Finite Group Databasebeta

← #16807869

Subgroups — #16807869

Order 3328.

2890 conjugacy classes of subgroups.

The subgroup lattice has 1552 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13131377C212yesmaximal, complemented
2#13131376C211yesmaximal, characteristic, complemented
3#13131375C211yesmaximal, characteristic, complemented
4#13131374C211yesmaximal, characteristic, complemented
5#13131363C212yesmaximal, complemented
6#13131359C212yesmaximal, complemented
7#13131359C212yesmaximal, complemented
8#13131358C211yesmaximal, characteristic, complemented
9#13131342C212yesmaximal, complemented
10D4×C22⋊#261C212yesmaximal, complemented
11#13131335C212yesmaximal, complemented
12#13131333C212yesmaximal, complemented
13#13131324C212yesmaximal, complemented
14#13131321C212yesmaximal, complemented
15#13131321C212yesmaximal, complemented
16#13131309C211yesmaximal, characteristic, complemented
17#120×#261C212yesmaximal, complemented
18C2×#11719150C211yesmaximal, characteristic, complemented
19D13×#534C211yesmaximal, characteristic
20C24×#261C2211yescharacteristic, complemented
21C22×D4×D13C2211yescharacteristic
22C22×D4×D13C2211yescharacteristic
23C22×C22⋊#261C2212yes—
24C22×C22⋊#261C2211yescharacteristic, complemented
25C22×C22⋊#261C2212yescomplemented
26C2×D4×#261C2212yes—
27C2×D4×#261C2212yes—
28C2×D4×#261C2212yescomplemented
29C2×D4×#261C2212yescomplemented
30C2×#88237C2211yescharacteristic, complemented
31C2×#88237C2211yescharacteristic, complemented
32C2×#88237C2212yescomplemented
33C13×#534C411yescharacteristic, complemented
34#11719509C411yescharacteristic, complemented
35#11719509C411yescharacteristic, complemented
36#11719358C411yescharacteristic, complemented
37#11719358C411yescharacteristic, complemented
38#11719358C412yescomplemented
39D13×#123C2211yescharacteristic
40D13×#123C2212yes—
41D13×#123C2211yescharacteristic
42#11719310C412yescomplemented
43#11719310C412yescomplemented
44D13×#121C2212yes—
45D13×#121C2212yes—
46#11719294C411yescharacteristic, complemented
47#11719294C411yescharacteristic, complemented
48#11719294C412yescomplemented
49D13×#120C2212yes—
50D13×#120C2211yescharacteristic
51D13×#120C2211yescharacteristic
52#11719198C411yescharacteristic, complemented
53C2×C22⋊C4×D13C2211yescharacteristic
54#11719171C2212yes—
55#11719171C2212yescomplemented
56#11719171C2212yescomplemented
57#11719151C2212yes—
58#11719151C2211yescharacteristic
59#11719151C2211yescharacteristic
60#11719151C2211yescharacteristic, complemented
61#11719151C2211yescharacteristic, complemented
62#11719151C2212yescomplemented
63#11719151C2212yescomplemented
64#11719151C2212yescomplemented
65#11719151C2212yescomplemented
66#11719151C2212yescomplemented
67#11719150C2212yes—
68#11719150C2211yescharacteristic
69#11719150C2211yescharacteristic
70#11719150C2212yes—
71#11719150C2212yes—
72#11719150C2212yescomplemented
73#11719150C2211yescharacteristic, complemented
74#11719150C2211yescharacteristic, complemented
75#11719150C2212yescomplemented
76#11719150C2212yescomplemented
77#11719150C2212yescomplemented
78#11719150C2212yescomplemented
79#11719150C2212yescomplemented
80#11719150C2212yescomplemented
81#11719136C2212yescomplemented
82#11719136C2212yescomplemented
83#11719135C2212yescomplemented
84C4×C22⋊#261C2212yescomplemented
85C4×C22⋊#261C2212yescomplemented
86C2×(C2×#261)⋊C4C2212yescomplemented
87#11719083C2212yescomplemented
88#11719083C2212yescomplemented
89#11719082C2212yescomplemented
90#11719082C2212yescomplemented
91#11719082C2212yescomplemented
92#11719082C2212yescomplemented
93C4⋊C4×#261C2212yescomplemented
94C4⋊C4×#261C2212yescomplemented
95#11719071C2212yescomplemented
96#11719071C2212yescomplemented
97#11719071C2212yescomplemented
98#11719071C2212yescomplemented
99#11719071C2212yescomplemented
100#11719071C2212yescomplemented
101#11719071C2212yescomplemented
102#11719071C2212yescomplemented
103#11719071C2212yescomplemented
104#11719071C2212yescomplemented
105#11719071C2212yescomplemented
106#11719071C2212yescomplemented
107#11719070C2212yescomplemented
108#11719070C2212yescomplemented
109#11719070C2212yescomplemented
110#11719070C2212yescomplemented
111#11719070C2212yescomplemented
112#11719070C2212yescomplemented
113C22⋊C4×#261C2212yescomplemented
114C22⋊C4×#261C2212yescomplemented
115C22⋊C4×#261C2212yescomplemented
116C22⋊C4×#261C2212yescomplemented
117C22⋊C4×#261C2212yescomplemented
118C22⋊C4×#261C2212yescomplemented
119C24×D13C2311yescharacteristic
120C24×D13C2311yescharacteristic
121C24×D13C2311yescharacteristic
122C23×#261—44no—
123C23×#261—42no—
124C23×#261C2311yescharacteristic
125C23×#261C2312yes—
126C23×#261C2312yes—
127C23×#261C2312yes—
128C23×#261C2312yes—
129C23×#261C2312yes—
130C23×#261C2311yescharacteristic
131C22×D4×C13C2×C411yescharacteristic, complemented
132C22×D4×C13C2×C411yescharacteristic, complemented
133C22×C22⋊D13C2×C411yescharacteristic, complemented
134C22×C22⋊D13C2×C411yescharacteristic, complemented
135C22×C22⋊D13C2×C411yescharacteristic, complemented
136C22×C22⋊D13C2×C411yescharacteristic, complemented
137C2×D4×D13—42no—
138C2×D4×D13—42no—
139C2×D4×D13—42no—
140C2×D4×D13—42no—
