Finite Group Databasebeta

← #14962372

Subgroups — #14962372

Order 2816.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1496 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076935C211yesmaximal, characteristic, complemented
2#13076915C211yesmaximal, characteristic, complemented
3#13076288C211yesmaximal, characteristic, complemented
4#13076112C211yesmaximal, characteristic, complemented
5#13076003C211yesmaximal, characteristic, complemented
6#13075943C211yesmaximal, characteristic, complemented
7#13075841C211yesmaximal, characteristic, complemented
8#13075811C211yesmaximal, characteristic, complemented
9#13075806C211yesmaximal, characteristic, complemented
10#13075804C211yesmaximal, characteristic, complemented
11#13075619C211yesmaximal, characteristic, complemented
12#13075194C211yesmaximal, characteristic, complemented
13#13075096C211yesmaximal, characteristic, complemented
14#13075048C211yesmaximal, characteristic, complemented
15#13075048C211yesmaximal, characteristic, complemented
16#13075018C211yesmaximal, characteristic, complemented
17#13074968C211yesmaximal, characteristic, complemented
18#13074689C211yesmaximal, characteristic, complemented
19#13074650C211yesmaximal, characteristic, complemented
20#13074200C211yesmaximal, characteristic, complemented
21#13073951C211yesmaximal, characteristic, complemented
22#13073741C211yesmaximal, characteristic, complemented
23#13073571C211yesmaximal, characteristic, complemented
24#13073407C211yesmaximal, characteristic, complemented
25#13073381C211yesmaximal, characteristic, complemented
26#13072287C211yesmaximal, characteristic, complemented
27#13072030C211yesmaximal, characteristic, complemented
28#13071377C211yesmaximal, characteristic, complemented
29#13071251C211yesmaximal, characteristic, complemented
30#13071052C211yesmaximal, characteristic, complemented
31C11×#2671C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×#66991C2211yescharacteristic
37C2×#66991C2211yescharacteristic
38C2×#66991C2211yescharacteristic
39C2×#66989C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×#66977C2211yescharacteristic
42C22×C4×Dic11C2211yescharacteristic
43C2×#66949C2211yescharacteristic
44C2×#66945C2211yescharacteristic
45C2×(C22⋊D11)⋊C4C2211yescharacteristic
46C2×#66932C2211yescharacteristic
47C11×#399C2211yescharacteristic
48C11×#398C2211yescharacteristic
49C11×#394C2211yescharacteristic
50C11×#394C2211yescharacteristic
51C11×#394C2211yescharacteristic
52C11×#392C2211yescharacteristic
53C11×#386C2211yescharacteristic
54C11×#386C2211yescharacteristic
55C11×#385C2211yescharacteristic
56C11×#385C2211yescharacteristic
57C11×#380C2211yescharacteristic
58#10622836C2211yescharacteristic
59#10622836C2211yescharacteristic
60#10622836C2211yescharacteristic
61#10622835C2211yescharacteristic
62#10622835C2211yescharacteristic
63#10622835C2211yescharacteristic
64#10622835C2211yescharacteristic
65#10622835C2211yescharacteristic
66#10622834C2211yescharacteristic
67#10622834C2211yescharacteristic
68#10622834C2211yescharacteristic
69#10622833C2211yescharacteristic
70#10622833C2211yescharacteristic
71#10622833C2211yescharacteristic
72#10622833C2211yescharacteristic
73#10622833C2211yescharacteristic
74#10622833C2211yescharacteristic
75#10622833C2211yescharacteristic
76#10622833C2211yescharacteristic
77#10622833C2211yescharacteristic
78#10622826C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622825C2211yescharacteristic
81#10622824C2211yescharacteristic
82#10622824C2211yescharacteristic
83#10622824C2211yescharacteristic
84#10622823C2211yescharacteristic
85#10622823C2211yescharacteristic
86C4×C22⋊Dic11C2211yescharacteristic
87#10622603C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622599C2211yescharacteristic
93#10622599C2211yescharacteristic
