Finite Group Databasebeta

← #16070808

Subgroups — #16070808

Order 3328.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123178C211yesmaximal, characteristic, complemented
2#13123143C211yesmaximal, characteristic, complemented
3#13122775C211yesmaximal, characteristic, complemented
4#13122768C211yesmaximal, characteristic, complemented
5#13122695C211yesmaximal, characteristic, complemented
6#13122693C211yesmaximal, characteristic, complemented
7#13122649C211yesmaximal, characteristic, complemented
8#13122645C211yesmaximal, characteristic, complemented
9#13122115C211yesmaximal, characteristic, complemented
10#13122107C211yesmaximal, characteristic, complemented
11#13122104C211yesmaximal, characteristic, complemented
12#13122103C211yesmaximal, characteristic, complemented
13#13121595C211yesmaximal, characteristic, complemented
14#13121587C211yesmaximal, characteristic, complemented
15#13121445C211yesmaximal, characteristic, complemented
16#13121443C211yesmaximal, characteristic, complemented
17#13121096C211yesmaximal, characteristic, complemented
18#13120569C211yesmaximal, characteristic, complemented
19#13120569C211yesmaximal, characteristic, complemented
20#13118583C211yesmaximal, characteristic, complemented
21#13118579C211yesmaximal, characteristic, complemented
22#13118568C211yesmaximal, characteristic, complemented
23#13118564C211yesmaximal, characteristic, complemented
24#13118375C211yesmaximal, characteristic, complemented
25#13118375C211yesmaximal, characteristic, complemented
26#13118369C211yesmaximal, characteristic, complemented
27#13118369C211yesmaximal, characteristic, complemented
28#13117538C211yesmaximal, characteristic, complemented
29#13117538C211yesmaximal, characteristic, complemented
30D13×#388C211yesmaximal, characteristic, complemented
31C13×#2673C211yesmaximal, characteristic, complemented
32C2×C13×#127C2211yescharacteristic, complemented
33C2×C13×#123C2211yescharacteristic, complemented
34C2×C13×#121C2211yescharacteristic
35C2×C13×#121C2211yescharacteristic
36C2×#88193C2211yescharacteristic
37C2×#88193C2211yescharacteristic
38C2×#88192C2211yescharacteristic
39C2×#88192C2211yescharacteristic
40C2×#88192C2211yescharacteristic
41C2×#88192C2211yescharacteristic
42C2×#88192C2211yescharacteristic
43C2×#88192C2211yescharacteristic
44C2×#88191C2211yescharacteristic
45C2×#88191C2211yescharacteristic
46C2×#88191C2211yescharacteristic
47C2×#88191C2211yescharacteristic
48C2×#88189C2211yescharacteristic, complemented
49C2×C4×C22⋊D13C2211yescharacteristic
50C2×C4×C22⋊D13C2211yescharacteristic
51C2×C4⋊C4×D13C2211yescharacteristic
52C2×#88143C2211yescharacteristic, complemented
53C2×#88135C2211yescharacteristic
54C2×#88135C2211yescharacteristic
55C2×C22⋊C4×D13C2211yescharacteristic
56C2×C22⋊C4×D13C2211yescharacteristic
57C2×C22⋊C4×D13C2211yescharacteristic
58C2×C42×D13C2211yescharacteristic
59C13×#394C2211yescharacteristic, complemented
60C13×#394C2211yescharacteristic, complemented
61C13×#392C2211yescharacteristic
62C13×#392C2211yescharacteristic
63C13×#392C2211yescharacteristic
64C13×#392C2211yescharacteristic
65C13×#388C2211yescharacteristic
66C13×#387C2211yescharacteristic, complemented
67C13×#386C2211yescharacteristic, complemented
68C13×#386C2211yescharacteristic, complemented
69C13×#386C2211yescharacteristic, complemented
70#11718884C2211yescharacteristic
71#11718884C2211yescharacteristic
72#11718884C2211yescharacteristic
73#11718884C2211yescharacteristic
74#11718883C2211yescharacteristic
75#11718883C2211yescharacteristic
76#11718883C2211yescharacteristic
77#11718883C2211yescharacteristic
78#11718883C2211yescharacteristic
79#11718883C2211yescharacteristic
80#11718883C2211yescharacteristic
81#11718883C2211yescharacteristic
82#11718883C2211yescharacteristic, complemented
83#11718883C2211yescharacteristic, complemented
84#11718882C2211yescharacteristic
85#11718882C2211yescharacteristic
86#11718882C2211yescharacteristic, complemented
87#11718882C2211yescharacteristic, complemented
88#11718882C2211yescharacteristic, complemented
89#11718882C2211yescharacteristic, complemented
90#11718882C2211yescharacteristic, complemented
91#11718882C2211yescharacteristic, complemented
92#11718881C2211yescharacteristic
93#11718881C2211yescharacteristic
94#11718881C2211yescharacteristic, complemented
