Finite Group Databasebeta

← #16033103

Subgroups — #16033103

Order 3328.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719243C211yesmaximal, characteristic, complemented
2C2×#11719252C211yesmaximal, characteristic, complemented
3#13119974C211yesmaximal, characteristic, complemented
4#13119959C211yesmaximal, characteristic, complemented
5#13119944C211yesmaximal, characteristic, complemented
6#13119929C211yesmaximal, characteristic, complemented
7#13119914C211yesmaximal, characteristic, complemented
8#13119905C211yesmaximal, characteristic, complemented
9#13119890C211yesmaximal, characteristic, complemented
10#13119875C211yesmaximal, characteristic, complemented
11#13119842C211yesmaximal, characteristic, complemented
12#13119792C211yesmaximal, characteristic, complemented
13#13119762C211yesmaximal, characteristic, complemented
14#13119722C211yesmaximal, characteristic, complemented
15#13119156C211yesmaximal, characteristic, complemented
16#13118962C211yesmaximal, characteristic, complemented
17#13118381C211yesmaximal, characteristic, complemented
18#13118366C211yesmaximal, characteristic, complemented
19#13118108C211yesmaximal, characteristic, complemented
20#13118096C211yesmaximal, characteristic, complemented
21#13118076C211yesmaximal, characteristic, complemented
22#13118052C211yesmaximal, characteristic, complemented
23C4×#88129C211yesmaximal, characteristic, complemented
24C4×#88140C211yesmaximal, characteristic, complemented
25C4×#88184C211yesmaximal, characteristic, complemented
26C4×#88184C211yesmaximal, characteristic, complemented
27C4×#88136C211yesmaximal, characteristic, complemented
28#13117326C211yesmaximal, characteristic, complemented
29#13117300C211yesmaximal, characteristic, complemented
30C2×C4×#6103C211yesmaximal, characteristic, complemented
31C42×D4×C13C211yesmaximal, characteristic, complemented
32C22×#6127C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C4×D4×C13C2211yescharacteristic
35C2×C4×D4×C13C2211yescharacteristic
36C2×C4×D4×C13C2211yescharacteristic
37C22×C42×C13C2211yescharacteristic
38C22×C42×C13C2211yescharacteristic, complemented
39C2×#88193C2211yescharacteristic
40C2×#88193C2211yescharacteristic
41C2×#88191C2211yescharacteristic
42C2×#88189C2211yescharacteristic
43C2×#88184C2211yescharacteristic
44C2×#88184C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic
46C2×C4×C22⋊D13C2211yescharacteristic
47C2×C4×C22⋊D13C2211yescharacteristic
48C2×C4×C22⋊D13C2211yescharacteristic, complemented
49C22×#6103C2211yescharacteristic
50C22×#6103C2211yescharacteristic
51C2×#88180C2211yescharacteristic, complemented
52C22×C4×Dic13C2211yescharacteristic
53#11719252—28no—
54#11719243—28no—
55C2×#88152C2211yescharacteristic, complemented
56C2×#88150C2211yescharacteristic
57C2×#88148C2211yescharacteristic
58C2×#88143C2211yescharacteristic, complemented
59C2×#88140C2211yescharacteristic
60C2×#88140C2211yescharacteristic
61C2×#88139C2211yescharacteristic, complemented
62C2×#88138C2211yescharacteristic
63C2×#88137C2211yescharacteristic
64C2×#88136C2211yescharacteristic
65C2×#88136C2211yescharacteristic
66C2×#88133C2211yescharacteristic, complemented
67C2×#88132C2211yescharacteristic
68C2×#88132C2211yescharacteristic
69C2×#88129C2211yescharacteristic
70C2×C4×D52C2211yescharacteristic
71C2×C4×D52C2211yescharacteristic
72C2×C4×D52C2211yescharacteristic
73C2×C4×D52C2211yescharacteristic, complemented
74C2×#88126C2211yescharacteristic
75C2×#88126C2211yescharacteristic, complemented
76C2×C4×Dic26C2211yescharacteristic, complemented
77C4×C13×C4⋊C4C2211yescharacteristic, complemented
78C4×C13×C4⋊C4C2211yescharacteristic, complemented
79C4×C13×C4⋊C4C2211yescharacteristic, complemented
80C4×C13×C22⋊C4C2211yescharacteristic
81C4×C13×C22⋊C4C2211yescharacteristic
82C4×C13×C22⋊C4C2211yescharacteristic
83C4×C13×C22⋊C4C2211yescharacteristic, complemented
84C4×C13×C22⋊C4C2211yescharacteristic, complemented
85C4×C13×C22⋊C4C2211yescharacteristic, complemented
86C43×C13C2211yescharacteristic, complemented
87#11718874C2211yescharacteristic
88#11718874C2211yescharacteristic
89#11718874C2211yescharacteristic
90#11718874C2211yescharacteristic
91#11718874C2211yescharacteristic
92#11718874C2211yescharacteristic, complemented
93#11718874C2211yescharacteristic, complemented
94#11718874C2211yescharacteristic, complemented
95#11718873C2211yescharacteristic
96#11718873C2211yescharacteristic, complemented
97C2×#88071C2211yescharacteristic
98C2×#88071C2211yescharacteristic
99#11718655C2211yescharacteristic
100#11718655C2211yescharacteristic
101#11718655C2211yescharacteristic
102#11718655C2211yescharacteristic, complemented
103#11718652C2211yescharacteristic
104#11718652C2211yescharacteristic, complemented
105#11718644C2211yescharacteristic, complemented
106#11718644C2211yescharacteristic, complemented
107#11718622C2211yescharacteristic
