×C11⋊#95C2211yescharacteristic
95C2×C11⋊#95C2211yescharacteristic
96#10622603C2211yescharacteristic
97#10622603C2211yescharacteristic
98#10622602C2211yescharacteristic
99#10622602C2211yescharacteristic
100#10622591C2211yescharacteristic
101#10622591C2211yescharacteristic
102#10622585C2211yescharacteristic
103#10622585C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622571C2211yescharacteristic
106#10622571C2211yescharacteristic
107#10622571C2211yescharacteristic
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622570C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622559C2211yescharacteristic
117#10622559C2211yescharacteristic
118#10622558C2211yescharacteristic
119#10622558C2211yescharacteristic
120#10622558C2211yescharacteristic
121#10622558C2211yescharacteristic
122#10622557C2211yescharacteristic
123#10622557C2211yescharacteristic
124#10622557C2211yescharacteristic
125#10622557C2211yescharacteristic
126#10622555C2211yescharacteristic
127#10622555C2211yescharacteristic
128C22⋊C4×Dic11C2211yescharacteristic
129C22⋊C4×Dic11C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132#10622553C2211yescharacteristic
133#10622553C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136#10622546C2211yescharacteristic
137#10622546C2211yescharacteristic
138C4×Dic11⋊C4C2211yescharacteristic
139C4×Dic11⋊C4C2211yescharacteristic
140#10622283C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622282C2211yescharacteristic
143#10622282C2211yescharacteristic
144#10622281C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622280C2211yescharacteristic
147#10622280C2211yescharacteristic
148#10622279C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622278C2211yescharacteristic
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622277C2211yescharacteristic
157#10622277C2211yescharacteristic
158D11×#95C2211yescharacteristic
159D11×#95C2211yescharacteristic
160#10622268C2211yescharacteristic
161#10622268C2211yescharacteristic
162#10622267C2211yescharacteristic
163#10622267C2211yescharacteristic
164#10622267C2211yescharacteristic
165#10622267C2211yescharacteristic
166#10622267C2211yescharacteristic
167#10622267C2211yescharacteristic
168#10622267C2211yescharacteristic
169#10622267C2211yescharacteristic
170#10622267C2211yescharacteristic
171#10622267C2211yescharacteristic
172#10622267C2211yescharacteristic
173#10622267C2211yescharacteristic
174#10622266C2211yescharacteristic
175#10622266C2211yescharacteristic
176#10622266C2211yescharacteristic
177#10622266C2211yescharacteristic
178#10622265C2211yescharacteristic
179#10622265C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C2×C11×#41—42no—
189C2×C11×#41—42no—
190C2×C11×#41C2×C418yescomplemented
191C22×Q8×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C2×#4339—42no—
215C2×#4339—42no—
216C2×#4339C2×C418yescomplemented
217C22×D44C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×Dic22C2311yescharacteristic
225C4×D4×C11—42no—
226C4×D4×C11—42no—
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251#66999C2×C418yescomplemented
252#66999C2×C418yescomplemented
253#66992C2×C418yescomplemented
254#66992C2×C418yescomplemented
255#66992C2×C418yescomplemented
256#66992C2×C418yescomplemented
257#66991C2×C418yescomplemented
258#66991C2×C418yescomplemented
259D4×Dic11—42no—
260D4×Dic11—42no—
261#66983C2×C418yescomplemented
262#66983C2×C418yescomplemented
263C4×C22⋊D11—42no—
264C4×C22⋊D11—42no—
265C4×C22⋊D11—42no—
266C4×C22⋊D11—42no—
