Finite Group Databasebeta

← #16030686

Subgroups — #16030686

Order 3328.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D13C211yesmaximal, characteristic, complemented
2#13119093C211yesmaximal, characteristic, complemented
3#13119078C211yesmaximal, characteristic, complemented
4#13118973C211yesmaximal, characteristic, complemented
5#13118958C211yesmaximal, characteristic, complemented
6#13118883C211yesmaximal, characteristic, complemented
7#13118868C211yesmaximal, characteristic, complemented
8#13118784C211yesmaximal, characteristic, complemented
9#13118769C211yesmaximal, characteristic, complemented
10#13118656C211yesmaximal, characteristic, complemented
11#13118582C211yesmaximal, characteristic, complemented
12#13118499C211yesmaximal, characteristic, complemented
13#13118383C211yesmaximal, characteristic, complemented
14#13118309C211yesmaximal, characteristic, complemented
15#13118228C211yesmaximal, characteristic, complemented
16#13118207C211yesmaximal, characteristic
17#13118160C211yesmaximal, characteristic, complemented
18#13118119C211yesmaximal, characteristic, complemented
19#13118093C211yesmaximal, characteristic, complemented
20#13118078C211yesmaximal, characteristic, complemented
21#13118072C211yesmaximal, characteristic, complemented
22C4×#88200C211yesmaximal, characteristic, complemented
23C4×#88183C211yesmaximal, characteristic, complemented
24C4×#88193C211yesmaximal, characteristic, complemented
25C4×#88191C211yesmaximal, characteristic, complemented
26C4×#88191C211yesmaximal, characteristic, complemented
27#13117281C211yesmaximal, characteristic, complemented
28#13117273C211yesmaximal, characteristic, complemented
29#13117215C211yesmaximal, characteristic, complemented
30C2×C4×#6103C211yesmaximal, characteristic, complemented
31C2×C13×#529C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C13×#529—28no—
36C2×C13×#126C2211yescharacteristic, complemented
37C2×C13×#126C2211yescharacteristic, complemented
38C2×C13×#125C2211yescharacteristic, complemented
39C2×C13×#124C2211yescharacteristic, complemented
40C2×C13×#123C2211yescharacteristic
41C2×C13×#123C2211yescharacteristic, complemented
42C2×C13×C22⋊Q8C2211yescharacteristic, complemented
43C2×C13×#121C2211yescharacteristic
44C2×C4×Q8×C13C2211yescharacteristic, complemented
45C2×C4×D4×C13C2211yescharacteristic
46C2×C4×D4×C13C2211yescharacteristic, complemented
47C2×C4×D4×C13C2211yescharacteristic, complemented
48C2×C13×#117C2211yescharacteristic, complemented
49C2×C13×#117C2211yescharacteristic, complemented
50C22×C42×C13C2211yescharacteristic, complemented
51C2×#88200C2211yescharacteristic
52C2×#88193C2211yescharacteristic
53C2×#88191C2211yescharacteristic
54C2×#88191C2211yescharacteristic
55C2×D4×Dic13C2211yescharacteristic
56C2×#88183C2211yescharacteristic
57C2×C4×C22⋊D13C2211yescharacteristic
58C2×C4×C22⋊D13C2211yescharacteristic
59C2×C4×C22⋊D13C2211yescharacteristic
60C2×C4×C22⋊D13C2211yescharacteristic, complemented
61C2×C4×C22⋊D13C2211yescharacteristic, complemented
62C22×#6103C2211yescharacteristic
63C22×#6103C2211yescharacteristic
64C2×#88180C2211yescharacteristic, complemented
65C22×C4×Dic13C2211yescharacteristic, complemented
66C4×D4×D13—28no—
67C2×#88147C2211yescharacteristic
68C2×C4⋊C4×D13C2211yescharacteristic
69C2×#88135C2211yescharacteristic
70C2×#88135C2211yescharacteristic
71C2×C22⋊C4×D13C2211yescharacteristic
72C2×C22⋊C4×D13C2211yescharacteristic
73C2×C4×D52C2211yescharacteristic
74C2×C42×D13C2211yescharacteristic
75#11718892C2211yescharacteristic, complemented
76#11718892C2211yescharacteristic, complemented
77#11718891C2211yescharacteristic, complemented
78#11718884C2211yescharacteristic
79#11718883C2211yescharacteristic, complemented
80#11718881C2211yescharacteristic
81#11718881C2211yescharacteristic
82#11718881C2211yescharacteristic, complemented
83#11718881C2211yescharacteristic, complemented
84#11718881C2211yescharacteristic, complemented
85#11718874C2211yescharacteristic
86#11718872C2211yescharacteristic, complemented
87#11718871C2211yescharacteristic, complemented
88C4×C22⋊Dic13C2211yescharacteristic, complemented
89C4×C22⋊Dic13C2211yescharacteristic, complemented
90C4×C22⋊Dic13C2211yescharacteristic, complemented
91C2×#88071C2211yescharacteristic, complemented
92C2×#88071C2211yescharacteristic, complemented
93#11718655C2211yescharacteristic, complemented
94#11718655C2211yescharacteristic, complemented
95#11718655C2211yescharacteristic, complemented
96#11718654C2211yescharacteristic, complemented
97#11718654C2211yescharacteristic, complemented
98#11718654C2211yescharacteristic, complemented
99#11718653C2211yescharacteristic, complemented
100#11718652C2211yescharacteristic
101#11718652C2211yescharacteristic
102#11718652C2211yescharacteristic
103#11718651C2211yescharacteristic, complemented
104#11718650C2211yescharacteristic
105#11718650C2211yescharacteristic
106#11718650C2211yescharacteristic
107#11718650C2211yescharacteristic
108#11718650C2211yescharacteristic
109#11718650C2211yescharacteristic
110#11718650C2211yescharacteristic, complemented
111#11718650C2211yescharacteristic, complemented
112#11718648C2211yescharacteristic
