Finite Group Databasebeta

← #14967706

Subgroups — #14967706

Order 2816.

1810 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076949C211yesmaximal, characteristic, complemented
2#13076943C211yesmaximal, characteristic, complemented
3#13076160C211yesmaximal, characteristic, complemented
4#13076159C211yesmaximal, characteristic, complemented
5#13076156C211yesmaximal, characteristic, complemented
6#13076099C211yesmaximal, characteristic, complemented
7#13076098C211yesmaximal, characteristic, complemented
8#13076095C211yesmaximal, characteristic, complemented
9#13076090C211yesmaximal, characteristic, complemented
10#13075900C211yesmaximal, characteristic, complemented
11#13075899C211yesmaximal, characteristic, complemented
12#13075891C211yesmaximal, characteristic, complemented
13#13075888C211yesmaximal, characteristic, complemented
14#13075303C211yesmaximal, characteristic, complemented
15#13075302C211yesmaximal, characteristic, complemented
16#13075301C211yesmaximal, characteristic, complemented
17#13075297C211yesmaximal, characteristic, complemented
18#13074719C211yesmaximal, characteristic
19#13074587C211yesmaximal, characteristic, complemented
20#13072356C211yesmaximal, characteristic, complemented
21#13072356C211yesmaximal, characteristic, complemented
22#13072354C211yesmaximal, characteristic, complemented
23#13072346C211yesmaximal, characteristic, complemented
24#13072174C211yesmaximal, characteristic, complemented
25#13072172C211yesmaximal, characteristic, complemented
26#13072170C211yesmaximal, characteristic, complemented
27#13072160C211yesmaximal, characteristic, complemented
28#13071320C211yesmaximal, characteristic, complemented
29#13071315C211yesmaximal, characteristic, complemented
30D11×#382C211yesmaximal, characteristic, complemented
31C11×#2773C211yesmaximal, characteristic, complemented
32C2×#66948C2211yescharacteristic
33C2×#66948C2211yescharacteristic
34C2×#66948C2211yescharacteristic
35C2×#66947C2211yescharacteristic
36C2×#66947C2211yescharacteristic
37C2×#66947C2211yescharacteristic
38C2×#66947C2211yescharacteristic
39C2×#66947C2211yescharacteristic
40C2×#66946C2211yescharacteristic
41C2×C4⋊C4×D11C2211yescharacteristic
42C2×C4⋊C4×D11C2211yescharacteristic
43C2×#66939C2211yescharacteristic
44C2×#66937C2211yescharacteristic
45C2×#66937C2211yescharacteristic
46C2×#66937C2211yescharacteristic
47C2×#66936C2211yescharacteristic
48C2×#66936C2211yescharacteristic
49C2×(C22⋊D11)⋊C4C2211yescharacteristic
50C2×C4×D44C2211yescharacteristic
51C2×C4×D44C2211yescharacteristic
52C2×C42×D11C2211yescharacteristic
53C11×#400C2211yescharacteristic
54C11×#399C2211yescharacteristic
55C11×#399C2211yescharacteristic
56C11×#398C2211yescharacteristic
57C11×#397C2211yescharacteristic
58C11×#397C2211yescharacteristic
59C11×#389C2211yescharacteristic
60C11×#389C2211yescharacteristic
61C11×#388C2211yescharacteristic
62C11×#388C2211yescharacteristic
63C11×#388C2211yescharacteristic
64C11×#387C2211yescharacteristic
65C11×#387C2211yescharacteristic
66C11×#387C2211yescharacteristic
67C11×#382C2211yescharacteristic
68#10622607C2211yescharacteristic
69#10622607C2211yescharacteristic
70#10622606C2211yescharacteristic
71#10622606C2211yescharacteristic
72#10622605C2211yescharacteristic
73#10622605C2211yescharacteristic
