Finite Group Databasebeta

← #14961146

Subgroups — #14961146

Order 2816.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623025C211yesmaximal, characteristic, complemented
2#13076896C211yesmaximal, characteristic, complemented
3#13076896C211yesmaximal, characteristic, complemented
4#13075520C211yesmaximal, characteristic, complemented
5#13075423C211yesmaximal, characteristic, complemented
6#13075421C211yesmaximal, characteristic, complemented
7#13075382C211yesmaximal, characteristic, complemented
8#13075147C211yesmaximal, characteristic, complemented
9#13075145C211yesmaximal, characteristic, complemented
10#13075121C211yesmaximal, characteristic, complemented
11#13075093C211yesmaximal, characteristic, complemented
12#13075091C211yesmaximal, characteristic, complemented
13#13074917C211yesmaximal, characteristic, complemented
14#13074912C211yesmaximal, characteristic, complemented
15#13074906C211yesmaximal, characteristic, complemented
16#13074867C211yesmaximal, characteristic, complemented
17#13074862C211yesmaximal, characteristic, complemented
18#13074852C211yesmaximal, characteristic, complemented
19#13074847C211yesmaximal, characteristic, complemented
20#13074354C211yesmaximal, characteristic, complemented
21#13074354C211yesmaximal, characteristic, complemented
22#13073798C211yesmaximal, characteristic, complemented
23#13073792C211yesmaximal, characteristic, complemented
24#13073578C211yesmaximal, characteristic, complemented
25#13073572C211yesmaximal, characteristic, complemented
26#13072068C211yesmaximal, characteristic, complemented
27#13072067C211yesmaximal, characteristic, complemented
28#13072057C211yesmaximal, characteristic, complemented
29#13072056C211yesmaximal, characteristic, complemented
30C2×#10622563C211yesmaximal, characteristic, complemented
31C2×C11×#538C211yesmaximal, characteristic, complemented
32C24×Dic11C2211yescharacteristic
33C11×#538—28no—
34C2×C11×#126C2211yescharacteristic
35C2×C11×#126C2211yescharacteristic
36C2×C11×#124C2211yescharacteristic
37C2×C11×#124C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×#123C2211yescharacteristic
40C2×C11×C22⋊Q8C2211yescharacteristic
41C2×C11×#121C2211yescharacteristic
42C2×C11×#121C2211yescharacteristic
43C2×C11×#121C2211yescharacteristic
44C2×C11×#120C2211yescharacteristic
45C2×C11×#120C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C2×C4×D4×C11C2211yescharacteristic
48C22×C11×C22⋊C4C2211yescharacteristic
49C2×#67006C2211yescharacteristic
50C2×#67006C2211yescharacteristic
51C22×C22⋊Dic11C2211yescharacteristic
52C2×#66999C2211yescharacteristic, complemented
53C2×#66992C2211yescharacteristic
54C2×#66992C2211yescharacteristic
55C2×#66992C2211yescharacteristic
56C2×#66992C2211yescharacteristic
57C2×#66992C2211yescharacteristic
58C2×#66992C2211yescharacteristic
59C2×#66992C2211yescharacteristic
60C2×#66992C2211yescharacteristic
61C2×#66991C2211yescharacteristic, complemented
62C2×#66983C2211yescharacteristic
63C2×#66983C2211yescharacteristic, complemented
64C2×C4×C22⋊D11C2211yescharacteristic
65C2×C4×C22⋊D11C2211yescharacteristic
66C22×C4⋊Dic11C2211yescharacteristic
67C22×C4⋊Dic11C2211yescharacteristic
68C2×#66977C2211yescharacteristic
69C2×#66977C2211yescharacteristic, complemented
70#10623025—28no—
71C2×#66938C2211yescharacteristic
72C2×#66938C2211yescharacteristic
73C2×#66937C2211yescharacteristic
74C2×#66937C2211yescharacteristic
75C2×#66936C2211yescharacteristic
76C2×#66936C2211yescharacteristic
77C2×#66932C2211yescharacteristic
78C2×#66932C2211yescharacteristic
79#10622844C2211yescharacteristic, complemented
80#10622843C2211yescharacteristic, complemented
81#10622842C2211yescharacteristic, complemented
82#10622836C2211yescharacteristic
83#10622836C2211yescharacteristic
84#10622836C2211yescharacteristic
85#10622836C2211yescharacteristic
86#10622836C2211yescharacteristic, complemented
87#10622835C2211yescharacteristic
88#10622835C2211yescharacteristic
89#10622835C2211yescharacteristic
90#10622835C2211yescharacteristic
91#10622835C2211yescharacteristic, complemented
92#10622834C2211yescharacteristic, complemented
93#10622833C2211yescharacteristic
94#10622833C2211yescharacteristic
