Finite Group Databasebeta

← #16035619

Subgroups — #16035619

Order 3328.

2878 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×#11719269C211yesmaximal, characteristic, complemented
2#13123151C211yesmaximal, characteristic, complemented
3#13123146C211yesmaximal, characteristic, complemented
4#13123128C211yesmaximal, characteristic, complemented
5#13123123C211yesmaximal, characteristic, complemented
6#13120753C211yesmaximal, characteristic, complemented
7#13120731C211yesmaximal, characteristic, complemented
8#13120704C211yesmaximal, characteristic, complemented
9#13120673C211yesmaximal, characteristic, complemented
10#13119076C211yesmaximal, characteristic, complemented
11#13118971C211yesmaximal, characteristic, complemented
12#13118866C211yesmaximal, characteristic, complemented
13#13118827C211yesmaximal, characteristic, complemented
14#13118782C211yesmaximal, characteristic, complemented
15#13118713C211yesmaximal, characteristic, complemented
16#13118645C211yesmaximal, characteristic, complemented
17#13118639C211yesmaximal, characteristic, complemented
18#13118565C211yesmaximal, characteristic, complemented
19#13118497C211yesmaximal, characteristic, complemented
20#13118381C211yesmaximal, characteristic, complemented
21#13118307C211yesmaximal, characteristic, complemented
22#13118298C211yesmaximal, characteristic, complemented
23#13118226C211yesmaximal, characteristic, complemented
24#13118210C211yesmaximal, characteristic
25#13118159C211yesmaximal, characteristic, complemented
26#13117534C211yesmaximal, characteristic, complemented
27#13117501C211yesmaximal, characteristic, complemented
28#13117469C211yesmaximal, characteristic, complemented
29C4×#88207C211yesmaximal, characteristic, complemented
30C2×#11718871C211yesmaximal, characteristic, complemented
31C22×C4×D4×C13C211yesmaximal, characteristic, complemented
32C23×D4×C13C2211yescharacteristic
33C24×C4×C13C2211yescharacteristic
34C24×C4×C13C2211yescharacteristic
35C2×C4×D4×C13—28no—
36C2×C4×D4×C13C2211yescharacteristic
37C2×C4×D4×C13C2211yescharacteristic
38C2×C4×D4×C13C2211yescharacteristic
39C2×C4×D4×C13C2211yescharacteristic
40C2×C4×D4×C13C2211yescharacteristic
41C2×C4×D4×C13C2211yescharacteristic
42C2×C4×D4×C13C2211yescharacteristic
43C2×C4×D4×C13C2211yescharacteristic
44C22×C13×C4⋊C4C2211yescharacteristic
45C22×C13×C22⋊C4C2211yescharacteristic
46C22×C13×C22⋊C4C2211yescharacteristic
47C22×C42×C13C2211yescharacteristic
48C2×#88207C2211yescharacteristic
49C2×#88207C2211yescharacteristic
50C22×C22⋊Dic13C2211yescharacteristic
51C22×C22⋊Dic13C2211yescharacteristic
52C2×#88193C2211yescharacteristic
53C2×#88193C2211yescharacteristic
54C2×#88189C2211yescharacteristic
55C2×#88189C2211yescharacteristic
56C2×#88183C2211yescharacteristic, complemented
57C2×#88183C2211yescharacteristic, complemented
58C2×C4×C22⋊D13C2211yescharacteristic
59C2×C4×C22⋊D13C2211yescharacteristic, complemented
60C2×C4×C22⋊D13C2211yescharacteristic, complemented
61C2×#88178C2211yescharacteristic
62C2×#88178C2211yescharacteristic, complemented
63C2×#88178C2211yescharacteristic, complemented
64C22×#6101C2211yescharacteristic, complemented
65C22×#6101C2211yescharacteristic, complemented
66#11719269—28no—
67C2×#88150C2211yescharacteristic, complemented
68C2×#88143C2211yescharacteristic, complemented
69C2×#88140C2211yescharacteristic, complemented
70C2×#88137C2211yescharacteristic, complemented
71C2×#88133C2211yescharacteristic, complemented
72C2×#88132C2211yescharacteristic, complemented
73C2×#88130C2211yescharacteristic, complemented
74C2×#88124C2211yescharacteristic, complemented
75#11718908C2211yescharacteristic
76#11718908C2211yescharacteristic
77#11718908C2211yescharacteristic
78#11718908C2211yescharacteristic
79#11718884C2211yescharacteristic
80#11718884C2211yescharacteristic
81#11718883C2211yescharacteristic
82#11718883C2211yescharacteristic
83#11718883C2211yescharacteristic
84#11718883C2211yescharacteristic
85#11718883C2211yescharacteristic
86#11718883C2211yescharacteristic
87#11718881C2211yescharacteristic
88#11718881C2211yescharacteristic
89#11718881C2211yescharacteristic
90#11718881C2211yescharacteristic
91#11718874C2211yescharacteristic
92#11718874C2211yescharacteristic
93#11718874C2211yescharacteristic
94#11718874C2211yescharacteristic
95#11718874C2211yescharacteristic, complemented
96#11718874C2211yescharacteristic, complemented