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×C4⋊Dic11C2×C418yescomplemented
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290#66977C2×C418yescomplemented
291#66977C2×C418yescomplemented
292C2×Dic11⋊C4—42no—
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×C4×Dic11—42no—
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324(C22⋊D11)⋊C4—42no—
325(C22⋊D11)⋊C4—42no—
326(C22⋊D11)⋊C4—42no—
327(C22⋊D11)⋊C4—42no—
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
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376#34436—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C23×D11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C11×#41—416no—
383C2×Q8×C11—41no—
384C2×Q8×C11—41no—
385C2×Q8×C11C22×C414yes—
386C2×D4×C11—22no—
387C2×D4×C11—22no—
388C2×D4×C11—22no—
389C2×D4×C11—22no—
390C2×D4×C11—41no—
391C2×D4×C11—41no—
392C2×D4×C11C22×C414yes—
393C2×D4×C11C22×C414yes—
394C2×D4×C11C22×C414yes—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11C22×C414yes—
414C22×C4×C11C22×C414yes—
415C22×C4×C11C22×C414yes—
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11C22×C414yes—
441C2×C22⋊D11C22×C414yes—
442C2×C22⋊D11C22×C414yes—
443C2×C22⋊D11C22×C414yes—
444C2×C22⋊D11C22×C414yes—
445C2×C22⋊D11C22×C414yes—
446C22×Dic11—22no—
447C22×Dic11—22no—
448C22×Dic11—22no—
449C22×Dic11—22no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11—41no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11—41no—
462C22×Dic11C22×C414yes—
463C22×Dic11C22×C414yes—
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478#4339—416no—
479C2×D44—41no—
480C2×D44—41no—
481C2×D44C22×C414yes—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—41no—
496C2×C4×D11—41no—
497C2×C4×D11—41no—
498C2×C4×D11C22×C414yes—
499C2×C4×D11C22×C414yes—
500C2×Dic22—41no—
501C2×Dic22—41no—
502C2×Dic22C22×C414yes—
503C11×C4⋊C4—41no—
504C11×C4⋊C4—41no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—41no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4—41no—
511C11×C22⋊C4—41no—
512C11×C22⋊C4—41no—
513C42×C11—41no—
514C42×C11—41no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521C22⋊Dic11—41no—
522C22⋊Dic11—41no—
523C22⋊Dic11C22×C414yes—
524C22⋊Dic11C22×C414yes—
525C22⋊Dic11C22×C414yes—
526C22⋊Dic11C22×C414yes—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4C22×C414yes—
540(C2×D11)⋊C4C22×C414yes—
541(C2×D11)⋊C4C22×C414yes—
542(C2×D11)⋊C4C22×C414yes—
543C4⋊Dic11—41no—
544C4⋊Dic11—41no—
545C4⋊Dic11C22×C414yes—
546C4⋊Dic11C22×C414yes—
547C4⋊Dic11C22×C414yes—
548C4⋊Dic11C22×C414yes—
549Dic11⋊C4—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560Dic11⋊C4—41no—
561Dic11⋊C4C22×C414yes—
562Dic11⋊C4C22×C414yes—
563Dic11⋊C4C22×C414yes—
564Dic11⋊C4C22×C414yes—
565C4×Dic11—22no—
566C4×Dic11—22no—
567C4×Dic11—41no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574C4×Dic11—41no—
575C4×Dic11—41no—
576C4×Dic11—41no—
577C4×Dic11—41no—
578C4×Dic11—41no—
579C2×#537—111no—
580#2378—111no—
581#2378—111no—
582#2377—111no—
583#2377—111no—
584#2368—111no—
585#2368—111no—
586#2364—111no—
587#2364—111no—
588#2364—111no—
589#2364—111no—
590#2361—111no—
591#2361—111no—
592#2339—111no—
593#2339—111no—
594#2339—111no—
595#2339D1111yescharacteristic, complemented
596#2333—111no—
597#2333—111no—
598#2332—111no—
599#2332—111no—
600#2329—111no—
601#2329—111no—
602#2325—111no—
603#2325—111no—
604#2325—111no—
605#2325—111no—
606#2313—111no—
607C4×#121—111no—
608C4×#121—111no—
