Finite Group Databasebeta

← #16026612

Subgroups — #16026612

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×#11719318C211yesmaximal, characteristic
2#13118009C211yesmaximal, characteristic, complemented
3#13118006C211yesmaximal, characteristic, complemented
4#13117986C211yesmaximal, characteristic, complemented
5#13117980C211yesmaximal, characteristic, complemented
6#13117910C211yesmaximal, characteristic, complemented
7#13117906C211yesmaximal, characteristic, complemented
8#13117828C211yesmaximal, characteristic, complemented
9#13117822C211yesmaximal, characteristic, complemented
10#13117817C211yesmaximal, characteristic, complemented
11#13117817C211yesmaximal, characteristic, complemented
12#13117816C211yesmaximal, characteristic, complemented
13#13117813C211yesmaximal, characteristic, complemented
14#13117766C211yesmaximal, characteristic, complemented
15#13117764C211yesmaximal, characteristic, complemented
16#13117742C211yesmaximal, characteristic, complemented
17#13117740C211yesmaximal, characteristic, complemented
18#13117608C211yesmaximal, characteristic, complemented
19#13117606C211yesmaximal, characteristic, complemented
20#13117605C211yesmaximal, characteristic, complemented
21#13117604C211yesmaximal, characteristic, complemented
22#13117570C211yesmaximal, characteristic, complemented
23#13117541C211yesmaximal, characteristic, complemented
24#13117538C211yesmaximal, characteristic, complemented
25#13117537C211yesmaximal, characteristic, complemented
26#13117522C211yesmaximal, characteristic, complemented
27#13117447C211yesmaximal, characteristic, complemented
28C4×#88150C211yesmaximal, characteristic, complemented
29#13117352C211yesmaximal, characteristic, complemented
30D13×#388C211yesmaximal, characteristic, complemented
31C13×#2324C211yesmaximal, characteristic, complemented
32C2×C13×#121C2211yescharacteristic
33C2×C4×D4×C13C2211yescharacteristic
34C2×C13×#117C2211yescharacteristic, complemented
35C2×#88193C2211yescharacteristic
36C2×#88192C2211yescharacteristic
37C2×#88191C2211yescharacteristic
38C2×#88191C2211yescharacteristic
39C2×#88190C2211yescharacteristic
40C2×#88189C2211yescharacteristic
41C2×D4×Dic13C2211yescharacteristic
42C2×D4×Dic13C2211yescharacteristic, complemented
43C2×#88183C2211yescharacteristic
44C2×C4×C22⋊D13C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic
46C22×#6103C2211yescharacteristic
47#11719318C4116yescomplemented
48C2×#88152C2211yescharacteristic
49C2×#88150C2211yescharacteristic
50C2×C4⋊C4×D13C2211yescharacteristic
51C2×#88139C2211yescharacteristic
52C2×#88135C2211yescharacteristic
53C2×#88135C2211yescharacteristic
54C2×#88135C2211yescharacteristic
55C2×#88135C2211yescharacteristic
56C2×#88135C2211yescharacteristic
57C2×#88135C2211yescharacteristic
58C2×C22⋊C4×D13C2211yescharacteristic
59C2×C22⋊C4×D13C2211yescharacteristic
60C2×C22⋊C4×D13C2211yescharacteristic
61C2×C22⋊C4×D13C2211yescharacteristic
62C2×#88133C2211yescharacteristic
63C2×#88131C2211yescharacteristic, complemented
64C2×C42×D13C2211yescharacteristic
65C2×C4×Dic26C2211yescharacteristic, complemented
66C13×#390C2211yescharacteristic
67C13×#390C2211yescharacteristic
68C13×#390C2211yescharacteristic, complemented
69C13×#389C2211yescharacteristic, complemented
70C13×#388C2211yescharacteristic
71C13×#388C2211yescharacteristic, complemented
72C13×#386C2211yescharacteristic
73C13×#386C2211yescharacteristic, complemented
74C13×#385C2211yescharacteristic
75C13×#385C2211yescharacteristic, complemented
76C13×#380C2211yescharacteristic, complemented
