Finite Group Databasebeta

← C131×#34811 #45720695

Subgroups — C131×#34811 #45720695

Order 33536.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2533×C131C211yesmaximal, characteristic, complemented
2#2532×C131C211yesmaximal, characteristic, complemented
3#2531×C131C211yesmaximal, characteristic, complemented
4#2530×C131C211yesmaximal, characteristic, complemented
5#2529×C131C211yesmaximal, characteristic, complemented
6#2528×C131C211yesmaximal, characteristic, complemented
7#2527×C131C211yesmaximal, characteristic, complemented
8#2526×C131C211yesmaximal, characteristic, complemented
9#2510×C131C211yesmaximal, characteristic, complemented
10#2505×C131C211yesmaximal, characteristic, complemented
11#2493×C131C211yesmaximal, characteristic, complemented
12#2488×C131C211yesmaximal, characteristic, complemented
13#2450×C131C211yesmaximal, characteristic, complemented
14#2444×C131C211yesmaximal, characteristic
15#2425×C131C211yesmaximal, characteristic
16#2419×C131C211yesmaximal, characteristic, complemented
17#2402×C131C211yesmaximal, characteristic, complemented
18#2401×C131C211yesmaximal, characteristic, complemented
19#2401×C131C211yesmaximal, characteristic, complemented
20#2398×C131C211yesmaximal, characteristic, complemented
21C4×C22⋊Q8×C131C211yesmaximal, characteristic, complemented
22C4×#123×C131C211yesmaximal, characteristic, complemented
23C4×#123×C131C211yesmaximal, characteristic, complemented
24C4×#121×C131C211yesmaximal, characteristic
25#2298×C131C211yesmaximal, characteristic, complemented
26#2295×C131C211yesmaximal, characteristic, complemented
27#2290×C131C211yesmaximal, characteristic, complemented
28#2290×C131C211yesmaximal, characteristic, complemented
29#2283×C131C211yesmaximal, characteristic, complemented
30C42×D4×C131C211yesmaximal, characteristic, complemented
31C2×#376×C131C211yesmaximal, characteristic, complemented
32C2×#123×C131C2211yescharacteristic
33C2×#123×C131C2211yescharacteristic
34C2×C22⋊Q8×C131C2211yescharacteristic
35C2×#121×C131C2211yescharacteristic
36C2×C4×Q8×C131C2211yescharacteristic
37C2×C4×D4×C131C2211yescharacteristic
38C2×C4×D4×C131C2211yescharacteristic
39C2×C4×D4×C131C2211yescharacteristic
40C2×C4×D4×C131C2211yescharacteristic
41C2×C4×D4×C131C2211yescharacteristic
42C2×#117×C131C2211yescharacteristic
43C22×C42×C131C2211yescharacteristic
44C22×C42×C131C2211yescharacteristic
45C22×C42×C131C2211yescharacteristic
46C22×C42×C131C2211yescharacteristic
47#401×C131C2211yescharacteristic
48#401×C131C2211yescharacteristic
49#400×C131C2211yescharacteristic
50#400×C131C2211yescharacteristic
51#400×C131C2211yescharacteristic
52#400×C131C2211yescharacteristic
53#400×C131C2211yescharacteristic
54#400×C131C2211yescharacteristic
55#400×C131C2211yescharacteristic
56#400×C131C2211yescharacteristic
57#400×C131C2211yescharacteristic
58#400×C131C2211yescharacteristic
59#400×C131C2211yescharacteristic
60#400×C131C2211yescharacteristic
61#398×C131C2211yescharacteristic
62#398×C131C2211yescharacteristic
63#398×C131C2211yescharacteristic
64#398×C131C2211yescharacteristic
65#397×C131C2211yescharacteristic
66#397×C131C2211yescharacteristic
67#397×C131C2211yescharacteristic
68#397×C131C2211yescharacteristic
69#397×C131C2211yescharacteristic
70#397×C131C2211yescharacteristic
71#397×C131C2211yescharacteristic
72#397×C131C2211yescharacteristic
73#396×C131C2211yescharacteristic
74#396×C131C2211yescharacteristic
75#394×C131C2211yescharacteristic
76#394×C131C2211yescharacteristic
77#393×C131C2211yescharacteristic
78#393×C131C2211yescharacteristic
79#391×C131C2211yescharacteristic
80#391×C131C2211yescharacteristic
81#391×C131C2211yescharacteristic
82#390×C131C2211yescharacteristic
83#389×C131C2211yescharacteristic
84#389×C131C2211yescharacteristic
85#389×C131C2211yescharacteristic
86#389×C131C2211yescharacteristic
87#388×C131C2211yescharacteristic
88#388×C131C2211yescharacteristic
89#388×C131C2211yescharacteristic
90#388×C131C2211yescharacteristic
91#388×C131C2211yescharacteristic
92#388×C131C2211yescharacteristic
93#388×C131C2211yescharacteristic
94#388×C131C2211yescharacteristic
95#388×C131C2211yescharacteristic
96#388×C131C2211yescharacteristic
97#388×C131C2211yescharacteristic
98#388×C131C2211yescharacteristic
99#388×C131C2211yescharacteristic
100#388×C131C2211yescharacteristic
101#387×C131C2211yescharacteristic
