Finite Group Databasebeta

← C131×#34670 #45720554

Subgroups — C131×#34670 #45720554

Order 33536.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#529×C131C211yesmaximal, characteristic, complemented
2C22×C4×D4×C131C211yesmaximal, characteristic, complemented
3#2481×C131C211yesmaximal, characteristic, complemented
4#2480×C131C211yesmaximal, characteristic, complemented
5#2473×C131C211yesmaximal, characteristic, complemented
6#2472×C131C211yesmaximal, characteristic, complemented
7#2467×C131C211yesmaximal, characteristic, complemented
8#2466×C131C211yesmaximal, characteristic, complemented
9#2460×C131C211yesmaximal, characteristic, complemented
10#2459×C131C211yesmaximal, characteristic, complemented
11#2450×C131C211yesmaximal, characteristic, complemented
12#2444×C131C211yesmaximal, characteristic, complemented
13#2437×C131C211yesmaximal, characteristic, complemented
14#2425×C131C211yesmaximal, characteristic, complemented
15#2419×C131C211yesmaximal, characteristic, complemented
16#2412×C131C211yesmaximal, characteristic, complemented
17#2410×C131C211yesmaximal, characteristic
18#2405×C131C211yesmaximal, characteristic, complemented
19#2398×C131C211yesmaximal, characteristic, complemented
20#2395×C131C211yesmaximal, characteristic, complemented
21#2392×C131C211yesmaximal, characteristic, complemented
22#2392×C131C211yesmaximal, characteristic, complemented
23C4×C22⋊Q8×C131C211yesmaximal, characteristic, complemented
24C4×#123×C131C211yesmaximal, characteristic, complemented
25C4×#121×C131C211yesmaximal, characteristic, complemented
26C4×#120×C131C211yesmaximal, characteristic, complemented
27C4×#120×C131C211yesmaximal, characteristic, complemented
28#2290×C131C211yesmaximal, characteristic, complemented
29#2290×C131C211yesmaximal, characteristic, complemented
30#2280×C131C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C131C211yesmaximal, characteristic, complemented
32C23×D4×C131C2211yescharacteristic
33C24×C4×C131C2211yescharacteristic
34C24×C4×C131C2211yescharacteristic
35#529×C131—28no—
36C2×#126×C131C2211yescharacteristic, complemented
37C2×#126×C131C2211yescharacteristic, complemented
38C2×#125×C131C2211yescharacteristic, complemented
39C2×#124×C131C2211yescharacteristic, complemented
40C2×#123×C131C2211yescharacteristic
41C2×#123×C131C2211yescharacteristic
42C2×#123×C131C2211yescharacteristic, complemented
43C2×C22⋊Q8×C131C2211yescharacteristic
44C2×C22⋊Q8×C131C2211yescharacteristic, complemented
45C2×#121×C131C2211yescharacteristic
46C2×#121×C131C2211yescharacteristic
47C2×#120×C131C2211yescharacteristic
48C2×#120×C131C2211yescharacteristic
49C2×C4×Q8×C131C2211yescharacteristic, complemented
50C2×C4×D4×C131—28no—
51C2×C4×D4×C131C2211yescharacteristic
52C2×C4×D4×C131C2211yescharacteristic
53C2×C4×D4×C131C2211yescharacteristic
54C2×C4×D4×C131C2211yescharacteristic
55C2×C4×D4×C131C2211yescharacteristic
56C2×C4×D4×C131C2211yescharacteristic
57C2×C4×D4×C131C2211yescharacteristic
58C2×C4×D4×C131C2211yescharacteristic
59C2×C4×D4×C131C2211yescharacteristic
60C2×C4×D4×C131C2211yescharacteristic, complemented
61C2×C4×D4×C131C2211yescharacteristic, complemented
62C2×C4×D4×C131C2211yescharacteristic, complemented
63C2×C4×D4×C131C2211yescharacteristic, complemented
64C2×#117×C131C2211yescharacteristic, complemented
65C2×#117×C131C2211yescharacteristic, complemented
66C2×#117×C131C2211yescharacteristic, complemented
67C22×C4⋊C4×C131C2211yescharacteristic
68C22×C22⋊C4×C131C2211yescharacteristic
69C22×C22⋊C4×C131C2211yescharacteristic
70C22×C22⋊C4×C131C2211yescharacteristic
71C22×C22⋊C4×C131C2211yescharacteristic
72C22×C42×C131C2211yescharacteristic
73C22×C42×C131C2211yescharacteristic, complemented
74C22×C42×C131C2211yescharacteristic, complemented
75#400×C131C2211yescharacteristic, complemented
76#400×C131C2211yescharacteristic, complemented
77#400×C131C2211yescharacteristic, complemented
78#399×C131C2211yescharacteristic, complemented
79#398×C131C2211yescharacteristic, complemented
80#398×C131C2211yescharacteristic, complemented
81#398×C131C2211yescharacteristic, complemented
82#397×C131C2211yescharacteristic, complemented
83#397×C131C2211yescharacteristic, complemented
84#397×C131C2211yescharacteristic, complemented
85#397×C131C2211yescharacteristic, complemented
86#397×C131C2211yescharacteristic, complemented
87#397×C131C2211yescharacteristic, complemented
88#397×C131C2211yescharacteristic, complemented
89#396×C131C2211yescharacteristic, complemented
90#396×C131C2211yescharacteristic, complemented
91#396×C131C2211yescharacteristic, complemented
92#396×C131C2211yescharacteristic, complemented
93#394×C131C2211yescharacteristic
94#394×C131C2211yescharacteristic
95#394×C131C2211yescharacteristic
96#394×C131C2211yescharacteristic
97#394×C131C2211yescharacteristic
98#394×C131C2211yescharacteristic
99#394×C131C2211yescharacteristic, complemented
100#394×C131C2211yescharacteristic, complemented
101#394×C131C2211yescharacteristic, complemented
102#394×C131C2211yescharacteristic, complemented
103#393×C131C2211yescharacteristic, complemented
104#393×C131C2211yescharacteristic, complemented
105#392×C131C2211yescharacteristic
106#392×C131C2211yescharacteristic
107#391×C131C2211yescharacteristic, complemented
108#390×C131C2211yescharacteristic, complemented
109#389×C131C2211yescharacteristic, complemented
110#389×C131C2211yescharacteristic, complemented
111#388×C131C2211yescharacteristic, complemented
112#388×C131C2211yescharacteristic, complemented
113#388×C131C2211yescharacteristic, complemented
114#388×C131C2211yescharacteristic, complemented
115#388×C131C2211yescharacteristic, complemented
116#388×C131C2211yescharacteristic, complemented
117#388×C131C2211yescharacteristic, complemented
118#388×C131C2211yescharacteristic, complemented
119#387×C131C2211yescharacteristic, complemented
120#387×C131C2211yescharacteristic, complemented
121#387×C131C2211yescharacteristic, complemented
122#387×C131C2211yescharacteristic, complemented
123#387×C131C2211yescharacteristic, complemented
124#387×C131C2211yescharacteristic, complemented
125#387×C131C2211yescharacteristic, complemented
126#387×C131C2211yescharacteristic, complemented
127#386×C131C2211yescharacteristic
128#386×C131C2211yescharacteristic
129#386×C131C2211yescharacteristic
130#386×C131C2211yescharacteristic