95#11718881C2211yescharacteristic, complemented
96#11718881C2211yescharacteristic, complemented
97#11718874C2211yescharacteristic
98#11718874C2211yescharacteristic
99#11718872C2211yescharacteristic, complemented
100#11718871C2211yescharacteristic, complemented
101#11718871C2211yescharacteristic, complemented
102#11718871C2211yescharacteristic, complemented
103#11718655C2211yescharacteristic
104#11718655C2211yescharacteristic
105#11718651C2211yescharacteristic
106#11718650C2211yescharacteristic
107#11718650C2211yescharacteristic
108#11718645C2211yescharacteristic, complemented
109#11718645C2211yescharacteristic, complemented
110#11718642C2211yescharacteristic, complemented
111#11718642C2211yescharacteristic, complemented
112#11718633C2211yescharacteristic, complemented
113#11718622C2211yescharacteristic
114#11718622C2211yescharacteristic
115#11718620C2211yescharacteristic
116#11718620C2211yescharacteristic
117#11718620C2211yescharacteristic
118#11718620C2211yescharacteristic
119#11718620C2211yescharacteristic
120#11718620C2211yescharacteristic
121#11718618C2211yescharacteristic
122#11718618C2211yescharacteristic
123#11718617C2211yescharacteristic
124#11718617C2211yescharacteristic
125#11718617C2211yescharacteristic
126#11718617C2211yescharacteristic
127#11718617C2211yescharacteristic
128#11718617C2211yescharacteristic
129#11718617C2211yescharacteristic
130#11718617C2211yescharacteristic
131#11718614C2211yescharacteristic
132#11718614C2211yescharacteristic
133#11718614C2211yescharacteristic, complemented
134#11718614C2211yescharacteristic, complemented
135#11718613C2211yescharacteristic, complemented
136#11718613C2211yescharacteristic, complemented
137#11718613C2211yescharacteristic, complemented
138#11718613C2211yescharacteristic, complemented
139#11718612C2211yescharacteristic
140#11718612C2211yescharacteristic
141#11718612C2211yescharacteristic
142#11718612C2211yescharacteristic, complemented
143#11718612C2211yescharacteristic, complemented
144#11718611C2211yescharacteristic, complemented
145#11718610C2211yescharacteristic, complemented
146#11718610C2211yescharacteristic, complemented
147#11718609C2211yescharacteristic
148#11718609C2211yescharacteristic
149#11718607C2211yescharacteristic, complemented
150#11718607C2211yescharacteristic, complemented
151#11718606C2211yescharacteristic
152#11718606C2211yescharacteristic, complemented
153#11718606C2211yescharacteristic, complemented
154#11718606C2211yescharacteristic, complemented
155#11718606C2211yescharacteristic, complemented
156#11718605C2211yescharacteristic
157#11718605C2211yescharacteristic, complemented
158#11718605C2211yescharacteristic, complemented
159#11718604C2211yescharacteristic, complemented
160#11718601C2211yescharacteristic
161#11718596C2211yescharacteristic, complemented
162#11718594C2211yescharacteristic, complemented
163#11718335C2211yescharacteristic
164#11718335C2211yescharacteristic
165#11718331C2211yescharacteristic
166#11718331C2211yescharacteristic
167#11718331C2211yescharacteristic
168#11718330C2211yescharacteristic
169#11718329C2211yescharacteristic
170#11718329C2211yescharacteristic
171#11718328C2211yescharacteristic
172#11718328C2211yescharacteristic
173D13×#95C2211yescharacteristic
174D13×#95C2211yescharacteristic
175#11718321C2211yescharacteristic, complemented
176#11718321C2211yescharacteristic, complemented
177#11718316C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718316C2211yescharacteristic, complemented
180#11718315C2211yescharacteristic, complemented
181#11718315C2211yescharacteristic, complemented
182#11718315C2211yescharacteristic, complemented
183#11718314C2211yescharacteristic, complemented
184#11718314C2211yescharacteristic, complemented
185#11718311C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C22×D4×C13C2311yescharacteristic
196C22×D4×C13C2311yescharacteristic
197C22×D4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C22×C22⋊D13C2311yescharacteristic
206C22×C22⋊D13C2311yescharacteristic
207C22×C22⋊D13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C23×Dic13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C13×#127—42no—
217C13×#123—42no—
218C13×#121—42no—
219C13×#121—42no—
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C42×C13C2311yescharacteristic
237C2×C22⋊Dic13C2311yescharacteristic