102#387×C131C2211yescharacteristic
103#387×C131C2211yescharacteristic
104#387×C131C2211yescharacteristic
105#387×C131C2211yescharacteristic
106#387×C131C2211yescharacteristic
107#387×C131C2211yescharacteristic
108#387×C131C2211yescharacteristic
109#387×C131C2211yescharacteristic
110#387×C131C2211yescharacteristic
111#387×C131C2211yescharacteristic
112#387×C131C2211yescharacteristic
113#387×C131C2211yescharacteristic
114#387×C131C2211yescharacteristic
115#387×C131C2211yescharacteristic
116#387×C131C2211yescharacteristic
117#387×C131C2211yescharacteristic
118#387×C131C2211yescharacteristic
119#386×C131C2211yescharacteristic
120#386×C131C2211yescharacteristic
121#386×C131C2211yescharacteristic
122#386×C131C2211yescharacteristic
123#386×C131C2211yescharacteristic
124#386×C131C2211yescharacteristic
125#386×C131C2211yescharacteristic
126#386×C131C2211yescharacteristic
127#385×C131C2211yescharacteristic
128#385×C131C2211yescharacteristic
129#385×C131C2211yescharacteristic
130#385×C131C2211yescharacteristic
131#385×C131C2211yescharacteristic
132#385×C131C2211yescharacteristic
133#385×C131C2211yescharacteristic
134#385×C131C2211yescharacteristic
135#383×C131C2211yescharacteristic
136#383×C131C2211yescharacteristic
137#382×C131C2211yescharacteristic
138#382×C131C2211yescharacteristic
139#381×C131C2211yescharacteristic
140#381×C131C2211yescharacteristic
141#381×C131C2211yescharacteristic
142#381×C131C2211yescharacteristic
143#380×C131C2211yescharacteristic
144#380×C131C2211yescharacteristic
145#380×C131C2211yescharacteristic
146#380×C131C2211yescharacteristic
147C4×C4⋊C4×C131C2211yescharacteristic
148C4×C4⋊C4×C131C2211yescharacteristic
149C4×C4⋊C4×C131C2211yescharacteristic
150C4×C4⋊C4×C131C2211yescharacteristic
151C4×C4⋊C4×C131C2211yescharacteristic
152C4×C4⋊C4×C131C2211yescharacteristic
153C4×C4⋊C4×C131C2211yescharacteristic
154C4×C4⋊C4×C131C2211yescharacteristic
155C4×C4⋊C4×C131C2211yescharacteristic
156C4×C4⋊C4×C131C2211yescharacteristic
157C4×C4⋊C4×C131C2211yescharacteristic
158C4×C4⋊C4×C131C2211yescharacteristic
159C4×C22⋊C4×C131C2211yescharacteristic
160C4×C22⋊C4×C131C2211yescharacteristic
161C4×C22⋊C4×C131C2211yescharacteristic
162C4×C22⋊C4×C131C2211yescharacteristic
163C4×C22⋊C4×C131C2211yescharacteristic
164C4×C22⋊C4×C131C2211yescharacteristic
165C4×C22⋊C4×C131C2211yescharacteristic
166C4×C22⋊C4×C131C2211yescharacteristic
167C4×C22⋊C4×C131C2211yescharacteristic
168C4×C22⋊C4×C131C2211yescharacteristic
169C4×C22⋊C4×C131C2211yescharacteristic
170C4×C22⋊C4×C131C2211yescharacteristic
171C4×C22⋊C4×C131C2211yescharacteristic
172C4×C22⋊C4×C131C2211yescharacteristic
173#376×C131C2211yescharacteristic
174#376×C131C2211yescharacteristic
175#376×C131C2211yescharacteristic
176#376×C131C2211yescharacteristic
177#376×C131C2211yescharacteristic
178#376×C131C2211yescharacteristic
179#376×C131C2211yescharacteristic
180#376×C131C2211yescharacteristic
181#376×C131C2211yescharacteristic
182C2×#95×C131C2211yescharacteristic
183C2×#95×C131C2211yescharacteristic
184C2×#95×C131C2211yescharacteristic
185C2×#95×C131C2211yescharacteristic
186C43×C131C2211yescharacteristic
187C22×Q8×C131C2311yescharacteristic
188C22×D4×C131C2311yescharacteristic
189C22×D4×C131C2311yescharacteristic
190C22×D4×C131C2311yescharacteristic
191C23×C4×C131C2311yescharacteristic
192C23×C4×C131C2311yescharacteristic
193C23×C4×C131C2311yescharacteristic
194C23×C4×C131C2311yescharacteristic
195C23×C4×C131C2311yescharacteristic
196C23×C4×C131C2311yescharacteristic
197C23×C4×C131C2311yescharacteristic
198C23×C4×C131C2311yescharacteristic
199C23×C4×C131C2311yescharacteristic
200C23×C4×C131C2311yescharacteristic
201C23×C4×C131C2311yescharacteristic
202#123×C131—24no—
203#123×C131—24no—
204C22⋊Q8×C131—24no—
205#121×C131—24no—
206C4×Q8×C131—24no—
207C4×D4×C131—24no—
208C4×D4×C131—24no—
209C4×D4×C131—24no—
210C4×D4×C131—24no—
211C4×D4×C131—24no—
212#117×C131—24no—
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×C22⋊C4×C131C2311yescharacteristic
242C2×C22⋊C4×C131C2311yescharacteristic
243C2×C22⋊C4×C131C2311yescharacteristic
244C2×C22⋊C4×C131C2311yescharacteristic
245C2×C22⋊C4×C131C2311yescharacteristic
246C2×C22⋊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×C42×C131—24no—
270C2×C42×C131—24no—
271C2×C42×C131—24no—
272C2×C42×C131—24no—
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
