Finite Group Databasebeta

← #16026607

Subgroups — #16026607

Order 3328.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719298C211yesmaximal, characteristic
2#13118006C211yesmaximal, characteristic, complemented
3#13118005C211yesmaximal, characteristic, complemented
4#13117986C211yesmaximal, characteristic, complemented
5#13117985C211yesmaximal, characteristic, complemented
6#13117909C211yesmaximal, characteristic, complemented
7#13117902C211yesmaximal, characteristic, complemented
8#13117834C211yesmaximal, characteristic, complemented
9#13117829C211yesmaximal, characteristic, complemented
10#13117820C211yesmaximal, characteristic, complemented
11#13117815C211yesmaximal, characteristic, complemented
12#13117815C211yesmaximal, characteristic, complemented
13#13117763C211yesmaximal, characteristic, complemented
14#13117759C211yesmaximal, characteristic, complemented
15#13117742C211yesmaximal, characteristic, complemented
16#13117741C211yesmaximal, characteristic, complemented
17#13117613C211yesmaximal, characteristic, complemented
18#13117609C211yesmaximal, characteristic, complemented
19#13117608C211yesmaximal, characteristic, complemented
20#13117606C211yesmaximal, characteristic, complemented
21#13117564C211yesmaximal, characteristic, complemented
22#13117538C211yesmaximal, characteristic, complemented
23#13117537C211yesmaximal, characteristic, complemented
24#13117534C211yesmaximal, characteristic, complemented
25#13117532C211yesmaximal, characteristic, complemented
26#13117526C211yesmaximal, characteristic, complemented
27#13117448C211yesmaximal, characteristic, complemented
28#13117368C211yesmaximal, characteristic, complemented
29C4×#88193C211yesmaximal, characteristic, complemented
30C2×#11718605C211yesmaximal, characteristic, complemented
31C13×#2358C211yesmaximal, characteristic, complemented
32C2×C13×#120C2211yescharacteristic
33C2×C4×D4×C13C2211yescharacteristic
34C2×C4×D4×C13C2211yescharacteristic
35C22×C13×C22⋊C4C2211yescharacteristic
36C22×C13×C22⋊C4C2211yescharacteristic
37C2×#88207C2211yescharacteristic
38C22×C22⋊Dic13C2211yescharacteristic
39C22×C22⋊Dic13C2211yescharacteristic
40C22×C22⋊Dic13C2211yescharacteristic
41C2×#88193C2211yescharacteristic
42C2×#88193C2211yescharacteristic
43C2×#88192C2211yescharacteristic
44C2×#88190C2211yescharacteristic
45C2×#88189C2211yescharacteristic
46C2×D4×Dic13C2211yescharacteristic
47C2×D4×Dic13C2211yescharacteristic
48C2×D4×Dic13C2211yescharacteristic
49C2×C4×C22⋊D13C2211yescharacteristic
50C2×C4×C22⋊D13C2211yescharacteristic
51C2×C4×C22⋊D13C2211yescharacteristic, complemented
52C22×#6101C2211yescharacteristic
53C22×C4×Dic13C2211yescharacteristic
54#11719298C4116yescomplemented
55C2×#88141C2211yescharacteristic, complemented
56C2×#88139C2211yescharacteristic
57C2×#88137C2211yescharacteristic
58C2×#88135C2211yescharacteristic
59C2×#88135C2211yescharacteristic
60C2×#88135C2211yescharacteristic
61C2×#88133C2211yescharacteristic
62C2×#88133C2211yescharacteristic
63C2×#88132C2211yescharacteristic
64C2×#88131C2211yescharacteristic, complemented
65C2×#88126C2211yescharacteristic, complemented
66C13×#390C2211yescharacteristic
67C13×#388C2211yescharacteristic
68C13×#388C2211yescharacteristic
69C13×#386C2211yescharacteristic
70C13×#386C2211yescharacteristic
71C13×#386C2211yescharacteristic
72C13×#385C2211yescharacteristic
73C13×#385C2211yescharacteristic
74C4×C13×C22⋊C4C2211yescharacteristic
75C4×C13×C22⋊C4C2211yescharacteristic
76#11718882C2211yescharacteristic
77#11718881C2211yescharacteristic
78#11718881C2211yescharacteristic
79#11718881C2211yescharacteristic
80#11718874C2211yescharacteristic
81#11718874C2211yescharacteristic
82#11718871C2211yescharacteristic
83#11718871C2211yescharacteristic
84#11718871C2211yescharacteristic
85#11718871C2211yescharacteristic
86#11718871C2211yescharacteristic
87#11718871C2211yescharacteristic
88#11718871C2211yescharacteristic, complemented
89C4×C22⋊Dic13C2211yescharacteristic
90C4×C22⋊Dic13C2211yescharacteristic
91C4×C22⋊Dic13C2211yescharacteristic, complemented
92C2×#88071C2211yescharacteristic
93C2×#88071C2211yescharacteristic
94C2×#88071C2211yescharacteristic, complemented