238C2×C22⋊Dic13C2311yescharacteristic
239C2×C22⋊Dic13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
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
266#88193—42no—
267#88193—42no—
268#88192—24no—
269#88192—24no—
270#88192—42no—
271#88192—42no—
272#88192—42no—
273#88192—42no—
274#88191—42no—
275#88191—42no—
276#88191—42no—
277#88191—42no—
278#88189—42no—
279C4×C22⋊D13—42no—
280C4×C22⋊D13—42no—
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×C4⋊Dic13C2311yescharacteristic
296C2×C4⋊Dic13C2311yescharacteristic
297C2×C4⋊Dic13C2311yescharacteristic
298C2×C4⋊Dic13C2311yescharacteristic
299C2×C4⋊Dic13C2311yescharacteristic
300C2×C4⋊Dic13C2311yescharacteristic
301C2×C4⋊Dic13C2311yescharacteristic
302C2×C4⋊Dic13C2311yescharacteristic
303C2×C4⋊Dic13C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×#6101C2311yescharacteristic
313C2×#6101C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×#6101C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321C2×C4×Dic13C2311yescharacteristic
322C2×C4×Dic13C2311yescharacteristic
323C2×C4×Dic13C2311yescharacteristic
324C2×C4×Dic13C2311yescharacteristic
325C4⋊C4×D13—42no—
326#88143—42no—
327#88135—42no—
328#88135—42no—
329C22⋊C4×D13—24no—
330C22⋊C4×D13—42no—
331C22⋊C4×D13—42no—
332C42×D13—42no—
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#36759—131nomaximal, Sylow
370C24×C13C2411yescharacteristic
371C24×C13C2411yescharacteristic
372C24×C13C2411yescharacteristic
373C24×C13C2411yescharacteristic
374C24×C13C2411yescharacteristic
375C23×D13—22no—
376C23×D13—22no—
377C23×D13—22no—
378C23×D13—41no—
379C23×D13—41no—
380C23×D13—41no—
381C23×D13—41no—
382C23×D13C2411yescharacteristic
383C23×D13C2411yescharacteristic
384C2×D4×C13—22no—
385C2×D4×C13—22no—
386C2×D4×C13—22no—
387C2×D4×C13—22no—
388C2×D4×C13—22no—
389C2×D4×C13—22no—
390C2×D4×C13—41no—
391C2×D4×C13—41no—
392C2×D4×C13—41no—
393C2×D4×C13—41no—
394C2×D4×C13—41no—
395C2×D4×C13—41no—
396C2×D4×C13—41no—
397C2×D4×C13—41no—
398C2×D4×C13—41no—
399C2×D4×C13—41no—
400C2×D4×C13—41no—
401C2×D4×C13—41no—
402C2×D4×C13—41no—
403C2×D4×C13—41no—
404C2×D4×C13—41no—
405C2×D4×C13—41no—
406C2×D4×C13—41no—
407C2×D4×C13—41no—
408C2×D4×C13—41no—
409C2×D4×C13—41no—
410C2×D4×C13—41no—
411C2×D4×C13—41no—
412C2×D4×C13—41no—
413C2×D4×C13—41no—
414C22×C4×C13—41no—
415C22×C4×C13—41no—
416C22×C4×C13—41no—
417C22×C4×C13—41no—
418C22×C4×C13—41no—
419C22×C4×C13—41no—
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
426C22×C4×C13C2411yescharacteristic
427C22×C4×C13C2411yescharacteristic
428C22×C4×C13C2411yescharacteristic
429C22×C4×C13C2411yescharacteristic
430C2×C22⋊D13—22no—
431C2×C22⋊D13—22no—
432C2×C22⋊D13—22no—
433C2×C22⋊D13—22no—
434C2×C22⋊D13—22no—
435C2×C22⋊D13—22no—
436C2×C22⋊D13—22no—
437C2×C22⋊D13—22no—
438C2×C22⋊D13—22no—
439C2×C22⋊D13—22no—
440C2×C22⋊D13—22no—
441C2×C22⋊D13—22no—
442C2×C22⋊D13—41no—
443C2×C22⋊D13—41no—
444C2×C22⋊D13—41no—
445C2×C22⋊D13—41no—
446C2×C22⋊D13—41no—
447C2×C22⋊D13—41no—
448C2×C22⋊D13—41no—
449C2×C22⋊D13—41no—
450C2×C22⋊D13—41no—
451C2×C22⋊D13—41no—
452C2×C22⋊D13—41no—
453C2×C22⋊D13—41no—
454C22×Dic13—41no—
455C22×Dic13—41no—
456C22×Dic13—41no—
457C22×Dic13—41no—
458C22×Dic13—41no—
459C22×Dic13—41no—
460C22×Dic13C2411yescharacteristic
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C2×C4×D13—22no—
475C2×C4×D13—22no—
476C2×C4×D13—22no—
477C2×C4×D13—22no—
478C2×C4×D13—22no—
479C2×C4×D13—22no—
480C2×C4×D13—22no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13—41no—
484C2×C4×D13—41no—
485C2×C4×D13—41no—
486C2×C4×D13—41no—
487C2×C4×D13—41no—
488C2×C4×D13—41no—
489C2×C4×D13—41no—
490C2×C4×D13—41no—
491C2×C4×D13#4114yes—
492C13×C4⋊C4—22no—
493C13×C4⋊C4—22no—
494C13×C4⋊C4—22no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—41no—
499C13×C22⋊C4—41no—
500C13×C22⋊C4—41no—
501C13×C22⋊C4—41no—
502C13×C22⋊C4—41no—
503C13×C22⋊C4—41no—
504C13×C22⋊C4—41no—
505C13×C22⋊C4—41no—
506C13×C22⋊C4—41no—
507C13×C22⋊C4—41no—
508C42×C13—22no—
509C22⋊Dic13—22no—
510C22⋊Dic13—22no—
511C22⋊Dic13—22no—
512C22⋊Dic13—22no—
513C22⋊Dic13—22no—
514C22⋊Dic13—41no—
515C22⋊Dic13—41no—
516C22⋊Dic13—41no—
517C22⋊Dic13—41no—
518C22⋊Dic13—41no—
519C22⋊Dic13—41no—
520C22⋊Dic13—41no—
521C22⋊Dic13—41no—
522C22⋊Dic13—41no—
523C22⋊Dic13—41no—
524C22⋊Dic13—41no—
525C22⋊Dic13—41no—
526C22⋊Dic13—41no—
