Finite Group Databasebeta

← C113×#18051 #43286071

Subgroups — C113×#18051 #43286071

Order 28928.

626 conjugacy classes of subgroups.

The subgroup lattice has 578 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C113×#2990C211yesmaximal, characteristic
2C113×#2984C211yesmaximal, characteristic, complemented
3C4×#137×C113C211yesmaximal, characteristic
4C113×#1593C211yesmaximal, characteristic, complemented
5C113×#1591C211yesmaximal, characteristic, complemented
6C113×#1587C211yesmaximal, characteristic, complemented
7C113×#1585C211yesmaximal, characteristic, complemented
8C113×#1584C211yesmaximal, characteristic, complemented
9C113×#1582C211yesmaximal, characteristic, complemented
10C113×SD16⋊C8C211yesmaximal, characteristic, complemented
11C8×SD16×C113C211yesmaximal, characteristic, complemented
12C113×#1569C211yesmaximal, characteristic, complemented
13C113×#1488C211yesmaximal, characteristic
14C113×#1487C211yesmaximal, characteristic, complemented
15C113×#1453C211yesmaximal, characteristic, complemented
16C2×#137×C113C411yescharacteristic
17C4×#41×C113C2211yescharacteristic
18C2×C4×Q8×C113C2211yescharacteristic
19#446×C113—21no—
20#446×C113—21no—
21#446×C113C2211yescharacteristic
22#446×C113C2211yescharacteristic
23#446×C113C2211yescharacteristic
24#446×C113C2211yescharacteristic
25C8×Q8×C113C2211yescharacteristic
26C8×Q8×C113C2211yescharacteristic
27#441×C113C411yescharacteristic
28#441×C113C411yescharacteristic
29#440×C113C411yescharacteristic
30#440×C113C411yescharacteristic
31C4×Q16×C113C2211yescharacteristic
32C4×Q16×C113C2211yescharacteristic
33C4×SD16×C113C2211yescharacteristic
34C4×SD16×C113C2211yescharacteristic
35#435×C113—21no—
36#435×C113—21no—
37C8×D4×C113C2211yescharacteristic
38C8×D4×C113C2211yescharacteristic
39#432×C113—21no—
40#432×C113—21no—
41#432×C113C2211yescharacteristic
42#431×C113—21no—
43#431×C113C2211yescharacteristic
44#431×C113C2211yescharacteristic
45#428×C113C411yescharacteristic
46#423×C113C2211yescharacteristic
47C2×C4⋊C8×C113—21no—
48#419×C113C411yescharacteristic
49#417×C113C411yescharacteristic
50C4×M16×C113C2211yescharacteristic
51#335×C113C2211yescharacteristic
52#335×C113C2211yescharacteristic
53#334×C113C2211yescharacteristic
54#334×C113C2211yescharacteristic
55Q8⋊C8×C113C2211yescharacteristic
56Q8⋊C8×C113C2211yescharacteristic
57Q8⋊C8×C113C2211yescharacteristic
58Q8⋊C8×C113C2211yescharacteristic
59Q8⋊C8×C113C2211yescharacteristic
60Q8⋊C8×C113C2211yescharacteristic
61D4⋊C8×C113C2211yescharacteristic
62D4⋊C8×C113C2211yescharacteristic
63#322×C113C2211yescharacteristic
64#322×C113C2211yescharacteristic
65#322×C113C2211yescharacteristic
66C82×C113C2211yescharacteristic
67C2×#41×C113C2×C411yescharacteristic
68C22×Q8×C113C2×C411yescharacteristic