131#386×C131C2211yescharacteristic
132#386×C131C2211yescharacteristic
133#386×C131C2211yescharacteristic
134#386×C131C2211yescharacteristic
135#386×C131C2211yescharacteristic, complemented
136#386×C131C2211yescharacteristic, complemented
137#386×C131C2211yescharacteristic, complemented
138#386×C131C2211yescharacteristic, complemented
139#386×C131C2211yescharacteristic, complemented
140#385×C131C2211yescharacteristic
141#385×C131C2211yescharacteristic
142#385×C131C2211yescharacteristic
143#385×C131C2211yescharacteristic
144#385×C131C2211yescharacteristic
145#385×C131C2211yescharacteristic
146#385×C131C2211yescharacteristic, complemented
147#385×C131C2211yescharacteristic, complemented
148#385×C131C2211yescharacteristic, complemented
149#385×C131C2211yescharacteristic, complemented
150#385×C131C2211yescharacteristic, complemented
151#385×C131C2211yescharacteristic, complemented
152#385×C131C2211yescharacteristic, complemented
153#381×C131C2211yescharacteristic, complemented
154#381×C131C2211yescharacteristic, complemented
155#381×C131C2211yescharacteristic, complemented
156#380×C131C2211yescharacteristic
157#380×C131C2211yescharacteristic
158#380×C131C2211yescharacteristic
159#380×C131C2211yescharacteristic, complemented
160#380×C131C2211yescharacteristic, complemented
161#380×C131C2211yescharacteristic, complemented
162#379×C131C2211yescharacteristic
163#379×C131C2211yescharacteristic
164#379×C131C2211yescharacteristic
165#379×C131C2211yescharacteristic
166C4×C4⋊C4×C131C2211yescharacteristic, complemented
167C4×C4⋊C4×C131C2211yescharacteristic, complemented
168C4×C4⋊C4×C131C2211yescharacteristic, complemented
169C4×C4⋊C4×C131C2211yescharacteristic, complemented
170C4×C22⋊C4×C131C2211yescharacteristic
171C4×C22⋊C4×C131C2211yescharacteristic
172C4×C22⋊C4×C131C2211yescharacteristic
173C4×C22⋊C4×C131C2211yescharacteristic
174C4×C22⋊C4×C131C2211yescharacteristic
175C4×C22⋊C4×C131C2211yescharacteristic, complemented
176C4×C22⋊C4×C131C2211yescharacteristic, complemented
177C4×C22⋊C4×C131C2211yescharacteristic, complemented
178C4×C22⋊C4×C131C2211yescharacteristic, complemented
179C4×C22⋊C4×C131C2211yescharacteristic, complemented
180C4×C22⋊C4×C131C2211yescharacteristic, complemented
181C4×C22⋊C4×C131C2211yescharacteristic, complemented
182C4×C22⋊C4×C131C2211yescharacteristic, complemented
183C4×C22⋊C4×C131C2211yescharacteristic, complemented
184C4×C22⋊C4×C131C2211yescharacteristic, complemented
185C4×C22⋊C4×C131C2211yescharacteristic, complemented
186#376×C131C2211yescharacteristic, complemented
187C2×#95×C131C2211yescharacteristic, complemented
188C2×#95×C131C2211yescharacteristic, complemented
189C25×C131C2311yescharacteristic
190C25×C131C2311yescharacteristic
191C22×Q8×C131C2311yescharacteristic
192C22×D4×C131—24no—
193C22×D4×C131—24no—
194C22×D4×C131—24no—
195C22×D4×C131C2311yescharacteristic
196C22×D4×C131C2311yescharacteristic
197C22×D4×C131C2311yescharacteristic
198C22×D4×C131C2311yescharacteristic
199C22×D4×C131C2311yescharacteristic
200C22×D4×C131C2311yescharacteristic
201C22×D4×C131C2311yescharacteristic
202C22×D4×C131C2311yescharacteristic
203C22×D4×C131C2311yescharacteristic
204C23×C4×C131—24no—
205C23×C4×C131—24no—
206C23×C4×C131—24no—
207C23×C4×C131—24no—
208C23×C4×C131—42no—
209C23×C4×C131—42no—
210C23×C4×C131C2311yescharacteristic
211C23×C4×C131C2311yescharacteristic
212C23×C4×C131C2311yescharacteristic
213C23×C4×C131C2311yescharacteristic
214C23×C4×C131C2311yescharacteristic
215C23×C4×C131C2311yescharacteristic
216C23×C4×C131C2311yescharacteristic
217C23×C4×C131C2311yescharacteristic
218C23×C4×C131C2311yescharacteristic
219C23×C4×C131C2311yescharacteristic
220C23×C4×C131C2311yescharacteristic
221C23×C4×C131C2311yescharacteristic
222C23×C4×C131C2311yescharacteristic
223C23×C4×C131C2311yescharacteristic
224C23×C4×C131C2311yescharacteristic
225C23×C4×C131C2311yescharacteristic
226C23×C4×C131C2311yescharacteristic
227C23×C4×C131C2311yescharacteristic
228#126×C131—24no—
229#126×C131—24no—
230#125×C131—24no—
231#124×C131—24no—
232#123×C131—24no—
233#123×C131—24no—
234#123×C131—24no—
235C22⋊Q8×C131—24no—
236C22⋊Q8×C131—24no—
237#121×C131—24no—
238#121×C131—24no—
239#120×C131—24no—
240#120×C131—24no—
241C4×Q8×C131—24no—
242C4×D4×C131—24no—
243C4×D4×C131—24no—
244C4×D4×C131—24no—
245C4×D4×C131—24no—
246C4×D4×C131—24no—
247C4×D4×C131—24no—
248C4×D4×C131—24no—
249C4×D4×C131—24no—
250C4×D4×C131—24no—
251C4×D4×C131—24no—
252C4×D4×C131—42no—
253C4×D4×C131—42no—
254C4×D4×C131D418yescomplemented
255#117×C131—24no—
256#117×C131—24no—
257#117×C131—42no—
258C2×C4⋊C4×C131—24no—
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×C4⋊C4×C131C2311yescharacteristic
273C2×C4⋊C4×C131C2311yescharacteristic
274C2×C4⋊C4×C131C2311yescharacteristic
275C2×C4⋊C4×C131C2311yescharacteristic
276C2×C4⋊C4×C131C2311yescharacteristic
277C2×C4⋊C4×C131C2311yescharacteristic
278C2×C4⋊C4×C131C2311yescharacteristic
279C2×C4⋊C4×C131C2311yescharacteristic
280C2×C4⋊C4×C131C2311yescharacteristic
281C2×C4⋊C4×C131C2311yescharacteristic
282C2×C4⋊C4×C131C2311yescharacteristic
283C2×C4⋊C4×C131C2311yescharacteristic
284C2×C4⋊C4×C131C2311yescharacteristic
285C2×C22⋊C4×C131—24no—
286C2×C22⋊C4×C131—24no—
287C2×C22⋊C4×C131—24no—
288C2×C22⋊C4×C131—24no—
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×C22⋊C4×C131C2311yescharacteristic
325C2×C22⋊C4×C131C2311yescharacteristic
326C2×C22⋊C4×C131C2311yescharacteristic
327C2×C22⋊C4×C131C2311yescharacteristic
328C2×C22⋊C4×C131C2311yescharacteristic
329C2×C22⋊C4×C131C2311yescharacteristic
330C2×C22⋊C4×C131C2311yescharacteristic
331C2×C22⋊C4×C131C2311yescharacteristic
332C2×C22⋊C4×C131C2311yescharacteristic
333C2×C22⋊C4×C131C2311yescharacteristic
334C2×C22⋊C4×C131C2311yescharacteristic
335C2×C22⋊C4×C131C2311yescharacteristic
336C2×C22⋊C4×C131C2311yescharacteristic
337C2×C42×C131—24no—
338C2×C42×C131—24no—
339C2×C42×C131—42no—
340C2×C42×C131C2311yescharacteristic
341C2×C42×C131C2311yescharacteristic
342C2×C42×C131C2311yescharacteristic
343C2×C42×C131C2311yescharacteristic
344C2×C42×C131C2311yescharacteristic
345C2×C42×C131C2311yescharacteristic
346C2×C42×C131C2311yescharacteristic
347C2×C42×C131C2311yescharacteristic
348C2×C42×C131C2311yescharacteristic
349C2×C42×C131C2311yescharacteristic
350C2×C42×C131C2311yescharacteristic
351C2×C42×C131C2311yescharacteristic