113#11718648C2211yescharacteristic
114#11718648C2211yescharacteristic
115#11718648C2211yescharacteristic, complemented
116#11718648C2211yescharacteristic, complemented
117#11718647C2211yescharacteristic, complemented
118#11718647C2211yescharacteristic, complemented
119#11718645C2211yescharacteristic, complemented
120#11718644C2211yescharacteristic, complemented
121#11718643C2211yescharacteristic, complemented
122#11718642C2211yescharacteristic, complemented
123#11718642C2211yescharacteristic, complemented
124#11718641C2211yescharacteristic, complemented
125#11718639C2211yescharacteristic, complemented
126#11718639C2211yescharacteristic, complemented
127#11718639C2211yescharacteristic, complemented
128#11718639C2211yescharacteristic, complemented
129#11718634C2211yescharacteristic, complemented
130#11718633C2211yescharacteristic, complemented
131#11718622C2211yescharacteristic, complemented
132#11718622C2211yescharacteristic, complemented
133#11718622C2211yescharacteristic, complemented
134#11718621C2211yescharacteristic
135#11718620C2211yescharacteristic
136#11718620C2211yescharacteristic
137#11718620C2211yescharacteristic
138#11718619C2211yescharacteristic
139#11718618C2211yescharacteristic, complemented
140#11718617C2211yescharacteristic
141#11718617C2211yescharacteristic
142#11718617C2211yescharacteristic
143#11718617C2211yescharacteristic
144#11718617C2211yescharacteristic, complemented
145#11718617C2211yescharacteristic, complemented
146#11718616C2211yescharacteristic
147#11718616C2211yescharacteristic
148#11718616C2211yescharacteristic
149#11718616C2211yescharacteristic
150#11718614C2211yescharacteristic, complemented
151#11718613C2211yescharacteristic, complemented
152#11718613C2211yescharacteristic, complemented
153#11718613C2211yescharacteristic, complemented
154#11718612C2211yescharacteristic, complemented
155#11718612C2211yescharacteristic, complemented
156#11718611C2211yescharacteristic, complemented
157#11718611C2211yescharacteristic, complemented
158#11718609C2211yescharacteristic, complemented
159#11718607C2211yescharacteristic, complemented
160#11718607C2211yescharacteristic, complemented
161#11718606C2211yescharacteristic, complemented
162#11718605C2211yescharacteristic, complemented
163#11718605C2211yescharacteristic, complemented
164#11718604C2211yescharacteristic, complemented
165#11718604C2211yescharacteristic, complemented
166#11718603C2211yescharacteristic, complemented
167#11718601C2211yescharacteristic, complemented
168#11718601C2211yescharacteristic, complemented
169C4×#6103C2211yescharacteristic
170C4×#6103C2211yescharacteristic
171C4×#6103C2211yescharacteristic
172C4×#6103C2211yescharacteristic
173C4×#6103C2211yescharacteristic
174C4×#6103C2211yescharacteristic, complemented
175C4×#6103C2211yescharacteristic, complemented
176C4×#6103C2211yescharacteristic, complemented
177C4×#6103C2211yescharacteristic, complemented
178C4×#6103C2211yescharacteristic, complemented
179C4×#6103C2211yescharacteristic, complemented
180C4×#6103C2211yescharacteristic, complemented
181C4×#6103C2211yescharacteristic, complemented
182C4×C4⋊Dic13C2211yescharacteristic, complemented
183#11718594C2211yescharacteristic, complemented
184#11718594C2211yescharacteristic, complemented
185#11718593C2211yescharacteristic, complemented
186C4×#6101C2211yescharacteristic, complemented
187C4×#6101C2211yescharacteristic, complemented
188C4×#6101C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C22×Q8×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C23×Dic13C2311yescharacteristic
206C23×Dic13C2311yescharacteristic
207C23×Dic13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C2×D4×D13—24no—
210C2×D4×D13—24no—
211C2×D4×D13—24no—
212C22×D52C2311yescharacteristic
213C22×C4×D13—24no—
214C22×C4×D13—24no—
215C22×C4×D13—24no—
216C22×C4×D13—24no—
217C22×C4×D13—42no—
218C22×C4×D13—42no—
219C22×C4×D13C2311yescharacteristic
220C22×C4×D13C2311yescharacteristic
221C22×C4×D13C2311yescharacteristic
222C22×C4×D13C2311yescharacteristic
223C22×C4×D13C2311yescharacteristic
224C22×C4×D13C2311yescharacteristic
225C22×C4×D13C2311yescharacteristic
226C22×C4×D13C2311yescharacteristic
227C22×C4×D13C2311yescharacteristic
228C13×#126—24no—
229C13×#126—24no—
230C13×#125—24no—
231C13×#124—24no—
232C13×#123—24no—
233C13×#123—24no—
234C13×C22⋊Q8—24no—
235C13×#121—24no—
236C4×Q8×C13—24no—
237C4×D4×C13—24no—
238C4×D4×C13—24no—
239C4×D4×C13D418yescomplemented
240C13×#117—24no—
241C13×#117—24no—
242C2×C13×C4⋊C4C2311yescharacteristic
243C2×C13×C4⋊C4C2311yescharacteristic
244C2×C13×C4⋊C4C2311yescharacteristic
245C2×C13×C4⋊C4C2311yescharacteristic
246C2×C13×C4⋊C4C2311yescharacteristic
247C2×C13×C4⋊C4C2311yescharacteristic
248C2×C13×C4⋊C4C2311yescharacteristic
249C2×C13×C4⋊C4C2311yescharacteristic
250C2×C13×C4⋊C4C2311yescharacteristic
251C2×C13×C4⋊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×C42×C13—24no—
263C2×C42×C13C2311yescharacteristic
264C2×C42×C13C2311yescharacteristic
265C2×C42×C13C2311yescharacteristic
266C2×C42×C13C2311yescharacteristic
267C2×C42×C13C2311yescharacteristic
268C2×C42×C13C2311yescharacteristic
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
