Finite Group Databasebeta

← #16069926

Subgroups — #16069926

Order 3328.

2970 conjugacy classes of subgroups.

The subgroup lattice has 1926 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719294C211yesmaximal, characteristic, complemented
2C2×D13×#123C211yesmaximal, characteristic, complemented
3#13123117C211yesmaximal, characteristic, complemented
4#13123115C211yesmaximal, characteristic, complemented
5#13121531C211yesmaximal, characteristic, complemented
6#13121530C211yesmaximal, characteristic, complemented
7#13121529C211yesmaximal, characteristic, complemented
8#13121528C211yesmaximal, characteristic, complemented
9#13121522C211yesmaximal, characteristic, complemented
10#13121520C211yesmaximal, characteristic, complemented
11#13121519C211yesmaximal, characteristic, complemented
12#13121517C211yesmaximal, characteristic, complemented
13#13121168C211yesmaximal, characteristic, complemented
14#13121165C211yesmaximal, characteristic, complemented
15#13121164C211yesmaximal, characteristic, complemented
16#13121161C211yesmaximal, characteristic, complemented
17#13121158C211yesmaximal, characteristic, complemented
18#13121157C211yesmaximal, characteristic, complemented
19#13121154C211yesmaximal, characteristic, complemented
20#13120583C211yesmaximal, characteristic, complemented
21#13120577C211yesmaximal, characteristic, complemented
22#13119765C211yesmaximal, characteristic, complemented
23#13119761C211yesmaximal, characteristic, complemented
24#13119327C211yesmaximal, characteristic, complemented
25#13119323C211yesmaximal, characteristic, complemented
26#13118161C211yesmaximal, characteristic, complemented
27#13118158C211yesmaximal, characteristic, complemented
28#13118147C211yesmaximal, characteristic, complemented
29#13118145C211yesmaximal, characteristic, complemented
30#13117430C211yesmaximal, characteristic, complemented
31C13×#2678C211yesmaximal, characteristic, complemented
32C23×C22⋊D13C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C22×D4×D13C2211yescharacteristic
35C23×C4×D13C2211yescharacteristic, complemented
36C2×C13×#123C2211yescharacteristic, complemented
37C2×C13×#121C2211yescharacteristic, complemented
38C2×C13×#120C2211yescharacteristic, complemented
39C2×C13×#120C2211yescharacteristic, complemented
40C2×#88207C2211yescharacteristic, complemented
41C2×#88207C2211yescharacteristic, complemented
42C2×#88193C2211yescharacteristic, complemented
43C2×#88192C2211yescharacteristic
44C2×#88192C2211yescharacteristic
45C2×#88192C2211yescharacteristic, complemented
46C2×#88191C2211yescharacteristic, complemented
47C2×#88191C2211yescharacteristic, complemented
48C2×#88191C2211yescharacteristic, complemented
49C2×#88191C2211yescharacteristic, complemented
50C2×#88191C2211yescharacteristic, complemented
51C2×#88191C2211yescharacteristic, complemented
52C2×#88189C2211yescharacteristic, complemented
53C2×#88189C2211yescharacteristic, complemented
54C2×#88183C2211yescharacteristic, complemented
55D13×#123—28no—
56#11719294—28no—
57C2×#88148C2211yescharacteristic, complemented
58C2×#88148C2211yescharacteristic, complemented
59C2×#88148C2211yescharacteristic, complemented
60C2×C4⋊C4×D13C2211yescharacteristic, complemented
61C2×C4⋊C4×D13C2211yescharacteristic, complemented
62C2×#88140C2211yescharacteristic, complemented
63C2×#88140C2211yescharacteristic, complemented
64C2×#88138C2211yescharacteristic
65C2×#88138C2211yescharacteristic
66C2×#88138C2211yescharacteristic, complemented
67C2×#88137C2211yescharacteristic, complemented
68C2×#88137C2211yescharacteristic, complemented
69C2×#88137C2211yescharacteristic, complemented
70C2×#88137C2211yescharacteristic, complemented
71C2×#88137C2211yescharacteristic, complemented
72C2×#88137C2211yescharacteristic, complemented
73C2×#88137C2211yescharacteristic, complemented
74C2×#88136C2211yescharacteristic, complemented
75C2×#88136C2211yescharacteristic, complemented
76C2×C22⋊C4×D13C2211yescharacteristic
77C2×C22⋊C4×D13C2211yescharacteristic
78C2×C22⋊C4×D13C2211yescharacteristic, complemented
79C13×#397C2211yescharacteristic, complemented
80C13×#396C2211yescharacteristic, complemented
81C13×#394C2211yescharacteristic, complemented
82C13×#394C2211yescharacteristic, complemented
83C13×#392C2211yescharacteristic
84C13×#392C2211yescharacteristic, complemented
85C13×#390C2211yescharacteristic, complemented
86C13×#390C2211yescharacteristic, complemented
87C13×#388C2211yescharacteristic, complemented
88C13×#386C2211yescharacteristic, complemented
89C13×#379C2211yescharacteristic, complemented
90#11718908C2211yescharacteristic, complemented
91#11718884C2211yescharacteristic
92#11718884C2211yescharacteristic
93#11718884C2211yescharacteristic
94#11718884C2211yescharacteristic
95#11718884C2211yescharacteristic, complemented
96#11718884C2211yescharacteristic, complemented
97#11718883C2211yescharacteristic, complemented
98#11718883C2211yescharacteristic, complemented
99#11718882C2211yescharacteristic, complemented
100#11718882C2211yescharacteristic, complemented
101#11718882C2211yescharacteristic, complemented
102#11718881C2211yescharacteristic, complemented
103#11718881C2211yescharacteristic, complemented
104#11718881C2211yescharacteristic, complemented
105#11718874C2211yescharacteristic, complemented
106#11718873C2211yescharacteristic, complemented
107#11718655C2211yescharacteristic, complemented
108#11718655C2211yescharacteristic, complemented
109#11718654C2211yescharacteristic, complemented
110#11718653C2211yescharacteristic, complemented
111#11718651C2211yescharacteristic, complemented
112#11718650C2211yescharacteristic, complemented
113#11718648C2211yescharacteristic, complemented
114#11718648C2211yescharacteristic, complemented
115#11718645C2211yescharacteristic, complemented
116#11718644C2211yescharacteristic, complemented
117#11718638C2211yescharacteristic, complemented
118#11718622C2211yescharacteristic, complemented
119#11718622C2211yescharacteristic, complemented
120#11718622C2211yescharacteristic, complemented