69#137×C113—24no—
70C2×Q16×C113C2×C411yescharacteristic
71C2×Q16×C113C2×C411yescharacteristic
72C2×SD16×C113C2×C411yescharacteristic
73C2×SD16×C113C2×C411yescharacteristic
74C2×M16×C113—21no—
75C2×M16×C113C2×C411yescharacteristic
76C2×M16×C113C2×C411yescharacteristic
77C22×C8×C113—21no—
78C22×C8×C113—21no—
79C4×Q8×C113—21no—
80C4×Q8×C113—21no—
81C4×Q8×C113C2×C411yescharacteristic
82C4×Q8×C113C2×C411yescharacteristic
83C4×Q8×C113C2×C411yescharacteristic
84C4×Q8×C113C2311yescharacteristic
85C4×Q8×C113C2311yescharacteristic
86C4×Q8×C113C2311yescharacteristic
87C4×D4×C113—21no—
88C4×D4×C113—21no—
89C4×D4×C113C2×C411yescharacteristic
90C4×D4×C113C2311yescharacteristic
91#117×C113—21no—
92#117×C113C2×C411yescharacteristic
93C2×C4⋊C4×C113—21no—
94C2×C4⋊C4×C113C2×C411yescharacteristic
95C2×C42×C113—21no—
96C2×C42×C113—21no—
97C2×C42×C113C2311yescharacteristic
98#107×C113C2×C411yescharacteristic
99#107×C113C2×C411yescharacteristic
100#106×C113C2×C411yescharacteristic
101#106×C113C2×C411yescharacteristic
102C4⋊C8×C113—21no—
103C4⋊C8×C113—21no—
104C4⋊C8×C113—21no—
105C4⋊C8×C113—21no—
106C4⋊C8×C113—21no—
107C4⋊C8×C113—21no—
108C4⋊C8×C113—21no—
109C4⋊C8×C113—21no—
110C4⋊C8×C113D411yescharacteristic
111C4⋊C8×C113D411yescharacteristic
112C4⋊C8×C113C2311yescharacteristic
113C4⋊C8×C113C2311yescharacteristic
114C4⋊C8×C113C2311yescharacteristic
115C4⋊C8×C113C2311yescharacteristic
116#103×C113C2×C411yescharacteristic
117#103×C113C2×C411yescharacteristic
118#103×C113C2×C411yescharacteristic
119#103×C113C2×C411yescharacteristic
120#103×C113C2×C411yescharacteristic
121#103×C113C2×C411yescharacteristic
122#102×C113C2×C411yescharacteristic
123#102×C113C2×C411yescharacteristic
124C22⋊C8×C113—21no—
125C22⋊C8×C113—21no—
126C22⋊C8×C113—21no—
127C22⋊C8×C113—21no—
128C22⋊C8×C113D411yescharacteristic
129C22⋊C8×C113D411yescharacteristic
130#97×C113—21no—
131#97×C113—21no—
132#97×C113—21no—
133#97×C113—21no—
134#97×C113—21no—
135#97×C113C2×C411yescharacteristic
136#97×C113C2×C411yescharacteristic
137C4×C8×C113—21no—
138C4×C8×C113—21no—
139C4×C8×C113C2311yescharacteristic
140C4×C8×C113C2311yescharacteristic
141C4×C8×C113C2311yescharacteristic
142C4×C8×C113C2311yescharacteristic
143C4×C8×C113C2311yescharacteristic
144C4×C8×C113C2311yescharacteristic
145#41×C113—22no—
146#41×C113—41no—
147C2×Q8×C113—21no—
148C2×Q8×C113—22no—
149C2×Q8×C113—41no—
150C2×Q8×C113C22×C411yescharacteristic
151C2×Q8×C113C22×C411yescharacteristic
152C2×Q8×C113C22×C411yescharacteristic
153C2×D4×C113—21no—
154C2×D4×C113C22×C411yescharacteristic
155C22×C4×C113—21no—
156C22×C4×C113—21no—
157C22×C4×C113—21no—
158C22×C4×C113—21no—
159C22×C4×C113—21no—
160C22×C4×C113C22×C411yescharacteristic
161C22×C4×C113C2×D411yescharacteristic
162C22×C4×C113#4111yescharacteristic
