Finite Group Databasebeta

← #14962581

Subgroups — #14962581

Order 2816.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076908C211yesmaximal, characteristic, complemented
2#13076559C211yesmaximal, characteristic, complemented
3#13076469C211yesmaximal, characteristic, complemented
4#13076358C211yesmaximal, characteristic, complemented
5#13076313C211yesmaximal, characteristic, complemented
6#13076261C211yesmaximal, characteristic, complemented
7#13076237C211yesmaximal, characteristic, complemented
8#13075869C211yesmaximal, characteristic, complemented
9#13075854C211yesmaximal, characteristic, complemented
10#13075781C211yesmaximal, characteristic, complemented
11#13075406C211yesmaximal, characteristic, complemented
12#13075358C211yesmaximal, characteristic, complemented
13#13075334C211yesmaximal, characteristic, complemented
14#13075328C211yesmaximal, characteristic, complemented
15#13075151C211yesmaximal, characteristic, complemented
16#13075018C211yesmaximal, characteristic, complemented
17#13074977C211yesmaximal, characteristic, complemented
18#13074571C211yesmaximal, characteristic, complemented
19#13074546C211yesmaximal, characteristic, complemented
20#13072884C211yesmaximal, characteristic, complemented
21#13072741C211yesmaximal, characteristic, complemented
22#13072347C211yesmaximal, characteristic, complemented
23#13072298C211yesmaximal, characteristic, complemented
24#13072222C211yesmaximal, characteristic, complemented
25#13072156C211yesmaximal, characteristic, complemented
26#13071997C211yesmaximal, characteristic, complemented
27#13071932C211yesmaximal, characteristic, complemented
28#13071290C211yesmaximal, characteristic, complemented
29#13071203C211yesmaximal, characteristic, complemented
30C2×#10622823C211yesmaximal, characteristic, complemented
31C11×#2847C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×C11×#121C2211yescharacteristic
37C2×C11×#120C2211yescharacteristic
38C2×C11×#120C2211yescharacteristic
39C2×#67006C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C22×C22⋊Dic11C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66989C2211yescharacteristic
45C2×#66988C2211yescharacteristic
46C2×#66988C2211yescharacteristic, complemented
47C2×D4×Dic11C2211yescharacteristic
48C2×#66982C2211yescharacteristic
49C2×#66982C2211yescharacteristic
50C22×Dic11⋊C4C2211yescharacteristic
51C22×Dic11⋊C4C2211yescharacteristic
52C2×#66951C2211yescharacteristic, complemented
53C2×#66931C2211yescharacteristic
54C2×#66930C2211yescharacteristic
55C11×#386C2211yescharacteristic
56C11×#386C2211yescharacteristic
57C11×#386C2211yescharacteristic
58C11×#386C2211yescharacteristic
59C11×#386C2211yescharacteristic
60C11×#386C2211yescharacteristic
61C11×#380C2211yescharacteristic
62C11×#380C2211yescharacteristic
63C11×#380C2211yescharacteristic
64#10622860C2211yescharacteristic
65#10622836C2211yescharacteristic
66#10622836C2211yescharacteristic
67#10622836C2211yescharacteristic
68#10622836C2211yescharacteristic, complemented
69#10622835C2211yescharacteristic
70#10622835C2211yescharacteristic
71#10622835C2211yescharacteristic
72#10622835C2211yescharacteristic
73#10622835C2211yescharacteristic
74#10622835C2211yescharacteristic, complemented
75#10622834C2211yescharacteristic
76#10622834C2211yescharacteristic
77#10622834C2211yescharacteristic
78#10622833C2211yescharacteristic
79#10622833C2211yescharacteristic
80#10622833C2211yescharacteristic
81#10622833C2211yescharacteristic
82#10622833C2211yescharacteristic
83#10622833C2211yescharacteristic