282#88200—24no—
283#88193—24no—
284#88191—24no—
285#88191—24no—
286D4×Dic13—24no—
287#88183—24no—
288C4×C22⋊D13—24no—
289C4×C22⋊D13—24no—
290C4×C22⋊D13—24no—
291C4×C22⋊D13—42no—
292C4×C22⋊D13—42no—
293C2×#6103—24no—
294C2×#6103—24no—
295C2×#6103C2311yescharacteristic
296C2×#6103C2311yescharacteristic
297C2×#6103C2311yescharacteristic
298C2×#6103C2311yescharacteristic
299C2×#6103C2311yescharacteristic
300C2×#6103C2311yescharacteristic
301C2×#6103C2311yescharacteristic
302C2×#6103C2311yescharacteristic
303C2×#6103C2311yescharacteristic
304C2×#6103C2311yescharacteristic
305C2×#6103C2311yescharacteristic
306C2×#6103C2311yescharacteristic
307C2×#6103C2311yescharacteristic
308C2×#6103C2311yescharacteristic
309C2×#6103C2311yescharacteristic
310C2×#6103C2311yescharacteristic
311C2×#6103C2311yescharacteristic
312C2×#6103C2311yescharacteristic
313C2×#6103C2311yescharacteristic
314C2×#6103C2311yescharacteristic
315C2×#6103C2311yescharacteristic
316C2×#6103C2311yescharacteristic
317C2×#6103C2311yescharacteristic
318C2×#6103C2311yescharacteristic
319C2×#6103C2311yescharacteristic
320#88180—42no—
321C2×C4⋊Dic13C2311yescharacteristic
322C2×C4⋊Dic13C2311yescharacteristic
323C2×C4⋊Dic13C2311yescharacteristic
324C2×C4⋊Dic13C2311yescharacteristic
325C2×C4⋊Dic13C2311yescharacteristic
326C2×#6101C2311yescharacteristic
327C2×#6101C2311yescharacteristic
328C2×#6101C2311yescharacteristic
329C2×#6101C2311yescharacteristic
330C2×#6101C2311yescharacteristic
331C2×#6101C2311yescharacteristic
332C2×#6101C2311yescharacteristic
333C2×#6101C2311yescharacteristic
334C2×#6101C2311yescharacteristic
335C2×#6101C2311yescharacteristic
336C2×#6101C2311yescharacteristic
337C2×C4×Dic13—42no—
338C2×C4×Dic13C2311yescharacteristic
339C2×C4×Dic13C2311yescharacteristic
340C2×C4×Dic13C2311yescharacteristic
341C2×C4×Dic13C2311yescharacteristic
342C2×C4×Dic13C2311yescharacteristic
343C2×C4×Dic13C2311yescharacteristic
344C2×C4×Dic13C2311yescharacteristic
345C2×C4×Dic13C2311yescharacteristic
346C2×C4×Dic13C2311yescharacteristic
347#88147—24no—
348C4⋊C4×D13—24no—
349#88135—24no—
350#88135—24no—
351C22⋊C4×D13—24no—
352C22⋊C4×D13—24no—
353C4×D52—24no—
354C42×D13—24no—
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
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#34670—131nomaximal, Sylow
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C24×C13C2411yescharacteristic
395C23×D13—22no—
396C23×D13—22no—
397C23×D13—22no—
398C23×D13—22no—
399C23×D13—22no—
400C23×D13—22no—
401C23×D13—22no—
402C23×D13—22no—
403C23×D13—22no—
404C23×D13—41no—
405C23×D13—41no—
406C23×D13—41no—
407C23×D13—41no—
408C23×D13#4114yes—
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C23×D13C2411yescharacteristic
412C2×Q8×C13—22no—
413C2×Q8×C13—22no—
414C2×Q8×C13—41no—
415C2×D4×C13—22no—
416C2×D4×C13—22no—
417C2×D4×C13—22no—
418C2×D4×C13—22no—
419C2×D4×C13—22no—
420C2×D4×C13—22no—
421C2×D4×C13—22no—
422C2×D4×C13—41no—
423C2×D4×C13C2×D414yes—
424C22×C4×C13—22no—
425C22×C4×C13—22no—
426C22×C4×C13—22no—
427C22×C4×C13—22no—
428C22×C4×C13—22no—
429C22×C4×C13—22no—
430C22×C4×C13—22no—
431C22×C4×C13—22no—
432C22×C4×C13—22no—
433C22×C4×C13—22no—
434C22×C4×C13—22no—
435C22×C4×C13—22no—
436C22×C4×C13—41no—
437C22×C4×C13C2×D414yes—
438C22×C4×C13C2×D414yes—
439C22×C4×C13C2411yescharacteristic
440C22×C4×C13C2411yescharacteristic
441C22×C4×C13C2411yescharacteristic
442C22×C4×C13C2411yescharacteristic
443C22×C4×C13C2411yescharacteristic
444C22×C4×C13C2411yescharacteristic
445C22×C4×C13C2411yescharacteristic
446C22×C4×C13C2411yescharacteristic
447C22×C4×C13C2411yescharacteristic
448C22×C4×C13C2411yescharacteristic
449C22×C4×C13C2411yescharacteristic
450C22×C4×C13C2411yescharacteristic
451C2×C22⋊D13—22no—
452C2×C22⋊D13—22no—
453C2×C22⋊D13—22no—
454C2×C22⋊D13—22no—
455C2×C22⋊D13—22no—
456C2×C22⋊D13—22no—
457C2×C22⋊D13—22no—
458C2×C22⋊D13—22no—
459C2×C22⋊D13—22no—
460C2×C22⋊D13—22no—
461C2×C22⋊D13—22no—
462C2×C22⋊D13—41no—
463C2×C22⋊D13—41no—
464C2×C22⋊D13—41no—
465C2×C22⋊D13#4114yes—
466C22×Dic13—22no—
467C22×Dic13—22no—
468C22×Dic13—22no—
469C22×Dic13—22no—
470C22×Dic13—22no—
471C22×Dic13—22no—
472C22×Dic13—22no—
473C22×Dic13—41no—
474C22×Dic13—41no—
475C22×Dic13—41no—
476C22×Dic13—41no—
477C22×Dic13—41no—
478C22×Dic13C2411yescharacteristic
479C22×Dic13C2411yescharacteristic
480C22×Dic13C2411yescharacteristic
481C22×Dic13C2411yescharacteristic
482C22×Dic13C2411yescharacteristic
483C22×Dic13C2411yescharacteristic
484C22×Dic13C2411yescharacteristic
485C22×Dic13C2411yescharacteristic
486C22×Dic13C2411yescharacteristic
487C22×Dic13C2411yescharacteristic
488C22×Dic13C2411yescharacteristic
489C22×Dic13C2411yescharacteristic
490C22×Dic13C2411yescharacteristic
491D4×D13—232no—
492C2×D52—22no—
493C2×D52—22no—
494C2×D52—22no—
495C2×C4×D13—22no—
496C2×C4×D13—22no—
497C2×C4×D13—22no—
498C2×C4×D13—22no—
499C2×C4×D13—22no—
500C2×C4×D13—22no—
501C2×C4×D13—22no—
502C2×C4×D13—22no—
503C2×C4×D13—22no—
504C2×C4×D13—22no—
505C2×C4×D13—22no—
506C2×C4×D13—22no—
507C2×C4×D13—22no—
508C2×C4×D13—22no—
509C2×C4×D13—22no—
510C2×C4×D13—22no—
511C2×C4×D13—22no—
512C2×C4×D13—22no—
513C2×C4×D13—22no—
514C2×C4×D13—22no—
515C2×C4×D13—22no—