97#11718874C2211yescharacteristic, complemented
98#11718874C2211yescharacteristic, complemented
99#11718873C2211yescharacteristic
100#11718873C2211yescharacteristic
101#11718873C2211yescharacteristic
102#11718873C2211yescharacteristic, complemented
103#11718873C2211yescharacteristic, complemented
104#11718872C2211yescharacteristic, complemented
105#11718872C2211yescharacteristic, complemented
106#11718871C2211yescharacteristic
107#11718871C2211yescharacteristic
108#11718871C2211yescharacteristic
109#11718871C2211yescharacteristic
110#11718871C2211yescharacteristic
111#11718871C2211yescharacteristic
112#11718871C2211yescharacteristic
113#11718871C2211yescharacteristic
114#11718871C2211yescharacteristic
115#11718871C2211yescharacteristic
116#11718871C2211yescharacteristic, complemented
117#11718871C2211yescharacteristic, complemented
118#11718871C2211yescharacteristic, complemented
119#11718871C2211yescharacteristic, complemented
120#11718871C2211yescharacteristic, complemented
121#11718871C2211yescharacteristic, complemented
122#11718871C2211yescharacteristic, complemented
123#11718871C2211yescharacteristic, complemented
124#11718871C2211yescharacteristic, complemented
125#11718871C2211yescharacteristic, complemented
126#11718871C2211yescharacteristic, complemented
127#11718871C2211yescharacteristic, complemented
128C4×C22⋊Dic13C2211yescharacteristic
129C4×C22⋊Dic13C2211yescharacteristic, complemented
130C4×C22⋊Dic13C2211yescharacteristic, complemented
131C2×#88071C2211yescharacteristic, complemented
132C2×#88071C2211yescharacteristic, complemented
133#11718655C2211yescharacteristic, complemented
134#11718653C2211yescharacteristic, complemented
135#11718650C2211yescharacteristic, complemented
136#11718645C2211yescharacteristic, complemented
137#11718644C2211yescharacteristic, complemented
138#11718643C2211yescharacteristic, complemented
139#11718642C2211yescharacteristic, complemented
140#11718642C2211yescharacteristic, complemented
141#11718641C2211yescharacteristic, complemented
142#11718641C2211yescharacteristic, complemented
143#11718640C2211yescharacteristic, complemented
144#11718639C2211yescharacteristic, complemented
145#11718633C2211yescharacteristic, complemented
146#11718633C2211yescharacteristic, complemented
147#11718622C2211yescharacteristic, complemented
148#11718622C2211yescharacteristic, complemented
149#11718622C2211yescharacteristic, complemented
150#11718620C2211yescharacteristic, complemented
151#11718619C2211yescharacteristic, complemented
152#11718617C2211yescharacteristic, complemented
153#11718614C2211yescharacteristic, complemented
154#11718614C2211yescharacteristic, complemented
155#11718614C2211yescharacteristic, complemented
156#11718613C2211yescharacteristic, complemented
157#11718613C2211yescharacteristic, complemented
158#11718613C2211yescharacteristic, complemented
159#11718612C2211yescharacteristic, complemented
160#11718612C2211yescharacteristic, complemented
161#11718611C2211yescharacteristic, complemented
162#11718611C2211yescharacteristic, complemented
163#11718610C2211yescharacteristic, complemented
164#11718610C2211yescharacteristic, complemented
165#11718609C2211yescharacteristic, complemented
166#11718609C2211yescharacteristic, complemented
167#11718609C2211yescharacteristic, complemented
168#11718608C2211yescharacteristic, complemented
169#11718607C2211yescharacteristic, complemented
170#11718606C2211yescharacteristic, complemented
171#11718606C2211yescharacteristic, complemented
172#11718605C2211yescharacteristic, complemented
173#11718604C2211yescharacteristic, complemented
174#11718603C2211yescharacteristic, complemented
175#11718601C2211yescharacteristic, complemented
176#11718601C2211yescharacteristic, complemented
177#11718601C2211yescharacteristic, complemented
178#11718598C2211yescharacteristic, complemented
179#11718597C2211yescharacteristic, complemented
180#11718594C2211yescharacteristic, complemented
181#11718594C2211yescharacteristic, complemented
182#11718594C2211yescharacteristic, complemented
183#11718594C2211yescharacteristic, complemented
184#11718594C2211yescharacteristic, complemented
185#11718594C2211yescharacteristic, complemented
186#11718594C2211yescharacteristic, complemented
187#11718589C2211yescharacteristic, complemented
188#11718589C2211yescharacteristic, complemented
189C25×C13C2311yescharacteristic
190C25×C13C2311yescharacteristic
