Finite Group Databasebeta

← C131×#36777 #45722661

Subgroups — C131×#36777 #45722661

Order 33536.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2849×C131C211yesmaximal, characteristic, complemented
2#2847×C131C211yesmaximal, characteristic, complemented
3#2780×C131C211yesmaximal, characteristic, complemented
4#2780×C131C211yesmaximal, characteristic, complemented
5#2768×C131C211yesmaximal, characteristic, complemented
6#2761×C131C211yesmaximal, characteristic, complemented
7#2753×C131C211yesmaximal, characteristic, complemented
8#2749×C131C211yesmaximal, characteristic, complemented
9#2748×C131C211yesmaximal, characteristic, complemented
10#2743×C131C211yesmaximal, characteristic, complemented
11#2738×C131C211yesmaximal, characteristic, complemented
12#2711×C131C211yesmaximal, characteristic, complemented
13#2707×C131C211yesmaximal, characteristic, complemented
14#2706×C131C211yesmaximal, characteristic, complemented
15#2701×C131C211yesmaximal, characteristic, complemented
16#2701×C131C211yesmaximal, characteristic, complemented
17#2688×C131C211yesmaximal, characteristic, complemented
18#2671×C131C211yesmaximal, characteristic, complemented
19#2623×C131C211yesmaximal, characteristic, complemented
20#2618×C131C211yesmaximal, characteristic, complemented
21#2539×C131C211yesmaximal, characteristic, complemented
22#2534×C131C211yesmaximal, characteristic, complemented
23#2442×C131C211yesmaximal, characteristic, complemented
24#2425×C131C211yesmaximal, characteristic, complemented
25#2424×C131C211yesmaximal, characteristic, complemented
26#2419×C131C211yesmaximal, characteristic, complemented
27#2418×C131C211yesmaximal, characteristic, complemented
28#2416×C131C211yesmaximal, characteristic, complemented
29#2325×C131C211yesmaximal, characteristic, complemented
30#2318×C131C211yesmaximal, characteristic, complemented
31C2×#385×C131C211yesmaximal, characteristic, complemented
32C24×C4×C131C2211yescharacteristic
33C2×#125×C131C2211yescharacteristic, complemented
34C2×#123×C131C2211yescharacteristic
35C2×#123×C131C2211yescharacteristic
36C2×#123×C131C2211yescharacteristic
37C2×#123×C131C2211yescharacteristic
38C2×#123×C131C2211yescharacteristic
39C2×#123×C131C2211yescharacteristic
40C2×#121×C131C2211yescharacteristic
41C2×#121×C131C2211yescharacteristic
42C2×#121×C131C2211yescharacteristic
43C2×#121×C131C2211yescharacteristic
44C2×#121×C131C2211yescharacteristic
45C2×#121×C131C2211yescharacteristic
46C2×#121×C131C2211yescharacteristic, complemented
47C2×#120×C131C2211yescharacteristic
48C2×#120×C131C2211yescharacteristic
49C2×#120×C131C2211yescharacteristic
50C2×C4×D4×C131C2211yescharacteristic
51C2×C4×D4×C131C2211yescharacteristic
52C2×C4×D4×C131C2211yescharacteristic
53C22×C4⋊C4×C131C2211yescharacteristic
54C22×C4⋊C4×C131C2211yescharacteristic
55C22×C22⋊C4×C131C2211yescharacteristic
56C22×C22⋊C4×C131C2211yescharacteristic
57#400×C131C2211yescharacteristic, complemented
58#400×C131C2211yescharacteristic, complemented
59#400×C131C2211yescharacteristic, complemented
60#400×C131C2211yescharacteristic, complemented
61#400×C131C2211yescharacteristic, complemented
62#399×C131C2211yescharacteristic
63#399×C131C2211yescharacteristic
64#399×C131C2211yescharacteristic
65#399×C131C2211yescharacteristic, complemented
66#399×C131C2211yescharacteristic, complemented
67#398×C131C2211yescharacteristic, complemented
68#398×C131C2211yescharacteristic, complemented
69#398×C131C2211yescharacteristic, complemented
70#398×C131C2211yescharacteristic, complemented
71#398×C131C2211yescharacteristic, complemented
72#398×C131C2211yescharacteristic, complemented
73#398×C131C2211yescharacteristic, complemented
74#398×C131C2211yescharacteristic, complemented
75#397×C131C2211yescharacteristic
76#397×C131C2211yescharacteristic, complemented
77#397×C131C2211yescharacteristic, complemented
78#397×C131C2211yescharacteristic, complemented
79#397×C131C2211yescharacteristic, complemented
80#397×C131C2211yescharacteristic, complemented
81#396×C131C2211yescharacteristic
82#396×C131C2211yescharacteristic
83#396×C131C2211yescharacteristic
84#396×C131C2211yescharacteristic, complemented
85#396×C131C2211yescharacteristic, complemented
86#396×C131C2211yescharacteristic, complemented
87#396×C131C2211yescharacteristic, complemented
88#396×C131C2211yescharacteristic, complemented
89#396×C131C2211yescharacteristic, complemented
90#396×C131C2211yescharacteristic, complemented
91#394×C131C2211yescharacteristic
92#394×C131C2211yescharacteristic
93#394×C131C2211yescharacteristic
94#394×C131C2211yescharacteristic
95#394×C131C2211yescharacteristic
96#394×C131C2211yescharacteristic
97#394×C131C2211yescharacteristic, complemented
98#394×C131C2211yescharacteristic, complemented
99#394×C131C2211yescharacteristic, complemented
100#394×C131C2211yescharacteristic, complemented
101#394×C131C2211yescharacteristic, complemented
102#392×C131C2211yescharacteristic
103#392×C131C2211yescharacteristic
104#392×C131C2211yescharacteristic
105#390×C131C2211yescharacteristic
106#390×C131C2211yescharacteristic
107#390×C131C2211yescharacteristic
108#390×C131C2211yescharacteristic
109#390×C131C2211yescharacteristic
110#390×C131C2211yescharacteristic, complemented
111#389×C131C2211yescharacteristic, complemented
112#389×C131C2211yescharacteristic, complemented
113#389×C131C2211yescharacteristic, complemented
114#389×C131C2211yescharacteristic, complemented
115#388×C131C2211yescharacteristic
116#388×C131C2211yescharacteristic
117#388×C131C2211yescharacteristic
118#388×C131C2211yescharacteristic
119#388×C131C2211yescharacteristic
120#388×C131C2211yescharacteristic, complemented
121#388×C131C2211yescharacteristic, complemented
122#388×C131C2211yescharacteristic, complemented
123#388×C131C2211yescharacteristic, complemented
