Finite Group Databasebeta

← #16037072

Subgroups — #16037072

Order 3328.

3010 conjugacy classes of subgroups.

The subgroup lattice has 1784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×#123C211yesmaximal, characteristic, complemented
2C2×C4×D4×D13C211yesmaximal, characteristic, complemented
3#13123160C211yesmaximal, characteristic, complemented
4#13123156C211yesmaximal, characteristic, complemented
5#13123131C211yesmaximal, characteristic, complemented
6#13123127C211yesmaximal, characteristic, complemented
7#13120678C211yesmaximal, characteristic, complemented
8#13120676C211yesmaximal, characteristic, complemented
9#13120674C211yesmaximal, characteristic, complemented
10#13120672C211yesmaximal, characteristic, complemented
11#13120450C211yesmaximal, characteristic, complemented
12#13120448C211yesmaximal, characteristic, complemented
13#13120442C211yesmaximal, characteristic, complemented
14#13120187C211yesmaximal, characteristic, complemented
15#13120181C211yesmaximal, characteristic, complemented
16#13119730C211yesmaximal, characteristic, complemented
17#13119724C211yesmaximal, characteristic, complemented
18#13119113C211yesmaximal, characteristic, complemented
19#13118242C211yesmaximal, characteristic, complemented
20#13118240C211yesmaximal, characteristic, complemented
21#13118220C211yesmaximal, characteristic, complemented
22#13118218C211yesmaximal, characteristic, complemented
23#13118158C211yesmaximal, characteristic, complemented
24#13118158C211yesmaximal, characteristic, complemented
25#13118145C211yesmaximal, characteristic
26#13117506C211yesmaximal, characteristic, complemented
27#13117500C211yesmaximal, characteristic, complemented
28#13117495C211yesmaximal, characteristic, complemented
29#13117489C211yesmaximal, characteristic, complemented
30#13117217C211yesmaximal, characteristic, complemented
31C13×#2602C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C23×C4×D13C2211yescharacteristic, complemented
36C2×C13×#123C2211yescharacteristic, complemented
37C2×C4×D4×C13C2211yescharacteristic, complemented
38C2×#88191C2211yescharacteristic
39C2×#88191C2211yescharacteristic
40C2×#88189C2211yescharacteristic, complemented
41C2×D4×Dic13C2211yescharacteristic, complemented
42C2×#88183C2211yescharacteristic, complemented
43C2×C4×C22⋊D13C2211yescharacteristic
44C2×C4×C22⋊D13C2211yescharacteristic, complemented
45D13×#123—28no—
46C4×D4×D13—28no—
47C2×#88148C2211yescharacteristic
48C2×#88148C2211yescharacteristic
49C2×#88148C2211yescharacteristic
50C2×#88148C2211yescharacteristic
51C2×#88147C2211yescharacteristic
52C2×C4⋊C4×D13C2211yescharacteristic, complemented
53C2×C4⋊C4×D13C2211yescharacteristic, complemented
54C2×C4⋊C4×D13C2211yescharacteristic, complemented
55C2×#88140C2211yescharacteristic, complemented
56C2×#88137C2211yescharacteristic
57C2×#88137C2211yescharacteristic
58C2×#88137C2211yescharacteristic
59C2×#88137C2211yescharacteristic
60C2×#88136C2211yescharacteristic
61C2×#88136C2211yescharacteristic
62C2×#88135C2211yescharacteristic
63C2×#88135C2211yescharacteristic, complemented
64C2×C22⋊C4×D13C2211yescharacteristic
65C2×C22⋊C4×D13C2211yescharacteristic
66C2×C22⋊C4×D13C2211yescharacteristic, complemented
67C2×C22⋊C4×D13C2211yescharacteristic, complemented
68C2×C22⋊C4×D13C2211yescharacteristic, complemented
69C2×C4×D52C2211yescharacteristic
70C2×#88126C2211yescharacteristic, complemented
71C2×#88126C2211yescharacteristic, complemented
72C2×C42×D13C2211yescharacteristic, complemented
73C13×#397C2211yescharacteristic, complemented
74C13×#394C2211yescharacteristic, complemented
75C13×#394C2211yescharacteristic, complemented
76C13×#392C2211yescharacteristic
77C13×#390C2211yescharacteristic, complemented
78C13×#389C2211yescharacteristic, complemented
79C13×#388C2211yescharacteristic, complemented
80C13×#388C2211yescharacteristic, complemented
81C13×#388C2211yescharacteristic, complemented
82C13×#387C2211yescharacteristic, complemented
83C13×#386C2211yescharacteristic, complemented
84C13×#385C2211yescharacteristic, complemented
85C4×C13×C22⋊C4C2211yescharacteristic, complemented
86#11718884C2211yescharacteristic
87#11718884C2211yescharacteristic
88#11718883C2211yescharacteristic, complemented
89#11718883C2211yescharacteristic, complemented
90#11718883C2211yescharacteristic, complemented
91#11718881C2211yescharacteristic, complemented
92#11718874C2211yescharacteristic, complemented
93#11718871C2211yescharacteristic, complemented
94C4×C22⋊Dic13C2211yescharacteristic, complemented
95#11718655C2211yescharacteristic, complemented
96#11718655C2211yescharacteristic, complemented
97#11718651C2211yescharacteristic, complemented
98#11718651C2211yescharacteristic, complemented
99#11718651C2211yescharacteristic, complemented
100#11718650C2211yescharacteristic, complemented
101#11718650C2211yescharacteristic, complemented
102#11718650C2211yescharacteristic, complemented
103#11718650C2211yescharacteristic, complemented
104#11718650C2211yescharacteristic, complemented