95#11718651C2211yescharacteristic, complemented
96#11718650C2211yescharacteristic, complemented
97#11718648C2211yescharacteristic, complemented
98#11718639C2211yescharacteristic, complemented
99#11718638C2211yescharacteristic, complemented
100C4⋊C4×Dic13C2211yescharacteristic, complemented
101C4⋊C4×Dic13C2211yescharacteristic, complemented
102#11718634C2211yescharacteristic, complemented
103#11718633C2211yescharacteristic, complemented
104#11718633C2211yescharacteristic, complemented
105#11718633C2211yescharacteristic, complemented
106#11718619C2211yescharacteristic
107#11718619C2211yescharacteristic
108#11718619C2211yescharacteristic, complemented
109#11718618C2211yescharacteristic
110#11718618C2211yescharacteristic
111#11718618C2211yescharacteristic, complemented
112#11718617C2211yescharacteristic
113#11718617C2211yescharacteristic
114#11718617C2211yescharacteristic, complemented
115#11718612C2211yescharacteristic
116#11718612C2211yescharacteristic
117#11718611C2211yescharacteristic
118#11718611C2211yescharacteristic
119#11718607C2211yescharacteristic
120#11718607C2211yescharacteristic
121#11718607C2211yescharacteristic
122#11718607C2211yescharacteristic
123#11718607C2211yescharacteristic
124#11718607C2211yescharacteristic
125#11718607C2211yescharacteristic, complemented
126#11718607C2211yescharacteristic, complemented
127#11718606C2211yescharacteristic
128#11718606C2211yescharacteristic
129#11718606C2211yescharacteristic, complemented
130#11718606C2211yescharacteristic, complemented
131#11718606C2211yescharacteristic, complemented
132#11718605C2211yescharacteristic
133#11718605C2211yescharacteristic
134#11718605C2211yescharacteristic
135#11718605C2211yescharacteristic
136#11718605C2211yescharacteristic
137#11718605C2211yescharacteristic
138#11718605C2211yescharacteristic
139#11718605C2211yescharacteristic
140#11718605C2211yescharacteristic
141#11718605C2211yescharacteristic
142#11718605C2211yescharacteristic, complemented
143#11718603C2211yescharacteristic
144#11718603C2211yescharacteristic
145#11718603C2211yescharacteristic
146#11718603C2211yescharacteristic
147#11718603C2211yescharacteristic, complemented
148#11718603C2211yescharacteristic, complemented
149C22⋊C4×Dic13C2211yescharacteristic
150C22⋊C4×Dic13C2211yescharacteristic
151C22⋊C4×Dic13C2211yescharacteristic
152C22⋊C4×Dic13C2211yescharacteristic
153#11718601C2211yescharacteristic, complemented
154C4×#6103C2211yescharacteristic, complemented
155#11718594C2211yescharacteristic, complemented
156#11718594C2211yescharacteristic, complemented
157#11718594C2211yescharacteristic, complemented
158C4×#6101C2211yescharacteristic, complemented
159C4×#6101C2211yescharacteristic, complemented
160C4×#6101C2211yescharacteristic, complemented
161#11718590C2211yescharacteristic, complemented
162#11718589C2211yescharacteristic, complemented
163#11718589C2211yescharacteristic, complemented
164#11718330C2211yescharacteristic, complemented
165#11718330C2211yescharacteristic, complemented
166#11718329C2211yescharacteristic, complemented
167#11718329C2211yescharacteristic, complemented
168#11718328C2211yescharacteristic, complemented
169D13×#95C2211yescharacteristic, complemented
170#11718316C2211yescharacteristic, complemented
171#11718316C2211yescharacteristic, complemented
172#11718315C2211yescharacteristic, complemented
173#11718315C2211yescharacteristic, complemented
174#11718314C2211yescharacteristic, complemented
175#11718314C2211yescharacteristic, complemented
176#11718313C2211yescharacteristic, complemented
177#11718313C2211yescharacteristic, complemented
178#11718311C2211yescharacteristic, complemented
179#11718311C2211yescharacteristic, complemented
180#11718311C2211yescharacteristic, complemented
181#11718310C2211yescharacteristic, complemented
182#11718310C2211yescharacteristic, complemented
183#11718310C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188C25×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C23×Dic13C2311yescharacteristic
206C23×Dic13C2311yescharacteristic
207C23×Dic13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C13×#120C2×C418yescomplemented