121#11718622C2211yescharacteristic, complemented
122#11718621C2211yescharacteristic
123#11718621C2211yescharacteristic
124#11718621C2211yescharacteristic
125#11718621C2211yescharacteristic, complemented
126#11718620C2211yescharacteristic, complemented
127#11718620C2211yescharacteristic, complemented
128#11718620C2211yescharacteristic, complemented
129#11718620C2211yescharacteristic, complemented
130#11718619C2211yescharacteristic, complemented
131#11718618C2211yescharacteristic, complemented
132#11718618C2211yescharacteristic, complemented
133#11718618C2211yescharacteristic, complemented
134#11718618C2211yescharacteristic, complemented
135#11718618C2211yescharacteristic, complemented
136#11718618C2211yescharacteristic, complemented
137#11718617C2211yescharacteristic, complemented
138#11718617C2211yescharacteristic, complemented
139#11718617C2211yescharacteristic, complemented
140#11718617C2211yescharacteristic, complemented
141#11718617C2211yescharacteristic, complemented
142#11718617C2211yescharacteristic, complemented
143#11718617C2211yescharacteristic, complemented
144#11718617C2211yescharacteristic, complemented
145#11718617C2211yescharacteristic, complemented
146#11718617C2211yescharacteristic, complemented
147#11718616C2211yescharacteristic
148#11718616C2211yescharacteristic
149#11718616C2211yescharacteristic, complemented
150#11718616C2211yescharacteristic, complemented
151#11718614C2211yescharacteristic, complemented
152#11718613C2211yescharacteristic, complemented
153#11718613C2211yescharacteristic, complemented
154#11718613C2211yescharacteristic, complemented
155#11718613C2211yescharacteristic, complemented
156#11718612C2211yescharacteristic, complemented
157#11718611C2211yescharacteristic, complemented
158#11718610C2211yescharacteristic, complemented
159#11718610C2211yescharacteristic, complemented
160#11718609C2211yescharacteristic, complemented
161#11718609C2211yescharacteristic, complemented
162#11718609C2211yescharacteristic, complemented
163#11718609C2211yescharacteristic, complemented
164#11718609C2211yescharacteristic, complemented
165#11718607C2211yescharacteristic, complemented
166#11718606C2211yescharacteristic, complemented
167#11718605C2211yescharacteristic, complemented
168#11718603C2211yescharacteristic, complemented
169#11718601C2211yescharacteristic, complemented
170#11718600C2211yescharacteristic, complemented
171C4×#6103C2211yescharacteristic, complemented
172#11718597C2211yescharacteristic, complemented
173#11718338C2211yescharacteristic, complemented
174#11718335C2211yescharacteristic, complemented
175#11718331C2211yescharacteristic, complemented
176#11718330C2211yescharacteristic, complemented
177#11718329C2211yescharacteristic, complemented
178#11718328C2211yescharacteristic, complemented
179#11718328C2211yescharacteristic, complemented
180#11718327C2211yescharacteristic, complemented
181#11718326C2211yescharacteristic, complemented
182#11718326C2211yescharacteristic, complemented
183#11718326C2211yescharacteristic, complemented
184#11718326C2211yescharacteristic, complemented
185#11718322C2211yescharacteristic, complemented
186#11718318C2211yescharacteristic, complemented
187#11718311C2211yescharacteristic, complemented
188#11718311C2211yescharacteristic, complemented
189C25×C13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C24×D13C2311yescharacteristic
192C24×D13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C22×D4×C13C2311yescharacteristic
196C22×D4×C13C2311yescharacteristic
197C22×D4×C13C2311yescharacteristic
198C22×D4×C13C2311yescharacteristic
199C22×D4×C13C2311yescharacteristic
200C23×C4×C13C2311yescharacteristic
201C22×C22⋊D13—24no—
202C22×C22⋊D13—42no—
203C22×C22⋊D13—42no—
204C22×C22⋊D13C2311yescharacteristic
205C22×C22⋊D13C2311yescharacteristic
206C22×C22⋊D13C2311yescharacteristic
207C22×C22⋊D13C2311yescharacteristic
208C22×C22⋊D13C2311yescharacteristic
209C22×C22⋊D13C2311yescharacteristic
210C22×C22⋊D13C2311yescharacteristic
211C22×C22⋊D13C2311yescharacteristic
212C22×C22⋊D13C2311yescharacteristic
213C22×C22⋊D13C2311yescharacteristic
214C22×C22⋊D13C2311yescharacteristic
215C22×C22⋊D13C2311yescharacteristic
216C22×C22⋊D13C2311yescharacteristic
217C22×C22⋊D13C2311yescharacteristic
218C23×Dic13C2311yescharacteristic
219C23×Dic13C2311yescharacteristic
220C2×D4×D13—24no—
221C2×D4×D13—24no—
222C2×D4×D13—42no—
223C2×D4×D13—42no—
224C2×D4×D13—42no—
225C2×D4×D13—42no—
226C22×D52C2311yescharacteristic
227C22×D52C2311yescharacteristic
228C22×D52C2311yescharacteristic
229C22×C4×D13—24no—
230C22×C4×D13—42no—
231C22×C4×D13—42no—
232C22×C4×D13C2311yescharacteristic
233C22×C4×D13C2311yescharacteristic
234C22×C4×D13C2311yescharacteristic
235C22×C4×D13C2311yescharacteristic
236C22×C4×D13C2311yescharacteristic
237C22×C4×D13C2311yescharacteristic
238C22×C4×D13C2311yescharacteristic
239C22×C4×D13C2311yescharacteristic
240C13×#123—24no—
241C13×#121—42no—
242C13×#120—24no—
243C13×#120—42no—
244C2×C13×C4⋊C4C2311yescharacteristic
245C2×C13×C4⋊C4C2311yescharacteristic
246C2×C13×C4⋊C4C2311yescharacteristic
247C2×C13×C4⋊C4C2311yescharacteristic
248C2×C13×C22⋊C4C2311yescharacteristic
249C2×C13×C22⋊C4C2311yescharacteristic
250C2×C13×C22⋊C4C2311yescharacteristic
251C2×C13×C22⋊C4C2311yescharacteristic
252C2×C13×C22⋊C4C2311yescharacteristic
253C2×C13×C22⋊C4C2311yescharacteristic
254C2×C13×C22⋊C4C2311yescharacteristic
255C2×C13×C22⋊C4C2311yescharacteristic
256C2×C13×C22⋊C4C2311yescharacteristic
257C2×C13×C22⋊C4C2311yescharacteristic
258C2×C13×C22⋊C4C2311yescharacteristic
259C2×C13×C22⋊C4C2311yescharacteristic
260C2×C13×C22⋊C4C2311yescharacteristic
261C2×C13×C22⋊C4C2311yescharacteristic
262C2×C13×C22⋊C4C2311yescharacteristic
263C2×C13×C22⋊C4C2311yescharacteristic
264C2×C13×C22⋊C4C2311yescharacteristic
265C2×C42×C13C2311yescharacteristic
266#88207—24no—
267#88207—42no—
268C2×C22⋊Dic13C2311yescharacteristic
269C2×C22⋊Dic13C2311yescharacteristic
270C2×C22⋊Dic13C2311yescharacteristic
271C2×C22⋊Dic13C2311yescharacteristic
272C2×C22⋊Dic13C2311yescharacteristic
