Finite Group Databasebeta

← #14926622

Subgroups — #14926622

Order 2816.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076952C211yesmaximal, characteristic, complemented
2#13076937C211yesmaximal, characteristic, complemented
3#13076929C211yesmaximal, characteristic, complemented
4#13076922C211yesmaximal, characteristic, complemented
5#13074681C211yesmaximal, characteristic, complemented
6#13074666C211yesmaximal, characteristic, complemented
7#13074664C211yesmaximal, characteristic, complemented
8#13074619C211yesmaximal, characteristic, complemented
9#13073343C211yesmaximal, characteristic, complemented
10#13073259C211yesmaximal, characteristic, complemented
11#13073111C211yesmaximal, characteristic, complemented
12#13073003C211yesmaximal, characteristic, complemented
13#13072995C211yesmaximal, characteristic, complemented
14#13072944C211yesmaximal, characteristic, complemented
15#13072897C211yesmaximal, characteristic, complemented
16#13072879C211yesmaximal, characteristic, complemented
17#13072759C211yesmaximal, characteristic, complemented
18#13072646C211yesmaximal, characteristic, complemented
19#13072562C211yesmaximal, characteristic, complemented
20#13072434C211yesmaximal, characteristic, complemented
21#13072282C211yesmaximal, characteristic, complemented
22#13072087C211yesmaximal, characteristic, complemented
23#13072013C211yesmaximal, characteristic
24#13072013C211yesmaximal, characteristic
25#13071344C211yesmaximal, characteristic, complemented
26#13071281C211yesmaximal, characteristic, complemented
27#13071249C211yesmaximal, characteristic, complemented
28#13071216C211yesmaximal, characteristic, complemented
29C2×#10622823C211yesmaximal, characteristic, complemented
30C2×C4×C22⋊Dic11C211yesmaximal, characteristic, complemented
31C4×C11×#120C211yesmaximal, characteristic
32C24×C4×C11C2211yescharacteristic
33C2×C11×#120C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C22×C22⋊Dic11C2211yescharacteristic
38C22×C22⋊Dic11C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C2×#66988C2211yescharacteristic
42C2×#66988C2211yescharacteristic
43C22×Dic11⋊C4C2211yescharacteristic
44C22×Dic11⋊C4C2211yescharacteristic
45C22×C4×Dic11C2211yescharacteristic
46C22×C4×Dic11C2211yescharacteristic
47C2×#66942C2211yescharacteristic, complemented
48C2×#66932C2211yescharacteristic, complemented
49C2×#66931C2211yescharacteristic
50C2×#66931C2211yescharacteristic
51C11×#386C2211yescharacteristic
52C11×#386C2211yescharacteristic
53C11×#386C2211yescharacteristic
54C11×#385C2211yescharacteristic
55C11×#385C2211yescharacteristic
56C11×#385C2211yescharacteristic
57C11×#379C2211yescharacteristic
58C4×C11×C22⋊C4C2211yescharacteristic
59C4×C11×C22⋊C4C2211yescharacteristic
60C4×C11×C22⋊C4C2211yescharacteristic
61#10622835C2211yescharacteristic
62#10622835C2211yescharacteristic
63#10622835C2211yescharacteristic
64#10622835C2211yescharacteristic
65#10622833C2211yescharacteristic
66#10622833C2211yescharacteristic
67#10622833C2211yescharacteristic
68#10622833C2211yescharacteristic
69#10622833C2211yescharacteristic
70#10622833C2211yescharacteristic
71#10622825C2211yescharacteristic, complemented
72#10622824C2211yescharacteristic, complemented