74#10622605C2211yescharacteristic
75#10622605C2211yescharacteristic
76#10622604C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622603C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622601C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622600C2211yescharacteristic
87#10622599C2211yescharacteristic
88#10622597C2211yescharacteristic
89#10622597C2211yescharacteristic
90#10622597C2211yescharacteristic
91#10622596C2211yescharacteristic
92#10622596C2211yescharacteristic
93#10622594C2211yescharacteristic
94#10622593C2211yescharacteristic
95#10622590C2211yescharacteristic
96#10622590C2211yescharacteristic
97#10622586C2211yescharacteristic
98#10622586C2211yescharacteristic
99#10622585C2211yescharacteristic
100#10622585C2211yescharacteristic
101#10622574C2211yescharacteristic
102#10622574C2211yescharacteristic
103#10622573C2211yescharacteristic
104#10622573C2211yescharacteristic
105#10622573C2211yescharacteristic
106#10622572C2211yescharacteristic
107#10622572C2211yescharacteristic
108#10622571C2211yescharacteristic
109#10622571C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622570C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622563C2211yescharacteristic
117#10622561C2211yescharacteristic
118#10622559C2211yescharacteristic
119#10622557C2211yescharacteristic
120#10622557C2211yescharacteristic
121#10622555C2211yescharacteristic
122#10622553C2211yescharacteristic
123#10622553C2211yescharacteristic
124#10622553C2211yescharacteristic
125#10622553C2211yescharacteristic
126#10622553C2211yescharacteristic
127#10622552C2211yescharacteristic
128#10622549C2211yescharacteristic
129#10622546C2211yescharacteristic
130#10622541C2211yescharacteristic
131#10622290C2211yescharacteristic
132#10622290C2211yescharacteristic
133#10622289C2211yescharacteristic
134#10622288C2211yescharacteristic
135#10622287C2211yescharacteristic
136#10622287C2211yescharacteristic
137#10622287C2211yescharacteristic
138#10622285C2211yescharacteristic
139#10622285C2211yescharacteristic
140#10622285C2211yescharacteristic
141#10622284C2211yescharacteristic
142#10622283C2211yescharacteristic
143#10622283C2211yescharacteristic
144#10622282C2211yescharacteristic
145#10622282C2211yescharacteristic
146#10622282C2211yescharacteristic
147#10622282C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622280C2211yescharacteristic
156#10622280C2211yescharacteristic
157#10622280C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168D11×#95C2211yescharacteristic
169D11×#95C2211yescharacteristic
170D11×#95C2211yescharacteristic
171D11×#95C2211yescharacteristic
172#10622274C2211yescharacteristic
173#10622272C2211yescharacteristic
174#10622271C2211yescharacteristic
175#10622270C2211yescharacteristic
176#10622270C2211yescharacteristic
177#10622270C2211yescharacteristic
178#10622270C2211yescharacteristic
179#10622268C2211yescharacteristic
180#10622267C2211yescharacteristic
181#10622266C2211yescharacteristic
182#10622263C2211yescharacteristic
183#10622263C2211yescharacteristic
184#10622263C2211yescharacteristic
185#10622263C2211yescharacteristic
186#10622260C2211yescharacteristic
187C22×C22⋊D11C2311yescharacteristic
188C22×C22⋊D11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×D44C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×D44C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