94#10622599C2211yescharacteristic
95#10622598C2211yescharacteristic
96#10622598C2211yescharacteristic
97#10622597C2211yescharacteristic
98#10622597C2211yescharacteristic
99#10622595C2211yescharacteristic
100#10622594C2211yescharacteristic
101#10622593C2211yescharacteristic
102#10622592C2211yescharacteristic
103#10622591C2211yescharacteristic
104#10622591C2211yescharacteristic
105#10622591C2211yescharacteristic
106#10622591C2211yescharacteristic
107#10622591C2211yescharacteristic
108#10622591C2211yescharacteristic
109#10622590C2211yescharacteristic
110C4⋊C4×Dic11C2211yescharacteristic
111#10622587C2211yescharacteristic
112#10622585C2211yescharacteristic
113#10622574C2211yescharacteristic
114#10622574C2211yescharacteristic
115#10622574C2211yescharacteristic
116#10622572C2211yescharacteristic
117#10622571C2211yescharacteristic
118#10622571C2211yescharacteristic
119#10622570C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622569C2211yescharacteristic
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622566C2211yescharacteristic
126#10622566C2211yescharacteristic
127#10622566C2211yescharacteristic
128#10622566C2211yescharacteristic
129#10622565C2211yescharacteristic
130#10622565C2211yescharacteristic
131#10622565C2211yescharacteristic
132#10622565C2211yescharacteristic
133#10622565C2211yescharacteristic
134#10622564C2211yescharacteristic
135#10622564C2211yescharacteristic
136#10622564C2211yescharacteristic
137#10622563C2211yescharacteristic
138#10622562C2211yescharacteristic
139#10622561C2211yescharacteristic
140#10622561C2211yescharacteristic
141#10622561C2211yescharacteristic
142#10622560C2211yescharacteristic
143#10622559C2211yescharacteristic
144#10622559C2211yescharacteristic
145#10622558C2211yescharacteristic
146#10622558C2211yescharacteristic
147#10622558C2211yescharacteristic
148#10622558C2211yescharacteristic
149#10622558C2211yescharacteristic
150#10622558C2211yescharacteristic
151#10622558C2211yescharacteristic
152#10622557C2211yescharacteristic
153#10622557C2211yescharacteristic
154#10622557C2211yescharacteristic
155#10622557C2211yescharacteristic
156#10622557C2211yescharacteristic
157#10622557C2211yescharacteristic
158#10622557C2211yescharacteristic
159#10622556C2211yescharacteristic
160#10622555C2211yescharacteristic
161C22⋊C4×Dic11C2211yescharacteristic
162C22⋊C4×Dic11C2211yescharacteristic
163#10622288C2211yescharacteristic
164#10622283C2211yescharacteristic
165#10622280C2211yescharacteristic
166#10622279C2211yescharacteristic
167#10622277C2211yescharacteristic
168D11×#95C2211yescharacteristic
169C11⋊#401C2211yescharacteristic
170#10622274C2211yescharacteristic
171#10622274C2211yescharacteristic
172#10622273C2211yescharacteristic
173#10622273C2211yescharacteristic
174#10622273C2211yescharacteristic
175#10622270C2211yescharacteristic
176#10622268C2211yescharacteristic
177#10622267C2211yescharacteristic
178#10622266C2211yescharacteristic
179#10622266C2211yescharacteristic
180#10622265C2211yescharacteristic
181#10622265C2211yescharacteristic
182#10622264C2211yescharacteristic
183#10622264C2211yescharacteristic
184#10622263C2211yescharacteristic
185#10622261C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×Dic22C2311yescharacteristic
207C11×#123—42no—
208C11×#121—42no—
209C11×#121—42no—
210C11×#121—42no—
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×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×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
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
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256#66991—24no—
257#66991—42no—
258#66991—42no—
259#66989—42no—
260C4×C22⋊D11—24no—
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×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277#66977—42no—