273C2×C22⋊Dic13C2311yescharacteristic
274C2×C22⋊Dic13C2311yescharacteristic
275C2×C22⋊Dic13C2311yescharacteristic
276C2×C22⋊Dic13C2311yescharacteristic
277C2×C22⋊Dic13C2311yescharacteristic
278C2×C22⋊Dic13C2311yescharacteristic
279C2×C22⋊Dic13C2311yescharacteristic
280C2×C22⋊Dic13C2311yescharacteristic
281C2×C22⋊Dic13C2311yescharacteristic
282C2×C22⋊Dic13C2311yescharacteristic
283C2×C22⋊Dic13C2311yescharacteristic
284C2×C22⋊Dic13C2311yescharacteristic
285C2×C22⋊Dic13C2311yescharacteristic
286C2×C22⋊Dic13C2311yescharacteristic
287C2×C22⋊Dic13C2311yescharacteristic
288C2×C22⋊Dic13C2311yescharacteristic
289#88193—42no—
290#88192—24no—
291#88192—24no—
292#88192—42no—
293#88191—24no—
294#88191—24no—
295#88191—42no—
296#88191—42no—
297#88191—42no—
298#88191—42no—
299#88189—24no—
300#88189—24no—
301#88183—24no—
302C2×#6103C2311yescharacteristic
303C2×#6103C2311yescharacteristic
304C2×#6103C2311yescharacteristic
305C2×#6103C2311yescharacteristic
306C2×#6103C2311yescharacteristic
307C2×#6103C2311yescharacteristic
308C2×#6103C2311yescharacteristic
309C2×#6103C2311yescharacteristic
310C2×#6103C2311yescharacteristic
311C2×#6103C2311yescharacteristic
312C2×#6103C2311yescharacteristic
313C2×#6103C2311yescharacteristic
314C2×#6103C2311yescharacteristic
315C2×#6103C2311yescharacteristic
316C2×#6103C2311yescharacteristic
317C2×#6103C2311yescharacteristic
318C2×#6103C2311yescharacteristic
319C2×#6103C2311yescharacteristic
320C2×#6103C2311yescharacteristic
321C2×#6103C2311yescharacteristic
322C2×#6103C2311yescharacteristic
323C2×#6103C2311yescharacteristic
324C2×#6103C2311yescharacteristic
325C2×#6103C2311yescharacteristic
326C2×#6103C2311yescharacteristic
327C2×#6103C2311yescharacteristic
328C2×C4⋊Dic13C2311yescharacteristic
329C2×C4⋊Dic13C2311yescharacteristic
330C2×C4⋊Dic13C2311yescharacteristic
331C2×C4⋊Dic13C2311yescharacteristic
332C2×C4⋊Dic13C2311yescharacteristic
333C2×C4⋊Dic13C2311yescharacteristic
334C2×C4⋊Dic13C2311yescharacteristic
335C2×C4⋊Dic13C2311yescharacteristic
336C2×#6101C2311yescharacteristic
337C2×#6101C2311yescharacteristic
338C2×#6101C2311yescharacteristic
339C2×#6101C2311yescharacteristic
340C2×#6101C2311yescharacteristic
341C2×#6101C2311yescharacteristic
342C2×#6101C2311yescharacteristic
343C2×#6101C2311yescharacteristic
344C2×#6101C2311yescharacteristic
345C2×#6101C2311yescharacteristic
346C2×#6101C2311yescharacteristic
347C2×#6101C2311yescharacteristic
348C2×C4×Dic13C2311yescharacteristic
349C2×C4×Dic13C2311yescharacteristic
350C2×C4×Dic13C2311yescharacteristic
351#88148—24no—
352#88148—24no—
353#88148—42no—
354C4⋊C4×D13—24no—
355C4⋊C4×D13—24no—
356#88140—24no—
357#88140—24no—
358#88138—24no—
359#88138—24no—
360#88138—42no—
361#88137—24no—
362#88137—24no—
363#88137—24no—
364#88137—24no—
365#88137—42no—
366#88137—42no—
367#88137—42no—
368#88136—42no—
369#88136—42no—
370C22⋊C4×D13—24no—
371C22⋊C4×D13—24no—
372C22⋊C4×D13D418yescomplemented
373C13×#95C2311yescharacteristic
374C13×#95C2311yescharacteristic
375C13×#95C2311yescharacteristic
376C13×#95C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#88071C2311yescharacteristic
392#88071C2311yescharacteristic
393#88071C2311yescharacteristic
394#88071C2311yescharacteristic
395#88071C2311yescharacteristic
396#88071C2311yescharacteristic
397#36721—131nomaximal, Sylow
398C24×C13—22no—
399C24×C13—41no—
400C24×C13—41no—
401C24×C13—41no—
402C24×C13—41no—
403C24×C13—41no—
404C24×C13—41no—
405C24×C13C2411yescharacteristic
406C24×C13C2411yescharacteristic
407C24×C13C2411yescharacteristic
408C24×C13C2411yescharacteristic
409C24×C13C2411yescharacteristic
410C23×D13—22no—
411C23×D13—22no—
412C23×D13—22no—
413C23×D13—22no—
414C23×D13—22no—
415C23×D13—22no—
416C23×D13—22no—
417C23×D13—22no—
418C23×D13—41no—
419C23×D13—41no—
420C23×D13—41no—
421C23×D13—41no—
422C23×D13—41no—
423C23×D13—41no—
424C23×D13—41no—
425C23×D13—41no—
426C23×D13—41no—
427C23×D13—41no—
428C23×D13—41no—
429C23×D13—41no—
430C23×D13C2×D414yes—
431C23×D13C2411yescharacteristic
432C23×D13C2411yescharacteristic
433C23×D13C2411yescharacteristic
434C23×D13C2411yescharacteristic
435C2×D4×C13—22no—
436C2×D4×C13—22no—
437C2×D4×C13—22no—
438C2×D4×C13—22no—
439C2×D4×C13—22no—
440C2×D4×C13—22no—
441C2×D4×C13—22no—
442C2×D4×C13—22no—
443C2×D4×C13—41no—
444C2×D4×C13—41no—
445C2×D4×C13—41no—
446C2×D4×C13—41no—
447C2×D4×C13—41no—
448C2×D4×C13—41no—
449C2×D4×C13—41no—
450C2×D4×C13—41no—
451C2×D4×C13—41no—
452C2×D4×C13—41no—
453C2×D4×C13—41no—
454C2×D4×C13—41no—
455C2×D4×C13—41no—
456C22×C4×C13—22no—
457C22×C4×C13—22no—
458C22×C4×C13—41no—
459C22×C4×C13C2411yescharacteristic
460C22×C4×C13C2411yescharacteristic
461C22×C4×C13C2411yescharacteristic
462C22×C4×C13C2411yescharacteristic
463C22×C4×C13C2411yescharacteristic
464C22×C4×C13C2411yescharacteristic
465C22×C4×C13C2411yescharacteristic
466C22×C4×C13C2411yescharacteristic
467C22×C4×C13C2411yescharacteristic
468C22×C4×C13C2411yescharacteristic
469C2×C22⋊D13—22no—
470C2×C22⋊D13—22no—
471C2×C22⋊D13—22no—
472C2×C22⋊D13—22no—
473C2×C22⋊D13—22no—
474C2×C22⋊D13—22no—
475C2×C22⋊D13—22no—
476C2×C22⋊D13—22no—
477C2×C22⋊D13—22no—
478C2×C22⋊D13—22no—
479C2×C22⋊D13—22no—
480C2×C22⋊D13—22no—
481C2×C22⋊D13—22no—
482C2×C22⋊D13—22no—
483C2×C22⋊D13—22no—
484C2×C22⋊D13—22no—
485C2×C22⋊D13—22no—
486C2×C22⋊D13—22no—
487C2×C22⋊D13—22no—
488C2×C22⋊D13—22no—
489C2×C22⋊D13—22no—
490C2×C22⋊D13—22no—
491C2×C22⋊D13—41no—
492C2×C22⋊D13—41no—
493C2×C22⋊D13—41no—
494C2×C22⋊D13—41no—
495C2×C22⋊D13—41no—
496C2×C22⋊D13—41no—
497C2×C22⋊D13—41no—
498C2×C22⋊D13—41no—
499C2×C22⋊D13—41no—
500C2×C22⋊D13—41no—
501C2×C22⋊D13—41no—
502C2×C22⋊D13—41no—
503C2×C22⋊D13—41no—
504C2×C22⋊D13—41no—
505C2×C22⋊D13—41no—
506C2×C22⋊D13—41no—
507C2×C22⋊D13—41no—
508C2×C22⋊D13—41no—
509C2×C22⋊D13—41no—
510C2×C22⋊D13—41no—
511C2×C22⋊D13—416no—
512C22×Dic13—22no—
513C22×Dic13—22no—
514C22×Dic13—22no—
515C22×Dic13—41no—
516C22×Dic13—41no—
517C22×Dic13—41no—
518C22×Dic13C2411yescharacteristic
519C22×Dic13C2411yescharacteristic
520C22×Dic13C2411yescharacteristic
521C22×Dic13C2411yescharacteristic