609C2×#387—111no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11C23×C412yes—
627C23×C11C23×C412yes—
628C23×C11C23×C412yes—
629C23×C11H(5,𝔽2)12yes—
630C23×C11H(5,𝔽2)12yes—
631C23×C11C2511yescharacteristic
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11C23×C412yes—
645C22×D11C23×C412yes—
646Q8×C11—44no—
647D4×C11—28no—
648D4×C11—28no—
649D4×C11—44no—
650C2×C4×C11—28no—
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—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—44no—
683C2×C4×C11—44no—
684C2×C4×C11—44no—
685C2×C4×C11—82no—
686C2×C4×C11—82no—
687C2×C4×C11—82no—
688C2×C4×C11C23×C412yes—
689C2×C4×C11C23×C412yes—
690C2×C4×C11C23×C412yes—
691C2×C4×C11C23×C412yes—
692C2×C4×C112−1+412yes—
693C22⋊D11—28no—
694C22⋊D11—28no—
695C22⋊D11—44no—
696C22⋊D11—44no—
697C22⋊D11—44no—
698C22⋊D11—44no—
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—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—44no—
735C2×Dic11—44no—
736C2×Dic11—44no—
737C2×Dic11—82no—
738C2×Dic11—82no—
739C2×Dic11—82no—
740C2×Dic11C23×C412yes—
741C2×Dic11C23×C412yes—
742C2×Dic11C23×C412yes—
743C2×Dic11C23×C412yes—
744C2×Dic11C23×C412yes—
745C2×Dic11C23×C412yes—
746C2×Dic11H(5,𝔽2)12yes—
747D44—44no—
748C4×D11—44no—
749C4×D11—44no—
750C4×D11—82no—
751C4×D11—82no—
752C4×D11—82no—
753C4×D11—82no—
754Dic22—44no—
755C22×#41—111no—
756C22×#41C2×D1111yescharacteristic
757#537—1116no—
758C2×C22⋊Q8—111no—
759C2×C22⋊Q8—111no—
760C2×C22⋊Q8—111no—
761C2×C22⋊Q8—111no—
762C2×#121—111no—
763C2×#121—111no—
764C2×#121—111no—
765C2×#121—111no—
766C2×#121—111no—
767C2×#121—111no—
768C2×#121—111no—
769C2×#121—111no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4—111no—
777C2×C4×D4—111no—
778C2×C4×D4—111no—
779C2×C4×D4—111no—
780C2×C4×D4C2×D1111yescharacteristic
781C2×C4×D4C2×D1111yescharacteristic
782C22×C4⋊C4—111no—
783C22×C4⋊C4—111no—
784C22×C42—111no—
785#391—111no—
786#391—111no—
787#391—111no—
788#391—111no—
789#391—111no—
790#391—111no—
791#391C2×D1111yescharacteristic
792#391C2×D1111yescharacteristic
793#390—111no—
794#390—111no—
795#390—111no—
796#390—111no—
797#389—111no—
798#389—111no—
799#389—111no—
800#389—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387—111no—
824#387—111no—
825#387—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387—111no—
834#387—111no—
835#387—111no—
836#387—111no—
837#387—111no—
838#387—111no—
839#387—111no—
840#387—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386—111no—
850#386—111no—
851#386—111no—
852#386—111no—
853#386—111no—
854#386—111no—
855#386—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386C2×D1111yescharacteristic
862#386C2×D1111yescharacteristic
863#386C2×D1111yescharacteristic
864#386C2×D1111yescharacteristic
865#385—111no—
866#385—111no—
867#385—111no—
868#385—111no—
869#385—111no—
870#385—111no—
871#385—111no—
872#385—111no—
873#381—111no—
874#381—111no—
875#381—111no—
876#381—111no—
877#381C2×D1111yescharacteristic
878#381C2×D1111yescharacteristic
879#380—111no—
880#380—111no—
881#380—111no—
882#380—111no—
883#380—111no—
884#380C2×D1111yescharacteristic
885C4×C4⋊C4—111no—
886C4×C4⋊C4—111no—
887C4×C4⋊C4—111no—
888C4×C4⋊C4—111no—
889C4×C22⋊C4—111no—
890C4×C22⋊C4—111no—
891C4×C22⋊C4—111no—
892C4×C22⋊C4—111no—
893C4×C22⋊C4—111no—
894C4×C22⋊C4—111no—
895C4×C22⋊C4—111no—
896C4×C22⋊C4—111no—
897C4×C22⋊C4—111no—
898C4×C22⋊C4—111no—
899C4×C22⋊C4—111no—
900C4×C22⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4C2×D1111yescharacteristic
903C2×#95—111no—