141C2×D4×D13C2×C411yescharacteristic, complemented
142C2×D4×D13C2×C411yescharacteristic, complemented
143C2×D4×D13C2×C411yescharacteristic, complemented
144C2×D4×D13C2×C411yescharacteristic, complemented
145C2×D4×D13C2×C412yescomplemented
146C2×D4×D13C2×C412yescomplemented
147C2×D4×D13C2312yes—
148C2×D4×D13C2312yes—
149C2×D4×D13C2312yes—
150C2×D4×D13C2311yescharacteristic
151C2×D4×D13C2311yescharacteristic
152C2×D4×D13C2311yescharacteristic
153C2×D4×D13C2311yescharacteristic
154C2×D4×D13C2312yes—
155C22×D52C2×C411yescharacteristic, complemented
156C22×D52C2×C411yescharacteristic, complemented
157C22×C4×D13C2311yescharacteristic
158C22×C4×D13C2312yes—
159C22×C4×D13C2311yescharacteristic
160C2×C22⋊#261—44no—
161C2×C22⋊#261—44no—
162C2×C22⋊#261—42no—
163C2×C22⋊#261C2312yes—
164C2×C22⋊#261C2312yes—
165C2×C22⋊#261C2312yes—
166C2×C22⋊#261C2312yes—
167C2×C22⋊#261C2312yes—
168C2×C22⋊#261C2312yes—
169C2×C22⋊#261C2312yes—
170C2×C22⋊#261C2312yes—
171C2×C22⋊#261C2312yes—
172C2×C22⋊#261C2312yes—
173C2×C22⋊#261C2312yes—
174C2×C22⋊#261C2312yes—
175C2×C22⋊#261C2312yes—
176C2×C22⋊#261C2312yes—
177C2×C22⋊#261C2312yes—
178C2×C22⋊#261C2312yes—
179C2×C22⋊#261C2312yes—
180C2×C22⋊#261C2312yes—
181C2×C22⋊#261C2312yes—
182C2×C22⋊#261C2311yescharacteristic
183C2×C22⋊#261C2312yes—
184C2×C22⋊#261C2311yescharacteristic
185C2×C22⋊#261C2312yes—
186D4×#261—44no—
187D4×#261—44no—
188D4×#261—44no—
189D4×#261—44no—
190#88237—44no—
191#88237—42no—
192#88237—42no—
193C2×C4⋊#261C2312yes—
194C2×C4⋊#261C2312yes—
195C2×C4⋊#261C2312yes—
196C2×C4⋊#261C2312yes—
197C2×C4⋊#261C2311yescharacteristic
198C2×C4⋊#261C2312yes—
199C2×C4⋊#261C2312yes—
200C2×C4⋊#261C2311yescharacteristic
201C2×C4⋊#261C2312yes—
202C2×C4×#261C2312yes—
203C2×C4×#261C2312yes—
204C2×C4×#261C2312yes—
205C2×C4×#261C2312yes—
206C2×C4×#261C2311yescharacteristic
207C2×C4×#261C2312yes—
208C2×C4×#261C2312yes—
209C2×C4×#261C2311yescharacteristic
210C2×C4×#261C2312yes—
211C13×#123C2×C411yescharacteristic, complemented
212C13×#123C2×C411yescharacteristic, complemented
213C13×#123C2×C412yescomplemented
214C13×#121C2×C412yescomplemented
215C13×#121C2×C412yescomplemented
216C13×#120C2×C412yescomplemented
217C13×#120C2×C411yescharacteristic, complemented
218C13×#120C2×C411yescharacteristic, complemented
219C2×C13×C22⋊C4C2×C411yescharacteristic, complemented
220#88207C2×C412yescomplemented
221#88207C2×C411yescharacteristic, complemented
222#88207C2×C411yescharacteristic, complemented
223C2×C22⋊Dic13C2×C411yescharacteristic, complemented
224#88193C2×C412yescomplemented
225#88193C2×C412yescomplemented
226#88193C2×C412yescomplemented
227#88193C2×C412yescomplemented
228#88192C2×C412yescomplemented
229#88192C2×C412yescomplemented
230#88191C2×C412yescomplemented
231#88191C2×C412yescomplemented
232#88191C2×C412yescomplemented
233#88191C2×C411yescharacteristic, complemented
234#88191C2×C411yescharacteristic, complemented
235#88191C2×C412yescomplemented
236#88191C2×C412yescomplemented
237#88189C2×C411yescharacteristic, complemented
238#88189C2×C411yescharacteristic, complemented
239#88189C2×C412yescomplemented
240#88184C2×C412yescomplemented
241#88184C2×C412yescomplemented
242#88183C2×C411yescharacteristic, complemented
243#88183C2×C411yescharacteristic, complemented
244#88183C2×C412yescomplemented
245C2×#6103C2×C412yescomplemented
246#88149C2×C412yescomplemented
247#88149C2×C412yescomplemented
248#88148C2×C412yescomplemented
249#88148C2×C412yescomplemented
250#88148C2×C412yescomplemented
251#88148C2×C412yescomplemented
252C4⋊C4×D13C2312yes—
253C4⋊C4×D13C2312yes—
254#88140C2×C411yescharacteristic, complemented
255#88140C2×C411yescharacteristic, complemented
256#88140C2×C412yescomplemented
257#88138C2×C412yescomplemented
258#88138C2×C412yescomplemented
259#88138C2×C412yescomplemented
260#88138C2×C412yescomplemented
261#88137C2×C412yescomplemented
262#88137C2×C412yescomplemented
263#88137C2×C412yescomplemented
264#88137C2×C412yescomplemented
265#88136C2×C412yescomplemented
266#88136C2×C412yescomplemented
267#88136C2×C412yescomplemented
268#88136C2×C411yescharacteristic, complemented
269#88136C2×C411yescharacteristic, complemented
270#88136C2×C412yescomplemented
271#88136C2×C412yescomplemented
272C22⋊C4×D13C2×C411yescharacteristic, complemented
273C22⋊C4×D13C2×C411yescharacteristic, complemented
274C22⋊C4×D13C2×C412yescomplemented
275C22⋊C4×D13C2312yes—
276C22⋊C4×D13C2312yes—
277C22⋊C4×D13C2312yes—
278C22⋊C4×D13C2311yescharacteristic
279C22⋊C4×D13C2311yescharacteristic
280C22⋊C4×D13C2312yes—
281C22⋊C4×D13C2312yes—
282(C2×#261)⋊C4C2312yes—
283(C2×#261)⋊C4C2312yes—
284(C2×#261)⋊C4C2312yes—
285(C2×#261)⋊C4C2312yes—
286(C2×#261)⋊C4C2312yes—
287(C2×#261)⋊C4C2312yes—
288(C2×#261)⋊C4C2312yes—
289(C2×#261)⋊C4C2312yes—
290(C2×#261)⋊C4C2312yes—
291(C2×#261)⋊C4C2312yes—
292(C2×#261)⋊C4C2312yes—
293(C2×#261)⋊C4C2312yes—
294(C2×#261)⋊C4C2312yes—
295(C2×#261)⋊C4C2312yes—
296(C2×#261)⋊C4C2312yes—
297(C2×#261)⋊C4C2312yes—
298#34407—131nomaximal, Sylow
299C24×C13C22×C411yescharacteristic
300C24×C13C22×C411yescharacteristic
301C24×C13C22×C411yescharacteristic, complemented
302C23×D13—22no—
303C23×D13—22no—
304C23×D13—22no—
305C23×D13—22no—