522C22×Dic13C2411yescharacteristic
523C22×Dic13C2411yescharacteristic
524C22×Dic13C2411yescharacteristic
525C22×Dic13C2411yescharacteristic
526C22×Dic13C2411yescharacteristic
527C22×Dic13C2411yescharacteristic
528C22×Dic13C2411yescharacteristic
529C22×Dic13C2411yescharacteristic
530D4×D13—416no—
531D4×D13—416no—
532C2×D52—22no—
533C2×D52—22no—
534C2×D52—22no—
535C2×D52—22no—
536C2×D52—22no—
537C2×D52—22no—
538C2×D52—41no—
539C2×D52—41no—
540C2×D52—41no—
541C2×C4×D13—22no—
542C2×C4×D13—22no—
543C2×C4×D13—22no—
544C2×C4×D13—22no—
545C2×C4×D13—22no—
546C2×C4×D13—22no—
547C2×C4×D13—22no—
548C2×C4×D13—22no—
549C2×C4×D13—22no—
550C2×C4×D13—22no—
551C2×C4×D13—41no—
552C2×C4×D13—41no—
553C2×C4×D13—41no—
554C2×C4×D13—41no—
555C2×C4×D13—41no—
556C2×C4×D13—41no—
557C2×C4×D13—41no—
558C2×C4×D13—41no—
559C2×C4×D13—41no—
560C2×C4×D13—41no—
561C2×C4×D13—41no—
562C2×C4×D13—41no—
563C2×C4×D13—416no—
564C2×C4×D13C2×D414yes—
565C2×C4×D13C2×D414yes—
566C13×C4⋊C4—22no—
567C13×C4⋊C4—22no—
568C13×C4⋊C4—41no—
569C13×C4⋊C4—41no—
570C13×C22⋊C4—22no—
571C13×C22⋊C4—22no—
572C13×C22⋊C4—22no—
573C13×C22⋊C4—22no—
574C13×C22⋊C4—41no—
575C13×C22⋊C4—41no—
576C13×C22⋊C4—41no—
577C13×C22⋊C4—41no—
578C13×C22⋊C4—41no—
579C13×C22⋊C4—41no—
580C13×C22⋊C4—41no—
581C13×C22⋊C4—41no—
582C13×C22⋊C4—41no—
583C13×C22⋊C4—41no—
584C13×C22⋊C4—41no—
585C13×C22⋊C4—41no—
586C13×C22⋊C4C2×D414yes—
587C42×C13—41no—
588C22⋊Dic13—22no—
589C22⋊Dic13—22no—
590C22⋊Dic13—22no—
591C22⋊Dic13—22no—
592C22⋊Dic13—22no—
593C22⋊Dic13—22no—
594C22⋊Dic13—41no—
595C22⋊Dic13—41no—
596C22⋊Dic13—41no—
597C22⋊Dic13—41no—
598C22⋊Dic13—41no—
599C22⋊Dic13—41no—
600C22⋊Dic13—41no—
601C22⋊Dic13—41no—
602C22⋊Dic13—41no—
603C22⋊Dic13—41no—
604C22⋊Dic13—41no—
605C22⋊Dic13—41no—
606C22⋊Dic13—41no—
607C22⋊Dic13—41no—
608C22⋊Dic13C2×D414yes—
609#6103—22no—
610#6103—22no—
611#6103—22no—
612#6103—22no—
613#6103—22no—
614#6103—22no—
615#6103—22no—
616#6103—22no—
617#6103—22no—
618#6103—22no—
619#6103—41no—
620#6103—41no—
621#6103—41no—
622#6103—41no—
623#6103—41no—
624#6103—41no—
625#6103—41no—
626#6103—41no—
627#6103—41no—
628#6103—41no—
629#6103—41no—
630#6103—41no—
631#6103—41no—
632#6103—41no—
633#6103C2×D414yes—
634#6103C2×D414yes—
635C4⋊Dic13—22no—
636C4⋊Dic13—22no—
637C4⋊Dic13—22no—
638C4⋊Dic13—22no—
639C4⋊Dic13—41no—
640C4⋊Dic13—41no—
641C4⋊Dic13—41no—
642C4⋊Dic13—41no—
643#6101—22no—
644#6101—22no—
645#6101—22no—
646#6101—22no—
647#6101—22no—
648#6101—22no—
649#6101—41no—
650#6101—41no—
651#6101—41no—
652#6101—41no—
653#6101—41no—
654#6101—41no—
655C4×Dic13—41no—
656C4×Dic13—41no—
657C4×Dic13—41no—
658C2×#534—131no—
659C22×#123—131no—
660#2847—131no—
661#2847—131no—
662#2706—131no—
663#2706—131no—
664#2706—131no—
665#2706—131no—
666#2706—131no—
667#2706—131no—
668#2706—131no—
669#2706—131no—
670#2678—131no—
671#2678—131no—
672#2678—131no—
673#2678—131no—
674#2678—131no—
675#2678—131no—
676#2678—131no—
677#2678D1311yescharacteristic, complemented
678#2618—131no—
679#2618—131no—
680#2539—131no—
681#2539—131no—
682#2504—131no—
683#2504—131no—
684#2405—131no—
685#2405—131no—
686#2403—131no—
687#2403—131no—
688#2312—131no—
689C23×C13—21no—
690C23×C13—21no—
691C23×C13—21no—
692C23×C13—21no—
693C23×C13—21no—
694C23×C13—21no—
695C23×C13—21no—
696C23×C13—21no—
697C23×C13—21no—
698C23×C13—21no—
699C23×C13—21no—
700C23×C13—21no—
701C23×C13—21no—
702C23×C13—21no—
703C23×C13—21no—
704C23×C13—21no—
705C23×C13—21no—
706C23×C13—21no—
707C23×C13—21no—
708C23×C13—21no—
709C23×C13—21no—
710C23×C13—21no—
711C23×C13—21no—
712C23×C13—21no—
713C23×C13—21no—
714C23×C13—21no—
715C23×C13—21no—
716C23×C13—21no—
717C23×C13—21no—
718C23×C13—21no—
719C23×C13—21no—
720C23×C13—21no—
721C23×C13—21no—
722C23×C13—44no—
723C23×C13—82no—
724C23×C13—82no—
725C23×C13—82no—
726C23×C13—82no—
727C23×C13—82no—
728C23×C13—82no—
729C23×C13C22×D412yes—
730C23×C13H(5,𝔽2)12yes—
731C23×C13C2511yescharacteristic
732C22×D13—21no—
733C22×D13—21no—
734C22×D13—21no—
735C22×D13—21no—
736C22×D13—28no—
737C22×D13—21no—
738C22×D13—21no—
739C22×D13—21no—
740C22×D13—21no—
741C22×D13—21no—
742C22×D13—21no—
743C22×D13—21no—
744C22×D13—21no—
745C22×D13—21no—
746C22×D13—21no—
747C22×D13—21no—
748C22×D13—21no—
749C22×D13—28no—
750C22×D13—21no—
751C22×D13—21no—
752C22×D13—21no—
753C22×D13—21no—
754C22×D13—21no—
755C22×D13—21no—
756C22×D13—21no—
757C22×D13—44no—
758C22×D13—44no—
759C22×D13—44no—
760C22×D13—44no—
761C22×D13—44no—
762C22×D13—44no—
763C22×D13—44no—
764C22×D13—44no—
765C22×D13—44no—
766C22×D13—82no—
767C22×D13—82no—
768C22×D13—82no—
769C22×D13—82no—
770C22×D13—82no—
771C22×D13—82no—
772C22×D13—82no—
773C22×D13—82no—
774C22×D13—82no—
775C22×D13—82no—
776C22×D13C22×D412yes—
777C22×D13C22×D412yes—
778C22×D13H(5,𝔽2)12yes—
779C22×D13H(5,𝔽2)12yes—
780C22×D13H(5,𝔽2)12yes—
781D4×C13—44no—
782D4×C13—44no—
783D4×C13—82no—
784D4×C13—82no—
785D4×C13—82no—
786D4×C13—82no—
787D4×C13—82no—
788C2×C4×C13—21no—
789C2×C4×C13—21no—
790C2×C4×C13—21no—
791C2×C4×C13—21no—
792C2×C4×C13—21no—
793C2×C4×C13—21no—
794C2×C4×C13—21no—
795C2×C4×C13—21no—
796C2×C4×C13—21no—
797C2×C4×C13—21no—
798C2×C4×C13—21no—
799C2×C4×C13—21no—
800C2×C4×C13—21no—
801C2×C4×C13—21no—
802C2×C4×C13—21no—
803C2×C4×C13—21no—
804C2×C4×C13—21no—
805C2×C4×C13—21no—
806C2×C4×C13—21no—
807C2×C4×C13—21no—
808C2×C4×C13—21no—
809C2×C4×C13—21no—
810C2×C4×C13—21no—
811C2×C4×C13—21no—
812C2×C4×C13—21no—
813C2×C4×C13—21no—
814C2×C4×C13—21no—
815C2×C4×C13—21no—
816C2×C4×C13—44no—
817C2×C4×C13C22×D412yes—
818C2×C4×C13C22×D412yes—
819C22⋊D13—44no—
820C22⋊D13—44no—
821C22⋊D13—44no—
822C22⋊D13—44no—
823C22⋊D13—44no—
824C22⋊D13—44no—
825C22⋊D13—44no—
826C22⋊D13—44no—
827C22⋊D13—82no—
828C22⋊D13—82no—
829C22⋊D13—82no—
830C22⋊D13—82no—
831C22⋊D13—82no—
832C22⋊D13—82no—
833C2×Dic13—21no—
834C2×Dic13—21no—
835C2×Dic13—21no—
836C2×Dic13—21no—
837C2×Dic13—21no—
838C2×Dic13—21no—
839C2×Dic13—21no—
840C2×Dic13—21no—
841C2×Dic13—21no—
842C2×Dic13—21no—
843C2×Dic13—21no—
844C2×Dic13—21no—
845C2×Dic13—21no—
846C2×Dic13—21no—
847C2×Dic13—21no—
848C2×Dic13—21no—
849C2×Dic13—21no—
850C2×Dic13—21no—