516C2×C4×D13—416no—
517C2×C4×D13—416no—
518C2×C4×D13—41no—
519C2×C4×D13—41no—
520C2×C4×D13—41no—
521C2×C4×D13—41no—
522C2×C4×D13—41no—
523C2×C4×D13#4114yes—
524C13×C4⋊C4—22no—
525C13×C4⋊C4—22no—
526C13×C4⋊C4—22no—
527C13×C4⋊C4—22no—
528C13×C4⋊C4—22no—
529C13×C4⋊C4—22no—
530C13×C4⋊C4—22no—
531C13×C4⋊C4—22no—
532C13×C4⋊C4—22no—
533C13×C4⋊C4C2×D414yes—
534C13×C22⋊C4—22no—
535C13×C22⋊C4—22no—
536C13×C22⋊C4—22no—
537C13×C22⋊C4—22no—
538C13×C22⋊C4—22no—
539C13×C22⋊C4—22no—
540C13×C22⋊C4—22no—
541C13×C22⋊C4—22no—
542C13×C22⋊C4C2×D414yes—
543C13×C22⋊C4C2×D414yes—
544C42×C13—22no—
545C42×C13—22no—
546C42×C13—22no—
547C42×C13—22no—
548C42×C13—22no—
549C42×C13C2×D414yes—
550C22⋊Dic13—22no—
551C22⋊Dic13—22no—
552C22⋊Dic13—22no—
553C22⋊Dic13—22no—
554C22⋊Dic13—22no—
555C22⋊Dic13—22no—
556C22⋊Dic13—22no—
557C22⋊Dic13—41no—
558C22⋊Dic13—41no—
559C22⋊Dic13—41no—
560C22⋊Dic13—41no—
561C22⋊Dic13—41no—
562C22⋊Dic13—41no—
563#6103—22no—
564#6103—22no—
565#6103—22no—
566#6103—22no—
567#6103—22no—
568#6103—22no—
569#6103—22no—
570#6103—22no—
571#6103—22no—
572#6103—22no—
573#6103—22no—
574#6103—22no—
575#6103—22no—
576#6103—22no—
577#6103—22no—
578#6103—22no—
579#6103—22no—
580#6103—22no—
581#6103—22no—
582#6103—41no—
583#6103—41no—
584#6103—41no—
585#6103—41no—
586#6103—41no—
587#6103#4114yes—
588C4⋊Dic13—22no—
589C4⋊Dic13—22no—
590C4⋊Dic13—41no—
591C4⋊Dic13—41no—
592C4⋊Dic13—41no—
593#6101—22no—
594#6101—22no—
595#6101—22no—
596#6101—22no—
597#6101—22no—
598#6101—22no—
599#6101—22no—
600#6101—22no—
601#6101—41no—
602#6101—41no—
603#6101—41no—
604C4×Dic13—22no—
605C4×Dic13—22no—
606C4×Dic13—22no—
607C4×Dic13—22no—
608C4×Dic13—22no—
609C4×Dic13—22no—
610C4×Dic13—22no—
611C4×Dic13—41no—
612C4×Dic13—41no—
613C2×#529D1311yescharacteristic, complemented
614C22×C4×D4—131no—
615#2481—131no—
616#2480—131no—
617#2473—131no—
618#2472—131no—
619#2467—131no—
620#2466—131no—
621#2460—131no—
622#2459—131no—
623#2450—131no—
624#2444—131no—
625#2437—131no—
626#2425—131no—
627#2419—131no—
628#2412—131no—
629#2410—131no—
630#2405—131no—
631#2398—131no—
632#2395—131no—
633#2392—131no—
634#2392—131no—
635C4×C22⋊Q8—131no—
636C4×#123—131no—
637C4×#121—131no—
638C4×#120—131no—
639C4×#120—131no—
640#2290—131no—
641#2290—131no—
642#2280—131no—
643C2×C4×C22⋊C4—131no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13—21no—
647C23×C13—21no—
648C23×C13—21no—
649C23×C13—21no—
650C23×C13—21no—
651C23×C13—21no—
652C23×C13—21no—
653C23×C13—21no—
654C23×C13—21no—
655C23×C13—21no—
656C23×C13—21no—
657C23×C13—21no—
658C23×C13—21no—
659C23×C13—21no—
660C23×C13—21no—
661C23×C13C22×D412yes—
662C23×C13C22×D412yes—
663C23×C13C2×#4112yes—
664C23×C13C2×#4112yes—
665C23×C13C2511yescharacteristic
666C22×D13—21no—
667C22×D13—21no—
668C22×D13—21no—
669C22×D13—21no—
670C22×D13—28no—
671C22×D13—28no—
672C22×D13—21no—
673C22×D13—21no—
674C22×D13—21no—
675C22×D13—21no—
676C22×D13—21no—
677C22×D13—21no—
678C22×D13—21no—
679C22×D13—21no—
680C22×D13—21no—
681C22×D13—21no—
682C22×D13—21no—
683C22×D13—21no—
684C22×D13—28no—
685C22×D13—44no—
686C22×D13—44no—
687C22×D13—44no—
688C22×D13—44no—
689C22×D13—44no—
690C22×D13—44no—
691C22×D13—44no—
692C22×D13—44no—
693C22×D13—44no—
694C22×D13—44no—
695C22×D13—44no—
696C22×D13C2×#4112yes—
697C22×D13C2×#4112yes—
698C22×D13C2×#4112yes—
699C22×D13C2×#4112yes—
700C22×D13C2×#4112yes—
701Q8×C13—44no—
702D4×C13—28no—
703D4×C13—44no—
704D4×C13—44no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—28no—
716C2×C4×C13—28no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—21no—
720C2×C4×C13—21no—
721C2×C4×C13—21no—
722C2×C4×C13—21no—
723C2×C4×C13—21no—
724C2×C4×C13—21no—
725C2×C4×C13—21no—
726C2×C4×C13—21no—
727C2×C4×C13—21no—
728C2×C4×C13—21no—
729C2×C4×C13—21no—
730C2×C4×C13—21no—
731C2×C4×C13—21no—
732C2×C4×C13—21no—
733C2×C4×C13—21no—
734C2×C4×C13—21no—
735C2×C4×C13—44no—
736C2×C4×C13—44no—
737C2×C4×C13—44no—
738C2×C4×C13C22×D412yes—
739C2×C4×C13C22×D412yes—
740C2×C4×C13C22×D412yes—
741C2×C4×C13C22×D412yes—
742C2×C4×C13C22×D412yes—
743C2×C4×C13C2×#4112yes—
744C2×C4×C13C2×#4112yes—
745C2×C4×C13H(5,𝔽2)12yes—
746C22⋊D13—28no—
747C22⋊D13—28no—
748C22⋊D13—44no—
749C22⋊D13—44no—
750C22⋊D13—44no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—21no—
754C2×Dic13—21no—
755C2×Dic13—21no—
756C2×Dic13—21no—
757C2×Dic13—21no—
758C2×Dic13—21no—
759C2×Dic13—21no—
760C2×Dic13—21no—
761C2×Dic13—21no—
762C2×Dic13—21no—
763C2×Dic13—21no—
764C2×Dic13—21no—
765C2×Dic13—21no—
766C2×Dic13—21no—
767C2×Dic13—21no—
768C2×Dic13—21no—
769C2×Dic13—21no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—21no—
777C2×Dic13—21no—
778C2×Dic13—21no—
779C2×Dic13—21no—
780C2×Dic13—21no—
781C2×Dic13—21no—
782C2×Dic13—21no—
783C2×Dic13—21no—
784C2×Dic13—21no—
785C2×Dic13—21no—
786C2×Dic13—21no—
787C2×Dic13—44no—
788C2×Dic13—44no—
789C2×Dic13—44no—
790C2×Dic13—44no—
791C2×Dic13C2×#4112yes—
792C2×Dic13C2×#4112yes—
793C2×Dic13C2×#4112yes—
794D52—28no—
795C4×D13—28no—
796C4×D13—28no—
797C4×D13—44no—
798C4×D13—44no—
799C4×D13—44no—
800C4×D13—44no—
801C4×D13—44no—
802C4×D13—44no—
803C4×D13—44no—
804C23×D4—131no—
805C24×C4—131no—
806C24×C4—131no—
807#529—28no—
808C2×#126C2×D1311yescharacteristic, complemented