105#11718650C2211yescharacteristic, complemented
106#11718642C2211yescharacteristic, complemented
107#11718641C2211yescharacteristic, complemented
108#11718639C2211yescharacteristic, complemented
109#11718633C2211yescharacteristic, complemented
110#11718633C2211yescharacteristic, complemented
111#11718622C2211yescharacteristic, complemented
112#11718622C2211yescharacteristic, complemented
113#11718621C2211yescharacteristic
114#11718620C2211yescharacteristic, complemented
115#11718620C2211yescharacteristic, complemented
116#11718620C2211yescharacteristic, complemented
117#11718620C2211yescharacteristic, complemented
118#11718619C2211yescharacteristic, complemented
119#11718618C2211yescharacteristic, complemented
120#11718618C2211yescharacteristic, complemented
121#11718617C2211yescharacteristic
122#11718617C2211yescharacteristic
123#11718617C2211yescharacteristic
124#11718617C2211yescharacteristic
125#11718617C2211yescharacteristic, complemented
126#11718617C2211yescharacteristic, complemented
127#11718616C2211yescharacteristic
128#11718616C2211yescharacteristic
129#11718616C2211yescharacteristic, complemented
130#11718616C2211yescharacteristic, complemented
131#11718616C2211yescharacteristic, complemented
132#11718616C2211yescharacteristic, complemented
133#11718614C2211yescharacteristic, complemented
134#11718613C2211yescharacteristic, complemented
135#11718613C2211yescharacteristic, complemented
136#11718612C2211yescharacteristic, complemented
137#11718611C2211yescharacteristic, complemented
138#11718609C2211yescharacteristic, complemented
139#11718609C2211yescharacteristic, complemented
140#11718609C2211yescharacteristic, complemented
141#11718609C2211yescharacteristic, complemented
142#11718607C2211yescharacteristic, complemented
143#11718606C2211yescharacteristic, complemented
144#11718606C2211yescharacteristic, complemented
145#11718606C2211yescharacteristic, complemented
146#11718605C2211yescharacteristic, complemented
147#11718603C2211yescharacteristic, complemented
148#11718603C2211yescharacteristic, complemented
149#11718601C2211yescharacteristic, complemented
150#11718601C2211yescharacteristic, complemented
151#11718601C2211yescharacteristic, complemented
152#11718600C2211yescharacteristic, complemented
153C4×#6103C2211yescharacteristic, complemented
154C4×#6103C2211yescharacteristic, complemented
155#11718594C2211yescharacteristic, complemented
156#11718589C2211yescharacteristic, complemented
157#11718337C2211yescharacteristic, complemented
158#11718337C2211yescharacteristic, complemented
159#11718333C2211yescharacteristic, complemented
160#11718331C2211yescharacteristic, complemented
161#11718330C2211yescharacteristic, complemented
162#11718329C2211yescharacteristic, complemented
163#11718329C2211yescharacteristic, complemented
164#11718329C2211yescharacteristic, complemented
165#11718329C2211yescharacteristic, complemented
166#11718329C2211yescharacteristic, complemented
167#11718329C2211yescharacteristic, complemented
168#11718328C2211yescharacteristic, complemented
169#11718328C2211yescharacteristic, complemented
170#11718326C2211yescharacteristic
171#11718326C2211yescharacteristic
172#11718326C2211yescharacteristic
173#11718326C2211yescharacteristic
174#11718326C2211yescharacteristic, complemented
175#11718326C2211yescharacteristic, complemented
176#11718325C2211yescharacteristic, complemented
177#11718325C2211yescharacteristic, complemented
178#11718325C2211yescharacteristic, complemented
179#11718325C2211yescharacteristic, complemented
180#11718325C2211yescharacteristic, complemented
181#11718325C2211yescharacteristic, complemented
182#11718322C2211yescharacteristic, complemented
183#11718318C2211yescharacteristic, complemented
184#11718318C2211yescharacteristic, complemented
185#11718316C2211yescharacteristic, complemented
186#11718315C2211yescharacteristic, complemented
187#11718314C2211yescharacteristic, complemented
188#11718313C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C24×D13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C2×D4×D13—24no—
206C2×D4×D13—24no—
207C2×D4×D13—24no—
208C2×D4×D13—24no—
209C2×D4×D13—42no—
210C2×D4×D13—42no—
211C22×D52C2311yescharacteristic
212C22×D52C2311yescharacteristic
213C22×D52C2311yescharacteristic
214C22×C4×D13—24no—
215C22×C4×D13—42no—
216C22×C4×D13—42no—
217C22×C4×D13—42no—
218C22×C4×D13—42no—
219C22×C4×D13D418yescomplemented
220C22×C4×D13C2311yescharacteristic
221C22×C4×D13C2311yescharacteristic
222C22×C4×D13C2311yescharacteristic
223C22×C4×D13C2311yescharacteristic
224C22×C4×D13C2311yescharacteristic
225C22×C4×D13C2311yescharacteristic
226C22×C4×D13C2311yescharacteristic
227C22×C4×D13C2311yescharacteristic
228C22×C4×D13C2311yescharacteristic
229C22×C4×D13C2311yescharacteristic
230C22×C4×D13C2311yescharacteristic
231C22×C4×D13C2311yescharacteristic
232C13×#123—24no—
233C4×D4×C13—24no—
234C2×C13×C4⋊C4C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236C2×C13×C4⋊C4C2311yescharacteristic
237C2×C13×C4⋊C4C2311yescharacteristic