73#10622823C2211yescharacteristic
74#10622823C2211yescharacteristic
75#10622823C2211yescharacteristic
76#10622823C2211yescharacteristic
77#10622823C2211yescharacteristic
78#10622823C2211yescharacteristic
79#10622823C2211yescharacteristic
80#10622823C2211yescharacteristic
81#10622823C2211yescharacteristic, complemented
82#10622823C2211yescharacteristic, complemented
83C4×C22⋊Dic11C2211yescharacteristic
84C4×C22⋊Dic11C2211yescharacteristic
85C4×C22⋊Dic11C2211yescharacteristic
86C4×C22⋊Dic11C2211yescharacteristic
87C4×C22⋊Dic11C2211yescharacteristic
88C4×C22⋊Dic11C2211yescharacteristic
89C4×C22⋊Dic11C2211yescharacteristic
90C4×C22⋊Dic11C2211yescharacteristic
91C2×C11⋊#95C2211yescharacteristic
92C2×C11⋊#95C2211yescharacteristic
93C2×C11⋊#95C2211yescharacteristic
94C2×C11⋊#95C2211yescharacteristic
95#10622599C2211yescharacteristic, complemented
96#10622597C2211yescharacteristic, complemented
97#10622595C2211yescharacteristic, complemented
98#10622594C2211yescharacteristic, complemented
99#10622594C2211yescharacteristic, complemented
100#10622594C2211yescharacteristic, complemented
101#10622593C2211yescharacteristic, complemented
102#10622591C2211yescharacteristic, complemented
103#10622585C2211yescharacteristic, complemented
104#10622585C2211yescharacteristic, complemented
105#10622585C2211yescharacteristic, complemented
106#10622566C2211yescharacteristic
107#10622566C2211yescharacteristic
108#10622566C2211yescharacteristic
109#10622566C2211yescharacteristic
110#10622565C2211yescharacteristic
111#10622565C2211yescharacteristic
112#10622565C2211yescharacteristic
113#10622565C2211yescharacteristic
114#10622565C2211yescharacteristic, complemented
115#10622565C2211yescharacteristic, complemented
116#10622564C2211yescharacteristic, complemented
117#10622564C2211yescharacteristic, complemented
118#10622564C2211yescharacteristic, complemented
119#10622563C2211yescharacteristic
120#10622563C2211yescharacteristic
121#10622563C2211yescharacteristic
122#10622563C2211yescharacteristic
123#10622563C2211yescharacteristic
124#10622563C2211yescharacteristic
125#10622562C2211yescharacteristic
126#10622561C2211yescharacteristic
127#10622561C2211yescharacteristic
128#10622561C2211yescharacteristic, complemented
129#10622560C2211yescharacteristic
130#10622560C2211yescharacteristic, complemented
131#10622559C2211yescharacteristic
132#10622559C2211yescharacteristic
133#10622559C2211yescharacteristic
134#10622559C2211yescharacteristic
135#10622558C2211yescharacteristic, complemented
136#10622558C2211yescharacteristic, complemented
137#10622558C2211yescharacteristic, complemented
138#10622557C2211yescharacteristic, complemented
139#10622556C2211yescharacteristic
140#10622556C2211yescharacteristic
141#10622556C2211yescharacteristic
142#10622556C2211yescharacteristic
143#10622556C2211yescharacteristic
144#10622556C2211yescharacteristic
145#10622555C2211yescharacteristic
146#10622555C2211yescharacteristic
147#10622555C2211yescharacteristic
148#10622555C2211yescharacteristic
149#10622555C2211yescharacteristic
150#10622555C2211yescharacteristic
151#10622550C2211yescharacteristic, complemented
152#10622549C2211yescharacteristic, complemented
