Finite Group Databasebeta

← #14961424

Subgroups — #14961424

Order 2816.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076964C211yesmaximal, characteristic, complemented
2#13076922C211yesmaximal, characteristic, complemented
3#13076582C211yesmaximal, characteristic, complemented
4#13076581C211yesmaximal, characteristic, complemented
5#13076362C211yesmaximal, characteristic, complemented
6#13076355C211yesmaximal, characteristic, complemented
7#13076098C211yesmaximal, characteristic, complemented
8#13076091C211yesmaximal, characteristic, complemented
9#13076033C211yesmaximal, characteristic, complemented
10#13076028C211yesmaximal, characteristic, complemented
11#13075603C211yesmaximal, characteristic, complemented
12#13075594C211yesmaximal, characteristic, complemented
13#13075502C211yesmaximal, characteristic, complemented
14#13075499C211yesmaximal, characteristic, complemented
15#13075279C211yesmaximal, characteristic, complemented
16#13075279C211yesmaximal, characteristic, complemented
17#13075274C211yesmaximal, characteristic, complemented
18#13075270C211yesmaximal, characteristic, complemented
19#13074733C211yesmaximal, characteristic, complemented
20#13074588C211yesmaximal, characteristic, complemented
21#13073629C211yesmaximal, characteristic, complemented
22#13073624C211yesmaximal, characteristic, complemented
23#13072339C211yesmaximal, characteristic, complemented
24#13072337C211yesmaximal, characteristic, complemented
25#13072282C211yesmaximal, characteristic
26#13072277C211yesmaximal, characteristic
27#13072277C211yesmaximal, characteristic
28#13071228C211yesmaximal, characteristic
29#13071212C211yesmaximal, characteristic
30C2×#10622557C211yesmaximal, characteristic
31C11×#2437C211yesmaximal, characteristic
32C2×C11×C22⋊Q8C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C22×C11×C22⋊C4C2211yescharacteristic
35C22×C11×C22⋊C4C2211yescharacteristic
36C22×C22⋊Dic11C2211yescharacteristic
37C22×C22⋊Dic11C2211yescharacteristic
38C22×C22⋊Dic11C2211yescharacteristic
39C2×#66997C2211yescharacteristic, complemented
40C2×#66977C2211yescharacteristic
41C2×#66977C2211yescharacteristic
42C22×Dic11⋊C4C2211yescharacteristic
43C22×C4×Dic11C2211yescharacteristic
44C2×#66942C2211yescharacteristic, complemented
45C2×#66942C2211yescharacteristic, complemented
46C2×#66942C2211yescharacteristic, complemented
47C2×#66931C2211yescharacteristic
48C2×#66931C2211yescharacteristic
49C2×#66931C2211yescharacteristic
50C2×#66931C2211yescharacteristic
51C11×#399C2211yescharacteristic
52C11×#396C2211yescharacteristic
53C11×#396C2211yescharacteristic
54C11×#393C2211yescharacteristic
55C11×#385C2211yescharacteristic
56C11×#385C2211yescharacteristic
57C11×#385C2211yescharacteristic
58C11×#385C2211yescharacteristic
59C11×#380C2211yescharacteristic
60C11×#380C2211yescharacteristic
61C11×#379C2211yescharacteristic
62#10622860C2211yescharacteristic
63#10622843C2211yescharacteristic, complemented
64#10622843C2211yescharacteristic, complemented
65#10622842C2211yescharacteristic, complemented
66#10622825C2211yescharacteristic
67#10622825C2211yescharacteristic
68#10622823C2211yescharacteristic
69#10622823C2211yescharacteristic
70#10622823C2211yescharacteristic
71#10622823C2211yescharacteristic
72#10622823C2211yescharacteristic
73#10622823C2211yescharacteristic
74#10622823C2211yescharacteristic
75#10622823C2211yescharacteristic
76C2×C11⋊#95C2211yescharacteristic
77C2×C11⋊#95C2211yescharacteristic
78#10622598C2211yescharacteristic, complemented
79#10622597C2211yescharacteristic, complemented
80#10622597C2211yescharacteristic, complemented