238C2×C13×C4⋊C4C2311yescharacteristic
239C2×C13×C4⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241C2×C13×C22⋊C4C2311yescharacteristic
242C2×C13×C22⋊C4C2311yescharacteristic
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×C13×C22⋊C4C2311yescharacteristic
252C2×C13×C22⋊C4C2311yescharacteristic
253C2×C42×C13C2311yescharacteristic
254C2×C42×C13C2311yescharacteristic
255C2×C42×C13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
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
269#88191—24no—
270#88191—42no—
271#88189—24no—
272D4×Dic13—24no—
273#88183—24no—
274C4×C22⋊D13—24no—
275C4×C22⋊D13—24no—
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
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×C4⋊Dic13C2311yescharacteristic
307C2×C4⋊Dic13C2311yescharacteristic
308C2×C4⋊Dic13C2311yescharacteristic
309C2×C4⋊Dic13C2311yescharacteristic
310C2×C4⋊Dic13C2311yescharacteristic
311C2×C4⋊Dic13C2311yescharacteristic
312C2×#6101C2311yescharacteristic
313C2×#6101C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×#6101C2311yescharacteristic
318C2×#6101C2311yescharacteristic
319C2×#6101C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×#6101C2311yescharacteristic
324C2×#6101C2311yescharacteristic
325C2×#6101C2311yescharacteristic
326C2×#6101C2311yescharacteristic
327C2×#6101C2311yescharacteristic
328C2×C4×Dic13C2311yescharacteristic
329C2×C4×Dic13C2311yescharacteristic
330C2×C4×Dic13C2311yescharacteristic
331C2×C4×Dic13C2311yescharacteristic
332C2×C4×Dic13C2311yescharacteristic
333#88148—24no—
334#88148—24no—
335#88148—24no—
336#88148—42no—
337#88147—24no—
338C4⋊C4×D13—24no—
339C4⋊C4×D13—24no—
340C4⋊C4×D13—24no—
341#88140—24no—
342#88137—24no—
343#88137—24no—
344#88137—24no—
345#88137—42no—
346#88136—24no—
347#88136—42no—
348#88135—24no—
349#88135—24no—
350C22⋊C4×D13—24no—
351C22⋊C4×D13—24no—
352C22⋊C4×D13—24no—
353C22⋊C4×D13—24no—
354C22⋊C4×D13—24no—
355C4×D52—24no—
356#88126—42no—
357#88126—42no—
358C42×D13—24no—
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361C13×#95C2311yescharacteristic
362C13×#95C2311yescharacteristic
363C13×#95C2311yescharacteristic
364C13×#95C2311yescharacteristic
365C13×#95C2311yescharacteristic
366C13×#95C2311yescharacteristic
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#35062—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—22no—
405C23×D13—22no—
406C23×D13—22no—
407C23×D13—41no—
408C23×D13—41no—
409C23×D13—41no—
410C23×D13—41no—
411C23×D13—41no—
412C23×D13—41no—
413C23×D13—41no—
414C23×D13—41no—
415C23×D13C2×D414yes—
416C23×D13C2411yescharacteristic
417C23×D13C2411yescharacteristic
418C23×D13C2411yescharacteristic
419C23×D13C2411yescharacteristic
420C2×D4×C13—22no—
421C2×D4×C13—22no—
422C2×D4×C13—22no—
423C2×D4×C13—22no—
424C2×D4×C13—22no—
425C2×D4×C13—41no—
426C2×D4×C13—41no—
427C2×D4×C13—41no—
428C2×D4×C13—41no—
429C22×C4×C13—22no—
430C22×C4×C13—41no—
431C22×C4×C13—41no—
432C22×C4×C13—41no—
433C22×C4×C13—41no—
434C22×C4×C13C2×D414yes—
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
444C22×C4×C13C2411yescharacteristic
445C22×C4×C13C2411yescharacteristic
446C22×C4×C13C2411yescharacteristic
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#4114yes—
465C22×Dic13—22no—
466C22×Dic13—41no—
467C22×Dic13—41no—
468C22×Dic13—41no—
469C22×Dic13—41no—
470C22×Dic13C2×D414yes—
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C22×Dic13C2411yescharacteristic
475C22×Dic13C2411yescharacteristic
476C22×Dic13C2411yescharacteristic
477C22×Dic13C2411yescharacteristic
478C22×Dic13C2411yescharacteristic
479C22×Dic13C2411yescharacteristic
480C22×Dic13C2411yescharacteristic
481C22×Dic13C2411yescharacteristic
482C22×Dic13C2411yescharacteristic
483D4×D13—232no—
484D4×D13—416no—
485C2×D52—22no—
486C2×D52—22no—
487C2×D52—22no—
488C2×D52—22no—
489C2×D52—22no—
490C2×D52—22no—
491C2×D52—41no—
492C2×D52—41no—
493C2×D52#4114yes—
494C2×C4×D13—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—416no—
513C2×C4×D13—416no—
514C2×C4×D13—41no—
515C2×C4×D13—41no—
516C2×C4×D13—41no—
517C2×C4×D13—41no—
518C2×C4×D13—41no—
519C2×C4×D13—41no—
520C2×C4×D13—41no—
521C2×C4×D13—41no—
522C2×C4×D13—41no—
523C2×C4×D13—41no—
524C2×C4×D13—41no—
525C2×C4×D13—41no—
526C2×C4×D13—41no—
527C2×C4×D13—41no—
528C2×C4×D13C2×D414yes—
529C2×C4×D13C2×D414yes—
530C2×C4×D13C2×D414yes—
531C2×C4×D13C2×D414yes—
532C13×C4⋊C4—22no—
533C13×C4⋊C4—22no—
534C13×C4⋊C4—22no—
535C13×C4⋊C4—22no—
536C13×C4⋊C4—41no—
537C13×C4⋊C4—41no—
538C13×C22⋊C4—22no—
539C13×C22⋊C4—22no—
540C13×C22⋊C4—22no—
541C13×C22⋊C4—22no—
542C13×C22⋊C4—22no—
543C13×C22⋊C4—22no—
544C13×C22⋊C4—22no—
545C13×C22⋊C4—41no—
546C13×C22⋊C4—41no—
547C13×C22⋊C4—41no—
548C13×C22⋊C4—41no—
549C13×C22⋊C4—41no—
550C13×C22⋊C4—41no—
551C42×C13—22no—
552C42×C13—41no—
553C42×C13—41no—
554C22⋊Dic13—22no—
555C22⋊Dic13—22no—
556C22⋊Dic13—22no—
557C22⋊Dic13—22no—
558C22⋊Dic13—22no—
559C22⋊Dic13—22no—
560C22⋊Dic13—22no—
561C22⋊Dic13—41no—
562C22⋊Dic13—41no—
563C22⋊Dic13—41no—
564C22⋊Dic13—41no—
565C22⋊Dic13—41no—
566C22⋊Dic13—41no—