163Q16×C113—22no—
164Q16×C113—22no—
165SD16×C113—22no—
166SD16×C113M1614yescomplemented
167M16×C113—22no—
168M16×C113—41no—
169M16×C113—81no—
170C2×C8×C113—21no—
171C2×C8×C113—21no—
172C2×C8×C113—21no—
173C2×C8×C113—21no—
174C2×C8×C113—21no—
175C2×C8×C113—21no—
176C2×C8×C113—81no—
177C2×C8×C113—81no—
178C2×C8×C113C22×C411yescharacteristic
179C2×C8×C113C22×C411yescharacteristic
180C2×C8×C113C22×C411yescharacteristic
181C2×C8×C113C22×C411yescharacteristic
182C2×C8×C113C2×D411yescharacteristic
183C2×C8×C113C2×D411yescharacteristic
184C2×C8×C113C2×D411yescharacteristic
185C2×C8×C113C2×D411yescharacteristic
186C4⋊C4×C113—21no—
187C4⋊C4×C113—21no—
188C4⋊C4×C113—21no—
189C4⋊C4×C113—21no—
190C4⋊C4×C113—21no—
191C4⋊C4×C113—21no—
192C4⋊C4×C113—21no—
193C4⋊C4×C113C22×C411yescharacteristic
194C4⋊C4×C113C22×C411yescharacteristic
195C4⋊C4×C113C22×C411yescharacteristic
196C4⋊C4×C113C22×C411yescharacteristic
197C22⋊C4×C113—21no—
198C22⋊C4×C113—21no—
199C22⋊C4×C113—21no—
200C42×C113—21no—
201C42×C113—21no—
202C42×C113—21no—
203C42×C113—21no—
204C42×C113—21no—
205C42×C113—21no—
206C42×C113—21no—
207C42×C113C22×C411yescharacteristic
208C42×C113C2×D411yescharacteristic
209C42×C113#4111yescharacteristic
210C42×C113C2411yescharacteristic
211C23×C113—21no—
212C23×C113C4×D411yescharacteristic
213Q8×C113—21no—
214Q8×C113—21no—
215Q8×C113—21no—
216Q8×C113—21no—
217Q8×C113—21no—
218Q8×C113—42no—
219Q8×C113C2×M1612yes—
220D4×C113—21no—
221D4×C113—42no—
222D4×C113C2×M1612yes—
223C2×C4×C113—21no—
224C2×C4×C113—21no—
225C2×C4×C113—21no—
226C2×C4×C113—21no—
227C2×C4×C113—21no—
228C2×C4×C113—21no—
229C2×C4×C113—21no—
230C2×C4×C113—21no—
231C2×C4×C113—21no—
232C2×C4×C113—21no—
233C2×C4×C113—21no—
234C2×C4×C113—41no—
235C2×C4×C113—42no—
236C2×C4×C113—42no—
237C2×C4×C113—42no—
238C2×C4×C113—42no—
239C2×C4×C113—41no—
240C2×C4×C113—41no—
241C2×C4×C113C4×D411yescharacteristic
242C2×C4×C113C4×D411yescharacteristic
243C2×C4×C113C4×D411yescharacteristic
244C2×C4×C113C23×C411yescharacteristic
245C2×C4×C113C22×D411yescharacteristic
246C2×C4×C113C2×#4111yescharacteristic
247C8×C113—21no—
248C8×C113—21no—
249C8×C113—21no—
250C8×C113—21no—
251C8×C113—21no—
252C8×C113—21no—
253C8×C113—21no—
254C8×C113—41no—
255C8×C113—41no—
256C8×C113—41no—
257C8×C113—41no—
258C8×C113—41no—
259C8×C113—41no—
260C8×C113C2×M1612yes—
261C22×C113—21no—
262C22×C113—22no—
263C22×C113—21no—
264C22×C113—21no—
265C22×C113—41no—
266C22×C113—41no—
267C22×C113C2×C4×D411yescharacteristic
268C4×C113—21no—
269C4×C113—22no—
270C4×C113—21no—
271C4×C113—21no—
272C4×C113—21no—
273C4×C113—41no—
274C4×C113—41no—
275C4×C113—41no—
276C4×C113—41no—
277C4×C113—41no—
278C4×C113—41no—
279C4×C113C22×M1611yescharacteristic
280C4×C113#56811yescharacteristic