809C2×#126C2×D1311yescharacteristic, complemented
810C2×#125C2×D1311yescharacteristic, complemented
811C2×#124C2×D1311yescharacteristic, complemented
812C2×#123—131no—
813C2×#123C2×D1311yescharacteristic
814C2×#123C2×D1311yescharacteristic, complemented
815C2×C22⋊Q8—131no—
816C2×C22⋊Q8C2×D1311yescharacteristic, complemented
817C2×#121—131no—
818C2×#121C2×D1311yescharacteristic
819C2×#120—131no—
820C2×#120—131no—
821C2×C4×Q8C2×D1311yescharacteristic, complemented
822C2×C4×D4—131no—
823C2×C4×D4—131no—
824C2×C4×D4—131no—
825C2×C4×D4—131no—
826C2×C4×D4—131no—
827C2×C4×D4—131no—
828C2×C4×D4—131no—
829C2×C4×D4—131no—
830C2×C4×D4—131no—
831C2×C4×D4—131no—
832C2×C4×D4—268no—
833C2×C4×D4C2×D1311yescharacteristic
834C2×C4×D4C2×D1311yescharacteristic, complemented
835C2×C4×D4C2×D1311yescharacteristic, complemented
836C2×#117—131no—
837C2×#117C2×D1311yescharacteristic, complemented
838C2×#117C2×D1311yescharacteristic, complemented
839C22×C4⋊C4—131no—
840C22×C22⋊C4—131no—
841C22×C22⋊C4—131no—
842C22×C22⋊C4—131no—
843C22×C22⋊C4—131no—
844C22×C42—131no—
845C22×C42—131no—
846C22×C42C2×D1311yescharacteristic, complemented
847#400—131no—
848#400—131no—
849#400—131no—
850#399—131no—
851#398—131no—
852#398—131no—
853#398—131no—
854#397—131no—
855#397—131no—
856#397—131no—
857#397—131no—
858#397—131no—
859#397—131no—
860#397—131no—
861#396—131no—
862#396—131no—
863#396—131no—
864#396—131no—
865#394—131no—
866#394—131no—
867#394—131no—
868#394—131no—
869#394—131no—
870#394—131no—
871#394—131no—
872#394—131no—
873#394—131no—
874#394—131no—
875#393—131no—
876#393—131no—
877#392—131no—
878#392—131no—
879#391—131no—
880#390—131no—
881#389—131no—
882#389—131no—
883#388—131no—
884#388—131no—
885#388—131no—
886#388—131no—
887#388—131no—
888#388—131no—
889#388—131no—
890#388—131no—
891#387—131no—
892#387—131no—
893#387—131no—
894#387—131no—
895#387—131no—
896#387—131no—
897#387—131no—
898#387—131no—
899#386—131no—
900#386—131no—
901#386—131no—
902#386—131no—
903#386—131no—
904#386—131no—
905#386—131no—
906#386—131no—
907#386—131no—
908#386—131no—
909#386—131no—
910#386—131no—
911#386—131no—
912#385—131no—
913#385—131no—
914#385—131no—
915#385—131no—
916#385—131no—
917#385—131no—
918#385—131no—
919#385—131no—
920#385—131no—
921#385—131no—
922#385—131no—
923#385—131no—
924#385—131no—
925#381—131no—
926#381—131no—
927#381—131no—
928#380—131no—
929#380—131no—
930#380—131no—
931#380—131no—
932#380—131no—
933#380—131no—
934#379—131no—
935#379—131no—
936#379—131no—
937#379—131no—
938C4×C4⋊C4—131no—
939C4×C4⋊C4—131no—
940C4×C4⋊C4—131no—
941C4×C4⋊C4—131no—
942C4×C22⋊C4—131no—
943C4×C22⋊C4—131no—
944C4×C22⋊C4—131no—
945C4×C22⋊C4—131no—
946C4×C22⋊C4—131no—
947C4×C22⋊C4—131no—
948C4×C22⋊C4—131no—
949C4×C22⋊C4—131no—
950C4×C22⋊C4—131no—
951C4×C22⋊C4—131no—
952C4×C22⋊C4—131no—
953C4×C22⋊C4—131no—
954C4×C22⋊C4—131no—
955C4×C22⋊C4—131no—
956C4×C22⋊C4—131no—
957C4×C22⋊C4—131no—
958#376—131no—
959C2×#95—131no—
960C2×#95—131no—
961C22×C13—22no—
962C22×C13—22no—
963C22×C13—22no—
964C22×C13—22no—
965C22×C13—22no—
966C22×C13—22no—
967C22×C13—22no—
968C22×C13—22no—
969C22×C13—22no—
970C22×C13—41no—
971C22×C13—41no—
972C22×C13—41no—
973C22×C13—41no—
974C22×C13—41no—
975C22×C13—41no—
976C22×C13—41no—
977C22×C13—41no—
978C22×C13—41no—
979C22×C13—41no—
980C22×C13—41no—
981C22×C13#52514yes—
982C22×C13C23×D411yescharacteristic
983C22×C13C22×#4111yescharacteristic
984C22×C13C22×#4111yescharacteristic
985C22×C13C22×#4111yescharacteristic
986C22×C13C22×#4111yescharacteristic
987C22×C13C2×H(5,𝔽2)11yescharacteristic
988C22×C13#58511yescharacteristic
989C2×D13—22no—
990C2×D13—22no—
991C2×D13—22no—
992C2×D13—22no—
993C2×D13—22no—
994C2×D13—22no—
995C2×D13—22no—
996C2×D13—22no—
997C2×D13—22no—
998C2×D13—22no—
999C2×D13—22no—
1000C2×D13—22no—
1001C2×D13—416no—
1002C2×D13—416no—
1003C2×D13—41no—
1004C2×D13—41no—
1005C2×D13—41no—
1006C2×D13—41no—
1007C2×D13—41no—
1008C2×D13—41no—
1009C2×D13—41no—
1010C2×D13—41no—
1011C2×D13#52914yescomplemented
1012C4×C13—22no—
1013C4×C13—22no—
1014C4×C13—22no—
1015C4×C13—22no—
1016C4×C13—22no—
1017C4×C13—41no—
1018C4×C13—41no—
1019C4×C13—41no—
1020C4×C13—41no—
1021C4×C13—41no—
1022C4×C13—41no—
1023C4×C13#54614yes—
1024Dic13—22no—
1025Dic13—22no—
1026Dic13—22no—
1027Dic13—41no—
1028Dic13—41no—
1029Dic13—41no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13—41no—
1034Dic13—41no—
1035Dic13—41no—
1036Dic13—41no—
1037C25—131no—
1038C25—131no—
1039C22×Q8C22×D1311yescharacteristic
1040C22×D4—131no—
1041C22×D4—131no—
1042C22×D4—131no—
1043C22×D4—131no—
1044C22×D4—131no—
1045C22×D4—131no—
1046C22×D4—264no—
1047C22×D4—264no—
1048C22×D4—264no—
1049C22×D4C22×D1311yescharacteristic
1050C22×D4C22×D1311yescharacteristic
1051C22×D4C22×D1311yescharacteristic
1052C23×C4—131no—
1053C23×C4—131no—
1054C23×C4—131no—
1055C23×C4—131no—
1056C23×C4—131no—
1057C23×C4—131no—
1058C23×C4—131no—
1059C23×C4—131no—
1060C23×C4—131no—
1061C23×C4—131no—
1062C23×C4—131no—
1063C23×C4—131no—
1064C23×C4—131no—
1065C23×C4—264no—
1066C23×C4—264no—
1067C23×C4—264no—
1068C23×C4—264no—
1069C23×C4—522no—
1070C23×C4—522no—
1071C23×C4C22×D1311yescharacteristic
1072C23×C4C22×D1311yescharacteristic