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—22no—
583#6103—22no—
584#6103—22no—
585#6103—22no—
586#6103—22no—
587#6103—22no—
588#6103—22no—
589#6103—41no—
590#6103—41no—
591#6103—41no—
592#6103—41no—
593#6103—41no—
594#6103—41no—
595#6103—41no—
596#6103—41no—
597C4⋊Dic13—22no—
598C4⋊Dic13—22no—
599C4⋊Dic13—22no—
600C4⋊Dic13—22no—
601C4⋊Dic13—41no—
602C4⋊Dic13—41no—
603#6101—22no—
604#6101—22no—
605#6101—22no—
606#6101—22no—
607#6101—22no—
608#6101—22no—
609#6101—22no—
610#6101—22no—
611#6101—41no—
612#6101—41no—
613#6101—41no—
614#6101—41no—
615#6101—41no—
616#6101—41no—
617#6101—41no—
618#6101—41no—
619C4×Dic13—22no—
620C4×Dic13—22no—
621C4×Dic13—22no—
622C4×Dic13—41no—
623C4×Dic13—41no—
624C22×#123—131no—
625C22×C4×D4—131no—
626#2853—131no—
627#2853—131no—
628#2849—131no—
629#2849—131no—
630#2630—131no—
631#2630—131no—
632#2630—131no—
633#2630—131no—
634#2602—131no—
635#2602—131no—
636#2602—131no—
637#2602D1311yescharacteristic, complemented
638#2579—131no—
639#2579—131no—
640#2534—131no—
641#2534—131no—
642#2483—131no—
643#2413—131no—
644#2413—131no—
645#2411—131no—
646#2411—131no—
647#2405—131no—
648#2405—131no—
649#2403—131no—
650#2322—131no—
651#2322—131no—
652#2321—131no—
653#2321—131no—
654#2280—131no—
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—21no—
674C23×C13C22×D412yes—
675C23×C13C2×#4112yes—
676C23×C13C2511yescharacteristic
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—28no—
686C22×D13—21no—
687C22×D13—21no—
688C22×D13—21no—
689C22×D13—21no—
690C22×D13—21no—
691C22×D13—21no—
692C22×D13—28no—
693C22×D13—28no—
694C22×D13—21no—
695C22×D13—21no—
696C22×D13—21no—
697C22×D13—21no—
698C22×D13—21no—
699C22×D13—21no—
700C22×D13—21no—
701C22×D13—44no—
702C22×D13—44no—
703C22×D13—44no—
704C22×D13—44no—
705C22×D13—44no—
706C22×D13—44no—
707C22×D13—44no—
708C22×D13—44no—
709C22×D13—44no—
710C22×D13—44no—
711C22×D13—44no—
712C22×D13—44no—
713C22×D13—44no—
714C22×D13—44no—
715C22×D13—82no—
716C22×D13—82no—
717C22×D13—82no—
718C22×D13—82no—
719C22×D13C22×D412yes—
720C22×D13C22×D412yes—
721C22×D13C2×#4112yes—
722C22×D13C2×#4112yes—
723C22×D13C2×#4112yes—
724C22×D13H(5,𝔽2)12yes—
725C22×D13H(5,𝔽2)12yes—
726D4×C13—28no—
727D4×C13—44no—
728D4×C13—82no—
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—21no—
736C2×C4×C13—21no—
737C2×C4×C13—21no—
738C2×C4×C13—21no—
739C2×C4×C13—21no—
740C2×C4×C13—21no—
741C2×C4×C13—21no—
742C2×C4×C13—21no—
743C2×C4×C13—21no—
744C2×C4×C13—21no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—21no—
753C2×C4×C13—21no—
754C2×C4×C13—21no—
755C2×C4×C13—21no—
756C2×C4×C13—21no—
757C2×C4×C13—21no—
758C2×C4×C13—21no—
759C2×C4×C13—21no—
760C2×C4×C13—21no—
761C2×C4×C13—21no—
762C2×C4×C13—44no—
763C2×C4×C13—44no—
764C2×C4×C13C22×D412yes—
765C2×C4×C13C22×D412yes—
766C2×C4×C13C2×#4112yes—
767C22⋊D13—28no—
768C22⋊D13—28no—
769C22⋊D13—44no—
770C22⋊D13—44no—
771C22⋊D13—82no—
772C22⋊D13—82no—
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—21no—
799C2×Dic13—21no—
800C2×Dic13—21no—
801C2×Dic13—21no—
802C2×Dic13—21no—
803C2×Dic13—21no—
804C2×Dic13—21no—
805C2×Dic13—21no—
806C2×Dic13—44no—
807C2×Dic13—44no—
808C2×Dic13C22×D412yes—
809C2×Dic13C22×D412yes—
810C2×Dic13C2×#4112yes—
811D52—28no—
812D52—44no—
813D52—82no—
814C4×D13—28no—
815C4×D13—28no—
816C4×D13—28no—
817C4×D13—44no—
818C4×D13—44no—
819C4×D13—44no—
820C4×D13—44no—
821C4×D13—44no—
822C4×D13—44no—
823C4×D13—44no—
824C4×D13—44no—
825C4×D13—44no—
826C23×D4—131no—
827C23×D4—131no—
828C24×C4—131no—
829C24×C4—131no—
830C2×#123—131no—
831C2×#123—131no—
832C2×#123—131no—
833C2×#123—131no—
834C2×#123—131no—
835C2×#123—131no—
836C2×#123—131no—
837C2×#123—131no—
838C2×#123—131no—
839C2×#123—131no—
840C2×#123—131no—
841C2×#123—268no—
842C2×#123C2×D1311yescharacteristic, complemented
843C2×#120—131no—
844C2×#120—131no—
845C2×#120—131no—
846C2×#120—131no—
847C2×C4×D4—131no—
848C2×C4×D4—131no—
849C2×C4×D4—131no—
850C2×C4×D4—131no—
851C2×C4×D4—131no—
852C2×C4×D4—131no—
853C2×C4×D4—131no—
854C2×C4×D4—268no—
855C2×C4×D4C2×D1311yescharacteristic, complemented
856C2×#117—131no—
857C2×#117—131no—
858C22×C4⋊C4—131no—
859C22×C4⋊C4—131no—
860C22×C4⋊C4—131no—
861C22×C22⋊C4—131no—
862C22×C22⋊C4—131no—
863C22×C22⋊C4—131no—
864C22×C22⋊C4—131no—
865C22×C22⋊C4—131no—
866C22×C42—131no—
867#398—131no—
868#398—131no—
869#398—131no—
870#398—131no—
871#397—131no—
872#397—131no—
873#397—131no—
874#397C2×D1311yescharacteristic, complemented
875#396—131no—
876#396—131no—
877#396—131no—
878#396—131no—
879#396—131no—
880#396—131no—
881#396—131no—
882#396—131no—
883#394—131no—
884#394—131no—
885#394—131no—
886#394—131no—
887#394—131no—
888#394—131no—
889#394—131no—
890#394—131no—
891#394—131no—
892#394—131no—
893#394C2×D1311yescharacteristic, complemented
894#394C2×D1311yescharacteristic, complemented
895#392—131no—
896#392—131no—
897#392—131no—
898#392C2×D1311yescharacteristic
899#390—131no—
900#390—131no—
901#390—131no—
902#390C2×D1311yescharacteristic, complemented
903#389—131no—
904#389—131no—
905#389—131no—