287C2×C42×C131C2311yescharacteristic
288C2×C42×C131C2311yescharacteristic
289C2×C42×C131C2311yescharacteristic
290C2×C42×C131C2311yescharacteristic
291C2×C42×C131C2311yescharacteristic
292C2×C42×C131C2311yescharacteristic
293C2×C42×C131C2311yescharacteristic
294C2×C42×C131C2311yescharacteristic
295C2×C42×C131C2311yescharacteristic
296C2×C42×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
351#95×C131C2311yescharacteristic
352#95×C131C2311yescharacteristic
353#95×C131C2311yescharacteristic
354#95×C131C2311yescharacteristic
355#95×C131C2311yescharacteristic
356#95×C131C2311yescharacteristic
357C24×C131C2411yescharacteristic
358C24×C131C2411yescharacteristic
359C24×C131C2411yescharacteristic
360C2×Q8×C131—22no—
361C2×Q8×C131—22no—
362C2×Q8×C131—41no—
363C2×D4×C131—22no—
364C2×D4×C131—22no—
365C2×D4×C131—22no—
366C2×D4×C131—22no—
367C2×D4×C131—22no—
368C2×D4×C131—22no—
369C2×D4×C131—22no—
370C2×D4×C131—41no—
371C2×D4×C131#4114yes—
372C22×C4×C131—22no—
373C22×C4×C131—22no—
374C22×C4×C131—22no—
375C22×C4×C131—22no—
376C22×C4×C131—22no—
377C22×C4×C131—22no—
378C22×C4×C131—22no—
379C22×C4×C131—22no—
380C22×C4×C131—22no—
381C22×C4×C131—22no—
382C22×C4×C131—22no—
383C22×C4×C131—22no—
384C22×C4×C131—22no—
385C22×C4×C131—22no—
386C22×C4×C131—22no—
387C22×C4×C131—22no—
388C22×C4×C131—22no—
389C22×C4×C131—22no—
390C22×C4×C131—22no—
391C22×C4×C131—22no—
392C22×C4×C131—22no—
393C22×C4×C131—22no—
394C22×C4×C131—22no—
395C22×C4×C131—22no—
396C22×C4×C131—41no—
397C22×C4×C131—41no—
398C22×C4×C131—41no—
399C22×C4×C131—41no—
400C22×C4×C131—41no—
401C22×C4×C131—41no—
402C22×C4×C131—41no—
403C22×C4×C131—41no—
404C22×C4×C131#4114yes—
405C22×C4×C131C2411yescharacteristic
406C22×C4×C131C2411yescharacteristic
407C22×C4×C131C2411yescharacteristic
408C22×C4×C131C2411yescharacteristic
409C22×C4×C131C2411yescharacteristic
410C22×C4×C131C2411yescharacteristic
411C22×C4×C131C2411yescharacteristic
412C22×C4×C131C2411yescharacteristic
413C22×C4×C131C2411yescharacteristic
414C22×C4×C131C2411yescharacteristic
415C22×C4×C131C2411yescharacteristic
416C22×C4×C131C2411yescharacteristic
417C22×C4×C131C2411yescharacteristic
418C22×C4×C131C2411yescharacteristic
419C22×C4×C131C2411yescharacteristic
420C22×C4×C131C2411yescharacteristic
421C22×C4×C131C2411yescharacteristic
422C22×C4×C131C2411yescharacteristic
423C22×C4×C131C2411yescharacteristic
424C22×C4×C131C2411yescharacteristic
425C22×C4×C131C2411yescharacteristic
426C22×C4×C131C2411yescharacteristic
427C22×C4×C131C2411yescharacteristic
428C22×C4×C131C2411yescharacteristic
429C22×C4×C131C2411yescharacteristic
430C22×C4×C131C2411yescharacteristic
431C22×C4×C131C2411yescharacteristic
432C22×C4×C131C2411yescharacteristic
433C4⋊C4×C131—22no—
434C4⋊C4×C131—22no—
435C4⋊C4×C131—22no—
436C4⋊C4×C131—22no—
437C4⋊C4×C131—22no—
438C4⋊C4×C131—22no—
439C4⋊C4×C131—22no—
440C4⋊C4×C131—22no—
441C4⋊C4×C131—22no—
442C4⋊C4×C131—22no—
443C4⋊C4×C131—22no—
444C4⋊C4×C131—22no—
445C4⋊C4×C131—22no—
446C4⋊C4×C131—22no—
447C4⋊C4×C131—22no—
448C4⋊C4×C131—22no—
449C4⋊C4×C131—22no—
450C4⋊C4×C131—22no—
451C4⋊C4×C131—41no—
452C4⋊C4×C131—41no—
453C4⋊C4×C131—41no—
454C4⋊C4×C131—41no—
455C4⋊C4×C131—41no—
456C4⋊C4×C131—41no—
457C4⋊C4×C131—41no—
458C4⋊C4×C131—41no—
459C4⋊C4×C131—41no—
460C4⋊C4×C131—41no—
461C22⋊C4×C131—22no—
462C22⋊C4×C131—22no—
463C22⋊C4×C131—22no—
464C22⋊C4×C131—22no—
465C22⋊C4×C131—22no—
466C22⋊C4×C131—22no—
467C22⋊C4×C131—22no—
468C22⋊C4×C131—22no—
469C22⋊C4×C131—22no—
470C22⋊C4×C131—22no—
471C22⋊C4×C131—22no—
472C22⋊C4×C131—22no—
473C22⋊C4×C131—22no—
474C22⋊C4×C131—22no—
475C22⋊C4×C131—22no—
476C22⋊C4×C131—22no—
477C22⋊C4×C131—22no—
478C22⋊C4×C131—22no—
479C22⋊C4×C131—22no—
480C22⋊C4×C131—41no—
481C22⋊C4×C131—41no—
482C22⋊C4×C131—41no—
483C22⋊C4×C131—41no—
484C22⋊C4×C131—41no—
485C22⋊C4×C131—41no—
486C22⋊C4×C131—41no—
487C22⋊C4×C131—41no—
488C22⋊C4×C131#4114yes—
489C42×C131—22no—
490C42×C131—22no—
491C42×C131—22no—
492C42×C131—22no—
493C42×C131—22no—
494C42×C131—22no—
495C42×C131—22no—
496C42×C131—22no—
497C42×C131—22no—
498C42×C131—22no—
499C42×C131—22no—
500C42×C131—22no—
501C42×C131—22no—
502C42×C131—22no—
503C42×C131—22no—
504C42×C131—22no—
505C42×C131—22no—
506C42×C131—22no—
507C42×C131—22no—
508C42×C131—22no—
509C42×C131—41no—
510C42×C131—41no—
511C42×C131#4114yes—
512C42×C131#4114yes—
513C23×C131—21no—
514C23×C131—21no—
515C23×C131—21no—