84#10622833C2211yescharacteristic
85#10622833C2211yescharacteristic, complemented
86#10622826C2211yescharacteristic
87#10622826C2211yescharacteristic
88#10622826C2211yescharacteristic
89#10622826C2211yescharacteristic
90#10622824C2211yescharacteristic
91#10622824C2211yescharacteristic
92#10622823C2211yescharacteristic
93#10622823C2211yescharacteristic
94#10622823C2211yescharacteristic
95#10622823C2211yescharacteristic
96#10622823C2211yescharacteristic
97#10622823C2211yescharacteristic
98#10622823C2211yescharacteristic
99#10622823C2211yescharacteristic
100#10622823C2211yescharacteristic
101#10622823C2211yescharacteristic
102#10622823C2211yescharacteristic
103#10622823C2211yescharacteristic
104C2×C11⋊#95C2211yescharacteristic
105C2×C11⋊#95C2211yescharacteristic
106#10622607C2211yescharacteristic, complemented
107#10622602C2211yescharacteristic, complemented
108#10622596C2211yescharacteristic, complemented
109#10622595C2211yescharacteristic, complemented
110#10622594C2211yescharacteristic, complemented
111#10622593C2211yescharacteristic, complemented
112#10622592C2211yescharacteristic, complemented
113#10622592C2211yescharacteristic, complemented
114#10622591C2211yescharacteristic, complemented
115#10622591C2211yescharacteristic, complemented
116#10622585C2211yescharacteristic, complemented
117#10622574C2211yescharacteristic
118#10622574C2211yescharacteristic, complemented
119#10622572C2211yescharacteristic, complemented
120#10622572C2211yescharacteristic, complemented
121#10622571C2211yescharacteristic
122#10622571C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622570C2211yescharacteristic, complemented
125#10622570C2211yescharacteristic, complemented
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic, complemented
129#10622566C2211yescharacteristic
130#10622566C2211yescharacteristic, complemented
131#10622565C2211yescharacteristic, complemented
132#10622565C2211yescharacteristic, complemented
133#10622565C2211yescharacteristic, complemented
134#10622565C2211yescharacteristic, complemented
135#10622563C2211yescharacteristic
136#10622562C2211yescharacteristic, complemented
137#10622561C2211yescharacteristic
138#10622561C2211yescharacteristic
139#10622561C2211yescharacteristic
140#10622561C2211yescharacteristic, complemented
141#10622560C2211yescharacteristic
142#10622560C2211yescharacteristic
143#10622560C2211yescharacteristic
144#10622560C2211yescharacteristic, complemented
145#10622560C2211yescharacteristic, complemented
146#10622559C2211yescharacteristic
147#10622559C2211yescharacteristic, complemented
148#10622559C2211yescharacteristic, complemented
149#10622559C2211yescharacteristic, complemented
150#10622559C2211yescharacteristic, complemented
151#10622558C2211yescharacteristic
152#10622558C2211yescharacteristic
153#10622558C2211yescharacteristic
154#10622557C2211yescharacteristic
155#10622557C2211yescharacteristic
156#10622557C2211yescharacteristic, complemented
157#10622557C2211yescharacteristic, complemented
158#10622557C2211yescharacteristic, complemented
159#10622556C2211yescharacteristic
160#10622555C2211yescharacteristic, complemented
161#10622555C2211yescharacteristic, complemented
162C22⋊C4×Dic11C2211yescharacteristic
163#10622288C2211yescharacteristic, complemented
164#10622288C2211yescharacteristic, complemented
165#10622286C2211yescharacteristic, complemented
166#10622282C2211yescharacteristic, complemented
167#10622280C2211yescharacteristic, complemented
168#10622280C2211yescharacteristic, complemented
