Finite Group Databasebeta

← #16033107

Subgroups — #16033107

Order 3328.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719252C211yesmaximal, characteristic, complemented
2#13119978C211yesmaximal, characteristic, complemented
3#13119963C211yesmaximal, characteristic, complemented
4#13119948C211yesmaximal, characteristic, complemented
5#13119933C211yesmaximal, characteristic, complemented
6#13119916C211yesmaximal, characteristic, complemented
7#13119907C211yesmaximal, characteristic, complemented
8#13119894C211yesmaximal, characteristic, complemented
9#13119879C211yesmaximal, characteristic, complemented
10#13119844C211yesmaximal, characteristic, complemented
11#13119794C211yesmaximal, characteristic, complemented
12#13119766C211yesmaximal, characteristic, complemented
13#13119725C211yesmaximal, characteristic, complemented
14#13119166C211yesmaximal, characteristic, complemented
15#13118969C211yesmaximal, characteristic, complemented
16#13118391C211yesmaximal, characteristic, complemented
17#13118378C211yesmaximal, characteristic, complemented
18#13118106C211yesmaximal, characteristic, complemented
19#13118093C211yesmaximal, characteristic, complemented
20#13118072C211yesmaximal, characteristic, complemented
21#13118051C211yesmaximal, characteristic, complemented
22C4×#88201C211yesmaximal, characteristic, complemented
23C4×#88183C211yesmaximal, characteristic, complemented
24C4×#88193C211yesmaximal, characteristic, complemented
25C4×#88193C211yesmaximal, characteristic, complemented
26C4×#88191C211yesmaximal, characteristic, complemented
27#13117324C211yesmaximal, characteristic, complemented
28#13117295C211yesmaximal, characteristic, complemented
29C4×D4×Dic13C211yesmaximal, characteristic, complemented
30C2×C4×#6103C211yesmaximal, characteristic, complemented
31C2×C13×#529C211yesmaximal, characteristic, complemented
32C22×#6127C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C13×#529—28no—
35C2×C13×#126C2211yescharacteristic, complemented
36C2×C13×#126C2211yescharacteristic, complemented
37C2×C13×#125C2211yescharacteristic, complemented
38C2×C13×#124C2211yescharacteristic, complemented
39C2×C13×#123C2211yescharacteristic
40C2×C13×#123C2211yescharacteristic
41C2×C13×C22⋊Q8C2211yescharacteristic
42C2×C13×#121C2211yescharacteristic
43C2×C4×Q8×C13C2211yescharacteristic, complemented
44C2×C4×D4×C13C2211yescharacteristic
45C2×C4×D4×C13C2211yescharacteristic
46C2×C4×D4×C13C2211yescharacteristic, complemented
47C2×C13×#117C2211yescharacteristic, complemented
48C2×C13×#117C2211yescharacteristic, complemented
49C22×C42×C13C2211yescharacteristic
50C2×#88201C2211yescharacteristic
51C2×#88193C2211yescharacteristic
52C2×#88193C2211yescharacteristic
53C2×#88193C2211yescharacteristic
54C2×#88191C2211yescharacteristic
55C2×#88191C2211yescharacteristic
56C2×D4×Dic13C2211yescharacteristic
57C2×D4×Dic13C2211yescharacteristic
58C2×#88183C2211yescharacteristic
59C2×C4×C22⋊D13C2211yescharacteristic
60C2×C4×C22⋊D13C2211yescharacteristic
61C2×C4×C22⋊D13C2211yescharacteristic
62C2×C4×C22⋊D13C2211yescharacteristic
63C2×C4×C22⋊D13C2211yescharacteristic, complemented
64C22×#6103C2211yescharacteristic
65C22×#6103C2211yescharacteristic
66C22×C4×Dic13C2211yescharacteristic
67C22×C4×Dic13C2211yescharacteristic, complemented
68#11719252—28no—
69C2×#88150C2211yescharacteristic
70C2×#88148C2211yescharacteristic
71C2×#88138C2211yescharacteristic
72C2×#88137C2211yescharacteristic
73C2×#88136C2211yescharacteristic
74C2×#88132C2211yescharacteristic
75C2×C4×D52C2211yescharacteristic
76C2×#88126C2211yescharacteristic
77#11718892C2211yescharacteristic
78#11718891C2211yescharacteristic, complemented
79#11718890C2211yescharacteristic, complemented
80#11718884C2211yescharacteristic
81#11718884C2211yescharacteristic, complemented
82#11718881C2211yescharacteristic
83#11718881C2211yescharacteristic
84#11718881C2211yescharacteristic, complemented
85#11718874C2211yescharacteristic
86#11718872C2211yescharacteristic
87#11718871C2211yescharacteristic
88C4×C22⋊Dic13C2211yescharacteristic
89C4×C22⋊Dic13C2211yescharacteristic, complemented
90C4×C22⋊Dic13C2211yescharacteristic, complemented
91C2×#88071C2211yescharacteristic
92C2×#88071C2211yescharacteristic
93#11718655C2211yescharacteristic
94#11718655C2211yescharacteristic
95#11718655C2211yescharacteristic
96#11718655C2211yescharacteristic, complemented
