Finite Group Databasebeta

← #16035581

Subgroups — #16035581

Order 3328.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719298C211yesmaximal, characteristic, complemented
2C22×#88135C211yesmaximal, characteristic, complemented
3#13123149C211yesmaximal, characteristic, complemented
4#13123135C211yesmaximal, characteristic, complemented
5#13123127C211yesmaximal, characteristic, complemented
6#13123115C211yesmaximal, characteristic, complemented
7#13120738C211yesmaximal, characteristic, complemented
8#13120725C211yesmaximal, characteristic, complemented
9#13120693C211yesmaximal, characteristic, complemented
10#13120680C211yesmaximal, characteristic, complemented
11#13119102C211yesmaximal, characteristic, complemented
12#13118967C211yesmaximal, characteristic, complemented
13#13118888C211yesmaximal, characteristic, complemented
14#13118774C211yesmaximal, characteristic, complemented
15#13118729C211yesmaximal, characteristic, complemented
16#13118723C211yesmaximal, characteristic, complemented
17#13118658C211yesmaximal, characteristic, complemented
18#13118592C211yesmaximal, characteristic, complemented
19#13118567C211yesmaximal, characteristic, complemented
20#13118497C211yesmaximal, characteristic, complemented
21#13118378C211yesmaximal, characteristic, complemented
22#13118368C211yesmaximal, characteristic, complemented
23#13118302C211yesmaximal, characteristic, complemented
24#13118211C211yesmaximal, characteristic, complemented
25#13118146C211yesmaximal, characteristic, complemented
26#13117537C211yesmaximal, characteristic, complemented
27#13117491C211yesmaximal, characteristic, complemented
28#13117464C211yesmaximal, characteristic, complemented
29#120×Dic13C211yesmaximal, characteristic, complemented
30C2×#11718881C211yesmaximal, characteristic, complemented
31C13×#2410C211yesmaximal, characteristic, complemented
32C23×D4×C13C2211yescharacteristic
33C23×C22⋊D13C2211yescharacteristic
34C24×Dic13C2211yescharacteristic
35C23×C4×D13C2211yescharacteristic, complemented
36C2×C13×#121C2211yescharacteristic
37C2×C13×#121C2211yescharacteristic
38C2×C13×#120C2211yescharacteristic
39C2×C13×#120C2211yescharacteristic, complemented
40C22×C13×C22⋊C4C2211yescharacteristic
41C2×#88207C2211yescharacteristic
42C2×#88207C2211yescharacteristic
43C22×C22⋊Dic13C2211yescharacteristic
44C22×C22⋊Dic13C2211yescharacteristic, complemented
45C22×C22⋊Dic13C2211yescharacteristic, complemented
46C2×#88193C2211yescharacteristic
47C2×#88193C2211yescharacteristic
48C2×#88193C2211yescharacteristic, complemented
49C2×#88192C2211yescharacteristic, complemented
50C2×#88192C2211yescharacteristic, complemented
51C2×#88191C2211yescharacteristic
52C2×#88191C2211yescharacteristic
53C2×#88191C2211yescharacteristic, complemented
54C2×#88190C2211yescharacteristic, complemented
55C2×#88189C2211yescharacteristic, complemented
56C2×D4×Dic13C2211yescharacteristic, complemented
57C2×D4×Dic13C2211yescharacteristic, complemented
58C2×D4×Dic13C2211yescharacteristic, complemented
59C22×#6103C2211yescharacteristic, complemented
60C2×#88178C2211yescharacteristic, complemented
61C22×#6101C2211yescharacteristic, complemented
62C22×C4×Dic13C2211yescharacteristic, complemented
63#11719298—28no—
64C2×#88139C2211yescharacteristic, complemented
65C2×#88137C2211yescharacteristic, complemented
66C2×#88137C2211yescharacteristic, complemented
67C2×#88135—28no—
68C2×#88135C2211yescharacteristic
69C2×#88135C2211yescharacteristic
70C2×#88135C2211yescharacteristic
71C2×#88135C2211yescharacteristic
72C2×#88135C2211yescharacteristic, complemented
73C2×#88135C2211yescharacteristic, complemented
74C2×#88135C2211yescharacteristic, complemented
75C2×#88135C2211yescharacteristic, complemented
76C2×#88133C2211yescharacteristic, complemented
77C2×#88133C2211yescharacteristic, complemented
78C2×#88132C2211yescharacteristic, complemented
79C13×#394C2211yescharacteristic, complemented
80C13×#394C2211yescharacteristic, complemented
81C13×#392C2211yescharacteristic, complemented
82C13×#392C2211yescharacteristic, complemented
83C13×#386C2211yescharacteristic
84C13×#386C2211yescharacteristic
85C13×#386C2211yescharacteristic, complemented
86C13×#385C2211yescharacteristic, complemented
87C13×#379C2211yescharacteristic, complemented
88#11718908C2211yescharacteristic
89#11718884C2211yescharacteristic
90#11718884C2211yescharacteristic
91#11718884C2211yescharacteristic
92#11718884C2211yescharacteristic
93#11718884C2211yescharacteristic, complemented
94#11718884C2211yescharacteristic, complemented
95#11718884C2211yescharacteristic, complemented
96#11718883C2211yescharacteristic, complemented
97#11718882C2211yescharacteristic, complemented
98#11718881C2211yescharacteristic
99#11718881C2211yescharacteristic
100#11718881C2211yescharacteristic
101#11718881C2211yescharacteristic
102#11718881C2211yescharacteristic
103#11718881C2211yescharacteristic
104#11718881C2211yescharacteristic, complemented
105#11718881C2211yescharacteristic, complemented
106#11718881C2211yescharacteristic, complemented
107#11718881C2211yescharacteristic, complemented
108#11718881C2211yescharacteristic, complemented
109#11718881C2211yescharacteristic, complemented
110#11718881C2211yescharacteristic, complemented
111#11718881C2211yescharacteristic, complemented
112#11718874C2211yescharacteristic
113#11718874C2211yescharacteristic
114#11718873C2211yescharacteristic, complemented
115#11718871C2211yescharacteristic, complemented
116#11718871C2211yescharacteristic, complemented
117C2×#88071C2211yescharacteristic, complemented
118C2×#88071C2211yescharacteristic, complemented
119#11718655C2211yescharacteristic, complemented
120#11718651C2211yescharacteristic, complemented
121#11718648C2211yescharacteristic, complemented