851C2×Dic13—21no—
852C2×Dic13—21no—
853C2×Dic13—21no—
854C2×Dic13—21no—
855C2×Dic13—21no—
856C2×Dic13—21no—
857C2×Dic13—21no—
858C2×Dic13—21no—
859C2×Dic13—21no—
860C2×Dic13—21no—
861C2×Dic13—21no—
862C2×Dic13—21no—
863C2×Dic13—21no—
864C2×Dic13—21no—
865C2×Dic13—21no—
866C2×Dic13—21no—
867C2×Dic13—44no—
868C2×Dic13—44no—
869C2×Dic13C22×D412yes—
870C2×Dic13C22×D412yes—
871D52—44no—
872D52—44no—
873D52—82no—
874C4×D13—44no—
875C4×D13—44no—
876C4×D13—44no—
877C4×D13—44no—
878C4×D13—44no—
879C4×D13—44no—
880C4×D13—44no—
881C4×D13—44no—
882C23×D4—131no—
883C23×D4—131no—
884C23×D4—131no—
885C24×C4—131no—
886#534—268no—
887C2×#123—131no—
888C2×#123—131no—
889C2×#123—131no—
890C2×#123—131no—
891C2×#123—131no—
892C2×#123—131no—
893C2×#123—131no—
894C2×#123—131no—
895C2×#123—131no—
896C2×#123—131no—
897C2×#123—131no—
898C2×#123—131no—
899C2×#123—131no—
900C2×#123—131no—
901C2×#123—131no—
902C2×#123—268no—
903C2×#123C2×D1311yescharacteristic, complemented
904C2×#121—131no—
905C2×#121—131no—
906C2×#121—131no—
907C2×#121—131no—
908C2×#121—131no—
909C2×#121—131no—
910C2×#121—131no—
911C2×#121C2×D1311yescharacteristic, complemented
912C2×#120—131no—
913C2×#120—131no—
914C2×#120—131no—
915C2×#120—131no—
916C2×#120—131no—
917C2×#120—131no—
918C2×#120—131no—
919C2×#120—131no—
920C2×#120—131no—
921C2×#120—131no—
922C2×#120C2×D1311yescharacteristic, complemented
923C2×#120C2×D1311yescharacteristic, complemented
924C22×C4⋊C4—131no—
925C22×C4⋊C4—131no—
926C22×C22⋊C4—131no—
927C22×C22⋊C4—131no—
928C22×C22⋊C4—131no—
929#399—131no—
930#399—131no—
931#399—131no—
932#399—131no—
933#398—131no—
934#398—131no—
935#398—131no—
936#398—131no—
937#397—131no—
938#397—131no—
939#397—131no—
940#397—131no—
941#397—131no—
942#397—131no—
943#397—131no—
944#397C2×D1311yescharacteristic, complemented
945#396—131no—
946#396—131no—
947#396—131no—
948#396—131no—
949#396—131no—
950#396—131no—
951#396—131no—
952#396C2×D1311yescharacteristic, complemented
953#394—131no—
954#394—131no—
955#394—131no—
956#394—131no—
957#394—131no—
958#394—131no—
959#394—131no—
960#394—131no—
961#394—131no—
962#394—131no—
963#394C2×D1311yescharacteristic, complemented
964#394C2×D1311yescharacteristic, complemented
965#392—131no—
966#392—131no—
967#392—131no—
968#392—131no—
969#392—131no—
970#392—131no—
971#392—131no—
972#392—131no—
973#392—131no—
974#392—131no—
975#392C2×D1311yescharacteristic
976#392C2×D1311yescharacteristic, complemented
977#390—131no—
978#390—131no—
979#390—131no—
980#390—131no—
981#390—131no—
982#390—131no—
983#390—131no—
984#390—131no—
985#390—131no—
986#390—131no—
987#390C2×D1311yescharacteristic, complemented
988#390C2×D1311yescharacteristic, complemented
989#388—131no—
990#388—131no—
991#388—131no—
992#388—131no—
993#388—131no—
994#388—131no—
995#388—131no—
996#388C2×D1311yescharacteristic, complemented
997#386—131no—
998#386—131no—
999#386—131no—
1000#386—131no—
1001#386—131no—
1002#386—131no—
1003#386—131no—
1004#386—131no—
1005#386—131no—
1006#386—131no—
1007#386—131no—
1008#386—131no—
1009#386—131no—
1010#386—131no—
1011#386—131no—
1012#386—131no—
1013#386—131no—
1014#386—131no—
1015#386—131no—
1016#386C2×D1311yescharacteristic, complemented
1017#385—131no—
1018#385—131no—
1019#385—131no—
1020#385—131no—
1021#382—131no—
1022#382—131no—
1023#382—131no—
1024#382—131no—
1025#380—131no—
1026#380—131no—
1027#380—131no—
1028#380—131no—
1029#380—131no—
1030#380—131no—
1031#379—131no—
1032#379—131no—
1033#379—131no—
1034#379—131no—
1035#379—131no—
1036#379C2×D1311yescharacteristic, complemented
1037C4×C22⋊C4—131no—
1038C4×C22⋊C4—131no—
1039C22×C13—22no—
1040C22×C13—22no—
1041C22×C13—22no—
1042C22×C13—22no—
1043C22×C13—22no—
1044C22×C13—22no—
1045C22×C13—41no—
1046C22×C13—41no—
1047C22×C13—41no—
1048C22×C13—41no—
1049C22×C13—41no—
1050C22×C13—41no—
1051C22×C13—41no—
1052C22×C13—41no—
1053C22×C13—41no—
1054C22×C13—41no—
1055C22×C13—41no—
1056C22×C13—41no—
1057C22×C13—41no—
1058C22×C13—41no—
1059C22×C13—41no—
1060C22×C13—41no—
1061C22×C13—41no—
1062C22×C13—41no—
1063C22×C13—41no—
1064C22×C13—41no—
1065C22×C13—41no—
1066C22×C13—41no—
1067C22×C13—41no—
1068C22×C13—41no—
1069C22×C13—41no—
1070C22×C13—41no—
1071C22×C13—41no—
1072C22×C13—41no—
1073C22×C13—41no—
1074C22×C13—88no—
1075C22×C13C23×D411yescharacteristic
1076C22×C13C2×H(5,𝔽2)11yescharacteristic
1077C22×C13C2×H(5,𝔽2)11yescharacteristic
1078C22×C13C2×H(5,𝔽2)11yescharacteristic
1079C22×C13C2×H(5,𝔽2)11yescharacteristic
1080C22×C13#58511yescharacteristic
1081C22×C13#58511yescharacteristic
1082C2×D13—22no—
1083C2×D13—22no—
1084C2×D13—22no—
1085C2×D13—22no—
1086C2×D13—22no—
1087C2×D13—22no—
1088C2×D13—22no—
1089C2×D13—22no—
1090C2×D13—22no—
1091C2×D13—22no—
1092C2×D13—22no—
1093C2×D13—22no—
1094C2×D13—416no—
1095C2×D13—41no—
1096C2×D13—41no—
1097C2×D13—41no—
1098C2×D13—41no—
1099C2×D13—41no—
1100C2×D13—41no—
1101C2×D13—41no—
1102C2×D13—41no—
1103C2×D13—41no—
1104C2×D13—41no—
1105C2×D13—41no—
1106C2×D13—41no—
1107C2×D13—41no—
1108C2×D13—41no—
1109C2×D13—41no—
1110C2×D13—88no—
1111C2×D13—88no—
1112C2×D13#53514yes—
1113C4×C13—22no—
1114C4×C13—22no—
1115C4×C13—41no—
1116C4×C13—41no—
1117C4×C13—41no—
1118C4×C13—41no—
1119C4×C13—41no—
1120C4×C13—41no—
1121C4×C13—41no—
1122C4×C13—41no—
1123Dic13—22no—
1124Dic13—22no—
1125Dic13—41no—
1126Dic13—41no—
1127Dic13—41no—
1128Dic13—41no—
1129Dic13—41no—
1130Dic13—41no—
1131Dic13—41no—
1132Dic13—41no—
1133Dic13—41no—
1134Dic13—41no—
1135C25—131no—
1136C25—131no—
1137C25—131no—
1138C25C22×D1311yescharacteristic
1139C22×D4—131no—
1140C22×D4—131no—
1141C22×D4—131no—
1142C22×D4—131no—
1143C22×D4—131no—
1144C22×D4—131no—
1145C22×D4—131no—
1146C22×D4—131no—
1147C22×D4—131no—
1148C22×D4—131no—
1149C22×D4—131no—
1150C22×D4—131no—
1151C22×D4—131no—
1152C22×D4—131no—
1153C22×D4—131no—
1154C22×D4—131no—
1155C22×D4—131no—
1156C22×D4—264no—
1157C22×D4—264no—
1158C22×D4—264no—
1159C22×D4—522no—
1160C22×D4—522no—
1161C22×D4—522no—
1162C22×D4—522no—
1163C22×D4—522no—
1164C22×D4—522no—
1165C22×D4C22×D1311yescharacteristic
1166C22×D4C22×D1311yescharacteristic