281C4×C113#57711yescharacteristic
282C4×C113#57811yescharacteristic
283#18051C11311yesmaximal, characteristic, direct product factor, Sylow
284C2×C113—41no—
285C2×C113—42no—
286C2×C113D4×M1611yescharacteristic
287C2×C113#294711yescharacteristic
288C2×C113#295511yescharacteristic
289#2990C2×C11311yescharacteristic
290#2984C2×C11311yescharacteristic, complemented
291C4×#137C2×C11311yescharacteristic
292#1593C2×C11311yescharacteristic, complemented
293#1591C2×C11311yescharacteristic, complemented
294#1587C2×C11311yescharacteristic, complemented
295#1585C2×C11311yescharacteristic, complemented
296#1584C2×C11311yescharacteristic, complemented
297#1582C2×C11311yescharacteristic, complemented
298SD16⋊C8C2×C11311yescharacteristic, complemented
299C8×SD16C2×C11311yescharacteristic, complemented
300#1569C2×C11311yescharacteristic, complemented
301#1488C2×C11311yescharacteristic
302#1487C2×C11311yescharacteristic, complemented
303#1453C2×C11311yescharacteristic, complemented
304C113#1805111yescharacteristic, direct product factor, Sylow
305C2×#137C4×C11311yescharacteristic
306C4×#41C22×C11311yescharacteristic
307C2×C4×Q8C22×C11311yescharacteristic
308#446—21no—
309#446—21no—
310#446C22×C11311yescharacteristic
311#446C22×C11311yescharacteristic
312#446C22×C11311yescharacteristic
313#446C22×C11311yescharacteristic
314C8×Q8C22×C11311yescharacteristic
315C8×Q8C22×C11311yescharacteristic
316#441C4×C11311yescharacteristic
317#441C4×C11311yescharacteristic
318#440C4×C11311yescharacteristic
319#440C4×C11311yescharacteristic
320C4×Q16C22×C11311yescharacteristic
321C4×Q16C22×C11311yescharacteristic
322C4×SD16C22×C11311yescharacteristic
323C4×SD16C22×C11311yescharacteristic
324#435—21no—
325#435—21no—
326C8×D4C22×C11311yescharacteristic
327C8×D4C22×C11311yescharacteristic
328#432—21no—
329#432—21no—
330#432C22×C11311yescharacteristic
331#431—21no—
332#431C22×C11311yescharacteristic
333#431C22×C11311yescharacteristic
334#428C4×C11311yescharacteristic
335#423C22×C11311yescharacteristic
336C2×C4⋊C8—21no—
337#419C4×C11311yescharacteristic
338#417C4×C11311yescharacteristic
339C4×M16C22×C11311yescharacteristic
340#335C22×C11311yescharacteristic
341#335C22×C11311yescharacteristic
342#334C22×C11311yescharacteristic
343#334C22×C11311yescharacteristic
344Q8⋊C8C22×C11311yescharacteristic
345Q8⋊C8C22×C11311yescharacteristic
346Q8⋊C8C22×C11311yescharacteristic
347Q8⋊C8C22×C11311yescharacteristic
348Q8⋊C8C22×C11311yescharacteristic
349Q8⋊C8C22×C11311yescharacteristic
350D4⋊C8C22×C11311yescharacteristic
351D4⋊C8C22×C11311yescharacteristic
352#322C22×C11311yescharacteristic
353#322C22×C11311yescharacteristic
354#322C22×C11311yescharacteristic
355C82C22×C11311yescharacteristic
356C2×#41C2×C4×C11311yescharacteristic
