Finite Group Databasebeta

← #16807900

Subgroups — #16807900

Order 3328.

2758 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
1#13131377C212yesmaximal, complemented
2#13131375C212yesmaximal, complemented
3#13131367C211yesmaximal, characteristic, complemented
4#13131367C211yesmaximal, characteristic, complemented
5#13131366C211yesmaximal, characteristic, complemented
6#13131366C211yesmaximal, characteristic, complemented
7#13131364C212yesmaximal, complemented
8#13131358C212yesmaximal, complemented
9#13131341C211yesmaximal, characteristic, complemented
10#13131339C211yesmaximal, characteristic, complemented
11D4×C22⋊#261C211yesmaximal, characteristic, complemented
12D4×C22⋊#261C211yesmaximal, characteristic, complemented
13#13131333C212yesmaximal, complemented
14#13131328C211yesmaximal, characteristic, complemented
15#13131326C211yesmaximal, characteristic, complemented
16#13131325C212yesmaximal, complemented
17#13131321C212yesmaximal, complemented
18#13131321C212yesmaximal, complemented
19#13131314C211yesmaximal, characteristic, complemented
20#127×#261C211yesmaximal, characteristic, complemented
21#124×#261C211yesmaximal, characteristic, complemented
22#13131298C211yesmaximal, characteristic, complemented
23D13×#535C211yesmaximal, characteristic
24C2×#41×D13C2211yescharacteristic
25C22×D4×D13C2211yescharacteristic
26C22×C22⋊#261C2212yes—
27C22×C22⋊#261C2212yes—
28C2×Q8×#261C2211yescharacteristic, complemented
29C2×Q8×#261C2211yescharacteristic, complemented
30C2×D4×#261C2211yescharacteristic
31C2×D4×#261C2211yescharacteristic
32C2×D4×#261C2211yescharacteristic
33C2×D4×#261C2211yescharacteristic
34C2×D4×#261C2212yescomplemented
35C2×D4×#261C2211yescharacteristic, complemented
36C2×D4×#261C2212yescomplemented
37C2×D4×#261C2212yescomplemented
38C2×D4×#261C2212yescomplemented
39C2×D4×#261C2211yescharacteristic, complemented
40C13×#535C411yescharacteristic, complemented
41#11719535C411yescharacteristic, complemented
42#11719510C411yescharacteristic, complemented
43#11719420C411yescharacteristic, complemented
44#11719420C411yescharacteristic, complemented
45D13×#127C2211yescharacteristic
46D13×#127C2211yescharacteristic
47#11719379C411yescharacteristic, complemented
48#11719379C411yescharacteristic, complemented
49D13×#124C2211yescharacteristic
50D13×#124C2211yescharacteristic
51#11719312C412yescomplemented
52#11719312C412yescomplemented
53D13×#121C2212yes—
54D13×#121C2212yes—
55#11719297C412yescomplemented
56#11719297C412yescomplemented
57D13×#120C2212yes—
58D13×#120C2212yes—
59#11719230C411yescharacteristic, complemented
60D13×#117C2211yescharacteristic
61#11719171C2212yes—
62#11719171C2212yes—
63(C2×#261)⋊Q8C2211yescharacteristic, complemented
64(C2×#261)⋊Q8C2211yescharacteristic, complemented
65#11719151C2211yescharacteristic
66#11719151C2211yescharacteristic
67#11719151C2212yes—
68#11719151C2212yes—
69#11719151C2211yescharacteristic
70#11719151C2211yescharacteristic
71#11719151C2212yescomplemented
72#11719151C2211yescharacteristic, complemented
73#11719151C2212yescomplemented
74#11719151C2212yescomplemented
75#11719151C2211yescharacteristic, complemented
76#11719151C2212yescomplemented
77#11719150C2212yes—
78#11719150C2212yes—
79#11719150C2212yes—
80#11719150C2212yes—
81#11719150C2212yes—
82#11719150C2212yes—
83#11719150C2212yescomplemented
84#11719150C2212yescomplemented
85#11719150C2212yescomplemented
86#11719150C2212yescomplemented
87#11719150C2212yescomplemented
88#11719150C2212yescomplemented
89#11719150C2212yescomplemented
90#11719150C2212yescomplemented
91#11719136C2211yescharacteristic
92#11719136C2211yescharacteristic
93#11719136C2212yescomplemented
94#11719135C2212yescomplemented
95C4×C22⋊#261C2211yescharacteristic
96C4×C22⋊#261C2211yescharacteristic
97C4×C22⋊#261C2212yescomplemented
98C2×(C2×#261)⋊C4C2212yescomplemented
99#11719082C2211yescharacteristic, complemented
100#11719082C2211yescharacteristic, complemented
101#11719082C2211yescharacteristic, complemented
102#11719082C2211yescharacteristic, complemented
103#11719082C2212yescomplemented
104#11719082C2212yescomplemented
105#11719071C2211yescharacteristic
106#11719071C2211yescharacteristic
107#11719071C2211yescharacteristic
108#11719071C2211yescharacteristic
109#11719071C2212yes—
110#11719071C2212yes—
111#11719071C2212yescomplemented
112#11719071C2212yescomplemented
113#11719071C2212yescomplemented
114#11719071C2212yescomplemented
115#11719071C2212yescomplemented
116#11719071C2212yescomplemented
117#11719071C2212yescomplemented
118#11719071C2212yescomplemented
119#11719070C2212yescomplemented
120#11719070C2212yescomplemented
121#11719070C2212yescomplemented
122#11719070C2212yescomplemented
123C22⋊C4×#261C2212yescomplemented
124C22⋊C4×#261C2212yescomplemented
125C22⋊C4×#261C2212yescomplemented
126C22⋊C4×#261C2212yescomplemented
127#11719060C2211yescharacteristic, complemented
128#11719059C2211yescharacteristic, complemented
129C4×C4⋊#261C2211yescharacteristic, complemented
130C4×C4⋊#261C2211yescharacteristic, complemented
131C4×C4⋊#261C2211yescharacteristic, complemented
132C4×C4⋊#261C2211yescharacteristic, complemented