124#388×C131C2211yescharacteristic, complemented
125#387×C131C2211yescharacteristic, complemented
126#387×C131C2211yescharacteristic, complemented
127#387×C131C2211yescharacteristic, complemented
128#387×C131C2211yescharacteristic, complemented
129#387×C131C2211yescharacteristic, complemented
130#387×C131C2211yescharacteristic, complemented
131#386×C131C2211yescharacteristic
132#386×C131C2211yescharacteristic
133#386×C131C2211yescharacteristic
134#386×C131C2211yescharacteristic
135#386×C131C2211yescharacteristic
136#386×C131C2211yescharacteristic
137#386×C131C2211yescharacteristic
138#386×C131C2211yescharacteristic
139#386×C131C2211yescharacteristic
140#386×C131C2211yescharacteristic
141#386×C131C2211yescharacteristic
142#386×C131C2211yescharacteristic
143#386×C131C2211yescharacteristic
144#386×C131C2211yescharacteristic
145#386×C131C2211yescharacteristic
146#386×C131C2211yescharacteristic
147#386×C131C2211yescharacteristic, complemented
148#386×C131C2211yescharacteristic, complemented
149#386×C131C2211yescharacteristic, complemented
150#385×C131C2211yescharacteristic
151#385×C131C2211yescharacteristic
152#385×C131C2211yescharacteristic
153#385×C131C2211yescharacteristic
154#385×C131C2211yescharacteristic
155#385×C131C2211yescharacteristic
156#385×C131C2211yescharacteristic
157#385×C131C2211yescharacteristic
158#385×C131C2211yescharacteristic
159#385×C131C2211yescharacteristic
160#385×C131C2211yescharacteristic
161#385×C131C2211yescharacteristic
162#385×C131C2211yescharacteristic
163#385×C131C2211yescharacteristic
164#385×C131C2211yescharacteristic, complemented
165#385×C131C2211yescharacteristic, complemented
166#385×C131C2211yescharacteristic, complemented
167#383×C131C2211yescharacteristic, complemented
168#382×C131C2211yescharacteristic, complemented
169#382×C131C2211yescharacteristic, complemented
170#381×C131C2211yescharacteristic
171#381×C131C2211yescharacteristic
172#381×C131C2211yescharacteristic
173#381×C131C2211yescharacteristic, complemented
174#381×C131C2211yescharacteristic, complemented
175#380×C131C2211yescharacteristic
176#380×C131C2211yescharacteristic
177#380×C131C2211yescharacteristic
178#380×C131C2211yescharacteristic
179#380×C131C2211yescharacteristic
180#380×C131C2211yescharacteristic, complemented
181#380×C131C2211yescharacteristic, complemented
182#380×C131C2211yescharacteristic, complemented
183#379×C131C2211yescharacteristic
184C4×C22⋊C4×C131C2211yescharacteristic
185C2×#95×C131C2211yescharacteristic
186C2×#95×C131C2211yescharacteristic
187C25×C131C2311yescharacteristic
188C22×D4×C131C2311yescharacteristic
189C22×D4×C131C2311yescharacteristic
190C22×D4×C131C2311yescharacteristic
191C22×D4×C131C2311yescharacteristic
192C22×D4×C131C2311yescharacteristic
193C22×D4×C131C2311yescharacteristic
194C22×D4×C131C2311yescharacteristic
195C22×D4×C131C2311yescharacteristic
196C22×D4×C131C2311yescharacteristic
197C22×D4×C131C2311yescharacteristic
198C22×D4×C131C2311yescharacteristic
199C22×D4×C131C2311yescharacteristic
200C23×C4×C131—42no—
201C23×C4×C131—42no—
202C23×C4×C131—42no—
203C23×C4×C131C2311yescharacteristic
204C23×C4×C131C2311yescharacteristic
205C23×C4×C131C2311yescharacteristic
206C23×C4×C131C2311yescharacteristic
207C23×C4×C131C2311yescharacteristic
208C23×C4×C131C2311yescharacteristic
209C23×C4×C131C2311yescharacteristic
210C23×C4×C131C2311yescharacteristic
211C23×C4×C131C2311yescharacteristic
212C23×C4×C131C2311yescharacteristic
213C23×C4×C131C2311yescharacteristic
214C23×C4×C131C2311yescharacteristic
215C23×C4×C131C2311yescharacteristic
216#125×C131—42no—
217#123×C131—42no—
218#123×C131—42no—
219#123×C131—42no—
220#123×C131—42no—
221#123×C131—42no—
222#123×C131—42no—
223#121×C131—24no—
224#121×C131—42no—
225#121×C131—42no—
226#121×C131—42no—
227#121×C131—42no—
228#121×C131—42no—
229#121×C131—42no—
230#120×C131—42no—
231#120×C131—42no—
232#120×C131—42no—
233C4×D4×C131—24no—
234C4×D4×C131—42no—
235C4×D4×C131—42no—
236C2×C4⋊C4×C131—42no—
237C2×C4⋊C4×C131—42no—
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×C4⋊C4×C131C2311yescharacteristic
248C2×C4⋊C4×C131C2311yescharacteristic
249C2×C4⋊C4×C131C2311yescharacteristic
250C2×C4⋊C4×C131C2311yescharacteristic
251C2×C4⋊C4×C131C2311yescharacteristic
252C2×C4⋊C4×C131C2311yescharacteristic
253C2×C4⋊C4×C131C2311yescharacteristic
254C2×C4⋊C4×C131C2311yescharacteristic
255C2×C4⋊C4×C131C2311yescharacteristic
256C2×C4⋊C4×C131C2311yescharacteristic
257C2×C4⋊C4×C131C2311yescharacteristic
258C2×C4⋊C4×C131C2311yescharacteristic
259C2×C4⋊C4×C131C2311yescharacteristic
260C2×C4⋊C4×C131C2311yescharacteristic
261C2×C4⋊C4×C131C2311yescharacteristic
262C2×C4⋊C4×C131C2311yescharacteristic
263C2×C4⋊C4×C131C2311yescharacteristic
264C2×C4⋊C4×C131C2311yescharacteristic
265C2×C4⋊C4×C131C2311yescharacteristic
266C2×C4⋊C4×C131C2311yescharacteristic
267C2×C4⋊C4×C131C2311yescharacteristic
268C2×C4⋊C4×C131C2311yescharacteristic
269C2×C4⋊C4×C131C2311yescharacteristic
270C2×C4⋊C4×C131C2311yescharacteristic
271C2×C4⋊C4×C131C2311yescharacteristic
272C2×C22⋊C4×C131—24no—
273C2×C22⋊C4×C131—42no—
274C2×C22⋊C4×C131C2311yescharacteristic
275C2×C22⋊C4×C131C2311yescharacteristic
276C2×C22⋊C4×C131C2311yescharacteristic
277C2×C22⋊C4×C131C2311yescharacteristic
278C2×C22⋊C4×C131C2311yescharacteristic
279C2×C22⋊C4×C131C2311yescharacteristic
280C2×C22⋊C4×C131C2311yescharacteristic
281C2×C22⋊C4×C131C2311yescharacteristic
282C2×C22⋊C4×C131C2311yescharacteristic
283C2×C22⋊C4×C131C2311yescharacteristic
284C2×C22⋊C4×C131C2311yescharacteristic
285C2×C22⋊C4×C131C2311yescharacteristic
286C2×C22⋊C4×C131C2311yescharacteristic
287C2×C22⋊C4×C131C2311yescharacteristic
288C2×C22⋊C4×C131C2311yescharacteristic
289C2×C22⋊C4×C131C2311yescharacteristic
290C2×C22⋊C4×C131C2311yescharacteristic
291C2×C22⋊C4×C131C2311yescharacteristic