906#389C2×D1311yescharacteristic, complemented
907#388—131no—
908#388—131no—
909#388—131no—
910#388—131no—
911#388—131no—
912#388—131no—
913#388—131no—
914#388—131no—
915#388—131no—
916#388—131no—
917#388—131no—
918#388—131no—
919#388—131no—
920#388C2×D1311yescharacteristic, complemented
921#388C2×D1311yescharacteristic, complemented
922#388C2×D1311yescharacteristic, complemented
923#387—131no—
924#387—131no—
925#387—131no—
926#387—131no—
927#387—131no—
928#387—131no—
929#387—131no—
930#387C2×D1311yescharacteristic, complemented
931#386—131no—
932#386—131no—
933#386—131no—
934#386—131no—
935#386—131no—
936#386—131no—
937#386—131no—
938#386—131no—
939#386—131no—
940#386—131no—
941#386—131no—
942#386—131no—
943#386—131no—
944#386—131no—
945#386—131no—
946#386C2×D1311yescharacteristic, complemented
947#385—131no—
948#385—131no—
949#385—131no—
950#385—131no—
951#385—131no—
952#385—131no—
953#385—131no—
954#385—131no—
955#385—131no—
956#385—131no—
957#385—131no—
958#385—131no—
959#385—131no—
960#385—131no—
961#385—131no—
962#385C2×D1311yescharacteristic, complemented
963#381—131no—
964#381—131no—
965#381—131no—
966#381—131no—
967#381—131no—
968#381—131no—
969#380—131no—
970#380—131no—
971#380—131no—
972#380—131no—
973#379—131no—
974#379—131no—
975#379—131no—
976#379—131no—
977#379—131no—
978#379—131no—
979C4×C22⋊C4—131no—
980C4×C22⋊C4—131no—
981C4×C22⋊C4—131no—
982C4×C22⋊C4C2×D1311yescharacteristic, complemented
983C22×C13—22no—
984C22×C13—22no—
985C22×C13—22no—
986C22×C13—22no—
987C22×C13—22no—
988C22×C13—22no—
989C22×C13—41no—
990C22×C13—41no—
991C22×C13—41no—
992C22×C13—41no—
993C22×C13—41no—
994C22×C13—41no—
995C22×C13—41no—
996C22×C13—41no—
997C22×C13—41no—
998C22×C13—41no—
999C22×C13—41no—
1000C22×C13—41no—
1001C22×C13—41no—
1002C22×C13—41no—
1003C22×C13—41no—
1004C22×C13C23×D411yescharacteristic
1005C22×C13C22×#4111yescharacteristic
1006C22×C13C22×#4111yescharacteristic
1007C22×C13C2×H(5,𝔽2)11yescharacteristic
1008C22×C13C2×H(5,𝔽2)11yescharacteristic
1009C22×C13#58511yescharacteristic
1010C22×C13#58511yescharacteristic
1011C2×D13—22no—
1012C2×D13—22no—
1013C2×D13—22no—
1014C2×D13—22no—
1015C2×D13—22no—
1016C2×D13—22no—
1017C2×D13—22no—
1018C2×D13—22no—
1019C2×D13—22no—
1020C2×D13—22no—
1021C2×D13—22no—
1022C2×D13—22no—
1023C2×D13—22no—
1024C2×D13—22no—
1025C2×D13—22no—
1026C2×D13—416no—
1027C2×D13—416no—
1028C2×D13—41no—
1029C2×D13—41no—
1030C2×D13—41no—
1031C2×D13—41no—
1032C2×D13—41no—
1033C2×D13—41no—
1034C2×D13—41no—
1035C2×D13—41no—
1036C2×D13—41no—
1037C2×D13—41no—
1038C2×D13—41no—
1039C2×D13—88no—
1040C2×D13#52514yes—
1041C2×D13#53414yes—
1042C4×C13—22no—
1043C4×C13—22no—
1044C4×C13—22no—
1045C4×C13—41no—
1046C4×C13—41no—
1047C4×C13—41no—
1048C4×C13—41no—
1049C4×C13—41no—
1050C4×C13—41no—
1051C4×C13—41no—
1052C4×C13—41no—
1053C4×C13—41no—
1054Dic13—22no—
1055Dic13—22no—
1056Dic13—22no—
1057Dic13—41no—
1058Dic13—41no—
1059Dic13—41no—
1060Dic13—41no—
1061Dic13—41no—
1062Dic13—41no—
1063Dic13—41no—
1064Dic13—41no—
1065Dic13—41no—
1066C25—131no—
1067C25—131no—
1068C25—131no—
1069C22×D4—131no—
1070C22×D4—131no—
1071C22×D4—131no—
1072C22×D4—131no—
1073C22×D4—131no—
1074C22×D4—131no—
1075C22×D4—131no—
1076C22×D4—131no—
1077C22×D4—131no—
1078C22×D4—264no—
1079C22×D4—264no—
1080C22×D4—264no—
1081C22×D4—264no—
1082C22×D4—522no—
1083C22×D4—522no—
1084C22×D4C22×D1311yescharacteristic
1085C22×D4C22×D1311yescharacteristic
1086C22×D4C22×D1311yescharacteristic
1087C23×C4—131no—
1088C23×C4—131no—
1089C23×C4—131no—
1090C23×C4—138no—
1091C23×C4—131no—
1092C23×C4—131no—
1093C23×C4—131no—
1094C23×C4—131no—
1095C23×C4—131no—
1096C23×C4—131no—
1097C23×C4—131no—
1098C23×C4—131no—
1099C23×C4—131no—
1100C23×C4—131no—
1101C23×C4—131no—
1102C23×C4—264no—
1103C23×C4—522no—
1104C23×C4—522no—
1105C23×C4—522no—
1106C23×C4—522no—
1107C23×C4C22×D1311yescharacteristic
1108C23×C4C22×D1311yescharacteristic
1109#123—24no—
1110#123—264no—
1111#123—264no—
1112#123—264no—
1113#123—264no—
1114#123—264no—
1115#123—264no—
1116#123—264no—
1117#123—264no—
1118#123—264no—
1119#123—522no—
1120#123—522no—
1121#120—264no—
1122#120—264no—
1123#120—522no—
1124#120—522no—
1125C4×D4—24no—
1126C4×D4—264no—
1127C4×D4—264no—
1128C4×D4—264no—
1129C4×D4—264no—
1130C4×D4—264no—
1131C4×D4—264no—
1132C4×D4—264no—
1133#117—522no—
1134#117—522no—
1135C2×C4⋊C4—131no—
1136C2×C4⋊C4—131no—
1137C2×C4⋊C4—131no—
1138C2×C4⋊C4—131no—
1139C2×C4⋊C4—131no—
1140C2×C4⋊C4—131no—
1141C2×C4⋊C4—131no—
1142C2×C4⋊C4—131no—
1143C2×C4⋊C4—131no—
1144C2×C4⋊C4—131no—
1145C2×C4⋊C4—131no—
1146C2×C4⋊C4—131no—
1147C2×C4⋊C4—131no—
1148C2×C4⋊C4—131no—
1149C2×C4⋊C4—131no—
1150C2×C4⋊C4—131no—
1151C2×C4⋊C4—131no—
1152C2×C4⋊C4—131no—
1153C2×C4⋊C4—131no—
1154C2×C4⋊C4—131no—
1155C2×C4⋊C4—131no—
1156C2×C4⋊C4—131no—
1157C2×C4⋊C4—264no—
1158C2×C4⋊C4—264no—
1159C2×C4⋊C4—264no—
1160C2×C4⋊C4C22×D1311yescharacteristic
1161C2×C4⋊C4C22×D1311yescharacteristic
1162C2×C4⋊C4C22×D1311yescharacteristic
1163C2×C4⋊C4C22×D1311yescharacteristic
1164C2×C4⋊C4C22×D1311yescharacteristic
1165C2×C4⋊C4C22×D1311yescharacteristic