133#11719057C2211yescharacteristic, complemented
134C42×#261C2211yescharacteristic, complemented
135C24×D13C2312yes—
136C23×#261C2312yes—
137C23×#261C2312yes—
138C23×#261C2312yes—
139C23×#261C2312yes—
140C23×#261C2312yes—
141C23×#261C2312yes—
142C2×C13×#41C2×C411yescharacteristic, complemented
143C22×D4×C13C2×C411yescharacteristic, complemented
144C22×C22⋊D13C2×C412yescomplemented
145#41×D13—42no—
146#41×D13—42no—
147C2×#6131C2×C411yescharacteristic, complemented
148C2×Q8×D13C2311yescharacteristic
149C2×#6129C2×C412yescomplemented
150C2×#6129C2×C411yescharacteristic, complemented
151C2×D4×D13—42no—
152C2×D4×D13—42no—
153C2×D4×D13C2×C412yescomplemented
154C2×D4×D13C2×C411yescharacteristic, complemented
155C2×D4×D13C2×C411yescharacteristic, complemented
156C2×D4×D13C2311yescharacteristic
157C2×D4×D13C2311yescharacteristic
158C2×D4×D13C2311yescharacteristic
159C2×D4×D13C2312yes—
160C2×D4×D13C2312yes—
161C2×D4×D13C2312yes—
162C2×D4×D13C2312yes—
163C2×D4×D13C2312yes—
164C2×D4×D13C2312yes—
165C2×#6127C2×C411yescharacteristic, complemented
166C2×#6127C2×C412yescomplemented
167C22×D52C2×C411yescharacteristic, complemented
168C22×C4×D13C2311yescharacteristic
169C22×C4×D13C2312yes—
170C2×C22⋊#261—44no—
171C2×C22⋊#261—44no—
172C2×C22⋊#261C2312yes—
173C2×C22⋊#261C2312yes—
174C2×C22⋊#261C2311yescharacteristic
175C2×C22⋊#261C2311yescharacteristic
176C2×C22⋊#261C2312yes—
177C2×C22⋊#261C2311yescharacteristic
178C2×C22⋊#261C2311yescharacteristic
179C2×C22⋊#261C2312yes—
180C2×C22⋊#261C2312yes—
181C2×C22⋊#261C2312yes—
182C2×C22⋊#261C2312yes—
183C2×C22⋊#261C2312yes—
184C2×C22⋊#261C2312yes—
185C2×C22⋊#261C2312yes—
186C2×C22⋊#261C2312yes—
187C2×C22⋊#261C2312yes—
188C2×C22⋊#261C2312yes—
189C2×C22⋊#261C2312yes—
190C2×C22⋊#261C2312yes—
191C2×C22⋊#261C2312yes—
192C2×C22⋊#261C2312yes—
193C2×C22⋊#261C2312yes—
194C2×C22⋊#261C2312yes—
195C2×C22⋊#261C2312yes—
196Q8×#261—42no—
197Q8×#261—42no—
198D4×#261—42no—
199D4×#261—42no—
200D4×#261—42no—
201D4×#261—42no—
202D4×#261—42no—
203D4×#261—42no—
204D4×#261—44no—
205D4×#261—44no—
206D4×#261—44no—
207D4×#261—44no—
208C2×C4⋊#261C2311yescharacteristic
209C2×C4⋊#261C2311yescharacteristic
210C2×C4⋊#261C2311yescharacteristic
211C2×C4⋊#261C2311yescharacteristic
212C2×C4⋊#261C2311yescharacteristic
213C2×C4⋊#261C2311yescharacteristic
214C2×C4⋊#261C2311yescharacteristic
215C2×C4⋊#261C2311yescharacteristic
216C2×C4⋊#261C2312yes—
217C2×C4⋊#261C2312yes—
218C2×C4⋊#261C2312yes—
219C2×C4⋊#261C2312yes—
220C2×C4×#261C2311yescharacteristic
221C2×C4×#261C2311yescharacteristic
222C2×C4×#261C2311yescharacteristic
223C2×C4×#261C2311yescharacteristic
224C2×C4×#261C2311yescharacteristic
225C2×C4×#261C2311yescharacteristic
226C2×C4×#261C2311yescharacteristic
227C2×C4×#261C2311yescharacteristic
228C2×C4×#261C2312yes—
229C2×C4×#261C2312yes—
230C2×C4×#261C2312yes—
231C2×C4×#261C2312yes—
232C13×#127C2×C411yescharacteristic, complemented
233C13×#127C2×C411yescharacteristic, complemented
234C13×#124C2×C411yescharacteristic, complemented
235C13×#124C2×C411yescharacteristic, complemented
236C13×#121C2×C412yescomplemented
237C13×#121C2×C412yescomplemented
238C13×#120C2×C412yescomplemented
239C13×#120C2×C412yescomplemented
240C13×#117C2×C411yescharacteristic, complemented
241#88207C2×C412yescomplemented
242#88207C2×C412yescomplemented
243#88201C2×C411yescharacteristic, complemented
244#88201C2×C411yescharacteristic, complemented
245#88194C2×C411yescharacteristic, complemented
246#88194C2×C411yescharacteristic, complemented
247#88194C2×C411yescharacteristic, complemented
248#88194C2×C411yescharacteristic, complemented
249#88194C2×C412yescomplemented
250#88194C2×C412yescomplemented
251#88194C2×C412yescomplemented
252#88194C2×C412yescomplemented
253#88193C2×C412yescomplemented
254#88193C2×C412yescomplemented
255#88193C2×C412yescomplemented
256#88193C2×C412yescomplemented
257#88192C2×C412yescomplemented
258#88192C2×C412yescomplemented
259#88191C2×C412yescomplemented
260#88191C2×C412yescomplemented
261#88191C2×C412yescomplemented
262#88191C2×C412yescomplemented
263#88191C2×C412yescomplemented
264#88191C2×C412yescomplemented
265#88190C2×C411yescharacteristic, complemented
266#88190C2×C411yescharacteristic, complemented
267#88184C2×C412yescomplemented
268#88184C2×C412yescomplemented
269#88180C2×C411yescharacteristic, complemented
270#88149C2×C412yescomplemented
271#88149C2×C412yescomplemented
272#88146C2×C411yescharacteristic, complemented
273#88146C2×C411yescharacteristic, complemented
274C4⋊C4×D13C2311yescharacteristic
275C4⋊C4×D13C2311yescharacteristic
276#88139C2×C412yescomplemented
277#88139C2×C412yescomplemented
278#88139C2×C412yescomplemented
279#88139C2×C412yescomplemented
280#88138C2×C412yescomplemented
281#88138C2×C412yescomplemented
282#88138C2×C412yescomplemented
283#88138C2×C412yescomplemented
284#88136C2×C412yescomplemented
285#88136C2×C412yescomplemented
286#88136C2×C412yescomplemented
287#88136C2×C412yescomplemented
288#88136C2×C412yescomplemented
289#88136C2×C412yescomplemented
290C22⋊C4×D13C2311yescharacteristic
291C22⋊C4×D13C2311yescharacteristic
292C22⋊C4×D13C2312yes—
293C22⋊C4×D13C2312yes—
294C22⋊C4×D13C2312yes—