191C22×D4×C13—24no—
192C22×D4×C13—24no—
193C22×D4×C13—24no—
194C22×D4×C13C2311yescharacteristic
195C22×D4×C13C2311yescharacteristic
196C22×D4×C13C2311yescharacteristic
197C22×D4×C13C2311yescharacteristic
198C23×C4×C13—24no—
199C23×C4×C13—24no—
200C23×C4×C13—42no—
201C23×C4×C13—42no—
202C23×C4×C13—42no—
203C23×C4×C13—42no—
204C23×C4×C13C2311yescharacteristic
205C23×C4×C13C2311yescharacteristic
206C23×C4×C13C2311yescharacteristic
207C23×C4×C13C2311yescharacteristic
208C23×C4×C13C2311yescharacteristic
209C23×C4×C13C2311yescharacteristic
210C23×C4×C13C2311yescharacteristic
211C23×C4×C13C2311yescharacteristic
212C23×C4×C13C2311yescharacteristic
213C23×C4×C13C2311yescharacteristic
214C23×C4×C13C2311yescharacteristic
215C23×C4×C13C2311yescharacteristic
216C23×C4×C13C2311yescharacteristic
217C22×C22⋊D13C2311yescharacteristic
218C22×C22⋊D13C2311yescharacteristic
219C22×C22⋊D13C2311yescharacteristic
220C22×C22⋊D13C2311yescharacteristic
221C22×C22⋊D13C2311yescharacteristic
222C23×Dic13C2311yescharacteristic
223C23×Dic13C2311yescharacteristic
224C23×Dic13C2311yescharacteristic
225C23×Dic13C2311yescharacteristic
226C22×C4×D13C2311yescharacteristic
227C22×Dic26C2311yescharacteristic
228C4×D4×C13—24no—
229C4×D4×C13—24no—
230C4×D4×C13—24no—
231C4×D4×C13—24no—
232C4×D4×C13—24no—
233C4×D4×C13—24no—
234C4×D4×C13—24no—
235C4×D4×C13D418yescomplemented
236C2×C13×C4⋊C4—24no—
237C2×C13×C4⋊C4C2311yescharacteristic
238C2×C13×C4⋊C4C2311yescharacteristic
239C2×C13×C4⋊C4C2311yescharacteristic
240C2×C13×C4⋊C4C2311yescharacteristic
241C2×C13×C22⋊C4—24no—
242C2×C13×C22⋊C4—24no—
243C2×C13×C22⋊C4C2311yescharacteristic
244C2×C13×C22⋊C4C2311yescharacteristic
245C2×C13×C22⋊C4C2311yescharacteristic
246C2×C13×C22⋊C4C2311yescharacteristic
247C2×C13×C22⋊C4C2311yescharacteristic
248C2×C13×C22⋊C4C2311yescharacteristic
249C2×C13×C22⋊C4C2311yescharacteristic
250C2×C13×C22⋊C4C2311yescharacteristic
251C2×C42×C13—24no—
252C2×C42×C13C2311yescharacteristic
253C2×C42×C13C2311yescharacteristic
254C2×C42×C13C2311yescharacteristic
255C2×C42×C13C2311yescharacteristic
256#88207—24no—
257#88207—42no—
258C2×C22⋊Dic13—24no—
259C2×C22⋊Dic13—42no—
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
263C2×C22⋊Dic13C2311yescharacteristic
264C2×C22⋊Dic13C2311yescharacteristic
265C2×C22⋊Dic13C2311yescharacteristic
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
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
291#88193—24no—
292#88193—24no—
293#88189—24no—
294#88189—24no—
295#88183—24no—
296#88183—42no—
297C4×C22⋊D13—24no—
298C4×C22⋊D13—42no—
299C4×C22⋊D13—42no—
300C2×#6103C2311yescharacteristic
301C2×#6103C2311yescharacteristic
302C2×#6103C2311yescharacteristic
303C2×#6103C2311yescharacteristic
304C2×#6103C2311yescharacteristic
305C2×#6103C2311yescharacteristic
306C2×#6103C2311yescharacteristic
307C2×#6103C2311yescharacteristic
308C2×#6103C2311yescharacteristic
309C2×C4⋊Dic13C2311yescharacteristic
310C2×C4⋊Dic13C2311yescharacteristic
311C2×C4⋊Dic13C2311yescharacteristic
312C2×C4⋊Dic13C2311yescharacteristic
313C2×C4⋊Dic13C2311yescharacteristic
314C2×C4⋊Dic13C2311yescharacteristic
315C2×C4⋊Dic13C2311yescharacteristic
316#88178—24no—
317#88178—42no—
318#88178—42no—
319C2×#6101—24no—
320C2×#6101—42no—
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
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×#6101C2311yescharacteristic
337C2×#6101C2311yescharacteristic
338C2×#6101C2311yescharacteristic
339C2×#6101C2311yescharacteristic
340C2×#6101C2311yescharacteristic
341C2×#6101C2311yescharacteristic
342C2×#6101C2311yescharacteristic
343C2×#6101C2311yescharacteristic
344C2×C4×Dic13C2311yescharacteristic
345C2×C4×Dic13C2311yescharacteristic
346C2×C4×Dic13C2311yescharacteristic
347#88150—24no—
348#88143—24no—
349#88140—24no—
350#88137—24no—
351#88133—24no—
352#88132—24no—
353#88130—24no—
354#88124—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#34991—131nomaximal, Sylow
392C24×C13—22no—
393C24×C13—22no—
394C24×C13—22no—
395C24×C13—22no—
396C24×C13—22no—
397C24×C13—22no—
398C24×C13—22no—
399C24×C13—22no—
400C24×C13—22no—
401C24×C13—41no—
402C24×C13—41no—
403C24×C13—41no—
404C24×C13—41no—
405C24×C13#4114yes—
406C24×C13C2411yescharacteristic
407C24×C13C2411yescharacteristic
408C24×C13C2411yescharacteristic
409C24×C13C2411yescharacteristic
410C24×C13C2411yescharacteristic
411C23×D13C2411yescharacteristic
412C2×D4×C13—232no—