81#10622597C2211yescharacteristic, complemented
82#10622597C2211yescharacteristic, complemented
83#10622597C2211yescharacteristic, complemented
84#10622596C2211yescharacteristic, complemented
85#10622596C2211yescharacteristic, complemented
86#10622596C2211yescharacteristic, complemented
87#10622595C2211yescharacteristic, complemented
88#10622595C2211yescharacteristic, complemented
89#10622594C2211yescharacteristic, complemented
90#10622593C2211yescharacteristic, complemented
91#10622593C2211yescharacteristic, complemented
92#10622593C2211yescharacteristic, complemented
93#10622592C2211yescharacteristic, complemented
94#10622592C2211yescharacteristic, complemented
95#10622592C2211yescharacteristic, complemented
96#10622592C2211yescharacteristic, complemented
97#10622591C2211yescharacteristic, complemented
98#10622589C2211yescharacteristic, complemented
99#10622587C2211yescharacteristic, complemented
100#10622587C2211yescharacteristic, complemented
101#10622586C2211yescharacteristic, complemented
102#10622585C2211yescharacteristic, complemented
103#10622585C2211yescharacteristic, complemented
104#10622585C2211yescharacteristic, complemented
105#10622585C2211yescharacteristic, complemented
106#10622585C2211yescharacteristic, complemented
107#10622585C2211yescharacteristic, complemented
108#10622585C2211yescharacteristic, complemented
109#10622585C2211yescharacteristic, complemented
110#10622585C2211yescharacteristic, complemented
111#10622563C2211yescharacteristic
112#10622563C2211yescharacteristic
113#10622563C2211yescharacteristic
114#10622563C2211yescharacteristic
115#10622562C2211yescharacteristic
116#10622562C2211yescharacteristic
117#10622562C2211yescharacteristic
118#10622561C2211yescharacteristic
119#10622561C2211yescharacteristic
120#10622561C2211yescharacteristic
121#10622561C2211yescharacteristic
122#10622561C2211yescharacteristic
123#10622561C2211yescharacteristic
124#10622560C2211yescharacteristic
125#10622560C2211yescharacteristic
126#10622560C2211yescharacteristic
127#10622559C2211yescharacteristic
128#10622559C2211yescharacteristic
129#10622559C2211yescharacteristic
130#10622559C2211yescharacteristic
131#10622559C2211yescharacteristic
132#10622559C2211yescharacteristic
133#10622559C2211yescharacteristic
134#10622559C2211yescharacteristic
135#10622558C2211yescharacteristic
136#10622558C2211yescharacteristic
137#10622558C2211yescharacteristic
138#10622558C2211yescharacteristic
139#10622557C2211yescharacteristic
140#10622557C2211yescharacteristic
141#10622557C2211yescharacteristic
142#10622557C2211yescharacteristic
143#10622557C2211yescharacteristic
144#10622557C2211yescharacteristic
145#10622557C2211yescharacteristic
146#10622557C2211yescharacteristic
147#10622557C2211yescharacteristic
148#10622557C2211yescharacteristic
149#10622557C2211yescharacteristic
150#10622557C2211yescharacteristic
151#10622555C2211yescharacteristic
152#10622555C2211yescharacteristic
153#10622555C2211yescharacteristic
154#10622555C2211yescharacteristic
155#10622555C2211yescharacteristic
156#10622555C2211yescharacteristic
157#10622555C2211yescharacteristic
158#10622555C2211yescharacteristic
159#10622555C2211yescharacteristic
160#10622555C2211yescharacteristic
161C22⋊C4×Dic11C2211yescharacteristic
162C22⋊C4×Dic11C2211yescharacteristic
163#10622272C2211yescharacteristic, complemented
164#10622272C2211yescharacteristic, complemented
165#10622271C2211yescharacteristic, complemented
166#10622271C2211yescharacteristic, complemented
167#10622271C2211yescharacteristic, complemented