527C22⋊Dic13—41no—
528C22⋊Dic13—41no—
529C22⋊Dic13—41no—
530C22⋊Dic13—41no—
531C22⋊Dic13—41no—
532C22⋊Dic13—41no—
533C22⋊Dic13—41no—
534C22⋊Dic13—41no—
535C22⋊Dic13—41no—
536C22⋊Dic13—41no—
537C22⋊Dic13—41no—
538#6103—22no—
539#6103—22no—
540#6103—22no—
541#6103—22no—
542#6103—22no—
543#6103—22no—
544#6103—22no—
545#6103—22no—
546#6103—41no—
547#6103—41no—
548#6103—41no—
549#6103—41no—
550#6103—41no—
551#6103—41no—
552C4⋊Dic13—22no—
553C4⋊Dic13—22no—
554C4⋊Dic13—41no—
555C4⋊Dic13—41no—
556C4⋊Dic13—41no—
557C4⋊Dic13—41no—
558C4⋊Dic13—41no—
559C4⋊Dic13—41no—
560C4⋊Dic13—41no—
561#6101—22no—
562#6101—22no—
563#6101—22no—
564#6101—41no—
565#6101—41no—
566#6101—41no—
567#6101—41no—
568#6101—41no—
569#6101—41no—
570#6101—41no—
571#6101—41no—
572#6101—41no—
573#6101—41no—
574#6101—41no—
575C4×Dic13—22no—
576C4×Dic13—41no—
577C4×Dic13—41no—
578C4×Dic13—41no—
579C4×Dic13—41no—
580C4×Dic13—41no—
581C4×Dic13—41no—
582#2856—131no—
583#2851—131no—
584#2803—131no—
585#2803—131no—
586#2797—131no—
587#2797—131no—
588#2793—131no—
589#2793—131no—
590#2753—131no—
591#2753—131no—
592#2752—131no—
593#2752—131no—
594#2711—131no—
595#2711—131no—
596#2701—131no—
597#2701—131no—
598#2673—131no—
599#2673D1311yescharacteristic, complemented
600#2617—131no—
601#2617—131no—
602#2444—131no—
603#2444—131no—
604#2443—131no—
605#2443—131no—
606#2424—131no—
607#2424—131no—
608#2424—131no—
609#2424—131no—
610#2325—131no—
611#2325—131no—
612C2×#388—131no—
613C23×C13—21no—
614C23×C13—21no—
615C23×C13—21no—
616C23×C13—21no—
617C23×C13—21no—
618C23×C13—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13—21no—
626C23×C13—21no—
627C23×C13—21no—
628C23×C13—21no—
629C23×C13—21no—
630C23×C13—21no—
631C23×C13—21no—
632C23×C13—21no—
633C23×C13—21no—
634C23×C13—21no—
635C23×C13—21no—
636C23×C13—21no—
637C23×C13—21no—
638C23×C13—21no—
639C23×C13—21no—
640C23×C13—21no—
641C23×C13—21no—
642C23×C13—21no—
643C23×C13—21no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13—21no—
647C23×C13—21no—
648C23×C13C2511yescharacteristic
649C22×D13—21no—
650C22×D13—21no—
651C22×D13—21no—
652C22×D13—21no—
653C22×D13—21no—
654C22×D13—21no—
655C22×D13—21no—
656C22×D13—21no—
657C22×D13—21no—
658C22×D13—21no—
659C22×D13—21no—
660C22×D13—44no—
661C22×D13—44no—
662C22×D13—44no—
663C22×D13—82no—
664C22×D13—82no—
665C22×D13—82no—
666C22×D13—82no—
667C22×D13C2×#4112yes—
668C22×D13H(5,𝔽2)12yes—
669C22×D13H(5,𝔽2)12yes—
670D4×C13—82no—
671D4×C13—82no—
672D4×C13—82no—
673D4×C13—82no—
674D4×C13—82no—
675D4×C13—82no—
676D4×C13—82no—
677D4×C13—82no—
678D4×C13—82no—
679D4×C13—82no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
686C2×C4×C13—21no—
687C2×C4×C13—21no—
688C2×C4×C13—21no—
689C2×C4×C13—21no—
690C2×C4×C13—21no—
691C2×C4×C13—21no—
692C2×C4×C13—21no—
693C2×C4×C13—21no—
694C2×C4×C13—21no—
695C2×C4×C13—21no—
696C2×C4×C13—21no—
697C2×C4×C13—21no—
698C2×C4×C13—21no—
699C2×C4×C13—21no—
700C2×C4×C13—21no—
701C2×C4×C13—21no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—82no—
708C2×C4×C13—82no—
709C2×C4×C13C2×#4112yes—
710C2×C4×C13H(5,𝔽2)12yes—
711C2×C4×C13H(5,𝔽2)12yes—
712C22⋊D13—44no—
713C22⋊D13—44no—
714C22⋊D13—44no—
715C22⋊D13—44no—
716C22⋊D13—82no—
717C22⋊D13—82no—
718C22⋊D13—82no—
719C22⋊D13—82no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—21no—
740C2×Dic13—21no—
741C2×Dic13—21no—
742C2×Dic13—21no—
743C2×Dic13—21no—
744C2×Dic13—21no—
745C2×Dic13—21no—
746C2×Dic13—21no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749C2×Dic13—21no—
750C2×Dic13—21no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—21no—
754C2×Dic13—21no—
755C2×Dic13—21no—
756C2×Dic13—21no—
757C2×Dic13—21no—
758C2×Dic13—21no—
759C2×Dic13—21no—
760C2×Dic13—21no—
761C2×Dic13—82no—
762C2×Dic13—82no—
763C2×Dic13C2×#4112yes—
764C4×D13—44no—
765C4×D13—44no—
766C4×D13—44no—
767C4×D13—44no—
768C4×D13—82no—
769C4×D13—82no—
770C2×#127C2×D1311yescharacteristic, complemented
771C2×#125—131no—
772C2×#123—131no—
773C2×#123C2×D1311yescharacteristic, complemented
774C2×#121—131no—
775C2×#121—131no—
776C2×#121—131no—
777C2×#121—131no—
778C2×#121—131no—
779C2×#121—131no—
780C2×#121—131no—
781C2×#121—131no—
782C2×#121C2×D1311yescharacteristic
783C2×#121C2×D1311yescharacteristic
784C2×#120—131no—
785C2×#120—131no—
786C2×#120—131no—
787C2×#120—131no—
788C2×C4×D4—131no—
789C2×C4×D4—131no—