108#11718622C2211yescharacteristic
109#11718622C2211yescharacteristic
110#11718622C2211yescharacteristic, complemented
111#11718621C2211yescharacteristic
112#11718621C2211yescharacteristic, complemented
113#11718619C2211yescharacteristic
114#11718619C2211yescharacteristic
115#11718616C2211yescharacteristic
116#11718614C2211yescharacteristic, complemented
117#11718614C2211yescharacteristic, complemented
118#11718611C2211yescharacteristic
119#11718611C2211yescharacteristic
120#11718604C2211yescharacteristic
121#11718601C2211yescharacteristic
122#11718601C2211yescharacteristic
123#11718601C2211yescharacteristic
124#11718601C2211yescharacteristic
125#11718601C2211yescharacteristic
126#11718601C2211yescharacteristic, complemented
127#11718601C2211yescharacteristic, complemented
128#11718601C2211yescharacteristic, complemented
129#11718601C2211yescharacteristic, complemented
130#11718601C2211yescharacteristic, complemented
131#11718601C2211yescharacteristic, complemented
132#11718601C2211yescharacteristic, complemented
133#11718600C2211yescharacteristic
134#11718600C2211yescharacteristic
135#11718600C2211yescharacteristic
136#11718600C2211yescharacteristic
137#11718600C2211yescharacteristic
138#11718600C2211yescharacteristic
139#11718600C2211yescharacteristic, complemented
140C4×#6103C2211yescharacteristic
141C4×#6103C2211yescharacteristic
142C4×#6103C2211yescharacteristic
143C4×#6103C2211yescharacteristic
144C4×#6103C2211yescharacteristic
145C4×#6103C2211yescharacteristic
146C4×#6103C2211yescharacteristic
147C4×#6103C2211yescharacteristic
148C4×#6103C2211yescharacteristic
149C4×#6103C2211yescharacteristic
150C4×#6103C2211yescharacteristic, complemented
151C4×#6103C2211yescharacteristic, complemented
152C4×#6103C2211yescharacteristic, complemented
153C4×#6103C2211yescharacteristic, complemented
154#11718597C2211yescharacteristic, complemented
155C4×C4⋊Dic13C2211yescharacteristic, complemented
156C4×C4⋊Dic13C2211yescharacteristic, complemented
157C4×C4⋊Dic13C2211yescharacteristic, complemented
158#11718590C2211yescharacteristic, complemented
159#11718590C2211yescharacteristic, complemented
160#11718590C2211yescharacteristic, complemented
161#11718589C2211yescharacteristic, complemented
162#11718589C2211yescharacteristic, complemented
163#11718589C2211yescharacteristic, complemented
164#11718589C2211yescharacteristic, complemented
165#11718338C2211yescharacteristic
166#11718338C2211yescharacteristic
167#11718335C2211yescharacteristic
168#11718335C2211yescharacteristic, complemented
169#11718334C2211yescharacteristic
170#11718334C2211yescharacteristic, complemented
171#11718333C2211yescharacteristic
172#11718333C2211yescharacteristic
173#11718332C2211yescharacteristic
174#11718332C2211yescharacteristic
175#11718331C2211yescharacteristic, complemented
176#11718331C2211yescharacteristic, complemented
177#11718329C2211yescharacteristic
178#11718329C2211yescharacteristic
179#11718326C2211yescharacteristic
180#11718326C2211yescharacteristic
181#11718322C2211yescharacteristic, complemented
182#11718322C2211yescharacteristic, complemented
183#11718320C2211yescharacteristic, complemented
184#11718320C2211yescharacteristic, complemented
185#11718317C2211yescharacteristic, complemented
186#11718317C2211yescharacteristic, complemented
187#11718314C2211yescharacteristic, complemented
188#11718314C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×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
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C23×Dic13C2311yescharacteristic
206C2×#6127—24no—
207C2×#6127—24no—
208C2×#6127—42no—
209C22×D52C2311yescharacteristic
210C22×D52C2311yescharacteristic
211C22×D52C2311yescharacteristic
212C22×D52C2311yescharacteristic
213C22×D52C2311yescharacteristic
214C22×C4×D13—24no—
215C22×C4×D13—24no—
216C22×C4×D13—42no—
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×C4×D13C2311yescharacteristic
220C22×C4×D13C2311yescharacteristic
221C22×C4×D13C2311yescharacteristic
222C22×C4×D13C2311yescharacteristic
223C22×Dic26C2311yescharacteristic
224C22×Dic26C2311yescharacteristic
225C4×D4×C13—24no—
226C4×D4×C13—24no—
227C4×D4×C13D418yescomplemented
228C2×C13×C4⋊C4C2311yescharacteristic
229C2×C13×C4⋊C4C2311yescharacteristic
230C2×C13×C4⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C42×C13—42no—
238C2×C42×C13—42no—
239C2×C42×C13C2311yescharacteristic
240C2×C42×C13C2311yescharacteristic
241C2×C42×C13C2311yescharacteristic
242C2×C42×C13C2311yescharacteristic
243C2×C42×C13C2311yescharacteristic
244C2×C42×C13C2311yescharacteristic
245C2×C42×C13C2311yescharacteristic
246C2×C42×C13C2311yescharacteristic
247C2×C42×C13C2311yescharacteristic
248C2×C42×C13C2311yescharacteristic
249C2×C42×C13C2311yescharacteristic
250C2×C42×C13C2311yescharacteristic
251C2×C42×C13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258#88193—24no—