97#11718654C2211yescharacteristic
98#11718653C2211yescharacteristic
99#11718653C2211yescharacteristic
100#11718652C2211yescharacteristic
101#11718652C2211yescharacteristic
102#11718651C2211yescharacteristic
103#11718651C2211yescharacteristic
104#11718651C2211yescharacteristic
105#11718651C2211yescharacteristic
106#11718651C2211yescharacteristic
107#11718651C2211yescharacteristic, complemented
108#11718651C2211yescharacteristic, complemented
109#11718651C2211yescharacteristic, complemented
110#11718650C2211yescharacteristic
111#11718650C2211yescharacteristic
112#11718649C2211yescharacteristic
113#11718649C2211yescharacteristic
114#11718649C2211yescharacteristic
115#11718645C2211yescharacteristic, complemented
116#11718645C2211yescharacteristic, complemented
117#11718644C2211yescharacteristic, complemented
118#11718643C2211yescharacteristic, complemented
119#11718643C2211yescharacteristic, complemented
120#11718641C2211yescharacteristic, complemented
121#11718640C2211yescharacteristic, complemented
122#11718638C2211yescharacteristic, complemented
123C4⋊C4×Dic13C2211yescharacteristic, complemented
124C4⋊C4×Dic13C2211yescharacteristic, complemented
125#11718635C2211yescharacteristic, complemented
126#11718635C2211yescharacteristic, complemented
127#11718633C2211yescharacteristic, complemented
128#11718633C2211yescharacteristic, complemented
129#11718633C2211yescharacteristic, complemented
130#11718633C2211yescharacteristic, complemented
131#11718622C2211yescharacteristic
132#11718622C2211yescharacteristic, complemented
133#11718621C2211yescharacteristic
134#11718621C2211yescharacteristic
135#11718620C2211yescharacteristic
136#11718620C2211yescharacteristic
137#11718620C2211yescharacteristic
138#11718620C2211yescharacteristic, complemented
139#11718619C2211yescharacteristic
140#11718619C2211yescharacteristic
141#11718619C2211yescharacteristic
142#11718619C2211yescharacteristic
143#11718619C2211yescharacteristic, complemented
144#11718619C2211yescharacteristic, complemented
145#11718618C2211yescharacteristic
146#11718618C2211yescharacteristic
147#11718618C2211yescharacteristic
148#11718618C2211yescharacteristic, complemented
149#11718617C2211yescharacteristic
150#11718617C2211yescharacteristic
151#11718616C2211yescharacteristic
152#11718614C2211yescharacteristic, complemented
153#11718613C2211yescharacteristic, complemented
154#11718613C2211yescharacteristic, complemented
155#11718608C2211yescharacteristic, complemented
156#11718607C2211yescharacteristic
157#11718606C2211yescharacteristic, complemented
158#11718606C2211yescharacteristic, complemented
159#11718606C2211yescharacteristic, complemented
160#11718606C2211yescharacteristic, complemented
161#11718603C2211yescharacteristic
162#11718603C2211yescharacteristic, complemented
163C22⋊C4×Dic13C2211yescharacteristic
164C22⋊C4×Dic13C2211yescharacteristic
165C22⋊C4×Dic13C2211yescharacteristic, complemented
166C22⋊C4×Dic13C2211yescharacteristic, complemented
167#11718601C2211yescharacteristic, complemented
168#11718601C2211yescharacteristic, complemented
169C4×#6103C2211yescharacteristic
170C4×#6103C2211yescharacteristic
171C4×#6103C2211yescharacteristic
172C4×#6103C2211yescharacteristic
173C4×#6103C2211yescharacteristic
174C4×#6103C2211yescharacteristic
175C4×#6103C2211yescharacteristic
176C4×#6103C2211yescharacteristic
177C4×#6103C2211yescharacteristic
178C4×#6103C2211yescharacteristic
179C4×#6103C2211yescharacteristic, complemented
180C4×#6103C2211yescharacteristic, complemented
181C4×#6103C2211yescharacteristic, complemented
182C4×C4⋊Dic13C2211yescharacteristic, complemented
183#11718594C2211yescharacteristic, complemented
184#11718594C2211yescharacteristic, complemented
185C4×#6101C2211yescharacteristic, complemented
186C4×#6101C2211yescharacteristic, complemented
187C4×#6101C2211yescharacteristic, complemented
188C42×Dic13C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C22×Q8×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C22×C22⋊D13C2311yescharacteristic
206C23×Dic13C2311yescharacteristic
207C23×Dic13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C23×Dic13C2311yescharacteristic
210C23×Dic13C2311yescharacteristic
211C2×#6127—24no—
212C2×#6127—24no—
213C2×#6127—42no—
214C22×D52C2311yescharacteristic
215C22×D52C2311yescharacteristic
216C22×C4×D13—24no—
217C22×C4×D13—24no—
218C22×C4×D13—42no—