168#10622271C2211yescharacteristic, complemented
169#10622270C2211yescharacteristic, complemented
170#10622270C2211yescharacteristic, complemented
171#10622270C2211yescharacteristic, complemented
172#10622270C2211yescharacteristic, complemented
173#10622270C2211yescharacteristic, complemented
174#10622269C2211yescharacteristic, complemented
175#10622269C2211yescharacteristic, complemented
176#10622269C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622263C2211yescharacteristic, complemented
180#10622263C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C22×Dic22C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C11×C22⋊Q8—42no—
203C11×C22⋊Q8—42no—
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4—42no—
214C2×C11×C22⋊C4—42no—
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊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×C22⋊Dic11—42no—
230C2×C22⋊Dic11—42no—
231C2×C22⋊Dic11Q818yescomplemented
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
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
250#66997—42no—
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260#66977—42no—
261#66977—42no—
262C2×Dic11⋊C4—42no—
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×C4×Dic11—42no—
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306#66942—42no—
307#66942—42no—
308#66942—42no—
309#66931—42no—
310#66931—42no—
311#66931—42no—
312#66931—42no—
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
361#36750—111nomaximal, Sylow
362C24×C11—22no—
363C24×C11—22no—
364C24×C11—41no—
365C24×C11—41no—
366C24×C11—41no—
367C24×C11—41no—
368C24×C11C2×Q814yes—
369C24×C11C2411yescharacteristic
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C2×Q8×C11—22no—
373C2×Q8×C11—41no—
374C2×Q8×C11—41no—
375C22×C4×C11—22no—
376C22×C4×C11—22no—
377C22×C4×C11—22no—
378C22×C4×C11—41no—
379C22×C4×C11—41no—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—41no—
403C22×Dic11—41no—
404C22×Dic11—41no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11—41no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11—41no—
414C22×Dic11—41no—
415C22×Dic11C2×Q814yes—
416C22×Dic11C2×Q814yes—
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C2×Dic22—22no—
434C2×Dic22—41no—
435C2×Dic22—41no—
436C2×Dic22—41no—
437C2×Dic22—41no—
438C2×Dic22—41no—
439C2×Dic22—41no—
440C2×Dic22—41no—
441C2×Dic22—41no—
442C11×C4⋊C4—22no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C4⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C4⋊C4—41no—
450C11×C4⋊C4—41no—
451C11×C22⋊C4—22no—
452C11×C22⋊C4—22no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—22no—
455C11×C22⋊C4—22no—
456C11×C22⋊C4—22no—
457C11×C22⋊C4—41no—
458C11×C22⋊C4—41no—
459C11×C22⋊C4—41no—
460C11×C22⋊C4—41no—
461C11×C22⋊C4—41no—
462C11×C22⋊C4—41no—
463C11×C22⋊C4—41no—
464C11×C22⋊C4—41no—
465C22⋊Dic11—22no—
466C22⋊Dic11—22no—
467C22⋊Dic11—22no—
468C22⋊Dic11—22no—
469C22⋊Dic11—22no—
470C22⋊Dic11—22no—
471C22⋊Dic11—41no—
472C22⋊Dic11—41no—
473C22⋊Dic11—41no—
474C22⋊Dic11—41no—
475C22⋊Dic11—41no—
476C22⋊Dic11—41no—
477C22⋊Dic11—41no—
478C22⋊Dic11—41no—
479C22⋊Dic11C2×Q814yes—
480C22⋊Dic11C2×Q814yes—
481C22⋊Dic11C2×Q814yes—
482C22⋊Dic11C2×Q814yes—
483C4⋊Dic11—22no—
484C4⋊Dic11—41no—
485C4⋊Dic11—41no—
486C4⋊Dic11—41no—
487C4⋊Dic11—41no—
488C4⋊Dic11—41no—
489C4⋊Dic11—41no—
490C4⋊Dic11—41no—
491C4⋊Dic11—41no—
492Dic11⋊C4—22no—
493Dic11⋊C4—22no—
494Dic11⋊C4—22no—
495Dic11⋊C4—22no—
496Dic11⋊C4—22no—
497Dic11⋊C4—22no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—41no—
529C4×Dic11—41no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534#2857—111no—
