Finite Group Databasebeta

← C131×#36772 #45722656

Subgroups — C131×#36772 #45722656

Order 33536.

1494 conjugacy classes of subgroups.

The subgroup lattice has 1318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2857×C131C211yesmaximal, characteristic, complemented
2#2855×C131C211yesmaximal, characteristic, complemented
3#2799×C131C211yesmaximal, characteristic, complemented
4#2798×C131C211yesmaximal, characteristic, complemented
5#2793×C131C211yesmaximal, characteristic, complemented
6#2791×C131C211yesmaximal, characteristic, complemented
7#2787×C131C211yesmaximal, characteristic, complemented
8#2781×C131C211yesmaximal, characteristic
9#2779×C131C211yesmaximal, characteristic
10#2770×C131C211yesmaximal, characteristic, complemented
11#2759×C131C211yesmaximal, characteristic, complemented
12#2755×C131C211yesmaximal, characteristic, complemented
13#2747×C131C211yesmaximal, characteristic, complemented
14#2741×C131C211yesmaximal, characteristic
15#2716×C131C211yesmaximal, characteristic, complemented
16#2713×C131C211yesmaximal, characteristic, complemented
17#2702×C131C211yesmaximal, characteristic
18#2690×C131C211yesmaximal, characteristic, complemented
19#2638×C131C211yesmaximal, characteristic
20#2638×C131C211yesmaximal, characteristic
21#2590×C131C211yesmaximal, characteristic, complemented
22#2589×C131C211yesmaximal, characteristic, complemented
23#2588×C131C211yesmaximal, characteristic, complemented
24#2587×C131C211yesmaximal, characteristic, complemented
25#2533×C131C211yesmaximal, characteristic, complemented
26#2528×C131C211yesmaximal, characteristic, complemented
27#2478×C131C211yesmaximal, characteristic, complemented
28#2475×C131C211yesmaximal, characteristic, complemented
29#2332×C131C211yesmaximal, characteristic, complemented
30#2332×C131C211yesmaximal, characteristic, complemented
31#2290×C131C211yesmaximal, characteristic
32C2×C4⋊Q8×C131C2211yescharacteristic
33C2×#126×C131C2211yescharacteristic
34C2×#125×C131C2211yescharacteristic
35C2×C22⋊Q8×C131C2211yescharacteristic
36C2×C22⋊Q8×C131C2211yescharacteristic
37C2×C22⋊Q8×C131C2211yescharacteristic
38C2×C4×D4×C131C2211yescharacteristic
39C2×#117×C131C2211yescharacteristic
40C22×C42×C131C2211yescharacteristic
41#401×C131C2211yescharacteristic
42#400×C131C2211yescharacteristic
43#400×C131C2211yescharacteristic
44#400×C131C2211yescharacteristic
45#400×C131C2211yescharacteristic
46#400×C131C2211yescharacteristic
47#400×C131C2211yescharacteristic
48#400×C131C2211yescharacteristic
49#400×C131C2211yescharacteristic
50#400×C131C2211yescharacteristic
51#400×C131C2211yescharacteristic
52#400×C131C2211yescharacteristic
53#400×C131C2211yescharacteristic
54#399×C131C2211yescharacteristic
55#398×C131C2211yescharacteristic
56#398×C131C2211yescharacteristic
57#398×C131C2211yescharacteristic
58#398×C131C2211yescharacteristic
59#398×C131C2211yescharacteristic
60#398×C131C2211yescharacteristic
61#398×C131C2211yescharacteristic
62#398×C131C2211yescharacteristic
63#398×C131C2211yescharacteristic
64#398×C131C2211yescharacteristic
65#398×C131C2211yescharacteristic
66#398×C131C2211yescharacteristic
67#397×C131C2211yescharacteristic
68#397×C131C2211yescharacteristic
69#397×C131C2211yescharacteristic
70#397×C131C2211yescharacteristic
71#397×C131C2211yescharacteristic
72#397×C131C2211yescharacteristic
73#397×C131C2211yescharacteristic
74#397×C131C2211yescharacteristic
75#397×C131C2211yescharacteristic
76#396×C131C2211yescharacteristic
77#396×C131C2211yescharacteristic
78#396×C131C2211yescharacteristic
79#395×C131C2211yescharacteristic
80#395×C131C2211yescharacteristic
81#395×C131C2211yescharacteristic
82#394×C131C2211yescharacteristic
83#394×C131C2211yescharacteristic
84#394×C131C2211yescharacteristic
85#394×C131C2211yescharacteristic
86#393×C131C2211yescharacteristic
87#393×C131C2211yescharacteristic
88#393×C131C2211yescharacteristic
89#391×C131C2211yescharacteristic
90#391×C131C2211yescharacteristic
91#391×C131C2211yescharacteristic
92#391×C131C2211yescharacteristic
93#391×C131C2211yescharacteristic
94#391×C131C2211yescharacteristic
95#391×C131C2211yescharacteristic
96#391×C131C2211yescharacteristic
97#391×C131C2211yescharacteristic
98#391×C131C2211yescharacteristic
99#389×C131C2211yescharacteristic
100#389×C131C2211yescharacteristic
101#389×C131C2211yescharacteristic
102#389×C131C2211yescharacteristic
103#389×C131C2211yescharacteristic
104#389×C131C2211yescharacteristic
105#389×C131C2211yescharacteristic
106#389×C131C2211yescharacteristic
107#389×C131C2211yescharacteristic
108#389×C131C2211yescharacteristic
109#388×C131C2211yescharacteristic
110#388×C131C2211yescharacteristic
111#388×C131C2211yescharacteristic
112#388×C131C2211yescharacteristic
113#388×C131C2211yescharacteristic
114#388×C131C2211yescharacteristic
115#388×C131C2211yescharacteristic
116#388×C131C2211yescharacteristic
117#388×C131C2211yescharacteristic
118#388×C131C2211yescharacteristic
119#388×C131C2211yescharacteristic
120#388×C131C2211yescharacteristic