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×C4×Dic11—42no—
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303#66949—42no—
304#66945—42no—
305(C22⋊D11)⋊C4—24no—
306#66932—42no—
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11⋊#95C2311yescharacteristic
314C11⋊#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357#36785—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C24×C11C2411yescharacteristic
361C24×C11C2411yescharacteristic
362C23×D11C2411yescharacteristic
363C2×D4×C11—22no—
364C2×D4×C11—22no—
365C2×D4×C11—22no—
366C2×D4×C11—22no—
367C2×D4×C11—22no—
368C2×D4×C11—41no—
369C2×D4×C11—41no—
370C2×D4×C11—41no—
371C2×D4×C11—41no—
372C2×D4×C11—41no—
373C2×D4×C11—41no—
374C2×D4×C11—41no—
375C2×D4×C11—41no—
376C2×D4×C11—41no—
377C2×D4×C11—41no—
378C2×D4×C11—41no—
379C2×D4×C11—41no—
380C2×D4×C11—41no—
381C22×C4×C11—22no—
382C22×C4×C11—22no—
383C22×C4×C11—22no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11—41no—
388C22×C4×C11—41no—
389C22×C4×C11—41no—
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×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C2×C22⋊D11—22no—
402C2×C22⋊D11—22no—
403C2×C22⋊D11—22no—
404C2×C22⋊D11—22no—
405C2×C22⋊D11—22no—
406C2×C22⋊D11—41no—
407C2×C22⋊D11—41no—
408C2×C22⋊D11—41no—
409C2×C22⋊D11—41no—
410C2×C22⋊D11—41no—
411C2×C22⋊D11—41no—
412C2×C22⋊D11—41no—
413C22×Dic11—22no—
414C22×Dic11—41no—
415C22×Dic11—41no—
416C22×Dic11—41no—
417C22×Dic11—41no—
418C22×Dic11—41no—
419C22×Dic11—41no—
420C22×Dic11—41no—
421C22×Dic11—41no—
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
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#4114yes—
446C2×Dic22—22no—
447C2×Dic22—41no—
448C2×Dic22—41no—
449C11×C4⋊C4—22no—
450C11×C4⋊C4—22no—
451C11×C4⋊C4—41no—
452C11×C4⋊C4—41no—
453C11×C4⋊C4—41no—
454C11×C4⋊C4—41no—
455C11×C4⋊C4—41no—
456C11×C22⋊C4—22no—
457C11×C22⋊C4—22no—
458C11×C22⋊C4—22no—
459C11×C22⋊C4—41no—
460C11×C22⋊C4—41no—
461C11×C22⋊C4—41no—
462C11×C22⋊C4—41no—
463C11×C22⋊C4—41no—
464C11×C22⋊C4—41no—
465C11×C22⋊C4—41no—
466C11×C22⋊C4—41no—
467C11×C22⋊C4—41no—
468C11×C22⋊C4—41no—
469C22⋊Dic11—22no—
470C22⋊Dic11—22no—
471C22⋊Dic11—22no—
472C22⋊Dic11—22no—
473C22⋊Dic11—22no—
474C22⋊Dic11—22no—
475C22⋊Dic11—41no—
476C22⋊Dic11—41no—
477C22⋊Dic11—41no—
478C22⋊Dic11—41no—
479C22⋊Dic11—41no—
480C22⋊Dic11—41no—
481C22⋊Dic11—41no—
482C22⋊Dic11—41no—
483C22⋊Dic11—41no—
484C22⋊Dic11—41no—
485C22⋊Dic11—41no—
486C22⋊Dic11—41no—
487C22⋊Dic11—41no—
488C22⋊Dic11—41no—
489C22⋊Dic11—41no—
490C22⋊Dic11—41no—
491C22⋊Dic11—41no—
492C22⋊Dic11—41no—
493C22⋊Dic11—41no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—22no—
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—
502C4⋊Dic11—22no—
503C4⋊Dic11—41no—
504C4⋊Dic11—41no—
505C4⋊Dic11—41no—
506C4⋊Dic11—41no—
507C4⋊Dic11—41no—
508C4⋊Dic11—41no—
509C4⋊Dic11—41no—
510Dic11⋊C4—22no—
511Dic11⋊C4—22no—
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—
524C4×Dic11—22no—
525C4×Dic11—22no—
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#2853—111no—
535#2850—111no—
536#2782—111no—
537#2769—111no—
538#2761—111no—
539#2756—111no—
540#2749—111no—
541#2747—111no—
542#2746—111no—
543#2746—111no—
544#2730—111no—
545#2698—111no—
546#2691—111no—
547#2688—111no—
548#2688—111no—
549#2686—111no—
550#2681—111no—
551#2671D1111yescharacteristic, complemented
552#2654—111no—
553#2651—111no—
554#2600—111no—
555#2578—111no—
556#2559—111no—
557#2543—111no—
558#2527—111no—
559#2526—111no—
560#2438—111no—
561#2414—111no—
562#2333—111no—
563#2318—111no—
564#2290—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—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11H(5,𝔽2)12yes—
593C23×C11C2511yescharacteristic
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11C2×#4112yes—
601D4×C11—82no—
602D4×C11—82no—
603D4×C11—82no—
604D4×C11—82no—