95#10622833C2211yescharacteristic
96#10622833C2211yescharacteristic
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic
99#10622833C2211yescharacteristic
100#10622833C2211yescharacteristic
101#10622826C2211yescharacteristic, complemented
102#10622826C2211yescharacteristic, complemented
103#10622825C2211yescharacteristic, complemented
104#10622825C2211yescharacteristic, complemented
105#10622823C2211yescharacteristic, complemented
106#10622823C2211yescharacteristic, complemented
107C2×C11⋊#95C2211yescharacteristic
108C2×C11⋊#95C2211yescharacteristic
109#10622607C2211yescharacteristic, complemented
110#10622607C2211yescharacteristic, complemented
111#10622607C2211yescharacteristic, complemented
112#10622607C2211yescharacteristic, complemented
113#10622606C2211yescharacteristic, complemented
114#10622605C2211yescharacteristic, complemented
115#10622604C2211yescharacteristic, complemented
116#10622602C2211yescharacteristic, complemented
117#10622602C2211yescharacteristic, complemented
118#10622600C2211yescharacteristic, complemented
119#10622600C2211yescharacteristic, complemented
120#10622599C2211yescharacteristic, complemented
121#10622597C2211yescharacteristic, complemented
122#10622597C2211yescharacteristic, complemented
123#10622597C2211yescharacteristic, complemented
124#10622597C2211yescharacteristic, complemented
125#10622596C2211yescharacteristic, complemented
126#10622595C2211yescharacteristic, complemented
127#10622593C2211yescharacteristic, complemented
128#10622592C2211yescharacteristic, complemented
129#10622591C2211yescharacteristic, complemented
130#10622591C2211yescharacteristic, complemented
131#10622586C2211yescharacteristic, complemented
132#10622586C2211yescharacteristic, complemented
133#10622574C2211yescharacteristic, complemented
134#10622574C2211yescharacteristic, complemented
135#10622574C2211yescharacteristic, complemented
136#10622574C2211yescharacteristic, complemented
137#10622573C2211yescharacteristic, complemented
138#10622572C2211yescharacteristic
139#10622572C2211yescharacteristic
140#10622572C2211yescharacteristic
141#10622572C2211yescharacteristic
142#10622571C2211yescharacteristic
143#10622571C2211yescharacteristic
144#10622571C2211yescharacteristic
145#10622571C2211yescharacteristic
146#10622571C2211yescharacteristic
147#10622571C2211yescharacteristic
148#10622571C2211yescharacteristic
149#10622571C2211yescharacteristic
150#10622569C2211yescharacteristic, complemented
151#10622569C2211yescharacteristic, complemented
152#10622566C2211yescharacteristic, complemented
153#10622565C2211yescharacteristic
154#10622565C2211yescharacteristic
155#10622565C2211yescharacteristic
156#10622565C2211yescharacteristic
157#10622563C2211yescharacteristic
158#10622563C2211yescharacteristic
159#10622563C2211yescharacteristic
160#10622563C2211yescharacteristic
161#10622563C2211yescharacteristic
162#10622563C2211yescharacteristic
163#10622563C2211yescharacteristic
164#10622563C2211yescharacteristic
165#10622562C2211yescharacteristic, complemented
166#10622561C2211yescharacteristic, complemented
167#10622561C2211yescharacteristic, complemented
168#10622561C2211yescharacteristic, complemented
169#10622561C2211yescharacteristic, complemented
170#10622560C2211yescharacteristic, complemented
171#10622557C2211yescharacteristic, complemented
172#10622557C2211yescharacteristic, complemented
173#10622555C2211yescharacteristic
174#10622555C2211yescharacteristic
175#10622555C2211yescharacteristic
176#10622555C2211yescharacteristic
177#10622555C2211yescharacteristic
178#10622555C2211yescharacteristic
179#10622555C2211yescharacteristic
180#10622555C2211yescharacteristic
181#10622553C2211yescharacteristic, complemented
182#10622553C2211yescharacteristic, complemented
183#10622552C2211yescharacteristic, complemented
184#10622546C2211yescharacteristic, complemented
185#10622546C2211yescharacteristic, complemented
186#10622542C2211yescharacteristic, complemented
187#10622541C2211yescharacteristic, complemented
188#10622541C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×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