153#10622546C2211yescharacteristic, complemented
154#10622546C2211yescharacteristic, complemented
155#10622546C2211yescharacteristic, complemented
156#10622546C2211yescharacteristic, complemented
157#10622546C2211yescharacteristic, complemented
158#10622546C2211yescharacteristic, complemented
159#10622546C2211yescharacteristic, complemented
160#10622546C2211yescharacteristic, complemented
161#10622542C2211yescharacteristic, complemented
162#10622541C2211yescharacteristic, complemented
163C11⋊#401C2211yescharacteristic, complemented
164#10622273C2211yescharacteristic, complemented
165#10622273C2211yescharacteristic, complemented
166#10622273C2211yescharacteristic, complemented
167#10622271C2211yescharacteristic, complemented
168#10622271C2211yescharacteristic, complemented
169#10622271C2211yescharacteristic, complemented
170#10622270C2211yescharacteristic, complemented
171#10622268C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622267C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622265C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11—24no—
192C23×C4×C11—42no—
193C23×C4×C11—42no—
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C22×Dic22C2311yescharacteristic
210C11×#120—24no—
211C4×D4×C11—24no—
212C4×D4×C11—42no—
213C4×D4×C11—42no—
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C22⋊Dic11—24no—
233C2×C22⋊Dic11—24no—
234C2×C22⋊Dic11—24no—
235C2×C22⋊Dic11—42no—
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
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
260#66988—24no—
261#66988—42no—
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×Dic11⋊C4—24no—
270C2×Dic11⋊C4—42no—
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×C4×Dic11—42no—
294C2×C4×Dic11—42no—
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303#66942—42no—
304#66932—42no—
305#66931—24no—
306#66931—42no—
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11⋊#95C2311yescharacteristic
314C11⋊#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
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
363#34999—111nomaximal, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—22no—
367C24×C11—22no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11#4114yes—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C2×D4×C11—22no—
376C2×D4×C11—22no—
377C2×D4×C11—22no—
378C2×D4×C11—22no—
379C2×D4×C11—22no—
380C2×D4×C11—22no—
381C2×D4×C11—22no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C22×C4×C11—22no—
385C22×C4×C11—22no—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11—22no—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—41no—
396C22×C4×C11—41no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—416no—
405C22×C4×C11#4114yes—
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×Dic11—22no—
418C22×Dic11—22no—
419C22×Dic11—22no—
420C22×Dic11—22no—
421C22×Dic11—22no—
422C22×Dic11—22no—
423C22×Dic11—22no—
424C22×Dic11—22no—
425C22×Dic11—22no—
426C22×Dic11—22no—
427C22×Dic11—22no—
428C22×Dic11—22no—
429C22×Dic11—22no—
430C22×Dic11—22no—
431C22×Dic11—41no—
432C22×Dic11—41no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
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
457C2×Dic22—22no—