219C22×C4×D13C2311yescharacteristic
220C22×C4×D13C2311yescharacteristic
221C22×C4×D13C2311yescharacteristic
222C22×C4×D13C2311yescharacteristic
223C22×C4×D13C2311yescharacteristic
224C22×Dic26C2311yescharacteristic
225C13×#126—24no—
226C13×#126—24no—
227C13×#125—24no—
228C13×#124—24no—
229C13×#123—24no—
230C13×#123—24no—
231C13×C22⋊Q8—24no—
232C13×#121—24no—
233C4×Q8×C13—24no—
234C4×D4×C13—24no—
235C4×D4×C13—24no—
236C4×D4×C13D418yescomplemented
237C13×#117—24no—
238C13×#117—24no—
239C2×C13×C4⋊C4C2311yescharacteristic
240C2×C13×C4⋊C4C2311yescharacteristic
241C2×C13×C4⋊C4C2311yescharacteristic
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×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×C42×C13—24no—
260C2×C42×C13C2311yescharacteristic
261C2×C42×C13C2311yescharacteristic
262C2×C42×C13C2311yescharacteristic
263C2×C42×C13C2311yescharacteristic
264C2×C42×C13C2311yescharacteristic
265C2×C42×C13C2311yescharacteristic
266C2×C22⋊Dic13C2311yescharacteristic
267C2×C22⋊Dic13C2311yescharacteristic
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
277#88201—24no—
278#88193—24no—
279#88193—24no—
280#88193—24no—
281#88191—24no—
282#88191—24no—
283D4×Dic13—24no—
284D4×Dic13—24no—
285#88183—24no—
286C4×C22⋊D13—24no—
287C4×C22⋊D13—24no—
288C4×C22⋊D13—24no—
289C4×C22⋊D13—42no—
290C4×C22⋊D13—42no—
291C2×#6103—24no—
292C2×#6103—24no—
293C2×#6103C2311yescharacteristic
294C2×#6103C2311yescharacteristic
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
320C2×C4⋊Dic13C2311yescharacteristic
321C2×C4⋊Dic13C2311yescharacteristic
322C2×C4⋊Dic13C2311yescharacteristic
323C2×#6101C2311yescharacteristic
324C2×#6101C2311yescharacteristic
325C2×#6101C2311yescharacteristic
326C2×#6101C2311yescharacteristic
327C2×#6101C2311yescharacteristic
328C2×#6101C2311yescharacteristic
329C2×#6101C2311yescharacteristic
330C2×#6101C2311yescharacteristic
331C2×#6101C2311yescharacteristic
332C2×#6101C2311yescharacteristic
333C2×#6101C2311yescharacteristic
334C2×#6101C2311yescharacteristic
335C2×#6101C2311yescharacteristic
336C2×C4×Dic13—42no—
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
347C2×C4×Dic13C2311yescharacteristic
348C2×C4×Dic13C2311yescharacteristic
349C2×C4×Dic13C2311yescharacteristic
350C2×C4×Dic13C2311yescharacteristic
351#88150—24no—
352#88148—24no—
353#88138—24no—
354#88137—24no—
355#88136—24no—
356#88132—24no—
357C4×D52—24no—
358#88126—24no—
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#34829—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—41no—
401C23×D13—41no—
402C23×D13C2411yescharacteristic
403C23×D13C2411yescharacteristic
404C23×D13C2411yescharacteristic
405C2×Q8×C13—22no—
406C2×Q8×C13—22no—
407C2×Q8×C13—41no—
408C2×D4×C13—22no—
409C2×D4×C13—22no—
410C2×D4×C13—22no—
411C2×D4×C13—22no—
412C2×D4×C13—22no—
413C2×D4×C13—22no—
414C2×D4×C13—22no—
415C2×D4×C13—41no—
416C2×D4×C13C2×D414yes—
417C22×C4×C13—22no—
418C22×C4×C13—22no—
419C22×C4×C13—22no—
420C22×C4×C13—22no—
421C22×C4×C13—22no—
422C22×C4×C13—22no—
423C22×C4×C13—22no—
424C22×C4×C13—22no—
425C22×C4×C13—22no—
426C22×C4×C13—22no—
427C22×C4×C13—22no—
428C22×C4×C13—22no—
429C22×C4×C13—41no—
430C22×C4×C13C2×D414yes—
431C22×C4×C13C2×D414yes—
432C22×C4×C13C2411yescharacteristic
433C22×C4×C13C2411yescharacteristic
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C22×C4×C13C2411yescharacteristic
440C22×C4×C13C2411yescharacteristic
441C22×C4×C13C2411yescharacteristic
442C22×C4×C13C2411yescharacteristic
443C22×C4×C13C2411yescharacteristic
444C2×C22⋊D13—22no—
445C2×C22⋊D13—22no—
446C2×C22⋊D13—22no—
447C2×C22⋊D13—22no—
448C2×C22⋊D13—22no—
449C2×C22⋊D13—22no—
450C2×C22⋊D13—22no—
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—41no—
459C2×C22⋊D13—41no—
460C2×C22⋊D13—41no—
461C2×C22⋊D13—41no—
462C2×C22⋊D13—41no—
463C2×C22⋊D13—41no—
464C2×C22⋊D13—41no—
465C22×Dic13—22no—
466C22×Dic13—22no—
467C22×Dic13—22no—
468C22×Dic13—22no—
469C22×Dic13—22no—
470C22×Dic13—22no—
471C22×Dic13—22no—
472C22×Dic13—41no—
473C22×Dic13—41no—
474C22×Dic13—41no—
475C22×Dic13—41no—
476C22×Dic13—41no—
477C22×Dic13—41no—
478C22×Dic13—41no—
479C22×Dic13#4114yescomplemented
480C22×Dic13C2411yescharacteristic
481C22×Dic13C2411yescharacteristic
482C22×Dic13C2411yescharacteristic
483C22×Dic13C2411yescharacteristic
484C22×Dic13C2411yescharacteristic
485C22×Dic13C2411yescharacteristic
486C22×Dic13C2411yescharacteristic