121#388×C131C2211yescharacteristic
122#388×C131C2211yescharacteristic
123#388×C131C2211yescharacteristic
124#388×C131C2211yescharacteristic
125#388×C131C2211yescharacteristic
126#387×C131C2211yescharacteristic
127#387×C131C2211yescharacteristic
128#387×C131C2211yescharacteristic
129#387×C131C2211yescharacteristic
130#387×C131C2211yescharacteristic
131#387×C131C2211yescharacteristic
132#387×C131C2211yescharacteristic
133#387×C131C2211yescharacteristic
134#387×C131C2211yescharacteristic
135#387×C131C2211yescharacteristic
136#387×C131C2211yescharacteristic
137#387×C131C2211yescharacteristic
138#387×C131C2211yescharacteristic
139#387×C131C2211yescharacteristic
140#387×C131C2211yescharacteristic
141#387×C131C2211yescharacteristic
142#387×C131C2211yescharacteristic
143#387×C131C2211yescharacteristic
144#387×C131C2211yescharacteristic
145#387×C131C2211yescharacteristic
146#387×C131C2211yescharacteristic
147#387×C131C2211yescharacteristic
148#387×C131C2211yescharacteristic
149#387×C131C2211yescharacteristic
150#387×C131C2211yescharacteristic
151#387×C131C2211yescharacteristic
152#387×C131C2211yescharacteristic
153#387×C131C2211yescharacteristic
154#387×C131C2211yescharacteristic
155#387×C131C2211yescharacteristic
156#387×C131C2211yescharacteristic
157#387×C131C2211yescharacteristic
158#387×C131C2211yescharacteristic
159#386×C131C2211yescharacteristic
160#386×C131C2211yescharacteristic
161#385×C131C2211yescharacteristic
162#385×C131C2211yescharacteristic
163#385×C131C2211yescharacteristic
164#385×C131C2211yescharacteristic
165#385×C131C2211yescharacteristic
166#385×C131C2211yescharacteristic
167#385×C131C2211yescharacteristic
168#385×C131C2211yescharacteristic
169#384×C131C2211yescharacteristic
170#383×C131C2211yescharacteristic
171#382×C131C2211yescharacteristic
172#381×C131C2211yescharacteristic
173#381×C131C2211yescharacteristic
174#380×C131C2211yescharacteristic
175#380×C131C2211yescharacteristic
176#380×C131C2211yescharacteristic
177#380×C131C2211yescharacteristic
178#380×C131C2211yescharacteristic
179C4×C4⋊C4×C131C2211yescharacteristic
180C4×C4⋊C4×C131C2211yescharacteristic
181C4×C4⋊C4×C131C2211yescharacteristic
182C4×C4⋊C4×C131C2211yescharacteristic
183C4×C4⋊C4×C131C2211yescharacteristic
184C4×C22⋊C4×C131C2211yescharacteristic
185C4×C22⋊C4×C131C2211yescharacteristic
186#376×C131C2211yescharacteristic
187C22×Q8×C131C2311yescharacteristic
188C22×Q8×C131C2311yescharacteristic
189C22×Q8×C131C2311yescharacteristic
190C22×D4×C131C2311yescharacteristic
191C23×C4×C131C2311yescharacteristic
192C23×C4×C131C2311yescharacteristic
193C23×C4×C131C2311yescharacteristic
194C23×C4×C131C2311yescharacteristic
195C4⋊Q8×C131—42no—
196#126×C131—42no—
197#125×C131—42no—
198C22⋊Q8×C131—24no—
199C22⋊Q8×C131—24no—
200C22⋊Q8×C131—42no—
201C4×D4×C131—24no—
202#117×C131—42no—
203C2×C4⋊C4×C131C2311yescharacteristic
204C2×C4⋊C4×C131C2311yescharacteristic
205C2×C4⋊C4×C131C2311yescharacteristic
206C2×C4⋊C4×C131C2311yescharacteristic
207C2×C4⋊C4×C131C2311yescharacteristic
208C2×C4⋊C4×C131C2311yescharacteristic
209C2×C4⋊C4×C131C2311yescharacteristic
210C2×C4⋊C4×C131C2311yescharacteristic
211C2×C4⋊C4×C131C2311yescharacteristic
212C2×C4⋊C4×C131C2311yescharacteristic
213C2×C4⋊C4×C131C2311yescharacteristic
214C2×C4⋊C4×C131C2311yescharacteristic
215C2×C4⋊C4×C131C2311yescharacteristic
216C2×C4⋊C4×C131C2311yescharacteristic
217C2×C4⋊C4×C131C2311yescharacteristic
218C2×C4⋊C4×C131C2311yescharacteristic
219C2×C4⋊C4×C131C2311yescharacteristic
220C2×C4⋊C4×C131C2311yescharacteristic
221C2×C4⋊C4×C131C2311yescharacteristic
222C2×C4⋊C4×C131C2311yescharacteristic
223C2×C4⋊C4×C131C2311yescharacteristic
224C2×C4⋊C4×C131C2311yescharacteristic
225C2×C4⋊C4×C131C2311yescharacteristic
226C2×C4⋊C4×C131C2311yescharacteristic
227C2×C4⋊C4×C131C2311yescharacteristic
228C2×C4⋊C4×C131C2311yescharacteristic
229C2×C4⋊C4×C131C2311yescharacteristic
230C2×C4⋊C4×C131C2311yescharacteristic
231C2×C4⋊C4×C131C2311yescharacteristic
232C2×C4⋊C4×C131C2311yescharacteristic
233C2×C4⋊C4×C131C2311yescharacteristic
234C2×C4⋊C4×C131C2311yescharacteristic
235C2×C4⋊C4×C131C2311yescharacteristic
236C2×C4⋊C4×C131C2311yescharacteristic
237C2×C4⋊C4×C131C2311yescharacteristic
238C2×C4⋊C4×C131C2311yescharacteristic
239C2×C4⋊C4×C131C2311yescharacteristic
240C2×C4⋊C4×C131C2311yescharacteristic
241C2×C4⋊C4×C131C2311yescharacteristic
242C2×C4⋊C4×C131C2311yescharacteristic
243C2×C4⋊C4×C131C2311yescharacteristic
244C2×C4⋊C4×C131C2311yescharacteristic
245C2×C4⋊C4×C131C2311yescharacteristic
246C2×C4⋊C4×C131C2311yescharacteristic
247C2×C22⋊C4×C131C2311yescharacteristic
248C2×C22⋊C4×C131C2311yescharacteristic
249C2×C22⋊C4×C131C2311yescharacteristic
250C2×C22⋊C4×C131C2311yescharacteristic
251C2×C22⋊C4×C131C2311yescharacteristic
252C2×C22⋊C4×C131C2311yescharacteristic
253C2×C22⋊C4×C131C2311yescharacteristic
254C2×C22⋊C4×C131C2311yescharacteristic
255C2×C22⋊C4×C131C2311yescharacteristic
256C2×C22⋊C4×C131C2311yescharacteristic
257C2×C22⋊C4×C131C2311yescharacteristic
258C2×C22⋊C4×C131C2311yescharacteristic