214C4×D4×C13—42no—
215C4×D4×C13—42no—
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C22⋊C4—42no—
220C2×C13×C22⋊C4—42no—
221C2×C13×C22⋊C4C2311yescharacteristic
222C2×C13×C22⋊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×C42×C13C2311yescharacteristic
236C2×C42×C13C2311yescharacteristic
237C2×C42×C13C2311yescharacteristic
238#88207C2×C418yescomplemented
239C2×C22⋊Dic13—42no—
240C2×C22⋊Dic13—42no—
241C2×C22⋊Dic13C2×C418yescomplemented
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
262#88193C2×C418yescomplemented
263#88193C2×C418yescomplemented
264#88192C2×C418yescomplemented
265#88190C2×C418yescomplemented
266#88189C2×C418yescomplemented
267D4×Dic13—42no—
268D4×Dic13—42no—
269D4×Dic13C2×C418yescomplemented
270C4×C22⋊D13—42no—
271C4×C22⋊D13—42no—
272C4×C22⋊D13—42no—
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282C2×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×#6101—42no—
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×C4×Dic13—42no—
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321C2×C4×Dic13C2311yescharacteristic
322C2×C4×Dic13C2311yescharacteristic
323C2×C4×Dic13C2311yescharacteristic
324C2×C4×Dic13C2311yescharacteristic
325#88141—42no—
326#88139C2×C418yescomplemented
327#88137C2×C418yescomplemented
328#88135—42no—
329#88135—42no—
330#88135C2×C418yescomplemented
331#88133C2×C418yescomplemented
332#88133C2×C418yescomplemented
333#88132C2×C418yescomplemented
334#88131—42no—
335#88126—42no—
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
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#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#34424—131nomaximal, Sylow
377C24×C13—22no—
378C24×C13—22no—
379C24×C13—41no—
380C24×C13—41no—
381C24×C13—41no—
382C24×C13—41no—
383C24×C13C22×C414yes—
384C24×C13C2411yescharacteristic
385C24×C13C2411yescharacteristic
386C24×C13C2411yescharacteristic
387C24×C13C2411yescharacteristic
388C23×D13C2411yescharacteristic
389C2×D4×C13—22no—
390C2×D4×C13—22no—
391C2×D4×C13—41no—
392C2×D4×C13—41no—
393C2×D4×C13—41no—
394C2×D4×C13—41no—
395C2×D4×C13C22×C414yes—
396C2×D4×C13C22×C414yes—
397C2×D4×C13C22×C414yes—
398C22×C4×C13—22no—
399C22×C4×C13—22no—
400C22×C4×C13—22no—
401C22×C4×C13—22no—
402C22×C4×C13—41no—
403C22×C4×C13—41no—
404C22×C4×C13—41no—
405C22×C4×C13—41no—
406C22×C4×C13—41no—
407C22×C4×C13—41no—
408C22×C4×C13—41no—
409C22×C4×C13—41no—
410C22×C4×C13—41no—
411C22×C4×C13—41no—
412C22×C4×C13—41no—
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C2×C22⋊D13—22no—
425C2×C22⋊D13—22no—
426C2×C22⋊D13—41no—
427C2×C22⋊D13—41no—
428C2×C22⋊D13—41no—
429C2×C22⋊D13—41no—
430C2×C22⋊D13—41no—
431C2×C22⋊D13—41no—
432C2×C22⋊D13C22×C414yes—
433C2×C22⋊D13C22×C414yes—
434C2×C22⋊D13C22×C414yes—
435C2×C22⋊D13C22×C414yes—
436C22×Dic13—22no—
437C22×Dic13—22no—
438C22×Dic13—22no—
439C22×Dic13—41no—
440C22×Dic13—41no—
441C22×Dic13—41no—
442C22×Dic13—41no—
443C22×Dic13—41no—
444C22×Dic13—41no—
445C22×Dic13—41no—
446C22×Dic13—41no—
447C22×Dic13—41no—
448C22×Dic13—41no—
449C22×Dic13—41no—
450C22×Dic13—41no—
451C22×Dic13—41no—
452C22×Dic13—41no—
453C22×Dic13—41no—
454C22×Dic13—41no—
455C22×Dic13—41no—
456C22×Dic13—41no—
457C22×Dic13C22×C414yes—
458C22×Dic13C22×C414yes—
459C22×Dic13C22×C414yes—
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
474C22×Dic13C2411yescharacteristic
475C2×C4×D13—22no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×C4×D13—41no—
479C2×C4×D13—41no—
480C2×C4×D13—41no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13C22×C414yes—
484C2×Dic26—41no—
485C2×Dic26—41no—
486C2×Dic26C22×C414yes—
487C13×C4⋊C4—22no—
488C13×C4⋊C4—41no—
489C13×C4⋊C4—41no—
490C13×C22⋊C4—22no—
491C13×C22⋊C4—22no—
492C13×C22⋊C4—22no—
493C13×C22⋊C4—22no—
494C13×C22⋊C4—41no—
495C13×C22⋊C4—41no—
496C13×C22⋊C4—41no—
497C13×C22⋊C4—41no—
498C13×C22⋊C4—41no—
499C13×C22⋊C4—41no—
500C13×C22⋊C4—41no—
501C13×C22⋊C4C22×C414yes—
502C13×C22⋊C4C22×C414yes—
503C13×C22⋊C4C22×C414yes—
504C42×C13—41no—
505C42×C13—41no—
506C42×C13—41no—
507C22⋊Dic13—22no—
508C22⋊Dic13—22no—
509C22⋊Dic13—22no—
510C22⋊Dic13—22no—
511C22⋊Dic13—22no—
512C22⋊Dic13—41no—
513C22⋊Dic13—41no—
514C22⋊Dic13—41no—
515C22⋊Dic13—41no—