487C22×Dic13C2411yescharacteristic
488C22×Dic13C2411yescharacteristic
489C22×Dic13C2411yescharacteristic
490C22×Dic13C2411yescharacteristic
491C22×Dic13C2411yescharacteristic
492C22×Dic13C2411yescharacteristic
493#6127—416no—
494C2×D52—22no—
495C2×D52—22no—
496C2×D52—22no—
497C2×D52—22no—
498C2×D52—41no—
499C2×D52—41no—
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—416no—
513C2×C4×D13—41no—
514C2×C4×D13—41no—
515C2×C4×D13#4114yes—
516C2×Dic26—22no—
517C2×Dic26—22no—
518C2×Dic26—41no—
519C13×C4⋊C4—22no—
520C13×C4⋊C4—22no—
521C13×C4⋊C4—22no—
522C13×C4⋊C4—22no—
523C13×C4⋊C4—22no—
524C13×C4⋊C4—22no—
525C13×C4⋊C4—22no—
526C13×C4⋊C4—22no—
527C13×C4⋊C4—22no—
528C13×C4⋊C4C2×D414yes—
529C13×C22⋊C4—22no—
530C13×C22⋊C4—22no—
531C13×C22⋊C4—22no—
532C13×C22⋊C4—22no—
533C13×C22⋊C4—22no—
534C13×C22⋊C4—22no—
535C13×C22⋊C4—22no—
536C13×C22⋊C4—22no—
537C13×C22⋊C4C2×D414yes—
538C13×C22⋊C4C2×D414yes—
539C42×C13—22no—
540C42×C13—22no—
541C42×C13—22no—
542C42×C13—22no—
543C42×C13—22no—
544C42×C13C2×D414yes—
545C22⋊Dic13—22no—
546C22⋊Dic13—22no—
547C22⋊Dic13—22no—
548C22⋊Dic13—22no—
549C22⋊Dic13—22no—
550C22⋊Dic13—22no—
551C22⋊Dic13—22no—
552C22⋊Dic13—22no—
553C22⋊Dic13—41no—
554C22⋊Dic13—41no—
555C22⋊Dic13#4114yescomplemented
556#6103—22no—
557#6103—22no—
558#6103—22no—
559#6103—22no—
560#6103—22no—
561#6103—22no—
562#6103—22no—
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—41no—
579#6103—41no—
580#6103—41no—
581#6103—41no—
582#6103#4114yescomplemented
583C4⋊Dic13—22no—
584C4⋊Dic13—22no—
585C4⋊Dic13—22no—
586#6101—22no—
587#6101—22no—
588#6101—22no—
589#6101—22no—
590#6101—22no—
591#6101—22no—
592#6101—22no—
593#6101—22no—
594#6101—22no—
595#6101—41no—
596#6101—41no—
597#6101—41no—
598#6101—41no—
599C4×Dic13—22no—
600C4×Dic13—22no—
601C4×Dic13—22no—
602C4×Dic13—22no—
603C4×Dic13—22no—
604C4×Dic13—22no—
605C4×Dic13—22no—
606C4×Dic13—22no—
607C4×Dic13—41no—
608C4×Dic13—41no—
609C4×Dic13—41no—
610C4×Dic13—41no—
611C4×Dic13—41no—
612C2×#529D1311yescharacteristic, complemented
613C2×#525—131no—
614#2560—131no—
615#2559—131no—
616#2558—131no—
617#2557—131no—
618#2556—131no—
619#2555—131no—
620#2554—131no—
621#2553—131no—
622#2549—131no—
623#2543—131no—
624#2539—131no—
625#2534—131no—
626#2488—131no—
627#2472—131no—
628#2425—131no—
629#2424—131no—
630#2396—131no—
631#2395—131no—
632#2392—131no—
633#2388—131no—
634C4×#124—131no—
635C4×#123—131no—
636C4×#121—131no—
637C4×#121—131no—
638C4×#120—131no—
639#2297—131no—
640#2293—131no—
641C42×D4—131no—
642C2×C4×C22⋊C4—131no—
643C23×C13—21no—
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×C13C22×D412yes—
661C23×C13C22×D412yes—
662C23×C13C2×#4112yes—
663C23×C13C2×#4112yes—
664C23×C13C2511yescharacteristic
665C22×D13—28no—
666C22×D13—21no—
667C22×D13—21no—
668C22×D13—21no—
669C22×D13—21no—
670C22×D13—21no—
671C22×D13—21no—
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—21no—
685C22×D13—44no—
686C22×D13—44no—
687C22×D13—44no—
688C22×D13—44no—
689C22×D13—44no—
690C22×D13—44no—
691C22×D13C2×#4112yes—
692C22×D13C2×#4112yes—
693Q8×C13—44no—
694D4×C13—28no—
695D4×C13—44no—
696D4×C13—44no—
697C2×C4×C13—21no—
698C2×C4×C13—21no—
699C2×C4×C13—21no—
700C2×C4×C13—21no—
701C2×C4×C13—21no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—28no—
708C2×C4×C13—28no—
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—21no—
716C2×C4×C13—21no—
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—44no—
728C2×C4×C13—44no—
729C2×C4×C13—44no—
730C2×C4×C13C22×D412yes—
731C2×C4×C13C22×D412yes—
732C2×C4×C13C22×D412yes—
733C2×C4×C13C22×D412yes—
734C2×C4×C13C22×D412yes—
735C2×C4×C13C2×#4112yes—
736C2×C4×C13C2×#4112yes—
737C2×C4×C13H(5,𝔽2)12yes—
738C22⋊D13—44no—
739C22⋊D13—44no—
740C22⋊D13—44no—
741C22⋊D13—44no—
742C22⋊D13—44no—
743C22⋊D13—44no—
744C22⋊D13—44no—
745C2×Dic13—21no—
746C2×Dic13—21no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749C2×Dic13—21no—
750C2×Dic13—21no—
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—44no—
779C2×Dic13—44no—
780C2×Dic13—44no—
781C2×Dic13—44no—
782C2×Dic13—44no—
783C2×Dic13C2×#4112yes—
784C2×Dic13C2×#4112yes—
785C2×Dic13C2×#4112yes—
786C2×Dic13C2×#4112yes—
787C2×Dic13C2×#4112yes—
788C2×Dic13C2×#4112yes—
789D52—44no—
790D52—44no—
791C4×D13—28no—
792C4×D13—44no—
793C4×D13—44no—
794C4×D13—44no—
795C4×D13—44no—
796Dic26—44no—
797C22×#41—131no—
798C24×C4—131no—
799#529—28no—