306C23×D13—42no—
307C23×D13—42no—
308C23×D13—42no—
309C23×D13—42no—
310C23×D13—41no—
311C23×D13—41no—
312C23×D13—42no—
313C23×D13—42no—
314C23×D13C22×C411yescharacteristic
315C23×D13C22×C411yescharacteristic
316C23×D13C22×C411yescharacteristic
317C23×D13C22×C411yescharacteristic
318C23×D13C22×C411yescharacteristic
319C23×D13C22×C411yescharacteristic
320C23×D13C22×C411yescharacteristic, complemented
321C23×D13C22×C412yescomplemented
322C23×D13C2411yescharacteristic
323C23×D13C2412yes—
324C23×D13C2411yescharacteristic
325C23×D13C2411yescharacteristic
326C23×D13C2411yescharacteristic
327C23×D13C2411yescharacteristic
328C22×#261—24no—
329C22×#261—24no—
330C22×#261—24no—
331C22×#261—24no—
332C22×#261—24no—
333C22×#261—24no—
334C22×#261—41no—
335C22×#261—42no—
336C22×#261—42no—
337C22×#261—42no—
338C22×#261—41no—
339C22×#261—42no—
340C22×#261—42no—
341C22×#261—42no—
342C22×#261—42no—
343C22×#261—42no—
344C22×#261—42no—
345C22×#261—42no—
346C22×#261—42no—
347C22×#261—416no—
348C22×#261C2412yes—
349C22×#261C2412yes—
350C22×#261C2412yes—
351C22×#261C2412yes—
352C22×#261C2412yes—
353C22×#261C2412yes—
354C22×#261C2412yes—
355C22×#261C2412yes—
356C2×D4×C13—42no—
357C2×D4×C13—42no—
358C2×D4×C13C22×C412yes—
359C2×D4×C13C22×C411yescharacteristic
360C2×D4×C13C22×C411yescharacteristic
361C2×D4×C13C22×C412yes—
362C2×D4×C13C22×C412yes—
363C2×D4×C13C22×C411yescharacteristic
364C2×D4×C13C22×C411yescharacteristic
365C2×D4×C13C22×C412yescomplemented
366C22×C4×C13C22×C411yescharacteristic
367C22×C4×C13C22×C412yescomplemented
368C22×C4×C13C22×C411yescharacteristic, complemented
369C2×C22⋊D13—42no—
370C2×C22⋊D13—42no—
371C2×C22⋊D13—42no—
372C2×C22⋊D13—42no—
373C2×C22⋊D13C22×C412yes—
374C2×C22⋊D13C22×C412yes—
375C2×C22⋊D13C22×C412yes—
376C2×C22⋊D13C22×C412yes—
377C2×C22⋊D13C22×C412yes—
378C2×C22⋊D13C22×C412yes—
379C2×C22⋊D13C22×C411yescharacteristic
380C2×C22⋊D13C22×C411yescharacteristic
381C2×C22⋊D13C22×C411yescharacteristic
382C2×C22⋊D13C22×C411yescharacteristic
383C2×C22⋊D13C22×C411yescharacteristic
384C2×C22⋊D13C22×C411yescharacteristic
385C2×C22⋊D13C22×C411yescharacteristic
386C2×C22⋊D13C22×C411yescharacteristic
387C2×C22⋊D13C22×C412yescomplemented
388C2×C22⋊D13C22×C412yescomplemented
389C22×Dic13C22×C411yescharacteristic
390C22×Dic13C22×C411yescharacteristic, complemented
391C22×Dic13C22×C412yescomplemented
392D4×D13—24no—
393D4×D13—24no—
394D4×D13—42no—
395D4×D13—42no—
396D4×D13—42no—
397D4×D13—42no—
398D4×D13—42no—
399D4×D13—42no—
400D4×D13—41no—
401D4×D13—41no—
402D4×D13—41no—
403D4×D13—41no—
404D4×D13—42no—
405D4×D13—42no—
406D4×D13—41no—
407D4×D13—41no—
408D4×D13—41no—
409D4×D13—41no—
410D4×D13—42no—
411D4×D13—42no—
412D4×D13—44no—
413D4×D13—44no—
414C2×D52—42no—
415C2×D52—42no—
416C2×D52C22×C412yes—
417C2×D52C22×C412yes—
418C2×D52C22×C412yes—
419C2×D52C22×C411yescharacteristic
420C2×D52C22×C411yescharacteristic
421C2×D52C22×C411yescharacteristic
422C2×D52C22×C411yescharacteristic
423C2×D52C22×C412yescomplemented
424C2×C4×D13—22no—
425C2×C4×D13—22no—
426C2×C4×D13—42no—
427C2×C4×D13—42no—
428C2×C4×D13—41no—
429C2×C4×D13—41no—
430C2×C4×D13C22×C411yescharacteristic
431C2×C4×D13C22×C411yescharacteristic
432C2×C4×D13C22×C412yescomplemented
433C2×C4×D13C22×C412yescomplemented
434C2×C4×D13C22×C412yescomplemented
435C2×C4×D13C2412yes—
436C2×C4×D13C2412yes—
437C2×C4×D13C2411yescharacteristic
438C2×C4×D13C2411yescharacteristic
439C2×C4×D13C2412yes—
440C22⋊#261—24no—
441C22⋊#261—24no—
442C22⋊#261—24no—
443C22⋊#261—24no—
444C22⋊#261—24no—
445C22⋊#261—42no—
446C22⋊#261—42no—
447C22⋊#261—42no—
448C22⋊#261—42no—
449C22⋊#261—42no—
450C22⋊#261—42no—
451C22⋊#261—42no—
452C22⋊#261—42no—
453C22⋊#261—41no—
454C22⋊#261—42no—
455C22⋊#261—41no—
456C22⋊#261—42no—
457C22⋊#261—42no—
458C22⋊#261—42no—
459C22⋊#261—42no—
460C22⋊#261—42no—
461C22⋊#261—42no—
462C22⋊#261—42no—
463C4⋊#261—24no—
464C4⋊#261—42no—
465C4⋊#261—42no—
466C4⋊#261—41no—
467C4⋊#261—42no—
468C4⋊#261—41no—
469C4⋊#261—42no—
470C4⋊#261—42no—
471C4⋊#261—42no—
472C4×#261—24no—
473C4×#261—42no—
474C4×#261—42no—
475C4×#261—41no—
476C4×#261—42no—
477C4×#261—41no—
478C4×#261—42no—
479C4×#261—42no—
480C4×#261—42no—
481C13×C4⋊C4C22×C412yescomplemented
482C13×C4⋊C4C22×C412yescomplemented
483C13×C22⋊C4C22×C412yes—
484C13×C22⋊C4C22×C412yes—
485C13×C22⋊C4C22×C412yes—
486C13×C22⋊C4C22×C411yescharacteristic, complemented
487C13×C22⋊C4C22×C411yescharacteristic, complemented
488C13×C22⋊C4C22×C412yescomplemented
489C13×C22⋊C4C22×C412yescomplemented
490C22⋊Dic13C22×C412yes—
491C22⋊Dic13C22×C412yes—
492C22⋊Dic13C22×C412yes—
493C22⋊Dic13C22×C411yescharacteristic, complemented
494C22⋊Dic13C22×C411yescharacteristic, complemented
495C22⋊Dic13C22×C412yescomplemented
496C22⋊Dic13C22×C412yescomplemented
497#6103C22×C412yes—
498#6103C22×C412yes—
499#6103C22×C412yes—
500#6103C22×C412yes—
501#6103C22×C412yes—
502#6103C22×C412yes—
503#6103C22×C412yescomplemented
504#6103C22×C412yescomplemented
505#6103C22×C412yescomplemented
506#6103C22×C412yescomplemented
507#6103C22×C412yescomplemented
508#6103C22×C412yescomplemented
509C4⋊Dic13C22×C412yescomplemented
510C4⋊Dic13C22×C412yescomplemented
511#6101C22×C412yescomplemented
