Finite Group Databasebeta

← #14967677

Subgroups — #14967677

Order 2816.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1514 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076911C211yesmaximal, characteristic, complemented
2#13076911C211yesmaximal, characteristic, complemented
3#13076130C211yesmaximal, characteristic, complemented
4#13076053C211yesmaximal, characteristic, complemented
5#13076035C211yesmaximal, characteristic, complemented
6#13076006C211yesmaximal, characteristic, complemented
7#13075996C211yesmaximal, characteristic, complemented
8#13075994C211yesmaximal, characteristic, complemented
9#13075879C211yesmaximal, characteristic, complemented
10#13075873C211yesmaximal, characteristic, complemented
11#13075867C211yesmaximal, characteristic, complemented
12#13075861C211yesmaximal, characteristic, complemented
13#13075851C211yesmaximal, characteristic, complemented
14#13075845C211yesmaximal, characteristic, complemented
15#13075835C211yesmaximal, characteristic, complemented
16#13075756C211yesmaximal, characteristic, complemented
17#13075750C211yesmaximal, characteristic, complemented
18#13074426C211yesmaximal, characteristic, complemented
19#13074351C211yesmaximal, characteristic
20#13073006C211yesmaximal, characteristic, complemented
21#13072996C211yesmaximal, characteristic, complemented
22#13072939C211yesmaximal, characteristic, complemented
23#13072937C211yesmaximal, characteristic, complemented
24#13072174C211yesmaximal, characteristic, complemented
25#13072160C211yesmaximal, characteristic, complemented
26#13072100C211yesmaximal, characteristic, complemented
27#13072094C211yesmaximal, characteristic, complemented
28#13071278C211yesmaximal, characteristic, complemented
29#13071269C211yesmaximal, characteristic, complemented
30D11×#381C211yesmaximal, characteristic, complemented
31C11×#2765C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×#66949C2211yescharacteristic
34C2×#66948C2211yescharacteristic
35C2×#66947C2211yescharacteristic
36C2×#66947C2211yescharacteristic
37C2×#66947C2211yescharacteristic
38C2×#66947C2211yescharacteristic
39C2×#66946C2211yescharacteristic
40C2×#66935C2211yescharacteristic
41C2×#66935C2211yescharacteristic
42C2×C22⋊C4×D11C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×C4×D44C2211yescharacteristic
45C11×#401C2211yescharacteristic, complemented
46C11×#400C2211yescharacteristic, complemented
47C11×#398C2211yescharacteristic, complemented
48C11×#398C2211yescharacteristic, complemented
49C11×#397C2211yescharacteristic
50C11×#396C2211yescharacteristic
51C11×#389C2211yescharacteristic, complemented
52C11×#388C2211yescharacteristic
53C11×#388C2211yescharacteristic
54C11×#387C2211yescharacteristic, complemented
55C11×#387C2211yescharacteristic, complemented
56C11×#385C2211yescharacteristic
57C11×#385C2211yescharacteristic
58C11×#382C2211yescharacteristic, complemented
59C11×#381C2211yescharacteristic
60#10622826C2211yescharacteristic
61#10622826C2211yescharacteristic
62#10622824C2211yescharacteristic
63#10622607C2211yescharacteristic
64#10622607C2211yescharacteristic
65#10622607C2211yescharacteristic, complemented
66#10622607C2211yescharacteristic, complemented
67#10622606C2211yescharacteristic
68#10622606C2211yescharacteristic, complemented
69#10622606C2211yescharacteristic, complemented
70#10622606C2211yescharacteristic, complemented
71#10622606C2211yescharacteristic, complemented
72#10622605C2211yescharacteristic
73#10622604C2211yescharacteristic, complemented
74#10622603C2211yescharacteristic
75#10622603C2211yescharacteristic, complemented
76#10622603C2211yescharacteristic, complemented