122#11718648C2211yescharacteristic, complemented
123#11718644C2211yescharacteristic, complemented
124#11718639C2211yescharacteristic, complemented
125#11718638C2211yescharacteristic, complemented
126#11718635C2211yescharacteristic, complemented
127#11718622C2211yescharacteristic, complemented
128#11718622C2211yescharacteristic, complemented
129#11718620C2211yescharacteristic, complemented
130#11718620C2211yescharacteristic, complemented
131#11718620C2211yescharacteristic, complemented
132#11718620C2211yescharacteristic, complemented
133#11718619C2211yescharacteristic
134#11718619C2211yescharacteristic
135#11718619C2211yescharacteristic, complemented
136#11718618C2211yescharacteristic, complemented
137#11718618C2211yescharacteristic, complemented
138#11718617C2211yescharacteristic, complemented
139#11718617C2211yescharacteristic, complemented
140#11718617C2211yescharacteristic, complemented
141#11718617C2211yescharacteristic, complemented
142#11718617C2211yescharacteristic, complemented
143#11718617C2211yescharacteristic, complemented
144#11718616C2211yescharacteristic, complemented
145#11718613C2211yescharacteristic, complemented
146#11718613C2211yescharacteristic, complemented
147#11718612C2211yescharacteristic, complemented
148#11718611C2211yescharacteristic, complemented
149#11718611C2211yescharacteristic, complemented
150#11718611C2211yescharacteristic, complemented
151#11718611C2211yescharacteristic, complemented
152#11718610C2211yescharacteristic, complemented
153#11718610C2211yescharacteristic, complemented
154#11718609C2211yescharacteristic, complemented
155#11718609C2211yescharacteristic, complemented
156#11718609C2211yescharacteristic, complemented
157#11718608C2211yescharacteristic, complemented
158#11718607C2211yescharacteristic, complemented
159#11718607C2211yescharacteristic, complemented
160#11718607C2211yescharacteristic, complemented
161#11718606C2211yescharacteristic, complemented
162#11718606C2211yescharacteristic, complemented
163#11718606C2211yescharacteristic, complemented
164#11718606C2211yescharacteristic, complemented
165#11718606C2211yescharacteristic, complemented
166#11718605C2211yescharacteristic, complemented
167#11718605C2211yescharacteristic, complemented
168#11718605C2211yescharacteristic, complemented
169#11718603C2211yescharacteristic, complemented
170C22⋊C4×Dic13C2211yescharacteristic, complemented
171C22⋊C4×Dic13C2211yescharacteristic, complemented
172C22⋊C4×Dic13C2211yescharacteristic, complemented
173#11718336C2211yescharacteristic, complemented
174#11718334C2211yescharacteristic, complemented
175#11718331C2211yescharacteristic, complemented
176#11718330C2211yescharacteristic, complemented
177#11718329C2211yescharacteristic, complemented
178#11718329C2211yescharacteristic, complemented
179#11718325C2211yescharacteristic, complemented
180#11718325C2211yescharacteristic, complemented
181#11718320C2211yescharacteristic, complemented
182#11718319C2211yescharacteristic, complemented
183#11718316C2211yescharacteristic, complemented
184#11718316C2211yescharacteristic, complemented
185#11718314C2211yescharacteristic, complemented
186#11718313C2211yescharacteristic, complemented
187#11718313C2211yescharacteristic, complemented
188#11718312C2211yescharacteristic, complemented
189C25×C13C2311yescharacteristic
190C25×C13C2311yescharacteristic
191C24×D13C2311yescharacteristic
192C22×D4×C13—24no—
193C22×D4×C13—42no—
194C22×D4×C13—42no—
195C22×D4×C13C2311yescharacteristic
196C22×D4×C13C2311yescharacteristic
197C22×D4×C13C2311yescharacteristic
198C22×D4×C13C2311yescharacteristic
199C22×D4×C13C2311yescharacteristic
200C22×D4×C13C2311yescharacteristic
201C22×D4×C13C2311yescharacteristic
202C22×D4×C13C2311yescharacteristic
203C22×D4×C13C2311yescharacteristic
204C23×C4×C13C2311yescharacteristic
205C23×C4×C13C2311yescharacteristic
206C23×C4×C13C2311yescharacteristic
207C22×C22⋊D13—24no—
208C22×C22⋊D13—24no—
209C22×C22⋊D13—24no—
210C22×C22⋊D13C2311yescharacteristic
211C22×C22⋊D13C2311yescharacteristic
212C22×C22⋊D13C2311yescharacteristic
213C22×C22⋊D13C2311yescharacteristic
214C22×C22⋊D13C2311yescharacteristic
215C22×C22⋊D13C2311yescharacteristic
216C22×C22⋊D13C2311yescharacteristic
217C22×C22⋊D13C2311yescharacteristic
218C22×C22⋊D13C2311yescharacteristic
219C22×C22⋊D13C2311yescharacteristic
220C23×Dic13—24no—
221C23×Dic13—42no—
222C23×Dic13—42no—
223C23×Dic13C2311yescharacteristic
224C23×Dic13C2311yescharacteristic
225C23×Dic13C2311yescharacteristic
226C23×Dic13C2311yescharacteristic
227C23×Dic13C2311yescharacteristic
228C23×Dic13C2311yescharacteristic
229C23×Dic13C2311yescharacteristic
230C23×Dic13C2311yescharacteristic
231C23×Dic13C2311yescharacteristic
232C23×Dic13C2311yescharacteristic
233C22×C4×D13—24no—
234C22×C4×D13—42no—
235C22×C4×D13—42no—
236C22×C4×D13C2311yescharacteristic
237C22×C4×D13C2311yescharacteristic
238C22×C4×D13C2311yescharacteristic
239C22×C4×D13C2311yescharacteristic
240C22×Dic26C2311yescharacteristic
241C13×#121—42no—
242C13×#121—42no—
243C13×#120—24no—
244C13×#120—24no—
245C2×C13×C4⋊C4C2311yescharacteristic
246C2×C13×C4⋊C4C2311yescharacteristic
247C2×C13×C22⋊C4—24no—
248C2×C13×C22⋊C4C2311yescharacteristic
249C2×C13×C22⋊C4C2311yescharacteristic
250C2×C13×C22⋊C4C2311yescharacteristic
251C2×C13×C22⋊C4C2311yescharacteristic
252C2×C13×C22⋊C4C2311yescharacteristic
253C2×C13×C22⋊C4C2311yescharacteristic
254C2×C13×C22⋊C4C2311yescharacteristic
255C2×C13×C22⋊C4C2311yescharacteristic
256C2×C13×C22⋊C4C2311yescharacteristic
257C2×C13×C22⋊C4C2311yescharacteristic
258C2×C13×C22⋊C4C2311yescharacteristic
259C2×C13×C22⋊C4C2311yescharacteristic
260C2×C13×C22⋊C4C2311yescharacteristic
261C2×C13×C22⋊C4C2311yescharacteristic
262C2×C13×C22⋊C4C2311yescharacteristic
263#88207—24no—
264#88207—24no—
265C2×C22⋊Dic13—24no—