516C22⋊Dic13—41no—
517C22⋊Dic13—41no—
518C22⋊Dic13C22×C414yes—
519C22⋊Dic13C22×C414yes—
520C22⋊Dic13C22×C414yes—
521C22⋊Dic13C22×C414yes—
522C22⋊Dic13C22×C414yes—
523C22⋊Dic13C22×C414yes—
524C22⋊Dic13C22×C414yes—
525C22⋊Dic13C22×C414yes—
526C22⋊Dic13C22×C414yes—
527#6103—22no—
528#6103—41no—
529#6103—41no—
530#6103—41no—
531#6103—41no—
532#6103—41no—
533#6103C22×C414yes—
534#6103C22×C414yes—
535C4⋊Dic13—41no—
536C4⋊Dic13—41no—
537C4⋊Dic13—41no—
538C4⋊Dic13C22×C414yes—
539C4⋊Dic13C22×C414yes—
540#6101—22no—
541#6101—22no—
542#6101—22no—
543#6101—41no—
544#6101—41no—
545#6101—41no—
546#6101—41no—
547#6101—41no—
548#6101—41no—
549#6101—41no—
550#6101—41no—
551#6101—41no—
552#6101—41no—
553#6101—41no—
554#6101—41no—
555#6101—41no—
556#6101—41no—
557#6101—41no—
558#6101C22×C414yes—
559#6101C22×C414yes—
560#6101C22×C414yes—
561#6101C22×C414yes—
562C4×Dic13—22no—
563C4×Dic13—22no—
564C4×Dic13—22no—
565C4×Dic13—22no—
566C4×Dic13—41no—
567C4×Dic13—41no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574C4×Dic13—41no—
575C4×Dic13C22×C414yes—
576C4×Dic13C22×C414yes—
577C2×#538—131no—
578#2379—131no—
579#2379—131no—
580#2376—131no—
581#2376—131no—
582#2367—131no—
583#2367—131no—
584#2359—131no—
585#2359—131no—
586#2358—131no—
587#2358—131no—
588#2358—131no—
589#2358D1311yescharacteristic, complemented
590#2352—131no—
591#2352—131no—
592#2349—131no—
593#2349—131no—
594#2334—131no—
595#2334—131no—
596#2334—131no—
597#2334—131no—
598#2329—131no—
599#2325—131no—
600#2325—131no—
601#2325—131no—
602#2324—131no—
603#2324—131no—
604#2315—131no—
605C4×C22⋊Q8—131no—
606C4×#121—131no—
607C2×#388—131no—
608C23×C13—21no—
609C23×C13—21no—
610C23×C13—21no—
611C23×C13—21no—
612C23×C13—21no—
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—28no—
631C23×C13—44no—
632C23×C13—44no—
633C23×C13—82no—
634C23×C13—82no—
635C23×C13—82no—
636C23×C13—82no—
637C23×C13C23×C412yes—
638C23×C13C23×C412yes—
639C23×C13C23×C412yes—
640C23×C13C23×C412yes—
641C23×C13H(5,𝔽2)12yes—
642C23×C132−1+412yes—
643C23×C13C2511yescharacteristic
644C22×D13—21no—
645C22×D13—21no—
646C22×D13—21no—
647C22×D13—21no—
648C22×D13—21no—
649C22×D13—21no—
650C22×D13C23×C412yes—
651D4×C13—28no—
652D4×C13—44no—
653D4×C13—44no—
654C2×C4×C13—21no—
655C2×C4×C13—21no—
656C2×C4×C13—21no—
657C2×C4×C13—21no—
658C2×C4×C13—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—44no—
684C2×C4×C13—82no—
685C2×C4×C13—82no—
686C2×C4×C13—82no—
687C2×C4×C13—82no—
688C2×C4×C13C23×C412yes—
689C2×C4×C13C23×C412yes—
690C2×C4×C13C23×C412yes—
691C2×C4×C13H(5,𝔽2)12yes—
692C22⋊D13—28no—
693C22⋊D13—44no—
694C22⋊D13—44no—
695C22⋊D13—44no—
696C2×Dic13—21no—
697C2×Dic13—21no—
698C2×Dic13—21no—
699C2×Dic13—21no—
700C2×Dic13—21no—
701C2×Dic13—21no—
702C2×Dic13—21no—
703C2×Dic13—21no—
704C2×Dic13—21no—
705C2×Dic13—21no—
706C2×Dic13—21no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
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—44no—
734C2×Dic13—44no—
735C2×Dic13—44no—
736C2×Dic13—44no—
737C2×Dic13—82no—
738C2×Dic13—82no—
739C2×Dic13—82no—
740C2×Dic13—82no—
741C2×Dic13C23×C412yes—
742C2×Dic13C23×C412yes—
743C2×Dic13C23×C412yes—
744C2×Dic13C23×C412yes—
745C2×Dic13C23×C412yes—
746C2×Dic13C23×C412yes—
747C2×Dic13C23×C412yes—
748C2×Dic13H(5,𝔽2)12yes—
749C4×D13—44no—
750C4×D13—82no—
751C4×D13—82no—
752Dic26—44no—
753#538—1316no—
754C2×#126—131no—
755C2×#126—131no—
756C2×#124—131no—
757C2×#124—131no—
758C2×#123—131no—
759C2×#123—131no—
760C2×C22⋊Q8—131no—
761C2×#121—131no—
762C2×#121—131no—
763C2×#121—131no—
764C2×#120—131no—
765C2×#120C2×D1311yescharacteristic
766C2×C4×Q8—131no—
767C2×C4×D4—131no—
768C2×C4×D4—131no—
769C2×C4×D4—131no—
770C2×C4×D4—131no—
771C2×C4×D4—131no—
772C2×C4×D4—131no—
773C2×C4×D4—131no—
774C2×C4×D4—131no—
775C2×C4×D4—131no—
776C2×C4×D4C2×D1311yescharacteristic
777C2×C4×D4C2×D1311yescharacteristic
778C2×#117—131no—
779C2×#117—131no—
780C22×C4⋊C4—131no—
781C22×C22⋊C4—131no—
782C22×C22⋊C4—131no—
783C22×C22⋊C4—131no—
784C22×C22⋊C4C2×D1311yescharacteristic
785C22×C22⋊C4C2×D1311yescharacteristic
786C22×C42—131no—
787#391—131no—
788#391—131no—
789#391—131no—
790#390—131no—
791#390—131no—
792#390—131no—