458C2×Dic22—41no—
459C2×Dic22—41no—
460C11×C4⋊C4—22no—
461C11×C4⋊C4—22no—
462C11×C4⋊C4—41no—
463C11×C22⋊C4—22no—
464C11×C22⋊C4—22no—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—22no—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4—41no—
475C42×C11—22no—
476C42×C11—41no—
477C42×C11—41no—
478C22⋊Dic11—22no—
479C22⋊Dic11—22no—
480C22⋊Dic11—22no—
481C22⋊Dic11—22no—
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—22no—
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#4114yes—
502C4⋊Dic11—22no—
503C4⋊Dic11—41no—
504C4⋊Dic11—41no—
505C4⋊Dic11—41no—
506C4⋊Dic11—41no—
507C4⋊Dic11—41no—
508C4⋊Dic11—41no—
509Dic11⋊C4—22no—
510Dic11⋊C4—22no—
511Dic11⋊C4—22no—
512Dic11⋊C4—22no—
513Dic11⋊C4—22no—
514Dic11⋊C4—22no—
515Dic11⋊C4—22no—
516Dic11⋊C4—22no—
517Dic11⋊C4—22no—
518Dic11⋊C4—22no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4—41no—
530Dic11⋊C4—41no—
531C4×Dic11—22no—
532C4×Dic11—22no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539#2855—111no—
540#2853—111no—
541#2852—111no—
542#2851—111no—
543#2653—111no—
544#2652—111no—
545#2652—111no—
546#2649—111no—
547#2523—111no—
548#2517—111no—
549#2505—111no—
550#2493—111no—
551#2493—111no—
552#2488—111no—
553#2483—111no—
554#2481—111no—
555#2473—111no—
556#2466—111no—
557#2460—111no—
558#2450—111no—
559#2437—111no—
560#2419—111no—
561#2412—111no—
562#2412—111no—
563#2329—111no—
564#2322—111no—
565#2318—111no—
566#2313—111no—
567C4×#120D1111yescharacteristic
568C2×#385—111no—
569C2×C4×C22⋊C4—111no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—28no—
579C23×C11—28no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—44no—
594C23×C11—44no—
595C23×C11—44no—
596C23×C11—44no—
597C23×C11—44no—
598C23×C11C2×#4112yes—
599C23×C11C2×#4112yes—
600C23×C11C2×#4112yes—
601C23×C11C2×#4112yes—
602C23×C11C2×#4112yes—
603C23×C11H(5,𝔽2)12yes—
604C23×C112−1+412yes—
605C23×C11C2511yescharacteristic
606D4×C11—44no—
607D4×C11—44no—
608D4×C11—44no—
609C2×C4×C11—28no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
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—44no—
641C2×C4×C11—44no—
642C2×C4×C11—44no—
643C2×C4×C11—44no—
644C2×C4×C11—44no—
645C2×C4×C11—82no—
646C2×C4×C11C2×#4112yes—
647C2×C4×C11C2×#4112yes—
648C2×C4×C11H(5,𝔽2)12yes—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
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—44no—
696C2×Dic11—44no—
697C2×Dic11—44no—
698C2×Dic11—44no—
699C2×Dic11—44no—
700C2×Dic11—44no—
701C2×Dic11—82no—
702C2×Dic11—82no—
703C2×Dic11C2×#4112yes—
704C2×Dic11C2×#4112yes—
705Dic22—82no—
706C24×C4C2×D1111yescharacteristic
707C2×#126—111no—
708C2×#125—111no—
709C2×#123—111no—
710C2×#123—111no—
711C2×C22⋊Q8—111no—
712C2×C22⋊Q8—111no—
713C2×#120C2×D1111yescharacteristic
714C2×C4×D4C2×D1111yescharacteristic
715C2×C4×D4C2×D1111yescharacteristic
716C2×C4×D4C2×D1111yescharacteristic
717C22×C4⋊C4—111no—
718C22×C4⋊C4—111no—
719C22×C22⋊C4—111no—
720C22×C22⋊C4—111no—
721C22×C22⋊C4—111no—
722C22×C22⋊C4—111no—
723C22×C42—111no—
724C22×C42—111no—
725#401—111no—
726#400—111no—
727#400—111no—
728#400—111no—
729#400—111no—
730#400—111no—
731#400—111no—
732#400—111no—
733#400—111no—
734#399—111no—
735#398—111no—
736#398—111no—