266C2×C22⋊Dic13—42no—
267C2×C22⋊Dic13—42no—
268C2×C22⋊Dic13C2311yescharacteristic
269C2×C22⋊Dic13C2311yescharacteristic
270C2×C22⋊Dic13C2311yescharacteristic
271C2×C22⋊Dic13C2311yescharacteristic
272C2×C22⋊Dic13C2311yescharacteristic
273C2×C22⋊Dic13C2311yescharacteristic
274C2×C22⋊Dic13C2311yescharacteristic
275C2×C22⋊Dic13C2311yescharacteristic
276C2×C22⋊Dic13C2311yescharacteristic
277C2×C22⋊Dic13C2311yescharacteristic
278C2×C22⋊Dic13C2311yescharacteristic
279C2×C22⋊Dic13C2311yescharacteristic
280C2×C22⋊Dic13C2311yescharacteristic
281C2×C22⋊Dic13C2311yescharacteristic
282C2×C22⋊Dic13C2311yescharacteristic
283C2×C22⋊Dic13C2311yescharacteristic
284C2×C22⋊Dic13C2311yescharacteristic
285C2×C22⋊Dic13C2311yescharacteristic
286C2×C22⋊Dic13C2311yescharacteristic
287C2×C22⋊Dic13C2311yescharacteristic
288C2×C22⋊Dic13C2311yescharacteristic
289C2×C22⋊Dic13C2311yescharacteristic
290C2×C22⋊Dic13C2311yescharacteristic
291C2×C22⋊Dic13C2311yescharacteristic
292C2×C22⋊Dic13C2311yescharacteristic
293C2×C22⋊Dic13C2311yescharacteristic
294C2×C22⋊Dic13C2311yescharacteristic
295#88193—24no—
296#88193—24no—
297#88193—24no—
298#88192—24no—
299#88192—42no—
300#88191—42no—
301#88191—42no—
302#88191—42no—
303#88190—24no—
304#88189—24no—
305D4×Dic13—24no—
306D4×Dic13—42no—
307D4×Dic13—42no—
308C2×#6103—24no—
309C2×#6103C2311yescharacteristic
310C2×#6103C2311yescharacteristic
311C2×#6103C2311yescharacteristic
312C2×#6103C2311yescharacteristic
313C2×#6103C2311yescharacteristic
314C2×#6103C2311yescharacteristic
315C2×#6103C2311yescharacteristic
316C2×#6103C2311yescharacteristic
317C2×#6103C2311yescharacteristic
318C2×#6103C2311yescharacteristic
319C2×#6103C2311yescharacteristic
320C2×#6103C2311yescharacteristic
321C2×#6103C2311yescharacteristic
322C2×#6103C2311yescharacteristic
323C2×C4⋊Dic13C2311yescharacteristic
324C2×C4⋊Dic13C2311yescharacteristic
325C2×C4⋊Dic13C2311yescharacteristic
326C2×C4⋊Dic13C2311yescharacteristic
327C2×C4⋊Dic13C2311yescharacteristic
328C2×C4⋊Dic13C2311yescharacteristic
329#88178—42no—
330C2×#6101—24no—
331C2×#6101C2311yescharacteristic
332C2×#6101C2311yescharacteristic
333C2×#6101C2311yescharacteristic
334C2×#6101C2311yescharacteristic
335C2×#6101C2311yescharacteristic
336C2×#6101C2311yescharacteristic
337C2×#6101C2311yescharacteristic
338C2×#6101C2311yescharacteristic
339C2×#6101C2311yescharacteristic
340C2×#6101C2311yescharacteristic
341C2×#6101C2311yescharacteristic
342C2×#6101C2311yescharacteristic
343C2×C4×Dic13—24no—
344C2×C4×Dic13C2311yescharacteristic
345C2×C4×Dic13C2311yescharacteristic
346C2×C4×Dic13C2311yescharacteristic
347C2×C4×Dic13C2311yescharacteristic
348C2×C4×Dic13C2311yescharacteristic
349C2×C4×Dic13C2311yescharacteristic
350C2×C4×Dic13C2311yescharacteristic
351#88139—24no—
352#88137—24no—
353#88137—42no—
354#88135—24no—
355#88135—24no—
356#88135—24no—
357#88135—24no—
358#88135—24no—
359#88135—24no—
360#88135—24no—
361#88135D418yescomplemented
362#88133—24no—
363#88133—24no—
364#88132—24no—
365C13×#95C2311yescharacteristic
366C13×#95C2311yescharacteristic
367C13×#95C2311yescharacteristic
368C13×#95C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#88071C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#88071C2311yescharacteristic
392#88071C2311yescharacteristic
393#88071C2311yescharacteristic
394#88071C2311yescharacteristic
395#88071C2311yescharacteristic
396#88071C2311yescharacteristic
397#34990—131nomaximal, Sylow
398C24×C13—22no—
399C24×C13—22no—
400C24×C13—22no—
401C24×C13—22no—
402C24×C13—22no—
403C24×C13—22no—
404C24×C13—22no—
405C24×C13—41no—
406C24×C13—41no—
407C24×C13—41no—
408C24×C13—41no—
409C24×C13—41no—
410C24×C13—41no—
411C24×C13#4114yes—
412C24×C13C2411yescharacteristic
413C24×C13C2411yescharacteristic
414C24×C13C2411yescharacteristic
415C24×C13C2411yescharacteristic
416C24×C13C2411yescharacteristic
417C24×C13C2411yescharacteristic
418C23×D13—22no—
419C23×D13—22no—
420C23×D13—22no—
421C23×D13—22no—
422C23×D13—22no—
423C23×D13—41no—
424C23×D13—41no—
425C23×D13C2411yescharacteristic
426C23×D13C2411yescharacteristic
427C2×D4×C13—22no—
428C2×D4×C13—22no—
429C2×D4×C13—22no—
430C2×D4×C13—22no—
431C2×D4×C13—22no—
432C2×D4×C13—22no—
433C2×D4×C13—22no—
434C2×D4×C13—22no—
435C2×D4×C13—22no—
436C2×D4×C13—22no—
437C2×D4×C13—22no—
438C2×D4×C13—22no—
439C2×D4×C13—22no—
440C2×D4×C13—22no—
441C2×D4×C13—22no—
442C2×D4×C13—22no—
443C2×D4×C13—22no—
444C2×D4×C13—41no—
445C2×D4×C13—41no—
446C2×D4×C13—41no—
447C2×D4×C13—41no—
448C2×D4×C13—41no—
449C2×D4×C13—41no—
450C2×D4×C13—41no—
451C2×D4×C13—41no—
452C2×D4×C13—41no—
453C2×D4×C13—41no—
454C2×D4×C13—416no—
455C22×C4×C13—22no—
456C22×C4×C13—22no—
457C22×C4×C13—22no—
458C22×C4×C13—22no—
459C22×C4×C13—22no—
460C22×C4×C13—41no—
461C22×C4×C13—41no—
462C22×C4×C13—41no—
463C22×C4×C13—41no—
464C22×C4×C13C2411yescharacteristic
465C22×C4×C13C2411yescharacteristic
466C22×C4×C13C2411yescharacteristic
467C22×C4×C13C2411yescharacteristic
468C22×C4×C13C2411yescharacteristic
469C22×C4×C13C2411yescharacteristic
470C22×C4×C13C2411yescharacteristic
471C22×C4×C13C2411yescharacteristic
472C22×C4×C13C2411yescharacteristic
473C2×C22⋊D13—232no—
474C2×C22⋊D13—22no—
475C2×C22⋊D13—22no—
476C2×C22⋊D13—22no—
477C2×C22⋊D13—22no—
478C2×C22⋊D13—22no—
479C2×C22⋊D13—22no—
480C2×C22⋊D13—22no—
481C2×C22⋊D13—22no—
482C2×C22⋊D13—22no—
483C2×C22⋊D13—22no—
484C2×C22⋊D13—22no—
485C2×C22⋊D13—22no—
486C2×C22⋊D13—22no—
487C2×C22⋊D13—22no—
488C2×C22⋊D13—22no—
489C2×C22⋊D13—22no—
490C2×C22⋊D13—41no—
491C2×C22⋊D13—41no—
492C2×C22⋊D13—41no—
493C2×C22⋊D13—41no—
494C2×C22⋊D13—41no—
495C2×C22⋊D13—41no—
496C2×C22⋊D13—41no—
497C2×C22⋊D13—41no—
498C2×C22⋊D13—41no—
499C2×C22⋊D13—41no—
500C2×C22⋊D13—41no—
501C2×C22⋊D13—41no—
502C2×C22⋊D13C2×D414yes—
503C2×C22⋊D13#4114yes—
504C22×Dic13—22no—
505C22×Dic13—22no—