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—131no—
1186C2×C22⋊C4—131no—
1187C2×C22⋊C4—131no—
1188C2×C22⋊C4—131no—
1189C2×C22⋊C4—131no—
1190C2×C22⋊C4—131no—
1191C2×C22⋊C4—131no—
1192C2×C22⋊C4—131no—
1193C2×C22⋊C4—131no—
1194C2×C22⋊C4—131no—
1195C2×C22⋊C4—131no—
1196C2×C22⋊C4—131no—
1197C2×C22⋊C4—131no—
1198C2×C22⋊C4—131no—
1199C2×C22⋊C4—131no—
1200C2×C22⋊C4—131no—
1201C2×C22⋊C4—131no—
1202C2×C22⋊C4—131no—
1203C2×C22⋊C4—131no—
1204C2×C22⋊C4—131no—
1205C2×C22⋊C4—131no—
1206C2×C22⋊C4—131no—
1207C2×C22⋊C4—131no—
1208C2×C22⋊C4—131no—
1209C2×C22⋊C4—264no—
1210C2×C22⋊C4—264no—
1211C2×C22⋊C4—264no—
1212C2×C22⋊C4—264no—
1213C2×C22⋊C4—264no—
1214C2×C22⋊C4C22×D1311yescharacteristic
1215C2×C22⋊C4C22×D1311yescharacteristic
1216C2×C22⋊C4C22×D1311yescharacteristic
1217C2×C22⋊C4C22×D1311yescharacteristic
1218C2×C22⋊C4C22×D1311yescharacteristic
1219C2×C22⋊C4C22×D1311yescharacteristic
1220C2×C22⋊C4C22×D1311yescharacteristic
1221C2×C22⋊C4C22×D1311yescharacteristic
1222C2×C22⋊C4C22×D1311yescharacteristic
1223C2×C22⋊C4C22×D1311yescharacteristic
1224C2×C22⋊C4C22×D1311yescharacteristic
1225C2×C22⋊C4C22×D1311yescharacteristic
1226C2×C22⋊C4C22×D1311yescharacteristic
1227C2×C42—131no—
1228C2×C42—131no—
1229C2×C42—131no—
1230C2×C42—131no—
1231C2×C42—131no—
1232C2×C42—264no—
1233C2×C42C22×D1311yescharacteristic
1234C2×C42C22×D1311yescharacteristic
1235C2×C42C22×D1311yescharacteristic
1236#95—131no—
1237#95—131no—
1238#95—131no—
1239#95—131no—
1240#95—131no—
1241#95—131no—
1242#95—131no—
1243#95—131no—
1244#95—131no—
1245#95—131no—
1246#95—131no—
1247#95—131no—
1248#95—131no—
1249#95—131no—
1250#95—131no—
1251#95—131no—
1252#95—131no—
1253#95—131no—
1254#95—131no—
1255#95—131no—
1256#95—131no—
1257#95—131no—
1258#95—131no—
1259#95—131no—
1260#95C22×D1311yescharacteristic
1261#95C22×D1311yescharacteristic
1262#95C22×D1311yescharacteristic
1263#95C22×D1311yescharacteristic
1264#95C22×D1311yescharacteristic
1265#95C22×D1311yescharacteristic
1266#95C22×D1311yescharacteristic
1267#95C22×D1311yescharacteristic
1268C2×C13—42no—
1269C2×C13—42no—
1270C2×C13—81no—
1271C2×C13C2×#52511yescharacteristic
1272C2×C13C2×#53411yescharacteristic
1273C2×C13#344911yescharacteristic
1274C2×C13#351311yescharacteristic
1275C2×C13#351311yescharacteristic
1276C2×C13#351311yescharacteristic
1277C2×C13#351311yescharacteristic
1278D13—24no—
1279D13—24no—
1280D13—42no—
1281D13—81no—
1282C24—131no—
1283C24—131no—
1284C24—131no—
1285C24—134no—
1286C24—131no—
1287C24—262no—
1288C24—262no—
1289C24—262no—
1290C24—262no—
1291C24—262no—
1292C24—262no—
1293C24—262no—
1294C24—262no—
1295C24—262no—
1296C24—262no—
1297C24—262no—
1298C24—262no—
1299C24—521no—
1300C24—521no—
1301C24—521no—
1302C24—521no—
1303C24—521no—
1304C24—521no—
1305C24—521no—
1306C24—521no—
1307C24C23×D1311yescharacteristic
1308C24C23×D1311yescharacteristic
1309C24C23×D1311yescharacteristic
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—134no—
1320C2×D4—134no—
1321C2×D4—262no—
1322C2×D4—262no—
1323C2×D4—262no—
1324C2×D4—262no—
1325C2×D4—262no—
1326C2×D4—262no—
1327C2×D4—262no—
1328C2×D4—2632no—
1329C2×D4—262no—
1330C2×D4—262no—
1331C2×D4—262no—
1332C2×D4—262no—
1333C2×D4—262no—
1334C2×D4—262no—
1335C2×D4—262no—
1336C2×D4—262no—
1337C2×D4—262no—
1338C2×D4—262no—
1339C2×D4—521no—
1340C2×D4—521no—
1341C2×D4—521no—
1342C2×D4—521no—
1343C2×D4—521no—
1344C2×D4—521no—
1345C2×D4—521no—
1346C2×D4—521no—
1347C2×D4—5216no—
1348C22×C4—22no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—131no—
1354C22×C4—131no—
1355C22×C4—131no—
1356C22×C4—134no—
1357C22×C4—134no—
1358C22×C4—134no—
1359C22×C4—134no—
1360C22×C4—134no—
1361C22×C4—131no—
1362C22×C4—131no—
1363C22×C4—131no—
1364C22×C4—131no—
1365C22×C4—131no—
1366C22×C4—131no—
1367C22×C4—131no—
1368C22×C4—131no—
1369C22×C4—131no—
1370C22×C4—262no—
1371C22×C4—262no—
1372C22×C4—262no—
1373C22×C4—262no—
1374C22×C4—262no—
1375C22×C4—262no—
1376C22×C4—262no—
1377C22×C4—262no—
1378C22×C4—262no—
1379C22×C4—262no—
1380C22×C4—262no—
1381C22×C4—262no—
1382C22×C4—262no—
1383C22×C4—262no—
1384C22×C4—262no—
1385C22×C4—262no—
1386C22×C4—262no—
1387C22×C4—262no—
1388C22×C4—262no—
1389C22×C4—521no—
1390C22×C4—521no—
1391C22×C4—521no—
1392C22×C4—521no—
1393C22×C4—521no—
1394C22×C4—521no—
1395C22×C4—521no—
1396C22×C4—521no—
1397C22×C4—521no—
1398C22×C4—521no—
1399C22×C4—521no—
1400C22×C4—521no—
1401C22×C4—521no—
1402C22×C4—521no—
1403C22×C4—5216no—
1404C22×C4—5216no—
1405C22×C4—521no—
1406C22×C4—521no—
1407C22×C4—521no—
1408C22×C4—521no—
1409C22×C4D4×D1314yes—
1410C22×C4C23×D1311yescharacteristic
1411C22×C4C23×D1311yescharacteristic
1412C22×C4C23×D1311yescharacteristic
1413C22×C4C23×D1311yescharacteristic
1414C22×C4C23×D1311yescharacteristic
1415C22×C4C23×D1311yescharacteristic
1416C22×C4C23×D1311yescharacteristic
1417C22×C4C23×D1311yescharacteristic
1418C22×C4C23×D1311yescharacteristic
1419C22×C4C23×D1311yescharacteristic
1420C22×C4C23×D1311yescharacteristic
1421C22×C4C23×D1311yescharacteristic
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—262no—