259C2×C22⋊C4×C131C2311yescharacteristic
260C2×C22⋊C4×C131C2311yescharacteristic
261C2×C22⋊C4×C131C2311yescharacteristic
262C2×C22⋊C4×C131C2311yescharacteristic
263C2×C22⋊C4×C131C2311yescharacteristic
264C2×C22⋊C4×C131C2311yescharacteristic
265C2×C22⋊C4×C131C2311yescharacteristic
266C2×C22⋊C4×C131C2311yescharacteristic
267C2×C22⋊C4×C131C2311yescharacteristic
268C2×C22⋊C4×C131C2311yescharacteristic
269C2×C22⋊C4×C131C2311yescharacteristic
270C2×C22⋊C4×C131C2311yescharacteristic
271C2×C42×C131—42no—
272C2×C42×C131C2311yescharacteristic
273C2×C42×C131C2311yescharacteristic
274C2×C42×C131C2311yescharacteristic
275C2×C42×C131C2311yescharacteristic
276C2×C42×C131C2311yescharacteristic
277C2×C42×C131C2311yescharacteristic
278C2×C42×C131C2311yescharacteristic
279C2×C42×C131C2311yescharacteristic
280C2×C42×C131C2311yescharacteristic
281C2×C42×C131C2311yescharacteristic
282C2×C42×C131C2311yescharacteristic
283C2×C42×C131C2311yescharacteristic
284C2×C42×C131C2311yescharacteristic
285C2×C42×C131C2311yescharacteristic
286C2×C42×C131C2311yescharacteristic
287#95×C131C2311yescharacteristic
288#95×C131C2311yescharacteristic
289#95×C131C2311yescharacteristic
290#95×C131C2311yescharacteristic
291#95×C131C2311yescharacteristic
292#95×C131C2311yescharacteristic
293#95×C131C2311yescharacteristic
294#95×C131C2311yescharacteristic
295#95×C131C2311yescharacteristic
296#95×C131C2311yescharacteristic
297#95×C131C2311yescharacteristic
298#95×C131C2311yescharacteristic
299#95×C131C2311yescharacteristic
300#95×C131C2311yescharacteristic
301#95×C131C2311yescharacteristic
302#95×C131C2311yescharacteristic
303#95×C131C2311yescharacteristic
304#95×C131C2311yescharacteristic
305#95×C131C2311yescharacteristic
306#95×C131C2311yescharacteristic
307#95×C131C2311yescharacteristic
308#95×C131C2311yescharacteristic
309#95×C131C2311yescharacteristic
310#95×C131C2311yescharacteristic
311#95×C131C2311yescharacteristic
312#95×C131C2311yescharacteristic
313#95×C131C2311yescharacteristic
314#95×C131C2311yescharacteristic
315#95×C131C2311yescharacteristic
316#95×C131C2311yescharacteristic
317#95×C131C2311yescharacteristic
318#95×C131C2311yescharacteristic
319#95×C131C2311yescharacteristic
320#95×C131C2311yescharacteristic
321#95×C131C2311yescharacteristic
322#95×C131C2311yescharacteristic
323#95×C131C2311yescharacteristic
324#95×C131C2311yescharacteristic
325#95×C131C2311yescharacteristic
326#95×C131C2311yescharacteristic
327#95×C131C2311yescharacteristic
328#95×C131C2311yescharacteristic
329#95×C131C2311yescharacteristic
330#95×C131C2311yescharacteristic
331#95×C131C2311yescharacteristic
332#95×C131C2311yescharacteristic
333#95×C131C2311yescharacteristic
334#95×C131C2311yescharacteristic
335#95×C131C2311yescharacteristic
336#95×C131C2311yescharacteristic
337#95×C131C2311yescharacteristic
338#95×C131C2311yescharacteristic
339#95×C131C2311yescharacteristic
340#95×C131C2311yescharacteristic
341#95×C131C2311yescharacteristic
342#95×C131C2311yescharacteristic
343#95×C131C2311yescharacteristic
344#95×C131C2311yescharacteristic
345#95×C131C2311yescharacteristic
346#95×C131C2311yescharacteristic
347#95×C131C2311yescharacteristic
348#95×C131C2311yescharacteristic
349#95×C131C2311yescharacteristic
350#95×C131C2311yescharacteristic
351C24×C131C2411yescharacteristic
352C24×C131C2411yescharacteristic
353C2×Q8×C131—22no—
354C2×Q8×C131—22no—
355C2×Q8×C131—22no—
356C2×Q8×C131—41no—
357C2×Q8×C131—41no—
358C2×Q8×C131—41no—
359C2×Q8×C131—41no—
360C2×Q8×C131—41no—
361C2×Q8×C131—41no—
362C2×D4×C131—22no—
363C2×D4×C131—41no—
364C2×D4×C131—41no—
365C22×C4×C131—22no—
366C22×C4×C131—22no—
367C22×C4×C131—22no—
368C22×C4×C131—22no—
369C22×C4×C131—41no—
370C22×C4×C131—41no—
371C22×C4×C131—41no—
372C22×C4×C131—41no—
373C22×C4×C131—41no—
374C22×C4×C131—41no—
375C22×C4×C131—41no—
376C22×C4×C131#4114yes—
377C22×C4×C131C2411yescharacteristic
378C22×C4×C131C2411yescharacteristic
379C22×C4×C131C2411yescharacteristic
380C22×C4×C131C2411yescharacteristic
381C22×C4×C131C2411yescharacteristic
382C22×C4×C131C2411yescharacteristic
383C22×C4×C131C2411yescharacteristic
384C22×C4×C131C2411yescharacteristic
385C22×C4×C131C2411yescharacteristic
386C22×C4×C131C2411yescharacteristic
387C22×C4×C131C2411yescharacteristic
388C22×C4×C131C2411yescharacteristic
389C22×C4×C131C2411yescharacteristic
390C22×C4×C131C2411yescharacteristic
391C22×C4×C131C2411yescharacteristic
392C22×C4×C131C2411yescharacteristic
393C22×C4×C131C2411yescharacteristic
394C22×C4×C131C2411yescharacteristic
395C22×C4×C131C2411yescharacteristic
396C22×C4×C131C2411yescharacteristic
397C22×C4×C131C2411yescharacteristic
398C22×C4×C131C2411yescharacteristic
399C22×C4×C131C2411yescharacteristic
400C22×C4×C131C2411yescharacteristic
401C22×C4×C131C2411yescharacteristic
402C22×C4×C131C2411yescharacteristic
403C22×C4×C131C2411yescharacteristic
404C22×C4×C131C2411yescharacteristic
405C22×C4×C131C2411yescharacteristic
406C4⋊C4×C131—22no—
407C4⋊C4×C131—22no—
408C4⋊C4×C131—22no—
409C4⋊C4×C131—22no—
410C4⋊C4×C131—22no—