790C2×C4×D4—131no—
791C2×C4×D4—131no—
792C22×C4⋊C4—131no—
793C22×C22⋊C4—131no—
794C22×C22⋊C4—131no—
795C22×C22⋊C4—131no—
796C22×C42—131no—
797#400—131no—
798#400—131no—
799#399—131no—
800#399—131no—
801#398—131no—
802#398—131no—
803#397—131no—
804#397—131no—
805#397—131no—
806#397—131no—
807#397—131no—
808#397—131no—
809#397—131no—
810#397—131no—
811#397—131no—
812#397—131no—
813#396—131no—
814#396—131no—
815#396—131no—
816#396—131no—
817#394—131no—
818#394—131no—
819#394—131no—
820#394—131no—
821#394—131no—
822#394—131no—
823#394—131no—
824#394—131no—
825#394—131no—
826#394—131no—
827#394—131no—
828#394—131no—
829#394—131no—
830#394—131no—
831#394—131no—
832#394—131no—
833#394—131no—
834#394—131no—
835#394C2×D1311yescharacteristic, complemented
836#394C2×D1311yescharacteristic, complemented
837#392—131no—
838#392—131no—
839#392—131no—
840#392—131no—
841#392C2×D1311yescharacteristic
842#392C2×D1311yescharacteristic
843#392C2×D1311yescharacteristic
844#392C2×D1311yescharacteristic
845#390—131no—
846#390—131no—
847#390—131no—
848#390—131no—
849#390—131no—
850#390—131no—
851#390—131no—
852#390—131no—
853#390—131no—
854#390—131no—
855#389—131no—
856#389—131no—
857#388—131no—
858#388—131no—
859#388—131no—
860#388—131no—
861#388—131no—
862#388—131no—
863#388—131no—
864#388—131no—
865#388—131no—
866#388—131no—
867#388—131no—
868#388—131no—
869#388—131no—
870#388—131no—
871#388—131no—
872#388—131no—
873#388—131no—
874#388—131no—
875#388—131no—
876#388C2×D1311yescharacteristic
877#387—131no—
878#387—131no—
879#387—131no—
880#387—131no—
881#387—131no—
882#387—131no—
883#387—131no—
884#387—131no—
885#387—131no—
886#387—131no—
887#387—131no—
888#387C2×D1311yescharacteristic, complemented
889#386—131no—
890#386—131no—
891#386—131no—
892#386—131no—
893#386—131no—
894#386—131no—
895#386—131no—
896#386—131no—
897#386—131no—
898#386—131no—
899#386—131no—
900#386—131no—
901#386—131no—
902#386—131no—
903#386—131no—
904#386C2×D1311yescharacteristic, complemented
905#386C2×D1311yescharacteristic, complemented
906#386C2×D1311yescharacteristic, complemented
907#385—131no—
908#385—131no—
909#385—131no—
910#385—131no—
911#385—131no—
912#385—131no—
913#385—131no—
914#385—131no—
915#385—131no—
916#385—131no—
917#384—131no—
918#382—131no—
919#381—131no—
920#381—131no—
921#380—131no—
922#380—131no—
923C2×#95—131no—
924C2×#95—131no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13—41no—
930C22×C13—41no—
931C22×C13—41no—
932C22×C13—41no—
933C22×C13—41no—
934C22×C13—41no—
935C22×C13—41no—
936C22×C13—41no—
937C22×C13—41no—
938C22×C13—41no—
939C22×C13—41no—
940C22×C13—41no—
941C22×C13—41no—
942C22×C13—41no—
943C22×C13—41no—
944C22×C13—41no—
945C22×C13—41no—
946C22×C13—41no—
947C22×C13—41no—
948C22×C13—41no—
949C22×C13—41no—
950C22×C13—41no—
951C22×C13—41no—
952C22×C13—41no—
953C22×C13—41no—
954C22×C13—41no—
955C22×C13—41no—
956C22×C13—41no—
957C22×C13—41no—
958C22×C13—41no—
959C22×C13—41no—
960C22×C13C22×#4111yescharacteristic
961C22×C13C2×H(5,𝔽2)11yescharacteristic
962C22×C13C2×H(5,𝔽2)11yescharacteristic
963C22×C13C2×H(5,𝔽2)11yescharacteristic
964C22×C13C2×H(5,𝔽2)11yescharacteristic
965C22×C13#58511yescharacteristic
966C22×C13#58511yescharacteristic
967C2×D13—22no—
968C2×D13—22no—
969C2×D13—22no—
970C2×D13—22no—
971C2×D13—22no—
972C2×D13—22no—
973C2×D13—41no—
974C2×D13—41no—
975C2×D13—41no—
976C2×D13—41no—
977C2×D13—41no—
978C2×D13—41no—
979C2×D13—41no—
980C2×D13—88no—
981C2×D13#54014yes—
982C4×C13—22no—
983C4×C13—22no—
984C4×C13—22no—
985C4×C13—41no—
986C4×C13—41no—
987C4×C13—41no—
988C4×C13—41no—
989C4×C13—41no—
990C4×C13—41no—
991C4×C13—41no—
992Dic13—22no—
993Dic13—41no—
994Dic13—41no—
995Dic13—41no—
996Dic13—41no—
997Dic13—41no—
998Dic13—41no—
999Dic13—41no—
1000Dic13—41no—
1001Dic13—41no—
1002Dic13—41no—
1003Dic13—41no—
1004Dic13—41no—
1005Dic13—41no—
1006C25—131no—
1007C22×D4—131no—
1008C22×D4—131no—
1009C22×D4—131no—
1010C22×D4—131no—
1011C22×D4—131no—
1012C22×D4—131no—
1013C22×D4—131no—
1014C22×D4—131no—
1015C22×D4C22×D1311yescharacteristic
1016C22×D4C22×D1311yescharacteristic
1017C22×D4C22×D1311yescharacteristic
1018C22×D4C22×D1311yescharacteristic
1019C22×D4C22×D1311yescharacteristic
1020C22×D4C22×D1311yescharacteristic
1021C22×D4C22×D1311yescharacteristic
1022C22×D4C22×D1311yescharacteristic