77#10622602C2211yescharacteristic
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic, complemented
84#10622601C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622600C2211yescharacteristic, complemented
87#10622599C2211yescharacteristic, complemented
88#10622597C2211yescharacteristic, complemented
89#10622595C2211yescharacteristic, complemented
90#10622595C2211yescharacteristic, complemented
91#10622595C2211yescharacteristic, complemented
92#10622591C2211yescharacteristic, complemented
93#10622591C2211yescharacteristic, complemented
94#10622587C2211yescharacteristic, complemented
95#10622585C2211yescharacteristic, complemented
96#10622573C2211yescharacteristic
97#10622572C2211yescharacteristic
98#10622572C2211yescharacteristic
99#10622571C2211yescharacteristic
100#10622571C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622568C2211yescharacteristic
106#10622568C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622564C2211yescharacteristic
109#10622562C2211yescharacteristic
110#10622561C2211yescharacteristic
111#10622560C2211yescharacteristic
112#10622559C2211yescharacteristic
113#10622559C2211yescharacteristic
114#10622556C2211yescharacteristic
115#10622556C2211yescharacteristic
116#10622553C2211yescharacteristic
117#10622553C2211yescharacteristic, complemented
118#10622553C2211yescharacteristic, complemented
119#10622552C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121#10622546C2211yescharacteristic, complemented
122#10622546C2211yescharacteristic, complemented
123#10622288C2211yescharacteristic, complemented
124#10622288C2211yescharacteristic, complemented
125#10622287C2211yescharacteristic, complemented
126#10622287C2211yescharacteristic, complemented
127#10622286C2211yescharacteristic
128#10622286C2211yescharacteristic, complemented
129#10622286C2211yescharacteristic, complemented
130#10622285C2211yescharacteristic
131#10622285C2211yescharacteristic
132#10622285C2211yescharacteristic, complemented
133#10622284C2211yescharacteristic
134#10622283C2211yescharacteristic
135#10622282C2211yescharacteristic
136#10622282C2211yescharacteristic, complemented
137#10622282C2211yescharacteristic, complemented
138#10622281C2211yescharacteristic
139#10622281C2211yescharacteristic
140#10622281C2211yescharacteristic, complemented
141#10622280C2211yescharacteristic
142#10622280C2211yescharacteristic, complemented
143#10622279C2211yescharacteristic
144#10622278C2211yescharacteristic
145#10622278C2211yescharacteristic
146#10622278C2211yescharacteristic
147#10622278C2211yescharacteristic
148#10622278C2211yescharacteristic
149#10622278C2211yescharacteristic
150#10622278C2211yescharacteristic
151#10622278C2211yescharacteristic
152#10622278C2211yescharacteristic
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic, complemented
155#10622278C2211yescharacteristic, complemented
156#10622277C2211yescharacteristic
157#10622277C2211yescharacteristic
158#10622277C2211yescharacteristic
159#10622277C2211yescharacteristic
160#10622277C2211yescharacteristic
161#10622277C2211yescharacteristic
162#10622277C2211yescharacteristic
163#10622277C2211yescharacteristic
164#10622277C2211yescharacteristic, complemented
165#10622277C2211yescharacteristic, complemented
166D11×#95C2211yescharacteristic
167D11×#95C2211yescharacteristic
168D11×#95C2211yescharacteristic
169D11×#95C2211yescharacteristic
170C11⋊#401C2211yescharacteristic, complemented
171#10622274C2211yescharacteristic, complemented
172#10622273C2211yescharacteristic, complemented
173#10622271C2211yescharacteristic, complemented
174#10622271C2211yescharacteristic, complemented