352C2×C42×C131C2311yescharacteristic
353C2×C42×C131C2311yescharacteristic
354C2×C42×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
369#95×C131C2311yescharacteristic
370#95×C131C2311yescharacteristic
371#95×C131C2311yescharacteristic
372#95×C131C2311yescharacteristic
373#95×C131C2311yescharacteristic
374#95×C131C2311yescharacteristic
375#95×C131C2311yescharacteristic
376#95×C131C2311yescharacteristic
377#95×C131C2311yescharacteristic
378#95×C131C2311yescharacteristic
379#95×C131C2311yescharacteristic
380#95×C131C2311yescharacteristic
381#95×C131C2311yescharacteristic
382#95×C131C2311yescharacteristic
383#95×C131C2311yescharacteristic
384#95×C131C2311yescharacteristic
385#95×C131C2311yescharacteristic
386#95×C131C2311yescharacteristic
387#95×C131C2311yescharacteristic
388#95×C131C2311yescharacteristic
389#95×C131C2311yescharacteristic
390#95×C131C2311yescharacteristic
391C24×C131—22no—
392C24×C131—22no—
393C24×C131—22no—
394C24×C131—22no—
395C24×C131—22no—
396C24×C131—22no—
397C24×C131—22no—
398C24×C131—22no—
399C24×C131—22no—
400C24×C131—41no—
401C24×C131—41no—
402C24×C131—41no—
403C24×C131—41no—
404C24×C131#4114yes—
405C24×C131C2411yescharacteristic
406C24×C131C2411yescharacteristic
407C24×C131C2411yescharacteristic
408C24×C131C2411yescharacteristic
409C24×C131C2411yescharacteristic
410C24×C131C2411yescharacteristic
411C2×Q8×C131—22no—
412C2×Q8×C131—22no—
413C2×Q8×C131—41no—
414C2×D4×C131—232no—
415C2×D4×C131—22no—
416C2×D4×C131—22no—
417C2×D4×C131—22no—
418C2×D4×C131—22no—
419C2×D4×C131—22no—
420C2×D4×C131—22no—
421C2×D4×C131—22no—
422C2×D4×C131—22no—
423C2×D4×C131—22no—
424C2×D4×C131—22no—
425C2×D4×C131—22no—
426C2×D4×C131—22no—
427C2×D4×C131—22no—
428C2×D4×C131—22no—
429C2×D4×C131—22no—
430C2×D4×C131—22no—
431C2×D4×C131—22no—
432C2×D4×C131—22no—
433C2×D4×C131—22no—
434C2×D4×C131—22no—
435C2×D4×C131—22no—
436C2×D4×C131—41no—
437C2×D4×C131—41no—
438C2×D4×C131—41no—
439C2×D4×C131—41no—
440C2×D4×C131C2×D414yes—
441C2×D4×C131#4114yes—
442C22×C4×C131—22no—
443C22×C4×C131—22no—
444C22×C4×C131—22no—
445C22×C4×C131—22no—
446C22×C4×C131—22no—
447C22×C4×C131—22no—
448C22×C4×C131—22no—
449C22×C4×C131—22no—
450C22×C4×C131—22no—
451C22×C4×C131—22no—
452C22×C4×C131—22no—
453C22×C4×C131—22no—
454C22×C4×C131—22no—
455C22×C4×C131—22no—
456C22×C4×C131—22no—
457C22×C4×C131—22no—
458C22×C4×C131—22no—
459C22×C4×C131—22no—
460C22×C4×C131—22no—
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—22no—
481C22×C4×C131—22no—
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—41no—
489C22×C4×C131—41no—
490C22×C4×C131—41no—
491C22×C4×C131—41no—
492C22×C4×C131—41no—
493C22×C4×C131—416no—
494C22×C4×C131—416no—
495C22×C4×C131C2×D414yes—
496C22×C4×C131C2×D414yes—
497C22×C4×C131#4114yes—
498C22×C4×C131C2411yescharacteristic
499C22×C4×C131C2411yescharacteristic
500C22×C4×C131C2411yescharacteristic
501C22×C4×C131C2411yescharacteristic
502C22×C4×C131C2411yescharacteristic
503C22×C4×C131C2411yescharacteristic
504C22×C4×C131C2411yescharacteristic
505C22×C4×C131C2411yescharacteristic
506C22×C4×C131C2411yescharacteristic
507C22×C4×C131C2411yescharacteristic
508C22×C4×C131C2411yescharacteristic
509C22×C4×C131C2411yescharacteristic
510C22×C4×C131C2411yescharacteristic
511C22×C4×C131C2411yescharacteristic
512C22×C4×C131C2411yescharacteristic
513C22×C4×C131C2411yescharacteristic
514C22×C4×C131C2411yescharacteristic
515C22×C4×C131C2411yescharacteristic
516C22×C4×C131C2411yescharacteristic
517C22×C4×C131C2411yescharacteristic
518C22×C4×C131C2411yescharacteristic
519C22×C4×C131C2411yescharacteristic
520C22×C4×C131C2411yescharacteristic
521C22×C4×C131C2411yescharacteristic
522C22×C4×C131C2411yescharacteristic
523C4⋊C4×C131—22no—
524C4⋊C4×C131—22no—
525C4⋊C4×C131—22no—
526C4⋊C4×C131—22no—
527C4⋊C4×C131—22no—
528C4⋊C4×C131—22no—
529C4⋊C4×C131—22no—
530C4⋊C4×C131—22no—
531C4⋊C4×C131—22no—
532C4⋊C4×C131—22no—
533C4⋊C4×C131—22no—
534C4⋊C4×C131—22no—
535C4⋊C4×C131—22no—
536C4⋊C4×C131—22no—
537C4⋊C4×C131—22no—
538C4⋊C4×C131—22no—
539C4⋊C4×C131—22no—
540C4⋊C4×C131—22no—
541C4⋊C4×C131—22no—
542C4⋊C4×C131—41no—
543C4⋊C4×C131—41no—
544C4⋊C4×C131—41no—
545C4⋊C4×C131—41no—
546C4⋊C4×C131—41no—
547C4⋊C4×C131—41no—
548C4⋊C4×C131C2×D414yes—
549C22⋊C4×C131—22no—
550C22⋊C4×C131—22no—
551C22⋊C4×C131—22no—
552C22⋊C4×C131—22no—
553C22⋊C4×C131—22no—
554C22⋊C4×C131—22no—
555C22⋊C4×C131—22no—
556C22⋊C4×C131—22no—
557C22⋊C4×C131—22no—
558C22⋊C4×C131—22no—
559C22⋊C4×C131—22no—
560C22⋊C4×C131—22no—
561C22⋊C4×C131—22no—
562C22⋊C4×C131—22no—
563C22⋊C4×C131—22no—
564C22⋊C4×C131—22no—
565C22⋊C4×C131—22no—
566C22⋊C4×C131—22no—
567C22⋊C4×C131—22no—
568C22⋊C4×C131—22no—
569C22⋊C4×C131—22no—
570C22⋊C4×C131—22no—
571C22⋊C4×C131—22no—
572C22⋊C4×C131—22no—
573C22⋊C4×C131—22no—
574C22⋊C4×C131—22no—
575C22⋊C4×C131—22no—
576C22⋊C4×C131—22no—
577C22⋊C4×C131—22no—
578C22⋊C4×C131—22no—
579C22⋊C4×C131—22no—
580C22⋊C4×C131—22no—
581C22⋊C4×C131—22no—
582C22⋊C4×C131—22no—
583C22⋊C4×C131—41no—
584C22⋊C4×C131—41no—
585C22⋊C4×C131—41no—
586C22⋊C4×C131—41no—
587C22⋊C4×C131—41no—
588C22⋊C4×C131—41no—
589C22⋊C4×C131—41no—
590C22⋊C4×C131—41no—
591C22⋊C4×C131—41no—
592C22⋊C4×C131—41no—
593C22⋊C4×C131—41no—
594C22⋊C4×C131C2×D414yes—
595C22⋊C4×C131C2×D414yes—
596C22⋊C4×C131#4114yes—
597C42×C131—22no—
598C42×C131—22no—
599C42×C131—22no—
600C42×C131—22no—
601C42×C131—22no—
602C42×C131—22no—
603C42×C131—22no—
604C42×C131—22no—
605C42×C131—22no—
606C42×C131—22no—
607C42×C131—22no—
608C42×C131—22no—
609C42×C131—41no—
610C42×C131—41no—
611C42×C131C2×D414yes—
612C23×C131—21no—
613C23×C131—21no—
614C23×C131—21no—
615C23×C131—21no—
616C23×C131—21no—
617C23×C131—21no—
618C23×C131—21no—
619C23×C131—21no—
620C23×C131—28no—
621C23×C131—28no—
622C23×C131—28no—
623C23×C131—21no—
624C23×C131—21no—
625C23×C131—21no—
626C23×C131—21no—
627C23×C131—21no—
628C23×C131—21no—
629C23×C131—21no—
630C23×C131—21no—
631C23×C131—21no—
632C23×C131—21no—
633C23×C131—21no—
634C23×C131—21no—
635C23×C131—21no—
636C23×C131—21no—
637C23×C131—21no—
638C23×C131—21no—
639C23×C131—21no—
640C23×C131—21no—
641C23×C131—21no—
642C23×C131—21no—
643C23×C131—21no—
644C23×C131—21no—
645C23×C131—21no—
646C23×C131—21no—
647C23×C131—21no—
648C23×C131—44no—
649C23×C131—44no—
650C23×C131—44no—
651C23×C131—44no—
652C23×C131—44no—
653C23×C131—44no—
654C23×C131—44no—
655C23×C131—44no—