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C23×Dic11—42no—
213C23×Dic11—42no—
214C23×Dic11—42no—
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C23×Dic11C2311yescharacteristic
223C22×D44C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×Dic22C2311yescharacteristic
227C11×#126—24no—
228C11×#126—24no—
229C11×#124—24no—
230C11×#124—24no—
231C11×#123—24no—
232C11×#123—24no—
233C11×C22⋊Q8—24no—
234C11×#121—24no—
235C11×#121—24no—
236C11×#121—24no—
237C11×#120—24no—
238C11×#120—24no—
239C4×D4×C11—24no—
240C4×D4×C11—24no—
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4D418yescomplemented
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C42×C11C2311yescharacteristic
263C2×C42×C11C2311yescharacteristic
264#67006—24no—
265#67006—24no—
266C2×C22⋊Dic11—42no—
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282C2×C22⋊Dic11C2311yescharacteristic
283C2×C22⋊Dic11C2311yescharacteristic
284C2×C22⋊Dic11C2311yescharacteristic
285C2×C22⋊Dic11C2311yescharacteristic
286C2×C22⋊Dic11C2311yescharacteristic
287C2×C22⋊Dic11C2311yescharacteristic
288C2×C22⋊Dic11C2311yescharacteristic
289#66999—42no—
290#66992—42no—
291#66992—42no—
292#66992—42no—
293#66992—42no—
294#66992—42no—
295#66992—42no—
296#66992—42no—
297#66992—42no—
298#66991—42no—
299#66983—24no—
300#66983—42no—
301C4×C22⋊D11—24no—
302C4×C22⋊D11—24no—
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×C4⋊Dic11—42no—
320C2×C4⋊Dic11—42no—
321C2×C4⋊Dic11C2311yescharacteristic
322C2×C4⋊Dic11C2311yescharacteristic
323C2×C4⋊Dic11C2311yescharacteristic
324C2×C4⋊Dic11C2311yescharacteristic
325C2×C4⋊Dic11C2311yescharacteristic
326C2×C4⋊Dic11C2311yescharacteristic
327C2×C4⋊Dic11C2311yescharacteristic
328C2×C4⋊Dic11C2311yescharacteristic
329C2×C4⋊Dic11C2311yescharacteristic
330C2×C4⋊Dic11C2311yescharacteristic
331#66977—24no—
332#66977—42no—
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×Dic11⋊C4C2311yescharacteristic
339C2×Dic11⋊C4C2311yescharacteristic
340C2×Dic11⋊C4C2311yescharacteristic
341C2×Dic11⋊C4C2311yescharacteristic
342C2×Dic11⋊C4C2311yescharacteristic
343C2×Dic11⋊C4C2311yescharacteristic
344C2×Dic11⋊C4C2311yescharacteristic
345C2×Dic11⋊C4C2311yescharacteristic
346C2×Dic11⋊C4C2311yescharacteristic
347C2×Dic11⋊C4C2311yescharacteristic
348C2×Dic11⋊C4C2311yescharacteristic
349C2×C4×Dic11C2311yescharacteristic
350C2×C4×Dic11C2311yescharacteristic
351#66938—24no—
352#66938—24no—
353#66937—24no—
354#66937—24no—
355#66936—24no—
356#66936—24no—
357#66932—24no—
358#66932—24no—
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
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#36738—111nomaximal, Sylow
392C24×C11—22no—
393C24×C11—22no—
394C24×C11—41no—
395C24×C11—41no—
396C24×C11—41no—
397C24×C11—41no—
398C24×C11C2×D414yes—
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C24×C11C2411yescharacteristic
403C24×C11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C2×Q8×C11—22no—
407C2×Q8×C11—41no—
408C2×Q8×C11—41no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—22no—
418C2×D4×C11—22no—
419C2×D4×C11—22no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C2×D4×C11—41no—
427C2×D4×C11—41no—
428C2×D4×C11—41no—
429C2×D4×C11—41no—
430C22×C4×C11—22no—
431C22×C4×C11—22no—
432C22×C4×C11—41no—
433C22×C4×C11—41no—
434C22×C4×C11—41no—
435C22×C4×C11—41no—
436C22×C4×C11—41no—
437C22×C4×C11—41no—
438C22×C4×C11—41no—
439C22×C4×C11—41no—
440C22×C4×C11C2×D414yes—
441C22×C4×C11C2×D414yes—
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C2×C22⋊D11—41no—
478C2×C22⋊D11—41no—
479C2×C22⋊D11—41no—
480C2×C22⋊D11—41no—
481C2×C22⋊D11—41no—
482C22×Dic11—22no—
483C22×Dic11—22no—
484C22×Dic11—22no—
485C22×Dic11—22no—
486C22×Dic11—22no—
487C22×Dic11—22no—
488C22×Dic11—22no—
489C22×Dic11—22no—
490C22×Dic11—22no—
491C22×Dic11—22no—
492C22×Dic11—41no—
493C22×Dic11—41no—
494C22×Dic11—41no—
495C22×Dic11—41no—
496C22×Dic11—41no—
497C22×Dic11—41no—
498C22×Dic11—41no—
499C22×Dic11—41no—
500C22×Dic11—41no—
501C22×Dic11—41no—
502C22×Dic11—41no—
503C22×Dic11—41no—
504C22×Dic11—41no—
505C22×Dic11—41no—
506C22×Dic11—416no—
507C22×Dic11C2411yescharacteristic
508C22×Dic11C2411yescharacteristic
509C22×Dic11C2411yescharacteristic