1429C4⋊C4—262no—
1430C4⋊C4—262no—
1431C4⋊C4—262no—
1432C4⋊C4—262no—
1433C4⋊C4—262no—
1434C4⋊C4—262no—
1435C4⋊C4—262no—
1436C4⋊C4—262no—
1437C4⋊C4—262no—
1438C4⋊C4—262no—
1439C4⋊C4—262no—
1440C4⋊C4—521no—
1441C4⋊C4—521no—
1442C4⋊C4—521no—
1443C4⋊C4—521no—
1444C4⋊C4—521no—
1445C4⋊C4—521no—
1446C4⋊C4—521no—
1447C4⋊C4—521no—
1448C4⋊C4—521no—
1449C4⋊C4—521no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—262no—
1464C22⋊C4—262no—
1465C22⋊C4—262no—
1466C22⋊C4—262no—
1467C22⋊C4—262no—
1468C22⋊C4—262no—
1469C22⋊C4—262no—
1470C22⋊C4—262no—
1471C22⋊C4—262no—
1472C22⋊C4—262no—
1473C22⋊C4—262no—
1474C22⋊C4—262no—
1475C22⋊C4—262no—
1476C22⋊C4—262no—
1477C22⋊C4—262no—
1478C22⋊C4—262no—
1479C22⋊C4—262no—
1480C22⋊C4—262no—
1481C22⋊C4—262no—
1482C22⋊C4—262no—
1483C22⋊C4—262no—
1484C22⋊C4—262no—
1485C22⋊C4—262no—
1486C22⋊C4—262no—
1487C22⋊C4—262no—
1488C22⋊C4—262no—
1489C22⋊C4—262no—
1490C22⋊C4—262no—
1491C22⋊C4—262no—
1492C22⋊C4—521no—
1493C22⋊C4—521no—
1494C22⋊C4—521no—
1495C22⋊C4—521no—
1496C22⋊C4—521no—
1497C22⋊C4—521no—
1498C22⋊C4—521no—
1499C22⋊C4—521no—
1500C22⋊C4—521no—
1501C22⋊C4—521no—
1502C22⋊C4—521no—
1503C22⋊C4—521no—
1504C22⋊C4—521no—
1505C22⋊C4—521no—
1506C42—22no—
1507C42—41no—
1508C42—41no—
1509C42—262no—
1510C42—262no—
1511C42—262no—
1512C42—521no—
1513C42—521no—
1514C13#3506211yescharacteristic, complemented, Sylow
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—132no—
1535C23—132no—
1536C23—132no—
1537C23—132no—
1538C23—132no—
1539C23—132no—
1540C23—132no—
1541C23—268no—
1542C23—268no—
1543C23—268no—
1544C23—261no—
1545C23—261no—
1546C23—261no—
1547C23—261no—
1548C23—261no—
1549C23—261no—
1550C23—261no—
1551C23—261no—
1552C23—261no—
1553C23—261no—
1554C23—261no—
1555C23—261no—
1556C23—261no—
1557C23—261no—
1558C23—261no—
1559C23—261no—
1560C23—261no—
1561C23—261no—
1562C23—261no—
1563C23—261no—
1564C23—261no—
1565C23—524no—
1566C23—524no—
1567C23—524no—
1568C23—524no—
1569C23—524no—
1570C23—524no—
1571C23—524no—
1572C23—524no—
1573C23—524no—
1574C23—524no—
1575C23—524no—
1576C23—524no—
1577C23—524no—
1578C23—524no—
1579C23—1042no—
1580C23—1042no—
1581C23—1042no—
1582C23—1042no—
1583C23C2×D4×D1312yes—
1584C23#41×D1312yes—
1585C23C24×D1311yescharacteristic
1586D4—28no—
1587D4—44no—
1588D4—82no—
1589D4—268no—
1590D4—268no—
1591D4—268no—
1592D4—524no—
1593D4—524no—
1594D4—524no—
1595D4—1042no—
1596D4—1042no—
1597D4—1042no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—132no—
1634C2×C4—132no—
1635C2×C4—132no—
1636C2×C4—268no—
1637C2×C4—268no—
1638C2×C4—268no—
1639C2×C4—261no—
1640C2×C4—261no—
1641C2×C4—261no—
1642C2×C4—261no—
1643C2×C4—261no—
1644C2×C4—261no—
1645C2×C4—261no—
1646C2×C4—261no—
1647C2×C4—261no—
1648C2×C4—261no—
1649C2×C4—261no—
1650C2×C4—261no—
1651C2×C4—261no—
1652C2×C4—261no—
1653C2×C4—261no—
1654C2×C4—261no—
1655C2×C4—261no—
1656C2×C4—261no—
1657C2×C4—261no—
1658C2×C4—261no—
1659C2×C4—261no—
1660C2×C4—261no—
1661C2×C4—261no—
1662C2×C4—261no—
1663C2×C4—261no—
1664C2×C4—261no—
1665C2×C4—261no—
1666C2×C4—261no—
1667C2×C4—261no—
1668C2×C4—261no—
1669C2×C4—261no—
1670C2×C4—261no—
1671C2×C4—261no—
1672C2×C4—524no—
1673C2×C4—524no—
1674C2×C4—524no—
1675C2×C4—524no—
1676C2×C4—524no—
1677C2×C4—524no—
1678C2×C4—524no—
1679C2×C4—524no—
1680C2×C4—524no—
1681C2×C4—524no—
1682C2×C4—524no—
1683C2×C4C2×D4×D1312yes—
1684C2×C4C2×D4×D1312yes—
1685C2×C4#41×D1312yes—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—134no—
1708C22—134no—
1709C22—262no—
1710C22—262no—
1711C22—262no—
1712C22—262no—
1713C22—262no—
1714C22—262no—
1715C22—262no—
1716C22—262no—
1717C22—262no—
1718C22—262no—
1719C22—262no—
1720C22—262no—
1721C22—262no—
1722C22—262no—
1723C22—262no—
1724C22—5216no—
1725C22—5216no—
1726C22—521no—
1727C22—521no—
1728C22—521no—
1729C22—521no—
1730C22—521no—
1731C22—521no—
1732C22—521no—
1733C22—521no—
1734C22—521no—
1735C22—521no—
1736C22—521no—
1737C22—1048no—
1738C22C22×D4×D1311yescharacteristic
1739C22C2×#41×D1311yescharacteristic
1740C22C2×#41×D1311yescharacteristic
1741C22#1171964811yescharacteristic
1742C22#1171964811yescharacteristic
1743C22D13×H(5,𝔽2)11yescharacteristic
1744C22D13×H(5,𝔽2)11yescharacteristic
1745C4—22no—
1746C4—22no—
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—262no—
1758C4—262no—
1759C4—262no—
1760C4—521no—
1761C4—521no—
1762C4—521no—
1763C4—521no—
1764C4—521no—
1765C4—521no—
1766C4—521no—
1767C4—521no—
1768C4—521no—
1769C2—42no—
1770C2—42no—
1771C2—81no—
1772C2—264no—
1773C2—264no—
1774C2—522no—
1775C2—1041no—
1776C2D13×#52511yescharacteristic
1777C2D13×#53411yescharacteristic
1778C2#1312816311yescharacteristic
1779C2#1312876711yescharacteristic
1780C2#1312877311yescharacteristic
1781C2#1312877511yescharacteristic
1782C2#1312878311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2602C2
prime radical#13118145C2
hypercenter#2602D13
hypocenterC13#35062
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2602

Complements

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

NH ≅ G/Ntype
1. C2×D13×#123C2semidirect