77C4×C13×C4⋊C4C2211yescharacteristic, complemented
78#11718881C2211yescharacteristic
79#11718881C2211yescharacteristic
80#11718881C2211yescharacteristic
81#11718881C2211yescharacteristic, complemented
82#11718874C2211yescharacteristic
83#11718873C2211yescharacteristic, complemented
84#11718871C2211yescharacteristic
85#11718871C2211yescharacteristic
86#11718871C2211yescharacteristic, complemented
87C4×C22⋊Dic13C2211yescharacteristic
88C2×#88071C2211yescharacteristic, complemented
89C2×#88071C2211yescharacteristic, complemented
90#11718651C2211yescharacteristic
91#11718651C2211yescharacteristic
92#11718650C2211yescharacteristic
93#11718650C2211yescharacteristic
94#11718650C2211yescharacteristic
95#11718650C2211yescharacteristic
96#11718650C2211yescharacteristic
97#11718650C2211yescharacteristic
98#11718650C2211yescharacteristic
99#11718648C2211yescharacteristic
100#11718648C2211yescharacteristic
101#11718642C2211yescharacteristic, complemented
102#11718642C2211yescharacteristic, complemented
103#11718639C2211yescharacteristic, complemented
104#11718639C2211yescharacteristic, complemented
105#11718638C2211yescharacteristic, complemented
106C4⋊C4×Dic13C2211yescharacteristic, complemented
107C4⋊C4×Dic13C2211yescharacteristic, complemented
108C4⋊C4×Dic13C2211yescharacteristic, complemented
109#11718635C2211yescharacteristic, complemented
110#11718633C2211yescharacteristic, complemented
111#11718633C2211yescharacteristic, complemented
112#11718633C2211yescharacteristic, complemented
113#11718633C2211yescharacteristic, complemented
114#11718633C2211yescharacteristic, complemented
115#11718619C2211yescharacteristic
116#11718618C2211yescharacteristic
117#11718618C2211yescharacteristic
118#11718617C2211yescharacteristic
119#11718617C2211yescharacteristic
120#11718617C2211yescharacteristic
121#11718617C2211yescharacteristic
122#11718617C2211yescharacteristic
123#11718617C2211yescharacteristic
124#11718612C2211yescharacteristic
125#11718612C2211yescharacteristic, complemented
126#11718611C2211yescharacteristic
127#11718611C2211yescharacteristic, complemented
128#11718607C2211yescharacteristic
129#11718607C2211yescharacteristic
130#11718607C2211yescharacteristic, complemented
131#11718607C2211yescharacteristic, complemented
132#11718607C2211yescharacteristic, complemented
133#11718606C2211yescharacteristic
134#11718606C2211yescharacteristic, complemented
135#11718606C2211yescharacteristic, complemented
136#11718606C2211yescharacteristic, complemented
137#11718606C2211yescharacteristic, complemented
138#11718606C2211yescharacteristic, complemented
139#11718605C2211yescharacteristic
140#11718605C2211yescharacteristic
141#11718605C2211yescharacteristic
142#11718605C2211yescharacteristic
143#11718605C2211yescharacteristic
144#11718605C2211yescharacteristic, complemented
145#11718603C2211yescharacteristic, complemented
146#11718603C2211yescharacteristic, complemented
147C22⋊C4×Dic13C2211yescharacteristic
148C22⋊C4×Dic13C2211yescharacteristic, complemented
149C22⋊C4×Dic13C2211yescharacteristic, complemented
150#11718601C2211yescharacteristic
151#11718601C2211yescharacteristic
152C4×#6103C2211yescharacteristic
153C4×#6103C2211yescharacteristic
154C4×#6103C2211yescharacteristic
155C4×#6103C2211yescharacteristic
156C4×#6103C2211yescharacteristic
157#11718594C2211yescharacteristic, complemented
158#11718594C2211yescharacteristic, complemented
159#11718594C2211yescharacteristic, complemented
160C4×#6101C2211yescharacteristic, complemented
161C4×#6101C2211yescharacteristic, complemented
162C4×#6101C2211yescharacteristic, complemented
