Finite Group Databasebeta

← #14961241

Subgroups — #14961241

Order 2816.

2064 conjugacy classes of subgroups.

The subgroup lattice has 1526 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623095C211yesmaximal, characteristic, complemented
2#13076964C211yesmaximal, characteristic, complemented
3#13076945C211yesmaximal, characteristic, complemented
4#13075520C211yesmaximal, characteristic, complemented
5#13075490C211yesmaximal, characteristic, complemented
6#13075460C211yesmaximal, characteristic, complemented
7#13075451C211yesmaximal, characteristic, complemented
8#13075421C211yesmaximal, characteristic, complemented
9#13075391C211yesmaximal, characteristic, complemented
10#13075352C211yesmaximal, characteristic, complemented
11#13075328C211yesmaximal, characteristic, complemented
12#13075145C211yesmaximal, characteristic, complemented
13#13075106C211yesmaximal, characteristic, complemented
14#13075061C211yesmaximal, characteristic, complemented
15#13075016C211yesmaximal, characteristic, complemented
16#13074926C211yesmaximal, characteristic, complemented
17#13074891C211yesmaximal, characteristic, complemented
18#13074862C211yesmaximal, characteristic, complemented
19#13074846C211yesmaximal, characteristic
20#13074767C211yesmaximal, characteristic, complemented
21#13074766C211yesmaximal, characteristic, complemented
22#13074314C211yesmaximal, characteristic, complemented
23#13074248C211yesmaximal, characteristic, complemented
24#13074230C211yesmaximal, characteristic, complemented
25#13074213C211yesmaximal, characteristic, complemented
26#13074004C211yesmaximal, characteristic, complemented
27#13073997C211yesmaximal, characteristic, complemented
28#13072046C211yesmaximal, characteristic, complemented
29#13072024C211yesmaximal, characteristic, complemented
30#13071061C211yesmaximal, characteristic, complemented
31C2×C11×#542C211yesmaximal, characteristic, complemented
32C11×#542—28no—
33C2×C11×C4⋊Q8C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×#126C2211yescharacteristic
36C2×C11×#124C2211yescharacteristic
37C2×C11×#124C2211yescharacteristic
38C2×C11×#124C2211yescharacteristic
39C2×C11×#123C2211yescharacteristic
40C2×C11×#123C2211yescharacteristic
41C2×C11×C22⋊Q8C2211yescharacteristic
42C2×C11×C22⋊Q8C2211yescharacteristic
43C2×C11×C22⋊Q8C2211yescharacteristic
44C2×C11×#121C2211yescharacteristic
45C2×C4×Q8×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C2×C11×#117C2211yescharacteristic
48C2×#66999C2211yescharacteristic
49C2×#66997C2211yescharacteristic
50C2×#66992C2211yescharacteristic
51C2×#66992C2211yescharacteristic
52C2×#66988C2211yescharacteristic
53C2×#66988C2211yescharacteristic
54C2×#66982C2211yescharacteristic
55C2×C4×C22⋊D11C2211yescharacteristic
56C2×#66979C2211yescharacteristic
57C2×#66977C2211yescharacteristic
58C22×Dic11⋊C4C2211yescharacteristic
59C22×C4×Dic11C2211yescharacteristic
60#10623095—28no—
61C2×#66949C2211yescharacteristic
62C2×#66942C2211yescharacteristic
63C2×#66939C2211yescharacteristic
64C2×#66936C2211yescharacteristic
65C2×#66932C2211yescharacteristic
66C2×#66931C2211yescharacteristic