535#2851—111no—
536#2807—111no—
537#2807—111no—
538#2788—111no—
539#2788—111no—
540#2768—111no—
541#2768—111no—
542#2763—111no—
543#2763—111no—
544#2729—111no—
545#2729—111no—
546#2720—111no—
547#2720—111no—
548#2704—111no—
549#2704—111no—
550#2704—111no—
551#2704—111no—
552#2659—111no—
553#2646—111no—
554#2549—111no—
555#2549—111no—
556#2442—111no—
557#2442—111no—
558#2437—111no—
559#2437—111no—
560#2437—111no—
561#2437D1111yescharacteristic
562#2315—111no—
563#2312—111no—
564C2×#388—111no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
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—21no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—28no—
582C23×C11—44no—
583C23×C11—44no—
584C23×C11—82no—
585C23×C11—82no—
586C23×C11—82no—
587C23×C11—82no—
588C23×C11C22×Q812yes—
589C23×C11C22×Q812yes—
590C23×C11C22×Q812yes—
591C23×C11H(5,𝔽2)12yes—
592C23×C112−1+412yes—
593C23×C11C2511yescharacteristic
594Q8×C11—82no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
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—44no—
631C2×C4×C11—82no—
632C2×C4×C11—82no—
633C2×C4×C11—82no—
634C2×C4×C11H(5,𝔽2)12yes—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
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—44no—
679C2×Dic11—44no—
680C2×Dic11—44no—
681C2×Dic11—82no—
682C2×Dic11—82no—
683C2×Dic11—82no—
684C2×Dic11C22×Q812yes—
685C2×Dic11C22×Q812yes—
686C2×Dic11C22×Q812yes—
687C2×Dic11C22×Q812yes—
688C2×Dic11H(5,𝔽2)12yes—
689Dic22—82no—
690Dic22—82no—
691Dic22—82no—
692C2×C4⋊Q8—111no—
693C2×#125—111no—
694C2×#125—111no—
695C2×#125—111no—
696C2×C22⋊Q8—111no—
697C2×C22⋊Q8—111no—
698C2×C22⋊Q8—111no—
699C2×C22⋊Q8—111no—
700C2×C22⋊Q8—111no—
701C2×C22⋊Q8—111no—
702C2×C22⋊Q8C2×D1111yescharacteristic
703C2×C22⋊Q8C2×D1111yescharacteristic
704C22×C4⋊C4—111no—
705C22×C22⋊C4—111no—
706C22×C22⋊C4—111no—
707C22×C22⋊C4—111no—
708C22×C22⋊C4C2×D1111yescharacteristic
709C22×C22⋊C4C2×D1111yescharacteristic
710C22×C42—111no—
711#400—111no—
712#400—111no—
713#400—111no—
714#400—111no—
715#400—111no—
716#400—111no—
717#400—111no—
718#400—111no—
719#399—111no—
720#399—111no—
721#399—111no—
722#399C2×D1111yescharacteristic
723#398—111no—
724#398—111no—
725#398—111no—
726#398—111no—
727#398—111no—
728#398—111no—
729#398—111no—
730#398—111no—
731#398—111no—
732#398—111no—
733#398—111no—
734#398—111no—
735#398—111no—
736#398—111no—
737#398—111no—
738#398—111no—
739#396—111no—
740#396—111no—
741#396—111no—
742#396—111no—
743#396—111no—
744#396—111no—
745#396C2×D1111yescharacteristic
746#396C2×D1111yescharacteristic
747#395—111no—
748#395—111no—
749#395—111no—
750#395—111no—
751#395—111no—
752#395—111no—
753#395—111no—
754#395—111no—
755#393—111no—
756#393—111no—
757#393—111no—
758#393C2×D1111yescharacteristic
759#391—111no—
760#391—111no—
761#391—111no—
762#391—111no—
763#391—111no—
764#391—111no—
765#389—111no—
766#389—111no—
767#389—111no—
768#389—111no—
769#389—111no—
770#389—111no—
771#389—111no—
772#389—111no—
773#389—111no—
774#389—111no—
775#389—111no—
776#389—111no—
777#389—111no—
778#389—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—111no—
793#388—111no—
794#388—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#385—111no—
800#385—111no—
801#385—111no—
802#385—111no—
803#385—111no—
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#385C2×D1111yescharacteristic
820#385C2×D1111yescharacteristic
821#385C2×D1111yescharacteristic
822#385C2×D1111yescharacteristic
823#384—111no—
824#382—111no—
825#382—111no—
826#382—111no—
827#380—111no—
828#380—111no—
829#380—111no—
830#380—111no—
831#380—111no—