516C23×C131—21no—
517C23×C131—21no—
518C23×C131—21no—
519C23×C131—21no—
520C23×C131—21no—
521C23×C131—21no—
522C23×C131—21no—
523C23×C131—21no—
524C23×C131—21no—
525C23×C131—21no—
526C23×C131—21no—
527C23×C131—21no—
528C23×C131—21no—
529C23×C131—21no—
530C23×C131C2×#4112yes—
531C23×C131C2×#4112yes—
532C23×C131C2×#4112yes—
533C23×C131C2×#4112yes—
534C23×C131C2511yescharacteristic
535Q8×C131—44no—
536D4×C131—28no—
537D4×C131—44no—
538D4×C131—44no—
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—28no—
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—21no—
591C2×C4×C131—21no—
592C2×C4×C131—21no—
593C2×C4×C131—21no—
594C2×C4×C131—21no—
595C2×C4×C131—21no—
596C2×C4×C131—21no—
597C2×C4×C131—21no—
598C2×C4×C131—21no—
599C2×C4×C131—21no—
600C2×C4×C131—21no—
601C2×C4×C131—21no—
602C2×C4×C131—21no—
603C2×C4×C131—21no—
604C2×C4×C131—21no—
605C2×C4×C131—21no—
606C2×C4×C131—21no—
607C2×C4×C131—21no—
608C2×C4×C131—21no—
609C2×C4×C131—21no—
610C2×C4×C131—21no—
611C2×C4×C131—21no—
612C2×C4×C131—21no—
613C2×C4×C131—44no—
614C2×C4×C131—44no—
615C2×C4×C131—44no—
616C2×C4×C131—44no—
617C2×C4×C131—44no—
618C2×C4×C131—44no—
619C2×C4×C131—44no—
620C2×C4×C131—44no—
621C2×C4×C131—44no—
622C2×C4×C131—44no—
623C2×C4×C131C2×#4112yes—
624C2×C4×C131C2×#4112yes—
625C2×C4×C131C2×#4112yes—
626C2×C4×C131C2×#4112yes—
627C2×C4×C131C2×#4112yes—
628C2×C4×C131C2×#4112yes—
629C2×C4×C131C2×#4112yes—
630C2×C4×C131C2×#4112yes—
631C2×C4×C131C2×#4112yes—
632C2×C4×C131C2×#4112yes—
633C2×C4×C131C2×#4112yes—
634C22×C131—22no—
635C22×C131—22no—
636C22×C131—22no—
637C22×C131—22no—
638C22×C131—22no—
639C22×C131—22no—
640C22×C131—22no—
641C22×C131—22no—
642C22×C131—22no—
643C22×C131—41no—
644C22×C131—41no—
645C22×C131—41no—
646C22×C131—41no—
647C22×C131—41no—
648C22×C131—41no—
649C22×C131—41no—
650C22×C131—41no—
651C22×C131—41no—
652C22×C131—41no—
653C22×C131—41no—
654C22×C131#52914yes—
655C22×C131C22×#4111yescharacteristic
656C22×C131C22×#4111yescharacteristic
657C22×C131C22×#4111yescharacteristic
658C22×C131C22×#4111yescharacteristic
659C22×C131C22×#4111yescharacteristic
660C22×C131#58511yescharacteristic
661C22×C131#58511yescharacteristic
662C4×C131—22no—
663C4×C131—22no—
664C4×C131—22no—
665C4×C131—22no—
666C4×C131—22no—
667C4×C131—22no—
668C4×C131—22no—
669C4×C131—22no—
670C4×C131—41no—
671C4×C131—41no—
672C4×C131—41no—
673C4×C131—41no—
674C4×C131—41no—
675C4×C131—41no—
676C4×C131—41no—
677C4×C131—41no—
678C4×C131—41no—
679C4×C131—41no—
680C4×C131—41no—
681C4×C131—41no—
682C4×C131—41no—
683C4×C131—41no—
684C4×C131—41no—
685C4×C131—41no—
686C4×C131—41no—
687C4×C131—41no—
688C4×C131—41no—
689C4×C131#52914yes—
690C2×C131—24no—
691C2×C131—42no—
692C2×C131—81no—
693C2×C131C2×#52911yescharacteristic
694C2×C131C2×#52911yescharacteristic
695C2×C131#345511yescharacteristic
696C2×C131#347511yescharacteristic
697C2×C131#347511yescharacteristic
698C2×C131#347511yescharacteristic
699C2×C131#347511yescharacteristic
700#34811C13111yesmaximal, characteristic, direct product factor, Sylow
701C131#3481111yescharacteristic, direct product factor, Sylow
702#2533C2×C13111yescharacteristic, complemented
703#2532C2×C13111yescharacteristic, complemented
704#2531C2×C13111yescharacteristic, complemented
705#2530C2×C13111yescharacteristic, complemented
706#2529C2×C13111yescharacteristic, complemented
707#2528C2×C13111yescharacteristic, complemented
708#2527C2×C13111yescharacteristic, complemented
709#2526C2×C13111yescharacteristic, complemented
710#2510C2×C13111yescharacteristic, complemented
711#2505C2×C13111yescharacteristic, complemented
712#2493C2×C13111yescharacteristic, complemented
713#2488C2×C13111yescharacteristic, complemented
714#2450C2×C13111yescharacteristic, complemented
715#2444C2×C13111yescharacteristic
716#2425C2×C13111yescharacteristic
717#2419C2×C13111yescharacteristic, complemented
718#2402C2×C13111yescharacteristic, complemented
719#2401C2×C13111yescharacteristic, complemented
720#2401C2×C13111yescharacteristic, complemented
721#2398C2×C13111yescharacteristic, complemented
722C4×C22⋊Q8C2×C13111yescharacteristic, complemented
723C4×#123C2×C13111yescharacteristic, complemented
724C4×#123C2×C13111yescharacteristic, complemented
725C4×#121C2×C13111yescharacteristic
726#2298C2×C13111yescharacteristic, complemented
727#2295C2×C13111yescharacteristic, complemented