163#11718589C2211yescharacteristic, complemented
164#11718331C2211yescharacteristic
165#11718331C2211yescharacteristic
166#11718330C2211yescharacteristic
167#11718330C2211yescharacteristic
168#11718329C2211yescharacteristic
169#11718329C2211yescharacteristic
170#11718329C2211yescharacteristic
171#11718328C2211yescharacteristic
172#11718328C2211yescharacteristic
173#11718327C2211yescharacteristic
174D13×#95C2211yescharacteristic
175D13×#95C2211yescharacteristic
176#11718316C2211yescharacteristic, complemented
177#11718316C2211yescharacteristic, complemented
178#11718315C2211yescharacteristic, complemented
179#11718314C2211yescharacteristic, complemented
180#11718313C2211yescharacteristic, complemented
181#11718311C2211yescharacteristic, complemented
182#11718311C2211yescharacteristic, complemented
183#11718311C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188C24×D13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C22×C4×D13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C13×#121C2×C418yescomplemented
214C4×D4×C13—42no—
215C13×#117—42no—
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
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×C42×C13C2311yescharacteristic
236C2×C42×C13C2311yescharacteristic
237C2×C42×C13C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
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
253#88193C2×C418yescomplemented
254#88192C2×C418yescomplemented
255#88191C2×C418yescomplemented
256#88191C2×C418yescomplemented
257#88190C2×C418yescomplemented
258#88189C2×C418yescomplemented
259D4×Dic13—42no—
260D4×Dic13—42no—
261#88183C2×C418yescomplemented
262C4×C22⋊D13—42no—
263C4×C22⋊D13C2×C418yescomplemented
264C2×#6103—42no—
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
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×#6101C2311yescharacteristic
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×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318#88152C2×C418yescomplemented
319#88150C2×C418yescomplemented
320C4⋊C4×D13—42no—
321#88139C2×C418yescomplemented
322#88135—42no—
323#88135—42no—
324#88135—42no—
325#88135—42no—
326#88135—42no—
327#88135C2×C418yescomplemented
328C22⋊C4×D13—42no—
329C22⋊C4×D13—42no—
330C22⋊C4×D13—42no—
331C22⋊C4×D13C2×C418yescomplemented
332#88133C2×C418yescomplemented
333#88131—42no—
334C42×D13—42no—
335C4×Dic26—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×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C24×C13C2411yescharacteristic
380C23×D13—22no—
381C23×D13—22no—
382C23×D13—41no—
383C23×D13—41no—
384C23×D13—41no—
385C23×D13—41no—
386C23×D13C22×C414yes—
387C23×D13C2411yescharacteristic
388C23×D13C2411yescharacteristic
389C2×D4×C13—41no—
390C2×D4×C13—41no—
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—41no—
399C22×C4×C13—41no—
400C22×C4×C13—41no—
401C22×C4×C13—41no—
402C22×C4×C13—41no—
403C22×C4×C13—41no—
404C22×C4×C13—41no—
405C22×C4×C13—41no—
406C22×C4×C13C22×C414yes—
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C2×C22⋊D13—22no—
420C2×C22⋊D13—22no—
421C2×C22⋊D13—22no—
422C2×C22⋊D13—22no—
423C2×C22⋊D13—41no—
424C2×C22⋊D13—41no—
425C2×C22⋊D13—41no—
426C2×C22⋊D13—41no—
427C2×C22⋊D13C22×C414yes—
428C2×C22⋊D13C22×C414yes—
429C2×C22⋊D13C22×C414yes—
430C2×C22⋊D13C22×C414yes—
431C22×Dic13—22no—
432C22×Dic13—22no—
433C22×Dic13—41no—
434C22×Dic13—41no—
435C22×Dic13—41no—
436C22×Dic13—41no—
437C22×Dic13—41no—
438C22×Dic13—41no—
439C22×Dic13—41no—
440C22×Dic13—41no—
441C22×Dic13—41no—
442C22×Dic13—41no—
443C22×Dic13—41no—
444C22×Dic13—41no—
445C22×Dic13C22×C414yes—