832#380—111no—
833#380—111no—
834#380—111no—
835#380—111no—
836#380—111no—
837#380—111no—
838#380—111no—
839#380C2×D1111yescharacteristic
840#380C2×D1111yescharacteristic
841#379—111no—
842#379C2×D1111yescharacteristic
843C4×C22⋊C4—111no—
844C4×C22⋊C4—111no—
845C2×#95—111no—
846C2×#95—111no—
847C22×C11—22no—
848C22×C11—22no—
849C22×C11—22no—
850C22×C11—22no—
851C22×C11—22no—
852C22×C11—22no—
853C22×C11—22no—
854C22×C11—22no—
855C22×C11—22no—
856C22×C11—22no—
857C22×C11—22no—
858C22×C11—22no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11—41no—
867C22×C11—88no—
868C22×C11#54414yes—
869C22×C11C23×Q811yescharacteristic
870C22×C11C2×H(5,𝔽2)11yescharacteristic
871C22×C11C2×H(5,𝔽2)11yescharacteristic
872C22×C11C2×H(5,𝔽2)11yescharacteristic
873C22×C11C2×2−1+411yescharacteristic
874C22×C11#58511yescharacteristic
875C22×C11#58511yescharacteristic
876C4×C11—22no—
877C4×C11—41no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887C4×C11—41no—
888Dic11—22no—
889Dic11—22no—
890Dic11—22no—
891Dic11—22no—
892Dic11—22no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900Dic11—41no—
901Dic11—41no—
902Dic11—41no—
903Dic11—41no—
904C25C22×D1111yescharacteristic
905C22×Q8—111no—
906C22×Q8—111no—
907C22×Q8—111no—
908C22×Q8C22×D1111yescharacteristic
909C23×C4—111no—
910C23×C4—111no—
911C23×C4—111no—
912C23×C4—111no—
913C23×C4—111no—
914C23×C4—111no—
915C23×C4C22×D1111yescharacteristic
916C23×C4C22×D1111yescharacteristic
917C23×C4C22×D1111yescharacteristic
918C23×C4C22×D1111yescharacteristic
919C4⋊Q8—442no—
920#125—442no—
921#125—442no—
922#125—442no—
923C22⋊Q8—42no—
924C22⋊Q8—42no—
925C22⋊Q8—442no—
926C22⋊Q8—442no—
927C22⋊Q8—442no—
928C22⋊Q8—442no—
929C22⋊Q8—442no—
930C22⋊Q8—442no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
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—442no—
975C2×C4⋊C4C22×D1111yescharacteristic
976C2×C4⋊C4C22×D1111yescharacteristic
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
983C2×C4⋊C4C22×D1111yescharacteristic
984C2×C22⋊C4—42no—
985C2×C22⋊C4—42no—
986C2×C22⋊C4—118no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
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—442no—
1006C2×C22⋊C4—442no—
1007C2×C22⋊C4C22×D1111yescharacteristic
1008C2×C22⋊C4C22×D1111yescharacteristic
1009C2×C22⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4C22×D1111yescharacteristic
1011C2×C22⋊C4C22×D1111yescharacteristic
1012C2×C22⋊C4C22×D1111yescharacteristic
1013C2×C22⋊C4C22×D1111yescharacteristic
1014C2×C22⋊C4C22×D1111yescharacteristic
1015C2×C22⋊C4C22×D1111yescharacteristic
1016C2×C22⋊C4C22×D1111yescharacteristic
1017C2×C22⋊C4C22×D1111yescharacteristic
1018C2×C22⋊C4C22×D1111yescharacteristic
1019C2×C22⋊C4C22×D1111yescharacteristic
1020C2×C22⋊C4C22×D1111yescharacteristic
1021C2×C42—111no—
1022C2×C42—111no—
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—442no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
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#95C22×D1111yescharacteristic
1073#95C22×D1111yescharacteristic
1074#95C22×D1111yescharacteristic
1075#95C22×D1111yescharacteristic
1076#95C22×D1111yescharacteristic
1077#95C22×D1111yescharacteristic
1078C2×C11—24no—
1079C2×C11—42no—
1080C2×C11—42no—
1081C2×C11C2×#54411yescharacteristic
1082C2×C11#350111yescharacteristic
1083C2×C11#350111yescharacteristic
1084C2×C11#353411yescharacteristic
1085C2×C11#353611yescharacteristic
1086C2×C11#355811yescharacteristic
1087C2×C11#356411yescharacteristic
1088C24—22no—
1089C24—22no—
1090C24—41no—
1091C24—41no—
1092C24—41no—
1093C24—41no—
1094C24Q8×D1114yes—