1167C22×D4C22×D1311yescharacteristic
1168C22×D4C22×D1311yescharacteristic
1169C22×D4C22×D1311yescharacteristic
1170C22×D4C22×D1311yescharacteristic
1171C22×D4C22×D1311yescharacteristic
1172C23×C4—131no—
1173C23×C4—131no—
1174C23×C4—131no—
1175C23×C4—131no—
1176C23×C4—131no—
1177C23×C4—131no—
1178C23×C4—131no—
1179C23×C4—131no—
1180C23×C4—131no—
1181C23×C4—131no—
1182C23×C4—264no—
1183C23×C4—522no—
1184C23×C4—522no—
1185C23×C4C22×D1311yescharacteristic
1186#123—24no—
1187#123—264no—
1188#123—264no—
1189#123—264no—
1190#123—264no—
1191#123—264no—
1192#123—264no—
1193#123—264no—
1194#123—264no—
1195#123—264no—
1196#123—264no—
1197#123—264no—
1198#123—522no—
1199#123—522no—
1200#123—522no—
1201#123—522no—
1202#121—42no—
1203#121—264no—
1204#121—264no—
1205#121—264no—
1206#121—264no—
1207#121—522no—
1208#121—522no—
1209#121—522no—
1210#120—24no—
1211#120—42no—
1212#120—264no—
1213#120—264no—
1214#120—264no—
1215#120—522no—
1216#120—522no—
1217#120—522no—
1218#120—522no—
1219#120—522no—
1220#120—522no—
1221#120—522no—
1222C2×C4⋊C4—131no—
1223C2×C4⋊C4—131no—
1224C2×C4⋊C4—131no—
1225C2×C4⋊C4—131no—
1226C2×C4⋊C4—131no—
1227C2×C4⋊C4—131no—
1228C2×C4⋊C4—131no—
1229C2×C4⋊C4—131no—
1230C2×C4⋊C4—131no—
1231C2×C4⋊C4—131no—
1232C2×C4⋊C4—131no—
1233C2×C4⋊C4—131no—
1234C2×C4⋊C4—131no—
1235C2×C4⋊C4—131no—
1236C2×C4⋊C4—131no—
1237C2×C4⋊C4—131no—
1238C2×C4⋊C4—131no—
1239C2×C4⋊C4—131no—
1240C2×C4⋊C4—131no—
1241C2×C4⋊C4—131no—
1242C2×C4⋊C4—264no—
1243C2×C4⋊C4—264no—
1244C2×C4⋊C4C22×D1311yescharacteristic
1245C2×C4⋊C4C22×D1311yescharacteristic
1246C2×C4⋊C4C22×D1311yescharacteristic
1247C2×C4⋊C4C22×D1311yescharacteristic
1248C2×C22⋊C4—131no—
1249C2×C22⋊C4—131no—
1250C2×C22⋊C4—131no—
1251C2×C22⋊C4—138no—
1252C2×C22⋊C4—131no—
1253C2×C22⋊C4—131no—
1254C2×C22⋊C4—131no—
1255C2×C22⋊C4—131no—
1256C2×C22⋊C4—131no—
1257C2×C22⋊C4—131no—
1258C2×C22⋊C4—131no—
1259C2×C22⋊C4—131no—
1260C2×C22⋊C4—131no—
1261C2×C22⋊C4—131no—
1262C2×C22⋊C4—131no—
1263C2×C22⋊C4—131no—
1264C2×C22⋊C4—131no—
1265C2×C22⋊C4—131no—
1266C2×C22⋊C4—131no—
1267C2×C22⋊C4—131no—
1268C2×C22⋊C4—131no—
1269C2×C22⋊C4—131no—
1270C2×C22⋊C4—131no—
1271C2×C22⋊C4—131no—
1272C2×C22⋊C4—131no—
1273C2×C22⋊C4—131no—
1274C2×C22⋊C4—131no—
1275C2×C22⋊C4—131no—
1276C2×C22⋊C4—131no—
1277C2×C22⋊C4—131no—
1278C2×C22⋊C4—131no—
1279C2×C22⋊C4—131no—
1280C2×C22⋊C4—131no—
1281C2×C22⋊C4—131no—
1282C2×C22⋊C4—131no—
1283C2×C22⋊C4—131no—
1284C2×C22⋊C4—131no—
1285C2×C22⋊C4—131no—
1286C2×C22⋊C4—131no—
1287C2×C22⋊C4—131no—
1288C2×C22⋊C4—131no—
1289C2×C22⋊C4—131no—
1290C2×C22⋊C4—131no—
1291C2×C22⋊C4—131no—
1292C2×C22⋊C4—131no—
1293C2×C22⋊C4—131no—
1294C2×C22⋊C4—131no—
1295C2×C22⋊C4—131no—
1296C2×C22⋊C4—264no—
1297C2×C22⋊C4—264no—
1298C2×C22⋊C4C22×D1311yescharacteristic
1299C2×C22⋊C4C22×D1311yescharacteristic
1300C2×C22⋊C4C22×D1311yescharacteristic
1301C2×C22⋊C4C22×D1311yescharacteristic
1302C2×C22⋊C4C22×D1311yescharacteristic
1303C2×C22⋊C4C22×D1311yescharacteristic
1304C2×C22⋊C4C22×D1311yescharacteristic
1305C2×C22⋊C4C22×D1311yescharacteristic
1306C2×C22⋊C4C22×D1311yescharacteristic
1307C2×C22⋊C4C22×D1311yescharacteristic
1308C2×C22⋊C4C22×D1311yescharacteristic
1309C2×C22⋊C4C22×D1311yescharacteristic
1310C2×C22⋊C4C22×D1311yescharacteristic
1311C2×C22⋊C4C22×D1311yescharacteristic
1312C2×C22⋊C4C22×D1311yescharacteristic
1313C2×C22⋊C4C22×D1311yescharacteristic
1314C2×C22⋊C4C22×D1311yescharacteristic
1315C2×C42—131no—
1316C2×C42—131no—
1317C2×C42—131no—
1318C2×C42C22×D1311yescharacteristic
1319#95—131no—
1320#95—131no—
1321#95—131no—
1322#95—131no—
1323#95—131no—
1324#95—131no—
1325#95—131no—
1326#95—131no—
1327#95—131no—
1328#95—131no—
1329#95—131no—
1330#95—131no—
1331#95—131no—
1332#95—131no—
1333#95—131no—
1334#95—131no—
1335#95—131no—
1336#95—131no—
1337#95—131no—
1338#95—131no—
1339#95C22×D1311yescharacteristic
1340#95C22×D1311yescharacteristic
1341#95C22×D1311yescharacteristic
1342#95C22×D1311yescharacteristic
1343C2×C13—42no—
1344C2×C13—42no—
1345C2×C13—81no—
1346C2×C13—81no—
1347C2×C13—81no—
1348C2×C13C2×#53511yescharacteristic
1349C2×C13#348411yescharacteristic
1350C2×C13#348511yescharacteristic
1351C2×C13#353411yescharacteristic
1352C2×C13#353411yescharacteristic
1353C2×C13#353411yescharacteristic
1354C2×C13#353411yescharacteristic
1355D13—24no—
1356D13—42no—
1357D13—42no—
1358D13—81no—
1359C24—22no—
1360C24—41no—
1361C24—41no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—41no—
1366C24—131no—
1367C24—131no—
1368C24—131no—
1369C24—134no—
1370C24—131no—
1371C24—262no—
1372C24—262no—
1373C24—262no—
1374C24—262no—
1375C24—262no—
1376C24—262no—
1377C24—262no—
1378C24—262no—
1379C24—521no—
1380C24—521no—
1381C24—521no—
1382C24—521no—
1383C24—521no—
1384C24—521no—
1385C24—521no—
1386C24—521no—
1387C24—521no—
1388C24—521no—
1389C24—521no—
1390C24—521no—
1391C24C23×D1311yescharacteristic
1392C24C23×D1311yescharacteristic
1393C24C23×D1311yescharacteristic
1394C24C23×D1311yescharacteristic
1395C24C23×D1311yescharacteristic
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—262no—
1418C2×D4—262no—
1419C2×D4—262no—
1420C2×D4—262no—
1421C2×D4—262no—
1422C2×D4—262no—
1423C2×D4—262no—
1424C2×D4—262no—
1425C2×D4—262no—
1426C2×D4—262no—
1427C2×D4—262no—
1428C2×D4—262no—
1429C2×D4—262no—
1430C2×D4—262no—
1431C2×D4—262no—
1432C2×D4—262no—
1433C2×D4—262no—
1434C2×D4—262no—
1435C2×D4—262no—
1436C2×D4—262no—
1437C2×D4—262no—
1438C2×D4—262no—
1439C2×D4—262no—
1440C2×D4—262no—
1441C2×D4—262no—
1442C2×D4—262no—
1443C2×D4—262no—
1444C2×D4—262no—
1445C2×D4—521no—
1446C2×D4—521no—
1447C2×D4—521no—
1448C2×D4—521no—
1449C2×D4—521no—
1450C2×D4—521no—
1451C2×D4—521no—
1452C2×D4—521no—
1453C2×D4—521no—
1454C2×D4—521no—
1455C2×D4—521no—
1456C2×D4—521no—
1457C2×D4—521no—
1458C2×D4—521no—
1459C2×D4—521no—
1460C2×D4—521no—
1461C2×D4—521no—
1462C2×D4—521no—
1463C2×D4—521no—
1464C2×D4—521no—
1465C2×D4—521no—
1466C2×D4—521no—
1467C2×D4—521no—
1468C2×D4—5216no—
1469C2×D4—5216no—
1470C2×D4—5216no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—41no—
1474C22×C4—131no—
1475C22×C4—131no—