259#88193—24no—
260#88191—24no—
261#88189—24no—
262#88184—24no—
263#88184—24no—
264C4×C22⋊D13—24no—
265C4×C22⋊D13—24no—
266C4×C22⋊D13—24no—
267C4×C22⋊D13—24no—
268C2×#6103—24no—
269C2×#6103—24no—
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×#6103C2311yescharacteristic
294C2×#6103C2311yescharacteristic
295C2×#6103C2311yescharacteristic
296C2×#6103C2311yescharacteristic
297C2×#6103C2311yescharacteristic
298C2×#6103C2311yescharacteristic
299C2×#6103C2311yescharacteristic
300C2×#6103C2311yescharacteristic
301C2×#6103C2311yescharacteristic
302C2×#6103C2311yescharacteristic
303C2×#6103C2311yescharacteristic
304C2×#6103C2311yescharacteristic
305C2×#6103C2311yescharacteristic
306#88180—24no—
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
318C2×C4⋊Dic13C2311yescharacteristic
319C2×C4⋊Dic13C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×#6101C2311yescharacteristic
324C2×#6101C2311yescharacteristic
325C2×#6101C2311yescharacteristic
326C2×#6101C2311yescharacteristic
327C2×#6101C2311yescharacteristic
328C2×#6101C2311yescharacteristic
329C2×#6101C2311yescharacteristic
330C2×C4×Dic13—24no—
331C2×C4×Dic13C2311yescharacteristic
332C2×C4×Dic13C2311yescharacteristic
333C2×C4×Dic13C2311yescharacteristic
334C2×C4×Dic13C2311yescharacteristic
335C2×C4×Dic13C2311yescharacteristic
336C2×C4×Dic13C2311yescharacteristic
337#88152—24no—
338#88150—24no—
339#88148—24no—
340#88143—24no—
341#88140—24no—
342#88140—24no—
343#88139—24no—
344#88138—24no—
345#88137—24no—
346#88136—24no—
347#88136—24no—
348#88133—24no—
349#88132—24no—
350#88132—24no—
351#88129—24no—
352C4×D52—24no—
353C4×D52—24no—
354C4×D52—42no—
355C4×D52—42no—
356#88126—24no—
357#88126—24no—
358C4×Dic26—24no—
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361C13×#95C2311yescharacteristic
362C13×#95C2311yescharacteristic
363C13×#95C2311yescharacteristic
364C13×#95C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#88071C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#34829—131nomaximal, Sylow
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C23×D13—22no—
395C23×D13—22no—
396C23×D13—22no—
397C23×D13—22no—
398C23×D13—22no—
399C23×D13—41no—
400C23×D13—41no—
401C23×D13C2411yescharacteristic
402C23×D13C2411yescharacteristic
403C23×D13C2411yescharacteristic
404C23×D13C2411yescharacteristic
405C2×D4×C13—22no—
406C2×D4×C13—22no—
407C2×D4×C13C2×D414yes—
408C22×C4×C13—22no—
409C22×C4×C13—22no—
410C22×C4×C13—22no—
411C22×C4×C13—22no—
412C22×C4×C13—22no—
413C22×C4×C13—22no—
414C22×C4×C13—22no—
415C22×C4×C13—22no—
416C22×C4×C13—22no—
417C22×C4×C13—41no—
418C22×C4×C13—41no—
419C22×C4×C13—41no—
420C22×C4×C13—41no—
421C22×C4×C13—41no—
422C22×C4×C13—41no—
423C22×C4×C13C2×D414yes—
424C22×C4×C13C2×D414yes—
425C22×C4×C13#4114yescomplemented
426C22×C4×C13C2411yescharacteristic
427C22×C4×C13C2411yescharacteristic
428C22×C4×C13C2411yescharacteristic
429C22×C4×C13C2411yescharacteristic
430C22×C4×C13C2411yescharacteristic
431C22×C4×C13C2411yescharacteristic
432C22×C4×C13C2411yescharacteristic
433C22×C4×C13C2411yescharacteristic
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C2×C22⋊D13—22no—
440C2×C22⋊D13—22no—
441C2×C22⋊D13—22no—
442C2×C22⋊D13—22no—
443C2×C22⋊D13—22no—
444C2×C22⋊D13—22no—
445C2×C22⋊D13—22no—
446C2×C22⋊D13—22no—
447C2×C22⋊D13—22no—
448C2×C22⋊D13—22no—
449C2×C22⋊D13—22no—
450C2×C22⋊D13—22no—
451C2×C22⋊D13—22no—
452C2×C22⋊D13—22no—
453C2×C22⋊D13—41no—
454C2×C22⋊D13—41no—
455C2×C22⋊D13—41no—
456C2×C22⋊D13—41no—
457C22×Dic13—22no—
458C22×Dic13—22no—
459C22×Dic13—22no—
460C22×Dic13—22no—
461C22×Dic13—22no—
462C22×Dic13—22no—
463C22×Dic13—22no—
464C22×Dic13—41no—
465C22×Dic13—41no—
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C22×Dic13C2411yescharacteristic
475C22×Dic13C2411yescharacteristic
476C22×Dic13C2411yescharacteristic
477C22×Dic13C2411yescharacteristic
478#6127—416no—
479C2×D52—22no—
480C2×D52—22no—
481C2×D52—22no—
482C2×D52—22no—
483C2×D52—22no—
484C2×D52—22no—
485C2×D52—22no—
486C2×D52—22no—
487C2×D52—22no—
488C2×D52—41no—
489C2×D52—41no—
490C2×D52—41no—
491C2×D52—41no—
492C2×D52—41no—
493C2×D52—41no—
494C2×C4×D13—22no—
495C2×C4×D13—22no—
496C2×C4×D13—22no—
497C2×C4×D13—22no—
498C2×C4×D13—22no—
499C2×C4×D13—22no—
500C2×C4×D13—22no—
501C2×C4×D13—22no—
502C2×C4×D13—22no—
503C2×C4×D13—22no—
504C2×C4×D13—22no—
505C2×C4×D13—22no—
506C2×C4×D13—22no—
507C2×C4×D13—22no—
508C2×C4×D13—22no—
509C2×C4×D13—416no—
510C2×C4×D13—41no—
511C2×C4×D13—41no—
512C2×C4×D13#4114yes—
513C2×Dic26—22no—
514C2×Dic26—22no—
515C2×Dic26—22no—
516C2×Dic26—22no—
517C2×Dic26—41no—
518C2×Dic26—41no—
519C13×C4⋊C4—22no—
520C13×C4⋊C4—22no—
521C13×C4⋊C4C2×D414yes—
522C13×C22⋊C4—22no—
523C13×C22⋊C4—22no—
524C13×C22⋊C4—22no—
525C13×C22⋊C4C2×D414yes—
526C13×C22⋊C4C2×D414yes—
527C13×C22⋊C4#4114yescomplemented
528C42×C13—22no—
529C42×C13—22no—
530C42×C13—22no—
531C42×C13—22no—
532C42×C13—22no—
533C42×C13—22no—