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C2×C4×D13—22no—
461C2×C4×D13—22no—
462C2×C4×D13—22no—
463C2×C4×D13—22no—
464C2×C4×D13—22no—
465C2×C4×D13—22no—
466C2×C4×D13—41no—
467C2×C4×D13—41no—
468C2×C4×D13—41no—
469C2×C4×D13—41no—
470C2×C4×D13—41no—
471C2×C4×D13—41no—
472C2×C4×D13—41no—
473C2×C4×D13—41no—
474C2×C4×D13—41no—
475C2×C4×D13—41no—
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×D13C22×C414yes—
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×C4⋊C4—41no—
491C13×C4⋊C4—41no—
492C13×C4⋊C4—41no—
493C13×C4⋊C4C22×C414yes—
494C13×C22⋊C4—22no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—41no—
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⋊C4C22×C414yes—
505C13×C22⋊C4C22×C414yes—
506C42×C13—22no—
507C42×C13—41no—
508C42×C13—41no—
509C42×C13—41no—
510C22⋊Dic13—22no—
511C22⋊Dic13—41no—
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—
524#6103—22no—
525#6103—22no—
526#6103—22no—
527#6103—22no—
528#6103—22no—
529#6103—22no—
530#6103—41no—
531#6103—41no—
532#6103—41no—
533#6103—41no—
534#6103C22×C414yes—
535#6103C22×C414yes—
536#6103C22×C414yes—
537#6103C22×C414yes—
538#6103C22×C414yes—
539#6103C22×C414yes—
540C4⋊Dic13—22no—
541C4⋊Dic13—41no—
542C4⋊Dic13—41no—
543C4⋊Dic13—41no—
544C4⋊Dic13C22×C414yes—
545#6101—22no—
546#6101—22no—
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#6101—41no—
559#6101C22×C414yes—
560#6101C22×C414yes—
561#6101C22×C414yes—
562#6101C22×C414yes—
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#2358—131no—
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#2324D1311yescharacteristic, complemented
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×C13C23×C412yes—
627C23×C13C23×C412yes—
628C23×C13C23×C412yes—
629C23×C13C2511yescharacteristic
630C22×D13—21no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—21no—
638C22×D13—21no—
639C22×D13—21no—
640C22×D13—28no—
641C22×D13—44no—
642C22×D13—44no—
643C22×D13—82no—
644C22×D13—82no—
645C22×D13—82no—
646C22×D13—82no—
647C22×D13C23×C412yes—
648C22×D13C23×C412yes—
649C22×D13H(5,𝔽2)12yes—
650C22×D132−1+412yes—
651D4×C13—44no—
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—21no—
684C2×C4×C13—21no—
685C2×C4×C13—44no—
686C2×C4×C13—82no—
687C2×C4×C13—82no—
688C2×C4×C13C23×C412yes—
689C2×C4×C13C23×C412yes—
690C2×C4×C13C23×C412yes—
691C2×C4×C13C23×C412yes—
692C2×C4×C13H(5,𝔽2)12yes—
693C22⋊D13—28no—
694C22⋊D13—28no—
695C22⋊D13—44no—
696C22⋊D13—44no—
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—44no—
733C2×Dic13—82no—
734C2×Dic13—82no—
735C2×Dic13—82no—
736C2×Dic13—82no—
737C2×Dic13C23×C412yes—
738C2×Dic13C23×C412yes—
739C2×Dic13C23×C412yes—
740C2×Dic13C23×C412yes—
741C2×Dic13C23×C412yes—
742C2×Dic13C23×C412yes—
743C2×Dic13H(5,𝔽2)12yes—
744C4×D13—44no—
745C4×D13—44no—
746C4×D13—44no—
747C4×D13—44no—
748C4×D13—82no—
749C4×D13—82no—
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×#121C2×D1311yescharacteristic
764C2×#120—131no—
765C2×#120—131no—
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×D4—131no—
777C2×C4×D4C2×D1311yescharacteristic
778C2×#117—131no—
779C2×#117C2×D1311yescharacteristic, complemented
780C22×C4⋊C4—131no—
781C22×C22⋊C4—131no—
782C22×C22⋊C4—131no—
783C22×C22⋊C4—131no—
784C22×C22⋊C4—131no—
785C22×C22⋊C4—131no—
786C22×C42—131no—
787#391—131no—
788#391—131no—
789#391—131no—
790#390—131no—
791#390—131no—
792#390C2×D1311yescharacteristic
793#390C2×D1311yescharacteristic
794#390C2×D1311yescharacteristic, complemented
795#389—131no—
796#389—131no—
797#389—131no—
798#389—131no—
799#389—131no—
800#389—131no—
801#389—131no—