510C22×Dic11C2411yescharacteristic
511C22×Dic11C2411yescharacteristic
512C22×Dic11C2411yescharacteristic
513C22×Dic11C2411yescharacteristic
514C22×Dic11C2411yescharacteristic
515C22×Dic11C2411yescharacteristic
516C22×Dic11C2411yescharacteristic
517C22×Dic11C2411yescharacteristic
518C22×Dic11C2411yescharacteristic
519C22×Dic11C2411yescharacteristic
520C22×Dic11C2411yescharacteristic
521C2×D44—22no—
522C2×D44—41no—
523C2×D44—41no—
524C2×C4×D11—22no—
525C2×C4×D11—22no—
526C2×C4×D11—41no—
527C2×C4×D11—41no—
528C2×C4×D11—41no—
529C2×C4×D11—41no—
530C2×Dic22—22no—
531C2×Dic22—41no—
532C2×Dic22—41no—
533C11×C4⋊C4—22no—
534C11×C4⋊C4—22no—
535C11×C4⋊C4—22no—
536C11×C4⋊C4—22no—
537C11×C4⋊C4—22no—
538C11×C4⋊C4—22no—
539C11×C22⋊C4—22no—
540C11×C22⋊C4—22no—
541C11×C22⋊C4—22no—
542C11×C22⋊C4—22no—
543C11×C22⋊C4—22no—
544C11×C22⋊C4—22no—
545C11×C22⋊C4—22no—
546C11×C22⋊C4—22no—
547C11×C22⋊C4—22no—
548C11×C22⋊C4—22no—
549C11×C22⋊C4C2×D414yes—
550C11×C22⋊C4C2×D414yes—
551C11×C22⋊C4C2×D414yes—
552C11×C22⋊C4C2×D414yes—
553C42×C11—22no—
554C42×C11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—22no—
559C22⋊Dic11—22no—
560C22⋊Dic11—22no—
561C22⋊Dic11—22no—
562C22⋊Dic11—22no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565C22⋊Dic11—41no—
566C22⋊Dic11—41no—
567C22⋊Dic11—41no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570C22⋊Dic11—41no—
571C22⋊Dic11—41no—
572C22⋊Dic11—41no—
573C22⋊Dic11—41no—
574C22⋊Dic11—41no—
575C22⋊Dic11—41no—
576C22⋊Dic11—41no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—41no—
584(C2×D11)⋊C4—41no—
585(C2×D11)⋊C4—41no—
586(C2×D11)⋊C4—41no—
587(C2×D11)⋊C4—41no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4—41no—
590(C2×D11)⋊C4—41no—
591(C2×D11)⋊C4—41no—
592(C2×D11)⋊C4—41no—
593C4⋊Dic11—22no—
594C4⋊Dic11—22no—
595C4⋊Dic11—22no—
596C4⋊Dic11—22no—
597C4⋊Dic11—22no—
598C4⋊Dic11—22no—
599C4⋊Dic11—41no—
600C4⋊Dic11—41no—
601C4⋊Dic11—41no—
602C4⋊Dic11—41no—
603Dic11⋊C4—22no—
604Dic11⋊C4—22no—
605Dic11⋊C4—22no—
606Dic11⋊C4—22no—
607Dic11⋊C4—22no—
608Dic11⋊C4—22no—
609Dic11⋊C4—41no—
610Dic11⋊C4—41no—
611Dic11⋊C4—41no—
612Dic11⋊C4—41no—
613Dic11⋊C4—41no—
614Dic11⋊C4—41no—
615Dic11⋊C4—41no—
616Dic11⋊C4—41no—
617Dic11⋊C4—41no—
618Dic11⋊C4—41no—
619C4×Dic11—22no—
620C4×Dic11—22no—
621C2×#538—111no—
622C2×#538D1111yescharacteristic, complemented
623#2847—111no—
624#2847—111no—
625#2722—111no—
626#2715—111no—
627#2715—111no—
628#2712—111no—
629#2695—111no—
630#2695—111no—
631#2693—111no—
632#2691—111no—
633#2691—111no—
634#2676—111no—
635#2676—111no—
636#2675—111no—
637#2672—111no—
638#2672—111no—
639#2671—111no—
640#2671—111no—
641#2617—111no—
642#2617—111no—
643#2564—111no—
644#2564—111no—
645#2543—111no—
646#2543—111no—
647#2417—111no—
648#2417—111no—
649#2416—111no—
650#2416—111no—
651C2×#385—111no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—28no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—21no—
679C23×C11—21no—
680C23×C11—21no—
681C23×C11—21no—
682C23×C11—21no—
683C23×C11—44no—
684C23×C11—44no—
685C23×C11—44no—
686C23×C11—44no—
687C23×C11—44no—
688C23×C11—44no—
689C23×C11C22×D412yes—
690C23×C11C22×D412yes—
691C23×C11C22×D412yes—
692C23×C11H(5,𝔽2)12yes—
693C23×C112−1+412yes—
694C23×C11C2511yescharacteristic
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—21no—
709Q8×C11—82no—
710D4×C11—44no—
711D4×C11—44no—
712D4×C11—82no—
713D4×C11—82no—
714D4×C11—82no—
715D4×C11—82no—
716D4×C11—82no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—44no—
744C2×C4×C11—44no—
745C2×C4×C11—82no—
746C2×C4×C11—82no—
747C2×C4×C11C22×D412yes—
748C2×C4×C11C22×D412yes—
749C2×C4×C11C22×D412yes—
750C2×C4×C11C22×D412yes—
751C22⋊D11—44no—
752C22⋊D11—44no—
753C22⋊D11—82no—
754C22⋊D11—82no—
755C22⋊D11—82no—
756C22⋊D11—82no—
757C22⋊D11—82no—
758C22⋊D11—82no—
759C22⋊D11—82no—
760C22⋊D11—82no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—44no—
802C2×Dic11—44no—
803C2×Dic11—44no—
804C2×Dic11—44no—
805C2×Dic11—44no—
806C2×Dic11—44no—
807C2×Dic11—82no—
808C2×Dic11—82no—
809C2×Dic11H(5,𝔽2)12yes—
810C2×Dic11H(5,𝔽2)12yes—
811D44—82no—
812C4×D11—82no—
813C4×D11—82no—
814Dic22—82no—
815C24×C4—111no—
816#538—28no—
817#538—228no—