506C22×Dic13—22no—
507C22×Dic13—22no—
508C22×Dic13—22no—
509C22×Dic13—22no—
510C22×Dic13—22no—
511C22×Dic13—22no—
512C22×Dic13—22no—
513C22×Dic13—22no—
514C22×Dic13—22no—
515C22×Dic13—22no—
516C22×Dic13—22no—
517C22×Dic13—22no—
518C22×Dic13—22no—
519C22×Dic13—22no—
520C22×Dic13—41no—
521C22×Dic13—41no—
522C22×Dic13—41no—
523C22×Dic13—41no—
524C22×Dic13—41no—
525C22×Dic13—41no—
526C22×Dic13—41no—
527C22×Dic13—41no—
528C22×Dic13—41no—
529C22×Dic13—41no—
530C22×Dic13—41no—
531C22×Dic13—41no—
532C22×Dic13—41no—
533C22×Dic13—416no—
534C22×Dic13C2×D414yes—
535C22×Dic13C2411yescharacteristic
536C22×Dic13C2411yescharacteristic
537C22×Dic13C2411yescharacteristic
538C22×Dic13C2411yescharacteristic
539C22×Dic13C2411yescharacteristic
540C22×Dic13C2411yescharacteristic
541C22×Dic13C2411yescharacteristic
542C22×Dic13C2411yescharacteristic
543C22×Dic13C2411yescharacteristic
544C22×Dic13C2411yescharacteristic
545C22×Dic13C2411yescharacteristic
546C22×Dic13C2411yescharacteristic
547C22×Dic13C2411yescharacteristic
548C22×Dic13C2411yescharacteristic
549C2×C4×D13—22no—
550C2×C4×D13—22no—
551C2×C4×D13—22no—
552C2×C4×D13—22no—
553C2×C4×D13—22no—
554C2×C4×D13—41no—
555C2×C4×D13—41no—
556C2×C4×D13—41no—
557C2×C4×D13—41no—
558C2×C4×D13—41no—
559C2×C4×D13—41no—
560C2×C4×D13—416no—
561C2×C4×D13C2×D414yescomplemented
562C2×Dic26—22no—
563C2×Dic26—41no—
564C2×Dic26—41no—
565C13×C4⋊C4—41no—
566C13×C4⋊C4—41no—
567C13×C22⋊C4—22no—
568C13×C22⋊C4—22no—
569C13×C22⋊C4—22no—
570C13×C22⋊C4—22no—
571C13×C22⋊C4—22no—
572C13×C22⋊C4—22no—
573C13×C22⋊C4—22no—
574C13×C22⋊C4—22no—
575C13×C22⋊C4—41no—
576C13×C22⋊C4—41no—
577C13×C22⋊C4—41no—
578C13×C22⋊C4—41no—
579C13×C22⋊C4—41no—
580C13×C22⋊C4—41no—
581C13×C22⋊C4C2×D414yes—
582C22⋊Dic13—22no—
583C22⋊Dic13—22no—
584C22⋊Dic13—22no—
585C22⋊Dic13—22no—
586C22⋊Dic13—22no—
587C22⋊Dic13—22no—
588C22⋊Dic13—22no—
589C22⋊Dic13—22no—
590C22⋊Dic13—22no—
591C22⋊Dic13—22no—
592C22⋊Dic13—22no—
593C22⋊Dic13—22no—
594C22⋊Dic13—22no—
595C22⋊Dic13—22no—
596C22⋊Dic13—22no—
597C22⋊Dic13—22no—
598C22⋊Dic13—22no—
599C22⋊Dic13—22no—
600C22⋊Dic13—22no—
601C22⋊Dic13—22no—
602C22⋊Dic13—41no—
603C22⋊Dic13—41no—
604C22⋊Dic13—41no—
605C22⋊Dic13—41no—
606C22⋊Dic13—41no—
607C22⋊Dic13—41no—
608C22⋊Dic13—41no—
609#6103—22no—
610#6103—22no—
611#6103—22no—
612#6103—22no—
613#6103—22no—
614#6103—41no—
615#6103—41no—
616#6103—41no—
617#6103—41no—
618#6103—41no—
619#6103—41no—
620#6103—41no—
621#6103—41no—
622#6103C2×D414yescomplemented
623C4⋊Dic13—22no—
624C4⋊Dic13—22no—
625C4⋊Dic13—22no—
626C4⋊Dic13—41no—
627C4⋊Dic13—41no—
628C4⋊Dic13—41no—
629#6101—22no—
630#6101—22no—
631#6101—22no—
632#6101—22no—
633#6101—22no—
634#6101—22no—
635#6101—22no—
636#6101—41no—
637#6101—41no—
638#6101—41no—
639#6101—41no—
640#6101C2×D414yescomplemented
641C4×Dic13—22no—
642C4×Dic13—22no—
643C4×Dic13—22no—
644C4×Dic13—22no—
645C4×Dic13—41no—
646C4×Dic13—41no—
647C4×Dic13C2×D414yescomplemented
648C2×#538—131no—
649C22×C4×D4—131no—
650#2852—131no—
651#2850—131no—
652#2849—131no—
653#2847—131no—
654#2636—131no—
655#2635—131no—
656#2631—131no—
657#2630—131no—
658#2481—131no—
659#2472—131no—
660#2467—131no—
661#2459—131no—
662#2456—131no—
663#2456—131no—
664#2450—131no—
665#2444—131no—
666#2443—131no—
667#2437—131no—
668#2424—131no—
669#2424—131no—
670#2418—131no—
671#2410—131no—
672#2410D1311yescharacteristic, complemented
673#2403—131no—
674#2325—131no—
675#2321—131no—
676#2318—131no—
677C4×#120—131no—
678C2×#386—131no—
679C23×C13—21no—
680C23×C13—21no—
681C23×C13—21no—
682C23×C13—21no—
683C23×C13—21no—
684C23×C13—21no—
685C23×C13—21no—
686C23×C13—21no—
687C23×C13—28no—
688C23×C13—28no—
689C23×C13—21no—
690C23×C13—21no—
691C23×C13—21no—
692C23×C13—21no—
693C23×C13—21no—
694C23×C13—21no—
695C23×C13—21no—
696C23×C13—21no—
697C23×C13—21no—
698C23×C13—21no—
699C23×C13—21no—
700C23×C13—21no—
701C23×C13—21no—
702C23×C13—21no—
703C23×C13—21no—
704C23×C13—21no—
705C23×C13—21no—
706C23×C13—21no—
707C23×C13—21no—
708C23×C13—21no—
709C23×C13—21no—
710C23×C13—21no—
711C23×C13—21no—
712C23×C13—21no—
713C23×C13—21no—
714C23×C13—21no—
715C23×C13—21no—
716C23×C13—44no—
717C23×C13—44no—
718C23×C13—44no—
719C23×C13—44no—
720C23×C13—44no—
721C23×C13—44no—
722C23×C13—44no—
723C23×C13—44no—
724C23×C13—82no—
725C23×C13—82no—
726C23×C13—82no—
727C23×C13—82no—
728C23×C13C22×D412yes—
729C23×C13C2×#4112yes—
730C23×C13C2×#4112yes—
731C23×C13C2×#4112yes—
732C23×C13C2×#4112yes—
733C23×C13H(5,𝔽2)12yes—
734C23×C13H(5,𝔽2)12yes—
735C23×C13C2511yescharacteristic
736C22×D13—28no—
737C22×D13—21no—
738C22×D13—21no—
739C22×D13—21no—
740C22×D13—21no—
741C22×D13—21no—
742C22×D13—21no—
743C22×D13—21no—
744C22×D13—21no—
745C22×D13—21no—
746C22×D13—21no—
747C22×D13—21no—
748C22×D13—21no—
749C22×D13—44no—
750C22×D13—44no—
751C22×D13—44no—
752C22×D13—44no—
753C22×D13—44no—
754C22×D13—44no—
755C22×D13C22×D412yes—
756C22×D13C2×#4112yes—
757D4×C13—44no—
758D4×C13—44no—
759D4×C13—44no—
760D4×C13—44no—
761D4×C13—44no—
762D4×C13—44no—
763D4×C13—44no—
764D4×C13—82no—
765D4×C13—82no—
766C2×C4×C13—21no—
767C2×C4×C13—21no—
768C2×C4×C13—21no—
769C2×C4×C13—21no—
770C2×C4×C13—21no—
771C2×C4×C13—21no—
772C2×C4×C13—21no—
773C2×C4×C13—21no—
774C2×C4×C13—21no—
775C2×C4×C13—21no—
776C2×C4×C13—21no—
777C2×C4×C13—21no—
778C2×C4×C13—21no—
779C2×C4×C13—21no—
780C2×C4×C13—21no—
781C2×C4×C13—21no—
782C2×C4×C13—21no—
783C2×C4×C13—21no—
784C2×C4×C13—21no—
785C2×C4×C13—21no—
786C2×C4×C13—21no—
787C2×C4×C13—21no—
788C2×C4×C13—21no—
789C2×C4×C13—21no—
790C2×C4×C13—21no—
791C2×C4×C13—44no—
792C2×C4×C13—44no—
793C2×C4×C13—44no—
794C2×C4×C13C22×D412yes—
795C2×C4×C13C22×D412yes—
796C22⋊D13—28no—
797C22⋊D13—28no—
798C22⋊D13—28no—
799C22⋊D13—28no—
800C22⋊D13—82no—
801C22⋊D13—82no—
802C22⋊D13—82no—
803C22⋊D13—82no—
804C22⋊D13—82no—
805C22⋊D13—82no—