411C4⋊C4×C131—22no—
412C4⋊C4×C131—22no—
413C4⋊C4×C131—22no—
414C4⋊C4×C131—22no—
415C4⋊C4×C131—22no—
416C4⋊C4×C131—22no—
417C4⋊C4×C131—22no—
418C4⋊C4×C131—22no—
419C4⋊C4×C131—22no—
420C4⋊C4×C131—22no—
421C4⋊C4×C131—22no—
422C4⋊C4×C131—22no—
423C4⋊C4×C131—41no—
424C4⋊C4×C131—41no—
425C4⋊C4×C131—41no—
426C4⋊C4×C131—41no—
427C4⋊C4×C131—41no—
428C4⋊C4×C131—41no—
429C4⋊C4×C131—41no—
430C4⋊C4×C131—41no—
431C4⋊C4×C131—41no—
432C4⋊C4×C131—41no—
433C4⋊C4×C131—41no—
434C4⋊C4×C131—41no—
435C4⋊C4×C131—41no—
436C4⋊C4×C131—41no—
437C4⋊C4×C131—41no—
438C4⋊C4×C131—41no—
439C4⋊C4×C131—41no—
440C4⋊C4×C131—41no—
441C4⋊C4×C131—41no—
442C4⋊C4×C131—41no—
443C4⋊C4×C131—41no—
444C4⋊C4×C131—41no—
445C4⋊C4×C131—41no—
446C4⋊C4×C131—41no—
447C4⋊C4×C131—41no—
448C4⋊C4×C131—41no—
449C4⋊C4×C131—41no—
450C22⋊C4×C131—22no—
451C22⋊C4×C131—22no—
452C22⋊C4×C131—22no—
453C22⋊C4×C131—22no—
454C22⋊C4×C131—22no—
455C22⋊C4×C131—22no—
456C22⋊C4×C131—22no—
457C22⋊C4×C131—22no—
458C22⋊C4×C131—22no—
459C22⋊C4×C131—41no—
460C22⋊C4×C131—41no—
461C22⋊C4×C131—41no—
462C22⋊C4×C131—41no—
463C22⋊C4×C131—41no—
464C22⋊C4×C131—41no—
465C22⋊C4×C131—41no—
466C22⋊C4×C131—41no—
467C22⋊C4×C131—41no—
468C22⋊C4×C131—41no—
469C22⋊C4×C131—41no—
470C22⋊C4×C131—41no—
471C22⋊C4×C131—41no—
472C22⋊C4×C131—41no—
473C22⋊C4×C131—41no—
474C42×C131—22no—
475C42×C131—22no—
476C42×C131—22no—
477C42×C131—41no—
478C42×C131—41no—
479C42×C131—41no—
480C42×C131—41no—
481C42×C131—41no—
482C42×C131—41no—
483C42×C131—41no—
484C42×C131—41no—
485C42×C131—41no—
486C42×C131—41no—
487C42×C131—41no—
488C42×C131—41no—
489C23×C131—21no—
490C23×C131—21no—
491C23×C131—21no—
492C23×C131—21no—
493C23×C131—21no—
494C23×C131—21no—
495C23×C131—21no—
496C23×C131—21no—
497C23×C131—21no—
498C23×C131—21no—
499C23×C131—21no—
500C23×C131—21no—
501C23×C131—21no—
502C23×C131C2×#4112yes—
503C23×C131C2511yescharacteristic
504Q8×C131—82no—
505Q8×C131—82no—
506Q8×C131—82no—
507D4×C131—44no—
508C2×C4×C131—21no—
509C2×C4×C131—21no—
510C2×C4×C131—21no—
511C2×C4×C131—21no—
512C2×C4×C131—21no—
513C2×C4×C131—21no—
514C2×C4×C131—21no—
515C2×C4×C131—21no—
516C2×C4×C131—21no—
517C2×C4×C131—21no—
518C2×C4×C131—21no—
519C2×C4×C131—21no—
520C2×C4×C131—21no—
521C2×C4×C131—21no—
522C2×C4×C131—21no—
523C2×C4×C131—21no—
524C2×C4×C131—21no—
525C2×C4×C131—21no—
526C2×C4×C131—21no—
527C2×C4×C131—21no—
528C2×C4×C131—21no—
529C2×C4×C131—21no—
530C2×C4×C131—21no—
531C2×C4×C131—21no—
532C2×C4×C131—21no—
533C2×C4×C131—21no—
534C2×C4×C131—21no—
535C2×C4×C131—21no—
536C2×C4×C131—21no—
537C2×C4×C131—21no—
538C2×C4×C131—21no—
539C2×C4×C131—21no—
540C2×C4×C131—21no—
541C2×C4×C131—21no—
542C2×C4×C131—21no—
543C2×C4×C131—21no—
544C2×C4×C131—21no—
545C2×C4×C131—21no—
546C2×C4×C131—21no—
547C2×C4×C131—21no—
548C2×C4×C131—21no—
549C2×C4×C131—21no—
550C2×C4×C131—21no—
551C2×C4×C131—21no—
552C2×C4×C131—21no—
553C2×C4×C131—21no—
554C2×C4×C131—21no—
555C2×C4×C131—21no—
556C2×C4×C131—21no—
557C2×C4×C131—21no—
558C2×C4×C131—21no—
559C2×C4×C131—21no—
560C2×C4×C131—21no—
561C2×C4×C131—21no—
562C2×C4×C131—21no—
563C2×C4×C131—21no—
564C2×C4×C131—21no—
565C2×C4×C131—21no—
566C2×C4×C131—21no—
567C2×C4×C131—21no—
568C2×C4×C131—21no—
569C2×C4×C131—21no—
570C2×C4×C131—21no—
571C2×C4×C131—21no—
572C2×C4×C131—21no—
573C2×C4×C131—21no—
574C2×C4×C131—21no—
575C2×C4×C131—21no—
576C2×C4×C131—21no—
577C2×C4×C131—21no—
578C2×C4×C131—21no—
579C2×C4×C131—21no—
580C2×C4×C131—21no—
581C2×C4×C131—21no—
582C2×C4×C131—21no—
583C2×C4×C131—21no—
584C2×C4×C131—21no—
585C2×C4×C131—21no—
586C2×C4×C131—21no—
587C2×C4×C131—21no—
588C2×C4×C131—21no—
589C2×C4×C131—21no—
590C2×C4×C131—44no—
591C2×C4×C131—44no—
592C2×C4×C131—44no—
593C2×C4×C131—44no—
594C2×C4×C131C2×#4112yes—
595C2×C4×C131C2×#4112yes—
596C2×C4×C131H(5,𝔽2)12yes—
597C2×C4×C1312−1+412yes—
598C2×C4×C1312−1+412yes—
599C22×C131—22no—
600C22×C131—22no—
601C22×C131—22no—
602C22×C131—41no—
603C22×C131—41no—
604C22×C131—41no—
605C22×C131—41no—
606C22×C131—41no—
607C22×C131—41no—
608C22×C131—41no—
609C22×C131—41no—
610C22×C131—41no—
611C22×C131—41no—
612C22×C131—41no—
613C22×C131C22×#4111yescharacteristic
614C22×C131C2×H(5,𝔽2)11yescharacteristic
615C22×C131C2×2−1+411yescharacteristic
616C22×C131C2×2−1+411yescharacteristic
617C22×C131#58511yescharacteristic
618C22×C131#58511yescharacteristic
619C22×C131#58511yescharacteristic
620C4×C131—22no—
621C4×C131—22no—
622C4×C131—22no—
623C4×C131—22no—
624C4×C131—22no—
625C4×C131—41no—
626C4×C131—41no—
627C4×C131—41no—
628C4×C131—41no—
629C4×C131—41no—
630C4×C131—41no—
631C4×C131—41no—
632C4×C131—41no—
633C4×C131—41no—
634C4×C131—41no—
635C4×C131—41no—
636C4×C131—41no—
637C4×C131—41no—
638C4×C131—41no—
639C4×C131—41no—
640C4×C131—41no—
641C4×C131—41no—
642C4×C131—41no—
643C4×C131—41no—
644C4×C131—41no—
645C4×C131—41no—
646C4×C131—41no—
647C4×C131—41no—
648C4×C131—41no—
649C2×C131—42no—
650C2×C131—81no—
651C2×C131#345511yescharacteristic
652C2×C131#350511yescharacteristic
653C2×C131#350911yescharacteristic
654C2×C131#353511yescharacteristic
655C2×C131#354111yescharacteristic