818C2×#126—111no—
819C2×#126—111no—
820C2×#126C2×D1111yescharacteristic
821C2×#126C2×D1111yescharacteristic
822C2×#124—111no—
823C2×#124—111no—
824C2×#124C2×D1111yescharacteristic
825C2×#124C2×D1111yescharacteristic
826C2×#123—111no—
827C2×#123—111no—
828C2×#123C2×D1111yescharacteristic
829C2×#123C2×D1111yescharacteristic
830C2×C22⋊Q8—111no—
831C2×C22⋊Q8—111no—
832C2×C22⋊Q8—111no—
833C2×C22⋊Q8C2×D1111yescharacteristic
834C2×#121—111no—
835C2×#121—111no—
836C2×#121—111no—
837C2×#121—111no—
838C2×#121—111no—
839C2×#121—111no—
840C2×#121—111no—
841C2×#121—111no—
842C2×#121—111no—
843C2×#121—111no—
844C2×#121—111no—
845C2×#121—111no—
846C2×#121—111no—
847C2×#121C2×D1111yescharacteristic
848C2×#121C2×D1111yescharacteristic
849C2×#121C2×D1111yescharacteristic
850C2×#120—111no—
851C2×#120—111no—
852C2×#120C2×D1111yescharacteristic
853C2×#120C2×D1111yescharacteristic
854C2×C4×D4—111no—
855C2×C4×D4—111no—
856C2×C4×D4C2×D1111yescharacteristic
857C2×C4×D4C2×D1111yescharacteristic
858C22×C4⋊C4—111no—
859C22×C4⋊C4—111no—
860C22×C22⋊C4—111no—
861C22×C22⋊C4C2×D1111yescharacteristic
862#400—111no—
863#400—111no—
864#399—111no—
865#399—111no—
866#398—111no—
867#398—111no—
868#398—111no—
869#398—111no—
870#398—111no—
871#398—111no—
872#397—111no—
873#397—111no—
874#397—111no—
875#397—111no—
876#397—111no—
877#397—111no—
878#396—111no—
879#396—111no—
880#396—111no—
881#396—111no—
882#396—111no—
883#396—111no—
884#396—111no—
885#396—111no—
886#395—111no—
887#395—111no—
888#394—111no—
889#394—111no—
890#394—111no—
891#394—111no—
892#394—111no—
893#394—111no—
894#394—111no—
895#394—111no—
896#394—111no—
897#394—111no—
898#394—111no—
899#394—111no—
900#394—111no—
901#394—111no—
902#393—111no—
903#393—111no—
904#392—111no—
905#392—111no—
906#392—111no—
907#392—111no—
908#392—111no—
909#392—111no—
910#391—111no—
911#391—111no—
912#390—111no—
913#390—111no—
914#389—111no—
915#389—111no—
916#389—111no—
917#389—111no—
918#388—111no—
919#388—111no—
920#388—111no—
921#388—111no—
922#387—111no—
923#387—111no—
924#387—111no—
925#387—111no—
926#386—111no—
927#386—111no—
928#386—111no—
929#386—111no—
930#386—111no—
931#386—111no—
932#386—111no—
933#386—111no—
934#386—111no—
935#386—111no—
936#386—111no—
937#386—111no—
938#386—111no—
939#386—111no—
940#386—111no—
941#386—111no—
942#386—111no—
943#386—111no—
944#386—111no—
945#386—111no—
946#385—111no—
947#385—111no—
948#385—111no—
949#385—111no—
950#385—111no—
951#385—111no—
952#385—111no—
953#385—111no—
954#385—111no—
955#385—111no—
956#385—111no—
957#385—111no—
958#380—111no—
959#380—111no—
960#380—111no—
961#380—111no—
962#380—111no—
963#380—111no—
964#380—111no—
965#380—111no—
966#380—111no—
967#380—111no—
968#380—111no—
969#380—111no—
970C2×#95—111no—
971C2×#95—111no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—22no—
977C22×C11—22no—
978C22×C11—22no—
979C22×C11—22no—
980C22×C11—22no—
981C22×C11—22no—
982C22×C11—22no—
983C22×C11—22no—
984C22×C11—416no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—41no—
1000C22×C11—41no—
1001C22×C11—41no—
1002C22×C11—41no—
1003C22×C11—41no—
1004C22×C11—41no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11#53714yes—
1008C22×C11C23×D411yescharacteristic
1009C22×C11C2×H(5,𝔽2)11yescharacteristic
1010C22×C11C2×H(5,𝔽2)11yescharacteristic
1011C22×C11C2×H(5,𝔽2)11yescharacteristic
1012C22×C11C2×2−1+411yescharacteristic
1013C22×C11#58511yescharacteristic
1014C22×C11#58511yescharacteristic
1015C2×D11—41no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C4×C11—22no—
1030C4×C11—22no—
1031C4×C11—22no—
1032C4×C11—22no—
1033C4×C11—41no—
1034C4×C11—41no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039Dic11—22no—
1040Dic11—22no—
1041Dic11—41no—
1042Dic11—41no—
1043Dic11—41no—
1044Dic11—41no—
1045Dic11—41no—
1046Dic11—41no—
1047Dic11—41no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053C25C22×D1111yescharacteristic
1054C22×Q8—111no—
1055C22×Q8C22×D1111yescharacteristic
1056C22×D4—111no—
1057C22×D4—111no—
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4C22×D1111yescharacteristic
1068C22×D4C22×D1111yescharacteristic
1069C22×D4C22×D1111yescharacteristic