806C2×Dic13—28no—
807C2×Dic13—28no—
808C2×Dic13—21no—
809C2×Dic13—21no—
810C2×Dic13—21no—
811C2×Dic13—21no—
812C2×Dic13—21no—
813C2×Dic13—21no—
814C2×Dic13—21no—
815C2×Dic13—21no—
816C2×Dic13—21no—
817C2×Dic13—21no—
818C2×Dic13—21no—
819C2×Dic13—21no—
820C2×Dic13—21no—
821C2×Dic13—21no—
822C2×Dic13—21no—
823C2×Dic13—21no—
824C2×Dic13—21no—
825C2×Dic13—21no—
826C2×Dic13—21no—
827C2×Dic13—21no—
828C2×Dic13—21no—
829C2×Dic13—21no—
830C2×Dic13—21no—
831C2×Dic13—21no—
832C2×Dic13—21no—
833C2×Dic13—21no—
834C2×Dic13—21no—
835C2×Dic13—21no—
836C2×Dic13—21no—
837C2×Dic13—21no—
838C2×Dic13—21no—
839C2×Dic13—21no—
840C2×Dic13—21no—
841C2×Dic13—21no—
842C2×Dic13—21no—
843C2×Dic13—21no—
844C2×Dic13—21no—
845C2×Dic13—44no—
846C2×Dic13—44no—
847C2×Dic13—44no—
848C2×Dic13—44no—
849C2×Dic13—44no—
850C2×Dic13—82no—
851C2×Dic13—82no—
852C2×Dic13—82no—
853C2×Dic13C22×D412yes—
854C2×Dic13C22×D412yes—
855C2×Dic13C22×D412yes—
856C2×Dic13C2×#4112yes—
857C2×Dic13H(5,𝔽2)12yes—
858C4×D13—44no—
859C4×D13—44no—
860C4×D13—44no—
861C4×D13—44no—
862Dic26—82no—
863C23×D4—131no—
864C23×D4C2×D1311yescharacteristic
865C24×C4—131no—
866C24×C4—131no—
867#538—268no—
868C2×#126—131no—
869C2×#126—131no—
870C2×#124—131no—
871C2×#124—131no—
872C2×#123—131no—
873C2×#123—131no—
874C2×#123—131no—
875C2×C22⋊Q8—131no—
876C2×C22⋊Q8—131no—
877C2×#121—131no—
878C2×#121—131no—
879C2×#121—131no—
880C2×#121—131no—
881C2×#121—131no—
882C2×#121C2×D1311yescharacteristic
883C2×#121C2×D1311yescharacteristic
884C2×#120—131no—
885C2×#120—131no—
886C2×#120—131no—
887C2×#120—131no—
888C2×#120—131no—
889C2×#120C2×D1311yescharacteristic
890C2×#120C2×D1311yescharacteristic, complemented
891C2×C4×D4—131no—
892C2×C4×D4—131no—
893C2×C4×D4—131no—
894C2×C4×D4—131no—
895C2×C4×D4—131no—
896C2×C4×D4—131no—
897C2×C4×D4—131no—
898C2×C4×D4—131no—
899C2×C4×D4—131no—
900C2×C4×D4—131no—
901C2×C4×D4—131no—
902C2×C4×D4—268no—
903C22×C4⋊C4—131no—
904C22×C22⋊C4—131no—
905C22×C22⋊C4—131no—
906C22×C22⋊C4—131no—
907C22×C22⋊C4—131no—
908C22×C22⋊C4C2×D1311yescharacteristic
909C22×C42—131no—
910#400—131no—
911#400—131no—
912#399—131no—
913#399—131no—
914#398—131no—
915#397—131no—
916#397—131no—
917#397—131no—
918#396—131no—
919#396—131no—
920#396—131no—
921#396—131no—
922#394—131no—
923#394—131no—
924#394—131no—
925#394—131no—
926#394—131no—
927#394—131no—
928#394—131no—
929#394C2×D1311yescharacteristic, complemented
930#394C2×D1311yescharacteristic, complemented
931#393—131no—
932#393—131no—
933#392—131no—
934#392—131no—
935#392—131no—
936#392—131no—
937#392—131no—
938#392—131no—
939#392—131no—
940#392C2×D1311yescharacteristic, complemented
941#392C2×D1311yescharacteristic, complemented
942#391—131no—
943#390—131no—
944#390—131no—
945#390—131no—
946#388—131no—
947#388—131no—
948#388—131no—
949#388—131no—
950#388—131no—
951#388—131no—
952#388—131no—
953#388—131no—
954#388—131no—
955#388—131no—
956#388—131no—
957#388—131no—
958#387—131no—
959#387—131no—
960#387—131no—
961#387—131no—
962#387—131no—
963#387—131no—
964#386—131no—
965#386—131no—
966#386—131no—
967#386—131no—
968#386—131no—
969#386—131no—
970#386—131no—
971#386—131no—
972#386—131no—
973#386—131no—
974#386—131no—
975#386—131no—
976#386—131no—
977#386—131no—
978#386—131no—
979#386—131no—
980#386—131no—
981#386—131no—
982#386—131no—
983#386—131no—
984#386—131no—
985#386—131no—
986#386—131no—
987#386—131no—
988#386—131no—
989#386C2×D1311yescharacteristic
990#386C2×D1311yescharacteristic
991#386C2×D1311yescharacteristic, complemented
992#385—131no—
993#385—131no—
994#385—131no—
995#385—131no—
996#385—131no—
997#385—131no—
998#385—131no—
999#385—131no—
1000#385—131no—
1001#385—131no—
1002#385—131no—
1003#385C2×D1311yescharacteristic, complemented
1004#383—131no—
1005#382—131no—
1006#381—131no—
1007#381—131no—
1008#380—131no—
1009#380—131no—
1010#380—131no—
1011#380—131no—
1012#379—131no—
1013#379—131no—
1014#379C2×D1311yescharacteristic, complemented
1015C4×C22⋊C4—131no—
1016C4×C22⋊C4—131no—
1017C4×C22⋊C4—131no—
1018C2×#95—131no—
1019C2×#95—131no—
1020C22×C13—22no—
1021C22×C13—22no—
1022C22×C13—22no—
1023C22×C13—22no—
1024C22×C13—22no—
1025C22×C13—22no—
1026C22×C13—22no—
1027C22×C13—22no—
1028C22×C13—22no—
1029C22×C13—22no—
1030C22×C13—22no—
1031C22×C13—22no—
1032C22×C13—22no—
1033C22×C13—22no—
1034C22×C13—22no—
1035C22×C13—416no—
1036C22×C13—41no—
1037C22×C13—41no—
1038C22×C13—41no—
1039C22×C13—41no—
1040C22×C13—41no—
1041C22×C13—41no—
1042C22×C13—41no—
1043C22×C13—41no—
1044C22×C13—41no—
1045C22×C13—41no—
1046C22×C13—41no—
1047C22×C13—41no—
1048C22×C13—41no—
1049C22×C13—41no—
1050C22×C13—41no—
1051C22×C13—41no—
1052C22×C13—41no—
1053C22×C13—41no—
1054C22×C13—41no—
1055C22×C13—41no—
1056C22×C13—41no—
1057C22×C13—41no—
1058C22×C13—41no—
1059C22×C13—41no—
1060C22×C13—41no—
1061C22×C13—88no—
1062C22×C13#52514yes—
1063C22×C13#53814yescomplemented
1064C22×C13C23×D411yescharacteristic
1065C22×C13C22×#4111yescharacteristic
1066C22×C13C22×#4111yescharacteristic
1067C22×C13C2×H(5,𝔽2)11yescharacteristic
1068C22×C13C2×H(5,𝔽2)11yescharacteristic
1069C22×C13C2×H(5,𝔽2)11yescharacteristic
1070C22×C13#58511yescharacteristic
1071C2×D13—22no—
1072C2×D13—22no—
1073C2×D13—22no—
1074C2×D13—22no—
1075C2×D13—22no—
1076C2×D13—22no—
1077C2×D13—416no—
1078C2×D13—41no—
1079C2×D13—41no—
1080C2×D13—41no—
1081C2×D13—41no—
1082C2×D13—41no—
1083C2×D13—41no—
1084C2×D13—41no—
1085C2×D13—41no—
1086C4×C13—22no—
1087C4×C13—22no—
1088C4×C13—41no—
1089C4×C13—41no—
1090C4×C13—41no—
1091C4×C13—41no—
1092C4×C13—41no—
1093C4×C13—41no—
1094C4×C13—41no—
1095Dic13—22no—
1096Dic13—22no—
1097Dic13—22no—
1098Dic13—22no—
1099Dic13—22no—
1100Dic13—41no—
1101Dic13—41no—
1102Dic13—41no—
1103Dic13—41no—
1104Dic13—41no—
1105Dic13—41no—
1106Dic13—41no—
1107Dic13—41no—
1108Dic13—41no—
1109C25—131no—