800C2×#126C2×D1311yescharacteristic, complemented
801C2×#126C2×D1311yescharacteristic, complemented
802C2×#125C2×D1311yescharacteristic, complemented
803C2×#124—131no—
804C2×#124C2×D1311yescharacteristic, complemented
805#525—268no—
806C2×#123—131no—
807C2×#123—131no—
808C2×#123—131no—
809C2×#123C2×D1311yescharacteristic
810C2×#123C2×D1311yescharacteristic
811C2×C22⋊Q8—131no—
812C2×C22⋊Q8—131no—
813C2×C22⋊Q8C2×D1311yescharacteristic
814C2×#121—131no—
815C2×#121—131no—
816C2×#121—131no—
817C2×#121—131no—
818C2×#121C2×D1311yescharacteristic
819C2×#120—131no—
820C2×#120—131no—
821C2×#120—131no—
822C2×C4×Q8C2×D1311yescharacteristic, complemented
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×D4C2×D1311yescharacteristic
832C2×C4×D4C2×D1311yescharacteristic
833C2×C4×D4C2×D1311yescharacteristic, complemented
834C2×#117—131no—
835C2×#117C2×D1311yescharacteristic, complemented
836C2×#117C2×D1311yescharacteristic, complemented
837C22×C22⋊C4—131no—
838C22×C22⋊C4—131no—
839C22×C42—131no—
840C22×C42—131no—
841C22×C42C2×D1311yescharacteristic
842#400—131no—
843#400—131no—
844#399—131no—
845#399—131no—
846#398—131no—
847#398—131no—
848#398—131no—
849#398—131no—
850#397—131no—
851#397—131no—
852#397—131no—
853#397—131no—
854#396—131no—
855#396—131no—
856#396—131no—
857#396—131no—
858#395—131no—
859#395—131no—
860#394—131no—
861#394—131no—
862#394—131no—
863#394—131no—
864#394—131no—
865#394—131no—
866#394—131no—
867#394—131no—
868#393—131no—
869#393—131no—
870#392—131no—
871#392—131no—
872#392—131no—
873#392—131no—
874#391—131no—
875#391—131no—
876#391—131no—
877#390—131no—
878#390—131no—
879#390—131no—
880#390—131no—
881#390—131no—
882#390—131no—
883#390—131no—
884#389—131no—
885#389—131no—
886#389—131no—
887#389—131no—
888#388—131no—
889#388—131no—
890#388—131no—
891#388—131no—
892#388—131no—
893#388—131no—
894#388—131no—
895#388—131no—
896#388—131no—
897#388—131no—
898#388—131no—
899#388—131no—
900#388—131no—
901#388—131no—
902#387—131no—
903#387—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#386—131no—
913#386—131no—
914#386—131no—
915#386—131no—
916#385—131no—
917#385—131no—
918#385—131no—
919#385—131no—
920#382—131no—
921#381—131no—
922#380—131no—
923#380—131no—
924#379—131no—
925C4×C4⋊C4—131no—
926C4×C4⋊C4—131no—
927C4×C4⋊C4—131no—
928C4×C4⋊C4—131no—
929C4×C4⋊C4—131no—
930C4×C4⋊C4—131no—
931C4×C22⋊C4—131no—
932C4×C22⋊C4—131no—
933C4×C22⋊C4—131no—
934C4×C22⋊C4—131no—
935C4×C22⋊C4—131no—
936C4×C22⋊C4—131no—
937C4×C22⋊C4—131no—
938C4×C22⋊C4—131no—
939C4×C22⋊C4—131no—
940C4×C22⋊C4—131no—
941C4×C22⋊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—
951C2×#95—131no—
952C2×#95—131no—
953C43—131no—
954C22×C13—22no—
955C22×C13—22no—
956C22×C13—22no—
957C22×C13—22no—
958C22×C13—22no—
959C22×C13—22no—
960C22×C13—22no—
961C22×C13—22no—
962C22×C13—22no—
963C22×C13—41no—
964C22×C13—41no—
965C22×C13—41no—
966C22×C13—41no—
967C22×C13—41no—
968C22×C13—41no—
969C22×C13—41no—
970C22×C13—41no—
971C22×C13—41no—
972C22×C13—41no—
973C22×C13—41no—
974C22×C13#53214yes—
975C22×C13C23×D411yescharacteristic
976C22×C13C22×#4111yescharacteristic
977C22×C13C22×#4111yescharacteristic
978C22×C13C22×#4111yescharacteristic
979C22×C13C22×#4111yescharacteristic
980C22×C13C2×H(5,𝔽2)11yescharacteristic
981C22×C13#58511yescharacteristic
982C2×D13—22no—
983C2×D13—22no—
984C2×D13—22no—
985C2×D13—22no—
986C2×D13—22no—
987C2×D13—22no—
988C2×D13—416no—
989C2×D13—41no—
990C2×D13—41no—
991C2×D13—41no—
992C2×D13—41no—
993C2×D13—41no—
994C2×D13—41no—
995C2×D13—41no—
996C2×D13—41no—
997C2×D13—41no—
998C2×D13—41no—
999C2×D13—41no—
1000C2×D13—41no—
1001C2×D13—41no—
1002C2×D13—41no—
1003C2×D13—41no—
1004C4×C13—22no—
1005C4×C13—22no—
1006C4×C13—22no—
1007C4×C13—22no—
1008C4×C13—22no—
1009C4×C13—41no—
1010C4×C13—41no—
1011C4×C13—41no—
1012C4×C13—41no—
1013C4×C13—41no—
1014C4×C13—41no—
1015C4×C13#54614yes—
1016Dic13—22no—
1017Dic13—22no—
1018Dic13—22no—
1019Dic13—22no—
1020Dic13—22no—
1021Dic13—22no—
1022Dic13—41no—
1023Dic13—41no—
1024Dic13—41no—
1025Dic13—41no—
1026Dic13—41no—
1027Dic13—41no—
1028Dic13—41no—
1029C25—131no—
1030C2×#41—264no—
1031C2×#41—264no—
1032C2×#41—522no—
1033C22×Q8—131no—
1034C22×Q8C22×D1311yescharacteristic
1035C22×D4—131no—
1036C22×D4—131no—
1037C22×D4—131no—
1038C22×D4—131no—
1039C22×D4—131no—
1040C22×D4—131no—
1041C22×D4—131no—
1042C22×D4—131no—
1043C22×D4—131no—
1044C22×D4C22×D1311yescharacteristic