1070C22×D4C22×D1111yescharacteristic
1071C22×D4C22×D1111yescharacteristic
1072C22×D4C22×D1111yescharacteristic
1073C22×D4C22×D1111yescharacteristic
1074C23×C4—111no—
1075C23×C4—111no—
1076C23×C4—111no—
1077C23×C4—111no—
1078C23×C4—111no—
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—442no—
1085C23×C4—442no—
1086C23×C4—442no—
1087C23×C4C22×D1111yescharacteristic
1088C23×C4C22×D1111yescharacteristic
1089C23×C4C22×D1111yescharacteristic
1090C23×C4C22×D1111yescharacteristic
1091#126—24no—
1092#126—24no—
1093#126—224no—
1094#126—224no—
1095#124—24no—
1096#124—24no—
1097#124—224no—
1098#124—224no—
1099#123—24no—
1100#123—24no—
1101#123—224no—
1102#123—224no—
1103C22⋊Q8—24no—
1104C22⋊Q8—224no—
1105C22⋊Q8—442no—
1106C22⋊Q8—442no—
1107#121—24no—
1108#121—24no—
1109#121—24no—
1110#121—224no—
1111#121—224no—
1112#121—224no—
1113#121—442no—
1114#121—442no—
1115#121—442no—
1116#121—442no—
1117#121—442no—
1118#121—442no—
1119#121—442no—
1120#121—442no—
1121#121—442no—
1122#121—442no—
1123#120—24no—
1124#120—24no—
1125#120—224no—
1126#120—224no—
1127C4×D4—24no—
1128C4×D4—24no—
1129C4×D4—224no—
1130C4×D4—224no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4—111no—
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4—111no—
1144C2×C4⋊C4—111no—
1145C2×C4⋊C4—111no—
1146C2×C4⋊C4—111no—
1147C2×C4⋊C4—111no—
1148C2×C4⋊C4—111no—
1149C2×C4⋊C4—111no—
1150C2×C4⋊C4—111no—
1151C2×C4⋊C4—111no—
1152C2×C4⋊C4—111no—
1153C2×C4⋊C4—111no—
1154C2×C4⋊C4—111no—
1155C2×C4⋊C4—111no—
1156C2×C4⋊C4—111no—
1157C2×C4⋊C4—442no—
1158C2×C4⋊C4—442no—
1159C2×C4⋊C4C22×D1111yescharacteristic
1160C2×C4⋊C4C22×D1111yescharacteristic
1161C2×C4⋊C4C22×D1111yescharacteristic
1162C2×C4⋊C4C22×D1111yescharacteristic
1163C2×C4⋊C4C22×D1111yescharacteristic
1164C2×C4⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—442no—
1204C2×C22⋊C4C22⋊D1118yescomplemented
1205C2×C22⋊C4C22×D1111yescharacteristic
1206C2×C22⋊C4C22×D1111yescharacteristic
1207C2×C22⋊C4C22×D1111yescharacteristic
1208C2×C22⋊C4C22×D1111yescharacteristic
1209C2×C22⋊C4C22×D1111yescharacteristic
1210C2×C22⋊C4C22×D1111yescharacteristic
1211C2×C22⋊C4C22×D1111yescharacteristic
1212C2×C22⋊C4C22×D1111yescharacteristic
1213C2×C22⋊C4C22×D1111yescharacteristic
1214C2×C22⋊C4C22×D1111yescharacteristic
1215C2×C22⋊C4C22×D1111yescharacteristic
1216C2×C22⋊C4C22×D1111yescharacteristic
1217C2×C22⋊C4C22×D1111yescharacteristic
1218C2×C22⋊C4C22×D1111yescharacteristic
1219C2×C42—111no—
1220C2×C42—111no—
1221C2×C42C22×D1111yescharacteristic
1222C2×C42C22×D1111yescharacteristic
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95—111no—
1244#95—111no—
1245#95—111no—
1246#95—111no—
1247#95—111no—
1248#95—111no—
1249#95—111no—
1250#95—111no—
1251#95—111no—
1252#95—111no—
1253#95—111no—
1254#95—111no—
1255C2×C11—24no—
1256C2×C11—42no—
1257C2×C11—42no—
1258C2×C11—81no—
1259C2×C11—81no—
1260C2×C11C2×#53711yescharacteristic
1261C2×C11#349611yescharacteristic
1262C2×C11#349611yescharacteristic
1263C2×C11#353211yescharacteristic
1264C2×C11#353311yescharacteristic
1265C2×C11#354111yescharacteristic
1266C2×C11#354111yescharacteristic
1267D11—81no—
1268D11—81no—
1269C24—22no—
1270C24—22no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—111no—
1276C24—111no—
1277C24C2×C22⋊D1114yes—
1278C24C23×D1111yescharacteristic
1279C24C23×D1111yescharacteristic
1280C24C23×D1111yescharacteristic
1281C24C23×D1111yescharacteristic
1282C24C23×D1111yescharacteristic
1283C2×Q8—22no—
1284C2×Q8—41no—
1285C2×Q8—41no—
1286C2×Q8—222no—
1287C2×Q8—441no—
1288C2×Q8—441no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—222no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—222no—
1316C2×D4—222no—
1317C2×D4—222no—
1318C2×D4—222no—
1319C2×D4—222no—
1320C2×D4—222no—
1321C2×D4—222no—
1322C2×D4—222no—
1323C2×D4—441no—
1324C2×D4—441no—
1325C2×D4—441no—
1326C2×D4—441no—
1327C2×D4—441no—
1328C2×D4—441no—
1329C2×D4—441no—
1330C2×D4—441no—
1331C2×D4—441no—
1332C2×D4—441no—
1333C2×D4—441no—
1334C2×D4—441no—
1335C2×D4—441no—
1336C2×D4—441no—
1337C2×D4—441no—
1338C2×D4—441no—
1339C2×D4—441no—
1340C2×D4—441no—
1341C2×D4—441no—
1342C2×D4—441no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—111no—