413C2×D4×C13—22no—
414C2×D4×C13—22no—
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—22no—
423C2×D4×C13C2×D414yes—
424C2×D4×C13#4114yes—
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—22no—
437C22×C4×C13—22no—
438C22×C4×C13—22no—
439C22×C4×C13—22no—
440C22×C4×C13—22no—
441C22×C4×C13—22no—
442C22×C4×C13—22no—
443C22×C4×C13—22no—
444C22×C4×C13—22no—
445C22×C4×C13—22no—
446C22×C4×C13—22no—
447C22×C4×C13—41no—
448C22×C4×C13—41no—
449C22×C4×C13—41no—
450C22×C4×C13—41no—
451C22×C4×C13—41no—
452C22×C4×C13—41no—
453C22×C4×C13—41no—
454C22×C4×C13—41no—
455C22×C4×C13—41no—
456C22×C4×C13—41no—
457C22×C4×C13—41no—
458C22×C4×C13—41no—
459C22×C4×C13—41no—
460C22×C4×C13—41no—
461C22×C4×C13—41no—
462C22×C4×C13—416no—
463C22×C4×C13—416no—
464C22×C4×C13C2×D414yes—
465C22×C4×C13C2×D414yes—
466C22×C4×C13C2411yescharacteristic
467C22×C4×C13C2411yescharacteristic
468C22×C4×C13C2411yescharacteristic
469C22×C4×C13C2411yescharacteristic
470C22×C4×C13C2411yescharacteristic
471C22×C4×C13C2411yescharacteristic
472C22×C4×C13C2411yescharacteristic
473C22×C4×C13C2411yescharacteristic
474C22×C4×C13C2411yescharacteristic
475C22×C4×C13C2411yescharacteristic
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—41no—
486C2×C22⋊D13—41no—
487C2×C22⋊D13—41no—
488C2×C22⋊D13—41no—
489C2×C22⋊D13—41no—
490C2×C22⋊D13—41no—
491C22×Dic13—22no—
492C22×Dic13—22no—
493C22×Dic13—22no—
494C22×Dic13—22no—
495C22×Dic13—22no—
496C22×Dic13—22no—
497C22×Dic13—41no—
498C22×Dic13—41no—
499C22×Dic13—41no—
500C22×Dic13—41no—
501C22×Dic13—41no—
502C22×Dic13—41no—
503C22×Dic13C2411yescharacteristic
504C22×Dic13C2411yescharacteristic
505C22×Dic13C2411yescharacteristic
506C22×Dic13C2411yescharacteristic
507C22×Dic13C2411yescharacteristic
508C22×Dic13C2411yescharacteristic
509C22×Dic13C2411yescharacteristic
510C22×Dic13C2411yescharacteristic
511C22×Dic13C2411yescharacteristic
512C22×Dic13C2411yescharacteristic
513C22×Dic13C2411yescharacteristic
514C22×Dic13C2411yescharacteristic
515C22×Dic13C2411yescharacteristic
516C22×Dic13C2411yescharacteristic
517C22×Dic13C2411yescharacteristic
518C2×C4×D13—22no—
519C2×C4×D13—41no—
520C2×C4×D13—41no—
521C2×Dic26—22no—
522C2×Dic26—41no—
523C2×Dic26—41no—
524C13×C4⋊C4—22no—
525C13×C4⋊C4—22no—
526C13×C4⋊C4—22no—
527C13×C4⋊C4C2×D414yes—
528C13×C22⋊C4—22no—
529C13×C22⋊C4—22no—
530C13×C22⋊C4—22no—
531C13×C22⋊C4—22no—
532C13×C22⋊C4—22no—
533C13×C22⋊C4—22no—
534C13×C22⋊C4C2×D414yes—
535C13×C22⋊C4C2×D414yes—
536C42×C13—22no—
537C42×C13—22no—
538C42×C13—22no—
539C42×C13C2×D414yes—
540C22⋊Dic13—22no—
541C22⋊Dic13—22no—
542C22⋊Dic13—22no—
543C22⋊Dic13—22no—
544C22⋊Dic13—22no—
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—22no—
554C22⋊Dic13—22no—
555C22⋊Dic13—22no—
556C22⋊Dic13—22no—
557C22⋊Dic13—22no—
558C22⋊Dic13—22no—
559C22⋊Dic13—41no—
560C22⋊Dic13—41no—
561C22⋊Dic13—41no—
562C22⋊Dic13—41no—
563C22⋊Dic13—41no—
564C22⋊Dic13—41no—
565C22⋊Dic13—41no—
566C22⋊Dic13—41no—
567C22⋊Dic13—41no—
568C22⋊Dic13—41no—
569C22⋊Dic13—41no—
570C22⋊Dic13—41no—
571#6103—22no—
572#6103—22no—
573#6103—22no—
574#6103—22no—
575#6103—22no—
576#6103—22no—
577#6103—41no—
578#6103—41no—
579#6103—41no—
580C4⋊Dic13—22no—
581C4⋊Dic13—22no—
582C4⋊Dic13—22no—
583C4⋊Dic13—41no—
584C4⋊Dic13—41no—
585C4⋊Dic13—41no—
586C4⋊Dic13—41no—
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—22no—
596#6101—22no—
597#6101—22no—
598#6101—22no—
599#6101—22no—
600#6101—22no—
601#6101—22no—
602#6101—22no—
603#6101—41no—
604#6101—41no—
605#6101—41no—
606#6101—41no—
607#6101—41no—
608#6101—41no—
609#6101—41no—
610C4×Dic13—22no—
611C4×Dic13—41no—
612C4×Dic13—41no—
613C2×#539—131no—
614C22×C4×D4D1311yescharacteristic, complemented
615#2852—131no—
616#2851—131no—
617#2849—131no—
618#2848—131no—
619#2638—131no—
620#2636—131no—
621#2633—131no—
622#2630—131no—
623#2480—131no—
624#2473—131no—
625#2466—131no—
626#2463—131no—
627#2460—131no—
628#2455—131no—
629#2449—131no—
630#2449—131no—
631#2443—131no—
632#2437—131no—
633#2425—131no—
634#2419—131no—
635#2418—131no—
636#2412—131no—
637#2410—131no—
638#2405—131no—
639#2325—131no—
640#2322—131no—
641#2318—131no—
642C4×#120—131no—
643C2×#385—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—28no—
653C23×C13—28no—
654C23×C13—28no—
655C23×C13—21no—
656C23×C13—21no—
657C23×C13—21no—
658C23×C13—21no—
659C23×C13—21no—
660C23×C13—21no—
661C23×C13—21no—
662C23×C13—21no—
663C23×C13—21no—
664C23×C13—21no—
665C23×C13—21no—