656C2×C131#355711yescharacteristic
657C2×C131#356511yescharacteristic
658#36772C13111yesmaximal, characteristic, direct product factor, Sylow
659C131#3677211yescharacteristic, direct product factor, Sylow
660#2857C2×C13111yescharacteristic, complemented
661#2855C2×C13111yescharacteristic, complemented
662#2799C2×C13111yescharacteristic, complemented
663#2798C2×C13111yescharacteristic, complemented
664#2793C2×C13111yescharacteristic, complemented
665#2791C2×C13111yescharacteristic, complemented
666#2787C2×C13111yescharacteristic, complemented
667#2781C2×C13111yescharacteristic
668#2779C2×C13111yescharacteristic
669#2770C2×C13111yescharacteristic, complemented
670#2759C2×C13111yescharacteristic, complemented
671#2755C2×C13111yescharacteristic, complemented
672#2747C2×C13111yescharacteristic, complemented
673#2741C2×C13111yescharacteristic
674#2716C2×C13111yescharacteristic, complemented
675#2713C2×C13111yescharacteristic, complemented
676#2702C2×C13111yescharacteristic
677#2690C2×C13111yescharacteristic, complemented
678#2638C2×C13111yescharacteristic
679#2638C2×C13111yescharacteristic
680#2590C2×C13111yescharacteristic, complemented
681#2589C2×C13111yescharacteristic, complemented
682#2588C2×C13111yescharacteristic, complemented
683#2587C2×C13111yescharacteristic, complemented
684#2533C2×C13111yescharacteristic, complemented
685#2528C2×C13111yescharacteristic, complemented
686#2478C2×C13111yescharacteristic, complemented
687#2475C2×C13111yescharacteristic, complemented
688#2332C2×C13111yescharacteristic, complemented
689#2332C2×C13111yescharacteristic, complemented
690#2290C2×C13111yescharacteristic
691C2×C4⋊Q8C22×C13111yescharacteristic
692C2×#126C22×C13111yescharacteristic
693C2×#125C22×C13111yescharacteristic
694C2×C22⋊Q8C22×C13111yescharacteristic
695C2×C22⋊Q8C22×C13111yescharacteristic
696C2×C22⋊Q8C22×C13111yescharacteristic
697C2×C4×D4C22×C13111yescharacteristic
698C2×#117C22×C13111yescharacteristic
699C22×C42C22×C13111yescharacteristic
700#401C22×C13111yescharacteristic
701#400C22×C13111yescharacteristic
702#400C22×C13111yescharacteristic
703#400C22×C13111yescharacteristic
704#400C22×C13111yescharacteristic
705#400C22×C13111yescharacteristic
706#400C22×C13111yescharacteristic
707#400C22×C13111yescharacteristic
708#400C22×C13111yescharacteristic
709#400C22×C13111yescharacteristic
710#400C22×C13111yescharacteristic
711#400C22×C13111yescharacteristic
712#400C22×C13111yescharacteristic
713#399C22×C13111yescharacteristic
714#398C22×C13111yescharacteristic
715#398C22×C13111yescharacteristic
716#398C22×C13111yescharacteristic
717#398C22×C13111yescharacteristic
718#398C22×C13111yescharacteristic
719#398C22×C13111yescharacteristic
720#398C22×C13111yescharacteristic
721#398C22×C13111yescharacteristic
722#398C22×C13111yescharacteristic
723#398C22×C13111yescharacteristic
724#398C22×C13111yescharacteristic
725#398C22×C13111yescharacteristic
726#397C22×C13111yescharacteristic
727#397C22×C13111yescharacteristic
728#397C22×C13111yescharacteristic
729#397C22×C13111yescharacteristic
730#397C22×C13111yescharacteristic
731#397C22×C13111yescharacteristic
732#397C22×C13111yescharacteristic
733#397C22×C13111yescharacteristic
734#397C22×C13111yescharacteristic
735#396C22×C13111yescharacteristic
736#396C22×C13111yescharacteristic
737#396C22×C13111yescharacteristic
738#395C22×C13111yescharacteristic
739#395C22×C13111yescharacteristic
740#395C22×C13111yescharacteristic
741#394C22×C13111yescharacteristic
742#394C22×C13111yescharacteristic
743#394C22×C13111yescharacteristic
744#394C22×C13111yescharacteristic
745#393C22×C13111yescharacteristic
746#393C22×C13111yescharacteristic
747#393C22×C13111yescharacteristic
748#391C22×C13111yescharacteristic
749#391C22×C13111yescharacteristic
750#391C22×C13111yescharacteristic
751#391C22×C13111yescharacteristic
752#391C22×C13111yescharacteristic
753#391C22×C13111yescharacteristic
754#391C22×C13111yescharacteristic
755#391C22×C13111yescharacteristic
756#391C22×C13111yescharacteristic
757#391C22×C13111yescharacteristic
758#389C22×C13111yescharacteristic
759#389C22×C13111yescharacteristic
760#389C22×C13111yescharacteristic
761#389C22×C13111yescharacteristic
762#389C22×C13111yescharacteristic
763#389C22×C13111yescharacteristic
764#389C22×C13111yescharacteristic
765#389C22×C13111yescharacteristic
766#389C22×C13111yescharacteristic
767#389C22×C13111yescharacteristic
768#388C22×C13111yescharacteristic
769#388C22×C13111yescharacteristic
770#388C22×C13111yescharacteristic
771#388C22×C13111yescharacteristic
772#388C22×C13111yescharacteristic
773#388C22×C13111yescharacteristic
774#388C22×C13111yescharacteristic
775#388C22×C13111yescharacteristic
776#388C22×C13111yescharacteristic
777#388C22×C13111yescharacteristic
778#388C22×C13111yescharacteristic
779#388C22×C13111yescharacteristic
780#388C22×C13111yescharacteristic
781#388C22×C13111yescharacteristic
782#388C22×C13111yescharacteristic
783#388C22×C13111yescharacteristic
784#388C22×C13111yescharacteristic
785#387C22×C13111yescharacteristic