802#389C2×D1311yescharacteristic, complemented
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, complemented
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#386—131no—
851#386C2×D1311yescharacteristic
852#386C2×D1311yescharacteristic, complemented
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, complemented
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#380C2×D1311yescharacteristic, complemented
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⋊C4C2×D1311yescharacteristic, complemented
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⋊C4—131no—
904C4×C22⋊C4—131no—
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—41no—
919C22×C13—41no—
920C22×C13—41no—
921C22×C13—41no—
922C22×C13—41no—
923C22×C13—41no—
924C22×C13—41no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13—41no—
930C22×C13C24×C411yescharacteristic
931C22×C13C2×H(5,𝔽2)11yescharacteristic
932C22×C13C2×H(5,𝔽2)11yescharacteristic
933C22×C13C2×H(5,𝔽2)11yescharacteristic
934C22×C13C2×2−1+411yescharacteristic
935C22×C13#58511yescharacteristic
936C22×C13#58511yescharacteristic
937C2×D13—22no—
938C2×D13—22no—
939C2×D13—22no—
940C2×D13—22no—
941C2×D13—22no—
942C2×D13—22no—
943C2×D13—22no—
944C2×D13—22no—
945C2×D13—22no—
946C2×D13—41no—
947C2×D13—41no—
948C2×D13—41no—
949C2×D13—41no—
950C2×D13—88no—
951C2×D13#52014yes—
952C4×C13—22no—
953C4×C13—22no—
954C4×C13—22no—
955C4×C13—22no—
956C4×C13—22no—
957C4×C13—41no—
958C4×C13—41no—
959C4×C13—41no—
960C4×C13—41no—
961C4×C13—41no—
962C4×C13—41no—
963C4×C13—41no—
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—
978C25—131no—
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×C4—131no—
999C23×C4—131no—
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#121C4×D1318yescomplemented
1013#120—138no—
1014#120—138no—
1015C4×Q8—522no—
1016C4×D4—42no—
1017C4×D4—138no—
1018C4×D4—138no—
1019C4×D4—522no—
1020C4×D4—522no—
1021C4×D4—522no—
1022C4×D4—522no—
1023C4×D4—522no—
1024C4×D4—522no—
1025C4×D4—522no—
1026C4×D4—522no—
1027#117—42no—
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—522no—
1053C2×C4⋊C4C22×D1311yescharacteristic
1054C2×C4⋊C4C22×D1311yescharacteristic
1055C2×C4⋊C4C22×D1311yescharacteristic
1056C2×C4⋊C4C22×D1311yescharacteristic
1057C2×C4⋊C4C22×D1311yescharacteristic
1058C2×C4⋊C4C22×D1311yescharacteristic
1059C2×C4⋊C4C22×D1311yescharacteristic
1060C2×C22⋊C4—131no—
1061C2×C22⋊C4—131no—
1062C2×C22⋊C4—131no—
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—138no—
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⋊C4—522no—
1094C2×C22⋊C4—522no—
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—522no—
1122C2×C42C22×D1311yescharacteristic
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—42no—
1167C2×C13—42no—
1168C2×C13—42no—
1169C2×C13C2×#52011yescharacteristic
1170C2×C13C4×H(5,𝔽2)11yescharacteristic
1171C2×C13C4×H(5,𝔽2)11yescharacteristic
1172C2×C13#353411yescharacteristic
1173C2×C13#353611yescharacteristic
1174C2×C13#355811yescharacteristic
1175C2×C13#356411yescharacteristic
1176D13—24no—
1177D13—42no—
1178C24—131no—
1179C24—131no—
1180C24—134no—
1181C24—262no—
1182C24—262no—
1183C24—521no—
1184C24—521no—
1185C24—521no—
1186C24—521no—
1187C24C23×D1311yescharacteristic
1188C24C23×D1311yescharacteristic
1189C24C23×D1311yescharacteristic
1190C2×Q8—134no—
1191C2×Q8—521no—
1192C2×Q8—521no—
1193C2×D4—41no—
1194C2×D4—41no—
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—262no—
1206C2×D4—262no—
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—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—131no—
1223C22×C4—131no—