656C23×C131—44no—
657C23×C131—44no—
658C23×C131—44no—
659C23×C131C22×D412yes—
660C23×C131C22×D412yes—
661C23×C131C2×#4112yes—
662C23×C131C2×#4112yes—
663C23×C131C2×#4112yes—
664C23×C131C2×#4112yes—
665C23×C131C2×#4112yes—
666C23×C131C2×#4112yes—
667C23×C131C2×#4112yes—
668C23×C131C2511yescharacteristic
669Q8×C131—44no—
670D4×C131—28no—
671D4×C131—28no—
672D4×C131—28no—
673D4×C131—28no—
674D4×C131—44no—
675D4×C131—44no—
676D4×C131—44no—
677D4×C131—44no—
678D4×C131—44no—
679C2×C4×C131—28no—
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—28no—
697C2×C4×C131—28no—
698C2×C4×C131—28no—
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—21no—
707C2×C4×C131—21no—
708C2×C4×C131—21no—
709C2×C4×C131—21no—
710C2×C4×C131—21no—
711C2×C4×C131—21no—
712C2×C4×C131—21no—
713C2×C4×C131—21no—
714C2×C4×C131—21no—
715C2×C4×C131—21no—
716C2×C4×C131—21no—
717C2×C4×C131—21no—
718C2×C4×C131—21no—
719C2×C4×C131—21no—
720C2×C4×C131—21no—
721C2×C4×C131—21no—
722C2×C4×C131—21no—
723C2×C4×C131—21no—
724C2×C4×C131—21no—
725C2×C4×C131—21no—
726C2×C4×C131—21no—
727C2×C4×C131—21no—
728C2×C4×C131—21no—
729C2×C4×C131—21no—
730C2×C4×C131—21no—
731C2×C4×C131—21no—
732C2×C4×C131—21no—
733C2×C4×C131—21no—
734C2×C4×C131—21no—
735C2×C4×C131—21no—
736C2×C4×C131—21no—
737C2×C4×C131—21no—
738C2×C4×C131—21no—
739C2×C4×C131—21no—
740C2×C4×C131—21no—
741C2×C4×C131—21no—
742C2×C4×C131—21no—
743C2×C4×C131—21no—
744C2×C4×C131—21no—
745C2×C4×C131—21no—
746C2×C4×C131—21no—
747C2×C4×C131—44no—
748C2×C4×C131—44no—
749C2×C4×C131—44no—
750C2×C4×C131—44no—
751C2×C4×C131—44no—
752C2×C4×C131—44no—
753C2×C4×C131—44no—
754C2×C4×C131—44no—
755C2×C4×C131—44no—
756C2×C4×C131—44no—
757C2×C4×C131—44no—
758C2×C4×C131—44no—
759C2×C4×C131—44no—
760C2×C4×C131—44no—
761C2×C4×C131C22×D412yes—
762C2×C4×C131C22×D412yes—
763C2×C4×C131C22×D412yes—
764C2×C4×C131C22×D412yes—
765C2×C4×C131C22×D412yes—
766C2×C4×C131C2×#4112yes—
767C2×C4×C131C2×#4112yes—
768C2×C4×C131C2×#4112yes—
769C2×C4×C131C2×#4112yes—
770C2×C4×C131C2×#4112yes—
771C2×C4×C131H(5,𝔽2)12yes—
772C22×C131—22no—
773C22×C131—22no—
774C22×C131—22no—
775C22×C131—22no—
776C22×C131—22no—
777C22×C131—22no—
778C22×C131—22no—
779C22×C131—22no—
780C22×C131—22no—
781C22×C131—22no—
782C22×C131—22no—
783C22×C131—22no—
784C22×C131—22no—
785C22×C131—22no—
786C22×C131—22no—
787C22×C131—22no—
788C22×C131—22no—
789C22×C131—22no—
790C22×C131—22no—
791C22×C131—22no—
792C22×C131—22no—
793C22×C131—416no—
794C22×C131—416no—
795C22×C131—41no—
796C22×C131—41no—
797C22×C131—41no—
798C22×C131—41no—
799C22×C131—41no—
800C22×C131—41no—
801C22×C131—41no—
802C22×C131—41no—
803C22×C131—41no—
804C22×C131—41no—
805C22×C131—41no—
806C22×C131—41no—
807C22×C131—41no—
808C22×C131—41no—
809C22×C131—41no—
810C22×C131—41no—
811C22×C131—41no—
812C22×C131—41no—
813C22×C131—41no—
814C22×C131#52514yes—
815C22×C131#52914yescomplemented
816C22×C131C23×D411yescharacteristic
817C22×C131C22×#4111yescharacteristic
818C22×C131C22×#4111yescharacteristic
819C22×C131C22×#4111yescharacteristic
820C22×C131C22×#4111yescharacteristic
821C22×C131C2×H(5,𝔽2)11yescharacteristic
822C22×C131#58511yescharacteristic
823C4×C131—22no—
824C4×C131—22no—
825C4×C131—22no—
826C4×C131—22no—
827C4×C131—22no—
828C4×C131—22no—
829C4×C131—22no—
830C4×C131—22no—
831C4×C131—41no—
832C4×C131—41no—
833C4×C131—41no—
834C4×C131—41no—
835C4×C131—41no—
836C4×C131—41no—
837C4×C131—41no—
838C4×C131—41no—
839C4×C131—41no—
840C4×C131—41no—
841C4×C131—41no—
842C4×C131—41no—
843C4×C131—41no—
844C4×C131—41no—
845C4×C131—41no—
846C4×C131—41no—
847C4×C131#54614yes—
848C2×C131—24no—
849C2×C131—24no—
850C2×C131—42no—
851C2×C131—42no—
852C2×C131—42no—
853C2×C131—81no—
854C2×C131C2×#52511yescharacteristic
855C2×C131C2×#52911yescharacteristic
856C2×C131#345911yescharacteristic
857C2×C131C2×#54611yescharacteristic
858C2×C131D4×#4111yescharacteristic
859C2×C131#347511yescharacteristic
860C2×C131#348111yescharacteristic
861#34670C13111yesmaximal, characteristic, direct product factor, Sylow
862C131#3467011yescharacteristic, direct product factor, Sylow
863C2×#529C2×C13111yescharacteristic, complemented
864C22×C4×D4C2×C13111yescharacteristic, complemented
865#2481C2×C13111yescharacteristic, complemented
866#2480C2×C13111yescharacteristic, complemented
867#2473C2×C13111yescharacteristic, complemented
868#2472C2×C13111yescharacteristic, complemented
869#2467C2×C13111yescharacteristic, complemented
870#2466C2×C13111yescharacteristic, complemented
871#2460C2×C13111yescharacteristic, complemented
872#2459C2×C13111yescharacteristic, complemented
873#2450C2×C13111yescharacteristic, complemented
874#2444C2×C13111yescharacteristic, complemented
875#2437C2×C13111yescharacteristic, complemented
876#2425C2×C13111yescharacteristic, complemented
877#2419C2×C13111yescharacteristic, complemented
878#2412C2×C13111yescharacteristic, complemented
879#2410C2×C13111yescharacteristic
880#2405C2×C13111yescharacteristic, complemented
881#2398C2×C13111yescharacteristic, complemented
882#2395C2×C13111yescharacteristic, complemented
883#2392C2×C13111yescharacteristic, complemented
884#2392C2×C13111yescharacteristic, complemented
885C4×C22⋊Q8C2×C13111yescharacteristic, complemented
886C4×#123C2×C13111yescharacteristic, complemented
887C4×#121C2×C13111yescharacteristic, complemented
888C4×#120C2×C13111yescharacteristic, complemented
889C4×#120C2×C13111yescharacteristic, complemented
890#2290C2×C13111yescharacteristic, complemented
891#2290C2×C13111yescharacteristic, complemented
892#2280C2×C13111yescharacteristic, complemented
893C2×C4×C22⋊C4C2×C13111yescharacteristic, complemented
894C23×D4C22×C13111yescharacteristic
895C24×C4C22×C13111yescharacteristic
896C24×C4C22×C13111yescharacteristic
897#529—28no—
898C2×#126C22×C13111yescharacteristic, complemented
899C2×#126C22×C13111yescharacteristic, complemented
900C2×#125C22×C13111yescharacteristic, complemented
901C2×#124C22×C13111yescharacteristic, complemented
902C2×#123C22×C13111yescharacteristic
903C2×#123C22×C13111yescharacteristic
904C2×#123C22×C13111yescharacteristic, complemented
905C2×C22⋊Q8C22×C13111yescharacteristic
906C2×C22⋊Q8C22×C13111yescharacteristic, complemented
907C2×#121C22×C13111yescharacteristic
908C2×#121C22×C13111yescharacteristic
909C2×#120C22×C13111yescharacteristic
910C2×#120C22×C13111yescharacteristic