169C11⋊#401C2211yescharacteristic, complemented
170#10622273C2211yescharacteristic, complemented
171#10622273C2211yescharacteristic, complemented
172#10622273C2211yescharacteristic, complemented
173#10622272C2211yescharacteristic, complemented
174#10622271C2211yescharacteristic, complemented
175#10622271C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622267C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C23×C4×C11—42no—
196C23×C4×C11—42no—
197C23×C4×C11—42no—
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C2×#4341—24no—
216C2×#4341—42no—
217C2×#4341—42no—
218C22×C4×D11C2311yescharacteristic
219C22×Dic22C2311yescharacteristic
220C22×Dic22C2311yescharacteristic
221C11×#121—42no—
222C11×#121—42no—
223C11×#121—42no—
224C11×#120—42no—
225C11×#120—42no—
226C2×C11×C4⋊C4C2311yescharacteristic
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×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241#67006—42no—
242C2×C22⋊Dic11—24no—
243C2×C22⋊Dic11—42no—
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
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
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273#66992—42no—
274#66992—42no—
275#66989—42no—
276#66988—24no—
277#66988—42no—
278D4×Dic11—42no—
279#66982—42no—
280#66982—42no—
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×Dic11⋊C4—42no—
295C2×Dic11⋊C4—42no—
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×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322#66951—42no—
323#66931—42no—
324#66930—42no—
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#36791—111nomaximal, Sylow
370C24×C11—22no—
371C24×C11—22no—
372C24×C11—22no—
373C24×C11—22no—
374C24×C11—22no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C2×D4×C11—22no—
384C2×D4×C11—22no—
385C2×D4×C11—22no—
386C2×D4×C11—22no—
387C2×D4×C11—22no—
388C2×D4×C11—22no—
389C2×D4×C11—22no—
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—22no—
394C2×D4×C11—41no—
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×C11—41no—
402C2×D4×C11—41no—
403C2×D4×C11—41no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11—41no—
422C22×C4×C11—416no—
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C22×Dic11—22no—
449C22×Dic11—22no—
450C22×Dic11—22no—
451C22×Dic11—22no—
452C22×Dic11—22no—
453C22×Dic11—22no—
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×Dic11—41no—
463C22×Dic11—41no—
464C22×Dic11—41no—
465C22×Dic11#4114yes—
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481#4341—416no—
482C2×C4×D11—22no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×Dic22—22no—
486C2×Dic22—41no—
487C2×Dic22—41no—
488C2×Dic22—41no—
489C2×Dic22—41no—
490C2×Dic22—41no—
491C11×C4⋊C4—22no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4—41no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—41no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C22⋊Dic11—22no—
507C22⋊Dic11—22no—
508C22⋊Dic11—22no—
509C22⋊Dic11—22no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—22no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521C22⋊Dic11—41no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
528C22⋊Dic11—41no—
529C22⋊Dic11—41no—
530C22⋊Dic11—41no—
531C22⋊Dic11—41no—
532C22⋊Dic11—41no—
533C22⋊Dic11—41no—
534C22⋊Dic11—41no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544C4⋊Dic11—41no—
545C4⋊Dic11—41no—
546C4⋊Dic11—41no—
547C4⋊Dic11—41no—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—22no—
552Dic11⋊C4—22no—
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⋊C4—41no—