1224C22×C4—131no—
1225C22×C4—131no—
1226C22×C4—131no—
1227C22×C4—131no—
1228C22×C4—131no—
1229C22×C4—134no—
1230C22×C4—134no—
1231C22×C4—134no—
1232C22×C4—131no—
1233C22×C4—131no—
1234C22×C4—131no—
1235C22×C4—131no—
1236C22×C4—131no—
1237C22×C4—131no—
1238C22×C4—131no—
1239C22×C4—262no—
1240C22×C4—262no—
1241C22×C4—262no—
1242C22×C4—262no—
1243C22×C4—262no—
1244C22×C4—262no—
1245C22×C4—262no—
1246C22×C4—262no—
1247C22×C4—521no—
1248C22×C4—521no—
1249C22×C4—521no—
1250C22×C4—521no—
1251C22×C4—521no—
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×C4C2×C4×D1314yes—
1276C22×C4C23×D1311yescharacteristic
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—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—134no—
1295C4⋊C4—134no—
1296C4⋊C4—134no—
1297C4⋊C4—134no—
1298C4⋊C4—134no—
1299C4⋊C4—262no—
1300C4⋊C4—262no—
1301C4⋊C4—262no—
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⋊C4C2×C4×D1314yes—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—134no—
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—262no—
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⋊C4—521no—
1358C22⋊C4C2×C4×D1314yes—
1359C22⋊C4C2×C4×D1314yes—
1360C42—22no—
1361C42—41no—
1362C42—41no—
1363C42—41no—
1364C42—134no—
1365C42—134no—
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—132no—
1398C23—132no—
1399C23—132no—
1400C23—132no—
1401C23—268no—
1402C23—261no—
1403C23—261no—
1404C23—261no—
1405C23—261no—
1406C23—261no—
1407C23—261no—
1408C23—261no—
1409C23—261no—
1410C23—261no—
1411C23—261no—
1412C23—524no—
1413C23—524no—
1414C23—1042no—
1415C23—1042no—
1416C23—1042no—
1417C23—1042no—
1418C23C22×C4×D1312yes—
1419C23C22×C4×D1312yes—
1420C23C22×C4×D1312yes—
1421C23C24×D1311yescharacteristic
1422Q8—524no—
1423D4—44no—
1424D4—44no—
1425D4—44no—
1426D4—268no—
1427D4—268no—
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—21no—
1460C2×C4—21no—
1461C2×C4—44no—
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—261no—
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—524no—
1507C2×C4—524no—
1508C2×C4—524no—
1509C2×C4—524no—
1510C2×C4—524no—
1511C2×C4—1042no—
1512C2×C4—1042no—
1513C2×C4—1042no—
1514C2×C4—1042no—
1515C2×C4—1042no—
1516C2×C4—1042no—
1517C2×C4—1042no—
1518C2×C4—1042no—
1519C2×C4C22×C4×D1312yes—
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—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—134no—
1546C22—262no—
1547C22—262no—
1548C22—262no—
1549C22—262no—
1550C22—262no—
1551C22—262no—
1552C22—262no—
1553C22—262no—
1554C22—262no—
1555C22—521no—
1556C22—521no—
1557C22—521no—
1558C22—521no—
1559C22—1048no—
1560C22C23×C4×D1311yescharacteristic
1561C22C2×#8825111yescharacteristic
1562C22#1171964811yescharacteristic
1563C22D13×H(5,𝔽2)11yescharacteristic
1564C22D13×H(5,𝔽2)11yescharacteristic
1565C22#1171965011yescharacteristic
1566C22D13×2−1+411yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
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—42no—
1594C2—42no—
1595C2—42no—
1596C2—264no—
1597C2—522no—
1598C2D13×#52011yescharacteristic
1599C2#1312804011yescharacteristic
1600C2C4×#8825111yescharacteristic
1601C2#1312901911yescharacteristic
1602C2#1312905311yescharacteristic
1603C2#1312935411yescharacteristic
1604C2#1312946111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2324C2
socle, cosocleC23×C13C25
prime radicalC2×#11719318C2
hypercenter#2324D13
hypocenterC13#34424
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2324

Complements

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

NH ≅ G/Ntype
2. #13118009C2semidirect
3. #13118006C2semidirect