67C2×#66929C2211yescharacteristic
68C2×#66923C2211yescharacteristic
69#10622844C2211yescharacteristic
70#10622844C2211yescharacteristic
71#10622843C2211yescharacteristic
72#10622843C2211yescharacteristic
73#10622842C2211yescharacteristic
74#10622842C2211yescharacteristic
75#10622842C2211yescharacteristic
76#10622842C2211yescharacteristic
77#10622842C2211yescharacteristic
78#10622842C2211yescharacteristic
79#10622836C2211yescharacteristic
80#10622835C2211yescharacteristic
81#10622835C2211yescharacteristic
82#10622835C2211yescharacteristic
83#10622833C2211yescharacteristic
84#10622833C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622833C2211yescharacteristic
87#10622826C2211yescharacteristic
88#10622823C2211yescharacteristic
89#10622823C2211yescharacteristic
90#10622823C2211yescharacteristic
91C4×C22⋊Dic11C2211yescharacteristic
92C4×C22⋊Dic11C2211yescharacteristic
93#10622607C2211yescharacteristic
94#10622605C2211yescharacteristic
95#10622605C2211yescharacteristic
96#10622603C2211yescharacteristic
97#10622603C2211yescharacteristic
98#10622603C2211yescharacteristic
99#10622603C2211yescharacteristic
100#10622602C2211yescharacteristic
101#10622600C2211yescharacteristic
102#10622599C2211yescharacteristic
103#10622599C2211yescharacteristic
104#10622597C2211yescharacteristic
105#10622597C2211yescharacteristic
106#10622597C2211yescharacteristic
107#10622596C2211yescharacteristic
108#10622595C2211yescharacteristic
109#10622595C2211yescharacteristic
110#10622594C2211yescharacteristic
111#10622594C2211yescharacteristic
112#10622593C2211yescharacteristic
113#10622593C2211yescharacteristic
114#10622593C2211yescharacteristic
115#10622593C2211yescharacteristic
116#10622592C2211yescharacteristic
117#10622591C2211yescharacteristic
118#10622589C2211yescharacteristic
119#10622587C2211yescharacteristic
120#10622586C2211yescharacteristic
121#10622585C2211yescharacteristic
122#10622585C2211yescharacteristic
123#10622585C2211yescharacteristic
124#10622585C2211yescharacteristic
125#10622585C2211yescharacteristic
126#10622585C2211yescharacteristic
127#10622585C2211yescharacteristic
128#10622585C2211yescharacteristic
129#10622585C2211yescharacteristic
130#10622585C2211yescharacteristic
131#10622574C2211yescharacteristic
132#10622572C2211yescharacteristic
133#10622572C2211yescharacteristic
134#10622572C2211yescharacteristic
135#10622572C2211yescharacteristic
136#10622572C2211yescharacteristic
137#10622571C2211yescharacteristic
138#10622570C2211yescharacteristic
139#10622570C2211yescharacteristic
140#10622569C2211yescharacteristic
141#10622566C2211yescharacteristic
142#10622565C2211yescharacteristic
143#10622565C2211yescharacteristic
144#10622565C2211yescharacteristic
145#10622565C2211yescharacteristic
146#10622565C2211yescharacteristic
147#10622565C2211yescharacteristic
148#10622565C2211yescharacteristic
149#10622564C2211yescharacteristic
150#10622564C2211yescharacteristic
151#10622563C2211yescharacteristic
152#10622563C2211yescharacteristic
153#10622562C2211yescharacteristic
154#10622562C2211yescharacteristic
155#10622561C2211yescharacteristic
156#10622561C2211yescharacteristic