175#10622271C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622271C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622264C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×D44C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×C4×D11—24no—
198C22×C4×D11—42no—
199C22×C4×D11—42no—
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊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×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289#66949—42no—
290#66948—42no—
291#66947—42no—
292#66947—42no—
293#66947—42no—
294#66947—42no—
295#66946—42no—
296#66935—24no—
297#66935—24no—
298C22⋊C4×D11—42no—
299C22⋊C4×D11—42no—
300C4×D44—42no—
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
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
357#36974—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C23×D11—22no—
360C23×D11—22no—
361C23×D11—41no—
362C23×D11—41no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11#4114yes—
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C23×D11C2411yescharacteristic
370C22×C4×C11—22no—
371C22×C4×C11—41no—
372C22×C4×C11—41no—
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C2×C22⋊D11—22no—
388C2×C22⋊D11—22no—
389C2×C22⋊D11—41no—
390C2×C22⋊D11—41no—
391C2×C22⋊D11—41no—
392C2×C22⋊D11—41no—
393C22×Dic11—22no—
394C22×Dic11—41no—
395C22×Dic11—41no—
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C2×D44—22no—
409C2×D44—22no—
410C2×D44—22no—
411C2×D44—22no—
412C2×D44—22no—
413C2×D44—22no—
414C2×D44—22no—
415C2×D44—22no—
416C2×D44—41no—
417C2×D44—41no—
418C2×D44—41no—
419C2×D44—41no—
420C2×D44—41no—
421C2×D44—41no—
422C2×D44—41no—
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×C4×D11—41no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—416no—
454C2×Dic22—41no—
455C2×Dic22—41no—
456C2×Dic22—41no—
457C11×C4⋊C4—41no—
458C11×C4⋊C4—41no—
459C11×C4⋊C4—41no—
460C11×C4⋊C4—41no—
461C11×C4⋊C4—41no—
462C11×C4⋊C4—41no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—41no—
470C11×C22⋊C4—41no—
471C11×C22⋊C4—41no—
472C11×C22⋊C4—41no—
473C42×C11—41no—
474C42×C11—41no—
475C22⋊Dic11—41no—
476C22⋊Dic11—41no—
477C22⋊Dic11—41no—
478C22⋊Dic11—41no—
479(C2×D11)⋊C4—22no—
480(C2×D11)⋊C4—22no—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—22no—
487(C2×D11)⋊C4—41no—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4—41no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496(C2×D11)⋊C4—41no—
497(C2×D11)⋊C4—41no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507(C2×D11)⋊C4—41no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515C4⋊Dic11—41no—
516C4⋊Dic11—41no—
517C4⋊Dic11—41no—
518C4⋊Dic11—41no—
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—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535#2849—111no—
536#2849—111no—
537#2771—111no—
538#2765—111no—
539#2765D1111yescharacteristic, complemented
540#2764—111no—
541#2761—111no—
542#2761—111no—
543#2760—111no—
544#2752—111no—
545#2751—111no—
546#2751—111no—
547#2750—111no—
548#2750—111no—
549#2749—111no—
550#2749—111no—
551#2743—111no—
552#2743—111no—
553#2626—111no—
554#2617—111no—
555#2493—111no—
556#2493—111no—
557#2488—111no—
558#2488—111no—
559#2425—111no—
560#2425—111no—
561#2419—111no—
562#2419—111no—
563#2321—111no—
564#2321—111no—
565C2×#381—111no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11C2×#4112yes—
573C23×C11C2511yescharacteristic
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—28no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—44no—
600C22×D11—44no—
601C22×D11—44no—
602C22×D11—44no—
603C22×D11—44no—
604C22×D11—44no—
605C22×D11C2×#4112yes—