295C22⋊C4×D13C2312yes—
296#88131C2×C411yescharacteristic, complemented
297#88131C2×C411yescharacteristic, complemented
298#88129C2×C411yescharacteristic, complemented
299#88129C2×C411yescharacteristic, complemented
300#88128C2×C411yescharacteristic, complemented
301#88128C2×C411yescharacteristic, complemented
302#88126C2×C411yescharacteristic, complemented
303#88126C2×C411yescharacteristic, complemented
304C42×D13C2311yescharacteristic
305C42×D13C2311yescharacteristic
306(C2×#261)⋊C4C2311yescharacteristic
307(C2×#261)⋊C4C2311yescharacteristic
308(C2×#261)⋊C4C2311yescharacteristic
309(C2×#261)⋊C4C2311yescharacteristic
310(C2×#261)⋊C4C2311yescharacteristic
311(C2×#261)⋊C4C2311yescharacteristic
312(C2×#261)⋊C4C2312yes—
313(C2×#261)⋊C4C2312yes—
314(C2×#261)⋊C4C2311yescharacteristic
315(C2×#261)⋊C4C2311yescharacteristic
316(C2×#261)⋊C4C2312yes—
317(C2×#261)⋊C4C2312yes—
318(C2×#261)⋊C4C2312yes—
319(C2×#261)⋊C4C2312yes—
320(C2×#261)⋊C4C2312yes—
321(C2×#261)⋊C4C2312yes—
322(C2×#261)⋊C4C2311yescharacteristic
323(C2×#261)⋊C4C2312yes—
324(C2×#261)⋊C4C2311yescharacteristic
325(C2×#261)⋊C4C2311yescharacteristic
326(C2×#261)⋊C4C2311yescharacteristic
327(C2×#261)⋊C4C2312yes—
328#34438—131nomaximal, Sylow
329C24×C13C22×C412yes—
330C23×D13—42no—
331C23×D13—42no—
332C23×D13—42no—
333C23×D13—42no—
334C23×D13—42no—
335C23×D13—42no—
336C23×D13C22×C412yes—
337C23×D13C22×C412yes—
338C23×D13C22×C412yes—
339C23×D13C2411yescharacteristic
340C23×D13C2412yes—
341C23×D13C2412yes—
342C23×D13C2412yes—
343C22×#261—24no—
344C22×#261—24no—
345C22×#261—24no—
346C22×#261—42no—
347C22×#261—42no—
348C22×#261—42no—
349C22×#261—42no—
350C22×#261—42no—
351C22×#261—42no—
352C22×#261—42no—
353C22×#261—42no—
354C22×#261—42no—
355C22×#261—42no—
356C22×#261—42no—
357C22×#261—42no—
358C22×#261—42no—
359C22×#261—42no—
360C22×#261—42no—
361C22×#261C2411yescharacteristic
362C22×#261C2411yescharacteristic
363C22×#261C2412yes—
364C22×#261C2411yescharacteristic
365C22×#261C2411yescharacteristic
366C22×#261C2412yes—
367C22×#261C2411yescharacteristic
368C22×#261C2412yes—
369C22×#261C2411yescharacteristic
370C22×#261C2412yes—
371C22×#261C2411yescharacteristic
372C22×#261C2411yescharacteristic
373C13×#41—42no—
374C2×Q8×C13C22×C411yescharacteristic
375C2×D4×C13—42no—
376C2×D4×C13C22×C411yescharacteristic
377C2×D4×C13C22×C411yescharacteristic
378C2×D4×C13C22×C411yescharacteristic
379C2×D4×C13C22×C412yes—
380C2×D4×C13C22×C412yes—
381C2×D4×C13C22×C412yes—
382C2×D4×C13C22×C412yes—
383C2×D4×C13C22×C412yes—
384C2×D4×C13C22×C412yes—
385C22×C4×C13C22×C411yescharacteristic
386C22×C4×C13C22×C412yes—
387C2×C22⋊D13—44no—
388C2×C22⋊D13C22×C412yes—
389C2×C22⋊D13C22×C412yes—
390C2×C22⋊D13C22×C412yes—
391C2×C22⋊D13C22×C412yes—
392C2×C22⋊D13C22×C412yes—
393C2×C22⋊D13C22×C412yes—
394C2×C22⋊D13C22×C412yes—
395C2×C22⋊D13C22×C412yes—
396C2×C22⋊D13C22×C412yes—
397C2×C22⋊D13C22×C412yes—
398C2×C22⋊D13C22×C412yes—
399C2×C22⋊D13C22×C412yes—
400C2×C22⋊D13C22×C412yes—
401C2×C22⋊D13C22×C412yes—
402C2×C22⋊D13C22×C412yes—
403C22×Dic13C22×C411yescharacteristic
404C22×Dic13C22×C412yes—
405#6131—42no—
406Q8×D13—22no—
407Q8×D13—22no—
408#6129—42no—
409#6129—44no—
410D4×D13—22no—
411D4×D13—22no—
412D4×D13—22no—
413D4×D13—22no—
414D4×D13—22no—
415D4×D13—22no—
416D4×D13—42no—
417D4×D13—42no—
418D4×D13—44no—
419D4×D13—42no—
420D4×D13—42no—
421D4×D13—42no—
422D4×D13—42no—
423D4×D13—42no—
424D4×D13—42no—
425D4×D13—42no—
426D4×D13—42no—
427D4×D13—42no—
428D4×D13—42no—
429D4×D13—42no—
430D4×D13—42no—
431#6127—44no—
432#6127—42no—
433C2×D52—42no—
434C2×D52C22×C411yescharacteristic
435C2×D52C22×C411yescharacteristic
436C2×D52C22×C411yescharacteristic
437C2×D52C22×C412yes—
438C2×D52C22×C412yes—
439C2×D52C22×C412yes—
440C2×D52C22×C412yes—
441C2×D52C22×C412yes—
442C2×D52C22×C412yes—
443C2×C4×D13—22no—
444C2×C4×D13—22no—
445C2×C4×D13—42no—
446C2×C4×D13—42no—
447C2×C4×D13C22×C411yescharacteristic
448C2×C4×D13C22×C411yescharacteristic
449C2×C4×D13C22×C412yes—
450C2×C4×D13C22×C412yes—
451C2×C4×D13C2411yescharacteristic
452C2×C4×D13C2411yescharacteristic
453C2×C4×D13C2411yescharacteristic
454C2×C4×D13C2411yescharacteristic
455C2×C4×D13C2411yescharacteristic
456C2×C4×D13C2412yes—
457C2×C4×D13C2411yescharacteristic
458C2×Dic26C22×C411yescharacteristic
459C2×Dic26C22×C412yes—
460C22⋊#261—24no—
461C22⋊#261—24no—
462C22⋊#261—24no—
463C22⋊#261—22no—
464C22⋊#261—22no—
465C22⋊#261—42no—
466C22⋊#261—42no—
467C22⋊#261—42no—
468C22⋊#261—42no—
469C22⋊#261—42no—
470C22⋊#261—42no—
471C22⋊#261—42no—
472C22⋊#261—42no—
473C22⋊#261—42no—
474C22⋊#261—42no—
475C22⋊#261—42no—
476C22⋊#261—42no—
477C22⋊#261—42no—
478C22⋊#261—42no—
479C22⋊#261—41no—
480C22⋊#261—41no—
481C22⋊#261—42no—
482C22⋊#261—42no—
483C22⋊#261—42no—
484C4⋊#261—22no—
485C4⋊#261—22no—
486C4⋊#261—22no—
487C4⋊#261—22no—
488C4⋊#261—22no—
489C4⋊#261—22no—
490C4⋊#261—41no—
491C4⋊#261—41no—
492C4⋊#261—42no—
493C4⋊#261—42no—
494C4⋊#261—42no—
495C4⋊#261—42no—
496C4×#261—22no—
497C4×#261—22no—
498C4×#261—22no—
499C4×#261—22no—
500C4×#261—22no—
501C4×#261—22no—
502C4×#261—41no—
503C4×#261—41no—
504C4×#261—42no—
505C4×#261—42no—
506C4×#261—42no—
507C4×#261—42no—
508C13×C4⋊C4C22×C411yescharacteristic