157#10622561C2211yescharacteristic
158#10622560C2211yescharacteristic
159#10622559C2211yescharacteristic
160#10622559C2211yescharacteristic
161#10622559C2211yescharacteristic
162#10622559C2211yescharacteristic
163#10622559C2211yescharacteristic
164#10622558C2211yescharacteristic
165#10622558C2211yescharacteristic
166#10622558C2211yescharacteristic
167#10622558C2211yescharacteristic
168#10622557C2211yescharacteristic
169#10622556C2211yescharacteristic
170#10622555C2211yescharacteristic
171#10622555C2211yescharacteristic
172#10622555C2211yescharacteristic
173#10622555C2211yescharacteristic
174#10622555C2211yescharacteristic
175#10622553C2211yescharacteristic
176#10622553C2211yescharacteristic
177#10622553C2211yescharacteristic
178C4×C4⋊Dic11C2211yescharacteristic
179#10622546C2211yescharacteristic
180#10622546C2211yescharacteristic
181#10622546C2211yescharacteristic
182#10622546C2211yescharacteristic
183#10622546C2211yescharacteristic
184#10622545C2211yescharacteristic
185#10622541C2211yescharacteristic
186#10622541C2211yescharacteristic
187#10622541C2211yescharacteristic
188#10622541C2211yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×Dic22C2311yescharacteristic
207C11×C4⋊Q8—24no—
208C11×#126—24no—
209C11×#126—24no—
210C11×#124—24no—
211C11×#124—24no—
212C11×#124—24no—
213C11×#123—24no—
214C11×#123—24no—
215C11×C22⋊Q8—24no—
216C11×C22⋊Q8—24no—
217C11×C22⋊Q8—24no—
218C11×#121—24no—
219C4×Q8×C11—24no—
220C4×D4×C11D418yescomplemented
221C11×#117—24no—
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265#66999—42no—
266#66997—42no—
267#66992—24no—
268#66992—42no—
269#66988—24no—
270#66988—42no—
271#66982—24no—
272C4×C22⋊D11—24no—
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×(C2×D11)⋊C4C2311yescharacteristic
284#66979—42no—
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292#66977—24no—
293C2×Dic11⋊C4—24no—
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×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×C4×Dic11—42no—
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331#66949—24no—
332#66942—24no—
333#66939—24no—
334#66936—24no—
335#66932—24no—
336#66931—24no—
337#66929—24no—
338#66923—24no—
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
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379#36743—111nomaximal, Sylow
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C24×C11C2411yescharacteristic
383C23×D11C2411yescharacteristic
384C2×Q8×C11—22no—
385C2×Q8×C11—22no—
386C2×Q8×C11—22no—
387C2×Q8×C11—41no—
388C2×Q8×C11—41no—
389C2×Q8×C11—41no—
390C2×Q8×C11—41no—
391C2×Q8×C11—41no—
392C2×Q8×C11—41no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—41no—
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C2×D4×C11—41no—
400C2×D4×C11—41no—
401C2×D4×C11C2×D414yes—
402C22×C4×C11—22no—
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×C11C2×D414yes—
410C22×C4×C11C2×D414yes—
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—22no—
436C22×Dic11—22no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11—41no—
442C22×Dic11—41no—
443C22×Dic11—41no—