666C23×C13—21no—
667C23×C13—21no—
668C23×C13—21no—
669C23×C13—21no—
670C23×C13—21no—
671C23×C13—21no—
672C23×C13—21no—
673C23×C13—44no—
674C23×C13—44no—
675C23×C13—44no—
676C23×C13—44no—
677C23×C13—44no—
678C23×C13—44no—
679C23×C13—44no—
680C23×C13—44no—
681C23×C13—44no—
682C23×C13—44no—
683C23×C13—44no—
684C23×C13C22×D412yes—
685C23×C13C22×D412yes—
686C23×C13C2×#4112yes—
687C23×C13C2×#4112yes—
688C23×C13C2×#4112yes—
689C23×C13C2×#4112yes—
690C23×C13C2×#4112yes—
691C23×C13H(5,𝔽2)12yes—
692C23×C132−1+412yes—
693C23×C13C2511yescharacteristic
694C22×D13—21no—
695C22×D13—21no—
696C22×D13—21no—
697C22×D13—21no—
698C22×D13—21no—
699C22×D13—21no—
700C22×D13—21no—
701D4×C13—28no—
702D4×C13—28no—
703D4×C13—28no—
704D4×C13—28no—
705C2×C4×C13—28no—
706C2×C4×C13—28no—
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—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—21no—
728C2×C4×C13—21no—
729C2×C4×C13—21no—
730C2×C4×C13—44no—
731C2×C4×C13—44no—
732C2×C4×C13—44no—
733C2×C4×C13—44no—
734C2×C4×C13—44no—
735C2×C4×C13—44no—
736C2×C4×C13—44no—
737C2×C4×C13—44no—
738C2×C4×C13—44no—
739C2×C4×C13—44no—
740C2×C4×C13—44no—
741C2×C4×C13C22×D412yes—
742C2×C4×C13C22×D412yes—
743C2×C4×C13C22×D412yes—
744C2×C4×C13C22×D412yes—
745C2×C4×C13C22×D412yes—
746C2×C4×C13C2×#4112yes—
747C2×C4×C13H(5,𝔽2)12yes—
748C22⋊D13—44no—
749C22⋊D13—44no—
750C22⋊D13—44no—
751C22⋊D13—82no—
752C22⋊D13—82no—
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—21no—
788C2×Dic13—21no—
789C2×Dic13—21no—
790C2×Dic13—21no—
791C2×Dic13—21no—
792C2×Dic13—21no—
793C2×Dic13—21no—
794C2×Dic13—21no—
795C2×Dic13—21no—
796C2×Dic13—21no—
797C2×Dic13—21no—
798C2×Dic13—44no—
799C2×Dic13—44no—
800C2×Dic13—82no—
801C2×Dic13—82no—
802C4×D13—82no—
803Dic26—82no—
804C23×D4C2×D1311yescharacteristic
805C24×C4C2×D1311yescharacteristic
806C24×C4C2×D1311yescharacteristic
807#539—268no—
808C2×#126—131no—
809C2×#126—131no—
810C2×#125—131no—
811C2×#125—131no—
812C2×#123—131no—
813C2×#123—131no—
814C2×#123—131no—
815C2×#123—131no—
816C2×#123—131no—
817C2×#123—131no—
818C2×C22⋊Q8—131no—
819C2×C22⋊Q8—131no—
820C2×C22⋊Q8—131no—
821C2×C22⋊Q8—131no—
822C2×C22⋊Q8—131no—
823C2×#121—131no—
824C2×#121—131no—
825C2×#120—131no—
826C2×#120—131no—
827C2×C4×D4—28no—
828C2×C4×D4—131no—
829C2×C4×D4—131no—
830C2×C4×D4—131no—
831C2×C4×D4C2×D1311yescharacteristic
832C2×C4×D4C2×D1311yescharacteristic
833C2×C4×D4C2×D1311yescharacteristic
834C2×C4×D4C2×D1311yescharacteristic
835C2×C4×D4C2×D1311yescharacteristic
836C2×C4×D4C2×D1311yescharacteristic
837C2×C4×D4C2×D1311yescharacteristic
838C2×C4×D4C2×D1311yescharacteristic
839C22×C4⋊C4—131no—
840C22×C4⋊C4—131no—
841C22×C4⋊C4C2×D1311yescharacteristic
842C22×C22⋊C4—131no—
843C22×C22⋊C4—131no—
844C22×C22⋊C4C2×D1311yescharacteristic
845C22×C22⋊C4C2×D1311yescharacteristic
846C22×C42C2×D1311yescharacteristic
847#400—131no—
848#399—131no—
849#399—131no—
850#399—131no—
851#398—131no—
852#398—131no—
853#398—131no—
854#398—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#395—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#394—131no—
876#393—131no—
877#392—131no—
878#392—131no—
879#389—131no—
880#389—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#387—131no—
900#387—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#386—131no—
913#386—131no—
914#386—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#385—131no—
926#385—131no—
927#385—131no—
928#385—131no—
929#385—131no—
930#385—131no—
931#385—131no—
932#385—131no—
933#385—131no—
934#385—131no—
935#385—131no—
936#385—131no—
937#385—131no—
938#385—131no—
939#385—131no—
940#385—131no—
941#383—131no—
942#382—131no—
943#381—131no—
944#381—131no—
945#381—131no—
946#380—131no—
947#380—131no—
948#380—131no—
949#380—131no—
950#380—131no—
951#380—131no—
952#379—131no—
953#379—131no—
954#379—131no—
955#379—131no—
956C4×C22⋊C4—131no—
957C4×C22⋊C4—131no—
958C4×C22⋊C4—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—22no—
971C22×C13—22no—
972C22×C13—22no—
973C22×C13—22no—
974C22×C13—22no—
975C22×C13—22no—
976C22×C13—22no—
977C22×C13—22no—
978C22×C13—22no—
979C22×C13—22no—
980C22×C13—22no—
981C22×C13—22no—
982C22×C13—416no—
983C22×C13—416no—
984C22×C13—41no—
985C22×C13—41no—
986C22×C13—41no—
987C22×C13—41no—
988C22×C13—41no—
989C22×C13—41no—
990C22×C13—41no—
991C22×C13—41no—
992C22×C13—41no—
993C22×C13—41no—
994C22×C13—41no—
995C22×C13—41no—
996C22×C13#52514yes—