904C2×#95—111no—
905C2×#95—111no—
906C2×#95—111no—
907C2×#95—111no—
908C2×#95—111no—
909C2×#95C2×D1111yescharacteristic
910C2×#95C2×D1111yescharacteristic
911C22×C11—22no—
912C22×C11—22no—
913C22×C11—22no—
914C22×C11—22no—
915C22×C11—22no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11#51814yes—
932C22×C11C24×C411yescharacteristic
933C22×C11C2×H(5,𝔽2)11yescharacteristic
934C22×C11C2×H(5,𝔽2)11yescharacteristic
935C22×C11C2×H(5,𝔽2)11yescharacteristic
936C22×C11C2×2−1+411yescharacteristic
937C22×C11#58511yescharacteristic
938C22×C11#58511yescharacteristic
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—22no—
945C2×D11—41no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C4×C11—22no—
954C4×C11—22no—
955C4×C11—22no—
956C4×C11—22no—
957C4×C11—22no—
958C4×C11—41no—
959C4×C11—41no—
960C4×C11—41no—
961C4×C11—41no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11—41no—
965Dic11—22no—
966Dic11—22no—
967Dic11—22no—
968Dic11—22no—
969Dic11—22no—
970Dic11—22no—
971Dic11—22no—
972Dic11—41no—
973Dic11—41no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979C2×#41—42no—
980C2×#41—42no—
981C2×#41—118no—
982C2×#41—442no—
983C2×#41—442no—
984C2×#41C4×D1118yescomplemented
985C22×Q8—111no—
986C22×Q8C22×D1111yescharacteristic
987C22×D4—111no—
988C22×D4—111no—
989C22×D4—111no—
990C22×D4—111no—
991C22×D4—111no—
992C22×D4—111no—
993C22×D4—111no—
994C22×D4C22×D1111yescharacteristic
995C22×D4C22×D1111yescharacteristic
996C22×D4C22×D1111yescharacteristic
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4C22×D1111yescharacteristic
1010C23×C4C22×D1111yescharacteristic
1011C23×C4C22×D1111yescharacteristic
1012C23×C4C22×D1111yescharacteristic
1013C23×C4C22×D1111yescharacteristic
1014C23×C4C22×D1111yescharacteristic
1015C23×C4C22×D1111yescharacteristic
1016C22⋊Q8—118no—
1017C22⋊Q8—118no—
1018C22⋊Q8—118no—
1019C22⋊Q8—118no—
1020#121—118no—
1021#121—118no—
1022#121—118no—
1023#121—118no—
1024#121—118no—
1025#121—118no—
1026#121—118no—
1027#121—118no—
1028C4×D4—42no—
1029C4×D4—42no—
1030C4×D4—442no—
1031C4×D4—442no—
1032C4×D4—442no—
1033C4×D4—442no—
1034C4×D4—442no—
1035C4×D4—442no—
1036C4×D4—442no—
1037C4×D4—442no—
1038C4×D4—442no—
1039C4×D4—442no—
1040C2×C4⋊C4—118no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—442no—
1064C2×C4⋊C4C22×D1111yescharacteristic
1065C2×C4⋊C4C22×D1111yescharacteristic
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4C22×D1111yescharacteristic
1095C2×C22⋊C4C22×D1111yescharacteristic
1096C2×C22⋊C4C22×D1111yescharacteristic
1097C2×C22⋊C4C22×D1111yescharacteristic
1098C2×C22⋊C4C22×D1111yescharacteristic
1099C2×C22⋊C4C22×D1111yescharacteristic
1100C2×C22⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4C22×D1111yescharacteristic
1102C2×C42—111no—
1103C2×C42—111no—
1104C2×C42—111no—
1105C2×C42—111no—
1106C2×C42—111no—
1107C2×C42—111no—
1108C2×C42—111no—
1109C2×C42—111no—
1110C2×C42—111no—
1111C2×C42—111no—
1112C2×C42—111no—
1113C2×C42—111no—
1114C2×C42—111no—
1115C2×C42—111no—
1116C2×C42—442no—
1117C2×C42C22×D1111yescharacteristic
1118C2×C42C22×D1111yescharacteristic
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#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95C22×D1111yescharacteristic
1156#95C22×D1111yescharacteristic
1157#95C22×D1111yescharacteristic
1158#95C22×D1111yescharacteristic
1159#95C22×D1111yescharacteristic
1160#95C22×D1111yescharacteristic
1161#95C22×D1111yescharacteristic
1162#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167C2×C11—24no—