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C2×C4×D11—22no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×Dic22—22no—
463C2×Dic22—41no—
464C2×Dic22—41no—
465C11×C4⋊C4—22no—
466C11×C4⋊C4—22no—
467C11×C4⋊C4—22no—
468C11×C4⋊C4—22no—
469C11×C4⋊C4—22no—
470C11×C4⋊C4—22no—
471C11×C4⋊C4—22no—
472C11×C4⋊C4—22no—
473C11×C4⋊C4—22no—
474C11×C4⋊C4C2×D414yes—
475C11×C22⋊C4—22no—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—22no—
481C11×C22⋊C4—22no—
482C11×C22⋊C4—22no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—22no—
485C11×C22⋊C4C2×D414yes—
486C11×C22⋊C4C2×D414yes—
487C42×C11—22no—
488C42×C11—22no—
489C42×C11—22no—
490C42×C11C2×D414yes—
491C22⋊Dic11—22no—
492C22⋊Dic11—22no—
493C22⋊Dic11—22no—
494C22⋊Dic11—22no—
495C22⋊Dic11—22no—
496C22⋊Dic11—22no—
497C22⋊Dic11—22no—
498C22⋊Dic11—22no—
499C22⋊Dic11—22no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
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—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519C4⋊Dic11—22no—
520C4⋊Dic11—22no—
521C4⋊Dic11—22no—
522C4⋊Dic11—22no—
523C4⋊Dic11—22no—
524C4⋊Dic11—22no—
525C4⋊Dic11—41no—
526Dic11⋊C4—22no—
527Dic11⋊C4—22no—
528Dic11⋊C4—22no—
529Dic11⋊C4—22no—
530Dic11⋊C4—22no—
531Dic11⋊C4—22no—
532Dic11⋊C4—22no—
533Dic11⋊C4—22no—
534Dic11⋊C4—22no—
535Dic11⋊C4—22no—
536Dic11⋊C4—22no—
537Dic11⋊C4—22no—
538Dic11⋊C4—22no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—22no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C2×#542D1111yescharacteristic, complemented
563C2×#539—111no—
564#2857—111no—
565#2854—111no—
566#2722—111no—
567#2720—111no—
568#2718—111no—
569#2717—111no—
570#2715—111no—
571#2713—111no—
572#2710—111no—
573#2708—111no—
574#2695—111no—
575#2692—111no—
576#2689—111no—
577#2686—111no—
578#2677—111no—
579#2674—111no—
580#2672—111no—
581#2671—111no—
582#2663—111no—
583#2663—111no—
584#2611—111no—
585#2604—111no—
586#2602—111no—
587#2601—111no—
588#2584—111no—
589#2583—111no—
590#2415—111no—
591#2413—111no—
592#2290—111no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11C22×D412yes—
613C23×C11C22×D412yes—
614C23×C11C2511yescharacteristic
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622Q8×C11—44no—
623Q8×C11—82no—
624Q8×C11—82no—
625D4×C11—44no—
626D4×C11—82no—
627D4×C11—82no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
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—44no—
660C2×C4×C11—44no—
661C2×C4×C11—44no—
662C2×C4×C11C22×D412yes—
663C2×C4×C11C22×D412yes—
664C2×C4×C11C22×D412yes—
665C2×C4×C11C22×D412yes—
666C2×C4×C11C22×D412yes—
667C22⋊D11—44no—
668C22⋊D11—82no—
669C22⋊D11—82no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
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—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—44no—
713C2×Dic11—44no—
714C2×Dic11—44no—
715C2×Dic11—82no—
716C2×Dic11H(5,𝔽2)12yes—
717C2×Dic112−1+412yes—
718C2×Dic112−1+412yes—
719C4×D11—82no—
720Dic22—82no—
721#542—28no—
722#539—228no—
723C2×C4⋊Q8—111no—
724C2×C4⋊Q8C2×D1111yescharacteristic
725C2×#126—111no—
726C2×#126—111no—
727C2×#126C2×D1111yescharacteristic
728C2×#126C2×D1111yescharacteristic
729C2×#125—111no—
730C2×#125—111no—
731C2×#124C2×D1111yescharacteristic