512#6101C22×C412yescomplemented
513#6101C22×C412yescomplemented
514#6101C22×C412yescomplemented
515C2×#534—131no—
516#2377—132no—
517#2376—131no—
518#2375—131no—
519#2374—131no—
520#2363—132no—
521#2359—132no—
522#2359—132no—
523#2358—131no—
524#2342—132no—
525D4×C22⋊C4—132no—
526#2335—132no—
527#2333—132no—
528#2324—132no—
529#2321—132no—
530#2321—132no—
531#2309—131no—
532C4×#120—132no—
533C2×#386—131no—
534C23×C13—22no—
535C23×C13—22no—
536C23×C13—42no—
537C23×C13—41no—
538C23×C13—42no—
539C23×C13—42no—
540C23×C13C23×C411yescharacteristic
541C23×C13C23×C411yescharacteristic
542C23×C13C23×C411yescharacteristic
543C23×C13C23×C412yes—
544C23×C13C23×C411yescharacteristic
545C23×C13C23×C411yescharacteristic
546C22×D13—22no—
547C22×D13—22no—
548C22×D13—22no—
549C22×D13—22no—
550C22×D13—22no—
551C22×D13—22no—
552C22×D13—22no—
553C22×D13—22no—
554C22×D13—22no—
555C22×D13—21no—
556C22×D13—21no—
557C22×D13—22no—
558C22×D13—22no—
559C22×D13—22no—
560C22×D13—22no—
561C22×D13—22no—
562C22×D13—21no—
563C22×D13—21no—
564C22×D13—21no—
565C22×D13—21no—
566C22×D13—21no—
567C22×D13—21no—
568C22×D13—22no—
569C22×D13—22no—
570C22×D13—22no—
571C22×D13—22no—
572C22×D13—22no—
573C22×D13—22no—
574C22×D13—22no—
575C22×D13—22no—
576C22×D13—42no—
577C22×D13—42no—
578C22×D13—42no—
579C22×D13—41no—
580C22×D13—42no—
581C22×D13—42no—
582C22×D13—42no—
583C22×D13—42no—
584C22×D13—42no—
585C22×D13—42no—
586C22×D13—42no—
587C22×D13—44no—
588C22×D13—44no—
589C22×D13—48no—
590C22×D13—82no—
591C22×D13—82no—
592C22×D13—84no—
593C22×D13—82no—
594C22×D13—82no—
595C22×D13—84no—
596C22×D13C23×C411yescharacteristic
597C22×D13C23×C411yescharacteristic
598C22×D13C23×C411yescharacteristic
599C22×D13C23×C412yes—
600C22×D13C23×C411yescharacteristic
601C22×D13C23×C411yescharacteristic
602C22×D13H(5,𝔽2)12yes—
603C22×D13H(5,𝔽2)12yes—
604C22×D13C2511yescharacteristic
605C2×#261—22no—
606C2×#261—22no—
607C2×#261—22no—
608C2×#261—22no—
609C2×#261—22no—
610C2×#261—22no—
611C2×#261—22no—
612C2×#261—22no—
613C2×#261—22no—
614C2×#261—22no—
615C2×#261—22no—
616C2×#261—22no—
617C2×#261—22no—
618C2×#261—22no—
619C2×#261—22no—
620C2×#261—22no—
621C2×#261—22no—
622C2×#261—22no—
623C2×#261—22no—
624C2×#261—22no—
625C2×#261—22no—
626C2×#261—22no—
627C2×#261—22no—
628C2×#261—44no—
629C2×#261—48no—
630C2×#261—48no—
631C2×#261—44no—
632C2×#261—84no—
633C2×#261—84no—
634C2×#261—84no—
635C2×#261H(5,𝔽2)14yes—
636D4×C13—24no—
637D4×C13—41no—
638D4×C13—41no—
639D4×C13—41no—
640D4×C13—41no—
641D4×C13—42no—
642D4×C13—42no—
643D4×C13—42no—
644C2×C4×C13—22no—
645C2×C4×C13—41no—
646C2×C4×C13—42no—
647C2×C4×C13C23×C412yes—
648C2×C4×C13C23×C411yescharacteristic
649C2×C4×C13C23×C411yescharacteristic
650C2×C4×C13C23×C412yes—
651C2×C4×C13C23×C412yes—
652C22⋊D13—24no—
653C22⋊D13—24no—
654C22⋊D13—41no—
655C22⋊D13—41no—
656C22⋊D13—41no—
657C22⋊D13—41no—
658C22⋊D13—41no—
659C22⋊D13—41no—
660C22⋊D13—41no—
661C22⋊D13—41no—
662C22⋊D13—42no—
663C22⋊D13—42no—
664C22⋊D13—42no—
665C22⋊D13—42no—
666C22⋊D13—42no—
667C22⋊D13—42no—
668C2×Dic13—22no—
669C2×Dic13—42no—
670C2×Dic13—41no—
671C2×Dic13C23×C412yes—
672C2×Dic13C23×C411yescharacteristic
673C2×Dic13C23×C411yescharacteristic
674C2×Dic13C23×C412yes—
675C2×Dic13C23×C412yes—
676D52—24no—
677D52—41no—
678D52—41no—
679D52—41no—
680D52—41no—
681D52—42no—
682D52—42no—
683D52—42no—
684C4×D13—22no—
685C4×D13—22no—
686C4×D13—22no—
687C4×D13—21no—
688C4×D13—21no—
689C4×D13—22no—
690C4×D13—22no—
691C4×D13—22no—
692C4×D13—21no—
693C4×D13—21no—
694C4×D13—22no—
695C4×D13—22no—
696C4×D13—42no—
697C4×D13—42no—
698C4×D13—42no—
699C23×D4—131no—
700C23×D4—131no—
701C24×C4—131no—
702#534—131no—
703#534—131no—
704#534—132no—
705#534—131no—
706#534—131no—
707#534—132no—
708#534—132no—
709#534—132no—
710#534—131no—
711#534—131no—
712#534—131no—
713#534#26111yescharacteristic, complemented
714C2×#123—131no—
715C2×#123—132no—
716C2×#123—131no—
717C2×#121—132no—
718C2×#121—132no—
719C2×#120—131no—
720C2×#120—132no—
721C2×#120—131no—
722C2×C4×D4—132no—
723C2×C4×D4—132no—
724C2×C4×D4—132no—
725C2×C4×D4—132no—
726C2×#117—131no—
727C2×#117—131no—
728C2×#117—132no—
729C22×C22⋊C4—131no—
730C22×C22⋊C4—131no—
731C22×C22⋊C4—132no—
732C22×C22⋊C4—132no—
733#390—132no—
734#390—131no—
735#390—131no—
736#390—131no—
737#390—132no—
738#390—131no—
739#390—132no—
740#390—132no—
741#390—132no—
742#390—132no—
743#389—132no—
744#389—132no—
745#388—132no—
746#388—132no—
747#388—132no—
748#388—132no—
749#388—132no—
750#388—132no—
751#388—132no—
752#388—132no—
753#388—132no—
754#388—132no—
755#388—132no—
756#388—132no—
757#387—132no—
758#387—132no—
759#387—132no—
760#387—132no—
761#386—132no—
762#386—132no—
763#386—132no—
764#386—132no—
765#386—132no—
766#386—132no—
767#386—132no—
768#386—132no—
769#386—132no—
770#386—131no—
771#386—131no—
772#386—131no—
773#386—132no—
774#386—131no—
775#385—132no—
776#385—132no—
777#385—132no—
778#385—132no—
779#385—132no—
780#385—132no—
781#381—132no—
782#380—132no—
783#380—132no—
784#379—132no—
785#379—132no—
786#379—132no—
787C4×C4⋊C4—132no—
788C4×C4⋊C4—132no—
789C4×C22⋊C4—132no—
790C4×C22⋊C4—132no—
791C4×C22⋊C4—132no—
792C4×C22⋊C4—132no—
793C4×C22⋊C4—132no—
794C4×C22⋊C4—132no—