1045C22×D4C22×D1311yescharacteristic
1046C22×D4C22×D1311yescharacteristic
1047C23×C4—131no—
1048C23×C4—131no—
1049C23×C4—131no—
1050C23×C4—131no—
1051C23×C4—131no—
1052C23×C4—131no—
1053C23×C4—131no—
1054C23×C4—131no—
1055C23×C4—131no—
1056C23×C4—131no—
1057C23×C4—264no—
1058C23×C4—264no—
1059C23×C4—522no—
1060C23×C4C22×D1311yescharacteristic
1061C23×C4C22×D1311yescharacteristic
1062C23×C4C22×D1311yescharacteristic
1063C23×C4C22×D1311yescharacteristic
1064C23×C4C22×D1311yescharacteristic
1065#126—24no—
1066#126—24no—
1067#125—24no—
1068#124—24no—
1069#124—264no—
1070#123—24no—
1071#123—24no—
1072#123—264no—
1073#123—264no—
1074#123—264no—
1075C22⋊Q8—24no—
1076C22⋊Q8—264no—
1077C22⋊Q8—264no—
1078#121—24no—
1079#121—264no—
1080#121—264no—
1081#121—264no—
1082#121—264no—
1083#120—264no—
1084#120—264no—
1085#120—264no—
1086C4×Q8—24no—
1087C4×D4—24no—
1088C4×D4—24no—
1089C4×D4—264no—
1090C4×D4—264no—
1091C4×D4—264no—
1092C4×D4—264no—
1093C4×D4—264no—
1094C4×D4—264no—
1095C4×D4—522no—
1096C4×D4—522no—
1097C4×D4C22⋊D1318yescomplemented
1098#117—24no—
1099#117—24no—
1100#117—264no—
1101C2×C4⋊C4—131no—
1102C2×C4⋊C4—131no—
1103C2×C4⋊C4—131no—
1104C2×C4⋊C4—131no—
1105C2×C4⋊C4—131no—
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⋊C4C22×D1311yescharacteristic
1118C2×C4⋊C4C22×D1311yescharacteristic
1119C2×C4⋊C4C22×D1311yescharacteristic
1120C2×C4⋊C4C22×D1311yescharacteristic
1121C2×C4⋊C4C22×D1311yescharacteristic
1122C2×C4⋊C4C22×D1311yescharacteristic
1123C2×C4⋊C4C22×D1311yescharacteristic
1124C2×C4⋊C4C22×D1311yescharacteristic
1125C2×C4⋊C4C22×D1311yescharacteristic
1126C2×C4⋊C4C22×D1311yescharacteristic
1127C2×C22⋊C4—131no—
1128C2×C22⋊C4—131no—
1129C2×C22⋊C4—131no—
1130C2×C22⋊C4—131no—
1131C2×C22⋊C4—131no—
1132C2×C22⋊C4—131no—
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—264no—
1166C2×C22⋊C4—264no—
1167C2×C22⋊C4C22×D1311yescharacteristic
1168C2×C22⋊C4C22×D1311yescharacteristic
1169C2×C22⋊C4C22×D1311yescharacteristic
1170C2×C22⋊C4C22×D1311yescharacteristic
1171C2×C22⋊C4C22×D1311yescharacteristic
1172C2×C22⋊C4C22×D1311yescharacteristic
1173C2×C22⋊C4C22×D1311yescharacteristic
1174C2×C22⋊C4C22×D1311yescharacteristic
1175C2×C22⋊C4C22×D1311yescharacteristic
1176C2×C22⋊C4C22×D1311yescharacteristic
1177C2×C42—24no—
1178C2×C42—131no—
1179C2×C42—131no—
1180C2×C42—131no—
1181C2×C42—131no—
1182C2×C42—131no—
1183C2×C42—131no—
1184C2×C42—131no—
1185C2×C42—131no—
1186C2×C42—131no—
1187C2×C42—131no—
1188C2×C42—131no—
1189C2×C42—131no—
1190C2×C42—131no—
1191C2×C42—522no—
1192C2×C42—522no—
1193C2×C42C22×D1311yescharacteristic
1194C2×C42C22×D1311yescharacteristic
1195C2×C42C22×D1311yescharacteristic
1196C2×C42C22×D1311yescharacteristic
1197C2×C42C22×D1311yescharacteristic
1198C2×C42C22×D1311yescharacteristic
1199#95—131no—
1200#95—131no—
1201#95—131no—
1202#95—131no—
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—
1231C2×C13—24no—
1232C2×C13—42no—
1233C2×C13—81no—
1234C2×C13C2×#53211yescharacteristic
1235C2×C13#344411yescharacteristic
1236C2×C13#345911yescharacteristic
1237C2×C13C2×#54611yescharacteristic
1238C2×C13D4×#4111yescharacteristic
1239C2×C13#347511yescharacteristic
1240C2×C13#348111yescharacteristic
1241D13—42no—
1242D13—42no—
1243D13—81no—
1244C24—131no—
1245C24—131no—
1246C24—131no—
1247C24—262no—
1248C24—262no—
1249C24—262no—
1250C24—262no—
1251C24—262no—
1252C24—521no—
1253C24—521no—
1254C24C23×D1311yescharacteristic
1255C24C23×D1311yescharacteristic
1256C24C23×D1311yescharacteristic
1257#41—5216no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—41no—
1261C2×Q8—262no—
1262C2×Q8—262no—
1263C2×Q8—521no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—41no—
1272C2×D4—262no—
1273C2×D4—262no—
1274C2×D4—262no—
1275C2×D4—262no—
1276C2×D4—262no—
1277C2×D4—262no—
1278C2×D4—262no—
1279C2×D4—262no—
1280C2×D4—262no—
1281C2×D4—262no—
1282C2×D4—262no—
1283C2×D4—262no—
1284C2×D4—262no—
1285C2×D4—262no—
1286C2×D4—262no—
1287C2×D4—262no—
1288C2×D4—262no—
1289C2×D4—262no—
1290C2×D4—521no—
1291C2×D4—521no—
1292C2×D4—521no—
1293C2×D4—521no—
1294C2×D4—521no—
1295C2×D4—521no—
1296C2×D4—521no—
1297C2×D4—521no—
1298C2×D4—521no—
1299C2×D4C2×C22⋊D1314yes—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
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—41no—
1313C22×C4—131no—
1314C22×C4—131no—
1315C22×C4—131no—
1316C22×C4—131no—
1317C22×C4—131no—