292C2×C22⋊C4×C131C2311yescharacteristic
293C2×C22⋊C4×C131C2311yescharacteristic
294C2×C22⋊C4×C131C2311yescharacteristic
295C2×C22⋊C4×C131C2311yescharacteristic
296C2×C22⋊C4×C131C2311yescharacteristic
297C2×C22⋊C4×C131C2311yescharacteristic
298C2×C22⋊C4×C131C2311yescharacteristic
299C2×C22⋊C4×C131C2311yescharacteristic
300C2×C22⋊C4×C131C2311yescharacteristic
301C2×C22⋊C4×C131C2311yescharacteristic
302C2×C22⋊C4×C131C2311yescharacteristic
303C2×C22⋊C4×C131C2311yescharacteristic
304C2×C22⋊C4×C131C2311yescharacteristic
305C2×C22⋊C4×C131C2311yescharacteristic
306C2×C22⋊C4×C131C2311yescharacteristic
307C2×C22⋊C4×C131C2311yescharacteristic
308C2×C22⋊C4×C131C2311yescharacteristic
309C2×C22⋊C4×C131C2311yescharacteristic
310C2×C22⋊C4×C131C2311yescharacteristic
311C2×C22⋊C4×C131C2311yescharacteristic
312C2×C22⋊C4×C131C2311yescharacteristic
313C2×C22⋊C4×C131C2311yescharacteristic
314C2×C22⋊C4×C131C2311yescharacteristic
315C2×C22⋊C4×C131C2311yescharacteristic
316C2×C22⋊C4×C131C2311yescharacteristic
317C2×C22⋊C4×C131C2311yescharacteristic
318C2×C22⋊C4×C131C2311yescharacteristic
319C2×C22⋊C4×C131C2311yescharacteristic
320C2×C22⋊C4×C131C2311yescharacteristic
321C2×C22⋊C4×C131C2311yescharacteristic
322C2×C22⋊C4×C131C2311yescharacteristic
323C2×C22⋊C4×C131C2311yescharacteristic
324C2×C42×C131C2311yescharacteristic
325C2×C42×C131C2311yescharacteristic
326C2×C42×C131C2311yescharacteristic
327C2×C42×C131C2311yescharacteristic
328C2×C42×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
351#95×C131C2311yescharacteristic
352#95×C131C2311yescharacteristic
353#95×C131C2311yescharacteristic
354#95×C131C2311yescharacteristic
355#95×C131C2311yescharacteristic
356#95×C131C2311yescharacteristic
357#95×C131C2311yescharacteristic
358#95×C131C2311yescharacteristic
359#95×C131C2311yescharacteristic
360#95×C131C2311yescharacteristic
361#95×C131C2311yescharacteristic
362#95×C131C2311yescharacteristic
363#95×C131C2311yescharacteristic
364#95×C131C2311yescharacteristic
365#95×C131C2311yescharacteristic
366#95×C131C2311yescharacteristic
367#95×C131C2311yescharacteristic
368#95×C131C2311yescharacteristic
369C24×C131—22no—
370C24×C131—22no—
371C24×C131—22no—
372C24×C131—22no—
373C24×C131—22no—
374C24×C131—41no—
375C24×C131—41no—
376C24×C131C2411yescharacteristic
377C24×C131C2411yescharacteristic
378C24×C131C2411yescharacteristic
379C24×C131C2411yescharacteristic
380C24×C131C2411yescharacteristic
381C24×C131C2411yescharacteristic
382C2×D4×C131—22no—
383C2×D4×C131—22no—
384C2×D4×C131—22no—
385C2×D4×C131—22no—
386C2×D4×C131—22no—
387C2×D4×C131—22no—
388C2×D4×C131—22no—
389C2×D4×C131—22no—
390C2×D4×C131—22no—
391C2×D4×C131—22no—
392C2×D4×C131—22no—
393C2×D4×C131—22no—
394C2×D4×C131—22no—
395C2×D4×C131—22no—
396C2×D4×C131—22no—
397C2×D4×C131—22no—
398C2×D4×C131—22no—
399C2×D4×C131—41no—
400C2×D4×C131—41no—
401C2×D4×C131—41no—
402C2×D4×C131—41no—
403C2×D4×C131—41no—
404C2×D4×C131—41no—
405C2×D4×C131—41no—
406C2×D4×C131—41no—
407C2×D4×C131—41no—
408C2×D4×C131—41no—
409C2×D4×C131—41no—
410C2×D4×C131—41no—
411C2×D4×C131—41no—
412C2×D4×C131—41no—
413C2×D4×C131—41no—
414C2×D4×C131—41no—
415C2×D4×C131—41no—
416C2×D4×C131—41no—
417C2×D4×C131—41no—
418C22×C4×C131—22no—
419C22×C4×C131—22no—
420C22×C4×C131—22no—
421C22×C4×C131—22no—
422C22×C4×C131—22no—
423C22×C4×C131—22no—
424C22×C4×C131—22no—
425C22×C4×C131—22no—
426C22×C4×C131—22no—
427C22×C4×C131—22no—
428C22×C4×C131—22no—
429C22×C4×C131—22no—
430C22×C4×C131—22no—
431C22×C4×C131—41no—
432C22×C4×C131—41no—
433C22×C4×C131—41no—
434C22×C4×C131—41no—
435C22×C4×C131—41no—
436C22×C4×C131—41no—
437C22×C4×C131—41no—
438C22×C4×C131—41no—
439C22×C4×C131—41no—
440C22×C4×C131—41no—
441C22×C4×C131—41no—
442C22×C4×C131—41no—
443C22×C4×C131—41no—
444C22×C4×C131—41no—
445C22×C4×C131—41no—
446C22×C4×C131—41no—
447C22×C4×C131—41no—
448C22×C4×C131—41no—
449C22×C4×C131—41no—
450C22×C4×C131—41no—
451C22×C4×C131—41no—
452C22×C4×C131—41no—
453C22×C4×C131—41no—
454C22×C4×C131—41no—
455C22×C4×C131—41no—
456C22×C4×C131—416no—
457C22×C4×C131#4114yes—
458C22×C4×C131C2411yescharacteristic
459C22×C4×C131C2411yescharacteristic
460C22×C4×C131C2411yescharacteristic
461C22×C4×C131C2411yescharacteristic
462C22×C4×C131C2411yescharacteristic
463C22×C4×C131C2411yescharacteristic
464C22×C4×C131C2411yescharacteristic
465C22×C4×C131C2411yescharacteristic
466C22×C4×C131C2411yescharacteristic
467C22×C4×C131C2411yescharacteristic
468C22×C4×C131C2411yescharacteristic
469C22×C4×C131C2411yescharacteristic
470C22×C4×C131C2411yescharacteristic
471C22×C4×C131C2411yescharacteristic
472C22×C4×C131C2411yescharacteristic
473C22×C4×C131C2411yescharacteristic
474C22×C4×C131C2411yescharacteristic
475C22×C4×C131C2411yescharacteristic
476C22×C4×C131C2411yescharacteristic
477C22×C4×C131C2411yescharacteristic
478C22×C4×C131C2411yescharacteristic
479C22×C4×C131C2411yescharacteristic
480C22×C4×C131C2411yescharacteristic
481C22×C4×C131C2411yescharacteristic
482C22×C4×C131C2411yescharacteristic
483C4⋊C4×C131—22no—
484C4⋊C4×C131—22no—
485C4⋊C4×C131—22no—
486C4⋊C4×C131—22no—
487C4⋊C4×C131—22no—
488C4⋊C4×C131—22no—
489C4⋊C4×C131—41no—
490C4⋊C4×C131—41no—
491C4⋊C4×C131—41no—
492C4⋊C4×C131—41no—
493C4⋊C4×C131—41no—
494C4⋊C4×C131—41no—
495C4⋊C4×C131—41no—
496C4⋊C4×C131—41no—
497C4⋊C4×C131—41no—
498C4⋊C4×C131—41no—
499C4⋊C4×C131—41no—
500C4⋊C4×C131—41no—
501C4⋊C4×C131—41no—
502C4⋊C4×C131—41no—
503C4⋊C4×C131—41no—
504C4⋊C4×C131—41no—
505C4⋊C4×C131—41no—
506C4⋊C4×C131—41no—
507C4⋊C4×C131—41no—
508C4⋊C4×C131—41no—
509C4⋊C4×C131—41no—
510C4⋊C4×C131—41no—
511C4⋊C4×C131—41no—
512C4⋊C4×C131—41no—
513C4⋊C4×C131—41no—
514C4⋊C4×C131—41no—
515C4⋊C4×C131—41no—
516C4⋊C4×C131—41no—
517C22⋊C4×C131—22no—
518C22⋊C4×C131—22no—
519C22⋊C4×C131—22no—
520C22⋊C4×C131—22no—
521C22⋊C4×C131—22no—
522C22⋊C4×C131—22no—
523C22⋊C4×C131—22no—