1095C24C23×D1111yescharacteristic
1096C24C23×D1111yescharacteristic
1097C24C23×D1111yescharacteristic
1098C2×Q8—22no—
1099C2×Q8—41no—
1100C2×Q8—41no—
1101C2×Q8—222no—
1102C2×Q8—441no—
1103C2×Q8—441no—
1104C2×Q8—441no—
1105C2×Q8—441no—
1106C2×Q8—441no—
1107C2×Q8—441no—
1108C2×Q8—441no—
1109C2×Q8—441no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—114no—
1128C22×C4—114no—
1129C22×C4—111no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—111no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—111no—
1136C22×C4—111no—
1137C22×C4—111no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—222no—
1141C22×C4—222no—
1142C22×C4—222no—
1143C22×C4—441no—
1144C22×C4—441no—
1145C22×C4—441no—
1146C22×C4—441no—
1147C22×C4—441no—
1148C22×C4—441no—
1149C22×C4—441no—
1150C22×C4—441no—
1151C22×C4—441no—
1152C22×C4—441no—
1153C22×C4—441no—
1154C22×C4—441no—
1155C22×C4—441no—
1156C22×C4C23×D1111yescharacteristic
1157C22×C4C23×D1111yescharacteristic
1158C22×C4C23×D1111yescharacteristic
1159C22×C4C23×D1111yescharacteristic
1160C22×C4C23×D1111yescharacteristic
1161C22×C4C23×D1111yescharacteristic
1162C22×C4C23×D1111yescharacteristic
1163C22×C4C23×D1111yescharacteristic
1164C22×C4C23×D1111yescharacteristic
1165C22×C4C23×D1111yescharacteristic
1166C22×C4C23×D1111yescharacteristic
1167C22×C4C23×D1111yescharacteristic
1168C4⋊C4—22no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—222no—
1178C4⋊C4—222no—
1179C4⋊C4—222no—
1180C4⋊C4—222no—
1181C4⋊C4—222no—
1182C4⋊C4—222no—
1183C4⋊C4—222no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4—441no—
1189C4⋊C4—441no—
1190C4⋊C4—441no—
1191C4⋊C4—441no—
1192C4⋊C4—441no—
1193C4⋊C4—441no—
1194C4⋊C4—441no—
1195C4⋊C4—441no—
1196C4⋊C4—441no—
1197C4⋊C4—441no—
1198C4⋊C4—441no—
1199C4⋊C4—441no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C4⋊C4—441no—
1214C4⋊C4—441no—
1215C4⋊C4—441no—
1216C4⋊C4—441no—
1217C4⋊C4—441no—
1218C4⋊C4—441no—
1219C4⋊C4—441no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—114no—
1235C22⋊C4—114no—
1236C22⋊C4—114no—
1237C22⋊C4—114no—
1238C22⋊C4—222no—
1239C22⋊C4—222no—
1240C22⋊C4—222no—
1241C22⋊C4—222no—
1242C22⋊C4—222no—
1243C22⋊C4—222no—
1244C22⋊C4—441no—
1245C22⋊C4—441no—
1246C22⋊C4—441no—
1247C22⋊C4—441no—
1248C22⋊C4—441no—
1249C22⋊C4—441no—
1250C22⋊C4—441no—
1251C22⋊C4—441no—
1252C42—222no—
1253C42—222no—
1254C42—441no—
1255C42—441no—
1256C42—441no—
1257C42—441no—
1258C42—441no—
1259C42—441no—
1260C11#3675011yescharacteristic, complemented, Sylow
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—28no—
1278C23—44no—
1279C23—44no—
1280C23—82no—
1281C23—82no—
1282C23—82no—
1283C23—82no—
1284C23#6703712yes—
1285C23C2×Q8×D1112yes—
1286C23C2×Q8×D1112yes—
1287C23C2×Q8×D1112yes—
1288C23#6704312yes—
1289C23C24×D1111yescharacteristic
1290Q8—82no—
1291Q8—882no—
1292Q8—882no—
1293Q8—882no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—44no—
1330C2×C4—82no—
1331C2×C4—82no—
1332C2×C4—82no—
1333C2×C4—112no—
1334C2×C4—112no—
1335C2×C4—112no—
1336C2×C4—112no—
1337C2×C4—112no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
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—444no—
1382C2×C4—444no—
1383C2×C4—444no—
1384C2×C4—882no—
1385C2×C4—882no—
1386C2×C4—882no—
1387C2×C4#6703712yes—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—22no—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—88no—
1409C22#1062315414yes—
1410C22C2×#6703711yescharacteristic
1411C22C2×#6703711yescharacteristic
1412C22C22×Q8×D1111yescharacteristic
1413C22C2×#6704311yescharacteristic
1414C22#1062345311yescharacteristic
1415C22D11×H(5,𝔽2)11yescharacteristic