1354C22×C4—111no—
1355C22×C4—111no—
1356C22×C4—111no—
1357C22×C4—111no—
1358C22×C4—111no—
1359C22×C4—111no—
1360C22×C4—111no—
1361C22×C4—111no—
1362C22×C4—111no—
1363C22×C4—111no—
1364C22×C4—111no—
1365C22×C4—111no—
1366C22×C4—111no—
1367C22×C4—222no—
1368C22×C4—222no—
1369C22×C4—222no—
1370C22×C4—222no—
1371C22×C4—222no—
1372C22×C4—222no—
1373C22×C4—222no—
1374C22×C4—222no—
1375C22×C4—222no—
1376C22×C4—222no—
1377C22×C4—222no—
1378C22×C4—222no—
1379C22×C4—441no—
1380C22×C4—441no—
1381C22×C4—441no—
1382C22×C4—441no—
1383C22×C4—441no—
1384C22×C4—441no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4—441no—
1388C22×C4—441no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—441no—
1392C22×C4—441no—
1393C22×C4—441no—
1394C22×C4—441no—
1395C22×C4—441no—
1396C22×C4—441no—
1397C22×C4—4416no—
1398C22×C4C2×C22⋊D1114yes—
1399C22×C4C2×C22⋊D1114yes—
1400C22×C4C23×D1111yescharacteristic
1401C22×C4C23×D1111yescharacteristic
1402C22×C4C23×D1111yescharacteristic
1403C22×C4C23×D1111yescharacteristic
1404C22×C4C23×D1111yescharacteristic
1405C22×C4C23×D1111yescharacteristic
1406C22×C4C23×D1111yescharacteristic
1407C22×C4C23×D1111yescharacteristic
1408C22×C4C23×D1111yescharacteristic
1409C22×C4C23×D1111yescharacteristic
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—222no—
1417C4⋊C4—222no—
1418C4⋊C4—222no—
1419C4⋊C4—222no—
1420C4⋊C4—222no—
1421C4⋊C4—222no—
1422C4⋊C4—222no—
1423C4⋊C4—222no—
1424C4⋊C4—222no—
1425C4⋊C4—222no—
1426C4⋊C4—222no—
1427C4⋊C4—222no—
1428C4⋊C4—441no—
1429C4⋊C4—441no—
1430C4⋊C4—441no—
1431C4⋊C4—441no—
1432C4⋊C4—441no—
1433C4⋊C4—441no—
1434C4⋊C4—441no—
1435C4⋊C4—441no—
1436C4⋊C4—441no—
1437C4⋊C4—441no—
1438C4⋊C4—441no—
1439C4⋊C4—441no—
1440C4⋊C4—441no—
1441C4⋊C4—441no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—222no—
1453C22⋊C4—222no—
1454C22⋊C4—222no—
1455C22⋊C4—222no—
1456C22⋊C4—222no—
1457C22⋊C4—222no—
1458C22⋊C4—222no—
1459C22⋊C4—222no—
1460C22⋊C4—222no—
1461C22⋊C4—222no—
1462C22⋊C4—222no—
1463C22⋊C4—222no—
1464C22⋊C4—222no—
1465C22⋊C4—222no—
1466C22⋊C4—441no—
1467C22⋊C4—441no—
1468C22⋊C4—441no—
1469C22⋊C4—441no—
1470C22⋊C4—441no—
1471C22⋊C4—441no—
1472C22⋊C4—441no—
1473C22⋊C4—441no—
1474C22⋊C4—441no—
1475C22⋊C4—441no—
1476C22⋊C4—441no—
1477C22⋊C4—441no—
1478C22⋊C4—441no—
1479C22⋊C4—441no—
1480C22⋊C4—441no—
1481C22⋊C4—441no—
1482C22⋊C4—441no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4—441no—
1486C22⋊C4—441no—
1487C22⋊C4—441no—
1488C22⋊C4—441no—
1489C22⋊C4—441no—
1490C22⋊C4C2×C22⋊D1114yes—
1491C22⋊C4C2×C22⋊D1114yes—
1492C22⋊C4C2×C22⋊D1114yes—
1493C22⋊C4C2×C22⋊D1114yes—
1494C42—22no—
1495C42—22no—
1496C42—222no—
1497C42—222no—
1498C11#3673811yescharacteristic, complemented, Sylow
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—28no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—44no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
1545C23—221no—
1546C23—221no—
1547C23—221no—
1548C23—221no—
1549C23—221no—
1550C23#6704212yes—
1551C23#6704312yes—
1552C23C22×C22⋊D1112yes—
1553C23C22×C22⋊D1112yes—
1554C23C22×C22⋊D1112yes—
1555C23C24×D1111yescharacteristic
1556Q8—82no—
1557Q8—882no—
1558D4—44no—
1559D4—44no—
1560D4—82no—
1561D4—82no—
1562D4—82no—
1563D4—82no—
1564D4—82no—
1565D4—444no—
1566D4—444no—
1567D4—882no—
1568D4—882no—
1569D4—882no—
1570D4—882no—
1571D4—882no—
1572D4—882no—
1573D4—882no—
1574D4—882no—
1575D4—882no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—82no—
1605C2×C4—82no—
1606C2×C4—112no—
1607C2×C4—112no—
1608C2×C4—221no—
1609C2×C4—221no—
1610C2×C4—221no—
1611C2×C4—221no—
1612C2×C4—221no—
1613C2×C4—221no—
1614C2×C4—221no—
1615C2×C4—221no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—444no—
1649C2×C4—444no—
1650C2×C4—444no—
1651C2×C4—444no—
1652C2×C4—444no—
1653C2×C4—444no—
1654C2×C4—882no—
1655C2×C4—882no—
1656C2×C4—882no—
1657C2×C4—882no—
1658C2×C4C22×C22⋊D1112yes—
1659C2×C4C22×C22⋊D1112yes—
1660C2×C4C22×C22⋊D1112yes—
1661C2×C4C22×C22⋊D1112yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—416no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22—441no—
1702C22—441no—
1703C22—441no—
1704C22—441no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22#1062336414yes—