795C4×C22⋊C4—132no—
796C4×C22⋊C4—132no—
797C2×#95—132no—
798C22×C13—22no—
799C22×C13—21no—
800C22×C13—22no—
801C22×C13—21no—
802C22×C13—21no—
803C22×C13—21no—
804C22×C13—22no—
805C22×C13—22no—
806C22×C13—22no—
807C22×C13—22no—
808C22×C13—22no—
809C22×C13—22no—
810C22×C13—44no—
811C22×C13—82no—
812C22×C13—82no—
813C22×C13#51812yes—
814C22×C13C24×C411yescharacteristic
815C2×D13—22no—
816C2×D13—22no—
817C2×D13—22no—
818C2×D13—24no—
819C2×D13—21no—
820C2×D13—22no—
821C2×D13—21no—
822C2×D13—21no—
823C2×D13—21no—
824C2×D13—22no—
825C2×D13—22no—
826C2×D13—22no—
827C2×D13—22no—
828C2×D13—22no—
829C2×D13—22no—
830C2×D13—44no—
831C2×D13—44no—
832C2×D13—44no—
833C2×D13—41no—
834C2×D13—41no—
835C2×D13—42no—
836C2×D13—41no—
837C2×D13—41no—
838C2×D13—41no—
839C2×D13—41no—
840C2×D13—42no—
841C2×D13—41no—
842C2×D13—41no—
843C2×D13—42no—
844C2×D13—42no—
845C2×D13—42no—
846C2×D13—42no—
847C2×D13—42no—
848C2×D13—42no—
849C2×D13—82no—
850C2×D13—82no—
851C2×D13—82no—
852C2×D13—82no—
853C2×D13—84no—
854C2×D13#51812yes—
855C2×D13C2×H(5,𝔽2)11yescharacteristic
856C2×D13C2×H(5,𝔽2)12yes—
857C2×D13C2×H(5,𝔽2)11yescharacteristic
858C2×D13#58512yes—
859#261—24no—
860#261—42no—
861#261—42no—
862#261—42no—
863#261—42no—
864#261—42no—
865#261—42no—
866#261—42no—
867C4×C13—21no—
868C4×C13—21no—
869C4×C13—22no—
870C4×C13—22no—
871C4×C13—22no—
872Dic13—21no—
873Dic13—21no—
874Dic13—22no—
875Dic13—22no—
876Dic13—22no—
877C25—131no—
878C25—131no—
879C25—131no—
880C22×D4—131no—
881C22×D4—131no—
882C22×D4—131no—
883C22×D4—131no—
884C22×D4—132no—
885C22×D4—132no—
886C22×D4—132no—
887C22×D4—131no—
888C22×D4—131no—
889C22×D4—131no—
890C22×D4—131no—
891C22×D4—131no—
892C22×D4—131no—
893C22×D4—131no—
894C22×D4—131no—
895C22×D4—132no—
896C22×D4—132no—
897C22×D4—132no—
898C22×D4—131no—
899C22×D4—131no—
900C22×D4—522no—
901C22×D4—522no—
902C22×D4—522no—
903C22×D4—522no—
904C22×D4C2×#26111yescharacteristic, complemented
905C22×D4C2×#26111yescharacteristic, complemented
906C23×C4—131no—
907C23×C4—132no—
908C23×C4—131no—
909C23×C4—132no—
910C23×C4—131no—
911C23×C4—132no—
912C23×C4—132no—
913C23×C4—132no—
914C23×C4—132no—
915C23×C4—131no—
916C23×C4—524no—
917C23×C4—522no—
918#123—132no—
919#123—131no—
920#123—131no—
921#123—132no—
922#123—131no—
923#123—131no—
924#123—132no—
925#123—132no—
926#123—132no—
927#123—132no—
928#123—132no—
929#123—132no—
930#123—132no—
931#123—132no—
932#123—132no—
933#123—131no—
934#123—131no—
935#123C2×#26111yescharacteristic, complemented
936#123C2×#26111yescharacteristic, complemented
937#123C2×#26112yescomplemented
938#121—132no—
939#121—132no—
940#121—132no—
941#121—132no—
942#121—132no—
943#121—132no—
944#121—132no—
945#121—132no—
946#121—132no—
947#121—132no—
948#121—132no—
949#121—132no—
950#121—132no—
951#121—132no—
952#121C2×#26112yescomplemented
953#121C2×#26112yescomplemented
954#120—132no—
955#120—131no—
956#120—131no—
957#120—132no—
958#120—131no—
959#120—131no—
960#120—132no—
961#120—132no—
962#120—132no—
963#120—132no—
964#120—132no—
965#120—132no—
966#120—132no—
967#120—132no—
968#120—132no—
969#120—131no—
970#120—131no—
971#120C2×#26112yescomplemented
972#120C2×#26111yescharacteristic, complemented
973#120C2×#26111yescharacteristic, complemented
974C4×D4—524no—
975C4×D4—524no—
976C4×D4—524no—
977C4×D4—524no—
978#117—524no—
979#117—522no—
980#117—522no—
981C2×C4⋊C4—132no—
982C2×C4⋊C4—132no—
983C2×C4⋊C4—132no—
984C2×C4⋊C4—131no—
985C2×C4⋊C4—132no—
986C2×C4⋊C4—132no—
987C2×C4⋊C4—131no—
988C2×C4⋊C4—132no—
989C2×C4⋊C4—132no—
990C2×C4⋊C4—132no—
991C2×C4⋊C4—132no—
992C2×C22⋊C4—131no—
993C2×C22⋊C4—132no—
994C2×C22⋊C4—132no—
995C2×C22⋊C4—132no—
996C2×C22⋊C4—132no—
997C2×C22⋊C4—132no—
998C2×C22⋊C4—131no—
999C2×C22⋊C4—131no—
1000C2×C22⋊C4—131no—
1001C2×C22⋊C4—131no—
1002C2×C22⋊C4—132no—
1003C2×C22⋊C4—132no—
1004C2×C22⋊C4—132no—
1005C2×C22⋊C4—132no—
1006C2×C22⋊C4—132no—
1007C2×C22⋊C4—132no—
1008C2×C22⋊C4—132no—
1009C2×C22⋊C4—132no—
1010C2×C22⋊C4—132no—
1011C2×C22⋊C4—132no—
1012C2×C22⋊C4—132no—
1013C2×C22⋊C4—131no—
1014C2×C22⋊C4—132no—
1015C2×C22⋊C4—131no—
1016C2×C22⋊C4—132no—
1017C2×C22⋊C4—132no—
1018C2×C22⋊C4—132no—
1019C2×C22⋊C4—132no—
1020C2×C22⋊C4—132no—
1021C2×C22⋊C4—132no—
1022C2×C22⋊C4—132no—
1023C2×C22⋊C4—132no—
1024C2×C22⋊C4—132no—
1025C2×C22⋊C4—132no—
1026C2×C22⋊C4—132no—
1027C2×C22⋊C4—524no—
1028C2×C22⋊C4—524no—
1029C2×C22⋊C4—522no—
1030C2×C22⋊C4C2×#26111yescharacteristic, complemented
1031C2×C42—132no—
1032C2×C42—131no—
1033C2×C42—132no—
1034C2×C42—132no—
1035C2×C42—131no—
1036C2×C42—132no—
1037C2×C42—132no—
1038C2×C42—132no—
1039C2×C42—132no—
1040#95—132no—
1041#95—132no—
1042#95—132no—
1043#95—132no—
1044#95—132no—
1045#95—132no—
1046#95—132no—
1047#95—132no—
1048#95—132no—
1049#95—132no—
1050#95—132no—
1051#95—132no—
1052#95—132no—
1053#95—132no—
1054#95—132no—
1055#95—132no—
1056C2×C13—22no—
1057C2×C13—41no—
1058C2×C13—41no—
1059C2×C13—41no—
1060C2×C13—42no—
1061C2×C13—41no—
1062C2×C13C2×#51811yescharacteristic
1063C2×C13C4×H(5,𝔽2)12yes—
1064D13—22no—
1065D13—41no—
1066D13—41no—
1067D13—42no—
1068D13—41no—
1069D13—41no—
1070D13#353211yescharacteristic
1071D13#353311yescharacteristic
1072D13#354212yes—
1073C24—131no—