911C2×C4×Q8C22×C13111yescharacteristic, complemented
912C2×C4×D4—28no—
913C2×C4×D4C22×C13111yescharacteristic
914C2×C4×D4C22×C13111yescharacteristic
915C2×C4×D4C22×C13111yescharacteristic
916C2×C4×D4C22×C13111yescharacteristic
917C2×C4×D4C22×C13111yescharacteristic
918C2×C4×D4C22×C13111yescharacteristic
919C2×C4×D4C22×C13111yescharacteristic
920C2×C4×D4C22×C13111yescharacteristic
921C2×C4×D4C22×C13111yescharacteristic
922C2×C4×D4C22×C13111yescharacteristic, complemented
923C2×C4×D4C22×C13111yescharacteristic, complemented
924C2×C4×D4C22×C13111yescharacteristic, complemented
925C2×C4×D4C22×C13111yescharacteristic, complemented
926C2×#117C22×C13111yescharacteristic, complemented
927C2×#117C22×C13111yescharacteristic, complemented
928C2×#117C22×C13111yescharacteristic, complemented
929C22×C4⋊C4C22×C13111yescharacteristic
930C22×C22⋊C4C22×C13111yescharacteristic
931C22×C22⋊C4C22×C13111yescharacteristic
932C22×C22⋊C4C22×C13111yescharacteristic
933C22×C22⋊C4C22×C13111yescharacteristic
934C22×C42C22×C13111yescharacteristic
935C22×C42C22×C13111yescharacteristic, complemented
936C22×C42C22×C13111yescharacteristic, complemented
937#400C22×C13111yescharacteristic, complemented
938#400C22×C13111yescharacteristic, complemented
939#400C22×C13111yescharacteristic, complemented
940#399C22×C13111yescharacteristic, complemented
941#398C22×C13111yescharacteristic, complemented
942#398C22×C13111yescharacteristic, complemented
943#398C22×C13111yescharacteristic, complemented
944#397C22×C13111yescharacteristic, complemented
945#397C22×C13111yescharacteristic, complemented
946#397C22×C13111yescharacteristic, complemented
947#397C22×C13111yescharacteristic, complemented
948#397C22×C13111yescharacteristic, complemented
949#397C22×C13111yescharacteristic, complemented
950#397C22×C13111yescharacteristic, complemented
951#396C22×C13111yescharacteristic, complemented
952#396C22×C13111yescharacteristic, complemented
953#396C22×C13111yescharacteristic, complemented
954#396C22×C13111yescharacteristic, complemented
955#394C22×C13111yescharacteristic
956#394C22×C13111yescharacteristic
957#394C22×C13111yescharacteristic
958#394C22×C13111yescharacteristic
959#394C22×C13111yescharacteristic
960#394C22×C13111yescharacteristic
961#394C22×C13111yescharacteristic, complemented
962#394C22×C13111yescharacteristic, complemented
963#394C22×C13111yescharacteristic, complemented
964#394C22×C13111yescharacteristic, complemented
965#393C22×C13111yescharacteristic, complemented
966#393C22×C13111yescharacteristic, complemented
967#392C22×C13111yescharacteristic
968#392C22×C13111yescharacteristic
969#391C22×C13111yescharacteristic, complemented
970#390C22×C13111yescharacteristic, complemented
971#389C22×C13111yescharacteristic, complemented
972#389C22×C13111yescharacteristic, complemented
973#388C22×C13111yescharacteristic, complemented
974#388C22×C13111yescharacteristic, complemented
975#388C22×C13111yescharacteristic, complemented
976#388C22×C13111yescharacteristic, complemented
977#388C22×C13111yescharacteristic, complemented
978#388C22×C13111yescharacteristic, complemented
979#388C22×C13111yescharacteristic, complemented
980#388C22×C13111yescharacteristic, complemented
981#387C22×C13111yescharacteristic, complemented
982#387C22×C13111yescharacteristic, complemented
983#387C22×C13111yescharacteristic, complemented
984#387C22×C13111yescharacteristic, complemented
985#387C22×C13111yescharacteristic, complemented
986#387C22×C13111yescharacteristic, complemented
987#387C22×C13111yescharacteristic, complemented
988#387C22×C13111yescharacteristic, complemented
989#386C22×C13111yescharacteristic
990#386C22×C13111yescharacteristic
991#386C22×C13111yescharacteristic
992#386C22×C13111yescharacteristic
993#386C22×C13111yescharacteristic
994#386C22×C13111yescharacteristic
995#386C22×C13111yescharacteristic
996#386C22×C13111yescharacteristic
997#386C22×C13111yescharacteristic, complemented
998#386C22×C13111yescharacteristic, complemented
999#386C22×C13111yescharacteristic, complemented
1000#386C22×C13111yescharacteristic, complemented
1001#386C22×C13111yescharacteristic, complemented
1002#385C22×C13111yescharacteristic
1003#385C22×C13111yescharacteristic
1004#385C22×C13111yescharacteristic
1005#385C22×C13111yescharacteristic
1006#385C22×C13111yescharacteristic
1007#385C22×C13111yescharacteristic
1008#385C22×C13111yescharacteristic, complemented
1009#385C22×C13111yescharacteristic, complemented
1010#385C22×C13111yescharacteristic, complemented
1011#385C22×C13111yescharacteristic, complemented
1012#385C22×C13111yescharacteristic, complemented
1013#385C22×C13111yescharacteristic, complemented
1014#385C22×C13111yescharacteristic, complemented
1015#381C22×C13111yescharacteristic, complemented
1016#381C22×C13111yescharacteristic, complemented
1017#381C22×C13111yescharacteristic, complemented
1018#380C22×C13111yescharacteristic
1019#380C22×C13111yescharacteristic
1020#380C22×C13111yescharacteristic
1021#380C22×C13111yescharacteristic, complemented
1022#380C22×C13111yescharacteristic, complemented
1023#380C22×C13111yescharacteristic, complemented
1024#379C22×C13111yescharacteristic
1025#379C22×C13111yescharacteristic
1026#379C22×C13111yescharacteristic
1027#379C22×C13111yescharacteristic
1028C4×C4⋊C4C22×C13111yescharacteristic, complemented
1029C4×C4⋊C4C22×C13111yescharacteristic, complemented
1030C4×C4⋊C4C22×C13111yescharacteristic, complemented
1031C4×C4⋊C4C22×C13111yescharacteristic, complemented
1032C4×C22⋊C4C22×C13111yescharacteristic
1033C4×C22⋊C4C22×C13111yescharacteristic
1034C4×C22⋊C4C22×C13111yescharacteristic
1035C4×C22⋊C4C22×C13111yescharacteristic
1036C4×C22⋊C4C22×C13111yescharacteristic
1037C4×C22⋊C4C22×C13111yescharacteristic, complemented
1038C4×C22⋊C4C22×C13111yescharacteristic, complemented
1039C4×C22⋊C4C22×C13111yescharacteristic, complemented
1040C4×C22⋊C4C22×C13111yescharacteristic, complemented
1041C4×C22⋊C4C22×C13111yescharacteristic, complemented
1042C4×C22⋊C4C22×C13111yescharacteristic, complemented
1043C4×C22⋊C4C22×C13111yescharacteristic, complemented
1044C4×C22⋊C4C22×C13111yescharacteristic, complemented
1045C4×C22⋊C4C22×C13111yescharacteristic, complemented
1046C4×C22⋊C4C22×C13111yescharacteristic, complemented
1047C4×C22⋊C4C22×C13111yescharacteristic, complemented
1048#376C22×C13111yescharacteristic, complemented