562Dic11⋊C4—41no—
563Dic11⋊C4—41no—
564Dic11⋊C4—41no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574#2849—111no—
575#2847D1111yescharacteristic, complemented
576#2804—111no—
577#2797—111no—
578#2788—111no—
579#2784—111no—
580#2780—111no—
581#2778—111no—
582#2751—111no—
583#2750—111no—
584#2745—111no—
585#2714—111no—
586#2710—111no—
587#2708—111no—
588#2708—111no—
589#2695—111no—
590#2686—111no—
591#2682—111no—
592#2643—111no—
593#2639—111no—
594#2481—111no—
595#2472—111no—
596#2443—111no—
597#2438—111no—
598#2430—111no—
599#2424—111no—
600#2411—111no—
601#2404—111no—
602#2322—111no—
603#2311—111no—
604C2×#385—111no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—28no—
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×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—44no—
637C23×C11—44no—
638C23×C11—44no—
639C23×C11—44no—
640C23×C11—44no—
641C23×C11—44no—
642C23×C11C2×#4112yes—
643C23×C11H(5,𝔽2)12yes—
644C23×C11H(5,𝔽2)12yes—
645C23×C11H(5,𝔽2)12yes—
646C23×C112−1+412yes—
647C23×C11C2511yescharacteristic
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655D4×C11—44no—
656D4×C11—44no—
657D4×C11—82no—
658D4×C11—82no—
659D4×C11—82no—
660D4×C11—82no—
661D4×C11—82no—
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—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—44no—
692C2×C4×C11—44no—
693C2×C4×C11—44no—
694C2×C4×C11—44no—
695C2×C4×C11—44no—
696C2×C4×C11—44no—
697C2×C4×C11H(5,𝔽2)12yes—
698C22⋊D11—44no—
699C22⋊D11—44no—
700C22⋊D11—82no—
701C22⋊D11—82no—
702C22⋊D11—82no—
703C2×Dic11—28no—
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—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—44no—
748C2×Dic11—44no—
749C2×Dic11—82no—
750C2×Dic11—82no—
751C2×Dic11—82no—
752C2×Dic11C2×#4112yes—
753C2×Dic11C2×#4112yes—
754C4×D11—44no—
755Dic22—44no—
756Dic22—82no—
757C22×#41—111no—
758C24×C4C2×D1111yescharacteristic
759C2×#126—111no—
760C2×#124—111no—
761C2×#123—111no—
762C2×#123—111no—
763C2×#123—111no—
764C2×#123—111no—
765C2×C22⋊Q8—111no—
766C2×#121—111no—
767C2×#121—111no—
768C2×#121C2×D1111yescharacteristic
769C2×#121C2×D1111yescharacteristic
770C2×#121C2×D1111yescharacteristic
771C2×#120—111no—
772C2×#120C2×D1111yescharacteristic
773C2×#120C2×D1111yescharacteristic
774C2×C4×D4—111no—
775C2×#117—111no—
776C22×C4⋊C4—111no—
777C22×C4⋊C4—111no—
778C22×C22⋊C4—111no—
779C22×C22⋊C4—111no—
780#401—111no—
781#400—111no—
782#400—111no—
783#400—111no—
784#400—111no—
785#400—111no—
786#400—111no—
787#400—111no—
788#400—111no—
789#399—111no—
790#398—111no—
791#398—111no—
792#398—111no—
793#397—111no—
794#397—111no—
795#397—111no—
796#397—111no—
797#397—111no—
798#397—111no—
799#397—111no—
800#397—111no—
801#396—111no—
802#396—111no—
803#396—111no—
804#396—111no—
805#396—111no—
806#395—111no—
807#395—111no—
808#394—111no—
809#394—111no—
810#394—111no—
811#394—111no—
812#394—111no—
813#394—111no—
814#394—111no—
815#394—111no—
816#394—111no—
817#394—111no—
818#393—111no—
819#393—111no—
820#393—111no—
821#393—111no—
822#393—111no—
823#393—111no—
824#392—111no—
825#392—111no—
826#392—111no—
827#392—111no—
828#391—111no—
829#391—111no—
830#391—111no—
831#390—111no—
832#390—111no—
833#390—111no—
834#390—111no—
835#390—111no—
836#390—111no—
837#389—111no—
838#389—111no—
839#389—111no—
840#388—111no—
841#388—111no—
842#388—111no—
843#388—111no—
844#388—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#387—111no—
850#387—111no—
851#387—111no—
852#387—111no—
853#387—111no—
854#387—111no—