1074C24—131no—
1075C24—132no—
1076C24—131no—
1077C24—131no—
1078C24—131no—
1079C24—131no—
1080C24—131no—
1081C24—131no—
1082C24—131no—
1083C24—131no—
1084C24—131no—
1085C24—132no—
1086C24—131no—
1087C24—262no—
1088C24—262no—
1089C24—262no—
1090C24—262no—
1091C24—522no—
1092C24—522no—
1093C24—522no—
1094C24—522no—
1095C24—521no—
1096C24—521no—
1097C24—522no—
1098C24—522no—
1099C24C22×#26111yescharacteristic
1100C24C22×#26111yescharacteristic
1101C24C22×#26111yescharacteristic, complemented
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—132no—
1105C2×D4—132no—
1106C2×D4—132no—
1107C2×D4—132no—
1108C2×D4—132no—
1109C2×D4—132no—
1110C2×D4—131no—
1111C2×D4—131no—
1112C2×D4—131no—
1113C2×D4—131no—
1114C2×D4—131no—
1115C2×D4—131no—
1116C2×D4—131no—
1117C2×D4—131no—
1118C2×D4—132no—
1119C2×D4—132no—
1120C2×D4—132no—
1121C2×D4—132no—
1122C2×D4—132no—
1123C2×D4—131no—
1124C2×D4—131no—
1125C2×D4—131no—
1126C2×D4—131no—
1127C2×D4—132no—
1128C2×D4—264no—
1129C2×D4—264no—
1130C2×D4—522no—
1131C2×D4—522no—
1132C2×D4—522no—
1133C2×D4—522no—
1134C2×D4—521no—
1135C2×D4—521no—
1136C2×D4—521no—
1137C2×D4—521no—
1138C2×D4—522no—
1139C2×D4—522no—
1140C2×D4—521no—
1141C2×D4—521no—
1142C2×D4—521no—
1143C2×D4—521no—
1144C2×D4—522no—
1145C2×D4—522no—
1146C2×D4—522no—
1147C2×D4—522no—
1148C2×D4—522no—
1149C2×D4—522no—
1150C2×D4—522no—
1151C2×D4—522no—
1152C2×D4—524no—
1153C2×D4—524no—
1154C2×D4—522no—
1155C2×D4—522no—
1156C2×D4C22×#26112yes—
1157C2×D4C22×#26112yes—
1158C2×D4C22×#26112yes—
1159C2×D4C22×#26111yescharacteristic
1160C2×D4C22×#26111yescharacteristic
1161C2×D4C22×#26111yescharacteristic
1162C2×D4C22×#26111yescharacteristic
1163C2×D4C22×#26112yescomplemented
1164C22×C4—132no—
1165C22×C4—131no—
1166C22×C4—132no—
1167C22×C4—131no—
1168C22×C4—132no—
1169C22×C4—132no—
1170C22×C4—131no—
1171C22×C4—131no—
1172C22×C4—132no—
1173C22×C4—131no—
1174C22×C4—131no—
1175C22×C4—132no—
1176C22×C4—132no—
1177C22×C4—132no—
1178C22×C4—132no—
1179C22×C4—132no—
1180C22×C4—132no—
1181C22×C4—132no—
1182C22×C4—132no—
1183C22×C4—132no—
1184C22×C4—132no—
1185C22×C4—262no—
1186C22×C4—262no—
1187C22×C4—264no—
1188C22×C4—264no—
1189C22×C4—264no—
1190C22×C4—264no—
1191C22×C4—264no—
1192C22×C4—264no—
1193C22×C4—522no—
1194C22×C4—521no—
1195C22×C4—521no—
1196C22×C4—522no—
1197C22×C4—521no—
1198C22×C4—522no—
1199C22×C4—522no—
1200C22×C4—522no—
1201C22×C4—522no—
1202C22×C4—521no—
1203C22×C4—522no—
1204C22×C4—522no—
1205C22×C4—522no—
1206C22×C4—522no—
1207C22×C4—522no—
1208C22×C4—522no—
1209C22×C4—522no—
1210C22×C4—5216no—
1211C22×C4C22×#26111yescharacteristic
1212C22×C4C22×#26112yescomplemented
1213C22×C4C22×#26111yescharacteristic, complemented
1214C4⋊C4—132no—
1215C4⋊C4—132no—
1216C4⋊C4—132no—
1217C4⋊C4—132no—
1218C4⋊C4—132no—
1219C4⋊C4—132no—
1220C4⋊C4—264no—
1221C4⋊C4—522no—
1222C4⋊C4—521no—
1223C4⋊C4—522no—
1224C4⋊C4—521no—
1225C4⋊C4—522no—
1226C4⋊C4—522no—
1227C4⋊C4—522no—
1228C4⋊C4—522no—
1229C4⋊C4C22×#26112yescomplemented
1230C4⋊C4C22×#26112yescomplemented
1231C22⋊C4—132no—
1232C22⋊C4—131no—
1233C22⋊C4—131no—
1234C22⋊C4—132no—
1235C22⋊C4—132no—
1236C22⋊C4—132no—
1237C22⋊C4—132no—
1238C22⋊C4—132no—
1239C22⋊C4—132no—
1240C22⋊C4—132no—
1241C22⋊C4—132no—
1242C22⋊C4—132no—
1243C22⋊C4—132no—
1244C22⋊C4—132no—
1245C22⋊C4—132no—
1246C22⋊C4—132no—
1247C22⋊C4—132no—
1248C22⋊C4—132no—
1249C22⋊C4—132no—
1250C22⋊C4—264no—
1251C22⋊C4—264no—
1252C22⋊C4—264no—
1253C22⋊C4—264no—
1254C22⋊C4—264no—
1255C22⋊C4—522no—
1256C22⋊C4—522no—
1257C22⋊C4—521no—
1258C22⋊C4—522no—
1259C22⋊C4—522no—
1260C22⋊C4—522no—
1261C22⋊C4—521no—
1262C22⋊C4—522no—
1263C22⋊C4—522no—
1264C22⋊C4—522no—
1265C22⋊C4—522no—
1266C22⋊C4—522no—
1267C22⋊C4—522no—
1268C22⋊C4—522no—
1269C22⋊C4—522no—
1270C22⋊C4—522no—
1271C22⋊C4—522no—
1272C22⋊C4—522no—
1273C22⋊C4C22×#26112yes—
1274C22⋊C4C22×#26112yes—
1275C22⋊C4C22×#26112yes—
1276C22⋊C4C22×#26111yescharacteristic, complemented
1277C22⋊C4C22×#26111yescharacteristic, complemented
1278C22⋊C4C22×#26112yescomplemented
1279C22⋊C4C22×#26112yescomplemented
1280C42—264no—
1281C42—522no—
1282C42—521no—
1283C42—522no—
1284C42—521no—
1285C42—522no—
1286C42—522no—
1287C42—522no—
1288C42—522no—
1289C13#3440711yescharacteristic, complemented, Sylow
1290C23—22no—
1291C23—22no—
1292C23—42no—
1293C23—41no—
1294C23—42no—
1295C23—42no—
1296C23—131no—
1297C23—132no—
1298C23—132no—
1299C23—131no—
1300C23—131no—
1301C23—132no—
1302C23—131no—
1303C23—131no—
1304C23—131no—
1305C23—262no—
1306C23—262no—
1307C23—262no—
1308C23—262no—
1309C23—262no—
1310C23—261no—
1311C23—261no—
1312C23—262no—
1313C23—262no—
1314C23—262no—
1315C23—262no—
1316C23—262no—
1317C23—262no—
1318C23—262no—
1319C23—262no—
1320C23—262no—
1321C23—262no—
1322C23—261no—
1323C23—261no—
1324C23—261no—
1325C23—261no—
1326C23—262no—
1327C23—261no—
1328C23—261no—
1329C23—262no—
1330C23—262no—
1331C23—262no—
1332C23—262no—
1333C23—262no—
1334C23—262no—
1335C23—522no—
1336C23—522no—
1337C23—522no—
1338C23—521no—
1339C23—522no—
1340C23—522no—
1341C23—522no—
1342C23—522no—
1343C23—522no—
1344C23—522no—
1345C23—522no—
1346C23—524no—
1347C23—528no—
1348C23—524no—
1349C23—1042no—
1350C23—1044no—
1351C23—1042no—
1352C23—1042no—