737#398—111no—
738#397—111no—
739#397—111no—
740#397—111no—
741#397—111no—
742#397—111no—
743#397—111no—
744#397—111no—
745#397—111no—
746#397—111no—
747#397—111no—
748#396—111no—
749#396—111no—
750#396—111no—
751#394—111no—
752#394—111no—
753#394—111no—
754#394—111no—
755#393—111no—
756#393—111no—
757#391—111no—
758#391—111no—
759#391—111no—
760#389—111no—
761#389—111no—
762#389—111no—
763#389—111no—
764#389—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#386—111no—
796#386—111no—
797#386—111no—
798#386—111no—
799#386—111no—
800#386—111no—
801#386C2×D1111yescharacteristic
802#386C2×D1111yescharacteristic
803#386C2×D1111yescharacteristic
804#385—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#385—111no—
809#385—111no—
810#385—111no—
811#385—111no—
812#385—111no—
813#385—111no—
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#385—111no—
823#385—111no—
824#385C2×D1111yescharacteristic
825#385C2×D1111yescharacteristic
826#385C2×D1111yescharacteristic
827#383—111no—
828#383—111no—
829#382—111no—
830#382—111no—
831#381—111no—
832#381—111no—
833#381—111no—
834#381—111no—
835#381—111no—
836#381—111no—
837#381—111no—
838#380—111no—
839#380—111no—
840#380—111no—
841#380—111no—
842#380—111no—
843#380—111no—
844#380—111no—
845#379C2×D1111yescharacteristic
846C4×C22⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4—111no—
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
853C4×C22⋊C4—111no—
854C4×C22⋊C4C2×D1111yescharacteristic
855C4×C22⋊C4C2×D1111yescharacteristic
856C4×C22⋊C4C2×D1111yescharacteristic
857C2×#95—111no—
858C2×#95—111no—
859C2×#95—111no—
860C2×#95—111no—
861C22×C11—22no—
862C22×C11—22no—
863C22×C11—22no—
864C22×C11—22no—
865C22×C11—22no—
866C22×C11—22no—
867C22×C11—22no—
868C22×C11—22no—
869C22×C11—22no—
870C22×C11—22no—
871C22×C11—22no—
872C22×C11—22no—
873C22×C11—22no—
874C22×C11—22no—
875C22×C11—22no—
876C22×C11—416no—
877C22×C11—41no—
878C22×C11—41no—
879C22×C11—41no—
880C22×C11—41no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11—41no—
884C22×C11—41no—
885C22×C11—41no—
886C22×C11—41no—
887C22×C11—41no—
888C22×C11#52914yes—
889C22×C11#53914yes—
890C22×C11C22×#4111yescharacteristic
891C22×C11C22×#4111yescharacteristic
892C22×C11C22×#4111yescharacteristic
893C22×C11C2×H(5,𝔽2)11yescharacteristic
894C22×C11C2×H(5,𝔽2)11yescharacteristic
895C22×C11C2×2−1+411yescharacteristic
896C22×C11#58511yescharacteristic
897C4×C11—22no—
898C4×C11—22no—
899C4×C11—22no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908Dic11—22no—
909Dic11—22no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921Dic11—41no—
922Dic11—41no—
923Dic11—41no—
924C25C22×D1111yescharacteristic
925C22×Q8—111no—
926C22×D4C22×D1111yescharacteristic
927C22×D4C22×D1111yescharacteristic
928C22×D4C22×D1111yescharacteristic
929C23×C4—24no—
930C23×C4—42no—
931C23×C4—42no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4—111no—
940C23×C4C22×D1111yescharacteristic
941C23×C4C22×D1111yescharacteristic
942C23×C4C22×D1111yescharacteristic
943C23×C4C22×D1111yescharacteristic
944C23×C4C22×D1111yescharacteristic
945C23×C4C22×D1111yescharacteristic
946C23×C4C22×D1111yescharacteristic
947#126—442no—
948#125—442no—
949#123—224no—