534C42×C13—22no—
535C42×C13—41no—
536C42×C13—41no—
537C42×C13—41no—
538C42×C13—41no—
539C42×C13—41no—
540C42×C13C2×D414yes—
541C22⋊Dic13—22no—
542C22⋊Dic13—22no—
543C22⋊Dic13—22no—
544C22⋊Dic13—22no—
545C22⋊Dic13—22no—
546C22⋊Dic13—22no—
547#6103—22no—
548#6103—22no—
549#6103—22no—
550#6103—22no—
551#6103—22no—
552#6103—22no—
553#6103—22no—
554#6103—22no—
555#6103—22no—
556#6103—22no—
557#6103—22no—
558#6103—22no—
559#6103—22no—
560#6103—22no—
561#6103—22no—
562#6103—22no—
563#6103—22no—
564#6103—22no—
565#6103—22no—
566#6103—22no—
567#6103—22no—
568#6103—22no—
569#6103—22no—
570#6103—22no—
571#6103—22no—
572#6103—22no—
573#6103—22no—
574#6103—22no—
575#6103—22no—
576#6103—41no—
577#6103—41no—
578#6103—41no—
579#6103—41no—
580#6103—41no—
581#6103—41no—
582#6103#4114yescomplemented
583C4⋊Dic13—22no—
584C4⋊Dic13—22no—
585C4⋊Dic13—22no—
586C4⋊Dic13—22no—
587C4⋊Dic13—22no—
588C4⋊Dic13—22no—
589C4⋊Dic13—22no—
590C4⋊Dic13—22no—
591C4⋊Dic13—22no—
592C4⋊Dic13—41no—
593C4⋊Dic13—41no—
594C4⋊Dic13—41no—
595C4⋊Dic13—41no—
596#6101—22no—
597#6101—22no—
598#6101—22no—
599#6101—22no—
600#6101—22no—
601#6101—22no—
602#6101—22no—
603#6101—22no—
604#6101—22no—
605#6101—22no—
606C4×Dic13—22no—
607C4×Dic13—22no—
608C4×Dic13—22no—
609C4×Dic13—22no—
610C4×Dic13—22no—
611C4×Dic13—22no—
612C2×#529—131no—
613C2×#525—131no—
614#2560—131no—
615#2559—131no—
616#2558—131no—
617#2557—131no—
618#2556—131no—
619#2555—131no—
620#2554—131no—
621#2553—131no—
622#2549—131no—
623#2543—131no—
624#2539—131no—
625#2534—131no—
626#2488—131no—
627#2472—131no—
628#2425—131no—
629#2424—131no—
630#2396—131no—
631#2395—131no—
632#2392—131no—
633#2388—131no—
634C4×#124—131no—
635C4×#123—131no—
636C4×#121—131no—
637C4×#121—131no—
638C4×#120—131no—
639#2297—131no—
640#2293—131no—
641C42×D4D1311yescharacteristic, complemented
642C2×C4×C22⋊C4—131no—
643C23×C13—21no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13—21no—
647C23×C13—21no—
648C23×C13—21no—
649C23×C13—21no—
650C23×C13—21no—
651C23×C13—21no—
652C23×C13—21no—
653C23×C13C22×D412yes—
654C23×C13C22×D412yes—
655C23×C13C2×#4112yes—
656C23×C13C2×#4112yes—
657C23×C13C2511yescharacteristic
658C22×D13—28no—
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—21no—
662C22×D13—21no—
663C22×D13—21no—
664C22×D13—21no—
665C22×D13—21no—
666C22×D13—21no—
667C22×D13—21no—
668C22×D13—21no—
669C22×D13—21no—
670C22×D13—21no—
671C22×D13—21no—
672C22×D13—21no—
673C22×D13—21no—
674C22×D13—21no—
675C22×D13—21no—
676C22×D13—21no—
677C22×D13—21no—
678C22×D13—21no—
679C22×D13—21no—
680C22×D13—21no—
681C22×D13—21no—
682C22×D13—21no—
683C22×D13—21no—
684C22×D13—21no—
685C22×D13—44no—
686C22×D13—44no—
687C22×D13—44no—
688C22×D13—44no—
689C22×D13—44no—
690C22×D13—44no—
691C22×D13C2×#4112yes—
692C22×D13C2×#4112yes—
693D4×C13—28no—
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—21no—
708C2×C4×C13—21no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—28no—
713C2×C4×C13—28no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—21no—
720C2×C4×C13—21no—
721C2×C4×C13—21no—
722C2×C4×C13—21no—
723C2×C4×C13—44no—
724C2×C4×C13—44no—
725C2×C4×C13—44no—
726C2×C4×C13—44no—
727C2×C4×C13C22×D412yes—
728C2×C4×C13C22×D412yes—
729C2×C4×C13C22×D412yes—
730C2×C4×C13C22×D412yes—
731C2×C4×C13C22×D412yes—
732C2×C4×C13C2×#4112yes—
733C2×C4×C13C2×#4112yes—
734C2×C4×C13C2×#4112yes—
735C2×C4×C13C2×#4112yes—
736C2×C4×C13C2×#4112yes—
737C2×C4×C13C2×#4112yes—
738C2×C4×C13H(5,𝔽2)12yes—
739C22⋊D13—44no—
740C22⋊D13—44no—
741C22⋊D13—44no—
742C22⋊D13—44no—
743C22⋊D13—44no—
744C22⋊D13—44no—
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—21no—
762C2×Dic13—21no—
763C2×Dic13—21no—
764C2×Dic13—21no—
765C2×Dic13—21no—
766C2×Dic13—21no—
767C2×Dic13—21no—
768C2×Dic13—21no—
769C2×Dic13—21no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—21no—
777C2×Dic13—21no—
778C2×Dic13—21no—
779C2×Dic13—44no—
780C2×Dic13—44no—
781C2×Dic13—44no—
782C2×Dic13C2×#4112yes—
783C2×Dic13C2×#4112yes—
784D52—44no—
785D52—44no—
786D52—44no—
787D52—44no—
788D52—44no—
789C4×D13—28no—
790C4×D13—44no—
791C4×D13—44no—
792C4×D13—44no—
793C4×D13—44no—
794C4×D13—44no—
795Dic26—44no—
796Dic26—44no—
797C22×#41—131no—
798C24×C4—131no—
799#529—268no—
800C2×#126—131no—
801C2×#126—131no—
802C2×#125—131no—
803C2×#124—131no—
804C2×#124—131no—
805#525—268no—
806C2×#123—131no—
807C2×#123—131no—
808C2×#123—131no—
809C2×#123—131no—
810C2×#123—131no—
811C2×C22⋊Q8—131no—
812C2×C22⋊Q8—131no—
813C2×C22⋊Q8—131no—
814C2×#121—131no—
815C2×#121—131no—
816C2×#121—131no—
817C2×#121—131no—
818C2×#121—131no—
819C2×#120—131no—
820C2×#120—131no—
821C2×#120—131no—
822C2×C4×Q8—131no—
823C2×C4×D4—131no—
824C2×C4×D4—131no—
825C2×C4×D4—131no—
826C2×C4×D4—131no—
827C2×C4×D4—131no—
828C2×C4×D4—131no—
829C2×C4×D4—131no—
830C2×C4×D4—131no—
831C2×C4×D4C2×D1311yescharacteristic
832C2×C4×D4C2×D1311yescharacteristic