1110C25C22×D1311yescharacteristic
1111C25C22×D1311yescharacteristic
1112C22×Q8—131no—
1113C22×D4—24no—
1114C22×D4—42no—
1115C22×D4—42no—
1116C22×D4—131no—
1117C22×D4—131no—
1118C22×D4—131no—
1119C22×D4—131no—
1120C22×D4—131no—
1121C22×D4—131no—
1122C22×D4—131no—
1123C22×D4—131no—
1124C22×D4—131no—
1125C22×D4—131no—
1126C22×D4—264no—
1127C22×D4—264no—
1128C22×D4—264no—
1129C22×D4C22×D1311yescharacteristic
1130C22×D4C22×D1311yescharacteristic
1131C22×D4C22×D1311yescharacteristic
1132C22×D4C22×D1311yescharacteristic
1133C22×D4C22×D1311yescharacteristic
1134C22×D4C22×D1311yescharacteristic
1135C22×D4C22×D1311yescharacteristic
1136C22×D4C22×D1311yescharacteristic
1137C22×D4C22×D1311yescharacteristic
1138C23×C4—131no—
1139C23×C4—131no—
1140C23×C4—131no—
1141C23×C4—131no—
1142C23×C4—131no—
1143C23×C4—131no—
1144C23×C4—131no—
1145C23×C4—131no—
1146C23×C4—131no—
1147C23×C4—131no—
1148C23×C4—131no—
1149C23×C4—131no—
1150C23×C4—131no—
1151C23×C4—131no—
1152C23×C4—264no—
1153C23×C4—264no—
1154C23×C4—522no—
1155C23×C4—522no—
1156C23×C4—522no—
1157C23×C4—522no—
1158C23×C4C22×D1311yescharacteristic
1159C23×C4C22×D1311yescharacteristic
1160C23×C4C22×D1311yescharacteristic
1161#126—264no—
1162#126—264no—
1163#124—264no—
1164#124—264no—
1165#123—264no—
1166#123—264no—
1167#123—522no—
1168C22⋊Q8—264no—
1169C22⋊Q8—522no—
1170#121—42no—
1171#121—42no—
1172#121—264no—
1173#121—264no—
1174#121—264no—
1175#121—264no—
1176#121—522no—
1177#120—24no—
1178#120—24no—
1179#120—264no—
1180#120—264no—
1181#120—522no—
1182#120—522no—
1183#120—522no—
1184C4×D4—138no—
1185C4×D4—264no—
1186C4×D4—264no—
1187C4×D4—264no—
1188C4×D4—264no—
1189C4×D4—264no—
1190C4×D4—264no—
1191C4×D4—264no—
1192C4×D4—264no—
1193C4×D4—522no—
1194C4×D4—522no—
1195C2×C4⋊C4—131no—
1196C2×C4⋊C4—131no—
1197C2×C4⋊C4—131no—
1198C2×C4⋊C4—131no—
1199C2×C4⋊C4—131no—
1200C2×C4⋊C4—131no—
1201C2×C4⋊C4—131no—
1202C2×C4⋊C4—131no—
1203C2×C4⋊C4—131no—
1204C2×C4⋊C4—131no—
1205C2×C4⋊C4—131no—
1206C2×C4⋊C4—131no—
1207C2×C4⋊C4—131no—
1208C2×C4⋊C4—131no—
1209C2×C4⋊C4—131no—
1210C2×C4⋊C4—131no—
1211C2×C4⋊C4—131no—
1212C2×C4⋊C4—131no—
1213C2×C4⋊C4—264no—
1214C2×C4⋊C4C22×D1311yescharacteristic
1215C2×C4⋊C4C22×D1311yescharacteristic
1216C2×C22⋊C4—24no—
1217C2×C22⋊C4—131no—
1218C2×C22⋊C4—131no—
1219C2×C22⋊C4—131no—
1220C2×C22⋊C4—131no—
1221C2×C22⋊C4—131no—
1222C2×C22⋊C4—131no—
1223C2×C22⋊C4—131no—
1224C2×C22⋊C4—131no—
1225C2×C22⋊C4—131no—
1226C2×C22⋊C4—131no—
1227C2×C22⋊C4—131no—
1228C2×C22⋊C4—131no—
1229C2×C22⋊C4—131no—
1230C2×C22⋊C4—131no—
1231C2×C22⋊C4—131no—
1232C2×C22⋊C4—131no—
1233C2×C22⋊C4—131no—
1234C2×C22⋊C4—131no—
1235C2×C22⋊C4—131no—
1236C2×C22⋊C4—131no—
1237C2×C22⋊C4—131no—
1238C2×C22⋊C4—131no—
1239C2×C22⋊C4—131no—
1240C2×C22⋊C4—131no—
1241C2×C22⋊C4—131no—
1242C2×C22⋊C4—131no—
1243C2×C22⋊C4—131no—
1244C2×C22⋊C4—131no—
1245C2×C22⋊C4—131no—
1246C2×C22⋊C4—131no—
1247C2×C22⋊C4—131no—
1248C2×C22⋊C4—131no—
1249C2×C22⋊C4—131no—
1250C2×C22⋊C4—131no—
1251C2×C22⋊C4—131no—
1252C2×C22⋊C4—131no—
1253C2×C22⋊C4—131no—
1254C2×C22⋊C4—131no—
1255C2×C22⋊C4—131no—
1256C2×C22⋊C4—131no—
1257C2×C22⋊C4—131no—
1258C2×C22⋊C4—264no—
1259C2×C22⋊C4—264no—
1260C2×C22⋊C4—522no—
1261C2×C22⋊C4—522no—
1262C2×C22⋊C4C22×D1311yescharacteristic
1263C2×C22⋊C4C22×D1311yescharacteristic
1264C2×C22⋊C4C22×D1311yescharacteristic
1265C2×C22⋊C4C22×D1311yescharacteristic
1266C2×C22⋊C4C22×D1311yescharacteristic
1267C2×C22⋊C4C22×D1311yescharacteristic
1268C2×C22⋊C4C22×D1311yescharacteristic
1269C2×C22⋊C4C22×D1311yescharacteristic
1270C2×C22⋊C4C22×D1311yescharacteristic
1271C2×C22⋊C4C22×D1311yescharacteristic
1272C2×C22⋊C4C22×D1311yescharacteristic
1273C2×C22⋊C4C22×D1311yescharacteristic
1274C2×C22⋊C4C22×D1311yescharacteristic
1275C2×C22⋊C4C22×D1311yescharacteristic
1276C2×C22⋊C4C22×D1311yescharacteristic
1277C2×C42—131no—
1278C2×C42—131no—
1279C2×C42—131no—
1280C2×C42—131no—
1281C2×C42—131no—
1282C2×C42—131no—
1283C2×C42—131no—
1284C2×C42—264no—
1285#95—131no—
1286#95—131no—
1287#95—131no—
1288#95—131no—
1289#95—131no—
1290#95—131no—
1291#95—131no—
1292#95—131no—
1293#95—131no—
1294#95—131no—
1295#95—131no—
1296#95—131no—
1297#95—131no—
1298#95—131no—
1299#95—131no—
1300#95—131no—
1301#95—131no—
1302#95—131no—
1303#95—131no—
1304#95—131no—
1305#95—131no—
1306#95—131no—
1307#95—131no—
1308#95—131no—
1309#95—131no—
1310#95—131no—
1311#95—131no—
1312#95—131no—
1313#95C22×D1311yescharacteristic
1314#95C22×D1311yescharacteristic
1315#95C22×D1311yescharacteristic
1316#95C22×D1311yescharacteristic
1317C2×C13—24no—
1318C2×C13—24no—
1319C2×C13—42no—
1320C2×C13—81no—
1321C2×C13—81no—
1322C2×C13—81no—
1323C2×C13C2×#52511yescharacteristic
1324C2×C13C2×#53811yescharacteristic
1325C2×C13#345911yescharacteristic
1326C2×C13#348411yescharacteristic
1327C2×C13#348811yescharacteristic
1328C2×C13#351311yescharacteristic
1329C2×C13#351911yescharacteristic
1330D13—42no—
1331D13—42no—
1332C24—22no—
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—41no—
1340C24—41no—
1341C24—41no—
1342C24—41no—
1343C24—41no—
1344C24—41no—
1345C24—131no—
1346C24—131no—
1347C24—262no—
1348C24—262no—
1349C24—262no—
1350C24—262no—
1351C24—262no—
1352C24—521no—
1353C24—521no—
1354C24#612914yes—
1355C24C23×D1311yescharacteristic
1356C24C23×D1311yescharacteristic
1357C24C23×D1311yescharacteristic
1358C24C23×D1311yescharacteristic
1359C24C23×D1311yescharacteristic
1360C24C23×D1311yescharacteristic
1361C2×Q8—262no—
1362C2×Q8—521no—
1363C2×Q8—521no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—416no—
1392C2×D4—134no—
1393C2×D4—134no—
1394C2×D4—262no—
1395C2×D4—262no—
1396C2×D4—262no—
1397C2×D4—262no—
1398C2×D4—2632no—
1399C2×D4—262no—
1400C2×D4—262no—
1401C2×D4—262no—
1402C2×D4—262no—
1403C2×D4—262no—
1404C2×D4—262no—
1405C2×D4—262no—
1406C2×D4—262no—
1407C2×D4—262no—