606C22×D11C2×#4112yes—
607C22×D11H(5,𝔽2)12yes—
608C22×D11H(5,𝔽2)12yes—
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—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—44no—
652C22⋊D11—82no—
653C22⋊D11—82no—
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—44no—
691D44—44no—
692D44—44no—
693D44—82no—
694D44—82no—
695D44—82no—
696C4×D11—44no—
697C4×D11—44no—
698C4×D11—44no—
699C4×D11—44no—
700C4×D11—82no—
701C4×D11—82no—
702C4×D11—82no—
703C4×D11—82no—
704C4×D11—82no—
705C4×D11—82no—
706Dic22—82no—
707C24×C4—111no—
708C2×#123—111no—
709C2×#123—111no—
710C2×#123—111no—
711C2×#123—111no—
712C2×C22⋊Q8—111no—
713C2×#121—111no—
714C2×#120—111no—
715C2×#120—111no—
716C2×C4×D4—111no—
717C2×C4×D4—111no—
718C22×C22⋊C4—111no—
719C22×C22⋊C4—111no—
720#401—111no—
721#401C2×D1111yescharacteristic, complemented
722#400—111no—
723#400—111no—
724#400—111no—
725#400—111no—
726#400—111no—
727#400—111no—
728#400—111no—
729#400—111no—
730#400—111no—
731#400—111no—
732#400—111no—
733#400C2×D1111yescharacteristic, complemented
734#399—111no—
735#399—111no—
736#398—111no—
737#398—111no—
738#398C2×D1111yescharacteristic, complemented
739#398C2×D1111yescharacteristic, complemented
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#397—111no—
749#397C2×D1111yescharacteristic
750#396—111no—
751#396—111no—
752#396—111no—
753#396—111no—
754#396—111no—
755#396C2×D1111yescharacteristic
756#394—111no—
757#394—111no—
758#394—111no—
759#394—111no—
760#394—111no—
761#394—111no—
762#393—111no—
763#393—111no—
764#393—111no—
765#393—111no—
766#392—111no—
767#392—111no—
768#391—111no—
769#391—111no—
770#390—111no—
771#390—111no—
772#390—111no—
773#390—111no—
774#389—111no—
775#389C2×D1111yescharacteristic, complemented
776#388—111no—
777#388—111no—
778#388—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#388C2×D1111yescharacteristic
789#388C2×D1111yescharacteristic
790#387—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387C2×D1111yescharacteristic, complemented
799#387C2×D1111yescharacteristic, complemented
800#386—111no—
801#386—111no—
802#386—111no—
803#386—111no—
804#386—111no—
805#386—111no—
806#386—111no—
807#386—111no—
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—111no—
813#386—111no—
814#386—111no—
815#386—111no—
816#386—111no—
817#386—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#385—111no—
823#385—111no—
824#385—111no—
825#385—111no—
826#385—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385C2×D1111yescharacteristic
831#385C2×D1111yescharacteristic
832#383—111no—
833#383—111no—
834#382—111no—
835#382C2×D1111yescharacteristic, complemented
836#381—111no—
837#381—111no—
838#381—111no—
839#381—111no—
840#381—111no—
841#381—111no—
842#381—111no—
843#381—111no—
844#381—111no—
845#381—111no—
846#381—111no—
847#381—111no—
848#381—111no—
849#381C2×D1111yescharacteristic
850#380—111no—
851#380—111no—
852#380—111no—
853#380—111no—
854#379—111no—
855#379—111no—
856C4×C22⋊C4—111no—
857C4×C22⋊C4—111no—
858C2×#95—111no—
859C2×#95—111no—
860C2×#95—111no—
861C2×#95—111no—
862C22×C11—22no—
863C22×C11—22no—
864C22×C11—22no—
865C22×C11—41no—
866C22×C11—41no—
867C22×C11—41no—
868C22×C11—41no—
869C22×C11C22×#4111yescharacteristic
870C22×C11C2×H(5,𝔽2)11yescharacteristic
871C22×C11C2×H(5,𝔽2)11yescharacteristic
872C22×C11#58511yescharacteristic
873C22×C11#58511yescharacteristic
874C22×C11#58511yescharacteristic
875C22×C11#58511yescharacteristic
876C2×D11—22no—
877C2×D11—22no—
878C2×D11—22no—
879C2×D11—22no—
880C2×D11—22no—
881C2×D11—22no—
882C2×D11—22no—
883C2×D11—22no—
884C2×D11—22no—
885C2×D11—416no—
886C2×D11—41no—