950#123—442no—
951C22⋊Q8—224no—
952C22⋊Q8—442no—
953#120—24no—
954C4×D4—24no—
955C4×D4—42no—
956C4×D4—42no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—224no—
987C2×C4⋊C4—442no—
988C2×C4⋊C4C22×D1111yescharacteristic
989C2×C4⋊C4C22×D1111yescharacteristic
990C2×C4⋊C4C22×D1111yescharacteristic
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—224no—
1016C2×C22⋊C4—224no—
1017C2×C22⋊C4—224no—
1018C2×C22⋊C4—442no—
1019C2×C22⋊C4C22×D1111yescharacteristic
1020C2×C22⋊C4C22×D1111yescharacteristic
1021C2×C22⋊C4C22×D1111yescharacteristic
1022C2×C22⋊C4C22×D1111yescharacteristic
1023C2×C22⋊C4C22×D1111yescharacteristic
1024C2×C22⋊C4C22×D1111yescharacteristic
1025C2×C22⋊C4C22×D1111yescharacteristic
1026C2×C22⋊C4C22×D1111yescharacteristic
1027C2×C22⋊C4C22×D1111yescharacteristic
1028C2×C22⋊C4C22×D1111yescharacteristic
1029C2×C22⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4C22×D1111yescharacteristic
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—111no—
1034C2×C42—111no—
1035C2×C42—111no—
1036C2×C42—111no—
1037C2×C42—111no—
1038C2×C42—111no—
1039C2×C42—442no—
1040C2×C42—442no—
1041C2×C42C22×D1111yescharacteristic
1042C2×C42C22×D1111yescharacteristic
1043C2×C42C22×D1111yescharacteristic
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95C22×D1111yescharacteristic
1095#95C22×D1111yescharacteristic
1096#95C22×D1111yescharacteristic
1097#95C22×D1111yescharacteristic
1098#95C22×D1111yescharacteristic
1099#95C22×D1111yescharacteristic
1100C2×C11—24no—
1101C2×C11—24no—
1102C2×C11—42no—
1103C2×C11—81no—
1104C2×C11C2×#52911yescharacteristic
1105C2×C11C2×#53911yescharacteristic
1106C2×C11#345911yescharacteristic
1107C2×C11#349011yescharacteristic
1108C2×C11#349511yescharacteristic
1109C2×C11#351311yescharacteristic
1110C2×C11#352011yescharacteristic
1111C24—22no—
1112C24—22no—
1113C24—22no—
1114C24—22no—
1115C24—41no—
1116C24—41no—
1117C24#433914yes—
1118C24C23×D1111yescharacteristic
1119C24C23×D1111yescharacteristic
1120C24C23×D1111yescharacteristic
1121C24C23×D1111yescharacteristic
1122C2×Q8—222no—
1123C2×Q8—441no—
1124C2×Q8—441no—
1125C2×D4—22no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—416no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—111no—
1159C22×C4—111no—
1160C22×C4—111no—
1161C22×C4—111no—
1162C22×C4—111no—
1163C22×C4—111no—
1164C22×C4—111no—
1165C22×C4—111no—
1166C22×C4—111no—
1167C22×C4—111no—
1168C22×C4—111no—
1169C22×C4—111no—
1170C22×C4—111no—
1171C22×C4—222no—
1172C22×C4—222no—
1173C22×C4—222no—
1174C22×C4—222no—
1175C22×C4—222no—
1176C22×C4—222no—
1177C22×C4—222no—
1178C22×C4—222no—
1179C22×C4—222no—
1180C22×C4—222no—
1181C22×C4—222no—
1182C22×C4—222no—
1183C22×C4—222no—
1184C22×C4—222no—
1185C22×C4—441no—
1186C22×C4—441no—
1187C22×C4—441no—
1188C22×C4—441no—
1189C22×C4—441no—
1190C22×C4—441no—
1191C22×C4—441no—
1192C22×C4—441no—
1193C22×C4—441no—
1194C22×C4—441no—
1195C22×C4#434114yes—
1196C22×C4C23×D1111yescharacteristic
1197C22×C4C23×D1111yescharacteristic
1198C22×C4C23×D1111yescharacteristic
1199C22×C4C23×D1111yescharacteristic
1200C22×C4C23×D1111yescharacteristic
1201C22×C4C23×D1111yescharacteristic
1202C22×C4C23×D1111yescharacteristic
1203C22×C4C23×D1111yescharacteristic