732C2×#124C2×D1111yescharacteristic
733C2×#124C2×D1111yescharacteristic
734C2×#123—111no—
735C2×#123—111no—
736C2×#123—111no—
737C2×#123—111no—
738C2×#123—111no—
739C2×#123C2×D1111yescharacteristic
740C2×#123C2×D1111yescharacteristic
741C2×C22⋊Q8—111no—
742C2×C22⋊Q8—111no—
743C2×C22⋊Q8—111no—
744C2×C22⋊Q8—111no—
745C2×C22⋊Q8C2×D1111yescharacteristic
746C2×C22⋊Q8C2×D1111yescharacteristic
747C2×C22⋊Q8C2×D1111yescharacteristic
748C2×#121—111no—
749C2×#121—111no—
750C2×#121C2×D1111yescharacteristic
751C2×C4×Q8C2×D1111yescharacteristic
752C2×C4×D4—111no—
753C2×C4×D4C2×D1111yescharacteristic
754C2×#117—111no—
755C2×#117C2×D1111yescharacteristic
756C22×C4⋊C4—111no—
757C22×C42—111no—
758#400—111no—
759#400—111no—
760#400—111no—
761#400—111no—
762#399—111no—
763#399—111no—
764#399—111no—
765#399—111no—
766#398—111no—
767#398—111no—
768#398—111no—
769#398—111no—
770#398—111no—
771#398—111no—
772#398—111no—
773#398—111no—
774#397—111no—
775#397—111no—
776#397—111no—
777#397—111no—
778#397—111no—
779#397—111no—
780#397—111no—
781#397—111no—
782#396—111no—
783#396—111no—
784#396—111no—
785#396—111no—
786#395—111no—
787#395—111no—
788#395—111no—
789#395—111no—
790#395—111no—
791#395—111no—
792#395—111no—
793#394—111no—
794#394—111no—
795#394—111no—
796#394—111no—
797#394—111no—
798#394—111no—
799#394—111no—
800#394—111no—
801#394—111no—
802#393—111no—
803#393—111no—
804#393—111no—
805#392—111no—
806#391—111no—
807#391—111no—
808#391—111no—
809#390—111no—
810#390—111no—
811#389—111no—
812#389—111no—
813#389—111no—
814#389—111no—
815#389—111no—
816#389—111no—
817#389—111no—
818#389—111no—
819#389—111no—
820#389—111no—
821#389—111no—
822#389—111no—
823#389—111no—
824#389—111no—
825#389—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#387—111no—
841#387—111no—
842#387—111no—
843#387—111no—
844#387—111no—
845#387—111no—
846#387—111no—
847#387—111no—
848#386—111no—
849#386—111no—
850#386—111no—
851#386—111no—
852#386—111no—
853#386—111no—
854#386—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#385—111no—
859#385—111no—
860#385—111no—
861#385—111no—
862#385—111no—
863#385—111no—
864#385—111no—
865#385—111no—
866#384—111no—
867#381—111no—
868#380—111no—
869#380—111no—
870#380—111no—
871#380—111no—
872#380—111no—
873#380—111no—
874C4×C4⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877#376—111no—
878C22×C11—22no—
879C22×C11—22no—
880C22×C11—22no—
881C22×C11—22no—
882C22×C11—22no—
883C22×C11—22no—
884C22×C11—41no—
885C22×C11—41no—
886C22×C11—41no—
887C22×C11—41no—
888C22×C11—41no—
889C22×C11—41no—
890C22×C11—41no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11C23×D411yescharacteristic
900C22×C11C2×H(5,𝔽2)11yescharacteristic
901C22×C11C2×2−1+411yescharacteristic
902C22×C11C2×2−1+411yescharacteristic
903C22×C11#58511yescharacteristic
904C22×C11#58511yescharacteristic
905C22×C11#58511yescharacteristic
906C2×D11—41no—
907C2×D11—41no—
908C2×D11—41no—
909C2×D11—41no—
910C2×D11—41no—
911C2×D11—41no—
912C2×D11—41no—
913C4×C11—22no—
914C4×C11—22no—
915C4×C11—22no—
916C4×C11—22no—
917C4×C11—22no—
918C4×C11—41no—