605D4×C11—82no—
606D4×C11—82no—
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—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—44no—
639C2×C4×C11—82no—
640C2×C4×C11—82no—
641C2×C4×C11C2×#4112yes—
642C2×C4×C11H(5,𝔽2)12yes—
643C22⋊D11—44no—
644C22⋊D11—44no—
645C22⋊D11—82no—
646C22⋊D11—82no—
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—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—44no—
692C2×Dic11—44no—
693C2×Dic11—82no—
694C2×Dic11C2×#4112yes—
695C4×D11—44no—
696C4×D11—82no—
697C4×D11—82no—
698Dic22—82no—
699C2×#126—111no—
700C2×#124—111no—
701C2×#123C2×D1111yescharacteristic
702C2×C22⋊Q8—111no—
703C2×C22⋊Q8—111no—
704C2×#121—111no—
705C2×#121—111no—
706C2×#121—111no—
707C2×#121C2×D1111yescharacteristic
708C2×#121C2×D1111yescharacteristic
709C2×#121C2×D1111yescharacteristic
710C2×C4×D4—111no—
711C2×C4×D4—111no—
712C2×#117—111no—
713C22×C42—111no—
714#401—111no—
715#400—111no—
716#400—111no—
717#400—111no—
718#400—111no—
719#400—111no—
720#400—111no—
721#400—111no—
722#399—111no—
723#399C2×D1111yescharacteristic
724#398—111no—
725#398—111no—
726#398—111no—
727#398—111no—
728#398—111no—
729#398—111no—
730#398C2×D1111yescharacteristic
731#397—111no—
732#397—111no—
733#397—111no—
734#397—111no—
735#397—111no—
736#397—111no—
737#397—111no—
738#397—111no—
739#397—111no—
740#397—111no—
741#396—111no—
742#396—111no—
743#396—111no—
744#395—111no—
745#394—111no—
746#394—111no—
747#394—111no—
748#394—111no—
749#394—111no—
750#394—111no—
751#394—111no—
752#394—111no—
753#394—111no—
754#394C2×D1111yescharacteristic
755#394C2×D1111yescharacteristic
756#394C2×D1111yescharacteristic
757#393—111no—
758#392—111no—
759#392—111no—
760#392—111no—
761#392C2×D1111yescharacteristic
762#391—111no—
763#391—111no—
764#390—111no—
765#390—111no—
766#390—111no—
767#390—111no—
768#390—111no—
769#389—111no—
770#389—111no—
771#389—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
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#388—111no—
789#388—111no—
790#388—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—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#386—111no—
819#386—111no—
820#386—111no—
821#386C2×D1111yescharacteristic
822#386C2×D1111yescharacteristic
823#385—111no—
824#385—111no—
825#385—111no—
826#385—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385—111no—
831#385—111no—
832#385C2×D1111yescharacteristic
833#385C2×D1111yescharacteristic
834#383—111no—
835#383—111no—
836#382—111no—
837#382—111no—
838#381—111no—
839#381—111no—
840#381—111no—
841#381—111no—
842#381—111no—
843#380—111no—
844#380—111no—
845#380—111no—
846#380C2×D1111yescharacteristic
847C4×C4⋊C4—111no—
848C4×C22⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4—111no—
851C4×C22⋊C4—111no—
852#376—111no—
853C2×#95—111no—
854C22×C11—22no—
855C22×C11—22no—
856C22×C11—22no—
857C22×C11—41no—
858C22×C11—41no—
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—41no—
868C22×C11—41no—
869C22×C11—41no—
870C22×C11—41no—
871C22×C11—41no—
872C22×C11—41no—
873C22×C11—41no—
874C22×C11—41no—
875C22×C11—41no—
876C22×C11—41no—
877C22×C11—41no—
878C22×C11—41no—
879C22×C11—41no—
880C22×C11—41no—
881C22×C11—41no—
882C22×C11C22×#4111yescharacteristic
883C22×C11C2×H(5,𝔽2)11yescharacteristic
884C22×C11C2×H(5,𝔽2)11yescharacteristic
885C22×C11#58511yescharacteristic
886C22×C11#58511yescharacteristic
887C22×C11#58511yescharacteristic
888C22×C11#58511yescharacteristic
889C2×D11—22no—
890C2×D11—22no—
891C2×D11—22no—
892C2×D11—41no—
893C2×D11—41no—
894C2×D11—41no—
895C2×D11—41no—
896C4×C11—22no—
897C4×C11—22no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907Dic11—22no—
908Dic11—41no—
909Dic11—41no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921Dic11—41no—
922C22×Q8—111no—
923C22×D4—111no—
924C22×D4—111no—
925C22×D4—111no—