833C2×C4×D4C2×D1311yescharacteristic
834C2×#117—131no—
835C2×#117—131no—
836C2×#117—131no—
837C22×C22⋊C4—131no—
838C22×C22⋊C4—131no—
839C22×C42—131no—
840C22×C42C2×D1311yescharacteristic
841C22×C42C2×D1311yescharacteristic, complemented
842#400—131no—
843#400—131no—
844#399—131no—
845#399—131no—
846#398—131no—
847#398—131no—
848#398—131no—
849#398—131no—
850#397—131no—
851#397—131no—
852#397—131no—
853#397—131no—
854#396—131no—
855#396—131no—
856#396—131no—
857#396—131no—
858#395—131no—
859#395—131no—
860#394—131no—
861#394—131no—
862#394—131no—
863#394—131no—
864#394—131no—
865#394—131no—
866#394—131no—
867#394—131no—
868#393—131no—
869#393—131no—
870#392—131no—
871#392—131no—
872#392—131no—
873#392—131no—
874#391—131no—
875#391—131no—
876#391—131no—
877#390—131no—
878#390—131no—
879#390—131no—
880#390—131no—
881#390—131no—
882#390—131no—
883#390—131no—
884#389—131no—
885#389—131no—
886#389—131no—
887#389—131no—
888#388—131no—
889#388—131no—
890#388—131no—
891#388—131no—
892#388—131no—
893#388—131no—
894#388—131no—
895#388—131no—
896#388—131no—
897#388—131no—
898#388—131no—
899#388—131no—
900#388—131no—
901#388—131no—
902#387—131no—
903#387—131no—
904#386—131no—
905#386—131no—
906#386—131no—
907#386—131no—
908#386—131no—
909#386—131no—
910#386—131no—
911#386—131no—
912#386—131no—
913#386—131no—
914#386—131no—
915#386—131no—
916#385—131no—
917#385—131no—
918#385—131no—
919#385—131no—
920#382—131no—
921#381—131no—
922#380—131no—
923#380—131no—
924#379—131no—
925C4×C4⋊C4—131no—
926C4×C4⋊C4—131no—
927C4×C4⋊C4—131no—
928C4×C4⋊C4C2×D1311yescharacteristic, complemented
929C4×C4⋊C4C2×D1311yescharacteristic, complemented
930C4×C4⋊C4C2×D1311yescharacteristic, complemented
931C4×C22⋊C4—131no—
932C4×C22⋊C4—131no—
933C4×C22⋊C4—131no—
934C4×C22⋊C4—131no—
935C4×C22⋊C4—131no—
936C4×C22⋊C4—131no—
937C4×C22⋊C4—131no—
938C4×C22⋊C4—131no—
939C4×C22⋊C4—131no—
940C4×C22⋊C4—131no—
941C4×C22⋊C4—131no—
942C4×C22⋊C4—131no—
943C4×C22⋊C4—131no—
944C4×C22⋊C4—131no—
945C4×C22⋊C4C2×D1311yescharacteristic
946C4×C22⋊C4C2×D1311yescharacteristic
947C4×C22⋊C4C2×D1311yescharacteristic
948C4×C22⋊C4C2×D1311yescharacteristic, complemented
949C4×C22⋊C4C2×D1311yescharacteristic, complemented
950C4×C22⋊C4C2×D1311yescharacteristic, complemented
951C2×#95—131no—
952C2×#95—131no—
953C43C2×D1311yescharacteristic, complemented
954C22×C13—22no—
955C22×C13—22no—
956C22×C13—22no—
957C22×C13—22no—
958C22×C13—22no—
959C22×C13—22no—
960C22×C13—22no—
961C22×C13—22no—
962C22×C13—22no—
963C22×C13—41no—
964C22×C13—41no—
965C22×C13—41no—
966C22×C13—41no—
967C22×C13#53214yes—
968C22×C13C23×D411yescharacteristic
969C22×C13C22×#4111yescharacteristic
970C22×C13C22×#4111yescharacteristic
971C22×C13C22×#4111yescharacteristic
972C22×C13C22×#4111yescharacteristic
973C22×C13C2×H(5,𝔽2)11yescharacteristic
974C22×C13#58511yescharacteristic
975C2×D13—22no—
976C2×D13—22no—
977C2×D13—22no—
978C2×D13—22no—
979C2×D13—22no—
980C2×D13—22no—
981C2×D13—416no—
982C2×D13—41no—
983C2×D13—41no—
984C2×D13—41no—
985C2×D13—41no—
986C2×D13—41no—
987C2×D13—41no—
988C2×D13—41no—
989C2×D13—41no—
990C2×D13—41no—
991C2×D13—41no—
992C2×D13—41no—
993C2×D13—41no—
994C2×D13—41no—
995C2×D13—41no—
996C2×D13—41no—
997C2×D13—41no—
998C2×D13—41no—
999C2×D13—41no—
1000C2×D13—41no—
1001C2×D13—41no—
1002C2×D13—41no—
1003C2×D13—41no—
1004C4×C13—22no—
1005C4×C13—22no—
1006C4×C13—22no—
1007C4×C13—22no—
1008C4×C13—22no—
1009C4×C13—22no—
1010C4×C13—22no—
1011C4×C13—22no—
1012C4×C13—22no—
1013C4×C13—41no—
1014C4×C13—41no—
1015C4×C13—41no—
1016C4×C13#54614yes—
1017Dic13—22no—
1018Dic13—22no—
1019Dic13—41no—
1020Dic13—41no—
1021Dic13—41no—
1022Dic13—41no—
1023Dic13—41no—
1024Dic13—41no—
1025Dic13—41no—
1026Dic13—41no—
1027Dic13—41no—
1028Dic13—41no—
1029C25—131no—
1030C2×#41—264no—
1031C2×#41—264no—
1032C2×#41—522no—
1033C22×Q8—131no—
1034C22×Q8—131no—
1035C22×D4—131no—
1036C22×D4—131no—
1037C22×D4—131no—
1038C22×D4—131no—
1039C22×D4—131no—
1040C22×D4—131no—
1041C22×D4—131no—
1042C22×D4—131no—
1043C22×D4—131no—
1044C22×D4—131no—
1045C22×D4—131no—
1046C22×D4C22×D1311yescharacteristic
1047C23×C4—131no—
1048C23×C4—131no—
1049C23×C4—131no—
1050C23×C4—131no—
1051C23×C4—131no—
1052C23×C4—131no—
1053C23×C4—131no—
1054C23×C4—131no—
1055C23×C4—131no—
1056C23×C4—264no—
1057C23×C4—264no—
1058C23×C4—522no—
1059C23×C4C22×D1311yescharacteristic
1060C23×C4C22×D1311yescharacteristic
1061C23×C4C22×D1311yescharacteristic
1062C23×C4C22×D1311yescharacteristic
1063C23×C4C22×D1311yescharacteristic
1064C23×C4C22×D1311yescharacteristic
1065#126—264no—
1066#126—264no—
1067#125—264no—
1068#124—264no—
1069#124—264no—
1070#123—264no—
1071#123—264no—
1072#123—264no—
1073#123—264no—
1074#123—264no—
1075C22⋊Q8—264no—
1076C22⋊Q8—264no—
1077C22⋊Q8—264no—
1078#121—264no—
1079#121—264no—
1080#121—264no—
1081#121—264no—
1082#121—264no—
1083#120—264no—
1084#120—264no—
1085#120—264no—
1086C4×Q8—264no—