728#2290C2×C13111yescharacteristic, complemented
729#2290C2×C13111yescharacteristic, complemented
730#2283C2×C13111yescharacteristic, complemented
731C42×D4C2×C13111yescharacteristic, complemented
732C2×#376C2×C13111yescharacteristic, complemented
733C2×#123C22×C13111yescharacteristic
734C2×#123C22×C13111yescharacteristic
735C2×C22⋊Q8C22×C13111yescharacteristic
736C2×#121C22×C13111yescharacteristic
737C2×C4×Q8C22×C13111yescharacteristic
738C2×C4×D4C22×C13111yescharacteristic
739C2×C4×D4C22×C13111yescharacteristic
740C2×C4×D4C22×C13111yescharacteristic
741C2×C4×D4C22×C13111yescharacteristic
742C2×C4×D4C22×C13111yescharacteristic
743C2×#117C22×C13111yescharacteristic
744C22×C42C22×C13111yescharacteristic
745C22×C42C22×C13111yescharacteristic
746C22×C42C22×C13111yescharacteristic
747C22×C42C22×C13111yescharacteristic
748#401C22×C13111yescharacteristic
749#401C22×C13111yescharacteristic
750#400C22×C13111yescharacteristic
751#400C22×C13111yescharacteristic
752#400C22×C13111yescharacteristic
753#400C22×C13111yescharacteristic
754#400C22×C13111yescharacteristic
755#400C22×C13111yescharacteristic
756#400C22×C13111yescharacteristic
757#400C22×C13111yescharacteristic
758#400C22×C13111yescharacteristic
759#400C22×C13111yescharacteristic
760#400C22×C13111yescharacteristic
761#400C22×C13111yescharacteristic
762#398C22×C13111yescharacteristic
763#398C22×C13111yescharacteristic
764#398C22×C13111yescharacteristic
765#398C22×C13111yescharacteristic
766#397C22×C13111yescharacteristic
767#397C22×C13111yescharacteristic
768#397C22×C13111yescharacteristic
769#397C22×C13111yescharacteristic
770#397C22×C13111yescharacteristic
771#397C22×C13111yescharacteristic
772#397C22×C13111yescharacteristic
773#397C22×C13111yescharacteristic
774#396C22×C13111yescharacteristic
775#396C22×C13111yescharacteristic
776#394C22×C13111yescharacteristic
777#394C22×C13111yescharacteristic
778#393C22×C13111yescharacteristic
779#393C22×C13111yescharacteristic
780#391C22×C13111yescharacteristic
781#391C22×C13111yescharacteristic
782#391C22×C13111yescharacteristic
783#390C22×C13111yescharacteristic
784#389C22×C13111yescharacteristic
785#389C22×C13111yescharacteristic
786#389C22×C13111yescharacteristic
787#389C22×C13111yescharacteristic
788#388C22×C13111yescharacteristic
789#388C22×C13111yescharacteristic
790#388C22×C13111yescharacteristic
791#388C22×C13111yescharacteristic
792#388C22×C13111yescharacteristic
793#388C22×C13111yescharacteristic
794#388C22×C13111yescharacteristic
795#388C22×C13111yescharacteristic
796#388C22×C13111yescharacteristic
797#388C22×C13111yescharacteristic
798#388C22×C13111yescharacteristic
799#388C22×C13111yescharacteristic
800#388C22×C13111yescharacteristic
801#388C22×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#387C22×C13111yescharacteristic
819#387C22×C13111yescharacteristic
820#386C22×C13111yescharacteristic
821#386C22×C13111yescharacteristic
822#386C22×C13111yescharacteristic
823#386C22×C13111yescharacteristic
824#386C22×C13111yescharacteristic
825#386C22×C13111yescharacteristic
826#386C22×C13111yescharacteristic
827#386C22×C13111yescharacteristic
828#385C22×C13111yescharacteristic
829#385C22×C13111yescharacteristic
830#385C22×C13111yescharacteristic
831#385C22×C13111yescharacteristic
832#385C22×C13111yescharacteristic
833#385C22×C13111yescharacteristic
834#385C22×C13111yescharacteristic
835#385C22×C13111yescharacteristic
836#383C22×C13111yescharacteristic
837#383C22×C13111yescharacteristic
838#382C22×C13111yescharacteristic
839#382C22×C13111yescharacteristic
840#381C22×C13111yescharacteristic
841#381C22×C13111yescharacteristic
842#381C22×C13111yescharacteristic
843#381C22×C13111yescharacteristic
844#380C22×C13111yescharacteristic
845#380C22×C13111yescharacteristic
846#380C22×C13111yescharacteristic
847#380C22×C13111yescharacteristic
848C4×C4⋊C4C22×C13111yescharacteristic
849C4×C4⋊C4C22×C13111yescharacteristic
850C4×C4⋊C4C22×C13111yescharacteristic
851C4×C4⋊C4C22×C13111yescharacteristic
852C4×C4⋊C4C22×C13111yescharacteristic
853C4×C4⋊C4C22×C13111yescharacteristic
854C4×C4⋊C4C22×C13111yescharacteristic
855C4×C4⋊C4C22×C13111yescharacteristic
856C4×C4⋊C4C22×C13111yescharacteristic
857C4×C4⋊C4C22×C13111yescharacteristic
858C4×C4⋊C4C22×C13111yescharacteristic
859C4×C4⋊C4C22×C13111yescharacteristic
860C4×C22⋊C4C22×C13111yescharacteristic
861C4×C22⋊C4C22×C13111yescharacteristic