997C22×C13#53914yescomplemented
998C22×C13C23×D411yescharacteristic
999C22×C13C22×#4111yescharacteristic
1000C22×C13C22×#4111yescharacteristic
1001C22×C13C2×H(5,𝔽2)11yescharacteristic
1002C22×C13C2×H(5,𝔽2)11yescharacteristic
1003C22×C13C2×2−1+411yescharacteristic
1004C22×C13#58511yescharacteristic
1005C2×D13—41no—
1006C2×D13—41no—
1007C2×D13—41no—
1008C2×D13—41no—
1009C2×D13—41no—
1010C2×D13—41no—
1011C2×D13—41no—
1012C4×C13—22no—
1013C4×C13—22no—
1014C4×C13—22no—
1015C4×C13—22no—
1016C4×C13—22no—
1017C4×C13—22no—
1018C4×C13—22no—
1019C4×C13—41no—
1020C4×C13—41no—
1021C4×C13—41no—
1022Dic13—41no—
1023Dic13—41no—
1024Dic13—41no—
1025Dic13—41no—
1026Dic13—41no—
1027Dic13—41no—
1028Dic13—41no—
1029Dic13—41no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13—41no—
1034Dic13—41no—
1035Dic13—41no—
1036Dic13—41no—
1037C25C22×D1311yescharacteristic
1038C25C22×D1311yescharacteristic
1039C22×Q8—131no—
1040C22×D4—24no—
1041C22×D4—24no—
1042C22×D4—24no—
1043C22×D4—131no—
1044C22×D4—131no—
1045C22×D4—131no—
1046C22×D4—131no—
1047C22×D4—131no—
1048C22×D4C22×D1311yescharacteristic
1049C22×D4C22×D1311yescharacteristic
1050C22×D4C22×D1311yescharacteristic
1051C22×D4C22×D1311yescharacteristic
1052C23×C4—24no—
1053C23×C4—24no—
1054C23×C4—42no—
1055C23×C4—42no—
1056C23×C4—42no—
1057C23×C4—42no—
1058C23×C4—131no—
1059C23×C4—131no—
1060C23×C4—131no—
1061C23×C4—131no—
1062C23×C4—131no—
1063C23×C4C22×D1311yescharacteristic
1064C23×C4C22×D1311yescharacteristic
1065C23×C4C22×D1311yescharacteristic
1066C23×C4C22×D1311yescharacteristic
1067C23×C4C22×D1311yescharacteristic
1068C23×C4C22×D1311yescharacteristic
1069C23×C4C22×D1311yescharacteristic
1070C23×C4C22×D1311yescharacteristic
1071C23×C4C22×D1311yescharacteristic
1072C23×C4C22×D1311yescharacteristic
1073C23×C4C22×D1311yescharacteristic
1074C23×C4C22×D1311yescharacteristic
1075C23×C4C22×D1311yescharacteristic
1076#126—264no—
1077#126—264no—
1078#125—264no—
1079#125—264no—
1080#123—264no—
1081#123—264no—
1082#123—264no—
1083#123—264no—
1084#123—264no—
1085#123—522no—
1086C22⋊Q8—264no—
1087C22⋊Q8—264no—
1088C22⋊Q8—264no—
1089C22⋊Q8—522no—
1090C22⋊Q8—522no—
1091#121—264no—
1092#121—264no—
1093#120—264no—
1094#120—522no—
1095C4×D4—24no—
1096C4×D4—24no—
1097C4×D4—24no—
1098C4×D4—24no—
1099C4×D4—24no—
1100C4×D4—24no—
1101C4×D4—24no—
1102C4×D4—264no—
1103C4×D4—522no—
1104C4×D4—522no—
1105C4×D4C22⋊D1318yescomplemented
1106C2×C4⋊C4—24no—
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—131no—
1123C2×C4⋊C4—131no—
1124C2×C4⋊C4—131no—
1125C2×C4⋊C4—131no—
1126C2×C4⋊C4—131no—
1127C2×C4⋊C4—131no—
1128C2×C4⋊C4—131no—
1129C2×C4⋊C4—131no—
1130C2×C4⋊C4—131no—
1131C2×C4⋊C4—131no—
1132C2×C4⋊C4—131no—
1133C2×C4⋊C4—131no—
1134C2×C4⋊C4—131no—
1135C2×C4⋊C4—131no—
1136C2×C4⋊C4—131no—
1137C2×C4⋊C4—264no—
1138C2×C4⋊C4—522no—
1139C2×C4⋊C4C22×D1311yescharacteristic
1140C2×C4⋊C4C22×D1311yescharacteristic
1141C2×C4⋊C4C22×D1311yescharacteristic
1142C2×C4⋊C4C22×D1311yescharacteristic
1143C2×C22⋊C4—24no—
1144C2×C22⋊C4—24no—
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—131no—
1172C2×C22⋊C4—131no—
1173C2×C22⋊C4—131no—
1174C2×C22⋊C4—131no—
1175C2×C22⋊C4—131no—
1176C2×C22⋊C4—131no—
1177C2×C22⋊C4—131no—
1178C2×C22⋊C4—131no—
1179C2×C22⋊C4—131no—
1180C2×C22⋊C4—131no—
1181C2×C22⋊C4—131no—
1182C2×C22⋊C4—131no—
1183C2×C22⋊C4—131no—
1184C2×C22⋊C4—131no—
1185C2×C22⋊C4—264no—
1186C2×C22⋊C4—522no—
1187C2×C22⋊C4C22×D1311yescharacteristic
1188C2×C22⋊C4C22×D1311yescharacteristic
1189C2×C22⋊C4C22×D1311yescharacteristic
1190C2×C22⋊C4C22×D1311yescharacteristic
1191C2×C22⋊C4C22×D1311yescharacteristic
1192C2×C22⋊C4C22×D1311yescharacteristic
1193C2×C22⋊C4C22×D1311yescharacteristic
1194C2×C22⋊C4C22×D1311yescharacteristic
1195C2×C42—24no—
1196C2×C42—131no—
1197C2×C42—131no—
1198C2×C42—131no—
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—24no—
1241C2×C13—42no—
1242C2×C13—42no—
1243C2×C13—42no—
1244C2×C13C2×#52511yescharacteristic
1245C2×C13C2×#53911yescharacteristic
1246C2×C13#345911yescharacteristic
1247C2×C13#348411yescharacteristic
1248C2×C13#348911yescharacteristic
1249C2×C13#351311yescharacteristic
1250C2×C13#352011yescharacteristic
1251D13—81no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—41no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—131no—
1266C24#612714yes—
1267C24C23×D1311yescharacteristic
1268C24C23×D1311yescharacteristic
1269C24C23×D1311yescharacteristic
1270C24C23×D1311yescharacteristic