1073C23×C4C22×D1311yescharacteristic
1074C23×C4C22×D1311yescharacteristic
1075C23×C4C22×D1311yescharacteristic
1076#126—24no—
1077#126—24no—
1078#125—24no—
1079#124—24no—
1080#123—24no—
1081#123—24no—
1082#123—264no—
1083C22⋊Q8—24no—
1084C22⋊Q8—264no—
1085#121—24no—
1086#121—264no—
1087#120—264no—
1088#120—264no—
1089C4×Q8—24no—
1090C4×D4—24no—
1091C4×D4—24no—
1092C4×D4—264no—
1093C4×D4—264no—
1094C4×D4—264no—
1095C4×D4—264no—
1096C4×D4—264no—
1097C4×D4—264no—
1098C4×D4—264no—
1099C4×D4—264no—
1100C4×D4—522no—
1101C4×D4—522no—
1102C4×D4C22⋊D1318yescomplemented
1103#117—24no—
1104#117—24no—
1105#117—522no—
1106C2×C4⋊C4—131no—
1107C2×C4⋊C4—131no—
1108C2×C4⋊C4—131no—
1109C2×C4⋊C4—131no—
1110C2×C4⋊C4—131no—
1111C2×C4⋊C4—131no—
1112C2×C4⋊C4—131no—
1113C2×C4⋊C4—131no—
1114C2×C4⋊C4—131no—
1115C2×C4⋊C4—131no—
1116C2×C4⋊C4—131no—
1117C2×C4⋊C4—131no—
1118C2×C4⋊C4—131no—
1119C2×C4⋊C4—131no—
1120C2×C4⋊C4—131no—
1121C2×C4⋊C4—131no—
1122C2×C4⋊C4—264no—
1123C2×C4⋊C4C22×D1311yescharacteristic
1124C2×C4⋊C4C22×D1311yescharacteristic
1125C2×C4⋊C4C22×D1311yescharacteristic
1126C2×C4⋊C4C22×D1311yescharacteristic
1127C2×C4⋊C4C22×D1311yescharacteristic
1128C2×C4⋊C4C22×D1311yescharacteristic
1129C2×C4⋊C4C22×D1311yescharacteristic
1130C2×C4⋊C4C22×D1311yescharacteristic
1131C2×C4⋊C4C22×D1311yescharacteristic
1132C2×C4⋊C4C22×D1311yescharacteristic
1133C2×C22⋊C4—131no—
1134C2×C22⋊C4—131no—
1135C2×C22⋊C4—131no—
1136C2×C22⋊C4—131no—
1137C2×C22⋊C4—131no—
1138C2×C22⋊C4—131no—
1139C2×C22⋊C4—131no—
1140C2×C22⋊C4—131no—
1141C2×C22⋊C4—131no—
1142C2×C22⋊C4—131no—
1143C2×C22⋊C4—131no—
1144C2×C22⋊C4—131no—
1145C2×C22⋊C4—131no—
1146C2×C22⋊C4—131no—
1147C2×C22⋊C4—131no—
1148C2×C22⋊C4—131no—
1149C2×C22⋊C4—131no—
1150C2×C22⋊C4—131no—
1151C2×C22⋊C4—131no—
1152C2×C22⋊C4—131no—
1153C2×C22⋊C4—131no—
1154C2×C22⋊C4—131no—
1155C2×C22⋊C4—131no—
1156C2×C22⋊C4—131no—
1157C2×C22⋊C4—131no—
1158C2×C22⋊C4—131no—
1159C2×C22⋊C4—131no—
1160C2×C22⋊C4—131no—
1161C2×C22⋊C4—131no—
1162C2×C22⋊C4—131no—
1163C2×C22⋊C4—131no—
1164C2×C22⋊C4—131no—
1165C2×C22⋊C4—131no—
1166C2×C22⋊C4—131no—
1167C2×C22⋊C4—131no—
1168C2×C22⋊C4—131no—
1169C2×C22⋊C4—131no—
1170C2×C22⋊C4—131no—
1171C2×C22⋊C4—264no—
1172C2×C22⋊C4—264no—
1173C2×C22⋊C4—264no—
1174C2×C22⋊C4—264no—
1175C2×C22⋊C4C22×D1311yescharacteristic
1176C2×C22⋊C4C22×D1311yescharacteristic
1177C2×C22⋊C4C22×D1311yescharacteristic
1178C2×C22⋊C4C22×D1311yescharacteristic
1179C2×C22⋊C4C22×D1311yescharacteristic
1180C2×C22⋊C4C22×D1311yescharacteristic
1181C2×C22⋊C4C22×D1311yescharacteristic
1182C2×C22⋊C4C22×D1311yescharacteristic
1183C2×C22⋊C4C22×D1311yescharacteristic
1184C2×C22⋊C4C22×D1311yescharacteristic
1185C2×C42—24no—
1186C2×C42—131no—
1187C2×C42—131no—
1188C2×C42—131no—
1189C2×C42—131no—
1190C2×C42—131no—
1191C2×C42—131no—
1192C2×C42—131no—
1193C2×C42—131no—
1194C2×C42—131no—
1195C2×C42—264no—
1196C2×C42—522no—
1197C2×C42C22×D1311yescharacteristic
1198C2×C42C22×D1311yescharacteristic
1199C2×C42C22×D1311yescharacteristic
1200C2×C42C22×D1311yescharacteristic
1201C2×C42C22×D1311yescharacteristic
1202C2×C42C22×D1311yescharacteristic
1203#95—131no—
1204#95—131no—
1205#95—131no—
1206#95—131no—
1207#95—131no—
1208#95—131no—
1209#95—131no—
1210#95—131no—
1211#95—131no—
1212#95—131no—
1213#95—131no—
1214#95—131no—
1215#95—131no—
1216#95—131no—
1217#95—131no—
1218#95—131no—
1219#95—131no—
1220#95—131no—
1221#95—131no—
1222#95—131no—
1223#95—131no—
1224#95—131no—
1225#95—131no—
1226#95—131no—
1227#95—131no—
1228#95—131no—
1229#95—131no—
1230#95—131no—
1231#95—131no—
1232#95—131no—
1233#95—131no—
1234#95—131no—
1235#95—131no—
1236#95—131no—
1237#95—131no—
1238#95—131no—
1239C2×C13—24no—
1240C2×C13—42no—
1241C2×C13—81no—
1242C2×C13C2×#52511yescharacteristic
1243C2×C13C2×#52911yescharacteristic
1244C2×C13#345911yescharacteristic
1245C2×C13C2×#54611yescharacteristic
1246C2×C13D4×#4111yescharacteristic
1247C2×C13#347511yescharacteristic
1248C2×C13#348111yescharacteristic
1249D13—24no—
1250D13—42no—
1251D13—42no—
1252C24—131no—
1253C24—131no—
1254C24—131no—
1255C24—134no—
1256C24—262no—
1257C24—262no—
1258C24—262no—
1259C24—262no—
1260C24—262no—
1261C24—262no—
1262C24—262no—
1263C24—262no—
1264C24—262no—
1265C24—521no—
1266C24—521no—
1267C24—521no—
1268C24—521no—
1269C24C23×D1311yescharacteristic
1270C24C23×D1311yescharacteristic
1271C24C23×D1311yescharacteristic
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—41no—
1283C2×D4—134no—
1284C2×D4—262no—
1285C2×D4—262no—
1286C2×D4—262no—
1287C2×D4—262no—
1288C2×D4—2632no—
1289C2×D4—262no—
1290C2×D4—262no—
1291C2×D4—262no—
1292C2×D4—262no—
1293C2×D4—262no—
1294C2×D4—262no—
1295C2×D4—262no—
1296C2×D4—262no—
1297C2×D4—262no—
1298C2×D4—262no—
1299C2×D4—521no—
1300C2×D4—521no—
1301C2×D4—521no—
1302C2×D4C2×C22⋊D1314yes—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—41no—
1316C22×C4—131no—
1317C22×C4—131no—
1318C22×C4—131no—
1319C22×C4—134no—
1320C22×C4—131no—
1321C22×C4—131no—
1322C22×C4—131no—
1323C22×C4—131no—
1324C22×C4—131no—
1325C22×C4—131no—
1326C22×C4—131no—
1327C22×C4—131no—
1328C22×C4—131no—
1329C22×C4—131no—
1330C22×C4—262no—
1331C22×C4—262no—
1332C22×C4—262no—
1333C22×C4—262no—
1334C22×C4—262no—