862C4×C22⋊C4C22×C13111yescharacteristic
863C4×C22⋊C4C22×C13111yescharacteristic
864C4×C22⋊C4C22×C13111yescharacteristic
865C4×C22⋊C4C22×C13111yescharacteristic
866C4×C22⋊C4C22×C13111yescharacteristic
867C4×C22⋊C4C22×C13111yescharacteristic
868C4×C22⋊C4C22×C13111yescharacteristic
869C4×C22⋊C4C22×C13111yescharacteristic
870C4×C22⋊C4C22×C13111yescharacteristic
871C4×C22⋊C4C22×C13111yescharacteristic
872C4×C22⋊C4C22×C13111yescharacteristic
873C4×C22⋊C4C22×C13111yescharacteristic
874#376C22×C13111yescharacteristic
875#376C22×C13111yescharacteristic
876#376C22×C13111yescharacteristic
877#376C22×C13111yescharacteristic
878#376C22×C13111yescharacteristic
879#376C22×C13111yescharacteristic
880#376C22×C13111yescharacteristic
881#376C22×C13111yescharacteristic
882#376C22×C13111yescharacteristic
883C2×#95C22×C13111yescharacteristic
884C2×#95C22×C13111yescharacteristic
885C2×#95C22×C13111yescharacteristic
886C2×#95C22×C13111yescharacteristic
887C43C22×C13111yescharacteristic
888C22×Q8C23×C13111yescharacteristic
889C22×D4C23×C13111yescharacteristic
890C22×D4C23×C13111yescharacteristic
891C22×D4C23×C13111yescharacteristic
892C23×C4C23×C13111yescharacteristic
893C23×C4C23×C13111yescharacteristic
894C23×C4C23×C13111yescharacteristic
895C23×C4C23×C13111yescharacteristic
896C23×C4C23×C13111yescharacteristic
897C23×C4C23×C13111yescharacteristic
898C23×C4C23×C13111yescharacteristic
899C23×C4C23×C13111yescharacteristic
900C23×C4C23×C13111yescharacteristic
901C23×C4C23×C13111yescharacteristic
902C23×C4C23×C13111yescharacteristic
903#123—24no—
904#123—24no—
905C22⋊Q8—24no—
906#121—24no—
907C4×Q8—24no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—24no—
913#117—24no—
914C2×C4⋊C4C23×C13111yescharacteristic
915C2×C4⋊C4C23×C13111yescharacteristic
916C2×C4⋊C4C23×C13111yescharacteristic
917C2×C4⋊C4C23×C13111yescharacteristic
918C2×C4⋊C4C23×C13111yescharacteristic
919C2×C4⋊C4C23×C13111yescharacteristic
920C2×C4⋊C4C23×C13111yescharacteristic
921C2×C4⋊C4C23×C13111yescharacteristic
922C2×C4⋊C4C23×C13111yescharacteristic
923C2×C4⋊C4C23×C13111yescharacteristic
924C2×C4⋊C4C23×C13111yescharacteristic
925C2×C4⋊C4C23×C13111yescharacteristic
926C2×C4⋊C4C23×C13111yescharacteristic
927C2×C4⋊C4C23×C13111yescharacteristic
928C2×C4⋊C4C23×C13111yescharacteristic
929C2×C4⋊C4C23×C13111yescharacteristic
930C2×C4⋊C4C23×C13111yescharacteristic
931C2×C4⋊C4C23×C13111yescharacteristic
932C2×C4⋊C4C23×C13111yescharacteristic
933C2×C4⋊C4C23×C13111yescharacteristic
934C2×C4⋊C4C23×C13111yescharacteristic
935C2×C4⋊C4C23×C13111yescharacteristic
936C2×C4⋊C4C23×C13111yescharacteristic
937C2×C4⋊C4C23×C13111yescharacteristic
938C2×C4⋊C4C23×C13111yescharacteristic
939C2×C4⋊C4C23×C13111yescharacteristic
940C2×C4⋊C4C23×C13111yescharacteristic
941C2×C4⋊C4C23×C13111yescharacteristic
942C2×C22⋊C4C23×C13111yescharacteristic
943C2×C22⋊C4C23×C13111yescharacteristic
944C2×C22⋊C4C23×C13111yescharacteristic
945C2×C22⋊C4C23×C13111yescharacteristic
946C2×C22⋊C4C23×C13111yescharacteristic
947C2×C22⋊C4C23×C13111yescharacteristic
948C2×C22⋊C4C23×C13111yescharacteristic
949C2×C22⋊C4C23×C13111yescharacteristic
950C2×C22⋊C4C23×C13111yescharacteristic
951C2×C22⋊C4C23×C13111yescharacteristic
952C2×C22⋊C4C23×C13111yescharacteristic
953C2×C22⋊C4C23×C13111yescharacteristic
954C2×C22⋊C4C23×C13111yescharacteristic
955C2×C22⋊C4C23×C13111yescharacteristic
956C2×C22⋊C4C23×C13111yescharacteristic
957C2×C22⋊C4C23×C13111yescharacteristic
958C2×C22⋊C4C23×C13111yescharacteristic
959C2×C22⋊C4C23×C13111yescharacteristic
960C2×C22⋊C4C23×C13111yescharacteristic
961C2×C22⋊C4C23×C13111yescharacteristic
962C2×C22⋊C4C23×C13111yescharacteristic
963C2×C22⋊C4C23×C13111yescharacteristic
964C2×C22⋊C4C23×C13111yescharacteristic
965C2×C22⋊C4C23×C13111yescharacteristic
966C2×C22⋊C4C23×C13111yescharacteristic
967C2×C22⋊C4C23×C13111yescharacteristic
968C2×C22⋊C4C23×C13111yescharacteristic
969C2×C22⋊C4C23×C13111yescharacteristic
970C2×C42—24no—
971C2×C42—24no—
972C2×C42—24no—
973C2×C42—24no—
974C2×C42C23×C13111yescharacteristic
975C2×C42C23×C13111yescharacteristic
976C2×C42C23×C13111yescharacteristic
977C2×C42C23×C13111yescharacteristic
978C2×C42C23×C13111yescharacteristic
979C2×C42C23×C13111yescharacteristic
980C2×C42C23×C13111yescharacteristic
981C2×C42C23×C13111yescharacteristic
982C2×C42C23×C13111yescharacteristic
983C2×C42C23×C13111yescharacteristic