855#387—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386—111no—
863#386—111no—
864#386—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#386C2×D1111yescharacteristic
874#386C2×D1111yescharacteristic
875#386C2×D1111yescharacteristic
876#386C2×D1111yescharacteristic
877#386C2×D1111yescharacteristic
878#386C2×D1111yescharacteristic
879#385—111no—
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385—111no—
886#385—111no—
887#385—111no—
888#385—111no—
889#385—111no—
890#385—111no—
891#385—111no—
892#385—111no—
893#385—111no—
894#385—111no—
895#385—111no—
896#385—111no—
897#385—111no—
898#381—111no—
899#381—111no—
900#381—111no—
901#380—111no—
902#380—111no—
903#380—111no—
904#380—111no—
905#380C2×D1111yescharacteristic
906#380C2×D1111yescharacteristic
907#380C2×D1111yescharacteristic
908#379—111no—
909C4×C22⋊C4—111no—
910C2×#95—111no—
911C2×#95—111no—
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—22no—
924C22×C11—416no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11#53814yes—
948C22×C11C22×#4111yescharacteristic
949C22×C11C2×H(5,𝔽2)11yescharacteristic
950C22×C11C2×H(5,𝔽2)11yescharacteristic
951C22×C11C2×H(5,𝔽2)11yescharacteristic
952C22×C11C2×H(5,𝔽2)11yescharacteristic
953C22×C11C2×2−1+411yescharacteristic
954C22×C11#58511yescharacteristic
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C4×C11—22no—
963C4×C11—41no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972Dic11—22no—
973Dic11—22no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987C25C22×D1111yescharacteristic
988C2×#41—224no—
989C2×#41—442no—
990C2×#41—442no—
991C22×Q8—111no—
992C22×Q8—111no—
993C22×D4—111no—
994C22×D4—111no—
995C22×D4—111no—
996C22×D4—111no—
997C22×D4—111no—
998C22×D4C22×D1111yescharacteristic
999C22×D4C22×D1111yescharacteristic
1000C22×D4C22×D1111yescharacteristic
1001C22×D4C22×D1111yescharacteristic
1002C22×D4C22×D1111yescharacteristic
1003C22×D4C22×D1111yescharacteristic
1004C22×D4C22×D1111yescharacteristic
1005C23×C4—42no—
1006C23×C4—42no—
1007C23×C4—42no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4C22×D1111yescharacteristic
1016C23×C4C22×D1111yescharacteristic
1017C23×C4C22×D1111yescharacteristic
1018C23×C4C22×D1111yescharacteristic
1019C23×C4C22×D1111yescharacteristic
1020C23×C4C22×D1111yescharacteristic
1021#126—442no—
1022#124—442no—
1023#123—224no—
1024#123—442no—
1025#123—442no—
1026#123—442no—
1027C22⋊Q8—442no—
1028#121—42no—
1029#121—42no—
1030#121—42no—
1031#121—442no—
1032#121—442no—
1033#120—42no—
1034#120—42no—
1035#120—442no—
1036C4×D4—442no—
1037#117—442no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
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⋊C4—442no—
1065C2×C4⋊C4C22×D1111yescharacteristic
1066C2×C4⋊C4C22×D1111yescharacteristic
1067C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—224no—
1107C2×C22⋊C4—442no—
1108C2×C22⋊C4C22×D1111yescharacteristic
1109C2×C22⋊C4C22×D1111yescharacteristic
1110C2×C22⋊C4C22×D1111yescharacteristic
1111C2×C22⋊C4C22×D1111yescharacteristic
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4C22×D1111yescharacteristic
1117C2×C22⋊C4C22×D1111yescharacteristic
1118C2×C22⋊C4C22×D1111yescharacteristic
1119C2×C22⋊C4C22×D1111yescharacteristic
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—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#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167#95C22×D1111yescharacteristic
1168#95C22×D1111yescharacteristic
1169C2×C11—24no—
1170C2×C11—42no—
1171C2×C11—42no—
1172C2×C11—81no—
1173C2×C11—81no—