919C4×C11—41no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925Dic11—22no—
926Dic11—22no—
927Dic11—22no—
928Dic11—41no—
929Dic11—41no—
930Dic11—41no—
931Dic11—41no—
932Dic11—41no—
933Dic11—41no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937Dic11—41no—
938Dic11—41no—
939Dic11—41no—
940C22×Q8—111no—
941C22×Q8C22×D1111yescharacteristic
942C22×Q8C22×D1111yescharacteristic
943C22×Q8C22×D1111yescharacteristic
944C22×D4—111no—
945C22×D4—111no—
946C22×D4—111no—
947C22×D4C22×D1111yescharacteristic
948C22×D4C22×D1111yescharacteristic
949C22×D4C22×D1111yescharacteristic
950C23×C4—111no—
951C23×C4—111no—
952C23×C4—111no—
953C23×C4—111no—
954C23×C4—111no—
955C23×C4C22×D1111yescharacteristic
956C23×C4C22×D1111yescharacteristic
957C23×C4C22×D1111yescharacteristic
958C4⋊Q8—24no—
959C4⋊Q8—442no—
960#126—24no—
961#126—24no—
962#126—224no—
963#126—224no—
964#125—224no—
965#125—224no—
966#124—24no—
967#124—24no—
968#124—24no—
969#123—24no—
970#123—24no—
971#123—224no—
972#123—224no—
973#123—224no—
974#123—224no—
975#123—442no—
976C22⋊Q8—24no—
977C22⋊Q8—24no—
978C22⋊Q8—24no—
979C22⋊Q8—224no—
980C22⋊Q8—224no—
981C22⋊Q8—224no—
982C22⋊Q8—442no—
983#121—24no—
984#121—224no—
985#121—442no—
986C4×Q8—24no—
987C4×D4—224no—
988C4×D4C22⋊D1118yescomplemented
989#117—24no—
990#117—442no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
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⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—224no—
1028C2×C4⋊C4C22×D1111yescharacteristic
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C4⋊C4C22×D1111yescharacteristic
1035C2×C4⋊C4C22×D1111yescharacteristic
1036C2×C4⋊C4C22×D1111yescharacteristic
1037C2×C4⋊C4C22×D1111yescharacteristic
1038C2×C22⋊C4—111no—
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—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4C22×D1111yescharacteristic
1067C2×C22⋊C4C22×D1111yescharacteristic
1068C2×C22⋊C4C22×D1111yescharacteristic
1069C2×C22⋊C4C22×D1111yescharacteristic
1070C2×C22⋊C4C22×D1111yescharacteristic
1071C2×C22⋊C4C22×D1111yescharacteristic
1072C2×C22⋊C4C22×D1111yescharacteristic
1073C2×C22⋊C4C22×D1111yescharacteristic
1074C2×C22⋊C4C22×D1111yescharacteristic
1075C2×C22⋊C4C22×D1111yescharacteristic
1076C2×C22⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4C22×D1111yescharacteristic
1078C2×C42—111no—
1079C2×C42—111no—
1080C2×C42—111no—
1081C2×C42—111no—
1082C2×C42—111no—
1083C2×C42—111no—
1084C2×C42—111no—
1085C2×C42—442no—
1086C2×C42C22×D1111yescharacteristic
1087C2×C42C22×D1111yescharacteristic
1088C2×C42C22×D1111yescharacteristic
1089C2×C42C22×D1111yescharacteristic
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
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—
1130C2×C11—42no—
1131C2×C11—42no—
1132C2×C11—81no—
1133C2×C11#344911yescharacteristic
1134C2×C11#349611yescharacteristic
1135C2×C11#349911yescharacteristic
1136C2×C11#353511yescharacteristic
1137C2×C11#354111yescharacteristic
1138C2×C11#355711yescharacteristic
1139C2×C11#356511yescharacteristic
1140D11—81no—
1141C24—111no—
1142C24C23×D1111yescharacteristic
1143C24C23×D1111yescharacteristic
1144C24C23×D1111yescharacteristic