1168C2×C11—42no—
1169C2×C11—42no—
1170C2×C11C2×#51811yescharacteristic
1171C2×C11C4×H(5,𝔽2)11yescharacteristic
1172C2×C11C4×2−1+411yescharacteristic
1173C2×C11#353411yescharacteristic
1174C2×C11#353611yescharacteristic
1175C2×C11#355911yescharacteristic
1176C2×C11#356011yescharacteristic
1177D11—42no—
1178D11—42no—
1179C24—111no—
1180C24—111no—
1181C24C23×D1111yescharacteristic
1182C24C23×D1111yescharacteristic
1183C24C23×D1111yescharacteristic
1184#41—416no—
1185#41—4416no—
1186C2×Q8—41no—
1187C2×Q8—41no—
1188C2×Q8—114no—
1189C2×Q8—441no—
1190C2×Q8—441no—
1191C2×Q8C2×C4×D1114yes—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—114no—
1199C2×D4—114no—
1200C2×D4—114no—
1201C2×D4—114no—
1202C2×D4—114no—
1203C2×D4—114no—
1204C2×D4—114no—
1205C2×D4—222no—
1206C2×D4—222no—
1207C2×D4—222no—
1208C2×D4—222no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4—441no—
1213C2×D4—441no—
1214C2×D4—441no—
1215C2×D4—441no—
1216C2×D4—441no—
1217C2×D4—441no—
1218C2×D4—441no—
1219C2×D4C2×C4×D1114yes—
1220C2×D4C2×C4×D1114yes—
1221C2×D4C2×C4×D1114yes—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—111no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—114no—
1248C22×C4—114no—
1249C22×C4—114no—
1250C22×C4—114no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—111no—
1254C22×C4—111no—
1255C22×C4—111no—
1256C22×C4—111no—
1257C22×C4—111no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—441no—
1265C22×C4—441no—
1266C22×C4—441no—
1267C22×C4—441no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4C2×C4×D1114yes—
1291C22×C4C2×C4×D1114yes—
1292C22×C4C2×C4×D1114yes—
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—114no—
1308C4⋊C4—114no—
1309C4⋊C4—114no—
1310C4⋊C4—114no—
1311C4⋊C4—114no—
1312C4⋊C4—114no—
1313C4⋊C4—114no—
1314C4⋊C4—114no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—441no—
1318C4⋊C4—441no—
1319C4⋊C4—441no—
1320C4⋊C4—441no—
1321C4⋊C4—441no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C4⋊C4—441no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—114no—
1338C22⋊C4—114no—
1339C22⋊C4—114no—
1340C22⋊C4—114no—
1341C22⋊C4—114no—
1342C22⋊C4—114no—
1343C22⋊C4—114no—
1344C22⋊C4—114no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—441no—
1351C22⋊C4—441no—
1352C22⋊C4—441no—
1353C22⋊C4—441no—
1354C22⋊C4—441no—
1355C22⋊C4—441no—
1356C22⋊C4—441no—
1357C22⋊C4—441no—
1358C22⋊C4—441no—
1359C22⋊C4—441no—
1360C22⋊C4—441no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C42—41no—
1366C42—41no—
1367C42—222no—
1368C42—222no—
1369C42—441no—
1370C42—441no—
1371C42—441no—
1372C42—441no—
1373C42—441no—
1374C42—441no—
1375C42—441no—
1376C42—441no—
1377C42—441no—
1378C42—441no—
1379C42—441no—
1380C42—441no—
1381C11#3443611yescharacteristic, complemented, Sylow
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—112no—
1399C23—112no—
1400C23—221no—
1401C23—221no—
1402C23—221no—
1403C23—221no—
1404C23—221no—
1405C23—221no—
1406C23—221no—
1407C23—221no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23C22×C4×D1112yes—
1413C23C22×C4×D1112yes—
1414C23C22×C4×D1112yes—
1415C23#6703712yes—
1416C23#6703712yes—
1417C23C24×D1111yescharacteristic
1418Q8—44no—
1419Q8—444no—
1420D4—28no—
1421D4—28no—
1422D4—44no—
1423D4—228no—
1424D4—228no—
1425D4—444no—
1426D4—444no—
1427D4—444no—
1428D4—444no—
1429D4—444no—
1430C2×C4—28no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—82no—
1468C2×C4—112no—
1469C2×C4—112no—
1470C2×C4—112no—