1087C4×D4—24no—
1088C4×D4—24no—
1089C4×D4—264no—
1090C4×D4—264no—
1091C4×D4—264no—
1092C4×D4—264no—
1093C4×D4—264no—
1094C4×D4—264no—
1095C4×D4—522no—
1096C4×D4—522no—
1097C4×D4D5218yescomplemented
1098#117—264no—
1099#117—264no—
1100#117—264no—
1101C2×C4⋊C4—131no—
1102C2×C4⋊C4—131no—
1103C2×C4⋊C4—131no—
1104C2×C4⋊C4—131no—
1105C2×C4⋊C4—131no—
1106C2×C4⋊C4—131no—
1107C2×C4⋊C4—131no—
1108C2×C4⋊C4—131no—
1109C2×C4⋊C4—131no—
1110C2×C4⋊C4—131no—
1111C2×C4⋊C4—131no—
1112C2×C4⋊C4—131no—
1113C2×C4⋊C4—131no—
1114C2×C4⋊C4—131no—
1115C2×C4⋊C4—131no—
1116C2×C4⋊C4—131no—
1117C2×C4⋊C4—131no—
1118C2×C4⋊C4—131no—
1119C2×C4⋊C4—131no—
1120C2×C4⋊C4—131no—
1121C2×C4⋊C4—131no—
1122C2×C4⋊C4—131no—
1123C2×C4⋊C4—131no—
1124C2×C4⋊C4C22×D1311yescharacteristic
1125C2×C4⋊C4C22×D1311yescharacteristic
1126C2×C4⋊C4C22×D1311yescharacteristic
1127C2×C22⋊C4—131no—
1128C2×C22⋊C4—131no—
1129C2×C22⋊C4—131no—
1130C2×C22⋊C4—131no—
1131C2×C22⋊C4—131no—
1132C2×C22⋊C4—131no—
1133C2×C22⋊C4—131no—
1134C2×C22⋊C4—131no—
1135C2×C22⋊C4—131no—
1136C2×C22⋊C4—131no—
1137C2×C22⋊C4—131no—
1138C2×C22⋊C4—131no—
1139C2×C22⋊C4—131no—
1140C2×C22⋊C4—131no—
1141C2×C22⋊C4—131no—
1142C2×C22⋊C4—131no—
1143C2×C22⋊C4—131no—
1144C2×C22⋊C4—131no—
1145C2×C22⋊C4—131no—
1146C2×C22⋊C4—131no—
1147C2×C22⋊C4—131no—
1148C2×C22⋊C4—131no—
1149C2×C22⋊C4—131no—
1150C2×C22⋊C4—131no—
1151C2×C22⋊C4—131no—
1152C2×C22⋊C4—131no—
1153C2×C22⋊C4—131no—
1154C2×C22⋊C4—131no—
1155C2×C22⋊C4—131no—
1156C2×C22⋊C4—131no—
1157C2×C22⋊C4—131no—
1158C2×C22⋊C4—131no—
1159C2×C22⋊C4—131no—
1160C2×C22⋊C4—131no—
1161C2×C22⋊C4—131no—
1162C2×C22⋊C4—131no—
1163C2×C22⋊C4—131no—
1164C2×C22⋊C4—131no—
1165C2×C22⋊C4—131no—
1166C2×C22⋊C4—131no—
1167C2×C22⋊C4—131no—
1168C2×C22⋊C4—131no—
1169C2×C22⋊C4—264no—
1170C2×C22⋊C4—264no—
1171C2×C22⋊C4C22×D1311yescharacteristic
1172C2×C22⋊C4C22×D1311yescharacteristic
1173C2×C22⋊C4C22×D1311yescharacteristic
1174C2×C22⋊C4C22×D1311yescharacteristic
1175C2×C22⋊C4C22×D1311yescharacteristic
1176C2×C22⋊C4C22×D1311yescharacteristic
1177C2×C42—42no—
1178C2×C42—42no—
1179C2×C42—131no—
1180C2×C42—131no—
1181C2×C42—131no—
1182C2×C42—131no—
1183C2×C42—131no—
1184C2×C42—131no—
1185C2×C42—264no—
1186C2×C42C22×D1311yescharacteristic
1187C2×C42C22×D1311yescharacteristic
1188C2×C42C22×D1311yescharacteristic
1189C2×C42C22×D1311yescharacteristic
1190C2×C42C22×D1311yescharacteristic
1191C2×C42C22×D1311yescharacteristic
1192C2×C42C22×D1311yescharacteristic
1193C2×C42C22×D1311yescharacteristic
1194C2×C42C22×D1311yescharacteristic
1195C2×C42C22×D1311yescharacteristic
1196C2×C42C22×D1311yescharacteristic
1197C2×C42C22×D1311yescharacteristic
1198C2×C42C22×D1311yescharacteristic
1199#95—131no—
1200#95—131no—
1201#95—131no—
1202#95—131no—
1203#95—131no—
1204#95—131no—
1205#95—131no—
1206#95—131no—
1207#95—131no—
1208#95—131no—
1209#95—131no—
1210#95—131no—
1211#95—131no—
1212#95—131no—
1213#95—131no—
1214#95—131no—
1215#95—131no—
1216#95—131no—
1217#95—131no—
1218#95—131no—
1219#95—131no—
1220#95—131no—
1221#95—131no—
1222#95—131no—
1223#95—131no—
1224#95—131no—
1225#95C22×D1311yescharacteristic
1226#95C22×D1311yescharacteristic
1227#95C22×D1311yescharacteristic
1228#95C22×D1311yescharacteristic
1229#95C22×D1311yescharacteristic
1230#95C22×D1311yescharacteristic
1231C2×C13—24no—
1232C2×C13—42no—
1233C2×C13C2×#53211yescharacteristic
1234C2×C13#344411yescharacteristic
1235C2×C13#345911yescharacteristic
1236C2×C13C2×#54611yescharacteristic
1237C2×C13D4×#4111yescharacteristic
1238C2×C13#347511yescharacteristic
1239C2×C13#348111yescharacteristic
1240D13—42no—
1241D13—42no—
1242D13—81no—
1243D13—81no—
1244C24—131no—
1245C24—131no—
1246C24—131no—
1247C24—131no—
1248C24—262no—
1249C24—262no—
1250C24—262no—
1251C24—262no—
1252C24—262no—
1253C24—521no—
1254C24—521no—
1255C24C23×D1311yescharacteristic
1256C24C23×D1311yescharacteristic
1257#41—5216no—
1258C2×Q8—262no—
1259C2×Q8—262no—
1260C2×Q8—262no—
1261C2×Q8—262no—
1262C2×Q8—521no—
1263C2×Q8—521no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—262no—
1267C2×D4—262no—
1268C2×D4—262no—
1269C2×D4—262no—
1270C2×D4—262no—
1271C2×D4—262no—
1272C2×D4—262no—
1273C2×D4—262no—
1274C2×D4—262no—
1275C2×D4—262no—
1276C2×D4—262no—
1277C2×D4—262no—
1278C2×D4—262no—
1279C2×D4—262no—
1280C2×D4—262no—
1281C2×D4—262no—
1282C2×D4—262no—
1283C2×D4—262no—
1284C2×D4—262no—
1285C2×D4—262no—
1286C2×D4—262no—
1287C2×D4—262no—
1288C2×D4—262no—
1289C2×D4—521no—
1290C2×D4—521no—
1291C2×D4—521no—
1292C2×D4—521no—
1293C2×D4—521no—
1294C2×D4—521no—
1295C2×D4—521no—
1296C2×D4—521no—
1297C2×D4—521no—
1298C2×D4—521no—
1299C2×D4C2×D5214yes—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—131no—
1316C22×C4—131no—
1317C22×C4—134no—
1318C22×C4—131no—
1319C22×C4—131no—
1320C22×C4—131no—
1321C22×C4—131no—
1322C22×C4—131no—
1323C22×C4—131no—
1324C22×C4—131no—
1325C22×C4—131no—
1326C22×C4—131no—
1327C22×C4—131no—