1416C22#1062345511yescharacteristic
1417C4—22no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—222no—
1430C4—222no—
1431C4—222no—
1432C4—222no—
1433C4—222no—
1434C4—441no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C4—441no—
1439C4—441no—
1440C4—441no—
1441C4—441no—
1442C4—441no—
1443C4—441no—
1444C4—441no—
1445C2—24no—
1446C2—42no—
1447C2—42no—
1448C2C2×#1062315411yescharacteristic
1449C2#1308241211yescharacteristic
1450C2#1308241611yescharacteristic
1451C2#1308279411yescharacteristic
1452C2#1308283611yescharacteristic
1453C2#1308312611yescharacteristic
1454C2#1308323211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2437C2
prime radicalC25×C11C23
hypercenter#2437D11
hypocenterC11#36750
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. #13076964C2semidirect
2. #13076922C2semidirect
3. #13076582C2semidirect
4. #13076581C2semidirect
5. #13076362C2semidirect
6. #13076355C2semidirect
7. #13076098C2semidirect
8. #13076091C2semidirect
9. #13076033C2semidirect
10. #13076028C2semidirect
11. #13075603C2semidirect
12. #13075594C2semidirect
13. #13075502C2semidirect
14. #13075499C2semidirect
15. #13075279C2semidirect
16. #13075279C2semidirect
17. #13075274C2semidirect
18. #13075270C2semidirect
19. #13074733C2semidirect
20. #13074588C2semidirect
21. #13073629C2semidirect
22. #13073624C2semidirect
23. #13072339C2semidirect
24. #13072337C2semidirect
39. C2×#66997C22semidirect
44. C2×#66942C22semidirect
45. C2×#66942C22semidirect
46. C2×#66942C22semidirect
63. #10622843C22semidirect
64. #10622843C22semidirect
65. #10622842C22semidirect
78. #10622598C22semidirect
79. #10622597C22semidirect
80. #10622597C22semidirect
81. #10622597C22semidirect
82. #10622597C22semidirect
83. #10622597C22semidirect
84. #10622596C22semidirect
85. #10622596C22semidirect
86. #10622596C22semidirect
87. #10622595C22semidirect
88. #10622595C22semidirect
89. #10622594C22semidirect
90. #10622593C22semidirect
91. #10622593C22semidirect
92. #10622593C22semidirect
93. #10622592C22semidirect
94. #10622592C22semidirect
95. #10622592C22semidirect
96. #10622592C22semidirect
97. #10622591C22semidirect
98. #10622589C22semidirect
99. #10622587C22semidirect
100. #10622587C22semidirect
101. #10622586C22semidirect
102. #10622585C22semidirect
103. #10622585C22semidirect
104. #10622585C22semidirect
105. #10622585C22semidirect
106. #10622585C22semidirect
107. #10622585C22semidirect
108. #10622585C22semidirect
109. #10622585C22semidirect
110. #10622585C22semidirect
163. #10622272C22semidirect
164. #10622272C22semidirect
165. #10622271C22semidirect
166. #10622271C22semidirect
167. #10622271C22semidirect
168. #10622271C22semidirect
169. #10622270C22semidirect
170. #10622270C22semidirect
171. #10622270C22semidirect
172. #10622270C22semidirect
173. #10622270C22semidirect
174. #10622269C22semidirect
175. #10622269C22semidirect
176. #10622269C22semidirect
177. #10622266C22semidirect
178. #10622265C22semidirect
179. #10622263C22semidirect
180. #10622263C22semidirect
181. #10622263C22semidirect
182. #10622260C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
231. C2×C22⋊Dic11Q8semidirect
1260. C11#36750semidirect

Maximal subgroups

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

subgroupindex
#130769642
#130769222
#130765822
#130765812
#130763622
#130763552
#130760982
#130760912
#130760332
#130760282
#130756032
#130755942
#130755022
#130754992
#130752792
#130752742
#130752702
#130747332
#130745882
#130736292
#130736242
#130723392
#130723372
#130722822
#130722772
#130712282
#130712122
C2×#106225572
C11×#24372
#3675011