524C22⋊C4×C131—22no—
525C22⋊C4×C131—22no—
526C22⋊C4×C131—22no—
527C22⋊C4×C131—22no—
528C22⋊C4×C131—22no—
529C22⋊C4×C131—22no—
530C22⋊C4×C131—22no—
531C22⋊C4×C131—22no—
532C22⋊C4×C131—22no—
533C22⋊C4×C131—22no—
534C22⋊C4×C131—41no—
535C22⋊C4×C131—41no—
536C22⋊C4×C131—41no—
537C22⋊C4×C131—41no—
538C22⋊C4×C131—41no—
539C22⋊C4×C131—41no—
540C22⋊C4×C131—41no—
541C22⋊C4×C131—41no—
542C22⋊C4×C131—41no—
543C22⋊C4×C131—41no—
544C22⋊C4×C131—41no—
545C22⋊C4×C131—41no—
546C22⋊C4×C131—41no—
547C22⋊C4×C131—41no—
548C22⋊C4×C131—41no—
549C22⋊C4×C131—41no—
550C22⋊C4×C131—41no—
551C22⋊C4×C131—41no—
552C22⋊C4×C131—41no—
553C22⋊C4×C131—41no—
554C22⋊C4×C131—41no—
555C22⋊C4×C131—41no—
556C22⋊C4×C131—41no—
557C22⋊C4×C131—41no—
558C22⋊C4×C131—41no—
559C22⋊C4×C131—41no—
560C22⋊C4×C131—41no—
561C22⋊C4×C131—41no—
562C22⋊C4×C131—41no—
563C22⋊C4×C131—41no—
564C22⋊C4×C131—41no—
565C22⋊C4×C131—41no—
566C22⋊C4×C131—41no—
567C42×C131—22no—
568C42×C131—41no—
569C42×C131—41no—
570C42×C131—41no—
571C42×C131—41no—
572C23×C131—21no—
573C23×C131—21no—
574C23×C131—21no—
575C23×C131—21no—
576C23×C131—28no—
577C23×C131—21no—
578C23×C131—21no—
579C23×C131—21no—
580C23×C131—21no—
581C23×C131—21no—
582C23×C131—21no—
583C23×C131—21no—
584C23×C131—21no—
585C23×C131—21no—
586C23×C131—21no—
587C23×C131—21no—
588C23×C131—21no—
589C23×C131—21no—
590C23×C131—21no—
591C23×C131—21no—
592C23×C131—21no—
593C23×C131—21no—
594C23×C131—21no—
595C23×C131—21no—
596C23×C131—21no—
597C23×C131—21no—
598C23×C131—21no—
599C23×C131—21no—
600C23×C131—21no—
601C23×C131—21no—
602C23×C131—21no—
603C23×C131—21no—
604C23×C131—21no—
605C23×C131—21no—
606C23×C131—21no—
607C23×C131—21no—
608C23×C131—21no—
609C23×C131—21no—
610C23×C131—44no—
611C23×C131—44no—
612C23×C131—44no—
613C23×C131—44no—
614C23×C131—44no—
615C23×C131—44no—
616C23×C131C2×#4112yes—
617C23×C131H(5,𝔽2)12yes—
618C23×C131H(5,𝔽2)12yes—
619C23×C131H(5,𝔽2)12yes—
620C23×C1312−1+412yes—
621C23×C131C2511yescharacteristic
622D4×C131—44no—
623D4×C131—44no—
624D4×C131—44no—
625D4×C131—82no—
626D4×C131—82no—
627D4×C131—82no—
628D4×C131—82no—
629D4×C131—82no—
630D4×C131—82no—
631D4×C131—82no—
632D4×C131—82no—
633D4×C131—82no—
634C2×C4×C131—21no—
635C2×C4×C131—21no—
636C2×C4×C131—21no—
637C2×C4×C131—21no—
638C2×C4×C131—21no—
639C2×C4×C131—21no—
640C2×C4×C131—21no—
641C2×C4×C131—21no—
642C2×C4×C131—21no—
643C2×C4×C131—21no—
644C2×C4×C131—21no—
645C2×C4×C131—21no—
646C2×C4×C131—21no—
647C2×C4×C131—21no—
648C2×C4×C131—21no—
649C2×C4×C131—21no—
650C2×C4×C131—21no—
651C2×C4×C131—21no—
652C2×C4×C131—21no—
653C2×C4×C131—21no—
654C2×C4×C131—21no—
655C2×C4×C131—21no—
656C2×C4×C131—21no—
657C2×C4×C131—21no—
658C2×C4×C131—21no—
659C2×C4×C131—21no—
660C2×C4×C131—21no—
661C2×C4×C131—21no—
662C2×C4×C131—21no—
663C2×C4×C131—21no—
664C2×C4×C131—21no—
665C2×C4×C131—21no—
666C2×C4×C131—21no—
667C2×C4×C131—21no—
668C2×C4×C131—21no—
669C2×C4×C131—21no—
670C2×C4×C131—21no—
671C2×C4×C131—21no—
672C2×C4×C131—21no—
673C2×C4×C131—21no—
674C2×C4×C131—21no—
675C2×C4×C131—21no—
676C2×C4×C131—21no—
677C2×C4×C131—21no—
678C2×C4×C131—21no—
679C2×C4×C131—21no—
680C2×C4×C131—21no—
681C2×C4×C131—21no—
682C2×C4×C131—21no—
683C2×C4×C131—21no—
684C2×C4×C131—21no—
685C2×C4×C131—21no—
686C2×C4×C131—21no—
687C2×C4×C131—21no—
688C2×C4×C131—21no—
689C2×C4×C131—21no—
690C2×C4×C131—21no—
691C2×C4×C131—21no—
692C2×C4×C131—21no—
693C2×C4×C131—21no—
694C2×C4×C131—21no—
695C2×C4×C131—21no—
696C2×C4×C131—21no—
697C2×C4×C131—21no—
698C2×C4×C131—21no—
699C2×C4×C131—21no—
700C2×C4×C131—21no—
701C2×C4×C131—21no—
702C2×C4×C131—21no—
703C2×C4×C131—21no—
704C2×C4×C131—21no—
705C2×C4×C131—21no—
706C2×C4×C131—44no—
707C2×C4×C131—44no—
708C2×C4×C131—44no—
709C2×C4×C131—44no—
710C2×C4×C131—44no—
711C2×C4×C131—44no—
712C2×C4×C131—44no—
713C2×C4×C131—44no—
714C2×C4×C131—82no—
715C2×C4×C131—82no—
716C2×C4×C131—82no—
717C2×C4×C131—82no—
718C2×C4×C131—82no—
719C2×C4×C131C2×#4112yes—
720C2×C4×C131C2×#4112yes—
721C2×C4×C131H(5,𝔽2)12yes—
722C22×C131—22no—
723C22×C131—22no—
724C22×C131—22no—
725C22×C131—22no—
726C22×C131—22no—
727C22×C131—22no—
728C22×C131—22no—
729C22×C131—22no—
730C22×C131—22no—
731C22×C131—22no—
732C22×C131—22no—
733C22×C131—22no—
734C22×C131—416no—
735C22×C131—41no—
736C22×C131—41no—
737C22×C131—41no—
738C22×C131—41no—
739C22×C131—41no—
740C22×C131—41no—
741C22×C131—41no—
742C22×C131—41no—
743C22×C131—41no—
744C22×C131—41no—
745C22×C131—41no—
746C22×C131—41no—
747C22×C131—41no—
748C22×C131—41no—
749C22×C131—41no—
750C22×C131—41no—
751C22×C131—41no—
752C22×C131—41no—
753C22×C131—41no—
754C22×C131—41no—
755C22×C131—41no—
756C22×C131—41no—
757C22×C131—41no—
758C22×C131—41no—
759C22×C131—41no—
760C22×C131—41no—
761C22×C131—41no—
762C22×C131—41no—
763C22×C131—41no—
764C22×C131#54014yes—
765C22×C131C22×#4111yescharacteristic
766C22×C131C2×H(5,𝔽2)11yescharacteristic
767C22×C131C2×H(5,𝔽2)11yescharacteristic
768C22×C131C2×H(5,𝔽2)11yescharacteristic
769C22×C131C2×H(5,𝔽2)11yescharacteristic
770C22×C131C2×2−1+411yescharacteristic
771C22×C131#58511yescharacteristic
772C4×C131—22no—
773C4×C131—22no—
774C4×C131—22no—
775C4×C131—41no—
776C4×C131—41no—
777C4×C131—41no—
778C4×C131—41no—
779C4×C131—41no—
780C4×C131—41no—
781C4×C131—41no—
782C4×C131—41no—
783C4×C131—41no—
784C4×C131—41no—
785C4×C131—41no—
786C4×C131—41no—
787C4×C131—41no—
788C4×C131—41no—
789C4×C131—41no—
790C4×C131—41no—
791C4×C131—41no—
792C4×C131—41no—
793C4×C131—41no—
794C4×C131—41no—
795C4×C131—41no—
796C4×C131—41no—
797C2×C131—24no—
798C2×C131—42no—
799C2×C131—42no—
800C2×C131—81no—
801C2×C131—81no—
802C2×C131—81no—
803C2×C131C2×#54011yescharacteristic
804C2×C131#349211yescharacteristic
805C2×C131#350511yescharacteristic
806C2×C131#353211yescharacteristic
807C2×C131#353411yescharacteristic
808C2×C131#353511yescharacteristic
809C2×C131#353611yescharacteristic