793#390—131no—
794#390C2×D1311yescharacteristic
795#389—131no—
796#389—131no—
797#389—131no—
798#389—131no—
799#389—131no—
800#389—131no—
801#389—131no—
802#389—131no—
803#388—131no—
804#388—131no—
805#388—131no—
806#388—131no—
807#388—131no—
808#388—131no—
809#388—131no—
810#388—131no—
811#388—131no—
812#388—131no—
813#388—131no—
814#388—131no—
815#388—131no—
816#388—131no—
817#388—131no—
818#388—131no—
819#388—131no—
820#388—131no—
821#388—131no—
822#388—131no—
823#388—131no—
824#388—131no—
825#388C2×D1311yescharacteristic
826#388C2×D1311yescharacteristic
827#387—131no—
828#387—131no—
829#387—131no—
830#387—131no—
831#387—131no—
832#387—131no—
833#387—131no—
834#387—131no—
835#387—131no—
836#387—131no—
837#387—131no—
838#387—131no—
839#386—131no—
840#386—131no—
841#386—131no—
842#386—131no—
843#386—131no—
844#386—131no—
845#386—131no—
846#386—131no—
847#386—131no—
848#386—131no—
849#386—131no—
850#386C2×D1311yescharacteristic
851#386C2×D1311yescharacteristic
852#386C2×D1311yescharacteristic
853#385—131no—
854#385—131no—
855#385—131no—
856#385—131no—
857#385—131no—
858#385—131no—
859#385—131no—
860#385—131no—
861#385—131no—
862#385—131no—
863#385—131no—
864#385—131no—
865#385—131no—
866#385—131no—
867#385—131no—
868#385—131no—
869#385—131no—
870#385—131no—
871#385—131no—
872#385—131no—
873#385C2×D1311yescharacteristic
874#385C2×D1311yescharacteristic
875#382—131no—
876#382—131no—
877#382—131no—
878#382—131no—
879#380—131no—
880#380—131no—
881#380—131no—
882#380—131no—
883#380—131no—
884#380—131no—
885#380—131no—
886#380—131no—
887C4×C4⋊C4—131no—
888C4×C4⋊C4—131no—
889C4×C4⋊C4—131no—
890C4×C4⋊C4—131no—
891C4×C4⋊C4—131no—
892C4×C4⋊C4—131no—
893C4×C4⋊C4—131no—
894C4×C4⋊C4—131no—
895C4×C22⋊C4—131no—
896C4×C22⋊C4—131no—
897C4×C22⋊C4—131no—
898C4×C22⋊C4—131no—
899C4×C22⋊C4—131no—
900C4×C22⋊C4—131no—
901C4×C22⋊C4—131no—
902C4×C22⋊C4—131no—
903C4×C22⋊C4C2×D1311yescharacteristic
904C4×C22⋊C4C2×D1311yescharacteristic
905C2×#95—131no—
906C2×#95—131no—
907C2×#95—131no—
908C2×#95—131no—
909C22×C13—22no—
910C22×C13—22no—
911C22×C13—22no—
912C22×C13—22no—
913C22×C13—22no—
914C22×C13—22no—
915C22×C13—22no—
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—22no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—22no—
922C22×C13—22no—
923C22×C13—22no—
924C22×C13—41no—
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—88no—
937C22×C13#52014yes—
938C22×C13C24×C411yescharacteristic
939C22×C13C2×H(5,𝔽2)11yescharacteristic
940C22×C13C2×H(5,𝔽2)11yescharacteristic
941C22×C13C2×H(5,𝔽2)11yescharacteristic
942C22×C13C2×2−1+411yescharacteristic
943C22×C13#58511yescharacteristic
944C22×C13#58511yescharacteristic
945C2×D13—22no—
946C2×D13—22no—
947C2×D13—22no—
948C2×D13—41no—
949C2×D13—41no—
950C2×D13—41no—
951C2×D13—41no—
952C4×C13—22no—
953C4×C13—22no—
954C4×C13—22no—
955C4×C13—22no—
956C4×C13—41no—
957C4×C13—41no—
958C4×C13—41no—
959C4×C13—41no—
960C4×C13—41no—
961C4×C13—41no—
962C4×C13—41no—
963Dic13—22no—
964Dic13—22no—
965Dic13—22no—
966Dic13—22no—
967Dic13—22no—
968Dic13—22no—
969Dic13—22no—
970Dic13—22no—
971Dic13—41no—
972Dic13—41no—
973Dic13—41no—
974Dic13—41no—
975Dic13—41no—
976Dic13—41no—
977Dic13—41no—
978C25C22×D1311yescharacteristic
979C22×Q8—131no—
980C22×D4—131no—
981C22×D4—131no—
982C22×D4—131no—
983C22×D4—131no—
984C22×D4C22×D1311yescharacteristic
985C22×D4C22×D1311yescharacteristic
986C22×D4C22×D1311yescharacteristic
987C23×C4—131no—
988C23×C4—131no—
989C23×C4—131no—
990C23×C4—131no—
991C23×C4—131no—
992C23×C4—131no—
993C23×C4—131no—
994C23×C4—131no—
995C23×C4—131no—
996C23×C4—131no—
997C23×C4—131no—
998C23×C4C22×D1311yescharacteristic
999C23×C4C22×D1311yescharacteristic
1000C23×C4C22×D1311yescharacteristic
1001C23×C4C22×D1311yescharacteristic
1002C23×C4C22×D1311yescharacteristic
1003#126—138no—
1004#126—138no—
1005#124—138no—
1006#124—138no—
1007#123—138no—
1008#123—138no—
1009C22⋊Q8—138no—
1010#121—138no—
1011#121—138no—
1012#121—138no—
1013#120—138no—
1014#120C4×D1318yescomplemented
1015C4×Q8—522no—
1016C4×D4—42no—
1017C4×D4—42no—
1018C4×D4—138no—
1019C4×D4—138no—
1020C4×D4—522no—
1021C4×D4—522no—
1022C4×D4—522no—
1023C4×D4—522no—
1024C4×D4—522no—