887C2×D11—41no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11—41no—
893C2×D11—41no—
894C2×D11—41no—
895C2×D11—41no—
896C2×D11—41no—
897C2×D11—41no—
898C2×D11—41no—
899C2×D11—41no—
900C2×D11—41no—
901C2×D11—41no—
902C2×D11—41no—
903C2×D11—41no—
904C2×D11#53814yes—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11—41no—
909C4×C11—41no—
910C4×C11—41no—
911C4×C11—41no—
912C4×C11—41no—
913C4×C11—41no—
914C4×C11—41no—
915C4×C11—41no—
916C4×C11—41no—
917C4×C11—41no—
918C4×C11—41no—
919Dic11—41no—
920Dic11—41no—
921Dic11—41no—
922Dic11—41no—
923Dic11—41no—
924Dic11—41no—
925Dic11—41no—
926Dic11—41no—
927Dic11—41no—
928Dic11—41no—
929Dic11—41no—
930Dic11—41no—
931C25—111no—
932C22×Q8—111no—
933C22×D4—111no—
934C22×D4—111no—
935C22×D4—111no—
936C22×D4—111no—
937C22×D4—111no—
938C22×D4—111no—
939C22×D4—111no—
940C23×C4—111no—
941C23×C4—111no—
942C23×C4—111no—
943C23×C4—111no—
944C23×C4—111no—
945C23×C4—111no—
946C23×C4—111no—
947C23×C4—111no—
948C23×C4—111no—
949C23×C4—111no—
950C23×C4—111no—
951C23×C4—224no—
952C23×C4—442no—
953C23×C4—442no—
954C23×C4C22×D1111yescharacteristic
955#123—442no—
956#123—442no—
957#123—442no—
958#123—442no—
959C22⋊Q8—442no—
960#121—442no—
961#120—224no—
962#120—224no—
963C4×D4—442no—
964C4×D4—442no—
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⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
983C2×C4⋊C4C22×D1111yescharacteristic
984C2×C4⋊C4C22×D1111yescharacteristic
985C2×C4⋊C4C22×D1111yescharacteristic
986C2×C4⋊C4C22×D1111yescharacteristic
987C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—442no—
1032C2×C22⋊C4—442no—
1033C2×C22⋊C4C22×D1111yescharacteristic
1034C2×C22⋊C4C22×D1111yescharacteristic
1035C2×C22⋊C4C22×D1111yescharacteristic
1036C2×C22⋊C4C22×D1111yescharacteristic
1037C2×C22⋊C4C22×D1111yescharacteristic
1038C2×C22⋊C4C22×D1111yescharacteristic
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—111no—
1043C2×C42C22×D1111yescharacteristic
1044C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095#95C22×D1111yescharacteristic
1096#95C22×D1111yescharacteristic
1097#95C22×D1111yescharacteristic
1098#95C22×D1111yescharacteristic
1099#95C22×D1111yescharacteristic
1100#95C22×D1111yescharacteristic
1101C2×C11—42no—
1102C2×C11C2×#53811yescharacteristic
1103C2×C11#349111yescharacteristic
1104C2×C11#349111yescharacteristic
1105C2×C11#353311yescharacteristic
1106C2×C11#353311yescharacteristic
1107C2×C11#353311yescharacteristic
1108C2×C11#353311yescharacteristic
1109D11—24no—
1110D11—42no—
1111D11—81no—
1112D11—81no—
1113C24—111no—
1114C24—111no—
1115C24—114no—
1116C24—111no—
1117C24—111no—
1118C24—222no—
1119C24—222no—
1120C24—441no—
1121C24—441no—
1122C24—441no—
1123C24—441no—
1124C24C23×D1111yescharacteristic
1125C2×Q8—441no—
1126C2×Q8—441no—
1127C2×Q8—441no—
1128C2×D4—222no—
1129C2×D4—222no—
1130C2×D4—222no—
1131C2×D4—222no—
1132C2×D4—222no—
1133C2×D4—222no—
1134C2×D4—222no—
1135C2×D4—222no—
1136C2×D4—222no—
1137C2×D4—222no—
1138C2×D4—441no—
1139C2×D4—441no—
1140C2×D4—441no—
1141C2×D4—441no—
1142C2×D4—441no—
1143C2×D4—441no—
1144C2×D4—441no—
1145C2×D4—441no—
1146C2×D4—441no—
1147C2×D4—441no—
1148C2×D4—441no—
1149C22×C4—22no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—111no—
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—222no—
1165C22×C4—222no—
1166C22×C4—222no—
1167C22×C4—222no—
1168C22×C4—222no—
1169C22×C4—222no—
1170C22×C4—222no—
1171C22×C4—222no—
1172C22×C4—222no—
1173C22×C4—222no—
1174C22×C4—222no—
1175C22×C4—222no—
1176C22×C4—222no—
1177C22×C4—441no—
1178C22×C4—441no—
1179C22×C4—441no—
1180C22×C4—441no—
1181C22×C4—441no—
1182C22×C4—441no—
1183C22×C4—441no—