810#36777C13111yesmaximal, characteristic, direct product factor, Sylow
811C131#3677711yescharacteristic, direct product factor, Sylow
812#2849C2×C13111yescharacteristic, complemented
813#2847C2×C13111yescharacteristic, complemented
814#2780C2×C13111yescharacteristic, complemented
815#2780C2×C13111yescharacteristic, complemented
816#2768C2×C13111yescharacteristic, complemented
817#2761C2×C13111yescharacteristic, complemented
818#2753C2×C13111yescharacteristic, complemented
819#2749C2×C13111yescharacteristic, complemented
820#2748C2×C13111yescharacteristic, complemented
821#2743C2×C13111yescharacteristic, complemented
822#2738C2×C13111yescharacteristic, complemented
823#2711C2×C13111yescharacteristic, complemented
824#2707C2×C13111yescharacteristic, complemented
825#2706C2×C13111yescharacteristic, complemented
826#2701C2×C13111yescharacteristic, complemented
827#2701C2×C13111yescharacteristic, complemented
828#2688C2×C13111yescharacteristic, complemented
829#2671C2×C13111yescharacteristic, complemented
830#2623C2×C13111yescharacteristic, complemented
831#2618C2×C13111yescharacteristic, complemented
832#2539C2×C13111yescharacteristic, complemented
833#2534C2×C13111yescharacteristic, complemented
834#2442C2×C13111yescharacteristic, complemented
835#2425C2×C13111yescharacteristic, complemented
836#2424C2×C13111yescharacteristic, complemented
837#2419C2×C13111yescharacteristic, complemented
838#2418C2×C13111yescharacteristic, complemented
839#2416C2×C13111yescharacteristic, complemented
840#2325C2×C13111yescharacteristic, complemented
841#2318C2×C13111yescharacteristic, complemented
842C2×#385C2×C13111yescharacteristic, complemented
843C24×C4C22×C13111yescharacteristic
844C2×#125C22×C13111yescharacteristic, complemented
845C2×#123C22×C13111yescharacteristic
846C2×#123C22×C13111yescharacteristic
847C2×#123C22×C13111yescharacteristic
848C2×#123C22×C13111yescharacteristic
849C2×#123C22×C13111yescharacteristic
850C2×#123C22×C13111yescharacteristic
851C2×#121C22×C13111yescharacteristic
852C2×#121C22×C13111yescharacteristic
853C2×#121C22×C13111yescharacteristic
854C2×#121C22×C13111yescharacteristic
855C2×#121C22×C13111yescharacteristic
856C2×#121C22×C13111yescharacteristic
857C2×#121C22×C13111yescharacteristic, complemented
858C2×#120C22×C13111yescharacteristic
859C2×#120C22×C13111yescharacteristic
860C2×#120C22×C13111yescharacteristic
861C2×C4×D4C22×C13111yescharacteristic
862C2×C4×D4C22×C13111yescharacteristic
863C2×C4×D4C22×C13111yescharacteristic
864C22×C4⋊C4C22×C13111yescharacteristic
865C22×C4⋊C4C22×C13111yescharacteristic
866C22×C22⋊C4C22×C13111yescharacteristic
867C22×C22⋊C4C22×C13111yescharacteristic
868#400C22×C13111yescharacteristic, complemented
869#400C22×C13111yescharacteristic, complemented
870#400C22×C13111yescharacteristic, complemented
871#400C22×C13111yescharacteristic, complemented
872#400C22×C13111yescharacteristic, complemented
873#399C22×C13111yescharacteristic
874#399C22×C13111yescharacteristic
875#399C22×C13111yescharacteristic
876#399C22×C13111yescharacteristic, complemented
877#399C22×C13111yescharacteristic, complemented
878#398C22×C13111yescharacteristic, complemented
879#398C22×C13111yescharacteristic, complemented
880#398C22×C13111yescharacteristic, complemented
881#398C22×C13111yescharacteristic, complemented
882#398C22×C13111yescharacteristic, complemented
883#398C22×C13111yescharacteristic, complemented
884#398C22×C13111yescharacteristic, complemented
885#398C22×C13111yescharacteristic, complemented
886#397C22×C13111yescharacteristic
887#397C22×C13111yescharacteristic, complemented
888#397C22×C13111yescharacteristic, complemented
889#397C22×C13111yescharacteristic, complemented
890#397C22×C13111yescharacteristic, complemented
891#397C22×C13111yescharacteristic, complemented
892#396C22×C13111yescharacteristic
893#396C22×C13111yescharacteristic
894#396C22×C13111yescharacteristic
895#396C22×C13111yescharacteristic, complemented
896#396C22×C13111yescharacteristic, complemented
897#396C22×C13111yescharacteristic, complemented
898#396C22×C13111yescharacteristic, complemented
899#396C22×C13111yescharacteristic, complemented
900#396C22×C13111yescharacteristic, complemented
901#396C22×C13111yescharacteristic, complemented
902#394C22×C13111yescharacteristic
903#394C22×C13111yescharacteristic
904#394C22×C13111yescharacteristic
905#394C22×C13111yescharacteristic
906#394C22×C13111yescharacteristic
907#394C22×C13111yescharacteristic
908#394C22×C13111yescharacteristic, complemented
909#394C22×C13111yescharacteristic, complemented
910#394C22×C13111yescharacteristic, complemented
911#394C22×C13111yescharacteristic, complemented
912#394C22×C13111yescharacteristic, complemented
913#392C22×C13111yescharacteristic
914#392C22×C13111yescharacteristic
915#392C22×C13111yescharacteristic
916#390C22×C13111yescharacteristic
917#390C22×C13111yescharacteristic
918#390C22×C13111yescharacteristic
919#390C22×C13111yescharacteristic
920#390C22×C13111yescharacteristic
921#390C22×C13111yescharacteristic, complemented
922#389C22×C13111yescharacteristic, complemented
923#389C22×C13111yescharacteristic, complemented
924#389C22×C13111yescharacteristic, complemented
925#389C22×C13111yescharacteristic, complemented
926#388C22×C13111yescharacteristic
927#388C22×C13111yescharacteristic
928#388C22×C13111yescharacteristic
929#388C22×C13111yescharacteristic
930#388C22×C13111yescharacteristic
931#388C22×C13111yescharacteristic, complemented
932#388C22×C13111yescharacteristic, complemented
933#388C22×C13111yescharacteristic, complemented
934#388C22×C13111yescharacteristic, complemented
935#388C22×C13111yescharacteristic, complemented
936#387C22×C13111yescharacteristic, complemented
937#387C22×C13111yescharacteristic, complemented
938#387C22×C13111yescharacteristic, complemented