1023C22×D4C22×D1311yescharacteristic
1024C22×D4C22×D1311yescharacteristic
1025C23×C4—131no—
1026C23×C4—131no—
1027C23×C4—131no—
1028C23×C4—131no—
1029C23×C4—131no—
1030C23×C4—131no—
1031C23×C4—131no—
1032C23×C4—131no—
1033C23×C4C22×D1311yescharacteristic
1034C23×C4C22×D1311yescharacteristic
1035#127—42no—
1036#125—522no—
1037#123—42no—
1038#123—522no—
1039#121—42no—
1040#121—42no—
1041#121—264no—
1042#121—264no—
1043#121—522no—
1044#121—522no—
1045#121—522no—
1046#121—522no—
1047#121—522no—
1048#121—522no—
1049#120—522no—
1050#120—522no—
1051#120—522no—
1052#120—522no—
1053C4×D4—522no—
1054C4×D4—522no—
1055C4×D4—522no—
1056C4×D4—522no—
1057C2×C4⋊C4—131no—
1058C2×C4⋊C4—131no—
1059C2×C4⋊C4—131no—
1060C2×C4⋊C4—131no—
1061C2×C4⋊C4—131no—
1062C2×C4⋊C4—131no—
1063C2×C4⋊C4—131no—
1064C2×C4⋊C4—131no—
1065C2×C4⋊C4—131no—
1066C2×C4⋊C4—131no—
1067C2×C4⋊C4—131no—
1068C2×C4⋊C4—131no—
1069C2×C4⋊C4—131no—
1070C2×C4⋊C4—131no—
1071C2×C4⋊C4—131no—
1072C2×C4⋊C4—131no—
1073C2×C4⋊C4—131no—
1074C2×C4⋊C4—131no—
1075C2×C4⋊C4—131no—
1076C2×C4⋊C4—131no—
1077C2×C4⋊C4—131no—
1078C2×C4⋊C4—131no—
1079C2×C4⋊C4—131no—
1080C2×C4⋊C4—522no—
1081C2×C4⋊C4C22×D1311yescharacteristic
1082C2×C4⋊C4C22×D1311yescharacteristic
1083C2×C4⋊C4C22×D1311yescharacteristic
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—131no—
1098C2×C22⋊C4—131no—
1099C2×C22⋊C4—131no—
1100C2×C22⋊C4—131no—
1101C2×C22⋊C4—131no—
1102C2×C22⋊C4—131no—
1103C2×C22⋊C4—131no—
1104C2×C22⋊C4—131no—
1105C2×C22⋊C4—131no—
1106C2×C22⋊C4—131no—
1107C2×C22⋊C4—131no—
1108C2×C22⋊C4—131no—
1109C2×C22⋊C4—131no—
1110C2×C22⋊C4—131no—
1111C2×C22⋊C4—131no—
1112C2×C22⋊C4—131no—
1113C2×C22⋊C4—131no—
1114C2×C22⋊C4—131no—
1115C2×C22⋊C4—131no—
1116C2×C22⋊C4—131no—
1117C2×C22⋊C4—131no—
1118C2×C22⋊C4—131no—
1119C2×C22⋊C4—131no—
1120C2×C22⋊C4—131no—
1121C2×C22⋊C4—131no—
1122C2×C22⋊C4—131no—
1123C2×C22⋊C4—131no—
1124C2×C22⋊C4—131no—
1125C2×C22⋊C4—131no—
1126C2×C22⋊C4—131no—
1127C2×C22⋊C4—264no—
1128C2×C22⋊C4—522no—
1129C2×C22⋊C4—522no—
1130C2×C22⋊C4C22×D1311yescharacteristic
1131C2×C22⋊C4C22×D1311yescharacteristic
1132C2×C22⋊C4C22×D1311yescharacteristic
1133C2×C22⋊C4C22×D1311yescharacteristic
1134C2×C22⋊C4C22×D1311yescharacteristic
1135C2×C22⋊C4C22×D1311yescharacteristic
1136C2×C22⋊C4C22×D1311yescharacteristic
1137C2×C22⋊C4C22×D1311yescharacteristic
1138C2×C22⋊C4C22×D1311yescharacteristic
1139C2×C22⋊C4C22×D1311yescharacteristic
1140C2×C22⋊C4C22×D1311yescharacteristic
1141C2×C22⋊C4C22×D1311yescharacteristic
1142C2×C22⋊C4C22×D1311yescharacteristic
1143C2×C42—131no—
1144C2×C42—131no—
1145C2×C42—131no—
1146C2×C42—131no—
1147C2×C42—131no—
1148C2×C42—131no—
1149C2×C42—131no—
1150C2×C42—522no—
1151C2×C42C22×D1311yescharacteristic
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95—131no—
1162#95—131no—
1163#95—131no—
1164#95—131no—
1165#95—131no—
1166#95—131no—
1167#95—131no—
1168#95—131no—
1169#95—131no—
1170#95—131no—
1171#95—131no—
1172#95—131no—
1173#95—131no—
1174#95—131no—
1175#95—131no—
1176#95—131no—
1177#95—131no—
1178#95—131no—
1179#95—131no—
1180#95—131no—
1181#95—131no—
1182#95C22×D1311yescharacteristic
1183#95C22×D1311yescharacteristic
1184#95C22×D1311yescharacteristic
1185#95C22×D1311yescharacteristic
1186#95C22×D1311yescharacteristic
1187#95C22×D1311yescharacteristic
1188C2×C13—81no—
1189C2×C13—81no—
1190C2×C13—81no—
1191C2×C13—81no—
1192C2×C13—81no—
1193C2×C13C2×#54011yescharacteristic
1194C2×C13#350511yescharacteristic
1195C2×C13#350611yescharacteristic
1196C2×C13#353411yescharacteristic
1197C2×C13#353711yescharacteristic
1198C2×C13#355811yescharacteristic
1199C2×C13#356011yescharacteristic
1200D13—24no—
1201D13—81no—
1202C24—131no—
1203C24—131no—
1204C24—262no—
1205C24—262no—
1206C24—262no—
1207C24—521no—
1208C24—521no—
1209C24—521no—
1210C24—521no—
1211C24C23×D1311yescharacteristic
1212C24C23×D1311yescharacteristic
1213C24C23×D1311yescharacteristic
1214C24C23×D1311yescharacteristic
1215C24C23×D1311yescharacteristic
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—262no—
1247C2×D4—262no—
1248C2×D4—262no—
1249C2×D4—262no—
1250C2×D4—262no—
1251C2×D4—262no—
1252C2×D4—262no—
1253C2×D4—262no—
1254C2×D4—262no—
1255C2×D4—262no—
1256C2×D4—262no—
1257C2×D4—262no—
1258C2×D4—521no—
1259C2×D4—521no—
1260C2×D4—521no—
1261C2×D4—521no—
1262C2×D4—521no—
1263C2×D4—521no—
1264C2×D4—521no—
1265C2×D4—521no—