1049C2×#95C22×C13111yescharacteristic, complemented
1050C2×#95C22×C13111yescharacteristic, complemented
1051C25C23×C13111yescharacteristic
1052C25C23×C13111yescharacteristic
1053C22×Q8C23×C13111yescharacteristic
1054C22×D4—24no—
1055C22×D4—24no—
1056C22×D4—24no—
1057C22×D4C23×C13111yescharacteristic
1058C22×D4C23×C13111yescharacteristic
1059C22×D4C23×C13111yescharacteristic
1060C22×D4C23×C13111yescharacteristic
1061C22×D4C23×C13111yescharacteristic
1062C22×D4C23×C13111yescharacteristic
1063C22×D4C23×C13111yescharacteristic
1064C22×D4C23×C13111yescharacteristic
1065C22×D4C23×C13111yescharacteristic
1066C23×C4—24no—
1067C23×C4—24no—
1068C23×C4—24no—
1069C23×C4—24no—
1070C23×C4—42no—
1071C23×C4—42no—
1072C23×C4C23×C13111yescharacteristic
1073C23×C4C23×C13111yescharacteristic
1074C23×C4C23×C13111yescharacteristic
1075C23×C4C23×C13111yescharacteristic
1076C23×C4C23×C13111yescharacteristic
1077C23×C4C23×C13111yescharacteristic
1078C23×C4C23×C13111yescharacteristic
1079C23×C4C23×C13111yescharacteristic
1080C23×C4C23×C13111yescharacteristic
1081C23×C4C23×C13111yescharacteristic
1082C23×C4C23×C13111yescharacteristic
1083C23×C4C23×C13111yescharacteristic
1084C23×C4C23×C13111yescharacteristic
1085C23×C4C23×C13111yescharacteristic
1086C23×C4C23×C13111yescharacteristic
1087C23×C4C23×C13111yescharacteristic
1088C23×C4C23×C13111yescharacteristic
1089C23×C4C23×C13111yescharacteristic
1090#126—24no—
1091#126—24no—
1092#125—24no—
1093#124—24no—
1094#123—24no—
1095#123—24no—
1096#123—24no—
1097C22⋊Q8—24no—
1098C22⋊Q8—24no—
1099#121—24no—
1100#121—24no—
1101#120—24no—
1102#120—24no—
1103C4×Q8—24no—
1104C4×D4—24no—
1105C4×D4—24no—
1106C4×D4—24no—
1107C4×D4—24no—
1108C4×D4—24no—
1109C4×D4—24no—
1110C4×D4—24no—
1111C4×D4—24no—
1112C4×D4—24no—
1113C4×D4—24no—
1114C4×D4—42no—
1115C4×D4—42no—
1116C4×D4D4×C13118yescomplemented
1117#117—24no—
1118#117—24no—
1119#117—42no—
1120C2×C4⋊C4—24no—
1121C2×C4⋊C4C23×C13111yescharacteristic
1122C2×C4⋊C4C23×C13111yescharacteristic
1123C2×C4⋊C4C23×C13111yescharacteristic
1124C2×C4⋊C4C23×C13111yescharacteristic
1125C2×C4⋊C4C23×C13111yescharacteristic
1126C2×C4⋊C4C23×C13111yescharacteristic
1127C2×C4⋊C4C23×C13111yescharacteristic
1128C2×C4⋊C4C23×C13111yescharacteristic
1129C2×C4⋊C4C23×C13111yescharacteristic
1130C2×C4⋊C4C23×C13111yescharacteristic
1131C2×C4⋊C4C23×C13111yescharacteristic
1132C2×C4⋊C4C23×C13111yescharacteristic
1133C2×C4⋊C4C23×C13111yescharacteristic
1134C2×C4⋊C4C23×C13111yescharacteristic
1135C2×C4⋊C4C23×C13111yescharacteristic
1136C2×C4⋊C4C23×C13111yescharacteristic
1137C2×C4⋊C4C23×C13111yescharacteristic
1138C2×C4⋊C4C23×C13111yescharacteristic
1139C2×C4⋊C4C23×C13111yescharacteristic
1140C2×C4⋊C4C23×C13111yescharacteristic
1141C2×C4⋊C4C23×C13111yescharacteristic
1142C2×C4⋊C4C23×C13111yescharacteristic
1143C2×C4⋊C4C23×C13111yescharacteristic
1144C2×C4⋊C4C23×C13111yescharacteristic
1145C2×C4⋊C4C23×C13111yescharacteristic
1146C2×C4⋊C4C23×C13111yescharacteristic
1147C2×C22⋊C4—24no—
1148C2×C22⋊C4—24no—
1149C2×C22⋊C4—24no—
1150C2×C22⋊C4—24no—
1151C2×C22⋊C4C23×C13111yescharacteristic
1152C2×C22⋊C4C23×C13111yescharacteristic
1153C2×C22⋊C4C23×C13111yescharacteristic
1154C2×C22⋊C4C23×C13111yescharacteristic
1155C2×C22⋊C4C23×C13111yescharacteristic
1156C2×C22⋊C4C23×C13111yescharacteristic
1157C2×C22⋊C4C23×C13111yescharacteristic
1158C2×C22⋊C4C23×C13111yescharacteristic
1159C2×C22⋊C4C23×C13111yescharacteristic
1160C2×C22⋊C4C23×C13111yescharacteristic
1161C2×C22⋊C4C23×C13111yescharacteristic
1162C2×C22⋊C4C23×C13111yescharacteristic
1163C2×C22⋊C4C23×C13111yescharacteristic
1164C2×C22⋊C4C23×C13111yescharacteristic
1165C2×C22⋊C4C23×C13111yescharacteristic
1166C2×C22⋊C4C23×C13111yescharacteristic
1167C2×C22⋊C4C23×C13111yescharacteristic
1168C2×C22⋊C4C23×C13111yescharacteristic
1169C2×C22⋊C4C23×C13111yescharacteristic
1170C2×C22⋊C4C23×C13111yescharacteristic
1171C2×C22⋊C4C23×C13111yescharacteristic
1172C2×C22⋊C4C23×C13111yescharacteristic
1173C2×C22⋊C4C23×C13111yescharacteristic
1174C2×C22⋊C4C23×C13111yescharacteristic
1175C2×C22⋊C4C23×C13111yescharacteristic
1176C2×C22⋊C4C23×C13111yescharacteristic
1177C2×C22⋊C4C23×C13111yescharacteristic
1178C2×C22⋊C4C23×C13111yescharacteristic
1179C2×C22⋊C4C23×C13111yescharacteristic
1180C2×C22⋊C4C23×C13111yescharacteristic
1181C2×C22⋊C4C23×C13111yescharacteristic
1182C2×C22⋊C4C23×C13111yescharacteristic
1183C2×C22⋊C4C23×C13111yescharacteristic
1184C2×C22⋊C4C23×C13111yescharacteristic
1185C2×C22⋊C4C23×C13111yescharacteristic
1186C2×C22⋊C4C23×C13111yescharacteristic
1187C2×C22⋊C4C23×C13111yescharacteristic
1188C2×C22⋊C4C23×C13111yescharacteristic
1189C2×C22⋊C4C23×C13111yescharacteristic
1190C2×C22⋊C4C23×C13111yescharacteristic
1191C2×C22⋊C4C23×C13111yescharacteristic
1192C2×C22⋊C4C23×C13111yescharacteristic
1193C2×C22⋊C4C23×C13111yescharacteristic
1194C2×C22⋊C4C23×C13111yescharacteristic
1195C2×C22⋊C4C23×C13111yescharacteristic
1196C2×C22⋊C4C23×C13111yescharacteristic
1197C2×C22⋊C4C23×C13111yescharacteristic
1198C2×C22⋊C4C23×C13111yescharacteristic
1199C2×C42—24no—
1200C2×C42—24no—
1201C2×C42—42no—
1202C2×C42C23×C13111yescharacteristic
1203C2×C42C23×C13111yescharacteristic
1204C2×C42C23×C13111yescharacteristic
1205C2×C42C23×C13111yescharacteristic
1206C2×C42C23×C13111yescharacteristic
1207C2×C42C23×C13111yescharacteristic
1208C2×C42C23×C13111yescharacteristic
1209C2×C42C23×C13111yescharacteristic
1210C2×C42C23×C13111yescharacteristic
1211C2×C42C23×C13111yescharacteristic
1212C2×C42C23×C13111yescharacteristic
1213C2×C42C23×C13111yescharacteristic
1214C2×C42C23×C13111yescharacteristic
1215C2×C42C23×C13111yescharacteristic
1216C2×C42C23×C13111yescharacteristic
1217#95C23×C13111yescharacteristic
1218#95C23×C13111yescharacteristic
1219#95C23×C13111yescharacteristic
1220#95C23×C13111yescharacteristic
1221#95C23×C13111yescharacteristic
1222#95C23×C13111yescharacteristic
1223#95C23×C13111yescharacteristic
1224#95C23×C13111yescharacteristic
1225#95C23×C13111yescharacteristic
1226#95C23×C13111yescharacteristic
1227#95C23×C13111yescharacteristic
1228#95C23×C13111yescharacteristic
1229#95C23×C13111yescharacteristic
1230#95C23×C13111yescharacteristic
1231#95C23×C13111yescharacteristic
1232#95C23×C13111yescharacteristic
1233#95C23×C13111yescharacteristic
1234#95C23×C13111yescharacteristic
1235#95C23×C13111yescharacteristic