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×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×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
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×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298#66948—24no—
299#66948—42no—
300#66948—42no—
301#66947—42no—
302#66947—42no—
303#66947—42no—
304#66947—42no—
305#66947—42no—
306#66946—42no—
307C4⋊C4×D11—42no—
308C4⋊C4×D11—42no—
309#66939—42no—
310#66937—24no—
311#66937—42no—
312#66937—42no—
313#66936—42no—
314#66936—42no—
315(C22⋊D11)⋊C4—42no—
316C4×D44—42no—
317C4×D44—42no—
318C42×D11—24no—
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#36976—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
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
383C2×C22⋊D11—22no—
384C2×C22⋊D11—22no—
385C2×C22⋊D11—22no—
386C2×C22⋊D11—22no—
387C2×C22⋊D11—41no—
388C2×C22⋊D11—41no—
389C2×C22⋊D11—41no—
390C2×C22⋊D11—41no—
391C2×C22⋊D11—41no—
392C2×C22⋊D11—41no—
393C2×C22⋊D11—41no—
394C2×C22⋊D11—41no—
395C22×Dic11—41no—
396C22×Dic11—41no—
397C22×Dic11—41no—
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C2×D44—22no—
411C2×D44—22no—
412C2×D44—22no—
413C2×D44—22no—
414C2×D44—22no—
415C2×D44—22no—
416C2×D44—22no—
417C2×D44—22no—
418C2×D44—22no—
419C2×D44—22no—
420C2×D44—41no—
421C2×D44—41no—
422C2×D44—41no—
423C2×D44—41no—
424C2×D44—41no—
425C2×D44—41no—
426C2×D44—41no—
427C2×D44—41no—
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—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
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—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11#4114yes—
458C11×C4⋊C4—22no—
459C11×C4⋊C4—22no—
460C11×C4⋊C4—22no—
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×C4⋊C4—41no—
468C11×C4⋊C4—41no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—22no—
471C11×C22⋊C4—41no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C42×C11—22no—
477C42×C11—41no—
478C42×C11—41no—
479C22⋊Dic11—22no—
480C22⋊Dic11—41no—
481C22⋊Dic11—41no—
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—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
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—
515(C2×D11)⋊C4—41no—
516C4⋊Dic11—22no—
517C4⋊Dic11—22no—
518C4⋊Dic11—41no—
519C4⋊Dic11—41no—
520C4⋊Dic11—41no—
521C4⋊Dic11—41no—
522C4⋊Dic11—41no—
523C4⋊Dic11—41no—
524C4⋊Dic11—41no—
525Dic11⋊C4—22no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4—41no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543C4×Dic11—22no—
544C4×Dic11—22no—
545C4×Dic11—22no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548#2854—111no—
549#2854—111no—
550#2773—111no—
551#2773—111no—
552#2773—111no—
553#2773D1111yescharacteristic, complemented
554#2768—111no—
555#2768—111no—
556#2768—111no—
557#2768—111no—
558#2753—111no—
559#2753—111no—
560#2753—111no—
561#2753—111no—
562#2706—111no—
563#2706—111no—
564#2706—111no—
565#2706—111no—
566#2656—111no—
567#2646—111no—
568#2443—111no—
569#2443—111no—
570#2443—111no—
571#2443—111no—
572#2425—111no—
573#2425—111no—
574#2425—111no—
575#2425—111no—
576#2325—111no—
577#2325—111no—
578C2×#382—111no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11C2511yescharacteristic