786#387C22×C13111yescharacteristic
787#387C22×C13111yescharacteristic
788#387C22×C13111yescharacteristic
789#387C22×C13111yescharacteristic
790#387C22×C13111yescharacteristic
791#387C22×C13111yescharacteristic
792#387C22×C13111yescharacteristic
793#387C22×C13111yescharacteristic
794#387C22×C13111yescharacteristic
795#387C22×C13111yescharacteristic
796#387C22×C13111yescharacteristic
797#387C22×C13111yescharacteristic
798#387C22×C13111yescharacteristic
799#387C22×C13111yescharacteristic
800#387C22×C13111yescharacteristic
801#387C22×C13111yescharacteristic
802#387C22×C13111yescharacteristic
803#387C22×C13111yescharacteristic
804#387C22×C13111yescharacteristic
805#387C22×C13111yescharacteristic
806#387C22×C13111yescharacteristic
807#387C22×C13111yescharacteristic
808#387C22×C13111yescharacteristic
809#387C22×C13111yescharacteristic
810#387C22×C13111yescharacteristic
811#387C22×C13111yescharacteristic
812#387C22×C13111yescharacteristic
813#387C22×C13111yescharacteristic
814#387C22×C13111yescharacteristic
815#387C22×C13111yescharacteristic
816#387C22×C13111yescharacteristic
817#387C22×C13111yescharacteristic
818#386C22×C13111yescharacteristic
819#386C22×C13111yescharacteristic
820#385C22×C13111yescharacteristic
821#385C22×C13111yescharacteristic
822#385C22×C13111yescharacteristic
823#385C22×C13111yescharacteristic
824#385C22×C13111yescharacteristic
825#385C22×C13111yescharacteristic
826#385C22×C13111yescharacteristic
827#385C22×C13111yescharacteristic
828#384C22×C13111yescharacteristic
829#383C22×C13111yescharacteristic
830#382C22×C13111yescharacteristic
831#381C22×C13111yescharacteristic
832#381C22×C13111yescharacteristic
833#380C22×C13111yescharacteristic
834#380C22×C13111yescharacteristic
835#380C22×C13111yescharacteristic
836#380C22×C13111yescharacteristic
837#380C22×C13111yescharacteristic
838C4×C4⋊C4C22×C13111yescharacteristic
839C4×C4⋊C4C22×C13111yescharacteristic
840C4×C4⋊C4C22×C13111yescharacteristic
841C4×C4⋊C4C22×C13111yescharacteristic
842C4×C4⋊C4C22×C13111yescharacteristic
843C4×C22⋊C4C22×C13111yescharacteristic
844C4×C22⋊C4C22×C13111yescharacteristic
845#376C22×C13111yescharacteristic
846C22×Q8C23×C13111yescharacteristic
847C22×Q8C23×C13111yescharacteristic
848C22×Q8C23×C13111yescharacteristic
849C22×D4C23×C13111yescharacteristic
850C23×C4C23×C13111yescharacteristic
851C23×C4C23×C13111yescharacteristic
852C23×C4C23×C13111yescharacteristic
853C23×C4C23×C13111yescharacteristic
854C4⋊Q8—42no—
855#126—42no—
856#125—42no—
857C22⋊Q8—24no—
858C22⋊Q8—24no—
859C22⋊Q8—42no—
860C4×D4—24no—
861#117—42no—
862C2×C4⋊C4C23×C13111yescharacteristic
863C2×C4⋊C4C23×C13111yescharacteristic
864C2×C4⋊C4C23×C13111yescharacteristic
865C2×C4⋊C4C23×C13111yescharacteristic
866C2×C4⋊C4C23×C13111yescharacteristic
867C2×C4⋊C4C23×C13111yescharacteristic
868C2×C4⋊C4C23×C13111yescharacteristic
869C2×C4⋊C4C23×C13111yescharacteristic
870C2×C4⋊C4C23×C13111yescharacteristic
871C2×C4⋊C4C23×C13111yescharacteristic
872C2×C4⋊C4C23×C13111yescharacteristic
873C2×C4⋊C4C23×C13111yescharacteristic
874C2×C4⋊C4C23×C13111yescharacteristic
875C2×C4⋊C4C23×C13111yescharacteristic
876C2×C4⋊C4C23×C13111yescharacteristic
877C2×C4⋊C4C23×C13111yescharacteristic
878C2×C4⋊C4C23×C13111yescharacteristic
879C2×C4⋊C4C23×C13111yescharacteristic
880C2×C4⋊C4C23×C13111yescharacteristic
881C2×C4⋊C4C23×C13111yescharacteristic
882C2×C4⋊C4C23×C13111yescharacteristic
883C2×C4⋊C4C23×C13111yescharacteristic
884C2×C4⋊C4C23×C13111yescharacteristic
885C2×C4⋊C4C23×C13111yescharacteristic
886C2×C4⋊C4C23×C13111yescharacteristic
887C2×C4⋊C4C23×C13111yescharacteristic
888C2×C4⋊C4C23×C13111yescharacteristic
889C2×C4⋊C4C23×C13111yescharacteristic
890C2×C4⋊C4C23×C13111yescharacteristic
891C2×C4⋊C4C23×C13111yescharacteristic
892C2×C4⋊C4C23×C13111yescharacteristic
893C2×C4⋊C4C23×C13111yescharacteristic
894C2×C4⋊C4C23×C13111yescharacteristic
895C2×C4⋊C4C23×C13111yescharacteristic
896C2×C4⋊C4C23×C13111yescharacteristic
897C2×C4⋊C4C23×C13111yescharacteristic
898C2×C4⋊C4C23×C13111yescharacteristic
899C2×C4⋊C4C23×C13111yescharacteristic
900C2×C4⋊C4C23×C13111yescharacteristic
901C2×C4⋊C4C23×C13111yescharacteristic
902C2×C4⋊C4C23×C13111yescharacteristic
903C2×C4⋊C4C23×C13111yescharacteristic
904C2×C4⋊C4C23×C13111yescharacteristic
905C2×C4⋊C4C23×C13111yescharacteristic
906C2×C22⋊C4C23×C13111yescharacteristic
907C2×C22⋊C4C23×C13111yescharacteristic
908C2×C22⋊C4C23×C13111yescharacteristic
909C2×C22⋊C4C23×C13111yescharacteristic
910C2×C22⋊C4C23×C13111yescharacteristic
911C2×C22⋊C4C23×C13111yescharacteristic
912C2×C22⋊C4C23×C13111yescharacteristic
913C2×C22⋊C4C23×C13111yescharacteristic
914C2×C22⋊C4C23×C13111yescharacteristic
915C2×C22⋊C4C23×C13111yescharacteristic
916C2×C22⋊C4C23×C13111yescharacteristic
917C2×C22⋊C4C23×C13111yescharacteristic
918C2×C22⋊C4C23×C13111yescharacteristic
919C2×C22⋊C4C23×C13111yescharacteristic
920C2×C22⋊C4C23×C13111yescharacteristic
921C2×C22⋊C4C23×C13111yescharacteristic
922C2×C22⋊C4C23×C13111yescharacteristic
923C2×C22⋊C4C23×C13111yescharacteristic