1328C22×C4—262no—
1329C22×C4—262no—
1330C22×C4—262no—
1331C22×C4—262no—
1332C22×C4—262no—
1333C22×C4—262no—
1334C22×C4—262no—
1335C22×C4—262no—
1336C22×C4—262no—
1337C22×C4—262no—
1338C22×C4—262no—
1339C22×C4—262no—
1340C22×C4—262no—
1341C22×C4—262no—
1342C22×C4—262no—
1343C22×C4—262no—
1344C22×C4—262no—
1345C22×C4—262no—
1346C22×C4—262no—
1347C22×C4—262no—
1348C22×C4—262no—
1349C22×C4—262no—
1350C22×C4—521no—
1351C22×C4—521no—
1352C22×C4—5216no—
1353C22×C4—521no—
1354C22×C4—521no—
1355C22×C4C2×D5214yes—
1356C22×C4C2×D5214yes—
1357C22×C4#612714yescomplemented
1358C22×C4C23×D1311yescharacteristic
1359C22×C4C23×D1311yescharacteristic
1360C22×C4C23×D1311yescharacteristic
1361C22×C4C23×D1311yescharacteristic
1362C22×C4C23×D1311yescharacteristic
1363C22×C4C23×D1311yescharacteristic
1364C22×C4C23×D1311yescharacteristic
1365C22×C4C23×D1311yescharacteristic
1366C22×C4C23×D1311yescharacteristic
1367C22×C4C23×D1311yescharacteristic
1368C22×C4C23×D1311yescharacteristic
1369C22×C4C23×D1311yescharacteristic
1370C22×C4C23×D1311yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—262no—
1374C4⋊C4—262no—
1375C4⋊C4—262no—
1376C4⋊C4—262no—
1377C4⋊C4—262no—
1378C4⋊C4—262no—
1379C4⋊C4—262no—
1380C4⋊C4—262no—
1381C4⋊C4—262no—
1382C4⋊C4—262no—
1383C4⋊C4—262no—
1384C4⋊C4—262no—
1385C4⋊C4—262no—
1386C4⋊C4—262no—
1387C4⋊C4—262no—
1388C4⋊C4—262no—
1389C4⋊C4—262no—
1390C4⋊C4—262no—
1391C4⋊C4—262no—
1392C4⋊C4—521no—
1393C4⋊C4—521no—
1394C4⋊C4—521no—
1395C4⋊C4—521no—
1396C4⋊C4C2×D5214yes—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—134no—
1401C22⋊C4—262no—
1402C22⋊C4—262no—
1403C22⋊C4—262no—
1404C22⋊C4—262no—
1405C22⋊C4—262no—
1406C22⋊C4—262no—
1407C22⋊C4—262no—
1408C22⋊C4—262no—
1409C22⋊C4—262no—
1410C22⋊C4—262no—
1411C22⋊C4—262no—
1412C22⋊C4—262no—
1413C22⋊C4—262no—
1414C22⋊C4—262no—
1415C22⋊C4—262no—
1416C22⋊C4—262no—
1417C22⋊C4—262no—
1418C22⋊C4—262no—
1419C22⋊C4—262no—
1420C22⋊C4—262no—
1421C22⋊C4—262no—
1422C22⋊C4—262no—
1423C22⋊C4—262no—
1424C22⋊C4—262no—
1425C22⋊C4—262no—
1426C22⋊C4—262no—
1427C22⋊C4—262no—
1428C22⋊C4—262no—
1429C22⋊C4—262no—
1430C22⋊C4—262no—
1431C22⋊C4—262no—
1432C22⋊C4—262no—
1433C22⋊C4—262no—
1434C22⋊C4—262no—
1435C22⋊C4—262no—
1436C22⋊C4—521no—
1437C22⋊C4—521no—
1438C22⋊C4—521no—
1439C22⋊C4—521no—
1440C22⋊C4—521no—
1441C22⋊C4—521no—
1442C22⋊C4C2×D5214yes—
1443C22⋊C4C2×D5214yes—
1444C22⋊C4#612714yescomplemented
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—41no—
1453C42—41no—
1454C42—41no—
1455C42—41no—
1456C42—41no—
1457C42—262no—
1458C42—262no—
1459C42—262no—
1460C42—262no—
1461C42—262no—
1462C42—262no—
1463C42C2×D5214yes—
1464C13#3482911yescharacteristic, complemented, Sylow
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—132no—
1476C23—132no—
1477C23—268no—
1478C23—261no—
1479C23—261no—
1480C23—261no—
1481C23—261no—
1482C23—261no—
1483C23—261no—
1484C23—261no—
1485C23—261no—
1486C23—261no—
1487C23—261no—
1488C23—261no—
1489C23—261no—
1490C23—261no—
1491C23—261no—
1492C23—261no—
1493C23—261no—
1494C23—261no—
1495C23—261no—
1496C23—261no—
1497C23—261no—
1498C23—261no—
1499C23—261no—
1500C23—261no—
1501C23—261no—
1502C23—261no—
1503C23—261no—
1504C23—524no—
1505C23—524no—
1506C23—524no—
1507C23—524no—
1508C23—524no—
1509C23—524no—
1510C23C22×D5212yes—
1511C23C22×D5212yes—
1512C23C2×#612712yes—
1513C23C2×#612712yes—
1514C23C24×D1311yescharacteristic
1515Q8—524no—
1516Q8—524no—
1517D4—28no—
1518D4—524no—
1519D4—524no—
1520D4—524no—
1521D4—524no—
1522D4—524no—
1523D4—524no—
1524D4—524no—
1525D4—524no—
1526D4—524no—
1527D4—524no—
1528D4—524no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—28no—
1548C2×C4—28no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—132no—
1563C2×C4—132no—
1564C2×C4—261no—
1565C2×C4—261no—
1566C2×C4—261no—
1567C2×C4—261no—
1568C2×C4—268no—
1569C2×C4—261no—
1570C2×C4—261no—
1571C2×C4—261no—
1572C2×C4—261no—
1573C2×C4—261no—
1574C2×C4—261no—
1575C2×C4—261no—
1576C2×C4—261no—
1577C2×C4—261no—
1578C2×C4—261no—
1579C2×C4—261no—
1580C2×C4—261no—
1581C2×C4—261no—
1582C2×C4—261no—
1583C2×C4—261no—
1584C2×C4—261no—
1585C2×C4—261no—
1586C2×C4—261no—
1587C2×C4—261no—
1588C2×C4—261no—
1589C2×C4—261no—
1590C2×C4—261no—
1591C2×C4—261no—
1592C2×C4—261no—
1593C2×C4—261no—
1594C2×C4—261no—
1595C2×C4—261no—
1596C2×C4—261no—
1597C2×C4—261no—
1598C2×C4—261no—
1599C2×C4—524no—
1600C2×C4—524no—
1601C2×C4—524no—
1602C2×C4—524no—
1603C2×C4—524no—
1604C2×C4—524no—
1605C2×C4—524no—
1606C2×C4—524no—
1607C2×C4C22×D5212yes—
1608C2×C4C22×D5212yes—
1609C2×C4C22×D5212yes—
1610C2×C4C22×D5212yes—
1611C2×C4C22×D5212yes—
1612C2×C4C2×#612712yes—
1613C2×C4C2×#612712yes—
1614C2×C4C2×#612712yes—
1615C2×C4C2×#612712yes—
1616C2×C4#8825112yes—
1617C2×C4#41×D1312yes—
1618C2×C4#41×D1312yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—262no—
1633C22—262no—
1634C22—262no—
1635C22—262no—
1636C22—262no—
1637C22—262no—
1638C22—5216no—