357C22×Q8C2×C4×C11311yescharacteristic
358#137—24no—
359C2×Q16C2×C4×C11311yescharacteristic
360C2×Q16C2×C4×C11311yescharacteristic
361C2×SD16C2×C4×C11311yescharacteristic
362C2×SD16C2×C4×C11311yescharacteristic
363C2×M16—21no—
364C2×M16C2×C4×C11311yescharacteristic
365C2×M16C2×C4×C11311yescharacteristic
366C22×C8—21no—
367C22×C8—21no—
368C4×Q8—21no—
369C4×Q8—21no—
370C4×Q8C2×C4×C11311yescharacteristic
371C4×Q8C2×C4×C11311yescharacteristic
372C4×Q8C2×C4×C11311yescharacteristic
373C4×Q8C23×C11311yescharacteristic
374C4×Q8C23×C11311yescharacteristic
375C4×Q8C23×C11311yescharacteristic
376C4×D4—21no—
377C4×D4—21no—
378C4×D4C2×C4×C11311yescharacteristic
379C4×D4C23×C11311yescharacteristic
380#117—21no—
381#117C2×C4×C11311yescharacteristic
382C2×C4⋊C4—21no—
383C2×C4⋊C4C2×C4×C11311yescharacteristic
384C2×C42—21no—
385C2×C42—21no—
386C2×C42C23×C11311yescharacteristic
387#107C2×C4×C11311yescharacteristic
388#107C2×C4×C11311yescharacteristic
389#106C2×C4×C11311yescharacteristic
390#106C2×C4×C11311yescharacteristic
391C4⋊C8—21no—
392C4⋊C8—21no—
393C4⋊C8—21no—
394C4⋊C8—21no—
395C4⋊C8—21no—
396C4⋊C8—21no—
397C4⋊C8—21no—
398C4⋊C8—21no—
399C4⋊C8D4×C11311yescharacteristic
400C4⋊C8D4×C11311yescharacteristic
401C4⋊C8C23×C11311yescharacteristic
402C4⋊C8C23×C11311yescharacteristic
403C4⋊C8C23×C11311yescharacteristic
404C4⋊C8C23×C11311yescharacteristic
405#103C2×C4×C11311yescharacteristic
406#103C2×C4×C11311yescharacteristic
407#103C2×C4×C11311yescharacteristic
408#103C2×C4×C11311yescharacteristic
409#103C2×C4×C11311yescharacteristic
410#103C2×C4×C11311yescharacteristic
411#102C2×C4×C11311yescharacteristic
412#102C2×C4×C11311yescharacteristic
413C22⋊C8—21no—
414C22⋊C8—21no—
415C22⋊C8—21no—
416C22⋊C8—21no—
417C22⋊C8D4×C11311yescharacteristic
418C22⋊C8D4×C11311yescharacteristic
419#97—21no—
420#97—21no—
421#97—21no—
422#97—21no—
423#97—21no—
424#97C2×C4×C11311yescharacteristic
425#97C2×C4×C11311yescharacteristic
426C4×C8—21no—
427C4×C8—21no—
428C4×C8C23×C11311yescharacteristic
429C4×C8C23×C11311yescharacteristic
430C4×C8C23×C11311yescharacteristic
431C4×C8C23×C11311yescharacteristic
432C4×C8C23×C11311yescharacteristic
433C4×C8C23×C11311yescharacteristic
434#41—22no—
435#41—41no—
436C2×Q8—21no—
437C2×Q8—22no—
438C2×Q8—41no—
439C2×Q8C22×C4×C11311yescharacteristic
440C2×Q8C22×C4×C11311yescharacteristic
441C2×Q8C22×C4×C11311yescharacteristic
442C2×D4—21no—
443C2×D4C22×C4×C11311yescharacteristic
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4C22×C4×C11311yescharacteristic
450C22×C4C2×D4×C11311yescharacteristic
451C22×C4#41×C11311yescharacteristic
452Q16—22no—
453Q16—22no—
454SD16—22no—
455SD16M16×C11314yescomplemented
456M16—22no—
457M16—41no—
458M16—81no—
459C2×C8—21no—
460C2×C8—21no—
461C2×C8—21no—
462C2×C8—21no—
463C2×C8—21no—