924C2×C22⋊C4C23×C13111yescharacteristic
925C2×C22⋊C4C23×C13111yescharacteristic
926C2×C22⋊C4C23×C13111yescharacteristic
927C2×C22⋊C4C23×C13111yescharacteristic
928C2×C22⋊C4C23×C13111yescharacteristic
929C2×C22⋊C4C23×C13111yescharacteristic
930C2×C42—42no—
931C2×C42C23×C13111yescharacteristic
932C2×C42C23×C13111yescharacteristic
933C2×C42C23×C13111yescharacteristic
934C2×C42C23×C13111yescharacteristic
935C2×C42C23×C13111yescharacteristic
936C2×C42C23×C13111yescharacteristic
937C2×C42C23×C13111yescharacteristic
938C2×C42C23×C13111yescharacteristic
939C2×C42C23×C13111yescharacteristic
940C2×C42C23×C13111yescharacteristic
941C2×C42C23×C13111yescharacteristic
942C2×C42C23×C13111yescharacteristic
943C2×C42C23×C13111yescharacteristic
944C2×C42C23×C13111yescharacteristic
945C2×C42C23×C13111yescharacteristic
946#95C23×C13111yescharacteristic
947#95C23×C13111yescharacteristic
948#95C23×C13111yescharacteristic
949#95C23×C13111yescharacteristic
950#95C23×C13111yescharacteristic
951#95C23×C13111yescharacteristic
952#95C23×C13111yescharacteristic
953#95C23×C13111yescharacteristic
954#95C23×C13111yescharacteristic
955#95C23×C13111yescharacteristic
956#95C23×C13111yescharacteristic
957#95C23×C13111yescharacteristic
958#95C23×C13111yescharacteristic
959#95C23×C13111yescharacteristic
960#95C23×C13111yescharacteristic
961#95C23×C13111yescharacteristic
962#95C23×C13111yescharacteristic
963#95C23×C13111yescharacteristic
964#95C23×C13111yescharacteristic
965#95C23×C13111yescharacteristic
966#95C23×C13111yescharacteristic
967#95C23×C13111yescharacteristic
968#95C23×C13111yescharacteristic
969#95C23×C13111yescharacteristic
970#95C23×C13111yescharacteristic
971#95C23×C13111yescharacteristic
972#95C23×C13111yescharacteristic
973#95C23×C13111yescharacteristic
974#95C23×C13111yescharacteristic
975#95C23×C13111yescharacteristic
976#95C23×C13111yescharacteristic
977#95C23×C13111yescharacteristic
978#95C23×C13111yescharacteristic
979#95C23×C13111yescharacteristic
980#95C23×C13111yescharacteristic
981#95C23×C13111yescharacteristic
982#95C23×C13111yescharacteristic
983#95C23×C13111yescharacteristic
984#95C23×C13111yescharacteristic
985#95C23×C13111yescharacteristic
986#95C23×C13111yescharacteristic
987#95C23×C13111yescharacteristic
988#95C23×C13111yescharacteristic
989#95C23×C13111yescharacteristic
990#95C23×C13111yescharacteristic
991#95C23×C13111yescharacteristic
992#95C23×C13111yescharacteristic
993#95C23×C13111yescharacteristic
994#95C23×C13111yescharacteristic
995#95C23×C13111yescharacteristic
996#95C23×C13111yescharacteristic
997#95C23×C13111yescharacteristic
998#95C23×C13111yescharacteristic
999#95C23×C13111yescharacteristic
1000#95C23×C13111yescharacteristic
1001#95C23×C13111yescharacteristic
1002#95C23×C13111yescharacteristic
1003#95C23×C13111yescharacteristic
1004#95C23×C13111yescharacteristic
1005#95C23×C13111yescharacteristic
1006#95C23×C13111yescharacteristic
1007#95C23×C13111yescharacteristic
1008#95C23×C13111yescharacteristic
1009#95C23×C13111yescharacteristic
1010C24C24×C13111yescharacteristic
1011C24C24×C13111yescharacteristic
1012C2×Q8—22no—
1013C2×Q8—22no—
1014C2×Q8—22no—
1015C2×Q8—41no—
1016C2×Q8—41no—
1017C2×Q8—41no—
1018C2×Q8—41no—
1019C2×Q8—41no—
1020C2×Q8—41no—
1021C2×D4—22no—
1022C2×D4—41no—
1023C2×D4—41no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—22no—
1027C22×C4—22no—
1028C22×C4—41no—
1029C22×C4—41no—
1030C22×C4—41no—
1031C22×C4—41no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—41no—
1035C22×C4#41×C13114yes—
1036C22×C4C24×C13111yescharacteristic
1037C22×C4C24×C13111yescharacteristic
1038C22×C4C24×C13111yescharacteristic
1039C22×C4C24×C13111yescharacteristic
1040C22×C4C24×C13111yescharacteristic
1041C22×C4C24×C13111yescharacteristic
1042C22×C4C24×C13111yescharacteristic
1043C22×C4C24×C13111yescharacteristic
1044C22×C4C24×C13111yescharacteristic
1045C22×C4C24×C13111yescharacteristic
1046C22×C4C24×C13111yescharacteristic
1047C22×C4C24×C13111yescharacteristic
1048C22×C4C24×C13111yescharacteristic
1049C22×C4C24×C13111yescharacteristic
1050C22×C4C24×C13111yescharacteristic
1051C22×C4C24×C13111yescharacteristic
1052C22×C4C24×C13111yescharacteristic
1053C22×C4C24×C13111yescharacteristic
1054C22×C4C24×C13111yescharacteristic
1055C22×C4C24×C13111yescharacteristic
1056C22×C4C24×C13111yescharacteristic
1057C22×C4C24×C13111yescharacteristic
1058C22×C4C24×C13111yescharacteristic
1059C22×C4C24×C13111yescharacteristic
1060C22×C4C24×C13111yescharacteristic
1061C22×C4C24×C13111yescharacteristic
1062C22×C4C24×C13111yescharacteristic
1063C22×C4C24×C13111yescharacteristic
1064C22×C4C24×C13111yescharacteristic
1065C4⋊C4—22no—
1066C4⋊C4—22no—
1067C4⋊C4—22no—
1068C4⋊C4—22no—
1069C4⋊C4—22no—
1070C4⋊C4—22no—
1071C4⋊C4—22no—
1072C4⋊C4—22no—
1073C4⋊C4—22no—
1074C4⋊C4—22no—
1075C4⋊C4—22no—
1076C4⋊C4—22no—
1077C4⋊C4—22no—
1078C4⋊C4—22no—
1079C4⋊C4—22no—
1080C4⋊C4—22no—
1081C4⋊C4—22no—
1082C4⋊C4—41no—
1083C4⋊C4—41no—
1084C4⋊C4—41no—
1085C4⋊C4—41no—
1086C4⋊C4—41no—
1087C4⋊C4—41no—
1088C4⋊C4—41no—