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—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11C2×#4112yes—
613C22×D11H(5,𝔽2)12yes—
614C22×D11H(5,𝔽2)12yes—
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—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11C2×#4112yes—
656C2×C4×C11H(5,𝔽2)12yes—
657C22⋊D11—44no—
658C22⋊D11—82no—
659C22⋊D11—82no—
660C22⋊D11—82no—
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—82no—
696C2×Dic11C2×#4112yes—
697C2×Dic112−1+412yes—
698D44—44no—
699D44—44no—
700D44—44no—
701D44—82no—
702D44—82no—
703D44—82no—
704C4×D11—28no—
705C4×D11—44no—
706C4×D11—44no—
707C4×D11—82no—
708C4×D11—82no—
709C4×D11—82no—
710C4×D11—82no—
711C4×D11—82no—
712C4×D11—82no—
713C4×D11—82no—
714C2×#123—111no—
715C2×#123—111no—
716C2×#123—111no—
717C2×#123—111no—
718C2×#123—111no—
719C2×#123—111no—
720C2×#123—111no—
721C2×#123—111no—
722C2×#121—111no—
723C2×#121—111no—
724C2×#121—111no—
725C2×#121—111no—
726C2×#121—111no—
727C2×#121—111no—
728C2×C4×D4—111no—
729C2×C4×D4—111no—
730C2×C4×D4—111no—
731C2×C4×D4—111no—
732C22×C4⋊C4—111no—
733C22×C4⋊C4—111no—
734C22×C42—111no—
735#400—111no—
736#400—111no—
737#400—111no—
738#400C2×D1111yescharacteristic
739#399—111no—
740#399—111no—
741#399—111no—
742#399—111no—
743#399—111no—
744#399—111no—
745#399C2×D1111yescharacteristic
746#399C2×D1111yescharacteristic
747#398—111no—
748#398—111no—
749#398—111no—
750#398—111no—
751#398—111no—
752#398—111no—
753#398—111no—
754#398—111no—
755#398—111no—
756#398—111no—
757#398—111no—
758#398C2×D1111yescharacteristic
759#397—111no—
760#397—111no—
761#397—111no—
762#397—111no—
763#397—111no—
764#397—111no—
765#397C2×D1111yescharacteristic
766#397C2×D1111yescharacteristic
767#396—111no—
768#396—111no—
769#396—111no—
770#396—111no—
771#394—111no—
772#394—111no—
773#394—111no—
774#394—111no—
775#394—111no—
776#394—111no—
777#394—111no—
778#394—111no—
779#392—111no—
780#392—111no—
781#392—111no—
782#392—111no—
783#390—111no—
784#390—111no—
785#390—111no—
786#390—111no—
787#389—111no—
788#389—111no—
789#389—111no—
790#389—111no—
791#389—111no—
792#389—111no—
793#389C2×D1111yescharacteristic
794#389C2×D1111yescharacteristic
795#388—111no—
796#388—111no—
797#388—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388C2×D1111yescharacteristic
813#388C2×D1111yescharacteristic
814#388C2×D1111yescharacteristic
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387C2×D1111yescharacteristic
821#387C2×D1111yescharacteristic
822#387C2×D1111yescharacteristic
823#386—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#385—111no—
840#385—111no—
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385—111no—
850#385—111no—
851#382—111no—
852#382—111no—
853#382—111no—
854#382—111no—
855#382—111no—
856#382—111no—
857#382—111no—
858#382C2×D1111yescharacteristic
859#380—111no—
860#380—111no—
861#380—111no—
862#380—111no—
863#380—111no—
864#380—111no—
865C2×#95—111no—
866C2×#95—111no—
867C2×#95—111no—
868C2×#95—111no—
869C22×C11—41no—
870C22×C11—41no—
871C22×C11—41no—
872C22×C11—41no—
873C22×C11—41no—
874C22×C11—41no—
875C22×C11—41no—
876C22×C11C22×#4111yescharacteristic
877C22×C11C2×H(5,𝔽2)11yescharacteristic
878C22×C11C2×H(5,𝔽2)11yescharacteristic
879C22×C11C2×H(5,𝔽2)11yescharacteristic
880C22×C11C2×2−1+411yescharacteristic
881C22×C11#58511yescharacteristic