1639C22—521no—
1640C22—521no—
1641C22—521no—
1642C22—521no—
1643C22—521no—
1644C22—521no—
1645C22—521no—
1646C22—521no—
1647C22—521no—
1648C22—521no—
1649C22—521no—
1650C22—521no—
1651C22—521no—
1652C22—521no—
1653C22—521no—
1654C22—521no—
1655C22—521no—
1656C22—521no—
1657C22—521no—
1658C22—521no—
1659C22—521no—
1660C22—521no—
1661C22#1171918214yes—
1662C22C23×D5211yescharacteristic
1663C22C22×#612711yescharacteristic
1664C22C22×#612711yescharacteristic
1665C22C2×#8825111yescharacteristic
1666C22C2×#41×D1311yescharacteristic
1667C22C2×#41×D1311yescharacteristic
1668C22#1171964811yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—262no—
1682C4—262no—
1683C4—521no—
1684C4—521no—
1685C4—521no—
1686C4—521no—
1687C4—521no—
1688C4—521no—
1689C4—521no—
1690C4—521no—
1691C4—521no—
1692C4—521no—
1693C4#1171925914yes—
1694C2—24no—
1695C2—42no—
1696C2—522no—
1697C2—522no—
1698C2—1041no—
1699C2—1041no—
1700C2C2×#1171918211yescharacteristic
1701C2#1312812911yescharacteristic
1702C2#1312824511yescharacteristic
1703C2C2×#1171925911yescharacteristic
1704C2#41×D5211yescharacteristic
1705C2#1312839811yescharacteristic
1706C2#1312844011yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC42×D4×C13C2
hypercenterC42×D4D13
hypocenterC13#34829
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
1. C2×#11719243C2semidirect
2. C2×#11719252C2semidirect
3. #13119974C2semidirect
4. #13119959C2semidirect
5. #13119944C2semidirect
6. #13119929C2semidirect
7. #13119914C2semidirect
8. #13119905C2semidirect
9. #13119890C2semidirect
10. #13119875C2semidirect
11. #13119842C2semidirect
12. #13119792C2semidirect
13. #13119762C2semidirect
14. #13119722C2semidirect
15. #13119156C2semidirect
16. #13118962C2semidirect
17. #13118381C2semidirect
18. #13118366C2semidirect
19. #13118108C2semidirect
20. #13118096C2semidirect
21. #13118076C2semidirect
22. #13118052C2semidirect
23. C4×#88129C2semidirect
24. C4×#88140C2semidirect
25. C4×#88184C2semidirect
26. C4×#88184C2semidirect
27. C4×#88136C2semidirect
28. #13117326C2semidirect
29. #13117300C2semidirect
30. C2×C4×#6103C2semidirect
31. C42×D4×C13C2semidirect
38. C22×C42×C13C22semidirect
48. C2×C4×C22⋊D13C22semidirect
51. C2×#88180C22semidirect
55. C2×#88152C22semidirect
58. C2×#88143C22semidirect
61. C2×#88139C22semidirect
66. C2×#88133C22semidirect
73. C2×C4×D52C22semidirect
75. C2×#88126C22semidirect
76. C2×C4×Dic26C22semidirect
77. C4×C13×C4⋊C4C22semidirect
78. C4×C13×C4⋊C4C22semidirect
79. C4×C13×C4⋊C4C22semidirect
83. C4×C13×C22⋊C4C22semidirect
84. C4×C13×C22⋊C4C22semidirect
85. C4×C13×C22⋊C4C22semidirect
86. C43×C13C22semidirect
92. #11718874C22semidirect
93. #11718874C22semidirect
94. #11718874C22semidirect
96. #11718873C22semidirect
102. #11718655C22semidirect
104. #11718652C22semidirect
105. #11718644C22semidirect
106. #11718644C22semidirect
110. #11718622C22semidirect
112. #11718621C22semidirect
116. #11718614C22semidirect
117. #11718614C22semidirect
126. #11718601C22semidirect
127. #11718601C22semidirect
128. #11718601C22semidirect
129. #11718601C22semidirect
130. #11718601C22semidirect
131. #11718601C22semidirect
132. #11718601C22semidirect
139. #11718600C22semidirect
150. C4×#6103C22semidirect
151. C4×#6103C22semidirect
152. C4×#6103C22semidirect
153. C4×#6103C22semidirect
154. #11718597C22semidirect
155. C4×C4⋊Dic13C22semidirect
156. C4×C4⋊Dic13C22semidirect
157. C4×C4⋊Dic13C22semidirect
158. #11718590C22semidirect
159. #11718590C22semidirect
160. #11718590C22semidirect
161. #11718589C22semidirect
162. #11718589C22semidirect
163. #11718589C22semidirect
164. #11718589C22semidirect
168. #11718335C22semidirect
170. #11718334C22semidirect
175. #11718331C22semidirect
176. #11718331C22semidirect
181. #11718322C22semidirect
182. #11718322C22semidirect
183. #11718320C22semidirect
184. #11718320C22semidirect
185. #11718317C22semidirect
186. #11718317C22semidirect
187. #11718314C22semidirect
188. #11718314C22semidirect
227. C4×D4×C13D4semidirect
425. C22×C4×C13#41semidirect
527. C13×C22⋊C4#41semidirect
582. #6103#41semidirect
641. C42×D4D13semidirect
841. C22×C42C2×D13semidirect
928. C4×C4⋊C4C2×D13semidirect
929. C4×C4⋊C4C2×D13semidirect
930. C4×C4⋊C4C2×D13semidirect
948. C4×C22⋊C4C2×D13semidirect
949. C4×C22⋊C4C2×D13semidirect
950. C4×C22⋊C4C2×D13semidirect
953. C43C2×D13semidirect
1097. C4×D4D52semidirect
1357. C22×C4#6127semidirect
1444. C22⋊C4#6127semidirect
1464. C13#34829semidirect

Maximal subgroups

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

subgroupindex
C2×#117192432
C2×#117192522
#131199742
#131199592
#131199442
#131199292
#131199142
#131199052
#131198902
#131198752
#131198422
#131197922
#131197622
#131197222
#131191562
#131189622
#131183812
#131183662
#131181082
#131180962
#131180762
#131180522
C4×#881292
C4×#881402
C4×#881842
C4×#881362
#131173262
#131173002
C2×C4×#61032
C42×D4×C132
#3482913