1266C2×D4—521no—
1267C2×D4—521no—
1268C2×D4—521no—
1269C2×D4—521no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—131no—
1277C22×C4—134no—
1278C22×C4—131no—
1279C22×C4—131no—
1280C22×C4—131no—
1281C22×C4—131no—
1282C22×C4—131no—
1283C22×C4—131no—
1284C22×C4—131no—
1285C22×C4—131no—
1286C22×C4—131no—
1287C22×C4—131no—
1288C22×C4—131no—
1289C22×C4—131no—
1290C22×C4—131no—
1291C22×C4—262no—
1292C22×C4—262no—
1293C22×C4—262no—
1294C22×C4—262no—
1295C22×C4—262no—
1296C22×C4—262no—
1297C22×C4—262no—
1298C22×C4—521no—
1299C22×C4—521no—
1300C22×C4—521no—
1301C22×C4—521no—
1302C22×C4—521no—
1303C22×C4—521no—
1304C22×C4—521no—
1305C22×C4—521no—
1306C22×C4—521no—
1307C22×C4—521no—
1308C22×C4—521no—
1309C22×C4—521no—
1310C22×C4—521no—
1311C22×C4—521no—
1312C22×C4—521no—
1313C22×C4—521no—
1314C22×C4C23×D1311yescharacteristic
1315C22×C4C23×D1311yescharacteristic
1316C22×C4C23×D1311yescharacteristic
1317C22×C4C23×D1311yescharacteristic
1318C22×C4C23×D1311yescharacteristic
1319C22×C4C23×D1311yescharacteristic
1320C22×C4C23×D1311yescharacteristic
1321C22×C4C23×D1311yescharacteristic
1322C22×C4C23×D1311yescharacteristic
1323C22×C4C23×D1311yescharacteristic
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—262no—
1328C4⋊C4—262no—
1329C4⋊C4—262no—
1330C4⋊C4—262no—
1331C4⋊C4—262no—
1332C4⋊C4—521no—
1333C4⋊C4—521no—
1334C4⋊C4—521no—
1335C4⋊C4—521no—
1336C4⋊C4—521no—
1337C4⋊C4—521no—
1338C4⋊C4—521no—
1339C4⋊C4—521no—
1340C4⋊C4—521no—
1341C4⋊C4—521no—
1342C4⋊C4—521no—
1343C4⋊C4—521no—
1344C4⋊C4—521no—
1345C4⋊C4—521no—
1346C4⋊C4—521no—
1347C4⋊C4—521no—
1348C4⋊C4—521no—
1349C4⋊C4—521no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—262no—
1364C22⋊C4—262no—
1365C22⋊C4—262no—
1366C22⋊C4—262no—
1367C22⋊C4—262no—
1368C22⋊C4—262no—
1369C22⋊C4—262no—
1370C22⋊C4—262no—
1371C22⋊C4—262no—
1372C22⋊C4—262no—
1373C22⋊C4—262no—
1374C22⋊C4—262no—
1375C22⋊C4—262no—
1376C22⋊C4—521no—
1377C22⋊C4—521no—
1378C22⋊C4—521no—
1379C22⋊C4—521no—
1380C22⋊C4—521no—
1381C22⋊C4—521no—
1382C22⋊C4—521no—
1383C22⋊C4—521no—
1384C22⋊C4—521no—
1385C22⋊C4—521no—
1386C22⋊C4—521no—
1387C22⋊C4—521no—
1388C22⋊C4—521no—
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—521no—
1404C22⋊C4—521no—
1405C22⋊C4—521no—
1406C42—22no—
1407C42—262no—
1408C42—521no—
1409C42—521no—
1410C42—521no—
1411C42—521no—
1412C42—521no—
1413C42—521no—
1414C13#3675911yescharacteristic, complemented, Sylow
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—132no—
1451C23—132no—
1452C23—132no—
1453C23—261no—
1454C23—261no—
1455C23—261no—
1456C23—261no—
1457C23—261no—
1458C23—261no—
1459C23—261no—
1460C23—261no—
1461C23—261no—
1462C23—261no—
1463C23—261no—
1464C23—524no—
1465C23—524no—
1466C23—524no—
1467C23—1042no—
1468C23—1042no—
1469C23—1042no—
1470C23—1042no—
1471C23C24×D1311yescharacteristic
1472D4—82no—
1473D4—82no—
1474D4—82no—
1475D4—82no—
1476D4—82no—
1477D4—82no—
1478D4—82no—
1479D4—82no—
1480D4—82no—
1481D4—82no—
1482D4—524no—
1483D4—524no—
1484D4—524no—
1485D4—524no—
1486D4—1042no—
1487D4—1042no—
1488D4—1042no—
1489D4—1042no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—82no—
1518C2×C4—82no—
1519C2×C4—132no—
1520C2×C4—261no—
1521C2×C4—261no—
1522C2×C4—261no—
1523C2×C4—261no—
1524C2×C4—261no—
1525C2×C4—261no—
1526C2×C4—261no—
1527C2×C4—261no—
1528C2×C4—261no—
1529C2×C4—261no—
1530C2×C4—261no—
1531C2×C4—261no—
1532C2×C4—261no—
1533C2×C4—261no—
1534C2×C4—261no—
1535C2×C4—261no—
1536C2×C4—261no—
1537C2×C4—261no—
1538C2×C4—261no—
1539C2×C4—261no—
1540C2×C4—261no—
1541C2×C4—261no—
1542C2×C4—261no—
1543C2×C4—261no—
1544C2×C4—261no—
1545C2×C4—261no—
1546C2×C4—261no—
1547C2×C4—261no—
1548C2×C4—261no—
1549C2×C4—261no—
1550C2×C4—261no—
1551C2×C4—261no—
1552C2×C4—261no—
1553C2×C4—261no—
1554C2×C4—261no—
1555C2×C4—261no—
1556C2×C4—261no—
1557C2×C4—261no—
1558C2×C4—261no—
1559C2×C4—261no—
1560C2×C4—261no—
1561C2×C4—524no—
1562C2×C4—524no—
1563C2×C4—524no—
1564C2×C4—524no—
1565C2×C4—1042no—
1566C2×C4—1042no—
1567C2×C4—1042no—
1568C2×C4—1042no—
1569C2×C4#8825112yes—
1570C2×C4#8825112yes—
1571C2×C4#41×D1312yes—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—134no—
1608C22—262no—
1609C22—262no—
1610C22—262no—
1611C22—262no—
1612C22—262no—
1613C22—262no—
1614C22—521no—
1615C22—521no—
1616C22—521no—
1617C22—521no—
1618C22—521no—
1619C22—521no—
1620C22—521no—