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—41no—
1092C4⋊C4—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—41no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—41no—
1102C4⋊C4—41no—
1103C4⋊C4—41no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—41no—
1109C22⋊C4—22no—
1110C22⋊C4—22no—
1111C22⋊C4—22no—
1112C22⋊C4—22no—
1113C22⋊C4—22no—
1114C22⋊C4—22no—
1115C22⋊C4—22no—
1116C22⋊C4—22no—
1117C22⋊C4—22no—
1118C22⋊C4—41no—
1119C22⋊C4—41no—
1120C22⋊C4—41no—
1121C22⋊C4—41no—
1122C22⋊C4—41no—
1123C22⋊C4—41no—
1124C22⋊C4—41no—
1125C22⋊C4—41no—
1126C22⋊C4—41no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C42—22no—
1134C42—22no—
1135C42—22no—
1136C42—41no—
1137C42—41no—
1138C42—41no—
1139C42—41no—
1140C42—41no—
1141C42—41no—
1142C42—41no—
1143C42—41no—
1144C42—41no—
1145C42—41no—
1146C42—41no—
1147C42—41no—
1148C23—21no—
1149C23—21no—
1150C23—21no—
1151C23—21no—
1152C23—21no—
1153C23—21no—
1154C23—21no—
1155C23—21no—
1156C23—21no—
1157C23—21no—
1158C23—21no—
1159C23—21no—
1160C23—21no—
1161C23C2×#41×C13112yes—
1162C23C25×C13111yescharacteristic
1163Q8—82no—
1164Q8—82no—
1165Q8—82no—
1166D4—44no—
1167C2×C4—21no—
1168C2×C4—21no—
1169C2×C4—21no—
1170C2×C4—21no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—21no—
1175C2×C4—21no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—21no—
1179C2×C4—21no—
1180C2×C4—21no—
1181C2×C4—21no—
1182C2×C4—21no—
1183C2×C4—21no—
1184C2×C4—21no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—21no—
1189C2×C4—21no—
1190C2×C4—21no—
1191C2×C4—21no—
1192C2×C4—21no—
1193C2×C4—21no—
1194C2×C4—21no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—44no—
1250C2×C4—44no—
1251C2×C4—44no—
1252C2×C4—44no—
1253C2×C4C2×#41×C13112yes—
1254C2×C4C2×#41×C13112yes—
1255C2×C4H(5,𝔽2)×C13112yes—
1256C2×C42−1+4×C13112yes—
1257C2×C42−1+4×C13112yes—
1258C22—22no—
1259C22—22no—
1260C22—22no—
1261C22—41no—
1262C22—41no—
1263C22—41no—
1264C22—41no—
1265C22—41no—
1266C22—41no—
1267C22—41no—
1268C22—41no—
1269C22—41no—
1270C22—41no—
1271C22—41no—
1272C22C22×#41×C13111yescharacteristic
1273C22C2×H(5,𝔽2)×C13111yescharacteristic
1274C22C2×2−1+4×C13111yescharacteristic
1275C22C2×2−1+4×C13111yescharacteristic
1276C22#585×C13111yescharacteristic
1277C22#585×C13111yescharacteristic
1278C22#585×C13111yescharacteristic
1279C4—22no—
1280C4—22no—
1281C4—22no—
1282C4—22no—
1283C4—22no—
1284C4—41no—
1285C4—41no—
1286C4—41no—
1287C4—41no—
1288C4—41no—
1289C4—41no—
1290C4—41no—
1291C4—41no—
1292C4—41no—
1293C4—41no—
1294C4—41no—
1295C4—41no—
1296C4—41no—
1297C4—41no—
1298C4—41no—
1299C4—41no—
1300C4—41no—
1301C4—41no—
1302C4—41no—
1303C4—41no—
1304C4—41no—
1305C4—41no—
1306C4—41no—
1307C4—41no—
1308C2—42no—
1309C2—81no—
1310C2#3455×C13111yescharacteristic
1311C2#3505×C13111yescharacteristic
1312C2#3509×C13111yescharacteristic
1313C2#3535×C13111yescharacteristic
1314C2#3541×C13111yescharacteristic
1315C2#3557×C13111yescharacteristic
1316C2#3565×C13111yescharacteristic
subgroupG/H
center, socleC23×C131C25
commutator, Frattini, cosocleC23C25×C131
prime radicalC22×D4×C131C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C131 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2857×C131C2semidirect
2. #2855×C131C2semidirect
3. #2799×C131C2semidirect
4. #2798×C131C2semidirect
5. #2793×C131C2semidirect
6. #2791×C131C2semidirect
7. #2787×C131C2semidirect
10. #2770×C131C2semidirect
11. #2759×C131C2semidirect
12. #2755×C131C2semidirect
13. #2747×C131C2semidirect
15. #2716×C131C2semidirect
16. #2713×C131C2semidirect
18. #2690×C131C2semidirect
21. #2590×C131C2semidirect
22. #2589×C131C2semidirect
23. #2588×C131C2semidirect
24. #2587×C131C2semidirect
25. #2533×C131C2semidirect
26. #2528×C131C2semidirect
27. #2478×C131C2semidirect
28. #2475×C131C2semidirect
29. #2332×C131C2semidirect
30. #2332×C131C2semidirect
658. #36772C131direct (N × H)
659. C131#36772direct (N × H)
660. #2857C2×C131semidirect
661. #2855C2×C131semidirect
662. #2799C2×C131semidirect
663. #2798C2×C131semidirect
664. #2793C2×C131semidirect
665. #2791C2×C131semidirect
666. #2787C2×C131semidirect
669. #2770C2×C131semidirect
670. #2759C2×C131semidirect
671. #2755C2×C131semidirect
672. #2747C2×C131semidirect
674. #2716C2×C131semidirect
675. #2713C2×C131semidirect
677. #2690C2×C131semidirect
680. #2590C2×C131semidirect
681. #2589C2×C131semidirect
682. #2588C2×C131semidirect
683. #2587C2×C131semidirect
684. #2533C2×C131semidirect
685. #2528C2×C131semidirect
686. #2478C2×C131semidirect
687. #2475C2×C131semidirect
688. #2332C2×C131semidirect
689. #2332C2×C131semidirect

Maximal subgroups

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

subgroupindex
#2857×C1312
#2855×C1312
#2799×C1312
#2798×C1312
#2793×C1312
#2791×C1312
#2787×C1312
#2781×C1312
#2779×C1312
#2770×C1312
#2759×C1312
#2755×C1312
#2747×C1312
#2741×C1312
#2716×C1312
#2713×C1312
#2702×C1312
#2690×C1312
#2638×C1312
#2590×C1312
#2589×C1312
#2588×C1312
#2587×C1312
#2533×C1312
#2528×C1312
#2478×C1312
#2475×C1312
#2332×C1312
#2290×C1312
#36772131