939#387C22×C13111yescharacteristic, complemented
940#387C22×C13111yescharacteristic, complemented
941#387C22×C13111yescharacteristic, complemented
942#386C22×C13111yescharacteristic
943#386C22×C13111yescharacteristic
944#386C22×C13111yescharacteristic
945#386C22×C13111yescharacteristic
946#386C22×C13111yescharacteristic
947#386C22×C13111yescharacteristic
948#386C22×C13111yescharacteristic
949#386C22×C13111yescharacteristic
950#386C22×C13111yescharacteristic
951#386C22×C13111yescharacteristic
952#386C22×C13111yescharacteristic
953#386C22×C13111yescharacteristic
954#386C22×C13111yescharacteristic
955#386C22×C13111yescharacteristic
956#386C22×C13111yescharacteristic
957#386C22×C13111yescharacteristic
958#386C22×C13111yescharacteristic, complemented
959#386C22×C13111yescharacteristic, complemented
960#386C22×C13111yescharacteristic, complemented
961#385C22×C13111yescharacteristic
962#385C22×C13111yescharacteristic
963#385C22×C13111yescharacteristic
964#385C22×C13111yescharacteristic
965#385C22×C13111yescharacteristic
966#385C22×C13111yescharacteristic
967#385C22×C13111yescharacteristic
968#385C22×C13111yescharacteristic
969#385C22×C13111yescharacteristic
970#385C22×C13111yescharacteristic
971#385C22×C13111yescharacteristic
972#385C22×C13111yescharacteristic
973#385C22×C13111yescharacteristic
974#385C22×C13111yescharacteristic
975#385C22×C13111yescharacteristic, complemented
976#385C22×C13111yescharacteristic, complemented
977#385C22×C13111yescharacteristic, complemented
978#383C22×C13111yescharacteristic, complemented
979#382C22×C13111yescharacteristic, complemented
980#382C22×C13111yescharacteristic, complemented
981#381C22×C13111yescharacteristic
982#381C22×C13111yescharacteristic
983#381C22×C13111yescharacteristic
984#381C22×C13111yescharacteristic, complemented
985#381C22×C13111yescharacteristic, complemented
986#380C22×C13111yescharacteristic
987#380C22×C13111yescharacteristic
988#380C22×C13111yescharacteristic
989#380C22×C13111yescharacteristic
990#380C22×C13111yescharacteristic
991#380C22×C13111yescharacteristic, complemented
992#380C22×C13111yescharacteristic, complemented
993#380C22×C13111yescharacteristic, complemented
994#379C22×C13111yescharacteristic
995C4×C22⋊C4C22×C13111yescharacteristic
996C2×#95C22×C13111yescharacteristic
997C2×#95C22×C13111yescharacteristic
998C25C23×C13111yescharacteristic
999C22×D4C23×C13111yescharacteristic
1000C22×D4C23×C13111yescharacteristic
1001C22×D4C23×C13111yescharacteristic
1002C22×D4C23×C13111yescharacteristic
1003C22×D4C23×C13111yescharacteristic
1004C22×D4C23×C13111yescharacteristic
1005C22×D4C23×C13111yescharacteristic
1006C22×D4C23×C13111yescharacteristic
1007C22×D4C23×C13111yescharacteristic
1008C22×D4C23×C13111yescharacteristic
1009C22×D4C23×C13111yescharacteristic
1010C22×D4C23×C13111yescharacteristic
1011C23×C4—42no—
1012C23×C4—42no—
1013C23×C4—42no—
1014C23×C4C23×C13111yescharacteristic
1015C23×C4C23×C13111yescharacteristic
1016C23×C4C23×C13111yescharacteristic
1017C23×C4C23×C13111yescharacteristic
1018C23×C4C23×C13111yescharacteristic
1019C23×C4C23×C13111yescharacteristic
1020C23×C4C23×C13111yescharacteristic
1021C23×C4C23×C13111yescharacteristic
1022C23×C4C23×C13111yescharacteristic
1023C23×C4C23×C13111yescharacteristic
1024C23×C4C23×C13111yescharacteristic
1025C23×C4C23×C13111yescharacteristic
1026C23×C4C23×C13111yescharacteristic
1027#125—42no—
1028#123—42no—
1029#123—42no—
1030#123—42no—
1031#123—42no—
1032#123—42no—
1033#123—42no—
1034#121—24no—
1035#121—42no—
1036#121—42no—
1037#121—42no—
1038#121—42no—
1039#121—42no—
1040#121—42no—
1041#120—42no—
1042#120—42no—
1043#120—42no—
1044C4×D4—24no—
1045C4×D4—42no—
1046C4×D4—42no—
1047C2×C4⋊C4—42no—
1048C2×C4⋊C4—42no—
1049C2×C4⋊C4C23×C13111yescharacteristic
1050C2×C4⋊C4C23×C13111yescharacteristic
1051C2×C4⋊C4C23×C13111yescharacteristic
1052C2×C4⋊C4C23×C13111yescharacteristic
1053C2×C4⋊C4C23×C13111yescharacteristic
1054C2×C4⋊C4C23×C13111yescharacteristic
1055C2×C4⋊C4C23×C13111yescharacteristic
1056C2×C4⋊C4C23×C13111yescharacteristic
1057C2×C4⋊C4C23×C13111yescharacteristic
1058C2×C4⋊C4C23×C13111yescharacteristic
1059C2×C4⋊C4C23×C13111yescharacteristic
1060C2×C4⋊C4C23×C13111yescharacteristic
1061C2×C4⋊C4C23×C13111yescharacteristic
1062C2×C4⋊C4C23×C13111yescharacteristic
1063C2×C4⋊C4C23×C13111yescharacteristic
1064C2×C4⋊C4C23×C13111yescharacteristic
1065C2×C4⋊C4C23×C13111yescharacteristic
1066C2×C4⋊C4C23×C13111yescharacteristic
1067C2×C4⋊C4C23×C13111yescharacteristic
1068C2×C4⋊C4C23×C13111yescharacteristic
1069C2×C4⋊C4C23×C13111yescharacteristic
1070C2×C4⋊C4C23×C13111yescharacteristic
1071C2×C4⋊C4C23×C13111yescharacteristic
1072C2×C4⋊C4C23×C13111yescharacteristic
1073C2×C4⋊C4C23×C13111yescharacteristic
1074C2×C4⋊C4C23×C13111yescharacteristic
1075C2×C4⋊C4C23×C13111yescharacteristic
1076C2×C4⋊C4C23×C13111yescharacteristic
1077C2×C4⋊C4C23×C13111yescharacteristic
1078C2×C4⋊C4C23×C13111yescharacteristic
1079C2×C4⋊C4C23×C13111yescharacteristic
1080C2×C4⋊C4C23×C13111yescharacteristic
1081C2×C4⋊C4C23×C13111yescharacteristic
1082C2×C4⋊C4C23×C13111yescharacteristic
1083C2×C22⋊C4—24no—
1084C2×C22⋊C4—42no—
1085C2×C22⋊C4C23×C13111yescharacteristic
1086C2×C22⋊C4C23×C13111yescharacteristic
1087C2×C22⋊C4C23×C13111yescharacteristic
1088C2×C22⋊C4C23×C13111yescharacteristic
1089C2×C22⋊C4C23×C13111yescharacteristic
1090C2×C22⋊C4C23×C13111yescharacteristic
1091C2×C22⋊C4C23×C13111yescharacteristic
1092C2×C22⋊C4C23×C13111yescharacteristic
1093C2×C22⋊C4C23×C13111yescharacteristic
1094C2×C22⋊C4C23×C13111yescharacteristic
1095C2×C22⋊C4C23×C13111yescharacteristic
1096C2×C22⋊C4C23×C13111yescharacteristic
1097C2×C22⋊C4C23×C13111yescharacteristic
1098C2×C22⋊C4C23×C13111yescharacteristic
1099C2×C22⋊C4C23×C13111yescharacteristic
1100C2×C22⋊C4C23×C13111yescharacteristic