1476C22×C4—134no—
1477C22×C4—134no—
1478C22×C4—131no—
1479C22×C4—131no—
1480C22×C4—131no—
1481C22×C4—131no—
1482C22×C4—131no—
1483C22×C4—131no—
1484C22×C4—131no—
1485C22×C4—131no—
1486C22×C4—131no—
1487C22×C4—131no—
1488C22×C4—262no—
1489C22×C4—262no—
1490C22×C4—262no—
1491C22×C4—262no—
1492C22×C4—262no—
1493C22×C4—262no—
1494C22×C4—262no—
1495C22×C4—262no—
1496C22×C4—262no—
1497C22×C4—262no—
1498C22×C4—262no—
1499C22×C4—262no—
1500C22×C4—262no—
1501C22×C4—521no—
1502C22×C4—521no—
1503C22×C4—521no—
1504C22×C4—521no—
1505C22×C4—521no—
1506C22×C4—521no—
1507C22×C4—521no—
1508C22×C4—521no—
1509C22×C4—521no—
1510C22×C4—521no—
1511C22×C4—521no—
1512C22×C4—521no—
1513C22×C4—5216no—
1514C22×C4—521no—
1515C22×C4—521no—
1516C22×C4—521no—
1517C22×C4C23×D1311yescharacteristic
1518C22×C4C23×D1311yescharacteristic
1519C22×C4C23×D1311yescharacteristic
1520C22×C4C23×D1311yescharacteristic
1521C22×C4C23×D1311yescharacteristic
1522C22×C4C23×D1311yescharacteristic
1523C22×C4C23×D1311yescharacteristic
1524C22×C4C23×D1311yescharacteristic
1525C22×C4C23×D1311yescharacteristic
1526C22×C4C23×D1311yescharacteristic
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—41no—
1530C4⋊C4—41no—
1531C4⋊C4—262no—
1532C4⋊C4—262no—
1533C4⋊C4—262no—
1534C4⋊C4—262no—
1535C4⋊C4—262no—
1536C4⋊C4—262no—
1537C4⋊C4—262no—
1538C4⋊C4—262no—
1539C4⋊C4—262no—
1540C4⋊C4—262no—
1541C4⋊C4—521no—
1542C4⋊C4—521no—
1543C4⋊C4—521no—
1544C4⋊C4—521no—
1545C4⋊C4—521no—
1546C4⋊C4—521no—
1547C4⋊C4—521no—
1548C4⋊C4—521no—
1549C4⋊C4—521no—
1550C4⋊C4—521no—
1551C22⋊C4—22no—
1552C22⋊C4—22no—
1553C22⋊C4—22no—
1554C22⋊C4—22no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—41no—
1558C22⋊C4—41no—
1559C22⋊C4—41no—
1560C22⋊C4—41no—
1561C22⋊C4—41no—
1562C22⋊C4—41no—
1563C22⋊C4—41no—
1564C22⋊C4—41no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—134no—
1568C22⋊C4—134no—
1569C22⋊C4—134no—
1570C22⋊C4—262no—
1571C22⋊C4—262no—
1572C22⋊C4—262no—
1573C22⋊C4—262no—
1574C22⋊C4—262no—
1575C22⋊C4—262no—
1576C22⋊C4—262no—
1577C22⋊C4—262no—
1578C22⋊C4—262no—
1579C22⋊C4—262no—
1580C22⋊C4—262no—
1581C22⋊C4—262no—
1582C22⋊C4—262no—
1583C22⋊C4—262no—
1584C22⋊C4—262no—
1585C22⋊C4—262no—
1586C22⋊C4—521no—
1587C22⋊C4—521no—
1588C22⋊C4—521no—
1589C22⋊C4—521no—
1590C22⋊C4—521no—
1591C22⋊C4—521no—
1592C22⋊C4—521no—
1593C22⋊C4—521no—
1594C22⋊C4—521no—
1595C22⋊C4—521no—
1596C22⋊C4—521no—
1597C22⋊C4—521no—
1598C22⋊C4—521no—
1599C22⋊C4—521no—
1600C22⋊C4—521no—
1601C22⋊C4—521no—
1602C22⋊C4—521no—
1603C22⋊C4—521no—
1604C22⋊C4—521no—
1605C22⋊C4—521no—
1606C22⋊C4—521no—
1607C22⋊C4—521no—
1608C22⋊C4—521no—
1609C22⋊C4—521no—
1610C22⋊C4—521no—
1611C22⋊C4—521no—
1612C22⋊C4—521no—
1613C22⋊C4—521no—
1614C22⋊C4D4×D1314yes—
1615C42—41no—
1616C42—521no—
1617C42—521no—
1618C42—521no—
1619C13#3672111yescharacteristic, complemented, Sylow
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—44no—
1654C23—82no—
1655C23—82no—
1656C23—82no—
1657C23—82no—
1658C23—82no—
1659C23—82no—
1660C23—132no—
1661C23—132no—
1662C23—132no—
1663C23—132no—
1664C23—132no—
1665C23—268no—
1666C23—268no—
1667C23—261no—
1668C23—261no—
1669C23—261no—
1670C23—261no—
1671C23—261no—
1672C23—261no—
1673C23—261no—
1674C23—261no—
1675C23—261no—
1676C23—261no—
1677C23—261no—
1678C23—261no—
1679C23—261no—
1680C23—261no—
1681C23—261no—
1682C23—261no—
1683C23—261no—
1684C23—261no—
1685C23—261no—
1686C23—261no—
1687C23—261no—
1688C23—261no—
1689C23—261no—
1690C23—524no—
1691C23—524no—
1692C23—524no—
1693C23—524no—
1694C23—524no—
1695C23—524no—
1696C23—524no—
1697C23—524no—
1698C23—524no—
1699C23—1042no—
1700C23—1042no—
1701C23—1042no—
1702C23—1042no—
1703C23—1042no—
1704C23—1042no—
1705C23—1042no—
1706C23—1042no—
1707C23—1042no—
1708C23—1042no—
1709C23C2×D4×D1312yes—
1710C23#8825112yes—
1711C23C24×D1311yescharacteristic
1712D4—44no—
1713D4—44no—
1714D4—82no—
1715D4—82no—
1716D4—82no—
1717D4—82no—
1718D4—82no—
1719D4—524no—
1720D4—524no—
1721D4—524no—
1722D4—524no—
1723D4—524no—
1724D4—524no—
1725D4—524no—
1726D4—524no—
1727D4—524no—
1728D4—524no—
1729D4—1042no—
1730D4—1042no—
1731D4—1042no—
1732D4—1042no—
1733D4—1042no—
1734D4—1042no—
1735D4—1042no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—44no—
1765C2×C4—132no—
1766C2×C4—132no—
1767C2×C4—261no—
1768C2×C4—261no—
1769C2×C4—261no—
1770C2×C4—261no—
1771C2×C4—261no—
1772C2×C4—261no—
1773C2×C4—261no—
1774C2×C4—261no—
1775C2×C4—261no—
1776C2×C4—261no—
1777C2×C4—261no—
1778C2×C4—261no—
1779C2×C4—261no—
1780C2×C4—261no—
1781C2×C4—261no—
1782C2×C4—261no—
1783C2×C4—261no—
1784C2×C4—261no—
1785C2×C4—261no—
1786C2×C4—261no—
1787C2×C4—261no—
1788C2×C4—261no—
1789C2×C4—261no—
1790C2×C4—261no—
1791C2×C4—261no—
1792C2×C4—261no—
1793C2×C4—261no—
1794C2×C4—261no—
1795C2×C4—261no—
1796C2×C4—261no—
1797C2×C4—261no—
1798C2×C4—261no—
1799C2×C4—261no—
1800C2×C4—261no—
1801C2×C4—524no—
1802C2×C4—524no—
1803C2×C4—524no—
1804C2×C4—524no—
1805C2×C4—524no—
1806C2×C4—524no—
1807C2×C4—524no—
1808C2×C4—524no—
1809C2×C4—524no—
1810C2×C4—524no—
1811C2×C4C2×D4×D1312yes—
1812C2×C4C2×D4×D1312yes—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—88no—
1849C22—134no—
1850C22—262no—
1851C22—262no—
1852C22—262no—
1853C22—262no—
1854C22—262no—
1855C22—262no—
1856C22—262no—
1857C22—262no—
1858C22—262no—
1859C22—262no—
1860C22—262no—
1861C22—262no—
1862C22—5216no—
1863C22—521no—
1864C22—521no—
1865C22—521no—
1866C22—521no—
1867C22—521no—
1868C22—521no—
1869C22—521no—
1870C22—521no—
1871C22—521no—
1872C22—521no—
1873C22—521no—
1874C22—521no—
1875C22—521no—
1876C22—521no—
1877C22—521no—
1878C22—1048no—
1879C22—1048no—
1880C22C22×D4×D1311yescharacteristic
1881C22C2×#8825111yescharacteristic
1882C22#1171964811yescharacteristic
1883C22D13×H(5,𝔽2)11yescharacteristic
1884C22D13×H(5,𝔽2)11yescharacteristic
1885C22D13×H(5,𝔽2)11yescharacteristic
1886C22#1171965011yescharacteristic
1887C4—22no—
1888C4—22no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—262no—
1898C4—262no—
1899C4—521no—
1900C4—521no—
1901C4—521no—
1902C4—521no—
1903C4—521no—
1904C4—521no—
1905C4—521no—
1906C4—521no—