509C13×C4⋊C4C22×C411yescharacteristic
510C13×C22⋊C4C22×C411yescharacteristic
511C13×C22⋊C4C22×C411yescharacteristic
512C13×C22⋊C4C22×C412yes—
513C13×C22⋊C4C22×C412yes—
514C13×C22⋊C4C22×C412yes—
515C13×C22⋊C4C22×C412yes—
516C42×C13C22×C411yescharacteristic
517C42×C13C22×C411yescharacteristic
518C22⋊Dic13C22×C411yescharacteristic
519C22⋊Dic13C22×C411yescharacteristic
520C22⋊Dic13C22×C412yes—
521C22⋊Dic13C22×C412yes—
522C22⋊Dic13C22×C412yes—
523C22⋊Dic13C22×C412yes—
524#6103C22×C411yescharacteristic
525#6103C22×C411yescharacteristic
526#6103C22×C411yescharacteristic
527#6103C22×C411yescharacteristic
528#6103C22×C412yes—
529#6103C22×C412yes—
530#6103C22×C412yes—
531#6103C22×C412yes—
532#6103C22×C412yes—
533#6103C22×C412yes—
534#6103C22×C412yes—
535#6103C22×C412yes—
536C4⋊Dic13C22×C411yescharacteristic
537C4⋊Dic13C22×C411yescharacteristic
538#6101C22×C411yescharacteristic
539#6101C22×C411yescharacteristic
540#6101C22×C411yescharacteristic
541#6101C22×C411yescharacteristic
542C4×Dic13C22×C411yescharacteristic
543C4×Dic13C22×C411yescharacteristic
544C4×Dic13C22×C411yescharacteristic
545C4×Dic13C22×C411yescharacteristic
546C4×Dic13C22×C411yescharacteristic
547C4×Dic13C22×C411yescharacteristic
548C2×#535—131no—
549#2377—132no—
550#2375—132no—
551#2367—131no—
552#2367—131no—
553#2366—131no—
554#2366—131no—
555#2364—132no—
556#2358—132no—
557#2341—131no—
558#2339—131no—
559D4×C22⋊C4—131no—
560D4×C22⋊C4—131no—
561#2333—132no—
562#2328—131no—
563#2326—131no—
564#2325—132no—
565#2321—132no—
566#2321—132no—
567#2314—131no—
568C4×#127—131no—
569C4×#124—131no—
570#2298—131no—
571C23×C13—42no—
572C23×C13—42no—
573C23×C13—42no—
574C23×C13C23×C411yescharacteristic
575C23×C13C23×C412yes—
576C23×C13C23×C412yes—
577C23×C13C23×C412yes—
578C22×D13—21no—
579C22×D13—21no—
580C22×D13—22no—
581C22×D13—22no—
582C22×D13—22no—
583C22×D13—22no—
584C22×D13—22no—
585C22×D13—22no—
586C22×D13—22no—
587C22×D13—22no—
588C22×D13—22no—
589C22×D13—22no—
590C22×D13—22no—
591C22×D13—22no—
592C22×D13—21no—
593C22×D13—21no—
594C22×D13—22no—
595C22×D13—22no—
596C22×D13—22no—
597C22×D13—21no—
598C22×D13—21no—
599C22×D13—22no—
600C22×D13—22no—
601C22×D13—22no—
602C22×D13—42no—
603C22×D13—42no—
604C22×D13—42no—
605C22×D13—42no—
606C22×D13—42no—
607C22×D13—42no—
608C22×D13—42no—
609C22×D13—42no—
610C22×D13—42no—
611C22×D13—84no—
612C22×D13—84no—
613C22×D13—84no—
614C22×D13—84no—
615C22×D13C23×C411yescharacteristic
616C22×D13C23×C412yes—
617C22×D13C23×C412yes—
618C22×D13C23×C412yes—
619C22×D13C2511yescharacteristic
620C2×#261—21no—
621C2×#261—21no—
622C2×#261—21no—
623C2×#261—21no—
624C2×#261—21no—
625C2×#261—21no—
626C2×#261—21no—
627C2×#261—21no—
628C2×#261—21no—
629C2×#261—21no—
630C2×#261—21no—
631C2×#261—22no—
632C2×#261—22no—
633C2×#261—22no—
634C2×#261—22no—
635C2×#261—22no—
636C2×#261—22no—
637C2×#261—21no—
638C2×#261—22no—
639C2×#261—21no—
640C2×#261—22no—
641C2×#261—22no—
642C2×#261—22no—
643C2×#261—21no—
644C2×#261—21no—
645C2×#261—21no—
646C2×#261—21no—
647C2×#261—21no—
648C2×#261—21no—
649C2×#261—21no—
650C2×#261—21no—
651C2×#261—22no—
652C2×#261—21no—
653C2×#261—22no—
654C2×#261—84no—
655C2×#261—84no—
656C2×#261—84no—
657C2×#261—84no—
658C2×#261—84no—
659C2×#261—84no—
660C2×#261H(5,𝔽2)12yes—
661C2×#261H(5,𝔽2)12yes—
662Q8×C13—22no—
663D4×C13—22no—
664D4×C13—22no—
665D4×C13—22no—
666D4×C13—42no—
667D4×C13—42no—
668D4×C13—42no—
669D4×C13—42no—
670D4×C13—42no—
671D4×C13—42no—
672C2×C4×C13—22no—
673C2×C4×C13—42no—
674C2×C4×C13C23×C411yescharacteristic
675C2×C4×C13C23×C411yescharacteristic
676C2×C4×C13C23×C411yescharacteristic
677C2×C4×C13C23×C411yescharacteristic
678C2×C4×C13C23×C411yescharacteristic
679C2×C4×C13C23×C412yes—
680C2×C4×C13C23×C411yescharacteristic
681C22⋊D13—24no—
682C22⋊D13—24no—
683C22⋊D13—24no—
684C22⋊D13—42no—
685C22⋊D13—42no—
686C22⋊D13—42no—
687C22⋊D13—42no—
688C22⋊D13—42no—
689C22⋊D13—42no—
690C22⋊D13—42no—
691C22⋊D13—42no—
692C22⋊D13—42no—
693C22⋊D13—42no—
694C22⋊D13—42no—
695C22⋊D13—42no—
696C2×Dic13—22no—
697C2×Dic13—42no—
698C2×Dic13C23×C411yescharacteristic
699C2×Dic13C23×C411yescharacteristic
700C2×Dic13C23×C411yescharacteristic
701C2×Dic13C23×C411yescharacteristic
702C2×Dic13C23×C411yescharacteristic
703C2×Dic13C23×C412yes—
704C2×Dic13C23×C411yescharacteristic
705D52—22no—
706D52—22no—
707D52—22no—
708D52—42no—
709D52—42no—
710D52—42no—
711D52—42no—
712D52—42no—
713D52—42no—
714C4×D13—21no—
715C4×D13—21no—
716C4×D13—21no—
717C4×D13—21no—
718C4×D13—22no—
719C4×D13—22no—
720C4×D13—21no—
721C4×D13—21no—
722C4×D13—21no—
723C4×D13—21no—
724C4×D13—21no—
725C4×D13—21no—
726C4×D13—22no—
727C4×D13—22no—
728C4×D13—42no—
729C4×D13—42no—
730C4×D13H(5,𝔽2)12yes—
731C4×D13H(5,𝔽2)12yes—
732Dic26—22no—
733Dic26—24no—
734C22×#41—131no—
735C23×D4—131no—
736#535—131no—
737#535—131no—
738#535—131no—
739#535—131no—
740#535—131no—
741#535—131no—
742#535—132no—
743#535—132no—
744#535—132no—
745#535—132no—
746#535—131no—
747#535#26111yescharacteristic, complemented
748C2×#127—131no—
749C2×#127—131no—
750C2×#124—131no—
751C2×#124—131no—
752C2×#121—132no—
753C2×#121—132no—
754C2×#120—132no—
755C2×#120—132no—
756C2×C4×Q8—131no—