882C22×C11#58511yescharacteristic
883C2×D11—22no—
884C2×D11—22no—
885C2×D11—22no—
886C2×D11—22no—
887C2×D11—22no—
888C2×D11—22no—
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—41no—
905C2×D11—41no—
906C2×D11—41no—
907C2×D11—41no—
908C2×D11—41no—
909C2×D11—41no—
910C2×D11#54014yes—
911C4×C11—22no—
912C4×C11—22no—
913C4×C11—41no—
914C4×C11—41no—
915C4×C11—41no—
916C4×C11—41no—
917C4×C11—41no—
918C4×C11—41no—
919C4×C11—41no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925Dic11—22no—
926Dic11—22no—
927Dic11—41no—
928Dic11—41no—
929Dic11—41no—
930Dic11—41no—
931Dic11—41no—
932Dic11—41no—
933Dic11—41no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937C22×D4—111no—
938C22×D4—111no—
939C22×D4—111no—
940C22×D4—111no—
941C22×D4—111no—
942C22×D4—111no—
943C22×D4—111no—
944C22×D4—111no—
945C22×D4—111no—
946C22×D4—111no—
947C23×C4—111no—
948C23×C4—111no—
949C23×C4—111no—
950C23×C4—111no—
951C23×C4—111no—
952C23×C4—111no—
953C23×C4—111no—
954C23×C4—111no—
955C23×C4—111no—
956C23×C4—111no—
957C23×C4—111no—
958#123—442no—
959#123—442no—
960#123—442no—
961#123—442no—
962#123—442no—
963#123—442no—
964#123—442no—
965#123—442no—
966#121—224no—
967#121—224no—
968#121—442no—
969#121—442no—
970#121—442no—
971#121—442no—
972C4×D4—442no—
973C4×D4—442no—
974C4×D4—442no—
975C4×D4—442no—
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—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—442no—
1004C2×C4⋊C4—442no—
1005C2×C4⋊C4C22×D1111yescharacteristic
1006C2×C4⋊C4C22×D1111yescharacteristic
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C4⋊C4C22×D1111yescharacteristic
1011C2×C4⋊C4C22×D1111yescharacteristic
1012C2×C4⋊C4C22×D1111yescharacteristic
1013C2×C4⋊C4C22×D1111yescharacteristic
1014C2×C4⋊C4C22×D1111yescharacteristic
1015C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4C22×D1111yescharacteristic
1054C2×C22⋊C4C22×D1111yescharacteristic
1055C2×C22⋊C4C22×D1111yescharacteristic
1056C2×C22⋊C4C22×D1111yescharacteristic
1057C2×C22⋊C4C22×D1111yescharacteristic
1058C2×C22⋊C4C22×D1111yescharacteristic
1059C2×C22⋊C4C22×D1111yescharacteristic
1060C2×C42—111no—
1061C2×C42—111no—
1062C2×C42—111no—
1063C2×C42—111no—
1064C2×C42—111no—
1065C2×C42—224no—
1066C2×C42C22×D1111yescharacteristic
1067C2×C42C22×D1111yescharacteristic
1068C2×C42C22×D1111yescharacteristic
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#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95C22×D1111yescharacteristic
1100#95C22×D1111yescharacteristic
1101#95C22×D1111yescharacteristic
1102#95C22×D1111yescharacteristic
1103#95C22×D1111yescharacteristic
1104#95C22×D1111yescharacteristic
1105#95C22×D1111yescharacteristic
1106#95C22×D1111yescharacteristic
1107#95C22×D1111yescharacteristic
1108#95C22×D1111yescharacteristic
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113C2×C11—81no—
1114C2×C11C2×#54011yescharacteristic
1115C2×C11#349111yescharacteristic
1116C2×C11#349211yescharacteristic
1117C2×C11#355811yescharacteristic
1118C2×C11#355811yescharacteristic
1119C2×C11#355911yescharacteristic
1120C2×C11#355911yescharacteristic
1121D11—24no—
1122D11—81no—
1123D11—81no—
1124D11—81no—
1125C24—111no—
1126C24—111no—
1127C24—111no—
1128C24—111no—
1129C24C23×D1111yescharacteristic
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—222no—