1335C22×C4—262no—
1336C22×C4—262no—
1337C22×C4—262no—
1338C22×C4—262no—
1339C22×C4—262no—
1340C22×C4—262no—
1341C22×C4—262no—
1342C22×C4—262no—
1343C22×C4—262no—
1344C22×C4—262no—
1345C22×C4—262no—
1346C22×C4—262no—
1347C22×C4—262no—
1348C22×C4—262no—
1349C22×C4—262no—
1350C22×C4—262no—
1351C22×C4—262no—
1352C22×C4—262no—
1353C22×C4—262no—
1354C22×C4—262no—
1355C22×C4—262no—
1356C22×C4—262no—
1357C22×C4—262no—
1358C22×C4—521no—
1359C22×C4—521no—
1360C22×C4—521no—
1361C22×C4—521no—
1362C22×C4—521no—
1363C22×C4—5216no—
1364C22×C4—5216no—
1365C22×C4—521no—
1366C22×C4—521no—
1367C22×C4—521no—
1368C22×C4—521no—
1369C22×C4—521no—
1370C22×C4C2×C22⋊D1314yes—
1371C22×C4C2×C22⋊D1314yes—
1372C22×C4C23×D1311yescharacteristic
1373C22×C4C23×D1311yescharacteristic
1374C22×C4C23×D1311yescharacteristic
1375C22×C4C23×D1311yescharacteristic
1376C22×C4C23×D1311yescharacteristic
1377C22×C4C23×D1311yescharacteristic
1378C22×C4C23×D1311yescharacteristic
1379C22×C4C23×D1311yescharacteristic
1380C22×C4C23×D1311yescharacteristic
1381C22×C4C23×D1311yescharacteristic
1382C22×C4C23×D1311yescharacteristic
1383C22×C4C23×D1311yescharacteristic
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—262no—
1394C4⋊C4—262no—
1395C4⋊C4—262no—
1396C4⋊C4—262no—
1397C4⋊C4—262no—
1398C4⋊C4—262no—
1399C4⋊C4—262no—
1400C4⋊C4—262no—
1401C4⋊C4—262no—
1402C4⋊C4—262no—
1403C4⋊C4—521no—
1404C4⋊C4—521no—
1405C4⋊C4—521no—
1406C4⋊C4—521no—
1407C4⋊C4—521no—
1408C4⋊C4—521no—
1409C4⋊C4C2×C22⋊D1314yes—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—134no—
1419C22⋊C4—262no—
1420C22⋊C4—262no—
1421C22⋊C4—262no—
1422C22⋊C4—262no—
1423C22⋊C4—262no—
1424C22⋊C4—262no—
1425C22⋊C4—262no—
1426C22⋊C4—262no—
1427C22⋊C4—262no—
1428C22⋊C4—262no—
1429C22⋊C4—262no—
1430C22⋊C4—262no—
1431C22⋊C4—262no—
1432C22⋊C4—262no—
1433C22⋊C4—262no—
1434C22⋊C4—262no—
1435C22⋊C4—262no—
1436C22⋊C4—262no—
1437C22⋊C4—262no—
1438C22⋊C4—262no—
1439C22⋊C4—262no—
1440C22⋊C4—262no—
1441C22⋊C4—262no—
1442C22⋊C4—262no—
1443C22⋊C4—262no—
1444C22⋊C4—262no—
1445C22⋊C4—521no—
1446C22⋊C4—521no—
1447C22⋊C4—521no—
1448C22⋊C4—521no—
1449C22⋊C4—521no—
1450C22⋊C4—521no—
1451C22⋊C4—521no—
1452C22⋊C4—521no—
1453C22⋊C4—521no—
1454C22⋊C4—521no—
1455C22⋊C4—521no—
1456C22⋊C4C2×C22⋊D1314yes—
1457C22⋊C4C2×C22⋊D1314yes—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—262no—
1464C42—262no—
1465C42—262no—
1466C42—262no—
1467C42—262no—
1468C42—262no—
1469C42—262no—
1470C42—521no—
1471C42—521no—
1472C42C2×C22⋊D1314yes—
1473C13#3467011yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—132no—
1492C23—132no—
1493C23—132no—
1494C23—132no—
1495C23—132no—
1496C23—268no—
1497C23—268no—
1498C23—261no—
1499C23—261no—
1500C23—261no—
1501C23—261no—
1502C23—268no—
1503C23—261no—
1504C23—261no—
1505C23—261no—
1506C23—261no—
1507C23—261no—
1508C23—261no—
1509C23—261no—
1510C23—261no—
1511C23—261no—
1512C23—261no—
1513C23—261no—
1514C23—261no—
1515C23—524no—
1516C23—524no—
1517C23—524no—
1518C23—524no—
1519C23—524no—
1520C23—524no—
1521C23—524no—
1522C23—524no—
1523C23—524no—
1524C23—524no—
1525C23—524no—
1526C23#41×D1312yes—
1527C23#41×D1312yes—
1528C23C22×C22⋊D1312yes—
1529C23C22×C22⋊D1312yes—
1530C23C24×D1311yescharacteristic
1531Q8—44no—
1532D4—28no—
1533D4—44no—
1534D4—44no—
1535D4—268no—
1536D4—268no—
1537D4—268no—
1538D4—524no—
1539D4—524no—
1540D4—524no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—28no—
1552C2×C4—28no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—132no—
1575C2×C4—132no—
1576C2×C4—132no—
1577C2×C4—268no—
1578C2×C4—261no—
1579C2×C4—261no—
1580C2×C4—261no—
1581C2×C4—261no—
1582C2×C4—261no—
1583C2×C4—261no—
1584C2×C4—268no—
1585C2×C4—261no—
1586C2×C4—261no—
1587C2×C4—261no—
1588C2×C4—261no—
1589C2×C4—261no—
1590C2×C4—261no—
1591C2×C4—261no—
1592C2×C4—261no—
1593C2×C4—261no—
1594C2×C4—261no—
1595C2×C4—261no—
1596C2×C4—261no—
1597C2×C4—261no—
1598C2×C4—261no—
1599C2×C4—261no—
1600C2×C4—261no—
1601C2×C4—261no—
1602C2×C4—261no—
1603C2×C4—261no—
1604C2×C4—261no—
1605C2×C4—261no—
1606C2×C4—261no—
1607C2×C4—261no—
1608C2×C4—261no—
1609C2×C4—261no—
1610C2×C4—261no—
1611C2×C4—261no—
1612C2×C4—261no—
1613C2×C4—261no—
1614C2×C4—261no—
1615C2×C4—524no—
1616C2×C4—524no—
1617C2×C4—524no—
1618C2×C4—524no—
1619C2×C4—524no—
1620C2×C4—524no—
1621C2×C4—524no—
1622C2×C4—524no—
1623C2×C4—524no—
1624C2×C4—524no—
1625C2×C4—524no—
1626C2×C4#41×D1312yes—
1627C2×C4#41×D1312yes—
1628C2×C4#8825612yes—
1629C2×C4C22×C22⋊D1312yes—
1630C2×C4C22×C22⋊D1312yes—
1631C2×C4C22×C22⋊D1312yes—
1632C2×C4C22×C22⋊D1312yes—
1633C2×C4C22×C22⋊D1312yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—134no—
1655C22—262no—
1656C22—262no—
1657C22—262no—
1658C22—262no—
1659C22—262no—
1660C22—262no—
1661C22—262no—
1662C22—262no—
1663C22—262no—
1664C22—262no—
1665C22—262no—
1666C22—262no—
1667C22—5216no—
1668C22—5216no—
1669C22—521no—
1670C22—521no—
1671C22—521no—
1672C22—521no—
1673C22—521no—
1674C22—521no—
1675C22—521no—
1676C22—521no—
1677C22#1171953314yes—
1678C22C2×#41×D1311yescharacteristic
1679C22C2×#41×D1311yescharacteristic
1680C22C2×#41×D1311yescharacteristic
1681C22C2×#41×D1311yescharacteristic
1682C22C2×#8825611yescharacteristic
1683C22#1171964811yescharacteristic