1471C2×C4—112no—
1472C2×C4—112no—
1473C2×C4—112no—
1474C2×C4—112no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—444no—
1511C2×C4—444no—
1512C2×C4—444no—
1513C2×C4—444no—
1514C2×C4—444no—
1515C2×C4—882no—
1516C2×C4—882no—
1517C2×C4—882no—
1518C2×C4—882no—
1519C2×C4—882no—
1520C2×C4—882no—
1521C2×C4—882no—
1522C2×C4C22×C4×D1112yes—
1523C2×C4C22×C4×D1112yes—
1524C2×C4C22×C4×D1112yes—
1525C2×C4C22×C4×D1112yes—
1526C2×C4#6704312yes—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—222no—
1548C22—222no—
1549C22—222no—
1550C22—222no—
1551C22—222no—
1552C22—222no—
1553C22—441no—
1554C22—441no—
1555C22—441no—
1556C22—441no—
1557C22—441no—
1558C22—441no—
1559C22—441no—
1560C22—441no—
1561C22#1062301714yes—
1562C22C23×C4×D1111yescharacteristic
1563C22C2×#6703711yescharacteristic
1564C22C2×#6703711yescharacteristic
1565C22C2×#6704311yescharacteristic
1566C22#1062345311yescharacteristic
1567C22D11×H(5,𝔽2)11yescharacteristic
1568C22#1062345711yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—222no—
1582C4—222no—
1583C4—222no—
1584C4—222no—
1585C4—222no—
1586C4—222no—
1587C4—222no—
1588C4—441no—
1589C4—441no—
1590C4—441no—
1591C4—441no—
1592C4—441no—
1593C4—441no—
1594C4—441no—
1595C2—24no—
1596C2—42no—
1597C2—42no—
1598C2—442no—
1599C2—442no—
1600C2C2×#1062301711yescharacteristic
1601C2#1308182211yescharacteristic
1602C2C4×#6704311yescharacteristic
1603C2#1308280111yescharacteristic
1604C2#1308283111yescharacteristic
1605C2#1308314511yescharacteristic
1606C2#1308316411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2339C2
socle, cosocleC23×C11C25
prime radicalC2×#10623364C2
hypercenter#2339D11
hypocenterC11#34436
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. #13071779C2semidirect
3. #13071777C2semidirect
4. #13071775C2semidirect
5. #13071768C2semidirect
6. #13071699C2semidirect
7. #13071695C2semidirect
8. #13071665C2semidirect
9. #13071664C2semidirect
10. #13071663C2semidirect
11. #13071661C2semidirect
12. #13071633C2semidirect
13. #13071627C2semidirect
14. #13071446C2semidirect
15. #13071443C2semidirect
16. #13071440C2semidirect
17. #13071381C2semidirect
18. #13071377C2semidirect
19. #13071371C2semidirect
20. #13071369C2semidirect
21. #13071349C2semidirect
22. #13071348C2semidirect
23. #13071318C2semidirect
24. #13071317C2semidirect
25. #13071316C2semidirect
26. #13071314C2semidirect
27. #13071217C2semidirect
28. #13071126C2semidirect
29. C4×#66992C2semidirect
30. C2×#10622267C2semidirect
31. C11×#2339C2semidirect
36. #10623364C4semidirect
190. C2×C11×#41C2×C4semidirect
216. C2×#4339C2×C4semidirect
251. #66999C2×C4semidirect
252. #66999C2×C4semidirect
253. #66992C2×C4semidirect
254. #66992C2×C4semidirect
255. #66992C2×C4semidirect
256. #66992C2×C4semidirect
257. #66991C2×C4semidirect
258. #66991C2×C4semidirect
261. #66983C2×C4semidirect
262. #66983C2×C4semidirect
283. C2×C4⋊Dic11C2×C4semidirect
290. #66977C2×C4semidirect
291. #66977C2×C4semidirect
595. #2339D11semidirect
984. C2×#41C4×D11semidirect
1381. C11#34436semidirect

Maximal subgroups

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

subgroupindex
C2×#106233642
#130717792
#130717772
#130717752
#130717682
#130716992
#130716952
#130716652
#130716642
#130716632
#130716612
#130716332
#130716272
#130714462
#130714432
#130714402
#130713812
#130713772
#130713712
#130713692
#130713492
#130713482
#130713182
#130713172
#130713162
#130713142
#130712172
#130711262
C4×#669922
C2×#106222672
C11×#23392
#3443611