1236#95C23×C13111yescharacteristic
1237#95C23×C13111yescharacteristic
1238#95C23×C13111yescharacteristic
1239#95C23×C13111yescharacteristic
1240#95C23×C13111yescharacteristic
1241#95C23×C13111yescharacteristic
1242#95C23×C13111yescharacteristic
1243#95C23×C13111yescharacteristic
1244#95C23×C13111yescharacteristic
1245#95C23×C13111yescharacteristic
1246#95C23×C13111yescharacteristic
1247#95C23×C13111yescharacteristic
1248#95C23×C13111yescharacteristic
1249#95C23×C13111yescharacteristic
1250#95C23×C13111yescharacteristic
1251#95C23×C13111yescharacteristic
1252#95C23×C13111yescharacteristic
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24#41×C13114yes—
1267C24C24×C13111yescharacteristic
1268C24C24×C13111yescharacteristic
1269C24C24×C13111yescharacteristic
1270C24C24×C13111yescharacteristic
1271C24C24×C13111yescharacteristic
1272C24C24×C13111yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—22no—
1275C2×Q8—41no—
1276C2×D4—232no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4C2×D4×C13114yes—
1303C2×D4#41×C13114yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
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—41no—
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—416no—
1356C22×C4—416no—
1357C22×C4C2×D4×C13114yes—
1358C22×C4C2×D4×C13114yes—
1359C22×C4#41×C13114yes—
1360C22×C4C24×C13111yescharacteristic
1361C22×C4C24×C13111yescharacteristic
1362C22×C4C24×C13111yescharacteristic
1363C22×C4C24×C13111yescharacteristic
1364C22×C4C24×C13111yescharacteristic
1365C22×C4C24×C13111yescharacteristic
1366C22×C4C24×C13111yescharacteristic
1367C22×C4C24×C13111yescharacteristic
1368C22×C4C24×C13111yescharacteristic
1369C22×C4C24×C13111yescharacteristic
1370C22×C4C24×C13111yescharacteristic
1371C22×C4C24×C13111yescharacteristic
1372C22×C4C24×C13111yescharacteristic
1373C22×C4C24×C13111yescharacteristic
1374C22×C4C24×C13111yescharacteristic
1375C22×C4C24×C13111yescharacteristic
1376C22×C4C24×C13111yescharacteristic
1377C22×C4C24×C13111yescharacteristic
1378C22×C4C24×C13111yescharacteristic
1379C22×C4C24×C13111yescharacteristic
1380C22×C4C24×C13111yescharacteristic
1381C22×C4C24×C13111yescharacteristic
1382C22×C4C24×C13111yescharacteristic
1383C22×C4C24×C13111yescharacteristic
1384C22×C4C24×C13111yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—41no—
1410C4⋊C4C2×D4×C13114yes—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4C2×D4×C13114yes—
1457C22⋊C4C2×D4×C13114yes—
1458C22⋊C4#41×C13114yes—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—41no—
1472C42—41no—
1473C42C2×D4×C13114yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—28no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
1515C23—44no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23C22×D4×C13112yes—
1522C23C22×D4×C13112yes—
1523C23C2×#41×C13112yes—
1524C23C2×#41×C13112yes—
1525C23C2×#41×C13112yes—
1526C23C2×#41×C13112yes—
1527C23C2×#41×C13112yes—
1528C23C2×#41×C13112yes—
1529C23C2×#41×C13112yes—
1530C23C25×C13111yescharacteristic
1531Q8—44no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—44no—
1537D4—44no—
1538D4—44no—
1539D4—44no—
1540D4—44no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—28no—
1559C2×C4—28no—
1560C2×C4—28no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4C22×D4×C13112yes—
1624C2×C4C22×D4×C13112yes—
1625C2×C4C22×D4×C13112yes—
1626C2×C4C22×D4×C13112yes—
1627C2×C4C22×D4×C13112yes—
1628C2×C4C2×#41×C13112yes—
1629C2×C4C2×#41×C13112yes—
1630C2×C4C2×#41×C13112yes—
1631C2×C4C2×#41×C13112yes—
1632C2×C4C2×#41×C13112yes—
1633C2×C4H(5,𝔽2)×C13112yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22#525×C13114yes—
1677C22#529×C13114yescomplemented
1678C22C23×D4×C13111yescharacteristic
1679C22C22×#41×C13111yescharacteristic
1680C22C22×#41×C13111yescharacteristic
1681C22C22×#41×C13111yescharacteristic
1682C22C22×#41×C13111yescharacteristic
1683C22C2×H(5,𝔽2)×C13111yescharacteristic
1684C22#585×C13111yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—22no—
1692C4—22no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4#546×C13114yes—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—81no—
1716C2C2×#525×C13111yescharacteristic
1717C2C2×#529×C13111yescharacteristic
1718C2#3459×C13111yescharacteristic
1719C2C2×#546×C13111yescharacteristic
1720C2D4×#41×C13111yescharacteristic
1721C2#3475×C13111yescharacteristic
1722C2#3481×C13111yescharacteristic
subgroupG/H
centerC22×C4×C131C24
commutator, Frattini, cosocleC23C25×C131
socleC23×C131C25
prime radical#2410×C131C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C131 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#529×C131C2semidirect
2. C22×C4×D4×C131C2semidirect
3. #2481×C131C2semidirect
4. #2480×C131C2semidirect
5. #2473×C131C2semidirect
6. #2472×C131C2semidirect
7. #2467×C131C2semidirect
8. #2466×C131C2semidirect
9. #2460×C131C2semidirect
10. #2459×C131C2semidirect
11. #2450×C131C2semidirect
12. #2444×C131C2semidirect
13. #2437×C131C2semidirect
14. #2425×C131C2semidirect
15. #2419×C131C2semidirect
16. #2412×C131C2semidirect
18. #2405×C131C2semidirect
19. #2398×C131C2semidirect
20. #2395×C131C2semidirect
21. #2392×C131C2semidirect
22. #2392×C131C2semidirect
23. C4×C22⋊Q8×C131C2semidirect
24. C4×#123×C131C2semidirect
25. C4×#121×C131C2semidirect
26. C4×#120×C131C2semidirect
27. C4×#120×C131C2semidirect
28. #2290×C131C2semidirect
29. #2290×C131C2semidirect
30. #2280×C131C2semidirect
31. C2×C4×C22⋊C4×C131C2semidirect
36. C2×#126×C131C22semidirect
37. C2×#126×C131C22semidirect
38. C2×#125×C131C22semidirect
39. C2×#124×C131C22semidirect
42. C2×#123×C131C22semidirect
44. C2×C22⋊Q8×C131C22semidirect
49. C2×C4×Q8×C131C22semidirect
60. C2×C4×D4×C131C22semidirect
61. C2×C4×D4×C131C22semidirect
62. C2×C4×D4×C131C22semidirect
63. C2×C4×D4×C131C22semidirect
64. C2×#117×C131C22semidirect
65. C2×#117×C131C22semidirect
66. C2×#117×C131C22semidirect
73. C22×C42×C131C22semidirect
74. C22×C42×C131C22semidirect
75. #400×C131C22semidirect
76. #400×C131C22semidirect
77. #400×C131C22semidirect
78. #399×C131C22semidirect
79. #398×C131C22semidirect
80. #398×C131C22semidirect
81. #398×C131C22semidirect
82. #397×C131C22semidirect
83. #397×C131C22semidirect
84. #397×C131C22semidirect
85. #397×C131C22semidirect
86. #397×C131C22semidirect
87. #397×C131C22semidirect
88. #397×C131C22semidirect