1184C22×C4—441no—
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—4416no—
1196C22×C4—441no—
1197C22×C4—441no—
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
1207C22×C4C23×D1111yescharacteristic
1208C22×C4C23×D1111yescharacteristic
1209C22×C4C23×D1111yescharacteristic
1210C22×C4C23×D1111yescharacteristic
1211C22×C4C23×D1111yescharacteristic
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
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—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—222no—
1245C22⋊C4—222no—
1246C22⋊C4—222no—
1247C22⋊C4—222no—
1248C22⋊C4—222no—
1249C22⋊C4—222no—
1250C22⋊C4—222no—
1251C22⋊C4—222no—
1252C22⋊C4—441no—
1253C22⋊C4—441no—
1254C22⋊C4—441no—
1255C22⋊C4—441no—
1256C22⋊C4—441no—
1257C22⋊C4—441no—
1258C22⋊C4—441no—
1259C22⋊C4—441no—
1260C22⋊C4—441no—
1261C22⋊C4—441no—
1262C22⋊C4—441no—
1263C22⋊C4—441no—
1264C22⋊C4—441no—
1265C22⋊C4—441no—
1266C22⋊C4—441no—
1267C22⋊C4—441no—
1268C22⋊C4—441no—
1269C22⋊C4—441no—
1270C22⋊C4—441no—
1271C22⋊C4—441no—
1272C22⋊C4—441no—
1273C22⋊C4—441no—
1274C22⋊C4—441no—
1275C22⋊C4—441no—
1276C22⋊C4—441no—
1277C22⋊C4—441no—
1278C22⋊C4—441no—
1279C22⋊C4—441no—
1280C22⋊C4—441no—
1281C22⋊C4—441no—
1282C22⋊C4—441no—
1283C22⋊C4—441no—
1284C42—41no—
1285C42—41no—
1286C42—441no—
1287C42—441no—
1288C42—441no—
1289C42—441no—
1290C11#3697411yescharacteristic, complemented, Sylow
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—112no—
1298C23—112no—
1299C23—112no—
1300C23—112no—
1301C23—228no—
1302C23—221no—
1303C23—221no—
1304C23—221no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—221no—
1312C23—221no—
1313C23—221no—
1314C23—221no—
1315C23—221no—
1316C23—221no—
1317C23—221no—
1318C23—221no—
1319C23—221no—
1320C23—221no—
1321C23—221no—
1322C23—221no—
1323C23—221no—
1324C23—221no—
1325C23—221no—
1326C23—444no—
1327C23—444no—
1328C23—444no—
1329C23—444no—
1330C23—444no—
1331C23—444no—
1332C23#41×D1112yes—
1333C23C24×D1111yescharacteristic
1334Q8—882no—
1335D4—444no—
1336D4—444no—
1337D4—882no—
1338D4—882no—
1339D4—882no—
1340D4—882no—
1341D4—882no—
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—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—44no—
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—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—444no—
1422C2×C4—444no—
1423C2×C4—444no—
1424C2×C4—444no—
1425C2×C4—444no—
1426C2×C4—882no—
1427C2×C4—882no—
1428C2×C4—882no—
1429C2×C4—882no—
1430C2×C4—882no—
1431C2×C4—882no—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—114no—
1440C22—222no—
1441C22—222no—
1442C22—222no—
1443C22—222no—
1444C22—222no—
1445C22—222no—
1446C22—222no—
1447C22—222no—
1448C22—222no—
1449C22—4416no—
1450C22—441no—
1451C22—441no—
1452C22—441no—
1453C22—441no—
1454C22—441no—
1455C22—441no—
1456C22—441no—
1457C22—441no—
1458C22—441no—
1459C22—441no—
1460C22—441no—
1461C22—441no—
1462C22—441no—
1463C22—441no—
1464C22—441no—
1465C22—441no—
1466C22—441no—
1467C22—441no—
1468C22C2×#41×D1111yescharacteristic
1469C22#1062345311yescharacteristic
1470C22#1062345311yescharacteristic
1471C22D11×H(5,𝔽2)11yescharacteristic
1472C22D11×H(5,𝔽2)11yescharacteristic
1473C22#1062345711yescharacteristic
1474C22#1062345711yescharacteristic
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—441no—
1490C4—441no—
1491C4—441no—
1492C4—441no—
1493C4—441no—
1494C4—441no—
1495C4—441no—
1496C4—441no—
1497C4—441no—
1498C4—441no—
1499C4—441no—
1500C4—441no—
1501C2—42no—
1502C2—224no—
1503C2—442no—
1504C2—881no—
1505C2—881no—
1506C2D11×#53811yescharacteristic
1507C2#1308231111yescharacteristic
1508C2#1308231111yescharacteristic