926C22×D4—111no—
927C22×D4C22×D1111yescharacteristic
928C22×D4C22×D1111yescharacteristic
929C22×D4C22×D1111yescharacteristic
930C22×D4C22×D1111yescharacteristic
931C22×D4C22×D1111yescharacteristic
932C22×D4C22×D1111yescharacteristic
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4C22×D1111yescharacteristic
940C23×C4C22×D1111yescharacteristic
941C23×C4C22×D1111yescharacteristic
942#126—442no—
943#124—442no—
944#123—42no—
945C22⋊Q8—442no—
946C22⋊Q8—442no—
947#121—42no—
948#121—42no—
949#121—42no—
950#121—224no—
951#121—442no—
952#121—442no—
953C4×D4—224no—
954C4×D4—224no—
955#117—442no—
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—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
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×C4⋊C4C22×D1111yescharacteristic
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
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—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⋊C4C22×D1111yescharacteristic
1019C2×C22⋊C4C22×D1111yescharacteristic
1020C2×C22⋊C4C22×D1111yescharacteristic
1021C2×C22⋊C4C22×D1111yescharacteristic
1022C2×C22⋊C4C22×D1111yescharacteristic
1023C2×C22⋊C4C22×D1111yescharacteristic
1024C2×C22⋊C4C22×D1111yescharacteristic
1025C2×C22⋊C4C22×D1111yescharacteristic
1026C2×C22⋊C4C22×D1111yescharacteristic
1027C2×C22⋊C4C22×D1111yescharacteristic
1028C2×C22⋊C4C22×D1111yescharacteristic
1029C2×C22⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4C22×D1111yescharacteristic
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—111no—
1034C2×C42—111no—
1035C2×C42—111no—
1036C2×C42—111no—
1037C2×C42—111no—
1038C2×C42—111no—
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—442no—
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#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#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092C2×C11—42no—
1093C2×C11—81no—
1094C2×C11—81no—
1095C2×C11—81no—
1096C2×C11#345511yescharacteristic
1097C2×C11#349411yescharacteristic
1098C2×C11#350511yescharacteristic
1099C2×C11#353411yescharacteristic
1100C2×C11#353911yescharacteristic
1101C2×C11#354511yescharacteristic
1102C2×C11#356611yescharacteristic
1103D11—42no—
1104C24—111no—
1105C24C23×D1111yescharacteristic
1106C24C23×D1111yescharacteristic
1107C24C23×D1111yescharacteristic
1108C24C23×D1111yescharacteristic
1109C2×Q8—222no—
1110C2×Q8—441no—
1111C2×Q8—441no—
1112C2×D4—22no—
1113C2×D4—22no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—222no—
1131C2×D4—222no—
1132C2×D4—222no—
1133C2×D4—222no—
1134C2×D4—222no—
1135C2×D4—441no—
1136C2×D4—441no—
1137C2×D4—441no—
1138C2×D4—441no—
1139C2×D4—441no—
1140C2×D4—441no—
1141C2×D4—441no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—111no—
1152C22×C4—114no—
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—111no—
1165C22×C4—111no—
1166C22×C4—111no—
1167C22×C4—222no—
1168C22×C4—441no—
1169C22×C4—441no—
1170C22×C4—441no—
1171C22×C4—441no—
1172C22×C4—441no—
1173C22×C4—441no—
1174C22×C4—441no—
1175C22×C4—441no—
1176C22×C4—441no—
1177C22×C4—441no—
1178C22×C4—441no—
1179C22×C4—441no—
1180C22×C4—441no—
1181C22×C4—441no—
1182C22×C4—441no—
1183C22×C4—441no—
1184C22×C4C23×D1111yescharacteristic
1185C22×C4C23×D1111yescharacteristic
1186C22×C4C23×D1111yescharacteristic
1187C22×C4C23×D1111yescharacteristic
1188C22×C4C23×D1111yescharacteristic
1189C22×C4C23×D1111yescharacteristic
1190C22×C4C23×D1111yescharacteristic
1191C22×C4C23×D1111yescharacteristic
1192C22×C4C23×D1111yescharacteristic
1193C22×C4C23×D1111yescharacteristic
1194C22×C4C23×D1111yescharacteristic
1195C4⋊C4—22no—
1196C4⋊C4—22no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—222no—
1203C4⋊C4—222no—
1204C4⋊C4—222no—
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—
1220C4⋊C4—441no—
1221C4⋊C4—441no—
1222C4⋊C4—441no—