1139C2×D4—222no—
1140C2×D4—222no—
1141C2×D4—222no—
1142C2×D4—222no—
1143C2×D4—222no—
1144C2×D4—441no—
1145C2×D4—441no—
1146C2×D4—441no—
1147C2×D4—441no—
1148C2×D4—441no—
1149C2×D4—441no—
1150C2×D4—441no—
1151C2×D4—441no—
1152C2×D4—441no—
1153C2×D4—441no—
1154C2×D4—441no—
1155C2×D4—441no—
1156C2×D4—441no—
1157C2×D4—441no—
1158C2×D4—441no—
1159C2×D4—441no—
1160C22×C4—111no—
1161C22×C4—111no—
1162C22×C4—114no—
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—111no—
1172C22×C4—111no—
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—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—441no—
1196C22×C4—441no—
1197C22×C4—441no—
1198C22×C4—441no—
1199C22×C4—441no—
1200C22×C4—441no—
1201C22×C4—441no—
1202C22×C4—441no—
1203C22×C4—441no—
1204C22×C4—441no—
1205C22×C4C23×D1111yescharacteristic
1206C22×C4C23×D1111yescharacteristic
1207C22×C4C23×D1111yescharacteristic
1208C22×C4C23×D1111yescharacteristic
1209C22×C4C23×D1111yescharacteristic
1210C22×C4C23×D1111yescharacteristic
1211C22×C4C23×D1111yescharacteristic
1212C22×C4C23×D1111yescharacteristic
1213C22×C4C23×D1111yescharacteristic
1214C22×C4C23×D1111yescharacteristic
1215C22×C4C23×D1111yescharacteristic
1216C22×C4C23×D1111yescharacteristic
1217C22×C4C23×D1111yescharacteristic
1218C22×C4C23×D1111yescharacteristic
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—222no—
1231C4⋊C4—222no—
1232C4⋊C4—222no—
1233C4⋊C4—441no—
1234C4⋊C4—441no—
1235C4⋊C4—441no—
1236C4⋊C4—441no—
1237C4⋊C4—441no—
1238C4⋊C4—441no—
1239C4⋊C4—441no—
1240C4⋊C4—441no—
1241C4⋊C4—441no—
1242C4⋊C4—441no—
1243C4⋊C4—441no—
1244C4⋊C4—441no—
1245C4⋊C4—441no—
1246C4⋊C4—441no—
1247C4⋊C4—441no—
1248C4⋊C4—441no—
1249C4⋊C4—441no—
1250C4⋊C4—441no—
1251C4⋊C4—441no—
1252C4⋊C4—441no—
1253C4⋊C4—441no—
1254C4⋊C4—441no—
1255C4⋊C4—441no—
1256C4⋊C4—441no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—222no—
1265C22⋊C4—222no—
1266C22⋊C4—222no—
1267C22⋊C4—222no—
1268C22⋊C4—222no—
1269C22⋊C4—222no—
1270C22⋊C4—222no—
1271C22⋊C4—222no—
1272C22⋊C4—222no—
1273C22⋊C4—222no—
1274C22⋊C4—222no—
1275C22⋊C4—222no—
1276C22⋊C4—222no—
1277C22⋊C4—222no—
1278C22⋊C4—441no—
1279C22⋊C4—441no—
1280C22⋊C4—441no—
1281C22⋊C4—441no—
1282C22⋊C4—441no—
1283C22⋊C4—441no—
1284C22⋊C4—441no—
1285C22⋊C4—441no—
1286C22⋊C4—441no—
1287C22⋊C4—441no—
1288C22⋊C4—441no—
1289C22⋊C4—441no—
1290C22⋊C4—441no—
1291C22⋊C4—441no—
1292C22⋊C4—441no—
1293C22⋊C4—441no—
1294C22⋊C4—441no—
1295C22⋊C4—441no—
1296C22⋊C4—441no—
1297C22⋊C4—441no—
1298C22⋊C4—441no—
1299C22⋊C4—441no—
1300C22⋊C4—441no—
1301C42—22no—
1302C42—41no—
1303C42—41no—
1304C42—222no—
1305C42—222no—
1306C42—222no—
1307C42—441no—
1308C42—441no—
1309C11#3697611yescharacteristic, complemented, Sylow
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—112no—
1318C23—112no—
1319C23—112no—
1320C23—221no—
1321C23—221no—
1322C23—221no—
1323C23—221no—
1324C23—221no—
1325C23—221no—
1326C23—221no—
1327C23—221no—
1328C23—221no—
1329C23—221no—
1330C23—221no—
1331C23—221no—
1332C23—221no—
1333C23—221no—
1334C23—221no—
1335C23—221no—
1336C23—221no—
1337C23—221no—
1338C23—221no—
1339C23—221no—
1340C23—221no—
1341C23—221no—
1342C23—221no—
1343C23—221no—
1344C23—221no—
1345C23C24×D1111yescharacteristic
1346D4—444no—
1347D4—444no—
1348D4—444no—
1349D4—444no—
1350D4—882no—
1351D4—882no—
1352D4—882no—