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—41no—
1149C2×Q8—41no—
1150C2×Q8—41no—
1151C2×Q8—41no—
1152C2×Q8—41no—
1153C2×Q8—41no—
1154C2×Q8—222no—
1155C2×Q8—441no—
1156C2×Q8—441no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—222no—
1166C2×D4—222no—
1167C2×D4—222no—
1168C2×D4—441no—
1169C2×D4—441no—
1170C2×D4—441no—
1171C2×D4—441no—
1172C2×D4—441no—
1173C2×D4—441no—
1174C2×D4C2×C22⋊D1114yes—
1175C22×C4—22no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
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—111no—
1191C22×C4—111no—
1192C22×C4—111no—
1193C22×C4—111no—
1194C22×C4—111no—
1195C22×C4—111no—
1196C22×C4—111no—
1197C22×C4—222no—
1198C22×C4—222no—
1199C22×C4—222no—
1200C22×C4—222no—
1201C22×C4—222no—
1202C22×C4—222no—
1203C22×C4—441no—
1204C22×C4—441no—
1205C22×C4—441no—
1206C22×C4—441no—
1207C22×C4—441no—
1208C22×C4—441no—
1209C22×C4—441no—
1210C22×C4—441no—
1211C22×C4—441no—
1212C22×C4C2×C22⋊D1114yes—
1213C22×C4C2×C22⋊D1114yes—
1214C22×C4C23×D1111yescharacteristic
1215C22×C4C23×D1111yescharacteristic
1216C22×C4C23×D1111yescharacteristic
1217C22×C4C23×D1111yescharacteristic
1218C22×C4C23×D1111yescharacteristic
1219C22×C4C23×D1111yescharacteristic
1220C22×C4C23×D1111yescharacteristic
1221C22×C4C23×D1111yescharacteristic
1222C22×C4C23×D1111yescharacteristic
1223C22×C4C23×D1111yescharacteristic
1224C22×C4C23×D1111yescharacteristic
1225C22×C4C23×D1111yescharacteristic
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—222no—
1236C4⋊C4—222no—
1237C4⋊C4—222no—
1238C4⋊C4—222no—
1239C4⋊C4—222no—
1240C4⋊C4—222no—
1241C4⋊C4—222no—
1242C4⋊C4—222no—
1243C4⋊C4—222no—
1244C4⋊C4—222no—
1245C4⋊C4—222no—
1246C4⋊C4—222no—
1247C4⋊C4—222no—
1248C4⋊C4—222no—
1249C4⋊C4—222no—
1250C4⋊C4—222no—
1251C4⋊C4—222no—
1252C4⋊C4—222no—
1253C4⋊C4—222no—
1254C4⋊C4—441no—
1255C4⋊C4—441no—
1256C4⋊C4—441no—
1257C4⋊C4—441no—
1258C4⋊C4—441no—
1259C4⋊C4—441no—
1260C4⋊C4—441no—
1261C4⋊C4—441no—
1262C4⋊C4—441no—
1263C4⋊C4—441no—
1264C4⋊C4—441no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C4⋊C4—441no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4C2×C22⋊D1114yes—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—222no—
1283C22⋊C4—222no—
1284C22⋊C4—222no—
1285C22⋊C4—222no—
1286C22⋊C4—222no—
1287C22⋊C4—222no—
1288C22⋊C4—222no—
1289C22⋊C4—222no—
1290C22⋊C4—222no—
1291C22⋊C4—222no—
1292C22⋊C4—222no—
1293C22⋊C4—222no—
1294C22⋊C4—222no—
1295C22⋊C4—222no—
1296C22⋊C4—222no—
1297C22⋊C4—441no—
1298C22⋊C4—441no—
1299C22⋊C4—441no—
1300C22⋊C4—441no—
1301C22⋊C4—441no—
1302C22⋊C4—441no—
1303C22⋊C4—441no—
1304C22⋊C4—441no—
1305C22⋊C4—441no—
1306C22⋊C4—441no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4C2×C22⋊D1114yes—
1311C22⋊C4C2×C22⋊D1114yes—
1312C42—22no—
1313C42—22no—
1314C42—22no—
1315C42—222no—
1316C42—222no—
1317C42—222no—
1318C42—441no—
1319C42—441no—
1320C42—441no—
1321C42—441no—
1322C42C2×C22⋊D1114yes—
1323C11#3674311yescharacteristic, complemented, Sylow
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—221no—
1344C23—221no—
1345C23—221no—
1346C23—221no—
1347C23—221no—
1348C23—221no—
1349C23—221no—
1350C23C22×C22⋊D1112yes—