1174C2×C11C2×#53811yescharacteristic
1175C2×C11#349211yescharacteristic
1176C2×C11#350611yescharacteristic
1177C2×C11#353211yescharacteristic
1178C2×C11#353411yescharacteristic
1179C2×C11#353511yescharacteristic
1180C2×C11#353611yescharacteristic
1181D11—81no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—41no—
1188C24—41no—
1189C24—111no—
1190C24C23×D1111yescharacteristic
1191C24C23×D1111yescharacteristic
1192C24C23×D1111yescharacteristic
1193C24C23×D1111yescharacteristic
1194C24C23×D1111yescharacteristic
1195#41—4416no—
1196C2×Q8—222no—
1197C2×Q8—441no—
1198C2×Q8—441no—
1199C2×Q8—441no—
1200C2×Q8—441no—
1201C2×Q8—441no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—222no—
1224C2×D4—222no—
1225C2×D4—222no—
1226C2×D4—222no—
1227C2×D4—222no—
1228C2×D4—222no—
1229C2×D4—441no—
1230C2×D4—441no—
1231C2×D4—441no—
1232C2×D4—441no—
1233C2×D4—441no—
1234C2×D4—441no—
1235C2×D4—441no—
1236C2×D4—441no—
1237C2×D4—441no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—416no—
1257C22×C4—114no—
1258C22×C4—111no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—111no—
1264C22×C4—111no—
1265C22×C4—111no—
1266C22×C4—111no—
1267C22×C4—111no—
1268C22×C4—111no—
1269C22×C4—111no—
1270C22×C4—111no—
1271C22×C4—111no—
1272C22×C4—111no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—222no—
1276C22×C4—222no—
1277C22×C4—222no—
1278C22×C4—222no—
1279C22×C4—222no—
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×C4—441no—
1291C22×C4—441no—
1292C22×C4—441no—
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
1303C4⋊C4—22no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—222no—
1307C4⋊C4—222no—
1308C4⋊C4—222no—
1309C4⋊C4—222no—
1310C4⋊C4—222no—
1311C4⋊C4—441no—
1312C4⋊C4—441no—
1313C4⋊C4—441no—
1314C4⋊C4—441no—
1315C4⋊C4—441no—
1316C4⋊C4—441no—
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—
1329C4⋊C4—441no—
1330C4⋊C4—441no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—222no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—441no—
1358C22⋊C4—441no—
1359C22⋊C4—441no—
1360C22⋊C4—441no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C22⋊C4—441no—
1381C42—441no—
1382C42—441no—
1383C42—441no—
1384C42—441no—
1385C42—441no—
1386C11#3679111yescharacteristic, complemented, Sylow
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23#6703712yes—
1432C23#6703712yes—
1433C23#6703712yes—
1434C23#41×D1112yes—
1435C23#6704312yes—
1436C23C24×D1111yescharacteristic
1437Q8—444no—
1438Q8—882no—
1439D4—44no—
1440D4—44no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—444no—
1447D4—444no—
1448D4—882no—
1449D4—882no—
1450D4—882no—
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—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—112no—
1487C2×C4—112no—
1488C2×C4—228no—
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—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—444no—
1533C2×C4—444no—
1534C2×C4—444no—
1535C2×C4—882no—
1536C2×C4—882no—
1537C2×C4—882no—
1538C2×C4#6703712yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—441no—
1581C22#1062314414yes—
1582C22C2×#6703711yescharacteristic
1583C22C2×#6703711yescharacteristic
1584C22C2×#6703711yescharacteristic
1585C22C2×#6703711yescharacteristic
1586C22C2×#41×D1111yescharacteristic
1587C22C2×#6704311yescharacteristic
1588C22#1062345311yescharacteristic
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—222no—
1600C4—222no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4—441no—
1605C4—441no—
1606C4—441no—
1607C4—441no—
1608C4—441no—
1609C4—441no—
1610C4—441no—