1353C23—1044no—
1354C23—1042no—
1355C23C23×#26111yescharacteristic
1356C23C23×#26111yescharacteristic
1357C23C23×#26111yescharacteristic
1358C23C23×#26112yes—
1359C23C23×#26111yescharacteristic
1360C23C23×#26111yescharacteristic
1361D4—24no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—42no—
1367D4—42no—
1368D4—42no—
1369D4—264no—
1370D4—264no—
1371D4—264no—
1372D4—522no—
1373D4—522no—
1374D4—521no—
1375D4—521no—
1376D4—521no—
1377D4—521no—
1378D4—522no—
1379D4—522no—
1380D4—522no—
1381D4—522no—
1382D4—522no—
1383D4—521no—
1384D4—521no—
1385D4—521no—
1386D4—521no—
1387D4—521no—
1388D4—521no—
1389D4—521no—
1390D4—521no—
1391D4—522no—
1392D4—522no—
1393C2×C4—22no—
1394C2×C4—41no—
1395C2×C4—42no—
1396C2×C4—134no—
1397C2×C4—132no—
1398C2×C4—132no—
1399C2×C4—131no—
1400C2×C4—131no—
1401C2×C4—132no—
1402C2×C4—262no—
1403C2×C4—261no—
1404C2×C4—261no—
1405C2×C4—262no—
1406C2×C4—262no—
1407C2×C4—262no—
1408C2×C4—262no—
1409C2×C4—261no—
1410C2×C4—261no—
1411C2×C4—262no—
1412C2×C4—262no—
1413C2×C4—262no—
1414C2×C4—262no—
1415C2×C4—262no—
1416C2×C4—262no—
1417C2×C4—262no—
1418C2×C4—262no—
1419C2×C4—262no—
1420C2×C4—262no—
1421C2×C4—262no—
1422C2×C4—262no—
1423C2×C4—262no—
1424C2×C4—262no—
1425C2×C4—262no—
1426C2×C4—262no—
1427C2×C4—262no—
1428C2×C4—262no—
1429C2×C4—262no—
1430C2×C4—262no—
1431C2×C4—262no—
1432C2×C4—262no—
1433C2×C4—262no—
1434C2×C4—262no—
1435C2×C4—262no—
1436C2×C4—262no—
1437C2×C4—262no—
1438C2×C4—522no—
1439C2×C4—522no—
1440C2×C4—522no—
1441C2×C4—522no—
1442C2×C4—521no—
1443C2×C4—524no—
1444C2×C4—528no—
1445C2×C4—528no—
1446C2×C4—524no—
1447C2×C4—1044no—
1448C2×C4—1044no—
1449C2×C4—1044no—
1450C2×C4C23×#26112yes—
1451C2×C4C23×#26112yes—
1452C2×C4C23×#26112yes—
1453C2×C4C23×#26111yescharacteristic
1454C2×C4C23×#26111yescharacteristic
1455C22—22no—
1456C22—21no—
1457C22—22no—
1458C22—21no—
1459C22—21no—
1460C22—21no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—44no—
1468C22—82no—
1469C22—82no—
1470C22—131no—
1471C22—131no—
1472C22—132no—
1473C22—132no—
1474C22—132no—
1475C22—262no—
1476C22—264no—
1477C22—262no—
1478C22—262no—
1479C22—261no—
1480C22—262no—
1481C22—261no—
1482C22—261no—
1483C22—261no—
1484C22—262no—
1485C22—262no—
1486C22—262no—
1487C22—262no—
1488C22—262no—
1489C22—262no—
1490C22—524no—
1491C22—521no—
1492C22—521no—
1493C22—522no—
1494C22—522no—
1495C22—522no—
1496C22—522no—
1497C22—521no—
1498C22—521no—
1499C22—521no—
1500C22—522no—
1501C22—522no—
1502C22—522no—
1503C22—521no—
1504C22—521no—
1505C22—522no—
1506C22—521no—
1507C22—524no—
1508C22—524no—
1509C22—1042no—
1510C22—1042no—
1511C22—1042no—
1512C22—1042no—
1513C22—1044no—
1514C22#1171962312yes—
1515C22C24×#26111yescharacteristic
1516C4—21no—
1517C4—21no—
1518C4—22no—
1519C4—22no—
1520C4—22no—
1521C4—264no—
1522C4—261no—
1523C4—261no—
1524C4—262no—
1525C4—262no—
1526C4—262no—
1527C4—522no—
1528C4—522no—
1529C4—522no—
1530C4—522no—
1531C4—522no—
1532C4—522no—
1533C4—522no—
1534C2—22no—
1535C2—41no—
1536C2—41no—
1537C2—41no—
1538C2—42no—
1539C2—41no—
1540C2—131no—
1541C2—132no—
1542C2—131no—
1543C2—262no—
1544C2—521no—
1545C2—521no—
1546C2—521no—
1547C2—522no—
1548C2—521no—
1549C2C2×#1171962311yescharacteristic
1550C2H(5,𝔽2)×#26112yes—
subgroupG/H
center, FrattiniC22C24×#261
commutator, socleC22×C13C24×C4
FittingC13×#534C4
prime radicalD13×#534C2
cosocleC22×D13C25
hypercenter#534#261
hypocenterC13#34407
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ #534

Complements

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

NH ≅ G/Ntype
1. #13131377C2semidirect
2. #13131376C2semidirect
3. #13131375C2semidirect
4. #13131374C2semidirect
5. #13131363C2semidirect
6. #13131359C2semidirect
7. #13131359C2semidirect
8. #13131358C2semidirect
9. #13131342C2semidirect
10. D4×C22⋊#261C2semidirect
11. #13131335C2semidirect
12. #13131333C2semidirect
13. #13131324C2semidirect
14. #13131321C2semidirect
15. #13131321C2semidirect
16. #13131309C2semidirect
17. #120×#261C2semidirect
18. C2×#11719150C2semidirect
20. C24×#261C22semidirect
24. C22×C22⋊#261C22semidirect
25. C22×C22⋊#261C22semidirect
28. C2×D4×#261C22semidirect
29. C2×D4×#261C22semidirect
30. C2×#88237C22semidirect
31. C2×#88237C22semidirect
32. C2×#88237C22semidirect
33. C13×#534C4semidirect
34. #11719509C4semidirect
35. #11719509C4semidirect
36. #11719358C4semidirect
37. #11719358C4semidirect
38. #11719358C4semidirect
42. #11719310C4semidirect
43. #11719310C4semidirect
46. #11719294C4semidirect
47. #11719294C4semidirect
48. #11719294C4semidirect
52. #11719198C4semidirect
55. #11719171C22semidirect
56. #11719171C22semidirect
60. #11719151C22semidirect
61. #11719151C22semidirect
62. #11719151C22semidirect
63. #11719151C22semidirect
64. #11719151C22semidirect
65. #11719151C22semidirect
66. #11719151C22semidirect
72. #11719150C22semidirect
73. #11719150C22semidirect
74. #11719150C22semidirect
75. #11719150C22semidirect
76. #11719150C22semidirect
77. #11719150C22semidirect
78. #11719150C22semidirect
79. #11719150C22semidirect
80. #11719150C22semidirect
81. #11719136C22semidirect
82. #11719136C22semidirect
83. #11719135C22semidirect
84. C4×C22⋊#261C22semidirect