1101C2×C22⋊C4C23×C13111yescharacteristic
1102C2×C22⋊C4C23×C13111yescharacteristic
1103C2×C22⋊C4C23×C13111yescharacteristic
1104C2×C22⋊C4C23×C13111yescharacteristic
1105C2×C22⋊C4C23×C13111yescharacteristic
1106C2×C22⋊C4C23×C13111yescharacteristic
1107C2×C22⋊C4C23×C13111yescharacteristic
1108C2×C22⋊C4C23×C13111yescharacteristic
1109C2×C22⋊C4C23×C13111yescharacteristic
1110C2×C22⋊C4C23×C13111yescharacteristic
1111C2×C22⋊C4C23×C13111yescharacteristic
1112C2×C22⋊C4C23×C13111yescharacteristic
1113C2×C22⋊C4C23×C13111yescharacteristic
1114C2×C22⋊C4C23×C13111yescharacteristic
1115C2×C22⋊C4C23×C13111yescharacteristic
1116C2×C22⋊C4C23×C13111yescharacteristic
1117C2×C22⋊C4C23×C13111yescharacteristic
1118C2×C22⋊C4C23×C13111yescharacteristic
1119C2×C22⋊C4C23×C13111yescharacteristic
1120C2×C22⋊C4C23×C13111yescharacteristic
1121C2×C22⋊C4C23×C13111yescharacteristic
1122C2×C22⋊C4C23×C13111yescharacteristic
1123C2×C22⋊C4C23×C13111yescharacteristic
1124C2×C22⋊C4C23×C13111yescharacteristic
1125C2×C22⋊C4C23×C13111yescharacteristic
1126C2×C22⋊C4C23×C13111yescharacteristic
1127C2×C22⋊C4C23×C13111yescharacteristic
1128C2×C22⋊C4C23×C13111yescharacteristic
1129C2×C22⋊C4C23×C13111yescharacteristic
1130C2×C22⋊C4C23×C13111yescharacteristic
1131C2×C22⋊C4C23×C13111yescharacteristic
1132C2×C22⋊C4C23×C13111yescharacteristic
1133C2×C22⋊C4C23×C13111yescharacteristic
1134C2×C22⋊C4C23×C13111yescharacteristic
1135C2×C42C23×C13111yescharacteristic
1136C2×C42C23×C13111yescharacteristic
1137C2×C42C23×C13111yescharacteristic
1138C2×C42C23×C13111yescharacteristic
1139C2×C42C23×C13111yescharacteristic
1140#95C23×C13111yescharacteristic
1141#95C23×C13111yescharacteristic
1142#95C23×C13111yescharacteristic
1143#95C23×C13111yescharacteristic
1144#95C23×C13111yescharacteristic
1145#95C23×C13111yescharacteristic
1146#95C23×C13111yescharacteristic
1147#95C23×C13111yescharacteristic
1148#95C23×C13111yescharacteristic
1149#95C23×C13111yescharacteristic
1150#95C23×C13111yescharacteristic
1151#95C23×C13111yescharacteristic
1152#95C23×C13111yescharacteristic
1153#95C23×C13111yescharacteristic
1154#95C23×C13111yescharacteristic
1155#95C23×C13111yescharacteristic
1156#95C23×C13111yescharacteristic
1157#95C23×C13111yescharacteristic
1158#95C23×C13111yescharacteristic
1159#95C23×C13111yescharacteristic
1160#95C23×C13111yescharacteristic
1161#95C23×C13111yescharacteristic
1162#95C23×C13111yescharacteristic
1163#95C23×C13111yescharacteristic
1164#95C23×C13111yescharacteristic
1165#95C23×C13111yescharacteristic
1166#95C23×C13111yescharacteristic
1167#95C23×C13111yescharacteristic
1168#95C23×C13111yescharacteristic
1169#95C23×C13111yescharacteristic
1170#95C23×C13111yescharacteristic
1171#95C23×C13111yescharacteristic
1172#95C23×C13111yescharacteristic
1173#95C23×C13111yescharacteristic
1174#95C23×C13111yescharacteristic
1175#95C23×C13111yescharacteristic
1176#95C23×C13111yescharacteristic
1177#95C23×C13111yescharacteristic
1178#95C23×C13111yescharacteristic
1179#95C23×C13111yescharacteristic
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—41no—
1186C24—41no—
1187C24C24×C13111yescharacteristic
1188C24C24×C13111yescharacteristic
1189C24C24×C13111yescharacteristic
1190C24C24×C13111yescharacteristic
1191C24C24×C13111yescharacteristic
1192C24C24×C13111yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—416no—
1268C22×C4#41×C13114yes—
1269C22×C4C24×C13111yescharacteristic
1270C22×C4C24×C13111yescharacteristic
1271C22×C4C24×C13111yescharacteristic
1272C22×C4C24×C13111yescharacteristic
1273C22×C4C24×C13111yescharacteristic
1274C22×C4C24×C13111yescharacteristic
1275C22×C4C24×C13111yescharacteristic
1276C22×C4C24×C13111yescharacteristic
1277C22×C4C24×C13111yescharacteristic
1278C22×C4C24×C13111yescharacteristic
1279C22×C4C24×C13111yescharacteristic
1280C22×C4C24×C13111yescharacteristic
1281C22×C4C24×C13111yescharacteristic
1282C22×C4C24×C13111yescharacteristic
1283C22×C4C24×C13111yescharacteristic
1284C22×C4C24×C13111yescharacteristic
1285C22×C4C24×C13111yescharacteristic
1286C22×C4C24×C13111yescharacteristic
1287C22×C4C24×C13111yescharacteristic
1288C22×C4C24×C13111yescharacteristic
1289C22×C4C24×C13111yescharacteristic
1290C22×C4C24×C13111yescharacteristic
1291C22×C4C24×C13111yescharacteristic
1292C22×C4C24×C13111yescharacteristic
1293C22×C4C24×C13111yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C42—22no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—28no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23C2×#41×C13112yes—
1428C23H(5,𝔽2)×C13112yes—
1429C23H(5,𝔽2)×C13112yes—
1430C23H(5,𝔽2)×C13112yes—
1431C232−1+4×C13112yes—
1432C23C25×C13111yescharacteristic
1433D4—44no—
1434D4—44no—
1435D4—44no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4C2×#41×C13112yes—
1531C2×C4C2×#41×C13112yes—
1532C2×C4H(5,𝔽2)×C13112yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—416no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22#540×C13114yes—
1576C22C22×#41×C13111yescharacteristic
1577C22C2×H(5,𝔽2)×C13111yescharacteristic
1578C22C2×H(5,𝔽2)×C13111yescharacteristic
1579C22C2×H(5,𝔽2)×C13111yescharacteristic
1580C22C2×H(5,𝔽2)×C13111yescharacteristic
1581C22C2×2−1+4×C13111yescharacteristic
1582C22#585×C13111yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C2—24no—
1609C2—42no—
1610C2—42no—
1611C2—81no—
1612C2—81no—
1613C2—81no—
1614C2C2×#540×C13111yescharacteristic
1615C2#3492×C13111yescharacteristic
1616C2#3505×C13111yescharacteristic
1617C2#3532×C13111yescharacteristic
1618C2#3534×C13111yescharacteristic
1619C2#3535×C13111yescharacteristic
1620C2#3536×C13111yescharacteristic
subgroupG/H
center, socleC23×C131C25
commutator, Frattini, cosocleC23C25×C131
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C131 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2849×C131C2semidirect