1907C4—521no—
1908C4—521no—
1909C2—42no—
1910C2—42no—
1911C2—81no—
1912C2—81no—
1913C2—81no—
1914C2—264no—
1915C2—522no—
1916C2—522no—
1917C2—1041no—
1918C2D13×#53511yescharacteristic
1919C2#1312846411yescharacteristic
1920C2#1312847311yescharacteristic
1921C2#1312901611yescharacteristic
1922C2#1312901711yescharacteristic
1923C2#1312901811yescharacteristic
1924C2#1312902511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2678C2
hypercenter#2678D13
hypocenterC13#36721
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#11719294C2semidirect
2. C2×D13×#123C2semidirect
3. #13123117C2semidirect
4. #13123115C2semidirect
5. #13121531C2semidirect
6. #13121530C2semidirect
7. #13121529C2semidirect
8. #13121528C2semidirect
9. #13121522C2semidirect
10. #13121520C2semidirect
11. #13121519C2semidirect
12. #13121517C2semidirect
13. #13121168C2semidirect
14. #13121165C2semidirect
15. #13121164C2semidirect
16. #13121161C2semidirect
17. #13121158C2semidirect
18. #13121157C2semidirect
19. #13121154C2semidirect
20. #13120583C2semidirect
21. #13120577C2semidirect
22. #13119765C2semidirect
23. #13119761C2semidirect
24. #13119327C2semidirect
25. #13119323C2semidirect
26. #13118161C2semidirect
27. #13118158C2semidirect
28. #13118147C2semidirect
29. #13118145C2semidirect
30. #13117430C2semidirect
31. C13×#2678C2semidirect
35. C23×C4×D13C22semidirect
36. C2×C13×#123C22semidirect
37. C2×C13×#121C22semidirect
38. C2×C13×#120C22semidirect
39. C2×C13×#120C22semidirect
40. C2×#88207C22semidirect
41. C2×#88207C22semidirect
42. C2×#88193C22semidirect
45. C2×#88192C22semidirect
46. C2×#88191C22semidirect
47. C2×#88191C22semidirect
48. C2×#88191C22semidirect
49. C2×#88191C22semidirect
50. C2×#88191C22semidirect
51. C2×#88191C22semidirect
52. C2×#88189C22semidirect
53. C2×#88189C22semidirect
54. C2×#88183C22semidirect
57. C2×#88148C22semidirect
58. C2×#88148C22semidirect
59. C2×#88148C22semidirect
60. C2×C4⋊C4×D13C22semidirect
61. C2×C4⋊C4×D13C22semidirect
62. C2×#88140C22semidirect
63. C2×#88140C22semidirect
66. C2×#88138C22semidirect
67. C2×#88137C22semidirect
68. C2×#88137C22semidirect
69. C2×#88137C22semidirect
70. C2×#88137C22semidirect
71. C2×#88137C22semidirect
72. C2×#88137C22semidirect
73. C2×#88137C22semidirect
74. C2×#88136C22semidirect
75. C2×#88136C22semidirect
78. C2×C22⋊C4×D13C22semidirect
79. C13×#397C22semidirect
80. C13×#396C22semidirect
81. C13×#394C22semidirect
82. C13×#394C22semidirect
84. C13×#392C22semidirect
85. C13×#390C22semidirect
86. C13×#390C22semidirect
87. C13×#388C22semidirect
88. C13×#386C22semidirect
89. C13×#379C22semidirect
90. #11718908C22semidirect
95. #11718884C22semidirect
96. #11718884C22semidirect
97. #11718883C22semidirect
98. #11718883C22semidirect
99. #11718882C22semidirect
100. #11718882C22semidirect
101. #11718882C22semidirect
102. #11718881C22semidirect
103. #11718881C22semidirect
104. #11718881C22semidirect
105. #11718874C22semidirect
106. #11718873C22semidirect
107. #11718655C22semidirect
108. #11718655C22semidirect
109. #11718654C22semidirect
110. #11718653C22semidirect
111. #11718651C22semidirect
112. #11718650C22semidirect
113. #11718648C22semidirect
114. #11718648C22semidirect
115. #11718645C22semidirect
116. #11718644C22semidirect
117. #11718638C22semidirect
118. #11718622C22semidirect
119. #11718622C22semidirect
120. #11718622C22semidirect
121. #11718622C22semidirect
125. #11718621C22semidirect
126. #11718620C22semidirect
127. #11718620C22semidirect
128. #11718620C22semidirect
129. #11718620C22semidirect
130. #11718619C22semidirect
131. #11718618C22semidirect
132. #11718618C22semidirect
133. #11718618C22semidirect
134. #11718618C22semidirect
135. #11718618C22semidirect
136. #11718618C22semidirect
137. #11718617C22semidirect
138. #11718617C22semidirect
139. #11718617C22semidirect
140. #11718617C22semidirect
141. #11718617C22semidirect
142. #11718617C22semidirect
143. #11718617C22semidirect
144. #11718617C22semidirect
145. #11718617C22semidirect
146. #11718617C22semidirect
149. #11718616C22semidirect
150. #11718616C22semidirect
151. #11718614C22semidirect
152. #11718613C22semidirect
153. #11718613C22semidirect
154. #11718613C22semidirect
155. #11718613C22semidirect
156. #11718612C22semidirect
157. #11718611C22semidirect
158. #11718610C22semidirect
159. #11718610C22semidirect
160. #11718609C22semidirect
161. #11718609C22semidirect
162. #11718609C22semidirect
163. #11718609C22semidirect
164. #11718609C22semidirect
165. #11718607C22semidirect
166. #11718606C22semidirect
167. #11718605C22semidirect
168. #11718603C22semidirect
169. #11718601C22semidirect
170. #11718600C22semidirect
171. C4×#6103C22semidirect
172. #11718597C22semidirect
173. #11718338C22semidirect
174. #11718335C22semidirect
175. #11718331C22semidirect
176. #11718330C22semidirect
177. #11718329C22semidirect
178. #11718328C22semidirect
179. #11718328C22semidirect
180. #11718327C22semidirect
181. #11718326C22semidirect
182. #11718326C22semidirect
183. #11718326C22semidirect
184. #11718326C22semidirect
185. #11718322C22semidirect
186. #11718318C22semidirect
187. #11718311C22semidirect
188. #11718311C22semidirect
372. C22⋊C4×D13D4semidirect
677. #2678D13semidirect
903. C2×#123C2×D13semidirect
911. C2×#121C2×D13semidirect
922. C2×#120C2×D13semidirect
923. C2×#120C2×D13semidirect
944. #397C2×D13semidirect
952. #396C2×D13semidirect
963. #394C2×D13semidirect
964. #394C2×D13semidirect
976. #392C2×D13semidirect
987. #390C2×D13semidirect
988. #390C2×D13semidirect
996. #388C2×D13semidirect
1016. #386C2×D13semidirect
1036. #379C2×D13semidirect
1619. C13#36721semidirect

Maximal subgroups

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

subgroupindex
C2×#117192942
C2×D13×#1232
#131231172
#131231152
#131215312
#131215302
#131215292
#131215282
#131215222
#131215202
#131215192
#131215172
#131211682
#131211652
#131211642
#131211612
#131211582
#131211572
#131211542
#131205832
#131205772
#131197652
#131197612
#131193272
#131193232
#131181612
#131181582
#131181472
#131181452
#131174302
C13×#26782
#3672113