85. C4×C22⋊#261C22semidirect
86. C2×(C2×#261)⋊C4C22semidirect
87. #11719083C22semidirect
88. #11719083C22semidirect
89. #11719082C22semidirect
90. #11719082C22semidirect
91. #11719082C22semidirect
92. #11719082C22semidirect
93. C4⋊C4×#261C22semidirect
94. C4⋊C4×#261C22semidirect
95. #11719071C22semidirect
96. #11719071C22semidirect
97. #11719071C22semidirect
98. #11719071C22semidirect
99. #11719071C22semidirect
100. #11719071C22semidirect
101. #11719071C22semidirect
102. #11719071C22semidirect
103. #11719071C22semidirect
104. #11719071C22semidirect
105. #11719071C22semidirect
106. #11719071C22semidirect
107. #11719070C22semidirect
108. #11719070C22semidirect
109. #11719070C22semidirect
110. #11719070C22semidirect
111. #11719070C22semidirect
112. #11719070C22semidirect
113. C22⋊C4×#261C22semidirect
114. C22⋊C4×#261C22semidirect
115. C22⋊C4×#261C22semidirect
116. C22⋊C4×#261C22semidirect
117. C22⋊C4×#261C22semidirect
118. C22⋊C4×#261C22semidirect
131. C22×D4×C13C2×C4semidirect
132. C22×D4×C13C2×C4semidirect
133. C22×C22⋊D13C2×C4semidirect
134. C22×C22⋊D13C2×C4semidirect
135. C22×C22⋊D13C2×C4semidirect
136. C22×C22⋊D13C2×C4semidirect
141. C2×D4×D13C2×C4semidirect
142. C2×D4×D13C2×C4semidirect
143. C2×D4×D13C2×C4semidirect
144. C2×D4×D13C2×C4semidirect
145. C2×D4×D13C2×C4semidirect
146. C2×D4×D13C2×C4semidirect
155. C22×D52C2×C4semidirect
156. C22×D52C2×C4semidirect
211. C13×#123C2×C4semidirect
212. C13×#123C2×C4semidirect
213. C13×#123C2×C4semidirect
214. C13×#121C2×C4semidirect
215. C13×#121C2×C4semidirect
216. C13×#120C2×C4semidirect
217. C13×#120C2×C4semidirect
218. C13×#120C2×C4semidirect
219. C2×C13×C22⋊C4C2×C4semidirect
220. #88207C2×C4semidirect
221. #88207C2×C4semidirect
222. #88207C2×C4semidirect
223. C2×C22⋊Dic13C2×C4semidirect
224. #88193C2×C4semidirect
225. #88193C2×C4semidirect
226. #88193C2×C4semidirect
227. #88193C2×C4semidirect
228. #88192C2×C4semidirect
229. #88192C2×C4semidirect
230. #88191C2×C4semidirect
231. #88191C2×C4semidirect
232. #88191C2×C4semidirect
233. #88191C2×C4semidirect
234. #88191C2×C4semidirect
235. #88191C2×C4semidirect
236. #88191C2×C4semidirect
237. #88189C2×C4semidirect
238. #88189C2×C4semidirect
239. #88189C2×C4semidirect
240. #88184C2×C4semidirect
241. #88184C2×C4semidirect
242. #88183C2×C4semidirect
243. #88183C2×C4semidirect
244. #88183C2×C4semidirect
245. C2×#6103C2×C4semidirect
246. #88149C2×C4semidirect
247. #88149C2×C4semidirect
248. #88148C2×C4semidirect
249. #88148C2×C4semidirect
250. #88148C2×C4semidirect
251. #88148C2×C4semidirect
254. #88140C2×C4semidirect
255. #88140C2×C4semidirect
256. #88140C2×C4semidirect
257. #88138C2×C4semidirect
258. #88138C2×C4semidirect
259. #88138C2×C4semidirect
260. #88138C2×C4semidirect
261. #88137C2×C4semidirect
262. #88137C2×C4semidirect
263. #88137C2×C4semidirect
264. #88137C2×C4semidirect
265. #88136C2×C4semidirect
266. #88136C2×C4semidirect
267. #88136C2×C4semidirect
268. #88136C2×C4semidirect
269. #88136C2×C4semidirect
270. #88136C2×C4semidirect
271. #88136C2×C4semidirect
272. C22⋊C4×D13C2×C4semidirect
273. C22⋊C4×D13C2×C4semidirect
274. C22⋊C4×D13C2×C4semidirect
301. C24×C13C22×C4semidirect
320. C23×D13C22×C4semidirect
321. C23×D13C22×C4semidirect
365. C2×D4×C13C22×C4semidirect
367. C22×C4×C13C22×C4semidirect
368. C22×C4×C13C22×C4semidirect
387. C2×C22⋊D13C22×C4semidirect
388. C2×C22⋊D13C22×C4semidirect
390. C22×Dic13C22×C4semidirect
391. C22×Dic13C22×C4semidirect
423. C2×D52C22×C4semidirect
432. C2×C4×D13C22×C4semidirect
433. C2×C4×D13C22×C4semidirect
434. C2×C4×D13C22×C4semidirect
481. C13×C4⋊C4C22×C4semidirect
482. C13×C4⋊C4C22×C4semidirect
486. C13×C22⋊C4C22×C4semidirect
487. C13×C22⋊C4C22×C4semidirect
488. C13×C22⋊C4C22×C4semidirect
489. C13×C22⋊C4C22×C4semidirect
493. C22⋊Dic13C22×C4semidirect
494. C22⋊Dic13C22×C4semidirect
495. C22⋊Dic13C22×C4semidirect
496. C22⋊Dic13C22×C4semidirect
503. #6103C22×C4semidirect
504. #6103C22×C4semidirect
505. #6103C22×C4semidirect
506. #6103C22×C4semidirect
507. #6103C22×C4semidirect
508. #6103C22×C4semidirect
509. C4⋊Dic13C22×C4semidirect
510. C4⋊Dic13C22×C4semidirect
511. #6101C22×C4semidirect
512. #6101C22×C4semidirect
513. #6101C22×C4semidirect
514. #6101C22×C4semidirect
713. #534#261semidirect
904. C22×D4C2×#261semidirect
905. C22×D4C2×#261semidirect
935. #123C2×#261semidirect
936. #123C2×#261semidirect
937. #123C2×#261semidirect
952. #121C2×#261semidirect
953. #121C2×#261semidirect
971. #120C2×#261semidirect
972. #120C2×#261semidirect
973. #120C2×#261semidirect
1030. C2×C22⋊C4C2×#261semidirect
1101. C24C22×#261semidirect
1163. C2×D4C22×#261semidirect
1212. C22×C4C22×#261semidirect
1213. C22×C4C22×#261semidirect
1229. C4⋊C4C22×#261semidirect
1230. C4⋊C4C22×#261semidirect
1276. C22⋊C4C22×#261semidirect
1277. C22⋊C4C22×#261semidirect
1278. C22⋊C4C22×#261semidirect
1279. C22⋊C4C22×#261semidirect
1289. C13#34407semidirect

Maximal subgroups

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

subgroupindex
#131313772
#131313762
#131313752
#131313742
#131313632
#131313592
#131313582
#131313422
D4×C22⋊#2612
#131313352
#131313332
#131313242
#131313212
#131313092
#120×#2612
C2×#117191502
D13×#5342
#3440713