757C2×C4×Q8—131no—
758C2×C4×D4—132no—
759C2×C4×D4—131no—
760C2×C4×D4—131no—
761C2×C4×D4—132no—
762C2×C4×D4—132no—
763C2×C4×D4—132no—
764C2×C4×D4—131no—
765C2×C4×D4—131no—
766C2×C4×D4—131no—
767C2×C4×D4—131no—
768C2×#117—131no—
769C22×C22⋊C4—132no—
770C22×C22⋊C4—132no—
771#391—131no—
772#391—131no—
773#390—132no—
774#390—131no—
775#390—131no—
776#390—132no—
777#390—132no—
778#390—132no—
779#390—132no—
780#390—131no—
781#390—131no—
782#390—131no—
783#390—132no—
784#390—131no—
785#388—132no—
786#388—132no—
787#388—131no—
788#388—131no—
789#388—132no—
790#388—132no—
791#388—132no—
792#388—132no—
793#388—132no—
794#388—132no—
795#388—132no—
796#388—131no—
797#388—131no—
798#388—132no—
799#387—132no—
800#387—132no—
801#387—131no—
802#387—131no—
803#387—131no—
804#387—131no—
805#386—132no—
806#386—132no—
807#386—132no—
808#386—132no—
809#386—132no—
810#386—132no—
811#386—132no—
812#386—132no—
813#386—132no—
814#386—132no—
815#386—132no—
816#386—132no—
817#386—132no—
818#386—132no—
819#385—132no—
820#385—132no—
821#385—132no—
822#385—132no—
823#384—131no—
824#382—131no—
825#381—132no—
826#380—131no—
827#380—131no—
828#380—132no—
829#379—132no—
830#379—132no—
831C4×C4⋊C4—131no—
832C4×C4⋊C4—131no—
833C4×C4⋊C4—131no—
834C4×C4⋊C4—131no—
835C4×C22⋊C4—132no—
836C4×C22⋊C4—132no—
837C4×C22⋊C4—132no—
838C4×C22⋊C4—132no—
839C4×C22⋊C4—131no—
840C4×C22⋊C4—131no—
841C4×C22⋊C4—132no—
842#376—131no—
843C2×#95—132no—
844C43—131no—
845C22×C13—21no—
846C22×C13—22no—
847C22×C13—22no—
848C22×C13—22no—
849C22×C13—22no—
850C22×C13—22no—
851C22×C13—22no—
852C22×C13—22no—
853C22×C13—22no—
854C22×C13—22no—
855C22×C13—21no—
856C22×C13—21no—
857C22×C13—84no—
858C22×C13C24×C411yescharacteristic
859C2×D13—21no—
860C2×D13—22no—
861C2×D13—22no—
862C2×D13—22no—
863C2×D13—22no—
864C2×D13—22no—
865C2×D13—22no—
866C2×D13—22no—
867C2×D13—22no—
868C2×D13—22no—
869C2×D13—21no—
870C2×D13—21no—
871C2×D13—42no—
872C2×D13—42no—
873C2×D13—42no—
874C2×D13—41no—
875C2×D13—42no—
876C2×D13—42no—
877C2×D13—42no—
878C2×D13—41no—
879C2×D13—42no—
880C2×D13—42no—
881C2×D13—42no—
882C2×D13—41no—
883C2×D13—42no—
884C2×D13—42no—
885C2×D13—42no—
886C2×D13—41no—
887C2×D13—84no—
888C2×D13—84no—
889C2×D13—84no—
890C2×D13C2×H(5,𝔽2)11yescharacteristic
891C2×D13C2×H(5,𝔽2)11yescharacteristic
892C2×D13C2×H(5,𝔽2)11yescharacteristic
893C2×D13C2×H(5,𝔽2)11yescharacteristic
894C2×D13#58511yescharacteristic
895C2×D13#58511yescharacteristic
896#261—22no—
897#261—22no—
898#261—42no—
899#261—41no—
900#261—42no—
901#261—41no—
902#261—42no—
903#261—41no—
904#261—41no—
905#261—42no—
906#261—41no—
907#261—41no—
908C4×C13—22no—
909C4×C13—21no—
910C4×C13—21no—
911C4×C13—21no—
912C4×C13—21no—
913C4×C13—21no—
914C4×C13#51812yes—
915Dic13—22no—
916Dic13—21no—
917Dic13—21no—
918Dic13—21no—
919Dic13—21no—
920Dic13—21no—
921Dic13#51812yes—
922C25—132no—
923C2×#41—131no—
924C2×#41—132no—
925C2×#41—131no—
926C2×#41—132no—
927C2×#41—131no—
928C2×#41—522no—
929C2×#41—522no—
930C2×#41C2×#26111yescharacteristic, complemented
931C22×Q8—131no—
932C22×D4—132no—
933C22×D4—131no—
934C22×D4—131no—
935C22×D4—131no—
936C22×D4—132no—
937C22×D4—132no—
938C22×D4—132no—
939C22×D4—132no—
940C22×D4—132no—
941C22×D4—132no—
942C22×D4—132no—
943C22×D4—131no—
944C22×D4—131no—
945C22×D4—131no—
946C22×D4—522no—
947C22×D4—522no—
948C22×D4C2×#26111yescharacteristic, complemented
949C23×C4—131no—
950C23×C4—132no—
951C23×C4—132no—
952C23×C4—132no—
953C23×C4—132no—
954C23×C4—132no—
955C23×C4—132no—
956C23×C4—132no—
957#127—132no—
958#127—132no—
959#127—132no—
960#127—132no—
961#127—131no—
962#127—131no—
963#127—131no—
964#127—131no—
965#127—131no—
966#127—131no—
967#127C2×#26111yescharacteristic, complemented
968#127C2×#26111yescharacteristic, complemented
969#124—131no—
970#124—131no—
971#124—131no—
972#124—131no—
973#124—132no—
974#124—132no—
975#124—132no—
976#124—132no—
977#124—131no—
978#124—131no—
979#124C2×#26111yescharacteristic, complemented
980#124C2×#26111yescharacteristic, complemented
981#121—132no—
982#121—132no—
983#121—132no—
984#121—132no—
985#121—132no—
986#121—132no—
987#121—132no—
988#121—132no—
989#121—132no—
990#121—132no—
991#121—132no—
992#121—132no—
993#121—132no—
994#121—132no—
995#121C2×#26112yescomplemented
996#121C2×#26112yescomplemented
997#120—132no—
998#120—132no—
999#120—132no—
1000#120—132no—
1001#120—132no—
1002#120—132no—
1003#120—132no—
1004#120—132no—
1005#120—132no—
1006#120—132no—
1007#120—132no—
1008#120—132no—
1009#120—132no—
1010#120—132no—
1011#120C2×#26112yescomplemented
1012#120C2×#26112yescomplemented
1013C4×Q8—522no—
1014C4×Q8—522no—
1015C4×D4—524no—
1016C4×D4—522no—
1017C4×D4—522no—
1018C4×D4—522no—
1019C4×D4—522no—
1020C4×D4—522no—
1021C4×D4—522no—
1022C4×D4—524no—
1023C4×D4—524no—
1024C4×D4—524no—
1025#117—131no—
1026#117—131no—
1027#117—131no—
1028#117—131no—
1029#117—131no—
1030#117—131no—
1031#117—131no—
1032#117C2×#26111yescharacteristic, complemented
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—132no—
1042C2×C4⋊C4—132no—
1043C2×C4⋊C4—132no—
1044C2×C4⋊C4—132no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C22⋊C4—131no—
1048C2×C22⋊C4—131no—
1049C2×C22⋊C4—132no—