1353D4—882no—
1354D4—882no—
1355D4—882no—
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—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—112no—
1397C2×C4—112no—
1398C2×C4—228no—
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—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—444no—
1434C2×C4—444no—
1435C2×C4—882no—
1436C2×C4—882no—
1437C2×C4—882no—
1438C2×C4—882no—
1439C2×C4—882no—
1440C2×C4—882no—
1441C2×C4—882no—
1442C2×C4—882no—
1443C2×C4#41×D1112yes—
1444C2×C4#6704212yes—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—114no—
1453C22—222no—
1454C22—222no—
1455C22—222no—
1456C22—222no—
1457C22—222no—
1458C22—222no—
1459C22—441no—
1460C22—441no—
1461C22—441no—
1462C22—441no—
1463C22—441no—
1464C22—441no—
1465C22—441no—
1466C22—441no—
1467C22—441no—
1468C22—441no—
1469C22—441no—
1470C22—441no—
1471C22—441no—
1472C22—441no—
1473C22—441no—
1474C22—441no—
1475C22—441no—
1476C22—441no—
1477C22—441no—
1478C22—441no—
1479C22—441no—
1480C22C2×#41×D1111yescharacteristic
1481C22C2×#6704211yescharacteristic
1482C22#1062345311yescharacteristic
1483C22D11×H(5,𝔽2)11yescharacteristic
1484C22D11×H(5,𝔽2)11yescharacteristic
1485C22D11×2−1+411yescharacteristic
1486C22#1062345711yescharacteristic
1487C4—22no—
1488C4—22no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—222no—
1502C4—222no—
1503C4—441no—
1504C4—441no—
1505C4—441no—
1506C4—441no—
1507C4—441no—
1508C4—441no—
1509C4—441no—
1510C4—441no—
1511C4—441no—
1512C4—441no—
1513C2—81no—
1514C2—224no—
1515C2—881no—
1516C2—881no—
1517C2—881no—
1518C2D11×#54011yescharacteristic
1519C2#1308231111yescharacteristic
1520C2#1308231611yescharacteristic
1521C2#1308313111yescharacteristic
1522C2#1308313611yescharacteristic
1523C2#1308314211yescharacteristic
1524C2#1308315311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2773C2
prime radical#13074719C2
hypercenter#2773D11
hypocenterC11#36976
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2773

Complements

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

NH ≅ G/Ntype
1. #13076949C2semidirect
2. #13076943C2semidirect
3. #13076160C2semidirect
4. #13076159C2semidirect
5. #13076156C2semidirect
6. #13076099C2semidirect
7. #13076098C2semidirect
8. #13076095C2semidirect
9. #13076090C2semidirect
10. #13075900C2semidirect
11. #13075899C2semidirect
12. #13075891C2semidirect
13. #13075888C2semidirect
14. #13075303C2semidirect
15. #13075302C2semidirect
16. #13075301C2semidirect
17. #13075297C2semidirect
19. #13074587C2semidirect
20. #13072356C2semidirect
21. #13072356C2semidirect
22. #13072354C2semidirect
23. #13072346C2semidirect
24. #13072174C2semidirect
25. #13072172C2semidirect
26. #13072170C2semidirect
27. #13072160C2semidirect
28. #13071320C2semidirect
29. #13071315C2semidirect
30. D11×#382C2semidirect
31. C11×#2773C2semidirect
553. #2773D11semidirect
1309. C11#36976semidirect

Maximal subgroups

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

subgroupindex
#130769492
#130769432
#130761602
#130761592
#130761562
#130760992
#130760982
#130760952
#130760902
#130759002
#130758992
#130758912
#130758882
#130753032
#130753022
#130753012
#130752972
#130747192
#130745872
#130723562
#130723542
#130723462
#130721742
#130721722
#130721702
#130721602
#130713202
#130713152
D11×#3822
C11×#27732
#3697611