1271C24C23×D1311yescharacteristic
1272C2×Q8—262no—
1273C2×Q8—521no—
1274C2×Q8—521no—
1275C2×D4—232no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—262no—
1287C2×D4—262no—
1288C2×D4—262no—
1289C2×D4—262no—
1290C2×D4—262no—
1291C2×D4—262no—
1292C2×D4—262no—
1293C2×D4—262no—
1294C2×D4—262no—
1295C2×D4—521no—
1296C2×D4—521no—
1297C2×D4—521no—
1298C2×D4—521no—
1299C2×D4—521no—
1300C2×D4—521no—
1301C2×D4#612714yes—
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—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—416no—
1341C22×C4—416no—
1342C22×C4—131no—
1343C22×C4—131no—
1344C22×C4—131no—
1345C22×C4—131no—
1346C22×C4—131no—
1347C22×C4—131no—
1348C22×C4—131no—
1349C22×C4—131no—
1350C22×C4—131no—
1351C22×C4—131no—
1352C22×C4—131no—
1353C22×C4—131no—
1354C22×C4—131no—
1355C22×C4—131no—
1356C22×C4—131no—
1357C22×C4—262no—
1358C22×C4—262no—
1359C22×C4—262no—
1360C22×C4—262no—
1361C22×C4—262no—
1362C22×C4—262no—
1363C22×C4—262no—
1364C22×C4—521no—
1365C22×C4—521no—
1366C22×C4—521no—
1367C22×C4—521no—
1368C22×C4—521no—
1369C22×C4—521no—
1370C22×C4—521no—
1371C22×C4—521no—
1372C22×C4C2×C22⋊D1314yes—
1373C22×C4C2×C22⋊D1314yes—
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—262no—
1388C4⋊C4—262no—
1389C4⋊C4—262no—
1390C4⋊C4—262no—
1391C4⋊C4—262no—
1392C4⋊C4—262no—
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—262no—
1404C4⋊C4—262no—
1405C4⋊C4—262no—
1406C4⋊C4—521no—
1407C4⋊C4—521no—
1408C4⋊C4—521no—
1409C4⋊C4—521no—
1410C4⋊C4—521no—
1411C4⋊C4—521no—
1412C4⋊C4—521no—
1413C4⋊C4—521no—
1414C4⋊C4—521no—
1415C4⋊C4—521no—
1416C4⋊C4—521no—
1417C4⋊C4C2×C22⋊D1314yes—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
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—262no—
1446C22⋊C4—262no—
1447C22⋊C4—262no—
1448C22⋊C4—262no—
1449C22⋊C4—521no—
1450C22⋊C4—521no—
1451C22⋊C4—521no—
1452C22⋊C4—521no—
1453C22⋊C4—521no—
1454C22⋊C4—521no—
1455C22⋊C4—521no—
1456C22⋊C4—521no—
1457C22⋊C4—521no—
1458C22⋊C4—521no—
1459C22⋊C4—521no—
1460C22⋊C4—521no—
1461C22⋊C4—521no—
1462C22⋊C4—521no—
1463C22⋊C4—521no—
1464C22⋊C4C2×C22⋊D1314yes—
1465C22⋊C4C2×C22⋊D1314yes—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—262no—
1470C42—521no—
1471C42—521no—
1472C42C2×C22⋊D1314yes—
1473C13#3499111yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—28no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—261no—
1515C23—261no—
1516C23—261no—
1517C23—261no—
1518C23—261no—
1519C23—261no—
1520C23—261no—
1521C23C2×#612712yes—
1522C23C2×#612712yes—
1523C23C2×#612712yes—
1524C23C2×#612712yes—
1525C23C2×#612712yes—
1526C23#8825112yes—
1527C23#8825712yes—
1528C23C22×C22⋊D1312yes—
1529C23C22×C22⋊D1312yes—
1530C23C24×D1311yescharacteristic
1531Q8—1042no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—524no—
1537D4—524no—
1538D4—524no—
1539D4—1042no—
1540D4—1042no—
1541C2×C4—28no—
1542C2×C4—28no—
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—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—261no—
1578C2×C4—261no—
1579C2×C4—261no—
1580C2×C4—261no—
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—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—261no—
1616C2×C4—261no—
1617C2×C4—261no—
1618C2×C4—261no—
1619C2×C4—261no—
1620C2×C4—261no—
1621C2×C4—261no—
1622C2×C4—524no—
1623C2×C4—524no—
1624C2×C4—1042no—
1625C2×C4—1042no—
1626C2×C4—1042no—
1627C2×C4C2×#612712yes—
1628C2×C4#8825112yes—
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—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—521no—
1670C22—521no—
1671C22—521no—
1672C22—521no—
1673C22—521no—
1674C22—521no—
1675C22—521no—
1676C22#1171926914yescomplemented
1677C22#1171949614yes—
1678C22C22×#612711yescharacteristic
1679C22C22×#612711yescharacteristic
1680C22C2×#8825111yescharacteristic
1681C22C2×#8825111yescharacteristic
1682C22C2×#8825711yescharacteristic
1683C22#1171964811yescharacteristic
1684C22C23×C22⋊D1311yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—22no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—521no—
1696C4—521no—
1697C4—521no—
1698C4—521no—
1699C4—521no—
1700C4—521no—
1701C4—521no—
1702C4—521no—
1703C4—521no—
1704C4—521no—
1705C4—521no—
1706C4—521no—
1707C4—521no—
1708C4—521no—
1709C4—521no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—1041no—
1716C2C2×#1171949611yescharacteristic
1717C2C2×#1171926911yescharacteristic
1718C2#1312824511yescharacteristic
1719C2#1312847111yescharacteristic