1050C2×C22⋊C4—132no—
1051C2×C22⋊C4—132no—
1052C2×C22⋊C4—132no—
1053C2×C22⋊C4—131no—
1054C2×C22⋊C4—131no—
1055C2×C22⋊C4—132no—
1056C2×C22⋊C4—132no—
1057C2×C22⋊C4—132no—
1058C2×C22⋊C4—132no—
1059C2×C22⋊C4—132no—
1060C2×C22⋊C4—132no—
1061C2×C22⋊C4—132no—
1062C2×C22⋊C4—132no—
1063C2×C22⋊C4—132no—
1064C2×C22⋊C4—132no—
1065C2×C22⋊C4—132no—
1066C2×C22⋊C4—132no—
1067C2×C22⋊C4—132no—
1068C2×C22⋊C4—132no—
1069C2×C22⋊C4—132no—
1070C2×C22⋊C4—132no—
1071C2×C22⋊C4—132no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—132no—
1075C2×C22⋊C4—132no—
1076C2×C22⋊C4—132no—
1077C2×C22⋊C4—524no—
1078C2×C22⋊C4—524no—
1079C2×C42—131no—
1080C2×C42—131no—
1081C2×C42—131no—
1082C2×C42—131no—
1083C2×C42—131no—
1084C2×C42—131no—
1085C2×C42—131no—
1086C2×C42—131no—
1087C2×C42—132no—
1088C2×C42—132no—
1089C2×C42—132no—
1090C2×C42—132no—
1091C2×C42—131no—
1092C2×C42—131no—
1093#95—131no—
1094#95—132no—
1095#95—132no—
1096#95—132no—
1097#95—131no—
1098#95—131no—
1099#95—131no—
1100#95—131no—
1101#95—131no—
1102#95—131no—
1103#95—131no—
1104#95—132no—
1105#95—131no—
1106#95—131no—
1107#95—132no—
1108#95—132no—
1109#95—132no—
1110#95—132no—
1111#95—132no—
1112#95—132no—
1113#95—131no—
1114#95—131no—
1115C2×C13—41no—
1116C2×C13—42no—
1117C2×C13—42no—
1118C2×C13—42no—
1119C2×C13C2×#51811yescharacteristic
1120C2×C13C4×H(5,𝔽2)11yescharacteristic
1121C2×C13C4×H(5,𝔽2)11yescharacteristic
1122D13—42no—
1123D13—42no—
1124D13—42no—
1125D13—41no—
1126D13#354311yescharacteristic
1127D13#354611yescharacteristic
1128D13#355811yescharacteristic
1129D13#356211yescharacteristic
1130C24—131no—
1131C24—132no—
1132C24—132no—
1133C24—132no—
1134C24—132no—
1135C24—132no—
1136C24—132no—
1137C24—522no—
1138C24—522no—
1139C24—522no—
1140C24—522no—
1141C24—522no—
1142C24—522no—
1143C24C22×#26112yes—
1144#41—42no—
1145#41—522no—
1146#41—524no—
1147#41—522no—
1148#41—524no—
1149#41—522no—
1150C2×Q8—132no—
1151C2×Q8—131no—
1152C2×Q8—262no—
1153C2×Q8—262no—
1154C2×Q8C22×#26111yescharacteristic
1155C2×D4—42no—
1156C2×D4—132no—
1157C2×D4—132no—
1158C2×D4—132no—
1159C2×D4—132no—
1160C2×D4—132no—
1161C2×D4—132no—
1162C2×D4—132no—
1163C2×D4—132no—
1164C2×D4—132no—
1165C2×D4—132no—
1166C2×D4—132no—
1167C2×D4—132no—
1168C2×D4—132no—
1169C2×D4—132no—
1170C2×D4—132no—
1171C2×D4—131no—
1172C2×D4—131no—
1173C2×D4—131no—
1174C2×D4—132no—
1175C2×D4—132no—
1176C2×D4—132no—
1177C2×D4—132no—
1178C2×D4—132no—
1179C2×D4—132no—
1180C2×D4—262no—
1181C2×D4—262no—
1182C2×D4—262no—
1183C2×D4—262no—
1184C2×D4—262no—
1185C2×D4—262no—
1186C2×D4—522no—
1187C2×D4—522no—
1188C2×D4—522no—
1189C2×D4—524no—
1190C2×D4—522no—
1191C2×D4—522no—
1192C2×D4—522no—
1193C2×D4—522no—
1194C2×D4—522no—
1195C2×D4—522no—
1196C2×D4—522no—
1197C2×D4—522no—
1198C2×D4—522no—
1199C2×D4—522no—
1200C2×D4—522no—
1201C2×D4—522no—
1202C2×D4—524no—
1203C2×D4C22×#26111yescharacteristic
1204C2×D4C22×#26111yescharacteristic
1205C2×D4C22×#26111yescharacteristic
1206C2×D4C22×#26112yes—
1207C2×D4C22×#26112yes—
1208C2×D4C22×#26112yes—
1209C2×D4C22×#26112yes—
1210C2×D4C22×#26112yes—
1211C2×D4C22×#26112yes—
1212C22×C4—131no—
1213C22×C4—131no—
1214C22×C4—131no—
1215C22×C4—131no—
1216C22×C4—132no—
1217C22×C4—131no—
1218C22×C4—131no—
1219C22×C4—131no—
1220C22×C4—131no—
1221C22×C4—131no—
1222C22×C4—132no—
1223C22×C4—131no—
1224C22×C4—131no—
1225C22×C4—132no—
1226C22×C4—132no—
1227C22×C4—131no—
1228C22×C4—131no—
1229C22×C4—132no—
1230C22×C4—131no—
1231C22×C4—131no—
1232C22×C4—132no—
1233C22×C4—131no—
1234C22×C4—132no—
1235C22×C4—131no—
1236C22×C4—132no—
1237C22×C4—262no—
1238C22×C4—262no—
1239C22×C4—264no—
1240C22×C4—264no—
1241C22×C4—264no—
1242C22×C4—522no—
1243C22×C4—522no—
1244C22×C4—522no—
1245C22×C4—522no—
1246C22×C4—522no—
1247C22×C4—522no—
1248C22×C4—522no—
1249C22×C4—522no—
1250C22×C4—522no—
1251C22×C4—522no—
1252C22×C4—522no—
1253C22×C4—522no—
1254C22×C4—522no—
1255C22×C4—522no—
1256C22×C4—522no—
1257C22×C4—522no—
1258C22×C4—522no—
1259C22×C4C22×#26111yescharacteristic
1260C22×C4C22×#26112yes—
1261C4⋊C4—131no—
1262C4⋊C4—131no—
1263C4⋊C4—131no—
1264C4⋊C4—131no—
1265C4⋊C4—131no—
1266C4⋊C4—131no—
1267C4⋊C4—262no—
1268C4⋊C4—262no—
1269C4⋊C4—262no—
1270C4⋊C4—262no—
1271C4⋊C4—262no—
1272C4⋊C4—262no—
1273C4⋊C4—522no—
1274C4⋊C4—522no—
1275C4⋊C4—522no—
1276C4⋊C4—522no—
1277C4⋊C4—521no—
1278C4⋊C4—521no—
1279C4⋊C4C22×#26111yescharacteristic
1280C4⋊C4C22×#26111yescharacteristic
1281C22⋊C4—131no—
1282C22⋊C4—131no—
1283C22⋊C4—132no—
1284C22⋊C4—132no—
1285C22⋊C4—132no—
1286C22⋊C4—132no—
1287C22⋊C4—131no—
1288C22⋊C4—131no—
1289C22⋊C4—131no—
1290C22⋊C4—131no—
1291C22⋊C4—132no—
1292C22⋊C4—132no—
1293C22⋊C4—132no—
1294C22⋊C4—132no—
1295C22⋊C4—132no—
1296C22⋊C4—132no—
1297C22⋊C4—132no—
1298C22⋊C4—132no—
1299C22⋊C4—262no—
1300C22⋊C4—262no—
1301C22⋊C4—264no—
1302C22⋊C4—264no—
1303C22⋊C4—264no—
1304C22⋊C4—522no—
1305C22⋊C4—522no—
1306C22⋊C4—522no—
1307C22⋊C4—522no—
1308C22⋊C4—522no—
1309C22⋊C4—522no—
1310C22⋊C4—522no—
1311C22⋊C4—522no—
1312C22⋊C4—522no—
1313C22⋊C4—522no—
1314C22⋊C4—522no—
1315C22⋊C4—522no—
1316C22⋊C4—522no—
1317C22⋊C4—522no—
1318C22⋊C4—522no—
1319C22⋊C4—521no—
1320C22⋊C4—521no—
1321C22⋊C4—522no—
1322C22⋊C4—522no—