984C2×C42C23×C13111yescharacteristic
985C2×C42C23×C13111yescharacteristic
986C2×C42C23×C13111yescharacteristic
987C2×C42C23×C13111yescharacteristic
988C2×C42C23×C13111yescharacteristic
989C2×C42C23×C13111yescharacteristic
990C2×C42C23×C13111yescharacteristic
991C2×C42C23×C13111yescharacteristic
992C2×C42C23×C13111yescharacteristic
993C2×C42C23×C13111yescharacteristic
994C2×C42C23×C13111yescharacteristic
995C2×C42C23×C13111yescharacteristic
996C2×C42C23×C13111yescharacteristic
997C2×C42C23×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
1010#95C23×C13111yescharacteristic
1011#95C23×C13111yescharacteristic
1012#95C23×C13111yescharacteristic
1013#95C23×C13111yescharacteristic
1014#95C23×C13111yescharacteristic
1015#95C23×C13111yescharacteristic
1016#95C23×C13111yescharacteristic
1017#95C23×C13111yescharacteristic
1018#95C23×C13111yescharacteristic
1019#95C23×C13111yescharacteristic
1020#95C23×C13111yescharacteristic
1021#95C23×C13111yescharacteristic
1022#95C23×C13111yescharacteristic
1023#95C23×C13111yescharacteristic
1024#95C23×C13111yescharacteristic
1025#95C23×C13111yescharacteristic
1026#95C23×C13111yescharacteristic
1027#95C23×C13111yescharacteristic
1028#95C23×C13111yescharacteristic
1029#95C23×C13111yescharacteristic
1030#95C23×C13111yescharacteristic
1031#95C23×C13111yescharacteristic
1032#95C23×C13111yescharacteristic
1033#95C23×C13111yescharacteristic
1034#95C23×C13111yescharacteristic
1035#95C23×C13111yescharacteristic
1036#95C23×C13111yescharacteristic
1037#95C23×C13111yescharacteristic
1038#95C23×C13111yescharacteristic
1039#95C23×C13111yescharacteristic
1040#95C23×C13111yescharacteristic
1041#95C23×C13111yescharacteristic
1042#95C23×C13111yescharacteristic
1043#95C23×C13111yescharacteristic
1044#95C23×C13111yescharacteristic
1045#95C23×C13111yescharacteristic
1046#95C23×C13111yescharacteristic
1047#95C23×C13111yescharacteristic
1048#95C23×C13111yescharacteristic
1049#95C23×C13111yescharacteristic
1050#95C23×C13111yescharacteristic
1051#95C23×C13111yescharacteristic
1052#95C23×C13111yescharacteristic
1053#95C23×C13111yescharacteristic
1054#95C23×C13111yescharacteristic
1055#95C23×C13111yescharacteristic
1056#95C23×C13111yescharacteristic
1057#95C23×C13111yescharacteristic
1058C24C24×C13111yescharacteristic
1059C24C24×C13111yescharacteristic
1060C24C24×C13111yescharacteristic
1061C2×Q8—22no—
1062C2×Q8—22no—
1063C2×Q8—41no—
1064C2×D4—22no—
1065C2×D4—22no—
1066C2×D4—22no—
1067C2×D4—22no—
1068C2×D4—22no—
1069C2×D4—22no—
1070C2×D4—22no—
1071C2×D4—41no—
1072C2×D4#41×C13114yes—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4#41×C13114yes—
1106C22×C4C24×C13111yescharacteristic
1107C22×C4C24×C13111yescharacteristic
1108C22×C4C24×C13111yescharacteristic
1109C22×C4C24×C13111yescharacteristic
1110C22×C4C24×C13111yescharacteristic
1111C22×C4C24×C13111yescharacteristic
1112C22×C4C24×C13111yescharacteristic
1113C22×C4C24×C13111yescharacteristic
1114C22×C4C24×C13111yescharacteristic
1115C22×C4C24×C13111yescharacteristic
1116C22×C4C24×C13111yescharacteristic
1117C22×C4C24×C13111yescharacteristic
1118C22×C4C24×C13111yescharacteristic
1119C22×C4C24×C13111yescharacteristic
1120C22×C4C24×C13111yescharacteristic
1121C22×C4C24×C13111yescharacteristic
1122C22×C4C24×C13111yescharacteristic
1123C22×C4C24×C13111yescharacteristic
1124C22×C4C24×C13111yescharacteristic
1125C22×C4C24×C13111yescharacteristic
1126C22×C4C24×C13111yescharacteristic
1127C22×C4C24×C13111yescharacteristic
1128C22×C4C24×C13111yescharacteristic
1129C22×C4C24×C13111yescharacteristic
1130C22×C4C24×C13111yescharacteristic
1131C22×C4C24×C13111yescharacteristic
1132C22×C4C24×C13111yescharacteristic
1133C22×C4C24×C13111yescharacteristic
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—22no—
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—22no—
1142C4⋊C4—22no—
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—22no—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—22no—
1175C22⋊C4—22no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—22no—
1181C22⋊C4—41no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—41no—
1185C22⋊C4—41no—
1186C22⋊C4—41no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4#41×C13114yes—
1190C42—22no—
1191C42—22no—
1192C42—22no—
1193C42—22no—
1194C42—22no—
1195C42—22no—
1196C42—22no—
1197C42—22no—
1198C42—22no—
1199C42—22no—