1318C22×C4—131no—
1319C22×C4—134no—
1320C22×C4—134no—
1321C22×C4—131no—
1322C22×C4—131no—
1323C22×C4—131no—
1324C22×C4—131no—
1325C22×C4—131no—
1326C22×C4—131no—
1327C22×C4—131no—
1328C22×C4—262no—
1329C22×C4—262no—
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—521no—
1348C22×C4—521no—
1349C22×C4—5216no—
1350C22×C4—521no—
1351C22×C4—521no—
1352C22×C4—521no—
1353C22×C4—521no—
1354C22×C4—521no—
1355C22×C4—521no—
1356C22×C4—521no—
1357C22×C4C2×C22⋊D1314yes—
1358C22×C4C2×C22⋊D1314yes—
1359C22×C4C23×D1311yescharacteristic
1360C22×C4C23×D1311yescharacteristic
1361C22×C4C23×D1311yescharacteristic
1362C22×C4C23×D1311yescharacteristic
1363C22×C4C23×D1311yescharacteristic
1364C22×C4C23×D1311yescharacteristic
1365C22×C4C23×D1311yescharacteristic
1366C22×C4C23×D1311yescharacteristic
1367C22×C4C23×D1311yescharacteristic
1368C22×C4C23×D1311yescharacteristic
1369C22×C4C23×D1311yescharacteristic
1370C22×C4C23×D1311yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—262no—
1381C4⋊C4—262no—
1382C4⋊C4—262no—
1383C4⋊C4—262no—
1384C4⋊C4—262no—
1385C4⋊C4—262no—
1386C4⋊C4—262no—
1387C4⋊C4—262no—
1388C4⋊C4—262no—
1389C4⋊C4—262no—
1390C4⋊C4—262no—
1391C4⋊C4—262no—
1392C4⋊C4—521no—
1393C4⋊C4—521no—
1394C4⋊C4—521no—
1395C4⋊C4—521no—
1396C4⋊C4C2×C22⋊D1314yes—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—134no—
1406C22⋊C4—134no—
1407C22⋊C4—262no—
1408C22⋊C4—262no—
1409C22⋊C4—262no—
1410C22⋊C4—262no—
1411C22⋊C4—262no—
1412C22⋊C4—262no—
1413C22⋊C4—262no—
1414C22⋊C4—262no—
1415C22⋊C4—262no—
1416C22⋊C4—262no—
1417C22⋊C4—262no—
1418C22⋊C4—262no—
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—521no—
1438C22⋊C4—521no—
1439C22⋊C4—521no—
1440C22⋊C4—521no—
1441C22⋊C4—521no—
1442C22⋊C4—521no—
1443C22⋊C4C2×C22⋊D1314yes—
1444C22⋊C4C2×C22⋊D1314yes—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—262no—
1451C42—262no—
1452C42—262no—
1453C42—262no—
1454C42—262no—
1455C42—262no—
1456C42—262no—
1457C42—262no—
1458C42—521no—
1459C42—521no—
1460C42—521no—
1461C42—521no—
1462C42—521no—
1463C42C2×C22⋊D1314yes—
1464C13#3482911yescharacteristic, complemented, Sylow
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—132no—
1483C23—132no—
1484C23—268no—
1485C23—261no—
1486C23—261no—
1487C23—261no—
1488C23—261no—
1489C23—261no—
1490C23—261no—
1491C23—261no—
1492C23—261no—
1493C23—261no—
1494C23—261no—
1495C23—261no—
1496C23—261no—
1497C23—261no—
1498C23—261no—
1499C23—261no—
1500C23—261no—
1501C23—261no—
1502C23—261no—
1503C23—261no—
1504C23—524no—
1505C23—524no—
1506C23—524no—
1507C23—524no—
1508C23—524no—
1509C23—524no—
1510C23#41×D1312yes—
1511C23#41×D1312yes—
1512C23C22×C22⋊D1312yes—
1513C23C22×C22⋊D1312yes—
1514C23C24×D1311yescharacteristic
1515Q8—44no—
1516Q8—524no—
1517D4—28no—
1518D4—44no—
1519D4—44no—
1520D4—524no—
1521D4—524no—
1522D4—524no—
1523D4—524no—
1524D4—524no—
1525D4—524no—
1526D4—524no—
1527D4—524no—
1528D4—524no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—28no—
1540C2×C4—28no—
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—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—132no—
1563C2×C4—132no—
1564C2×C4—132no—
1565C2×C4—132no—
1566C2×C4—132no—
1567C2×C4—132no—
1568C2×C4—261no—
1569C2×C4—261no—
1570C2×C4—261no—
1571C2×C4—261no—
1572C2×C4—261no—
1573C2×C4—261no—
1574C2×C4—261no—
1575C2×C4—261no—
1576C2×C4—261no—
1577C2×C4—261no—
1578C2×C4—261no—
1579C2×C4—261no—
1580C2×C4—268no—
1581C2×C4—261no—
1582C2×C4—261no—
1583C2×C4—261no—
1584C2×C4—261no—
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—524no—
1603C2×C4—524no—
1604C2×C4—524no—
1605C2×C4—524no—
1606C2×C4—524no—
1607C2×C4—524no—
1608C2×C4—524no—
1609C2×C4—524no—
1610C2×C4—524no—
1611C2×C4#41×D1312yes—
1612C2×C4#41×D1312yes—
1613C2×C4#8825612yes—
1614C2×C4C22×C22⋊D1312yes—
1615C2×C4C22×C22⋊D1312yes—
1616C2×C4C22×C22⋊D1312yes—
1617C2×C4C22×C22⋊D1312yes—
1618C2×C4C22×C22⋊D1312yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—262no—
1640C22—262no—
1641C22—262no—
1642C22—262no—
1643C22—262no—
1644C22—262no—
1645C22—5216no—
1646C22—521no—
1647C22—521no—
1648C22—521no—
1649C22—521no—
1650C22—521no—
1651C22—521no—
1652C22—521no—
1653C22—521no—
1654C22—521no—
1655C22—521no—
1656C22—521no—
1657C22—521no—
1658C22—521no—
1659C22—521no—
1660C22—521no—
1661C22#1171953714yes—
1662C22C2×#41×D1311yescharacteristic
1663C22C2×#41×D1311yescharacteristic
1664C22C2×#41×D1311yescharacteristic