1408C2×D4—262no—
1409C2×D4—262no—
1410C2×D4—262no—
1411C2×D4—521no—
1412C2×D4—521no—
1413C2×D4—521no—
1414C2×D4—521no—
1415C2×D4—521no—
1416C2×D4—521no—
1417C2×D4—521no—
1418C2×D4—521no—
1419C2×D4—521no—
1420C2×D4—521no—
1421C2×D4—521no—
1422C2×D4—521no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—131no—
1433C22×C4—131no—
1434C22×C4—131no—
1435C22×C4—131no—
1436C22×C4—131no—
1437C22×C4—134no—
1438C22×C4—134no—
1439C22×C4—131no—
1440C22×C4—131no—
1441C22×C4—131no—
1442C22×C4—131no—
1443C22×C4—131no—
1444C22×C4—131no—
1445C22×C4—131no—
1446C22×C4—131no—
1447C22×C4—131no—
1448C22×C4—262no—
1449C22×C4—262no—
1450C22×C4—262no—
1451C22×C4—262no—
1452C22×C4—262no—
1453C22×C4—262no—
1454C22×C4—262no—
1455C22×C4—262no—
1456C22×C4—262no—
1457C22×C4—262no—
1458C22×C4—262no—
1459C22×C4—262no—
1460C22×C4—262no—
1461C22×C4—262no—
1462C22×C4—262no—
1463C22×C4—262no—
1464C22×C4—262no—
1465C22×C4—262no—
1466C22×C4—262no—
1467C22×C4—262no—
1468C22×C4—262no—
1469C22×C4—521no—
1470C22×C4—521no—
1471C22×C4—521no—
1472C22×C4—521no—
1473C22×C4—521no—
1474C22×C4—521no—
1475C22×C4—5216no—
1476C22×C4—521no—
1477C22×C4—521no—
1478C22×C4—521no—
1479C22×C4—521no—
1480C22×C4—521no—
1481C22×C4—521no—
1482C22×C4—521no—
1483C22×C4—521no—
1484C22×C4—521no—
1485C22×C4—521no—
1486C22×C4—521no—
1487C22×C4—521no—
1488C22×C4—521no—
1489C22×C4—5216no—
1490C22×C4C23×D1311yescharacteristic
1491C22×C4C23×D1311yescharacteristic
1492C22×C4C23×D1311yescharacteristic
1493C22×C4C23×D1311yescharacteristic
1494C22×C4C23×D1311yescharacteristic
1495C22×C4C23×D1311yescharacteristic
1496C22×C4C23×D1311yescharacteristic
1497C22×C4C23×D1311yescharacteristic
1498C22×C4C23×D1311yescharacteristic
1499C4⋊C4—41no—
1500C4⋊C4—41no—
1501C4⋊C4—134no—
1502C4⋊C4—262no—
1503C4⋊C4—262no—
1504C4⋊C4—262no—
1505C4⋊C4—262no—
1506C4⋊C4—262no—
1507C4⋊C4—262no—
1508C4⋊C4—262no—
1509C4⋊C4—262no—
1510C4⋊C4—262no—
1511C4⋊C4—262no—
1512C4⋊C4—521no—
1513C4⋊C4—521no—
1514C4⋊C4—521no—
1515C4⋊C4—521no—
1516C4⋊C4—521no—
1517C4⋊C4—521no—
1518C4⋊C4—521no—
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—134no—
1534C22⋊C4—262no—
1535C22⋊C4—262no—
1536C22⋊C4—262no—
1537C22⋊C4—262no—
1538C22⋊C4—262no—
1539C22⋊C4—262no—
1540C22⋊C4—262no—
1541C22⋊C4—262no—
1542C22⋊C4—262no—
1543C22⋊C4—262no—
1544C22⋊C4—262no—
1545C22⋊C4—262no—
1546C22⋊C4—262no—
1547C22⋊C4—262no—
1548C22⋊C4—262no—
1549C22⋊C4—262no—
1550C22⋊C4—262no—
1551C22⋊C4—262no—
1552C22⋊C4—262no—
1553C22⋊C4—262no—
1554C22⋊C4—262no—
1555C22⋊C4—262no—
1556C22⋊C4—262no—
1557C22⋊C4—262no—
1558C22⋊C4—262no—
1559C22⋊C4—521no—
1560C22⋊C4—521no—
1561C22⋊C4—521no—
1562C22⋊C4—521no—
1563C22⋊C4—521no—
1564C22⋊C4—521no—
1565C22⋊C4—521no—
1566C22⋊C4—521no—
1567C22⋊C4—521no—
1568C22⋊C4—521no—
1569C22⋊C4—521no—
1570C22⋊C4—521no—
1571C22⋊C4—521no—
1572C22⋊C4—521no—
1573C22⋊C4—521no—
1574C22⋊C4D4×D1314yes—
1575C42—134no—
1576C42—262no—
1577C42—262no—
1578C42—262no—
1579C42—262no—
1580C42—521no—
1581C42—521no—
1582C13#3499011yescharacteristic, complemented, Sylow
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—28no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—44no—
1624C23—44no—
1625C23—44no—
1626C23—44no—
1627C23—44no—
1628C23—82no—
1629C23—82no—
1630C23—82no—
1631C23—82no—
1632C23—132no—
1633C23—132no—
1634C23—268no—
1635C23—261no—
1636C23—261no—
1637C23—261no—
1638C23—261no—
1639C23—261no—
1640C23—261no—
1641C23—261no—
1642C23—261no—
1643C23—261no—
1644C23—261no—
1645C23—261no—
1646C23—261no—
1647C23—524no—
1648C23—524no—
1649C23—524no—
1650C23—524no—
1651C23—524no—
1652C23—524no—
1653C23C2×D4×D1312yes—
1654C23C2×#612912yes—
1655C23C2×#612912yes—
1656C23C2×#612912yes—
1657C23#8825112yes—
1658C23#8825112yes—
1659C23#41×D1312yes—
1660C23C24×D1311yescharacteristic
1661Q8—1042no—
1662D4—44no—
1663D4—44no—
1664D4—44no—
1665D4—44no—
1666D4—44no—
1667D4—44no—
1668D4—44no—
1669D4—82no—
1670D4—82no—
1671D4—268no—
1672D4—268no—
1673D4—268no—
1674D4—268no—
1675D4—1042no—
1676D4—1042no—
1677D4—1042no—
1678D4—1042no—
1679D4—1042no—
1680D4—1042no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—132no—
1710C2×C4—132no—
1711C2×C4—132no—
1712C2×C4—132no—
1713C2×C4—132no—
1714C2×C4—268no—
1715C2×C4—268no—
1716C2×C4—261no—
1717C2×C4—261no—
1718C2×C4—261no—
1719C2×C4—261no—
1720C2×C4—261no—
1721C2×C4—261no—
1722C2×C4—261no—
1723C2×C4—261no—
1724C2×C4—261no—
1725C2×C4—261no—
1726C2×C4—261no—
1727C2×C4—261no—
1728C2×C4—261no—
1729C2×C4—261no—
1730C2×C4—261no—
1731C2×C4—261no—
1732C2×C4—261no—
1733C2×C4—261no—
1734C2×C4—261no—
1735C2×C4—261no—
1736C2×C4—261no—
1737C2×C4—261no—
1738C2×C4—261no—
1739C2×C4—261no—
1740C2×C4—261no—
1741C2×C4—261no—
1742C2×C4—261no—
1743C2×C4—261no—
1744C2×C4—261no—
1745C2×C4—261no—
1746C2×C4—261no—
1747C2×C4—261no—
1748C2×C4—261no—
1749C2×C4—261no—
1750C2×C4—261no—
1751C2×C4—261no—
1752C2×C4—261no—
1753C2×C4—524no—
1754C2×C4—524no—
1755C2×C4—524no—
1756C2×C4—524no—
1757C2×C4—524no—
1758C2×C4—524no—
1759C2×C4—524no—
1760C2×C4—524no—
1761C2×C4—524no—
1762C2×C4—1042no—
1763C2×C4—1042no—
1764C2×C4—1042no—
1765C2×C4C2×D4×D1312yes—
1766C2×C4C2×D4×D1312yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—416no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—88no—
1809C22—262no—
1810C22—262no—
1811C22—262no—
1812C22—262no—
1813C22—262no—
1814C22—262no—
1815C22—5216no—
1816C22—521no—
1817C22—521no—
1818C22—521no—
1819C22—521no—
1820C22—521no—
1821C22—521no—
1822C22—521no—
1823C22—521no—
1824C22#1171929814yescomplemented
1825C22#1171931114yes—
1826C22C22×D4×D1311yescharacteristic
1827C22C22×#612911yescharacteristic
1828C22C2×#8825111yescharacteristic
1829C22C2×#8825111yescharacteristic
1830C22C2×#41×D1311yescharacteristic
1831C22D13×H(5,𝔽2)11yescharacteristic
1832C22#1171965011yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—262no—