1720C2#1312851611yescharacteristic
1721C2#1312877611yescharacteristic
1722C2#1312888511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC22×C4×D4×C13C2
prime radical#13118210C2
hypercenterC22×C4×D4D13
hypocenterC13#34991
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#11719269C2semidirect
2. #13123151C2semidirect
3. #13123146C2semidirect
4. #13123128C2semidirect
5. #13123123C2semidirect
6. #13120753C2semidirect
7. #13120731C2semidirect
8. #13120704C2semidirect
9. #13120673C2semidirect
10. #13119076C2semidirect
11. #13118971C2semidirect
12. #13118866C2semidirect
13. #13118827C2semidirect
14. #13118782C2semidirect
15. #13118713C2semidirect
16. #13118645C2semidirect
17. #13118639C2semidirect
18. #13118565C2semidirect
19. #13118497C2semidirect
20. #13118381C2semidirect
21. #13118307C2semidirect
22. #13118298C2semidirect
23. #13118226C2semidirect
25. #13118159C2semidirect
26. #13117534C2semidirect
27. #13117501C2semidirect
28. #13117469C2semidirect
29. C4×#88207C2semidirect
30. C2×#11718871C2semidirect
31. C22×C4×D4×C13C2semidirect
56. C2×#88183C22semidirect
57. C2×#88183C22semidirect
59. C2×C4×C22⋊D13C22semidirect
60. C2×C4×C22⋊D13C22semidirect
62. C2×#88178C22semidirect
63. C2×#88178C22semidirect
64. C22×#6101C22semidirect
65. C22×#6101C22semidirect
67. C2×#88150C22semidirect
68. C2×#88143C22semidirect
69. C2×#88140C22semidirect
70. C2×#88137C22semidirect
71. C2×#88133C22semidirect
72. C2×#88132C22semidirect
73. C2×#88130C22semidirect
74. C2×#88124C22semidirect
95. #11718874C22semidirect
96. #11718874C22semidirect
97. #11718874C22semidirect
98. #11718874C22semidirect
102. #11718873C22semidirect
103. #11718873C22semidirect
104. #11718872C22semidirect
105. #11718872C22semidirect
116. #11718871C22semidirect
117. #11718871C22semidirect
118. #11718871C22semidirect
119. #11718871C22semidirect
120. #11718871C22semidirect
121. #11718871C22semidirect
122. #11718871C22semidirect
123. #11718871C22semidirect
124. #11718871C22semidirect
125. #11718871C22semidirect
126. #11718871C22semidirect
127. #11718871C22semidirect
129. C4×C22⋊Dic13C22semidirect
130. C4×C22⋊Dic13C22semidirect
131. C2×#88071C22semidirect
132. C2×#88071C22semidirect
133. #11718655C22semidirect
134. #11718653C22semidirect
135. #11718650C22semidirect
136. #11718645C22semidirect
137. #11718644C22semidirect
138. #11718643C22semidirect
139. #11718642C22semidirect
140. #11718642C22semidirect
141. #11718641C22semidirect
142. #11718641C22semidirect
143. #11718640C22semidirect
144. #11718639C22semidirect
145. #11718633C22semidirect
146. #11718633C22semidirect
147. #11718622C22semidirect
148. #11718622C22semidirect
149. #11718622C22semidirect
150. #11718620C22semidirect
151. #11718619C22semidirect
152. #11718617C22semidirect
153. #11718614C22semidirect
154. #11718614C22semidirect
155. #11718614C22semidirect
156. #11718613C22semidirect
157. #11718613C22semidirect
158. #11718613C22semidirect
159. #11718612C22semidirect
160. #11718612C22semidirect
161. #11718611C22semidirect
162. #11718611C22semidirect
163. #11718610C22semidirect
164. #11718610C22semidirect
165. #11718609C22semidirect
166. #11718609C22semidirect
167. #11718609C22semidirect
168. #11718608C22semidirect
169. #11718607C22semidirect
170. #11718606C22semidirect
171. #11718606C22semidirect
172. #11718605C22semidirect
173. #11718604C22semidirect
174. #11718603C22semidirect
175. #11718601C22semidirect
176. #11718601C22semidirect
177. #11718601C22semidirect
178. #11718598C22semidirect
179. #11718597C22semidirect
180. #11718594C22semidirect
181. #11718594C22semidirect
182. #11718594C22semidirect
183. #11718594C22semidirect
184. #11718594C22semidirect
185. #11718594C22semidirect
186. #11718594C22semidirect
187. #11718589C22semidirect
188. #11718589C22semidirect
235. C4×D4×C13D4semidirect
614. C22×C4×D4D13semidirect
997. C22×C13#539semidirect
1105. C4×D4C22⋊D13semidirect
1473. C13#34991semidirect
1676. C22#11719269semidirect

Maximal subgroups

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

subgroupindex
C2×#117192692
#131231512
#131231462
#131231282
#131231232
#131207532
#131207312
#131207042
#131206732
#131190762
#131189712
#131188662
#131188272
#131187822
#131187132
#131186452
#131186392
#131185652
#131184972
#131183812
#131183072
#131182982
#131182262
#131182102
#131181592
#131175342
#131175012
#131174692
C4×#882072
C2×#117188712
C22×C4×D4×C132
#3499113