1025C4×D4—522no—
1026C4×D4—522no—
1027#117—522no—
1028#117—522no—
1029C2×C4⋊C4—131no—
1030C2×C4⋊C4—131no—
1031C2×C4⋊C4—131no—
1032C2×C4⋊C4—131no—
1033C2×C4⋊C4—131no—
1034C2×C4⋊C4—131no—
1035C2×C4⋊C4—131no—
1036C2×C4⋊C4—131no—
1037C2×C4⋊C4—131no—
1038C2×C4⋊C4—131no—
1039C2×C4⋊C4—131no—
1040C2×C4⋊C4—131no—
1041C2×C4⋊C4—131no—
1042C2×C4⋊C4—131no—
1043C2×C4⋊C4—131no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C4⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4—131no—
1055C2×C4⋊C4—131no—
1056C2×C4⋊C4—522no—
1057C2×C4⋊C4C22×D1311yescharacteristic
1058C2×C4⋊C4C22×D1311yescharacteristic
1059C2×C4⋊C4C22×D1311yescharacteristic
1060C2×C22⋊C4—42no—
1061C2×C22⋊C4—42no—
1062C2×C22⋊C4—138no—
1063C2×C22⋊C4—131no—
1064C2×C22⋊C4—131no—
1065C2×C22⋊C4—131no—
1066C2×C22⋊C4—131no—
1067C2×C22⋊C4—131no—
1068C2×C22⋊C4—131no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—131no—
1078C2×C22⋊C4—131no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
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—522no—
1092C2×C22⋊C4—522no—
1093C2×C22⋊C4C22×D1311yescharacteristic
1094C2×C22⋊C4C22×D1311yescharacteristic
1095C2×C22⋊C4C22×D1311yescharacteristic
1096C2×C22⋊C4C22×D1311yescharacteristic
1097C2×C22⋊C4C22×D1311yescharacteristic
1098C2×C22⋊C4C22×D1311yescharacteristic
1099C2×C22⋊C4C22×D1311yescharacteristic
1100C2×C22⋊C4C22×D1311yescharacteristic
1101C2×C22⋊C4C22×D1311yescharacteristic
1102C2×C22⋊C4C22×D1311yescharacteristic
1103C2×C22⋊C4C22×D1311yescharacteristic
1104C2×C22⋊C4C22×D1311yescharacteristic
1105C2×C22⋊C4C22×D1311yescharacteristic
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C42—131no—
1108C2×C42—131no—
1109C2×C42—131no—
1110C2×C42—131no—
1111C2×C42—131no—
1112C2×C42—131no—
1113C2×C42—131no—
1114C2×C42—131no—
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—131no—
1121C2×C42—131no—
1122C2×C42—522no—
1123C2×C42C22×D1311yescharacteristic
1124C2×C42C22×D1311yescharacteristic
1125C2×C42C22×D1311yescharacteristic
1126#95—131no—
1127#95—131no—
1128#95—131no—
1129#95—131no—
1130#95—131no—
1131#95—131no—
1132#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95—131no—
1137#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
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#95C22×D1311yescharacteristic
1161#95C22×D1311yescharacteristic
1162#95C22×D1311yescharacteristic
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166C2×C13—24no—
1167C2×C13—42no—
1168C2×C13—42no—
1169C2×C13—42no—
1170C2×C13C2×#52011yescharacteristic
1171C2×C13C4×H(5,𝔽2)11yescharacteristic
1172C2×C13C4×H(5,𝔽2)11yescharacteristic
1173C2×C13#353411yescharacteristic
1174C2×C13#353611yescharacteristic
1175C2×C13#355811yescharacteristic
1176C2×C13#356411yescharacteristic
1177D13—42no—
1178C24—22no—
1179C24—22no—
1180C24—41no—
1181C24—41no—
1182C24—41no—
1183C24—41no—
1184C24—131no—
1185C24C2×C4×D1314yes—
1186C24C23×D1311yescharacteristic
1187C24C23×D1311yescharacteristic
1188C24C23×D1311yescharacteristic
1189C24C23×D1311yescharacteristic
1190C2×Q8—134no—
1191C2×Q8—521no—
1192C2×Q8—521no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—134no—
1200C2×D4—134no—
1201C2×D4—134no—
1202C2×D4—134no—
1203C2×D4—262no—
1204C2×D4—262no—
1205C2×D4—521no—
1206C2×D4—521no—
1207C2×D4—521no—
1208C2×D4—521no—
1209C2×D4—521no—
1210C2×D4—521no—
1211C2×D4C2×C4×D1314yes—
1212C2×D4C2×C4×D1314yes—
1213C2×D4C2×C4×D1314yes—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—131no—
1230C22×C4—131no—
1231C22×C4—131no—
1232C22×C4—131no—
1233C22×C4—131no—
1234C22×C4—131no—
1235C22×C4—131no—
1236C22×C4—131no—
1237C22×C4—134no—
1238C22×C4—134no—
1239C22×C4—134no—
1240C22×C4—134no—
1241C22×C4—131no—
1242C22×C4—131no—
1243C22×C4—131no—
1244C22×C4—131no—
1245C22×C4—131no—
1246C22×C4—131no—
1247C22×C4—131no—
1248C22×C4—262no—
1249C22×C4—262no—
1250C22×C4—262no—
1251C22×C4—262no—
1252C22×C4—521no—
1253C22×C4—521no—
1254C22×C4—521no—
1255C22×C4—521no—
1256C22×C4—521no—
1257C22×C4—521no—
1258C22×C4—521no—
1259C22×C4—521no—
1260C22×C4—521no—
1261C22×C4—521no—
1262C22×C4—521no—
1263C22×C4—521no—
1264C22×C4—521no—
1265C22×C4—521no—
1266C22×C4—521no—
1267C22×C4—521no—
1268C22×C4—521no—