1621C22—1048no—
1622C22C2×#8825111yescharacteristic
1623C22C2×#8825111yescharacteristic
1624C22C2×#41×D1311yescharacteristic
1625C22D13×H(5,𝔽2)11yescharacteristic
1626C22D13×H(5,𝔽2)11yescharacteristic
1627C22#1171965011yescharacteristic
1628C22#1171965011yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—262no—
1640C4—521no—
1641C4—521no—
1642C4—521no—
1643C4—521no—
1644C4—521no—
1645C4—521no—
1646C4—521no—
1647C4—521no—
1648C4—521no—
1649C4—521no—
1650C4—521no—
1651C4—521no—
1652C4—521no—
1653C2—81no—
1654C2—81no—
1655C2—81no—
1656C2—81no—
1657C2—81no—
1658C2—264no—
1659C2—1041no—
1660C2D13×#54011yescharacteristic
1661C2#1312866311yescharacteristic
1662C2#1312868011yescharacteristic
1663C2#1312901611yescharacteristic
1664C2#1312906711yescharacteristic
1665C2#1312935411yescharacteristic
1666C2#1312938611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2673C2
hypercenter#2673D13
hypocenterC13#36759
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2673

Complements

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

NH ≅ G/Ntype
1. #13123178C2semidirect
2. #13123143C2semidirect
3. #13122775C2semidirect
4. #13122768C2semidirect
5. #13122695C2semidirect
6. #13122693C2semidirect
7. #13122649C2semidirect
8. #13122645C2semidirect
9. #13122115C2semidirect
10. #13122107C2semidirect
11. #13122104C2semidirect
12. #13122103C2semidirect
13. #13121595C2semidirect
14. #13121587C2semidirect
15. #13121445C2semidirect
16. #13121443C2semidirect
17. #13121096C2semidirect
18. #13120569C2semidirect
19. #13120569C2semidirect
20. #13118583C2semidirect
21. #13118579C2semidirect
22. #13118568C2semidirect
23. #13118564C2semidirect
24. #13118375C2semidirect
25. #13118375C2semidirect
26. #13118369C2semidirect
27. #13118369C2semidirect
28. #13117538C2semidirect
29. #13117538C2semidirect
30. D13×#388C2semidirect
31. C13×#2673C2semidirect
32. C2×C13×#127C22semidirect
33. C2×C13×#123C22semidirect
48. C2×#88189C22semidirect
52. C2×#88143C22semidirect
59. C13×#394C22semidirect
60. C13×#394C22semidirect
66. C13×#387C22semidirect
67. C13×#386C22semidirect
68. C13×#386C22semidirect
69. C13×#386C22semidirect
82. #11718883C22semidirect
83. #11718883C22semidirect
86. #11718882C22semidirect
87. #11718882C22semidirect
88. #11718882C22semidirect
89. #11718882C22semidirect
90. #11718882C22semidirect
91. #11718882C22semidirect
94. #11718881C22semidirect
95. #11718881C22semidirect
96. #11718881C22semidirect
99. #11718872C22semidirect
100. #11718871C22semidirect
101. #11718871C22semidirect
102. #11718871C22semidirect
108. #11718645C22semidirect
109. #11718645C22semidirect
110. #11718642C22semidirect
111. #11718642C22semidirect
112. #11718633C22semidirect
133. #11718614C22semidirect
134. #11718614C22semidirect
135. #11718613C22semidirect
136. #11718613C22semidirect
137. #11718613C22semidirect
138. #11718613C22semidirect
142. #11718612C22semidirect
143. #11718612C22semidirect
144. #11718611C22semidirect
145. #11718610C22semidirect
146. #11718610C22semidirect
149. #11718607C22semidirect
150. #11718607C22semidirect
152. #11718606C22semidirect
153. #11718606C22semidirect
154. #11718606C22semidirect
155. #11718606C22semidirect
157. #11718605C22semidirect
158. #11718605C22semidirect
159. #11718604C22semidirect
161. #11718596C22semidirect
162. #11718594C22semidirect
175. #11718321C22semidirect
176. #11718321C22semidirect
177. #11718316C22semidirect
178. #11718316C22semidirect
179. #11718316C22semidirect
180. #11718315C22semidirect
181. #11718315C22semidirect
182. #11718315C22semidirect
183. #11718314C22semidirect
184. #11718314C22semidirect
185. #11718311C22semidirect
186. #11718308C22semidirect
599. #2673D13semidirect
770. C2×#127C2×D13semidirect
773. C2×#123C2×D13semidirect
835. #394C2×D13semidirect
836. #394C2×D13semidirect
888. #387C2×D13semidirect
904. #386C2×D13semidirect
905. #386C2×D13semidirect
906. #386C2×D13semidirect
1414. C13#36759semidirect

Maximal subgroups

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

subgroupindex
#131231782
#131231432
#131227752
#131227682
#131226952
#131226932
#131226492
#131226452
#131221152
#131221072
#131221042
#131221032
#131215952
#131215872
#131214452
#131214432
#131210962
#131205692
#131185832
#131185792
#131185682
#131185642
#131183752
#131183692
#131175382
D13×#3882
C13×#26732
#3675913