1509C2#1308277411yescharacteristic
1510C2#1308277911yescharacteristic
1511C2#1308279111yescharacteristic
1512C2#1308279211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2765C2
prime radical#13074351C2
hypercenter#2765D11
hypocenterC11#36974
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2765

Complements

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

NH ≅ G/Ntype
1. #13076911C2semidirect
2. #13076911C2semidirect
3. #13076130C2semidirect
4. #13076053C2semidirect
5. #13076035C2semidirect
6. #13076006C2semidirect
7. #13075996C2semidirect
8. #13075994C2semidirect
9. #13075879C2semidirect
10. #13075873C2semidirect
11. #13075867C2semidirect
12. #13075861C2semidirect
13. #13075851C2semidirect
14. #13075845C2semidirect
15. #13075835C2semidirect
16. #13075756C2semidirect
17. #13075750C2semidirect
18. #13074426C2semidirect
20. #13073006C2semidirect
21. #13072996C2semidirect
22. #13072939C2semidirect
23. #13072937C2semidirect
24. #13072174C2semidirect
25. #13072160C2semidirect
26. #13072100C2semidirect
27. #13072094C2semidirect
28. #13071278C2semidirect
29. #13071269C2semidirect
30. D11×#381C2semidirect
31. C11×#2765C2semidirect
45. C11×#401C22semidirect
46. C11×#400C22semidirect
47. C11×#398C22semidirect
48. C11×#398C22semidirect
51. C11×#389C22semidirect
54. C11×#387C22semidirect
55. C11×#387C22semidirect
58. C11×#382C22semidirect
65. #10622607C22semidirect
66. #10622607C22semidirect
68. #10622606C22semidirect
69. #10622606C22semidirect
70. #10622606C22semidirect
71. #10622606C22semidirect
73. #10622604C22semidirect
75. #10622603C22semidirect
76. #10622603C22semidirect
83. #10622602C22semidirect
86. #10622600C22semidirect
87. #10622599C22semidirect
88. #10622597C22semidirect
89. #10622595C22semidirect
90. #10622595C22semidirect
91. #10622595C22semidirect
92. #10622591C22semidirect
93. #10622591C22semidirect
94. #10622587C22semidirect
95. #10622585C22semidirect
117. #10622553C22semidirect
118. #10622553C22semidirect
121. #10622546C22semidirect
122. #10622546C22semidirect
123. #10622288C22semidirect
124. #10622288C22semidirect
125. #10622287C22semidirect
126. #10622287C22semidirect
128. #10622286C22semidirect
129. #10622286C22semidirect
132. #10622285C22semidirect
136. #10622282C22semidirect
137. #10622282C22semidirect
140. #10622281C22semidirect
142. #10622280C22semidirect
154. #10622278C22semidirect
155. #10622278C22semidirect
164. #10622277C22semidirect
165. #10622277C22semidirect
170. C11⋊#401C22semidirect
171. #10622274C22semidirect
172. #10622273C22semidirect
173. #10622271C22semidirect
174. #10622271C22semidirect
175. #10622271C22semidirect
176. #10622271C22semidirect
177. #10622271C22semidirect
178. #10622271C22semidirect
179. #10622268C22semidirect
180. #10622267C22semidirect
181. #10622266C22semidirect
182. #10622266C22semidirect
183. #10622264C22semidirect
184. #10622264C22semidirect
185. #10622263C22semidirect
186. #10622259C22semidirect
539. #2765D11semidirect
721. #401C2×D11semidirect
733. #400C2×D11semidirect
738. #398C2×D11semidirect
739. #398C2×D11semidirect
775. #389C2×D11semidirect
798. #387C2×D11semidirect
799. #387C2×D11semidirect
835. #382C2×D11semidirect
1290. C11#36974semidirect

Maximal subgroups

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

subgroupindex
#130769112
#130761302
#130760532
#130760352
#130760062
#130759962
#130759942
#130758792
#130758732
#130758672
#130758612
#130758512
#130758452
#130758352
#130757562
#130757502
#130744262
#130743512
#130730062
#130729962
#130729392
#130729372
#130721742
#130721602
#130721002
#130720942
#130712782
#130712692
D11×#3812
C11×#27652
#3697411