1204C22×C4C23×D1111yescharacteristic
1205C22×C4C23×D1111yescharacteristic
1206C22×C4C23×D1111yescharacteristic
1207C4⋊C4—22no—
1208C4⋊C4—22no—
1209C4⋊C4—41no—
1210C4⋊C4—222no—
1211C4⋊C4—222no—
1212C4⋊C4—222no—
1213C4⋊C4—222no—
1214C4⋊C4—222no—
1215C4⋊C4—222no—
1216C4⋊C4—222no—
1217C4⋊C4—222no—
1218C4⋊C4—222no—
1219C4⋊C4—222no—
1220C4⋊C4—222no—
1221C4⋊C4—441no—
1222C4⋊C4—441no—
1223C4⋊C4—441no—
1224C4⋊C4—441no—
1225C4⋊C4—441no—
1226C4⋊C4—441no—
1227C4⋊C4—441no—
1228C4⋊C4—441no—
1229C4⋊C4—441no—
1230C4⋊C4—441no—
1231C4⋊C4—441no—
1232C4⋊C4—441no—
1233C4⋊C4—441no—
1234C4⋊C4—441no—
1235C4⋊C4—441no—
1236C4⋊C4—441no—
1237C4⋊C4—441no—
1238C4⋊C4—441no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—114no—
1252C22⋊C4—222no—
1253C22⋊C4—222no—
1254C22⋊C4—222no—
1255C22⋊C4—222no—
1256C22⋊C4—222no—
1257C22⋊C4—222no—
1258C22⋊C4—222no—
1259C22⋊C4—222no—
1260C22⋊C4—222no—
1261C22⋊C4—222no—
1262C22⋊C4—222no—
1263C22⋊C4—222no—
1264C22⋊C4—222no—
1265C22⋊C4—222no—
1266C22⋊C4—222no—
1267C22⋊C4—441no—
1268C22⋊C4—441no—
1269C22⋊C4—441no—
1270C22⋊C4—441no—
1271C22⋊C4—441no—
1272C22⋊C4—441no—
1273C22⋊C4—441no—
1274C22⋊C4—441no—
1275C42—22no—
1276C42—41no—
1277C42—41no—
1278C42—222no—
1279C42—222no—
1280C42—441no—
1281C42—441no—
1282C42—441no—
1283C42—441no—
1284C42—441no—
1285C42—441no—
1286C11#3499911yescharacteristic, complemented, Sylow
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—28no—
1296C23—28no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—44no—
1311C23—44no—
1312C23—44no—
1313C23—44no—
1314C23—44no—
1315C23C2×#433912yes—
1316C23C2×#433912yes—
1317C23C2×#433912yes—
1318C23C2×#434112yes—
1319C23#6703712yes—
1320C23#41×D1112yes—
1321C23#6704312yes—
1322C23C24×D1111yescharacteristic
1323Q8—882no—
1324D4—44no—
1325D4—44no—
1326D4—44no—
1327C2×C4—28no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—44no—
1359C2×C4—44no—
1360C2×C4—44no—
1361C2×C4—44no—
1362C2×C4—44no—
1363C2×C4—82no—
1364C2×C4—112no—
1365C2×C4—112no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
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—444no—
1413C2×C4—444no—
1414C2×C4—444no—
1415C2×C4—444no—
1416C2×C4—444no—
1417C2×C4—444no—
1418C2×C4—882no—
1419C2×C4—882no—
1420C2×C4C2×#434112yes—
1421C2×C4C2×#434112yes—
1422C2×C4#6703712yes—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—22no—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—22no—
1436C22—22no—
1437C22—22no—
1438C22—416no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22#1062306914yes—
1451C22#1062309514yes—
1452C22C22×#433911yescharacteristic
1453C22C22×#434111yescharacteristic
1454C22C2×#6703711yescharacteristic
1455C22C2×#6703711yescharacteristic
1456C22C2×#41×D1111yescharacteristic
1457C22C2×#6704311yescharacteristic
1458C22#1062345311yescharacteristic
1459C4—22no—
1460C4—22no—
1461C4—22no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—222no—
1471C4—222no—
1472C4—441no—
1473C4—441no—
1474C4—441no—
1475C4—441no—
1476C4—441no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C4—441no—
1482C4—441no—
1483C4—441no—
1484C4—441no—
1485C4—441no—
1486C2—24no—
1487C2—24no—
1488C2—42no—
1489C2—81no—
1490C2C2×#1062306911yescharacteristic
1491C2C2×#1062309511yescharacteristic