1351C23C22×C22⋊D1112yes—
1352C23C24×D1111yescharacteristic
1353Q8—44no—
1354Q8—82no—
1355Q8—82no—
1356Q8—882no—
1357D4—44no—
1358D4—82no—
1359D4—82no—
1360D4—444no—
1361D4—882no—
1362D4—882no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—44no—
1395C2×C4—44no—
1396C2×C4—44no—
1397C2×C4—112no—
1398C2×C4—112no—
1399C2×C4—112no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
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—444no—
1443C2×C4—444no—
1444C2×C4—444no—
1445C2×C4—882no—
1446C2×C4—882no—
1447C2×C4C22×C22⋊D1112yes—
1448C2×C4C22×C22⋊D1112yes—
1449C2×C4C22×C22⋊D1112yes—
1450C2×C4C22×C22⋊D1112yes—
1451C2×C4C22×C22⋊D1112yes—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—441no—
1474C22—441no—
1475C22—441no—
1476C22—441no—
1477C22—441no—
1478C22—441no—
1479C22—441no—
1480C22#1062345311yescharacteristic
1481C22#1062345311yescharacteristic
1482C22D11×H(5,𝔽2)11yescharacteristic
1483C22#1062345511yescharacteristic
1484C22D11×2−1+411yescharacteristic
1485C22D11×2−1+411yescharacteristic
1486C22C23×C22⋊D1111yescharacteristic
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—222no—
1500C4—222no—
1501C4—222no—
1502C4—441no—
1503C4—441no—
1504C4—441no—
1505C4—441no—
1506C4—441no—
1507C4—441no—
1508C4—441no—
1509C4—441no—
1510C4—441no—
1511C4—441no—
1512C4—441no—
1513C4—441no—
1514C2—42no—
1515C2—42no—
1516C2—81no—
1517C2—881no—
1518C2#1308194511yescharacteristic
1519C2#1308237511yescharacteristic
1520C2#1308239711yescharacteristic
1521C2#1308281811yescharacteristic
1522C2#1308290011yescharacteristic
1523C2#1308311411yescharacteristic
1524C2#1308325211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC2×C11×#542C2
prime radical#13074846C2
hypercenterC2×#542D11
hypocenterC11#36743
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. C2×#10623095C2semidirect
2. #13076964C2semidirect
3. #13076945C2semidirect
4. #13075520C2semidirect
5. #13075490C2semidirect
6. #13075460C2semidirect
7. #13075451C2semidirect
8. #13075421C2semidirect
9. #13075391C2semidirect
10. #13075352C2semidirect
11. #13075328C2semidirect
12. #13075145C2semidirect
13. #13075106C2semidirect
14. #13075061C2semidirect
15. #13075016C2semidirect
16. #13074926C2semidirect
17. #13074891C2semidirect
18. #13074862C2semidirect
20. #13074767C2semidirect
21. #13074766C2semidirect
22. #13074314C2semidirect
23. #13074248C2semidirect
24. #13074230C2semidirect
25. #13074213C2semidirect
26. #13074004C2semidirect
27. #13073997C2semidirect
28. #13072046C2semidirect
29. #13072024C2semidirect
30. #13071061C2semidirect
31. C2×C11×#542C2semidirect
220. C4×D4×C11D4semidirect
562. C2×#542D11semidirect
988. C4×D4C22⋊D11semidirect
1323. C11#36743semidirect

Maximal subgroups

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

subgroupindex
C2×#106230952
#130769642
#130769452
#130755202
#130754902
#130754602
#130754512
#130754212
#130753912
#130753522
#130753282
#130751452
#130751062
#130750612
#130750162
#130749262
#130748912
#130748622
#130748462
#130747672
#130747662
#130743142
#130742482
#130742302
#130742132
#130740042
#130739972
#130720462
#130720242
#130710612
C2×C11×#5422
#3674311