1323C22⋊C4C22×#26111yescharacteristic
1324C22⋊C4C22×#26111yescharacteristic
1325C22⋊C4C22×#26112yes—
1326C22⋊C4C22×#26112yes—
1327C22⋊C4C22×#26112yes—
1328C22⋊C4C22×#26112yes—
1329C42—131no—
1330C42—131no—
1331C42—131no—
1332C42—131no—
1333C42—131no—
1334C42—131no—
1335C42—262no—
1336C42—262no—
1337C42—262no—
1338C42—262no—
1339C42—262no—
1340C42—262no—
1341C42—522no—
1342C42—522no—
1343C42—522no—
1344C42—522no—
1345C42—521no—
1346C42—521no—
1347C42C22×#26111yescharacteristic
1348C42C22×#26111yescharacteristic
1349C13#3443811yescharacteristic, complemented, Sylow
1350C23—42no—
1351C23—42no—
1352C23—42no—
1353C23—131no—
1354C23—131no—
1355C23—132no—
1356C23—132no—
1357C23—132no—
1358C23—261no—
1359C23—261no—
1360C23—262no—
1361C23—262no—
1362C23—262no—
1363C23—262no—
1364C23—262no—
1365C23—262no—
1366C23—262no—
1367C23—262no—
1368C23—262no—
1369C23—262no—
1370C23—262no—
1371C23—262no—
1372C23—262no—
1373C23—262no—
1374C23—262no—
1375C23—261no—
1376C23—261no—
1377C23—261no—
1378C23—261no—
1379C23—262no—
1380C23—262no—
1381C23—262no—
1382C23—522no—
1383C23—522no—
1384C23—522no—
1385C23—522no—
1386C23—522no—
1387C23—522no—
1388C23—522no—
1389C23—522no—
1390C23—522no—
1391C23—1044no—
1392C23—1044no—
1393C23—1044no—
1394C23—1044no—
1395C23C23×#26111yescharacteristic
1396C23C23×#26112yes—
1397C23C23×#26112yes—
1398C23C23×#26112yes—
1399Q8—22no—
1400Q8—264no—
1401Q8—262no—
1402D4—22no—
1403D4—22no—
1404D4—22no—
1405D4—42no—
1406D4—42no—
1407D4—42no—
1408D4—42no—
1409D4—42no—
1410D4—42no—
1411D4—264no—
1412D4—264no—
1413D4—264no—
1414D4—262no—
1415D4—262no—
1416D4—262no—
1417D4—522no—
1418D4—522no—
1419D4—522no—
1420D4—522no—
1421D4—522no—
1422D4—522no—
1423D4—522no—
1424D4—522no—
1425D4—522no—
1426D4—522no—
1427D4—522no—
1428D4—522no—
1429D4—522no—
1430D4—522no—
1431D4—522no—
1432D4—522no—
1433D4—522no—
1434D4—522no—
1435C2×C4—22no—
1436C2×C4—42no—
1437C2×C4—131no—
1438C2×C4—132no—
1439C2×C4—132no—
1440C2×C4—132no—
1441C2×C4—132no—
1442C2×C4—131no—
1443C2×C4—131no—
1444C2×C4—131no—
1445C2×C4—131no—
1446C2×C4—132no—
1447C2×C4—131no—
1448C2×C4—262no—
1449C2×C4—261no—
1450C2×C4—261no—
1451C2×C4—261no—
1452C2×C4—261no—
1453C2×C4—262no—
1454C2×C4—262no—
1455C2×C4—261no—
1456C2×C4—261no—
1457C2×C4—261no—
1458C2×C4—261no—
1459C2×C4—261no—
1460C2×C4—261no—
1461C2×C4—262no—
1462C2×C4—261no—
1463C2×C4—261no—
1464C2×C4—261no—
1465C2×C4—261no—
1466C2×C4—262no—
1467C2×C4—261no—
1468C2×C4—261no—
1469C2×C4—261no—
1470C2×C4—261no—
1471C2×C4—261no—
1472C2×C4—261no—
1473C2×C4—261no—
1474C2×C4—262no—
1475C2×C4—262no—
1476C2×C4—262no—
1477C2×C4—261no—
1478C2×C4—262no—
1479C2×C4—262no—
1480C2×C4—262no—
1481C2×C4—261no—
1482C2×C4—261no—
1483C2×C4—261no—
1484C2×C4—261no—
1485C2×C4—262no—
1486C2×C4—262no—
1487C2×C4—261no—
1488C2×C4—262no—
1489C2×C4—262no—
1490C2×C4—261no—
1491C2×C4—261no—
1492C2×C4—261no—
1493C2×C4—262no—
1494C2×C4—261no—
1495C2×C4—262no—
1496C2×C4—261no—
1497C2×C4—522no—
1498C2×C4—522no—
1499C2×C4—522no—
1500C2×C4—1044no—
1501C2×C4—1044no—
1502C2×C4—1044no—
1503C2×C4—1044no—
1504C2×C4—1044no—
1505C2×C4—1044no—
1506C2×C4C23×#26111yescharacteristic
1507C2×C4C23×#26111yescharacteristic
1508C2×C4C23×#26111yescharacteristic
1509C2×C4C23×#26111yescharacteristic
1510C2×C4C23×#26112yes—
1511C2×C4C23×#26111yescharacteristic
1512C2×C4C23×#26111yescharacteristic
1513C22—21no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—21no—
1524C22—21no—
1525C22—84no—
1526C22—131no—
1527C22—131no—
1528C22—131no—
1529C22—131no—
1530C22—131no—
1531C22—131no—
1532C22—261no—
1533C22—262no—
1534C22—262no—
1535C22—262no—
1536C22—262no—
1537C22—262no—
1538C22—262no—
1539C22—262no—
1540C22—262no—
1541C22—262no—
1542C22—261no—
1543C22—261no—
1544C22—522no—
1545C22—522no—
1546C22—522no—
1547C22—522no—
1548C22—522no—
1549C22—522no—
1550C22—522no—
1551C22—522no—
1552C22—522no—
1553C22—522no—
1554C22—522no—
1555C22—522no—
1556C22—521no—
1557C22—521no—
1558C22—521no—
1559C22—521no—
1560C22—1044no—
1561C22—1044no—
1562C22—1044no—
1563C22C24×#26111yescharacteristic
1564C4—21no—
1565C4—22no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—132no—
1571C4—262no—
1572C4—262no—
1573C4—261no—
1574C4—262no—
1575C4—261no—
1576C4—261no—
1577C4—261no—
1578C4—261no—
1579C4—521no—
1580C4—521no—
1581C4—521no—
1582C4—522no—
1583C4—522no—
1584C4—521no—
1585C4—522no—
1586C4—521no—
1587C4—522no—
1588C4—521no—
1589C4#1171962312yes—
1590C2—41no—
1591C2—42no—
1592C2—42no—
1593C2—42no—
1594C2—131no—
1595C2—131no—
1596C2—131no—
1597C2—131no—
1598C2—521no—
1599C2—522no—
1600C2—522no—
1601C2—522no—
1602C2C2×#1171962311yescharacteristic
1603C2H(5,𝔽2)×#26111yescharacteristic
1604C2H(5,𝔽2)×#26111yescharacteristic
subgroupG/H
center, FrattiniC22C24×#261
commutator, socleC22×C13C24×C4
FittingC13×#535C4
prime radicalD13×#535C2
cosocleC22×D13C25
hypercenter#535#261
hypocenterC13#34438
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ #535

Complements

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

NH ≅ G/Ntype
1. #13131377C2semidirect
2. #13131375C2semidirect
3. #13131367C2semidirect
4. #13131367C2semidirect
5. #13131366C2semidirect
6. #13131366C2semidirect
7. #13131364C2semidirect