1712C22C2×#6704211yescharacteristic
1713C22C2×#6704311yescharacteristic
1714C22D11×H(5,𝔽2)11yescharacteristic
1715C22D11×H(5,𝔽2)11yescharacteristic
1716C22#1062345511yescharacteristic
1717C22#1062345511yescharacteristic
1718C22C23×C22⋊D1111yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—22no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—222no—
1730C4—222no—
1731C4—441no—
1732C4—441no—
1733C4—441no—
1734C4—441no—
1735C4—441no—
1736C4—441no—
1737C4—441no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C2—24no—
1744C2—42no—
1745C2—42no—
1746C2—81no—
1747C2—81no—
1748C2—881no—
1749C2—881no—
1750C2C2×#1062336411yescharacteristic
1751C2#1308237511yescharacteristic
1752C2#1308237511yescharacteristic
1753C2#1308276711yescharacteristic
1754C2#1308278411yescharacteristic
1755C2#1308289611yescharacteristic
1756C2#1308290411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC2×C11×#538C2
hypercenterC2×#538D11
hypocenterC11#36738
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#10623025C2semidirect
2. #13076896C2semidirect
3. #13076896C2semidirect
4. #13075520C2semidirect
5. #13075423C2semidirect
6. #13075421C2semidirect
7. #13075382C2semidirect
8. #13075147C2semidirect
9. #13075145C2semidirect
10. #13075121C2semidirect
11. #13075093C2semidirect
12. #13075091C2semidirect
13. #13074917C2semidirect
14. #13074912C2semidirect
15. #13074906C2semidirect
16. #13074867C2semidirect
17. #13074862C2semidirect
18. #13074852C2semidirect
19. #13074847C2semidirect
20. #13074354C2semidirect
21. #13074354C2semidirect
22. #13073798C2semidirect
23. #13073792C2semidirect
24. #13073578C2semidirect
25. #13073572C2semidirect
26. #13072068C2semidirect
27. #13072067C2semidirect
28. #13072057C2semidirect
29. #13072056C2semidirect
30. C2×#10622563C2semidirect
31. C2×C11×#538C2semidirect
52. C2×#66999C22semidirect
61. C2×#66991C22semidirect
63. C2×#66983C22semidirect
69. C2×#66977C22semidirect
79. #10622844C22semidirect
80. #10622843C22semidirect
81. #10622842C22semidirect
86. #10622836C22semidirect
91. #10622835C22semidirect
92. #10622834C22semidirect
101. #10622826C22semidirect
102. #10622826C22semidirect
103. #10622825C22semidirect
104. #10622825C22semidirect
105. #10622823C22semidirect
106. #10622823C22semidirect
109. #10622607C22semidirect
110. #10622607C22semidirect
111. #10622607C22semidirect
112. #10622607C22semidirect
113. #10622606C22semidirect
114. #10622605C22semidirect
115. #10622604C22semidirect
116. #10622602C22semidirect
117. #10622602C22semidirect
118. #10622600C22semidirect
119. #10622600C22semidirect
120. #10622599C22semidirect
121. #10622597C22semidirect
122. #10622597C22semidirect
123. #10622597C22semidirect
124. #10622597C22semidirect
125. #10622596C22semidirect
126. #10622595C22semidirect
127. #10622593C22semidirect
128. #10622592C22semidirect
129. #10622591C22semidirect
130. #10622591C22semidirect
131. #10622586C22semidirect
132. #10622586C22semidirect
133. #10622574C22semidirect
134. #10622574C22semidirect
135. #10622574C22semidirect
136. #10622574C22semidirect
137. #10622573C22semidirect
150. #10622569C22semidirect
151. #10622569C22semidirect
152. #10622566C22semidirect
165. #10622562C22semidirect
166. #10622561C22semidirect
167. #10622561C22semidirect
168. #10622561C22semidirect
169. #10622561C22semidirect
170. #10622560C22semidirect
171. #10622557C22semidirect
172. #10622557C22semidirect
181. #10622553C22semidirect
182. #10622553C22semidirect
183. #10622552C22semidirect
184. #10622546C22semidirect
185. #10622546C22semidirect
186. #10622542C22semidirect
187. #10622541C22semidirect
188. #10622541C22semidirect
247. C2×C11×C22⋊C4D4semidirect
622. C2×#538D11semidirect
1204. C2×C22⋊C4C22⋊D11semidirect
1498. C11#36738semidirect

Maximal subgroups

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

subgroupindex
C2×#106230252
#130768962
#130755202
#130754232
#130754212
#130753822
#130751472
#130751452
#130751212
#130750932
#130750912
#130749172
#130749122
#130749062
#130748672
#130748622
#130748522
#130748472
#130743542
#130737982
#130737922
#130735782
#130735722
#130720682
#130720672
#130720572
#130720562
C2×#106225632
C2×C11×#5382
#3673811