89. #396×C131C22semidirect
90. #396×C131C22semidirect
91. #396×C131C22semidirect
92. #396×C131C22semidirect
99. #394×C131C22semidirect
100. #394×C131C22semidirect
101. #394×C131C22semidirect
102. #394×C131C22semidirect
103. #393×C131C22semidirect
104. #393×C131C22semidirect
107. #391×C131C22semidirect
108. #390×C131C22semidirect
109. #389×C131C22semidirect
110. #389×C131C22semidirect
111. #388×C131C22semidirect
112. #388×C131C22semidirect
113. #388×C131C22semidirect
114. #388×C131C22semidirect
115. #388×C131C22semidirect
116. #388×C131C22semidirect
117. #388×C131C22semidirect
118. #388×C131C22semidirect
119. #387×C131C22semidirect
120. #387×C131C22semidirect
121. #387×C131C22semidirect
122. #387×C131C22semidirect
123. #387×C131C22semidirect
124. #387×C131C22semidirect
125. #387×C131C22semidirect
126. #387×C131C22semidirect
135. #386×C131C22semidirect
136. #386×C131C22semidirect
137. #386×C131C22semidirect
138. #386×C131C22semidirect
139. #386×C131C22semidirect
146. #385×C131C22semidirect
147. #385×C131C22semidirect
148. #385×C131C22semidirect
149. #385×C131C22semidirect
150. #385×C131C22semidirect
151. #385×C131C22semidirect
152. #385×C131C22semidirect
153. #381×C131C22semidirect
154. #381×C131C22semidirect
155. #381×C131C22semidirect
159. #380×C131C22semidirect
160. #380×C131C22semidirect
161. #380×C131C22semidirect
166. C4×C4⋊C4×C131C22semidirect
167. C4×C4⋊C4×C131C22semidirect
168. C4×C4⋊C4×C131C22semidirect
169. C4×C4⋊C4×C131C22semidirect
175. C4×C22⋊C4×C131C22semidirect
176. C4×C22⋊C4×C131C22semidirect
177. C4×C22⋊C4×C131C22semidirect
178. C4×C22⋊C4×C131C22semidirect
179. C4×C22⋊C4×C131C22semidirect
180. C4×C22⋊C4×C131C22semidirect
181. C4×C22⋊C4×C131C22semidirect
182. C4×C22⋊C4×C131C22semidirect
183. C4×C22⋊C4×C131C22semidirect
184. C4×C22⋊C4×C131C22semidirect
185. C4×C22⋊C4×C131C22semidirect
186. #376×C131C22semidirect
187. C2×#95×C131C22semidirect
188. C2×#95×C131C22semidirect
254. C4×D4×C131D4semidirect
815. C22×C131#529semidirect
861. #34670C131direct (N × H)
862. C131#34670direct (N × H)
863. C2×#529C2×C131semidirect
864. C22×C4×D4C2×C131semidirect
865. #2481C2×C131semidirect
866. #2480C2×C131semidirect
867. #2473C2×C131semidirect
868. #2472C2×C131semidirect
869. #2467C2×C131semidirect
870. #2466C2×C131semidirect
871. #2460C2×C131semidirect
872. #2459C2×C131semidirect
873. #2450C2×C131semidirect
874. #2444C2×C131semidirect
875. #2437C2×C131semidirect
876. #2425C2×C131semidirect
877. #2419C2×C131semidirect
878. #2412C2×C131semidirect
880. #2405C2×C131semidirect
881. #2398C2×C131semidirect
882. #2395C2×C131semidirect
883. #2392C2×C131semidirect
884. #2392C2×C131semidirect
885. C4×C22⋊Q8C2×C131semidirect
886. C4×#123C2×C131semidirect
887. C4×#121C2×C131semidirect
888. C4×#120C2×C131semidirect
889. C4×#120C2×C131semidirect
890. #2290C2×C131semidirect
891. #2290C2×C131semidirect
892. #2280C2×C131semidirect
893. C2×C4×C22⋊C4C2×C131semidirect
898. C2×#126C22×C131semidirect
899. C2×#126C22×C131semidirect
900. C2×#125C22×C131semidirect
901. C2×#124C22×C131semidirect
904. C2×#123C22×C131semidirect
906. C2×C22⋊Q8C22×C131semidirect
911. C2×C4×Q8C22×C131semidirect
922. C2×C4×D4C22×C131semidirect
923. C2×C4×D4C22×C131semidirect
924. C2×C4×D4C22×C131semidirect
925. C2×C4×D4C22×C131semidirect
926. C2×#117C22×C131semidirect
927. C2×#117C22×C131semidirect
928. C2×#117C22×C131semidirect
935. C22×C42C22×C131semidirect
936. C22×C42C22×C131semidirect
937. #400C22×C131semidirect
938. #400C22×C131semidirect
939. #400C22×C131semidirect
940. #399C22×C131semidirect
941. #398C22×C131semidirect
942. #398C22×C131semidirect
943. #398C22×C131semidirect
944. #397C22×C131semidirect
945. #397C22×C131semidirect
946. #397C22×C131semidirect
947. #397C22×C131semidirect
948. #397C22×C131semidirect
949. #397C22×C131semidirect
950. #397C22×C131semidirect
951. #396C22×C131semidirect
952. #396C22×C131semidirect
953. #396C22×C131semidirect
954. #396C22×C131semidirect
961. #394C22×C131semidirect
962. #394C22×C131semidirect
963. #394C22×C131semidirect
964. #394C22×C131semidirect
965. #393C22×C131semidirect
966. #393C22×C131semidirect
969. #391C22×C131semidirect
970. #390C22×C131semidirect
971. #389C22×C131semidirect
972. #389C22×C131semidirect
973. #388C22×C131semidirect
974. #388C22×C131semidirect
975. #388C22×C131semidirect
976. #388C22×C131semidirect
977. #388C22×C131semidirect
978. #388C22×C131semidirect
979. #388C22×C131semidirect
980. #388C22×C131semidirect
981. #387C22×C131semidirect
982. #387C22×C131semidirect
983. #387C22×C131semidirect
984. #387C22×C131semidirect
985. #387C22×C131semidirect
986. #387C22×C131semidirect
987. #387C22×C131semidirect
988. #387C22×C131semidirect
997. #386C22×C131semidirect
998. #386C22×C131semidirect
999. #386C22×C131semidirect
1000. #386C22×C131semidirect
1001. #386C22×C131semidirect
1008. #385C22×C131semidirect
1009. #385C22×C131semidirect
1010. #385C22×C131semidirect
1011. #385C22×C131semidirect
1012. #385C22×C131semidirect
1013. #385C22×C131semidirect
1014. #385C22×C131semidirect
1015. #381C22×C131semidirect
1016. #381C22×C131semidirect
1017. #381C22×C131semidirect
1021. #380C22×C131semidirect
1022. #380C22×C131semidirect
1023. #380C22×C131semidirect
1028. C4×C4⋊C4C22×C131semidirect
1029. C4×C4⋊C4C22×C131semidirect
1030. C4×C4⋊C4C22×C131semidirect
1031. C4×C4⋊C4C22×C131semidirect
1037. C4×C22⋊C4C22×C131semidirect
1038. C4×C22⋊C4C22×C131semidirect
1039. C4×C22⋊C4C22×C131semidirect
1040. C4×C22⋊C4C22×C131semidirect
1041. C4×C22⋊C4C22×C131semidirect
1042. C4×C22⋊C4C22×C131semidirect
1043. C4×C22⋊C4C22×C131semidirect
1044. C4×C22⋊C4C22×C131semidirect
1045. C4×C22⋊C4C22×C131semidirect
1046. C4×C22⋊C4C22×C131semidirect
1047. C4×C22⋊C4C22×C131semidirect
1048. #376C22×C131semidirect
1049. C2×#95C22×C131semidirect
1050. C2×#95C22×C131semidirect
1116. C4×D4D4×C131semidirect
1677. C22#529×C131semidirect

Maximal subgroups

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

subgroupindex
C2×#529×C1312
C22×C4×D4×C1312
#2481×C1312
#2480×C1312
#2473×C1312
#2472×C1312
#2467×C1312
#2466×C1312
#2460×C1312
#2459×C1312
#2450×C1312
#2444×C1312
#2437×C1312
#2425×C1312
#2419×C1312
#2412×C1312
#2410×C1312
#2405×C1312
#2398×C1312
#2395×C1312
#2392×C1312
C4×C22⋊Q8×C1312
C4×#123×C1312
C4×#121×C1312
C4×#120×C1312
#2290×C1312
#2280×C1312
C2×C4×C22⋊C4×C1312
#34670131