1843C4—262no—
1844C4—262no—
1845C4—262no—
1846C4—262no—
1847C4—521no—
1848C4—521no—
1849C4—521no—
1850C4—521no—
1851C4—521no—
1852C4—521no—
1853C4—521no—
1854C4—521no—
1855C4—521no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—81no—
1860C2—81no—
1861C2—81no—
1862C2—522no—
1863C2—522no—
1864C2C2×#1171931111yescharacteristic
1865C2C2×#1171929811yescharacteristic
1866C2#1312824211yescharacteristic
1867C2#1312846411yescharacteristic
1868C2#1312849611yescharacteristic
1869C2#1312876911yescharacteristic
1870C2#1312885711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2410C2
hypercenter#2410D13
hypocenterC13#34990
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#11719298C2semidirect
2. C22×#88135C2semidirect
3. #13123149C2semidirect
4. #13123135C2semidirect
5. #13123127C2semidirect
6. #13123115C2semidirect
7. #13120738C2semidirect
8. #13120725C2semidirect
9. #13120693C2semidirect
10. #13120680C2semidirect
11. #13119102C2semidirect
12. #13118967C2semidirect
13. #13118888C2semidirect
14. #13118774C2semidirect
15. #13118729C2semidirect
16. #13118723C2semidirect
17. #13118658C2semidirect
18. #13118592C2semidirect
19. #13118567C2semidirect
20. #13118497C2semidirect
21. #13118378C2semidirect
22. #13118368C2semidirect
23. #13118302C2semidirect
24. #13118211C2semidirect
25. #13118146C2semidirect
26. #13117537C2semidirect
27. #13117491C2semidirect
28. #13117464C2semidirect
29. #120×Dic13C2semidirect
30. C2×#11718881C2semidirect
31. C13×#2410C2semidirect
35. C23×C4×D13C22semidirect
39. C2×C13×#120C22semidirect
44. C22×C22⋊Dic13C22semidirect
45. C22×C22⋊Dic13C22semidirect
48. C2×#88193C22semidirect
49. C2×#88192C22semidirect
50. C2×#88192C22semidirect
53. C2×#88191C22semidirect
54. C2×#88190C22semidirect
55. C2×#88189C22semidirect
56. C2×D4×Dic13C22semidirect
57. C2×D4×Dic13C22semidirect
58. C2×D4×Dic13C22semidirect
59. C22×#6103C22semidirect
60. C2×#88178C22semidirect
61. C22×#6101C22semidirect
62. C22×C4×Dic13C22semidirect
64. C2×#88139C22semidirect
65. C2×#88137C22semidirect
66. C2×#88137C22semidirect
72. C2×#88135C22semidirect
73. C2×#88135C22semidirect
74. C2×#88135C22semidirect
75. C2×#88135C22semidirect
76. C2×#88133C22semidirect
77. C2×#88133C22semidirect
78. C2×#88132C22semidirect
79. C13×#394C22semidirect
80. C13×#394C22semidirect
81. C13×#392C22semidirect
82. C13×#392C22semidirect
85. C13×#386C22semidirect
86. C13×#385C22semidirect
87. C13×#379C22semidirect
93. #11718884C22semidirect
94. #11718884C22semidirect
95. #11718884C22semidirect
96. #11718883C22semidirect
97. #11718882C22semidirect
104. #11718881C22semidirect
105. #11718881C22semidirect
106. #11718881C22semidirect
107. #11718881C22semidirect
108. #11718881C22semidirect
109. #11718881C22semidirect
110. #11718881C22semidirect
111. #11718881C22semidirect
114. #11718873C22semidirect
115. #11718871C22semidirect
116. #11718871C22semidirect
117. C2×#88071C22semidirect
118. C2×#88071C22semidirect
119. #11718655C22semidirect
120. #11718651C22semidirect
121. #11718648C22semidirect
122. #11718648C22semidirect
123. #11718644C22semidirect
124. #11718639C22semidirect
125. #11718638C22semidirect
126. #11718635C22semidirect
127. #11718622C22semidirect
128. #11718622C22semidirect
129. #11718620C22semidirect
130. #11718620C22semidirect
131. #11718620C22semidirect
132. #11718620C22semidirect
135. #11718619C22semidirect
136. #11718618C22semidirect
137. #11718618C22semidirect
138. #11718617C22semidirect
139. #11718617C22semidirect
140. #11718617C22semidirect
141. #11718617C22semidirect
142. #11718617C22semidirect
143. #11718617C22semidirect
144. #11718616C22semidirect
145. #11718613C22semidirect
146. #11718613C22semidirect
147. #11718612C22semidirect
148. #11718611C22semidirect
149. #11718611C22semidirect
150. #11718611C22semidirect
151. #11718611C22semidirect
152. #11718610C22semidirect
153. #11718610C22semidirect
154. #11718609C22semidirect
155. #11718609C22semidirect
156. #11718609C22semidirect
157. #11718608C22semidirect
158. #11718607C22semidirect
159. #11718607C22semidirect
160. #11718607C22semidirect
161. #11718606C22semidirect
162. #11718606C22semidirect
163. #11718606C22semidirect
164. #11718606C22semidirect
165. #11718606C22semidirect
166. #11718605C22semidirect
167. #11718605C22semidirect
168. #11718605C22semidirect
169. #11718603C22semidirect
170. C22⋊C4×Dic13C22semidirect
171. C22⋊C4×Dic13C22semidirect
172. C22⋊C4×Dic13C22semidirect
173. #11718336C22semidirect
174. #11718334C22semidirect
175. #11718331C22semidirect
176. #11718330C22semidirect
177. #11718329C22semidirect
178. #11718329C22semidirect
179. #11718325C22semidirect
180. #11718325C22semidirect
181. #11718320C22semidirect
182. #11718319C22semidirect
183. #11718316C22semidirect
184. #11718316C22semidirect
185. #11718314C22semidirect
186. #11718313C22semidirect
187. #11718313C22semidirect
188. #11718312C22semidirect
361. #88135D4semidirect
561. C2×C4×D13C2×D4semidirect
622. #6103C2×D4semidirect
640. #6101C2×D4semidirect
647. C4×Dic13C2×D4semidirect
672. #2410D13semidirect
890. C2×#120C2×D13semidirect
929. #394C2×D13semidirect
930. #394C2×D13semidirect
940. #392C2×D13semidirect
941. #392C2×D13semidirect
991. #386C2×D13semidirect
1003. #385C2×D13semidirect
1014. #379C2×D13semidirect
1063. C22×C13#538semidirect
1582. C13#34990semidirect
1824. C22#11719298semidirect

Maximal subgroups

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

subgroupindex
C2×#117192982
C22×#881352
#131231492
#131231352
#131231272
#131231152
#131207382
#131207252
#131206932
#131206802
#131191022
#131189672
#131188882
#131187742
#131187292
#131187232
#131186582
#131185922
#131185672
#131184972
#131183782
#131183682
#131183022
#131182112
#131181462
#131175372
#131174912
#131174642
#120×Dic132
C2×#117188812
C13×#24102
#3499013