1269C22×C4—521no—
1270C22×C4—521no—
1271C22×C4—521no—
1272C22×C4—521no—
1273C22×C4—521no—
1274C22×C4—521no—
1275C22×C4—521no—
1276C22×C4—521no—
1277C22×C4C23×D1311yescharacteristic
1278C22×C4C23×D1311yescharacteristic
1279C22×C4C23×D1311yescharacteristic
1280C22×C4C23×D1311yescharacteristic
1281C22×C4C23×D1311yescharacteristic
1282C22×C4C23×D1311yescharacteristic
1283C22×C4C23×D1311yescharacteristic
1284C22×C4C23×D1311yescharacteristic
1285C22×C4C23×D1311yescharacteristic
1286C22×C4C23×D1311yescharacteristic
1287C22×C4C23×D1311yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—134no—
1292C4⋊C4—134no—
1293C4⋊C4—134no—
1294C4⋊C4—134no—
1295C4⋊C4—134no—
1296C4⋊C4—134no—
1297C4⋊C4—262no—
1298C4⋊C4—262no—
1299C4⋊C4—262no—
1300C4⋊C4—521no—
1301C4⋊C4—521no—
1302C4⋊C4—521no—
1303C4⋊C4—521no—
1304C4⋊C4—521no—
1305C4⋊C4—521no—
1306C4⋊C4—521no—
1307C4⋊C4—521no—
1308C4⋊C4—521no—
1309C4⋊C4—521no—
1310C4⋊C4—521no—
1311C4⋊C4—521no—
1312C4⋊C4—521no—
1313C4⋊C4—521no—
1314C4⋊C4—521no—
1315C4⋊C4—521no—
1316C4⋊C4—521no—
1317C4⋊C4—521no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—134no—
1330C22⋊C4—134no—
1331C22⋊C4—134no—
1332C22⋊C4—134no—
1333C22⋊C4—134no—
1334C22⋊C4—134no—
1335C22⋊C4—134no—
1336C22⋊C4—134no—
1337C22⋊C4—134no—
1338C22⋊C4—134no—
1339C22⋊C4—134no—
1340C22⋊C4—262no—
1341C22⋊C4—262no—
1342C22⋊C4—262no—
1343C22⋊C4—262no—
1344C22⋊C4—262no—
1345C22⋊C4—262no—
1346C22⋊C4—521no—
1347C22⋊C4—521no—
1348C22⋊C4—521no—
1349C22⋊C4—521no—
1350C22⋊C4—521no—
1351C22⋊C4—521no—
1352C22⋊C4—521no—
1353C22⋊C4—521no—
1354C22⋊C4—521no—
1355C22⋊C4—521no—
1356C22⋊C4—521no—
1357C22⋊C4C2×C4×D1314yes—
1358C22⋊C4C2×C4×D1314yes—
1359C22⋊C4C2×C4×D1314yes—
1360C42—41no—
1361C42—41no—
1362C42—41no—
1363C42—134no—
1364C42—134no—
1365C42—262no—
1366C42—262no—
1367C42—262no—
1368C42—262no—
1369C42—521no—
1370C42—521no—
1371C42—521no—
1372C42—521no—
1373C42—521no—
1374C42—521no—
1375C42—521no—
1376C42—521no—
1377C42—521no—
1378C13#3442411yescharacteristic, complemented, Sylow
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—28no—
1402C23—44no—
1403C23—44no—
1404C23—82no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—132no—
1409C23—261no—
1410C23—261no—
1411C23—261no—
1412C23—261no—
1413C23—261no—
1414C23—261no—
1415C23C22×C4×D1312yes—
1416C23C22×C4×D1312yes—
1417C23C22×C4×D1312yes—
1418C23C22×C4×D1312yes—
1419C23#8825112yes—
1420C23#8825712yes—
1421C23C24×D1311yescharacteristic
1422Q8—524no—
1423D4—28no—
1424D4—44no—
1425D4—44no—
1426D4—268no—
1427D4—524no—
1428D4—524no—
1429D4—524no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—44no—
1460C2×C4—82no—
1461C2×C4—82no—
1462C2×C4—82no—
1463C2×C4—82no—
1464C2×C4—132no—
1465C2×C4—132no—
1466C2×C4—132no—
1467C2×C4—132no—
1468C2×C4—132no—
1469C2×C4—132no—
1470C2×C4—132no—
1471C2×C4—132no—
1472C2×C4—261no—
1473C2×C4—261no—
1474C2×C4—261no—
1475C2×C4—261no—
1476C2×C4—261no—
1477C2×C4—261no—
1478C2×C4—261no—
1479C2×C4—261no—
1480C2×C4—261no—
1481C2×C4—261no—
1482C2×C4—261no—
1483C2×C4—261no—
1484C2×C4—261no—
1485C2×C4—261no—
1486C2×C4—261no—
1487C2×C4—261no—
1488C2×C4—261no—
1489C2×C4—261no—
1490C2×C4—261no—
1491C2×C4—261no—
1492C2×C4—261no—
1493C2×C4—261no—
1494C2×C4—261no—
1495C2×C4—261no—
1496C2×C4—261no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—261no—
1506C2×C4—261no—
1507C2×C4—261no—
1508C2×C4—261no—
1509C2×C4—524no—
1510C2×C4—524no—
1511C2×C4—524no—
1512C2×C4—524no—
1513C2×C4—524no—
1514C2×C4—1042no—
1515C2×C4—1042no—
1516C2×C4—1042no—
1517C2×C4—1042no—
1518C2×C4—1042no—
1519C2×C4—1042no—
1520C2×C4C22×C4×D1312yes—
1521C2×C4C22×C4×D1312yes—
1522C2×C4C22×C4×D1312yes—
1523C2×C4#8825112yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—88no—
1552C22—262no—
1553C22—262no—
1554C22—262no—
1555C22—521no—
1556C22—521no—
1557C22—521no—
1558C22—521no—
1559C22#1171925114yes—
1560C22C23×C4×D1311yescharacteristic
1561C22C2×#8825111yescharacteristic
1562C22C2×#8825111yescharacteristic
1563C22C2×#8825711yescharacteristic
1564C22#1171964811yescharacteristic
1565C22D13×H(5,𝔽2)11yescharacteristic
1566C22#1171965011yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—262no—
1579C4—262no—
1580C4—262no—
1581C4—262no—