4. #13117986C2semidirect
5. #13117980C2semidirect
6. #13117910C2semidirect
7. #13117906C2semidirect
8. #13117828C2semidirect
9. #13117822C2semidirect
10. #13117817C2semidirect
11. #13117817C2semidirect
12. #13117816C2semidirect
13. #13117813C2semidirect
14. #13117766C2semidirect
15. #13117764C2semidirect
16. #13117742C2semidirect
17. #13117740C2semidirect
18. #13117608C2semidirect
19. #13117606C2semidirect
20. #13117605C2semidirect
21. #13117604C2semidirect
22. #13117570C2semidirect
23. #13117541C2semidirect
24. #13117538C2semidirect
25. #13117537C2semidirect
26. #13117522C2semidirect
27. #13117447C2semidirect
28. C4×#88150C2semidirect
29. #13117352C2semidirect
30. D13×#388C2semidirect
31. C13×#2324C2semidirect
34. C2×C13×#117C22semidirect
42. C2×D4×Dic13C22semidirect
47. #11719318C4semidirect
63. C2×#88131C22semidirect
65. C2×C4×Dic26C22semidirect
68. C13×#390C22semidirect
69. C13×#389C22semidirect
71. C13×#388C22semidirect
73. C13×#386C22semidirect
75. C13×#385C22semidirect
76. C13×#380C22semidirect
77. C4×C13×C4⋊C4C22semidirect
81. #11718881C22semidirect
83. #11718873C22semidirect
86. #11718871C22semidirect
88. C2×#88071C22semidirect
89. C2×#88071C22semidirect
101. #11718642C22semidirect
102. #11718642C22semidirect
103. #11718639C22semidirect
104. #11718639C22semidirect
105. #11718638C22semidirect
106. C4⋊C4×Dic13C22semidirect
107. C4⋊C4×Dic13C22semidirect
108. C4⋊C4×Dic13C22semidirect
109. #11718635C22semidirect
110. #11718633C22semidirect
111. #11718633C22semidirect
112. #11718633C22semidirect
113. #11718633C22semidirect
114. #11718633C22semidirect
125. #11718612C22semidirect
127. #11718611C22semidirect
130. #11718607C22semidirect
131. #11718607C22semidirect
132. #11718607C22semidirect
134. #11718606C22semidirect
135. #11718606C22semidirect
136. #11718606C22semidirect
137. #11718606C22semidirect
138. #11718606C22semidirect
144. #11718605C22semidirect
145. #11718603C22semidirect
146. #11718603C22semidirect
148. C22⋊C4×Dic13C22semidirect
149. C22⋊C4×Dic13C22semidirect
157. #11718594C22semidirect
158. #11718594C22semidirect
159. #11718594C22semidirect
160. C4×#6101C22semidirect
161. C4×#6101C22semidirect
162. C4×#6101C22semidirect
163. #11718589C22semidirect
176. #11718316C22semidirect
177. #11718316C22semidirect
178. #11718315C22semidirect
179. #11718314C22semidirect
180. #11718313C22semidirect
181. #11718311C22semidirect
182. #11718311C22semidirect
183. #11718311C22semidirect
184. #11718310C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
213. C13×#121C2×C4semidirect
253. #88193C2×C4semidirect
254. #88192C2×C4semidirect
255. #88191C2×C4semidirect
256. #88191C2×C4semidirect
257. #88190C2×C4semidirect
258. #88189C2×C4semidirect
261. #88183C2×C4semidirect
263. C4×C22⋊D13C2×C4semidirect
318. #88152C2×C4semidirect
319. #88150C2×C4semidirect
321. #88139C2×C4semidirect
327. #88135C2×C4semidirect
331. C22⋊C4×D13C2×C4semidirect
332. #88133C2×C4semidirect
603. #2324D13semidirect
779. C2×#117C2×D13semidirect
794. #390C2×D13semidirect
802. #389C2×D13semidirect
826. #388C2×D13semidirect
852. #386C2×D13semidirect
874. #385C2×D13semidirect
886. #380C2×D13semidirect
894. C4×C4⋊C4C2×D13semidirect
1012. #121C4×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×#117193182
#131180092
#131180062
#131179862
#131179802
#131179102
#131179062
#131178282
#131178222
#131178172
#131178162
#131178132
#131177662
#131177642
#131177422
#131177402
#131176082
#131176062
#131176052
#131176042
#131175702
#131175412
#131175382
#131175372
#131175222
#131174472
C4×#881502
#131173522
D13×#3882
C13×#23242
#3442413