2. C2×C4×D4×D13C2semidirect
3. #13123160C2semidirect
4. #13123156C2semidirect
5. #13123131C2semidirect
6. #13123127C2semidirect
7. #13120678C2semidirect
8. #13120676C2semidirect
9. #13120674C2semidirect
10. #13120672C2semidirect
11. #13120450C2semidirect
12. #13120448C2semidirect
13. #13120442C2semidirect
14. #13120187C2semidirect
15. #13120181C2semidirect
16. #13119730C2semidirect
17. #13119724C2semidirect
18. #13119113C2semidirect
19. #13118242C2semidirect
20. #13118240C2semidirect
21. #13118220C2semidirect
22. #13118218C2semidirect
23. #13118158C2semidirect
24. #13118158C2semidirect
26. #13117506C2semidirect
27. #13117500C2semidirect
28. #13117495C2semidirect
29. #13117489C2semidirect
30. #13117217C2semidirect
31. C13×#2602C2semidirect
35. C23×C4×D13C22semidirect
36. C2×C13×#123C22semidirect
37. C2×C4×D4×C13C22semidirect
40. C2×#88189C22semidirect
41. C2×D4×Dic13C22semidirect
42. C2×#88183C22semidirect
44. C2×C4×C22⋊D13C22semidirect
52. C2×C4⋊C4×D13C22semidirect
53. C2×C4⋊C4×D13C22semidirect
54. C2×C4⋊C4×D13C22semidirect
55. C2×#88140C22semidirect
63. C2×#88135C22semidirect
66. C2×C22⋊C4×D13C22semidirect
67. C2×C22⋊C4×D13C22semidirect
68. C2×C22⋊C4×D13C22semidirect
70. C2×#88126C22semidirect
71. C2×#88126C22semidirect
72. C2×C42×D13C22semidirect
73. C13×#397C22semidirect
74. C13×#394C22semidirect
75. C13×#394C22semidirect
77. C13×#390C22semidirect
78. C13×#389C22semidirect
79. C13×#388C22semidirect
80. C13×#388C22semidirect
81. C13×#388C22semidirect
82. C13×#387C22semidirect
83. C13×#386C22semidirect
84. C13×#385C22semidirect
85. C4×C13×C22⋊C4C22semidirect
88. #11718883C22semidirect
89. #11718883C22semidirect
90. #11718883C22semidirect
91. #11718881C22semidirect
92. #11718874C22semidirect
93. #11718871C22semidirect
94. C4×C22⋊Dic13C22semidirect
95. #11718655C22semidirect
96. #11718655C22semidirect
97. #11718651C22semidirect
98. #11718651C22semidirect
99. #11718651C22semidirect
100. #11718650C22semidirect
101. #11718650C22semidirect
102. #11718650C22semidirect
103. #11718650C22semidirect
104. #11718650C22semidirect
105. #11718650C22semidirect
106. #11718642C22semidirect
107. #11718641C22semidirect
108. #11718639C22semidirect
109. #11718633C22semidirect
110. #11718633C22semidirect
111. #11718622C22semidirect
112. #11718622C22semidirect
114. #11718620C22semidirect
115. #11718620C22semidirect
116. #11718620C22semidirect
117. #11718620C22semidirect
118. #11718619C22semidirect
119. #11718618C22semidirect
120. #11718618C22semidirect
125. #11718617C22semidirect
126. #11718617C22semidirect
129. #11718616C22semidirect
130. #11718616C22semidirect
131. #11718616C22semidirect
132. #11718616C22semidirect
133. #11718614C22semidirect
134. #11718613C22semidirect
135. #11718613C22semidirect
136. #11718612C22semidirect
137. #11718611C22semidirect
138. #11718609C22semidirect
139. #11718609C22semidirect
140. #11718609C22semidirect
141. #11718609C22semidirect
142. #11718607C22semidirect
143. #11718606C22semidirect
144. #11718606C22semidirect
145. #11718606C22semidirect
146. #11718605C22semidirect
147. #11718603C22semidirect
148. #11718603C22semidirect
149. #11718601C22semidirect
150. #11718601C22semidirect
151. #11718601C22semidirect
152. #11718600C22semidirect
153. C4×#6103C22semidirect
154. C4×#6103C22semidirect
155. #11718594C22semidirect
156. #11718589C22semidirect
157. #11718337C22semidirect
158. #11718337C22semidirect
159. #11718333C22semidirect
160. #11718331C22semidirect
161. #11718330C22semidirect
162. #11718329C22semidirect
163. #11718329C22semidirect
164. #11718329C22semidirect
165. #11718329C22semidirect
166. #11718329C22semidirect
167. #11718329C22semidirect
168. #11718328C22semidirect
169. #11718328C22semidirect
174. #11718326C22semidirect
175. #11718326C22semidirect
176. #11718325C22semidirect
177. #11718325C22semidirect
178. #11718325C22semidirect
179. #11718325C22semidirect
180. #11718325C22semidirect
181. #11718325C22semidirect
182. #11718322C22semidirect
183. #11718318C22semidirect
184. #11718318C22semidirect
185. #11718316C22semidirect
186. #11718315C22semidirect
187. #11718314C22semidirect
188. #11718313C22semidirect
219. C22×C4×D13D4semidirect
637. #2602D13semidirect
842. C2×#123C2×D13semidirect
855. C2×C4×D4C2×D13semidirect
874. #397C2×D13semidirect
893. #394C2×D13semidirect
894. #394C2×D13semidirect
902. #390C2×D13semidirect
906. #389C2×D13semidirect
920. #388C2×D13semidirect
921. #388C2×D13semidirect
922. #388C2×D13semidirect
930. #387C2×D13semidirect
946. #386C2×D13semidirect
962. #385C2×D13semidirect
982. C4×C22⋊C4C2×D13semidirect
1514. C13#35062semidirect

Maximal subgroups

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

subgroupindex
C2×D13×#1232
C2×C4×D4×D132
#131231602
#131231562
#131231312
#131231272
#131206782
#131206762
#131206742
#131206722
#131204502
#131204482
#131204422
#131201872
#131201812
#131197302
#131197242
#131191132
#131182422
#131182402
#131182202
#131182182
#131181582
#131181452
#131175062
#131175002
#131174952
#131174892
#131172172
C13×#26022
#3506213