1223C4⋊C4—441no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—222no—
1238C22⋊C4—222no—
1239C22⋊C4—222no—
1240C22⋊C4—222no—
1241C22⋊C4—222no—
1242C22⋊C4—222no—
1243C22⋊C4—222no—
1244C22⋊C4—222no—
1245C22⋊C4—222no—
1246C22⋊C4—441no—
1247C22⋊C4—441no—
1248C22⋊C4—441no—
1249C22⋊C4—441no—
1250C22⋊C4—441no—
1251C22⋊C4—441no—
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—
1270C42—222no—
1271C42—222no—
1272C42—222no—
1273C42—222no—
1274C42—441no—
1275C42—441no—
1276C42—441no—
1277C42—441no—
1278C42—441no—
1279C42—441no—
1280C11#3678511yescharacteristic, complemented, Sylow
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—112no—
1309C23—221no—
1310C23—221no—
1311C23—221no—
1312C23—221no—
1313C23—221no—
1314C23—221no—
1315C23#6703712yes—
1316C23C24×D1111yescharacteristic
1317Q8—882no—
1318D4—82no—
1319D4—82no—
1320D4—82no—
1321D4—82no—
1322D4—82no—
1323D4—82no—
1324D4—444no—
1325D4—444no—
1326D4—882no—
1327D4—882no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—44no—
1360C2×C4—82no—
1361C2×C4—82no—
1362C2×C4—112no—
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—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—444no—
1408C2×C4—444no—
1409C2×C4—444no—
1410C2×C4—882no—
1411C2×C4—882no—
1412C2×C4—882no—
1413C2×C4#6703712yes—
1414C2×C4#41×D1112yes—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—222no—
1444C22—222no—
1445C22—222no—
1446C22—441no—
1447C22—441no—
1448C22—441no—
1449C22—441no—
1450C22C2×#6703711yescharacteristic
1451C22C2×#6703711yescharacteristic
1452C22C2×#41×D1111yescharacteristic
1453C22#1062345511yescharacteristic
1454C22#1062345511yescharacteristic
1455C22#1062345511yescharacteristic
1456C22#1062345711yescharacteristic
1457C4—22no—
1458C4—22no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—222no—
1469C4—441no—
1470C4—441no—
1471C4—441no—
1472C4—441no—
1473C4—441no—
1474C4—441no—
1475C4—441no—
1476C4—441no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C4—441no—
1482C4—441no—
1483C2—42no—
1484C2—81no—
1485C2—81no—
1486C2—81no—
1487C2—442no—
1488C2#1308200011yescharacteristic
1489C2#1308234011yescharacteristic
1490C2#1308244311yescharacteristic
1491C2#1308279411yescharacteristic
1492C2#1308286911yescharacteristic
1493C2#1308296511yescharacteristic
1494C2#1308328911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2671C2
hypercenter#2671D11
hypocenterC11#36785
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2671

Complements

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

NH ≅ G/Ntype
1. #13076935C2semidirect
2. #13076915C2semidirect
3. #13076288C2semidirect
4. #13076112C2semidirect
5. #13076003C2semidirect
6. #13075943C2semidirect
7. #13075841C2semidirect
8. #13075811C2semidirect
9. #13075806C2semidirect
10. #13075804C2semidirect
11. #13075619C2semidirect
12. #13075194C2semidirect
13. #13075096C2semidirect
14. #13075048C2semidirect
15. #13075048C2semidirect
16. #13075018C2semidirect
17. #13074968C2semidirect
18. #13074689C2semidirect
19. #13074650C2semidirect
20. #13074200C2semidirect
21. #13073951C2semidirect
22. #13073741C2semidirect
23. #13073571C2semidirect
24. #13073407C2semidirect
25. #13073381C2semidirect
26. #13072287C2semidirect
27. #13072030C2semidirect
28. #13071377C2semidirect
29. #13071251C2semidirect
30. #13071052C2semidirect
31. C11×#2671C2semidirect
551. #2671D11semidirect
1280. C11#36785semidirect

Maximal subgroups

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

subgroupindex
#130769352
#130769152
#130762882
#130761122
#130760032
#130759432
#130758412
#130758112
#130758062
#130758042
#130756192
#130751942
#130750962
#130750482
#130750182
#130749682
#130746892
#130746502
#130742002
#130739512
#130737412
#130735712
#130734072
#130733812
#130722872
#130720302
#130713772
#130712512
#130710522
C11×#26712
#3678511