2. #2847×C131C2semidirect
3. #2780×C131C2semidirect
4. #2780×C131C2semidirect
5. #2768×C131C2semidirect
6. #2761×C131C2semidirect
7. #2753×C131C2semidirect
8. #2749×C131C2semidirect
9. #2748×C131C2semidirect
10. #2743×C131C2semidirect
11. #2738×C131C2semidirect
12. #2711×C131C2semidirect
13. #2707×C131C2semidirect
14. #2706×C131C2semidirect
15. #2701×C131C2semidirect
16. #2701×C131C2semidirect
17. #2688×C131C2semidirect
18. #2671×C131C2semidirect
19. #2623×C131C2semidirect
20. #2618×C131C2semidirect
21. #2539×C131C2semidirect
22. #2534×C131C2semidirect
23. #2442×C131C2semidirect
24. #2425×C131C2semidirect
25. #2424×C131C2semidirect
26. #2419×C131C2semidirect
27. #2418×C131C2semidirect
28. #2416×C131C2semidirect
29. #2325×C131C2semidirect
30. #2318×C131C2semidirect
31. C2×#385×C131C2semidirect
33. C2×#125×C131C22semidirect
46. C2×#121×C131C22semidirect
57. #400×C131C22semidirect
58. #400×C131C22semidirect
59. #400×C131C22semidirect
60. #400×C131C22semidirect
61. #400×C131C22semidirect
65. #399×C131C22semidirect
66. #399×C131C22semidirect
67. #398×C131C22semidirect
68. #398×C131C22semidirect
69. #398×C131C22semidirect
70. #398×C131C22semidirect
71. #398×C131C22semidirect
72. #398×C131C22semidirect
73. #398×C131C22semidirect
74. #398×C131C22semidirect
76. #397×C131C22semidirect
77. #397×C131C22semidirect
78. #397×C131C22semidirect
79. #397×C131C22semidirect
80. #397×C131C22semidirect
84. #396×C131C22semidirect
85. #396×C131C22semidirect
86. #396×C131C22semidirect
87. #396×C131C22semidirect
88. #396×C131C22semidirect
89. #396×C131C22semidirect
90. #396×C131C22semidirect
97. #394×C131C22semidirect
98. #394×C131C22semidirect
99. #394×C131C22semidirect
100. #394×C131C22semidirect
101. #394×C131C22semidirect
110. #390×C131C22semidirect
111. #389×C131C22semidirect
112. #389×C131C22semidirect
113. #389×C131C22semidirect
114. #389×C131C22semidirect
120. #388×C131C22semidirect
121. #388×C131C22semidirect
122. #388×C131C22semidirect
123. #388×C131C22semidirect
124. #388×C131C22semidirect
125. #387×C131C22semidirect
126. #387×C131C22semidirect
127. #387×C131C22semidirect
128. #387×C131C22semidirect
129. #387×C131C22semidirect
130. #387×C131C22semidirect
147. #386×C131C22semidirect
148. #386×C131C22semidirect
149. #386×C131C22semidirect
164. #385×C131C22semidirect
165. #385×C131C22semidirect
166. #385×C131C22semidirect
167. #383×C131C22semidirect
168. #382×C131C22semidirect
169. #382×C131C22semidirect
173. #381×C131C22semidirect
174. #381×C131C22semidirect
180. #380×C131C22semidirect
181. #380×C131C22semidirect
182. #380×C131C22semidirect
810. #36777C131direct (N × H)
811. C131#36777direct (N × H)
812. #2849C2×C131semidirect
813. #2847C2×C131semidirect
814. #2780C2×C131semidirect
815. #2780C2×C131semidirect
816. #2768C2×C131semidirect
817. #2761C2×C131semidirect
818. #2753C2×C131semidirect
819. #2749C2×C131semidirect
820. #2748C2×C131semidirect
821. #2743C2×C131semidirect
822. #2738C2×C131semidirect
823. #2711C2×C131semidirect
824. #2707C2×C131semidirect
825. #2706C2×C131semidirect
826. #2701C2×C131semidirect
827. #2701C2×C131semidirect
828. #2688C2×C131semidirect
829. #2671C2×C131semidirect
830. #2623C2×C131semidirect
831. #2618C2×C131semidirect
832. #2539C2×C131semidirect
833. #2534C2×C131semidirect
834. #2442C2×C131semidirect
835. #2425C2×C131semidirect
836. #2424C2×C131semidirect
837. #2419C2×C131semidirect
838. #2418C2×C131semidirect
839. #2416C2×C131semidirect
840. #2325C2×C131semidirect
841. #2318C2×C131semidirect
842. C2×#385C2×C131semidirect
844. C2×#125C22×C131semidirect
857. C2×#121C22×C131semidirect
868. #400C22×C131semidirect
869. #400C22×C131semidirect
870. #400C22×C131semidirect
871. #400C22×C131semidirect
872. #400C22×C131semidirect
876. #399C22×C131semidirect
877. #399C22×C131semidirect
878. #398C22×C131semidirect
879. #398C22×C131semidirect
880. #398C22×C131semidirect
881. #398C22×C131semidirect
882. #398C22×C131semidirect
883. #398C22×C131semidirect
884. #398C22×C131semidirect
885. #398C22×C131semidirect
887. #397C22×C131semidirect
888. #397C22×C131semidirect
889. #397C22×C131semidirect
890. #397C22×C131semidirect
891. #397C22×C131semidirect
895. #396C22×C131semidirect
896. #396C22×C131semidirect
897. #396C22×C131semidirect
898. #396C22×C131semidirect
899. #396C22×C131semidirect
900. #396C22×C131semidirect
901. #396C22×C131semidirect
908. #394C22×C131semidirect
909. #394C22×C131semidirect
910. #394C22×C131semidirect
911. #394C22×C131semidirect
912. #394C22×C131semidirect
921. #390C22×C131semidirect
922. #389C22×C131semidirect
923. #389C22×C131semidirect
924. #389C22×C131semidirect
925. #389C22×C131semidirect
931. #388C22×C131semidirect
932. #388C22×C131semidirect
933. #388C22×C131semidirect
934. #388C22×C131semidirect
935. #388C22×C131semidirect
936. #387C22×C131semidirect
937. #387C22×C131semidirect
938. #387C22×C131semidirect
939. #387C22×C131semidirect
940. #387C22×C131semidirect
941. #387C22×C131semidirect
958. #386C22×C131semidirect
959. #386C22×C131semidirect
960. #386C22×C131semidirect
975. #385C22×C131semidirect
976. #385C22×C131semidirect
977. #385C22×C131semidirect
978. #383C22×C131semidirect
979. #382C22×C131semidirect
980. #382C22×C131semidirect
984. #381C22×C131semidirect
985. #381C22×C131semidirect
991. #380C22×C131semidirect
992. #380C22×C131semidirect
993. #380C22×C131semidirect

Maximal subgroups

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

subgroupindex
#2849×C1312
#2847×C1312
#2780×C1312
#2768×C1312
#2761×C1312
#2753×C1312
#2749×C1312
#2748×C1312
#2743×C1312
#2738×C1312
#2711×C1312
#2707×C1312
#2706×C1312
#2701×C1312
#2688×C1312
#2671×C1312
#2623×C1312
#2618×C1312
#2539×C1312
#2534×C1312
#2442×C1312
#2425×C1312
#2424×C1312
#2419×C1312
#2418×C1312
#2416×C1312
#2325×C1312
#2318×C1312
C2×#385×C1312
#36777131