1582C4—262no—
1583C4—262no—
1584C4—262no—
1585C4—262no—
1586C4—521no—
1587C4—521no—
1588C4—521no—
1589C4—521no—
1590C4—521no—
1591C4—521no—
1592C4—521no—
1593C2—24no—
1594C2—42no—
1595C2—42no—
1596C2—42no—
1597C2—522no—
1598C2C2×#1171925111yescharacteristic
1599C2#1312804011yescharacteristic
1600C2C4×#8825111yescharacteristic
1601C2#1312901411yescharacteristic
1602C2#1312905611yescharacteristic
1603C2#1312934611yescharacteristic
1604C2#1312945211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2358C2
socle, cosocleC23×C13C25
prime radicalC2×#11719298C2
hypercenter#2358D13
hypocenterC13#34424
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. #13118006C2semidirect
3. #13118005C2semidirect
4. #13117986C2semidirect
5. #13117985C2semidirect
6. #13117909C2semidirect
7. #13117902C2semidirect
8. #13117834C2semidirect
9. #13117829C2semidirect
10. #13117820C2semidirect
11. #13117815C2semidirect
12. #13117815C2semidirect
13. #13117763C2semidirect
14. #13117759C2semidirect
15. #13117742C2semidirect
16. #13117741C2semidirect
17. #13117613C2semidirect
18. #13117609C2semidirect
19. #13117608C2semidirect
20. #13117606C2semidirect
21. #13117564C2semidirect
22. #13117538C2semidirect
23. #13117537C2semidirect
24. #13117534C2semidirect
25. #13117532C2semidirect
26. #13117526C2semidirect
27. #13117448C2semidirect
28. #13117368C2semidirect
29. C4×#88193C2semidirect
30. C2×#11718605C2semidirect
31. C13×#2358C2semidirect
51. C2×C4×C22⋊D13C22semidirect
54. #11719298C4semidirect
55. C2×#88141C22semidirect
64. C2×#88131C22semidirect
65. C2×#88126C22semidirect
88. #11718871C22semidirect
91. C4×C22⋊Dic13C22semidirect
94. C2×#88071C22semidirect
95. #11718651C22semidirect
96. #11718650C22semidirect
97. #11718648C22semidirect
98. #11718639C22semidirect
99. #11718638C22semidirect
100. C4⋊C4×Dic13C22semidirect
101. C4⋊C4×Dic13C22semidirect
102. #11718634C22semidirect
103. #11718633C22semidirect
104. #11718633C22semidirect
105. #11718633C22semidirect
108. #11718619C22semidirect
111. #11718618C22semidirect
114. #11718617C22semidirect
125. #11718607C22semidirect
126. #11718607C22semidirect
129. #11718606C22semidirect
130. #11718606C22semidirect
131. #11718606C22semidirect
142. #11718605C22semidirect
147. #11718603C22semidirect
148. #11718603C22semidirect
153. #11718601C22semidirect
154. C4×#6103C22semidirect
155. #11718594C22semidirect
156. #11718594C22semidirect
157. #11718594C22semidirect
158. C4×#6101C22semidirect
159. C4×#6101C22semidirect
160. C4×#6101C22semidirect
161. #11718590C22semidirect
162. #11718589C22semidirect
163. #11718589C22semidirect
164. #11718330C22semidirect
165. #11718330C22semidirect
166. #11718329C22semidirect
167. #11718329C22semidirect
168. #11718328C22semidirect
169. D13×#95C22semidirect
170. #11718316C22semidirect
171. #11718316C22semidirect
172. #11718315C22semidirect
173. #11718315C22semidirect
174. #11718314C22semidirect
175. #11718314C22semidirect
176. #11718313C22semidirect
177. #11718313C22semidirect
178. #11718311C22semidirect
179. #11718311C22semidirect
180. #11718311C22semidirect
181. #11718310C22semidirect
182. #11718310C22semidirect
183. #11718310C22semidirect
184. #11718308C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
213. C13×#120C2×C4semidirect
238. #88207C2×C4semidirect
241. C2×C22⋊Dic13C2×C4semidirect
262. #88193C2×C4semidirect
263. #88193C2×C4semidirect
264. #88192C2×C4semidirect
265. #88190C2×C4semidirect
266. #88189C2×C4semidirect
269. D4×Dic13C2×C4semidirect
326. #88139C2×C4semidirect
327. #88137C2×C4semidirect
330. #88135C2×C4semidirect
331. #88133C2×C4semidirect
332. #88133C2×C4semidirect
333. #88132C2×C4semidirect
589. #2358D13semidirect
1014. #120C4×D13semidirect
1378. C13#34424semidirect

Maximal subgroups

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

subgroupindex
C2×#117192982
#131180062
#131180052
#131179862
#131179852
#131179092
#131179022
#131178342
#131178292
#131178202
#131178152
#131177632
#131177592
#131177422
#131177412
#131176132
#131176092
#131176082
#131176062
#131175642
#131175382
#131175372
#131175342
#131175322
#131175262
#131174482
#131173682
C4×#881932
C2×#117186052
C13×#23582
#3442413