8. #13131358C2semidirect
9. #13131341C2semidirect
10. #13131339C2semidirect
11. D4×C22⋊#261C2semidirect
12. D4×C22⋊#261C2semidirect
13. #13131333C2semidirect
14. #13131328C2semidirect
15. #13131326C2semidirect
16. #13131325C2semidirect
17. #13131321C2semidirect
18. #13131321C2semidirect
19. #13131314C2semidirect
20. #127×#261C2semidirect
21. #124×#261C2semidirect
22. #13131298C2semidirect
28. C2×Q8×#261C22semidirect
29. C2×Q8×#261C22semidirect
34. C2×D4×#261C22semidirect
35. C2×D4×#261C22semidirect
36. C2×D4×#261C22semidirect
37. C2×D4×#261C22semidirect
38. C2×D4×#261C22semidirect
39. C2×D4×#261C22semidirect
40. C13×#535C4semidirect
41. #11719535C4semidirect
42. #11719510C4semidirect
43. #11719420C4semidirect
44. #11719420C4semidirect
47. #11719379C4semidirect
48. #11719379C4semidirect
51. #11719312C4semidirect
52. #11719312C4semidirect
55. #11719297C4semidirect
56. #11719297C4semidirect
59. #11719230C4semidirect
63. (C2×#261)⋊Q8C22semidirect
64. (C2×#261)⋊Q8C22semidirect
71. #11719151C22semidirect
72. #11719151C22semidirect
73. #11719151C22semidirect
74. #11719151C22semidirect
75. #11719151C22semidirect
76. #11719151C22semidirect
83. #11719150C22semidirect
84. #11719150C22semidirect
85. #11719150C22semidirect
86. #11719150C22semidirect
87. #11719150C22semidirect
88. #11719150C22semidirect
89. #11719150C22semidirect
90. #11719150C22semidirect
93. #11719136C22semidirect
94. #11719135C22semidirect
97. C4×C22⋊#261C22semidirect
98. C2×(C2×#261)⋊C4C22semidirect
99. #11719082C22semidirect
100. #11719082C22semidirect
101. #11719082C22semidirect
102. #11719082C22semidirect
103. #11719082C22semidirect
104. #11719082C22semidirect
111. #11719071C22semidirect
112. #11719071C22semidirect
113. #11719071C22semidirect
114. #11719071C22semidirect
115. #11719071C22semidirect
116. #11719071C22semidirect
117. #11719071C22semidirect
118. #11719071C22semidirect
119. #11719070C22semidirect
120. #11719070C22semidirect
121. #11719070C22semidirect
122. #11719070C22semidirect
123. C22⋊C4×#261C22semidirect
124. C22⋊C4×#261C22semidirect
125. C22⋊C4×#261C22semidirect
126. C22⋊C4×#261C22semidirect
127. #11719060C22semidirect
128. #11719059C22semidirect
129. C4×C4⋊#261C22semidirect
130. C4×C4⋊#261C22semidirect
131. C4×C4⋊#261C22semidirect
132. C4×C4⋊#261C22semidirect
133. #11719057C22semidirect
134. C42×#261C22semidirect
142. C2×C13×#41C2×C4semidirect
143. C22×D4×C13C2×C4semidirect
144. C22×C22⋊D13C2×C4semidirect
147. C2×#6131C2×C4semidirect
149. C2×#6129C2×C4semidirect
150. C2×#6129C2×C4semidirect
153. C2×D4×D13C2×C4semidirect
154. C2×D4×D13C2×C4semidirect
155. C2×D4×D13C2×C4semidirect
165. C2×#6127C2×C4semidirect
166. C2×#6127C2×C4semidirect
167. C22×D52C2×C4semidirect
232. C13×#127C2×C4semidirect
233. C13×#127C2×C4semidirect
234. C13×#124C2×C4semidirect
235. C13×#124C2×C4semidirect
236. C13×#121C2×C4semidirect
237. C13×#121C2×C4semidirect
238. C13×#120C2×C4semidirect
239. C13×#120C2×C4semidirect
240. C13×#117C2×C4semidirect
241. #88207C2×C4semidirect
242. #88207C2×C4semidirect
243. #88201C2×C4semidirect
244. #88201C2×C4semidirect
245. #88194C2×C4semidirect
246. #88194C2×C4semidirect
247. #88194C2×C4semidirect
248. #88194C2×C4semidirect
249. #88194C2×C4semidirect
250. #88194C2×C4semidirect
251. #88194C2×C4semidirect
252. #88194C2×C4semidirect
253. #88193C2×C4semidirect
254. #88193C2×C4semidirect
255. #88193C2×C4semidirect
256. #88193C2×C4semidirect
257. #88192C2×C4semidirect
258. #88192C2×C4semidirect
259. #88191C2×C4semidirect
260. #88191C2×C4semidirect
261. #88191C2×C4semidirect
262. #88191C2×C4semidirect
263. #88191C2×C4semidirect
264. #88191C2×C4semidirect
265. #88190C2×C4semidirect
266. #88190C2×C4semidirect
267. #88184C2×C4semidirect
268. #88184C2×C4semidirect
269. #88180C2×C4semidirect
270. #88149C2×C4semidirect
271. #88149C2×C4semidirect
272. #88146C2×C4semidirect
273. #88146C2×C4semidirect
276. #88139C2×C4semidirect
277. #88139C2×C4semidirect
278. #88139C2×C4semidirect
279. #88139C2×C4semidirect
280. #88138C2×C4semidirect
281. #88138C2×C4semidirect
282. #88138C2×C4semidirect
283. #88138C2×C4semidirect
284. #88136C2×C4semidirect
285. #88136C2×C4semidirect
286. #88136C2×C4semidirect
287. #88136C2×C4semidirect
288. #88136C2×C4semidirect
289. #88136C2×C4semidirect
296. #88131C2×C4semidirect
297. #88131C2×C4semidirect
298. #88129C2×C4semidirect
299. #88129C2×C4semidirect
300. #88128C2×C4semidirect
301. #88128C2×C4semidirect
302. #88126C2×C4semidirect
303. #88126C2×C4semidirect
747. #535#261semidirect
930. C2×#41C2×#261semidirect
948. C22×D4C2×#261semidirect
967. #127C2×#261semidirect
968. #127C2×#261semidirect
979. #124C2×#261semidirect
980. #124C2×#261semidirect
995. #121C2×#261semidirect
996. #121C2×#261semidirect
1011. #120C2×#261semidirect
1012. #120C2×#261semidirect
1032. #117C2×#261semidirect
1349. C13#34438semidirect

Maximal subgroups

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

subgroupindex
#131313772
#131313752
#131313672
#131313662
#131313642
#131313582
#131313412
#131313392
D4×C22⋊#2612
#131313332
#131313282
#131313262
#131313252
#131313212
#131313142
#127×#2612
#124×#2612
#131312982
D13×#5352
#3443813