1684C22C23×C22⋊D1311yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—262no—
1697C4—262no—
1698C4—262no—
1699C4—521no—
1700C4—521no—
1701C4—521no—
1702C4—521no—
1703C4—521no—
1704C4—521no—
1705C4—521no—
1706C4—521no—
1707C4—521no—
1708C4—521no—
1709C4#1171953414yes—
1710C2—24no—
1711C2—42no—
1712C2—81no—
1713C2—264no—
1714C2—522no—
1715C2—522no—
1716C2C2×#1171953311yescharacteristic
1717C2D13×#52911yescharacteristic
1718C2#1312824611yescharacteristic
1719C2C2×#1171953411yescharacteristic
1720C2#41×C22⋊D1311yescharacteristic
1721C2#1312838811yescharacteristic
1722C2#1312844211yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC2×C13×#529C2
prime radical#13118207C2
hypercenterC2×#529D13
hypocenterC13#34670
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. C2×C4×D4×D13C2semidirect
2. #13119093C2semidirect
3. #13119078C2semidirect
4. #13118973C2semidirect
5. #13118958C2semidirect
6. #13118883C2semidirect
7. #13118868C2semidirect
8. #13118784C2semidirect
9. #13118769C2semidirect
10. #13118656C2semidirect
11. #13118582C2semidirect
12. #13118499C2semidirect
13. #13118383C2semidirect
14. #13118309C2semidirect
15. #13118228C2semidirect
17. #13118160C2semidirect
18. #13118119C2semidirect
19. #13118093C2semidirect
20. #13118078C2semidirect
21. #13118072C2semidirect
22. C4×#88200C2semidirect
23. C4×#88183C2semidirect
24. C4×#88193C2semidirect
25. C4×#88191C2semidirect
26. C4×#88191C2semidirect
27. #13117281C2semidirect
28. #13117273C2semidirect
29. #13117215C2semidirect
30. C2×C4×#6103C2semidirect
31. C2×C13×#529C2semidirect
36. C2×C13×#126C22semidirect
37. C2×C13×#126C22semidirect
38. C2×C13×#125C22semidirect
39. C2×C13×#124C22semidirect
41. C2×C13×#123C22semidirect
42. C2×C13×C22⋊Q8C22semidirect
44. C2×C4×Q8×C13C22semidirect
46. C2×C4×D4×C13C22semidirect
47. C2×C4×D4×C13C22semidirect
48. C2×C13×#117C22semidirect
49. C2×C13×#117C22semidirect
50. C22×C42×C13C22semidirect
60. C2×C4×C22⋊D13C22semidirect
61. C2×C4×C22⋊D13C22semidirect
64. C2×#88180C22semidirect
65. C22×C4×Dic13C22semidirect
75. #11718892C22semidirect
76. #11718892C22semidirect
77. #11718891C22semidirect
79. #11718883C22semidirect
82. #11718881C22semidirect
83. #11718881C22semidirect
84. #11718881C22semidirect
86. #11718872C22semidirect
87. #11718871C22semidirect
88. C4×C22⋊Dic13C22semidirect
89. C4×C22⋊Dic13C22semidirect
90. C4×C22⋊Dic13C22semidirect
91. C2×#88071C22semidirect
92. C2×#88071C22semidirect
93. #11718655C22semidirect
94. #11718655C22semidirect
95. #11718655C22semidirect
96. #11718654C22semidirect
97. #11718654C22semidirect
98. #11718654C22semidirect
99. #11718653C22semidirect
103. #11718651C22semidirect
110. #11718650C22semidirect
111. #11718650C22semidirect
115. #11718648C22semidirect
116. #11718648C22semidirect
117. #11718647C22semidirect
118. #11718647C22semidirect
119. #11718645C22semidirect
120. #11718644C22semidirect
121. #11718643C22semidirect
122. #11718642C22semidirect
123. #11718642C22semidirect
124. #11718641C22semidirect
125. #11718639C22semidirect
126. #11718639C22semidirect
127. #11718639C22semidirect
128. #11718639C22semidirect
129. #11718634C22semidirect
130. #11718633C22semidirect
131. #11718622C22semidirect
132. #11718622C22semidirect
133. #11718622C22semidirect
139. #11718618C22semidirect
144. #11718617C22semidirect
145. #11718617C22semidirect
150. #11718614C22semidirect
151. #11718613C22semidirect
152. #11718613C22semidirect
153. #11718613C22semidirect
154. #11718612C22semidirect
155. #11718612C22semidirect
156. #11718611C22semidirect
157. #11718611C22semidirect
158. #11718609C22semidirect
159. #11718607C22semidirect
160. #11718607C22semidirect
161. #11718606C22semidirect
162. #11718605C22semidirect
163. #11718605C22semidirect
164. #11718604C22semidirect
165. #11718604C22semidirect
166. #11718603C22semidirect
167. #11718601C22semidirect
168. #11718601C22semidirect
174. C4×#6103C22semidirect
175. C4×#6103C22semidirect
176. C4×#6103C22semidirect
177. C4×#6103C22semidirect
178. C4×#6103C22semidirect
179. C4×#6103C22semidirect
180. C4×#6103C22semidirect
181. C4×#6103C22semidirect
182. C4×C4⋊Dic13C22semidirect
183. #11718594C22semidirect
184. #11718594C22semidirect
185. #11718593C22semidirect
186. C4×#6101C22semidirect
187. C4×#6101C22semidirect
188. C4×#6101C22semidirect
239. C4×D4×C13D4semidirect
613. C2×#529D13semidirect
808. C2×#126C2×D13semidirect
809. C2×#126C2×D13semidirect
810. C2×#125C2×D13semidirect
811. C2×#124C2×D13semidirect
814. C2×#123C2×D13semidirect
816. C2×C22⋊Q8C2×D13semidirect
821. C2×C4×Q8C2×D13semidirect
834. C2×C4×D4C2×D13semidirect
835. C2×C4×D4C2×D13semidirect
837. C2×#117C2×D13semidirect
838. C2×#117C2×D13semidirect
846. C22×C42C2×D13semidirect
1011. C2×D13#529semidirect
1102. C4×D4C22⋊D13semidirect
1473. C13#34670semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D132
#131190932
#131190782
#131189732
#131189582
#131188832
#131188682
#131187842
#131187692
#131186562
#131185822
#131184992
#131183832
#131183092
#131182282
#131182072
#131181602
#131181192
#131180932
#131180782
#131180722
C4×#882002
C4×#881832
C4×#881932
C4×#881912
#131172812
#131172732
#131172152
C2×C4×#61032
C2×C13×#5292
#3467013