1492C2#1308202511yescharacteristic
1493C2#1308230311yescharacteristic
1494C2#1308237011yescharacteristic
1495C2#1308254211yescharacteristic
1496C2#1308265311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC4×C11×#120C2
prime radicalC2×C11×#120C22
hypercenterC4×#120D11
hypocenterC11#34999
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. #13076952C2semidirect
2. #13076937C2semidirect
3. #13076929C2semidirect
4. #13076922C2semidirect
5. #13074681C2semidirect
6. #13074666C2semidirect
7. #13074664C2semidirect
8. #13074619C2semidirect
9. #13073343C2semidirect
10. #13073259C2semidirect
11. #13073111C2semidirect
12. #13073003C2semidirect
13. #13072995C2semidirect
14. #13072944C2semidirect
15. #13072897C2semidirect
16. #13072879C2semidirect
17. #13072759C2semidirect
18. #13072646C2semidirect
19. #13072562C2semidirect
20. #13072434C2semidirect
21. #13072282C2semidirect
22. #13072087C2semidirect
25. #13071344C2semidirect
26. #13071281C2semidirect
27. #13071249C2semidirect
28. #13071216C2semidirect
29. C2×#10622823C2semidirect
30. C2×C4×C22⋊Dic11C2semidirect
47. C2×#66942C22semidirect
48. C2×#66932C22semidirect
71. #10622825C22semidirect
72. #10622824C22semidirect
81. #10622823C22semidirect
82. #10622823C22semidirect
95. #10622599C22semidirect
96. #10622597C22semidirect
97. #10622595C22semidirect
98. #10622594C22semidirect
99. #10622594C22semidirect
100. #10622594C22semidirect
101. #10622593C22semidirect
102. #10622591C22semidirect
103. #10622585C22semidirect
104. #10622585C22semidirect
105. #10622585C22semidirect
114. #10622565C22semidirect
115. #10622565C22semidirect
116. #10622564C22semidirect
117. #10622564C22semidirect
118. #10622564C22semidirect
128. #10622561C22semidirect
130. #10622560C22semidirect
135. #10622558C22semidirect
136. #10622558C22semidirect
137. #10622558C22semidirect
138. #10622557C22semidirect
151. #10622550C22semidirect
152. #10622549C22semidirect
153. #10622546C22semidirect
154. #10622546C22semidirect
155. #10622546C22semidirect
156. #10622546C22semidirect
157. #10622546C22semidirect
158. #10622546C22semidirect
159. #10622546C22semidirect
160. #10622546C22semidirect
161. #10622542C22semidirect
162. #10622541C22semidirect
163. C11⋊#401C22semidirect
164. #10622273C22semidirect
165. #10622273C22semidirect
166. #10622273C22semidirect
167. #10622271C22semidirect
168. #10622271C22semidirect
169. #10622271C22semidirect
170. #10622270C22semidirect
171. #10622268C22semidirect
172. #10622267C22semidirect
173. #10622267C22semidirect
174. #10622266C22semidirect
175. #10622266C22semidirect
176. #10622265C22semidirect
177. #10622265C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622263C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
1286. C11#34999semidirect

Maximal subgroups

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

subgroupindex
#130769522
#130769372
#130769292
#130769222
#130746812
#130746662
#130746642
#130746192
#130733432
#130732592
#130731112
#130730032
#130729952
#130729442
#130728972
#130728792
#130727592
#130726462
#130725622
#130724342
#130722822
#130720872
#130720132
#130713442
#130712812
#130712492
#130712162
C2×#106228232
C2×C4×C22⋊Dic112
C4×C11×#1202
#3499911