1611C4—441no—
1612C4—441no—
1613C4—441no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—881no—
1620C2C2×#1062314411yescharacteristic
1621C2#1308231711yescharacteristic
1622C2#1308245911yescharacteristic
1623C2#1308277111yescharacteristic
1624C2#1308280611yescharacteristic
1625C2#1308281911yescharacteristic
1626C2#1308283811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2847C2
hypercenter#2847D11
hypocenterC11#36791
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. #13076908C2semidirect
2. #13076559C2semidirect
3. #13076469C2semidirect
4. #13076358C2semidirect
5. #13076313C2semidirect
6. #13076261C2semidirect
7. #13076237C2semidirect
8. #13075869C2semidirect
9. #13075854C2semidirect
10. #13075781C2semidirect
11. #13075406C2semidirect
12. #13075358C2semidirect
13. #13075334C2semidirect
14. #13075328C2semidirect
15. #13075151C2semidirect
16. #13075018C2semidirect
17. #13074977C2semidirect
18. #13074571C2semidirect
19. #13074546C2semidirect
20. #13072884C2semidirect
21. #13072741C2semidirect
22. #13072347C2semidirect
23. #13072298C2semidirect
24. #13072222C2semidirect
25. #13072156C2semidirect
26. #13071997C2semidirect
27. #13071932C2semidirect
28. #13071290C2semidirect
29. #13071203C2semidirect
30. C2×#10622823C2semidirect
31. C11×#2847C2semidirect
46. C2×#66988C22semidirect
52. C2×#66951C22semidirect
68. #10622836C22semidirect
74. #10622835C22semidirect
85. #10622833C22semidirect
106. #10622607C22semidirect
107. #10622602C22semidirect
108. #10622596C22semidirect
109. #10622595C22semidirect
110. #10622594C22semidirect
111. #10622593C22semidirect
112. #10622592C22semidirect
113. #10622592C22semidirect
114. #10622591C22semidirect
115. #10622591C22semidirect
116. #10622585C22semidirect
118. #10622574C22semidirect
119. #10622572C22semidirect
120. #10622572C22semidirect
124. #10622570C22semidirect
125. #10622570C22semidirect
128. #10622569C22semidirect
130. #10622566C22semidirect
131. #10622565C22semidirect
132. #10622565C22semidirect
133. #10622565C22semidirect
134. #10622565C22semidirect
136. #10622562C22semidirect
140. #10622561C22semidirect
144. #10622560C22semidirect
145. #10622560C22semidirect
147. #10622559C22semidirect
148. #10622559C22semidirect
149. #10622559C22semidirect
150. #10622559C22semidirect
156. #10622557C22semidirect
157. #10622557C22semidirect
158. #10622557C22semidirect
160. #10622555C22semidirect
161. #10622555C22semidirect
163. #10622288C22semidirect
164. #10622288C22semidirect
165. #10622286C22semidirect
166. #10622282C22semidirect
167. #10622280C22semidirect
168. #10622280C22semidirect
169. C11⋊#401C22semidirect
170. #10622273C22semidirect
171. #10622273C22semidirect
172. #10622273C22semidirect
173. #10622272C22semidirect
174. #10622271C22semidirect
175. #10622271C22semidirect
176. #10622271C22semidirect
177. #10622270C22semidirect
178. #10622267C22semidirect
179. #10622265C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622260C22semidirect
183. #10622260C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
575. #2847D11semidirect
1386. C11#36791semidirect

Maximal subgroups

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

subgroupindex
#130769082
#130765592
#130764692
#130763582
#130763132
#130762612
#130762372
#130758692
#130758542
#130757812
#130754062
#130753582
#130753342
#130753282
#130751512
#130750182
#130749772
#130745712
#130745462
#130728842
#130727412
#130723472
#130722982
#130722222
#130721562
#130719972
#130719322
#130712902
#130712032
C2×#106228232
C11×#28472
#3679111