1200C42—22no—
1201C42—22no—
1202C42—22no—
1203C42—22no—
1204C42—22no—
1205C42—22no—
1206C42—22no—
1207C42—22no—
1208C42—22no—
1209C42—22no—
1210C42—41no—
1211C42—41no—
1212C42#41×C13114yes—
1213C42#41×C13114yes—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23C2×#41×C13112yes—
1232C23C2×#41×C13112yes—
1233C23C2×#41×C13112yes—
1234C23C2×#41×C13112yes—
1235C23C25×C13111yescharacteristic
1236Q8—44no—
1237D4—28no—
1238D4—44no—
1239D4—44no—
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—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—28no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—44no—
1315C2×C4—44no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4—44no—
1319C2×C4—44no—
1320C2×C4—44no—
1321C2×C4—44no—
1322C2×C4—44no—
1323C2×C4—44no—
1324C2×C4C2×#41×C13112yes—
1325C2×C4C2×#41×C13112yes—
1326C2×C4C2×#41×C13112yes—
1327C2×C4C2×#41×C13112yes—
1328C2×C4C2×#41×C13112yes—
1329C2×C4C2×#41×C13112yes—
1330C2×C4C2×#41×C13112yes—
1331C2×C4C2×#41×C13112yes—
1332C2×C4C2×#41×C13112yes—
1333C2×C4C2×#41×C13112yes—
1334C2×C4C2×#41×C13112yes—
1335C22—22no—
1336C22—22no—
1337C22—22no—
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—22no—
1343C22—22no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22#529×C13114yes—
1356C22C22×#41×C13111yescharacteristic
1357C22C22×#41×C13111yescharacteristic
1358C22C22×#41×C13111yescharacteristic
1359C22C22×#41×C13111yescharacteristic
1360C22C22×#41×C13111yescharacteristic
1361C22#585×C13111yescharacteristic
1362C22#585×C13111yescharacteristic
1363C4—22no—
1364C4—22no—
1365C4—22no—
1366C4—22no—
1367C4—22no—
1368C4—22no—
1369C4—22no—
1370C4—22no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—41no—
1390C4#529×C13114yes—
1391C2—24no—
1392C2—42no—
1393C2—81no—
1394C2C2×#529×C13111yescharacteristic
1395C2C2×#529×C13111yescharacteristic
1396C2#3455×C13111yescharacteristic
1397C2#3475×C13111yescharacteristic
1398C2#3475×C13111yescharacteristic
1399C2#3475×C13111yescharacteristic
1400C2#3475×C13111yescharacteristic
subgroupG/H
centerC22×C4×C131C24
commutator, Frattini, cosocleC23C25×C131
socleC23×C131C25
prime radicalC2×#121×C131C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C131 ◁ G

Complements

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

NH ≅ G/Ntype
1. #2533×C131C2semidirect
2. #2532×C131C2semidirect
3. #2531×C131C2semidirect
4. #2530×C131C2semidirect
5. #2529×C131C2semidirect
6. #2528×C131C2semidirect
7. #2527×C131C2semidirect
8. #2526×C131C2semidirect
9. #2510×C131C2semidirect
10. #2505×C131C2semidirect
11. #2493×C131C2semidirect
12. #2488×C131C2semidirect
13. #2450×C131C2semidirect
16. #2419×C131C2semidirect
17. #2402×C131C2semidirect
18. #2401×C131C2semidirect
19. #2401×C131C2semidirect
20. #2398×C131C2semidirect
21. C4×C22⋊Q8×C131C2semidirect
22. C4×#123×C131C2semidirect
23. C4×#123×C131C2semidirect
25. #2298×C131C2semidirect
26. #2295×C131C2semidirect
27. #2290×C131C2semidirect
28. #2290×C131C2semidirect
29. #2283×C131C2semidirect
30. C42×D4×C131C2semidirect
31. C2×#376×C131C2semidirect
700. #34811C131direct (N × H)
701. C131#34811direct (N × H)
702. #2533C2×C131semidirect
703. #2532C2×C131semidirect
704. #2531C2×C131semidirect
705. #2530C2×C131semidirect
706. #2529C2×C131semidirect
707. #2528C2×C131semidirect
708. #2527C2×C131semidirect
709. #2526C2×C131semidirect
710. #2510C2×C131semidirect
711. #2505C2×C131semidirect
712. #2493C2×C131semidirect
713. #2488C2×C131semidirect
714. #2450C2×C131semidirect
717. #2419C2×C131semidirect
718. #2402C2×C131semidirect
719. #2401C2×C131semidirect
720. #2401C2×C131semidirect
721. #2398C2×C131semidirect
722. C4×C22⋊Q8C2×C131semidirect
723. C4×#123C2×C131semidirect
724. C4×#123C2×C131semidirect
726. #2298C2×C131semidirect
727. #2295C2×C131semidirect
728. #2290C2×C131semidirect
729. #2290C2×C131semidirect
730. #2283C2×C131semidirect
731. C42×D4C2×C131semidirect
732. C2×#376C2×C131semidirect

Maximal subgroups

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

subgroupindex
#2533×C1312
#2532×C1312
#2531×C1312
#2530×C1312
#2529×C1312
#2528×C1312
#2527×C1312
#2526×C1312
#2510×C1312
#2505×C1312
#2493×C1312
#2488×C1312
#2450×C1312
#2444×C1312
#2425×C1312
#2419×C1312
#2402×C1312
#2401×C1312
#2398×C1312
C4×C22⋊Q8×C1312
C4×#123×C1312
C4×#121×C1312
#2298×C1312
#2295×C1312
#2290×C1312
#2283×C1312
C42×D4×C1312
C2×#376×C1312
#34811131