1665C22C2×#41×D1311yescharacteristic
1666C22C2×#8825611yescharacteristic
1667C22#1171964811yescharacteristic
1668C22C23×C22⋊D1311yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—262no—
1681C4—262no—
1682C4—262no—
1683C4—262no—
1684C4—262no—
1685C4—262no—
1686C4—521no—
1687C4—521no—
1688C4—521no—
1689C4—521no—
1690C4—521no—
1691C4—521no—
1692C4—521no—
1693C4#1171953414yes—
1694C2—24no—
1695C2—42no—
1696C2—81no—
1697C2—522no—
1698C2—522no—
1699C2—1041no—
1700C2C2×#1171953711yescharacteristic
1701C2#1312813011yescharacteristic
1702C2#1312824611yescharacteristic
1703C2C2×#1171953411yescharacteristic
1704C2#41×C22⋊D1311yescharacteristic
1705C2#1312838811yescharacteristic
1706C2#1312844211yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC2×C13×#529C2
hypercenterC2×#529D13
hypocenterC13#34829
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×#11719252C2semidirect
2. #13119978C2semidirect
3. #13119963C2semidirect
4. #13119948C2semidirect
5. #13119933C2semidirect
6. #13119916C2semidirect
7. #13119907C2semidirect
8. #13119894C2semidirect
9. #13119879C2semidirect
10. #13119844C2semidirect
11. #13119794C2semidirect
12. #13119766C2semidirect
13. #13119725C2semidirect
14. #13119166C2semidirect
15. #13118969C2semidirect
16. #13118391C2semidirect
17. #13118378C2semidirect
18. #13118106C2semidirect
19. #13118093C2semidirect
20. #13118072C2semidirect
21. #13118051C2semidirect
22. C4×#88201C2semidirect
23. C4×#88183C2semidirect
24. C4×#88193C2semidirect
25. C4×#88193C2semidirect
26. C4×#88191C2semidirect
27. #13117324C2semidirect
28. #13117295C2semidirect
29. C4×D4×Dic13C2semidirect
30. C2×C4×#6103C2semidirect
31. C2×C13×#529C2semidirect
35. C2×C13×#126C22semidirect
36. C2×C13×#126C22semidirect
37. C2×C13×#125C22semidirect
38. C2×C13×#124C22semidirect
43. C2×C4×Q8×C13C22semidirect
46. C2×C4×D4×C13C22semidirect
47. C2×C13×#117C22semidirect
48. C2×C13×#117C22semidirect
63. C2×C4×C22⋊D13C22semidirect
67. C22×C4×Dic13C22semidirect
78. #11718891C22semidirect
79. #11718890C22semidirect
81. #11718884C22semidirect
84. #11718881C22semidirect
89. C4×C22⋊Dic13C22semidirect
90. C4×C22⋊Dic13C22semidirect
96. #11718655C22semidirect
107. #11718651C22semidirect
108. #11718651C22semidirect
109. #11718651C22semidirect
115. #11718645C22semidirect
116. #11718645C22semidirect
117. #11718644C22semidirect
118. #11718643C22semidirect
119. #11718643C22semidirect
120. #11718641C22semidirect
121. #11718640C22semidirect
122. #11718638C22semidirect
123. C4⋊C4×Dic13C22semidirect
124. C4⋊C4×Dic13C22semidirect
125. #11718635C22semidirect
126. #11718635C22semidirect
127. #11718633C22semidirect
128. #11718633C22semidirect
129. #11718633C22semidirect
130. #11718633C22semidirect
132. #11718622C22semidirect
138. #11718620C22semidirect
143. #11718619C22semidirect
144. #11718619C22semidirect
148. #11718618C22semidirect
152. #11718614C22semidirect
153. #11718613C22semidirect
154. #11718613C22semidirect
155. #11718608C22semidirect
157. #11718606C22semidirect
158. #11718606C22semidirect
159. #11718606C22semidirect
160. #11718606C22semidirect
162. #11718603C22semidirect
165. C22⋊C4×Dic13C22semidirect
166. C22⋊C4×Dic13C22semidirect
167. #11718601C22semidirect
168. #11718601C22semidirect
179. C4×#6103C22semidirect
180. C4×#6103C22semidirect
181. C4×#6103C22semidirect
182. C4×C4⋊Dic13C22semidirect
183. #11718594C22semidirect
184. #11718594C22semidirect
185. C4×#6101C22semidirect
186. C4×#6101C22semidirect
187. C4×#6101C22semidirect
188. C42×Dic13C22semidirect
236. C4×D4×C13D4semidirect
479. C22×Dic13#41semidirect
555. C22⋊Dic13#41semidirect
582. #6103#41semidirect
612. C2×#529D13semidirect
800. C2×#126C2×D13semidirect
801. C2×#126C2×D13semidirect
802. C2×#125C2×D13semidirect
804. C2×#124C2×D13semidirect
822. C2×C4×Q8C2×D13semidirect
833. C2×C4×D4C2×D13semidirect
835. C2×#117C2×D13semidirect
836. C2×#117C2×D13semidirect
1097. C4×D4C22⋊D13semidirect
1464. C13#34829semidirect

Maximal subgroups

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

subgroupindex
C2×#117192522
#131199782
#131199632
#131199482
#131199332
#131199162
#131199072
#131198942
#131198792
#131198442
#131197942
#131197662
#131197252
#131191662
#131189692
#131183912
#131183782
#131181062
#131180932
#131180722
#131180512
C4×#882012
C4×#881832
C4×#881932
C4×#881912
#131173242
#131172952
C4×D4×Dic132
C2×C4×#61032
C2×C13×#5292
#3482913