464C2×C8—21no—
465C2×C8—81no—
466C2×C8—81no—
467C2×C8C22×C4×C11311yescharacteristic
468C2×C8C22×C4×C11311yescharacteristic
469C2×C8C22×C4×C11311yescharacteristic
470C2×C8C22×C4×C11311yescharacteristic
471C2×C8C2×D4×C11311yescharacteristic
472C2×C8C2×D4×C11311yescharacteristic
473C2×C8C2×D4×C11311yescharacteristic
474C2×C8C2×D4×C11311yescharacteristic
475C4⋊C4—21no—
476C4⋊C4—21no—
477C4⋊C4—21no—
478C4⋊C4—21no—
479C4⋊C4—21no—
480C4⋊C4—21no—
481C4⋊C4—21no—
482C4⋊C4C22×C4×C11311yescharacteristic
483C4⋊C4C22×C4×C11311yescharacteristic
484C4⋊C4C22×C4×C11311yescharacteristic
485C4⋊C4C22×C4×C11311yescharacteristic
486C22⋊C4—21no—
487C22⋊C4—21no—
488C22⋊C4—21no—
489C42—21no—
490C42—21no—
491C42—21no—
492C42—21no—
493C42—21no—
494C42—21no—
495C42—21no—
496C42C22×C4×C11311yescharacteristic
497C42C2×D4×C11311yescharacteristic
498C42#41×C11311yescharacteristic
499C42C24×C11311yescharacteristic
500C23—21no—
501C23C4×D4×C11311yescharacteristic
502Q8—21no—
503Q8—21no—
504Q8—21no—
505Q8—21no—
506Q8—21no—
507Q8—42no—
508Q8C2×M16×C11312yes—
509D4—21no—
510D4—42no—
511D4C2×M16×C11312yes—
512C2×C4—21no—
513C2×C4—21no—
514C2×C4—21no—
515C2×C4—21no—
516C2×C4—21no—
517C2×C4—21no—
518C2×C4—21no—
519C2×C4—21no—
520C2×C4—21no—
521C2×C4—21no—
522C2×C4—21no—
523C2×C4—41no—
524C2×C4—42no—
525C2×C4—42no—
526C2×C4—42no—
527C2×C4—42no—
528C2×C4—41no—
529C2×C4—41no—
530C2×C4C4×D4×C11311yescharacteristic
531C2×C4C4×D4×C11311yescharacteristic
532C2×C4C4×D4×C11311yescharacteristic
533C2×C4C23×C4×C11311yescharacteristic
534C2×C4C22×D4×C11311yescharacteristic
535C2×C4C2×#41×C11311yescharacteristic
536C8—21no—
537C8—21no—
538C8—21no—
539C8—21no—
540C8—21no—
541C8—21no—
542C8—21no—
543C8—41no—
544C8—41no—
545C8—41no—
546C8—41no—
547C8—41no—
548C8—41no—
549C8C2×M16×C11312yes—
550C22—21no—
551C22—22no—
552C22—21no—
553C22—21no—
554C22—41no—
555C22—41no—
556C22C2×C4×D4×C11311yescharacteristic
557C4—21no—
558C4—22no—
559C4—21no—
560C4—21no—
561C4—21no—
562C4—41no—
563C4—41no—
564C4—41no—
565C4—41no—
566C4—41no—
567C4—41no—
568C4C22×M16×C11311yescharacteristic
569C4#568×C11311yescharacteristic
570C4#577×C11311yescharacteristic
571C4#578×C11311yescharacteristic
572C2—41no—
573C2—42no—
574C2D4×M16×C11311yescharacteristic
575C2C113×#294711yescharacteristic
576C2C113×#295511yescharacteristic
subgroupG/H
centerC2×C4×C113C22×D4
commutatorC2×C4C23×C4×C113
Frattini, cosocleC42C24×C113
socleC22×C113C2×C4×D4
prime radicalC2×#41×C113C2×C4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C113 ◁ #431×C113 ◁ G

Complements

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

NH ≅ G/Ntype
2. C113×#2984C2semidirect
4. C113×#1593C2semidirect
5. C113×#1591C2semidirect
6. C113×#1587C2semidirect
7. C113×#1585C2semidirect
8. C113×#1584C2semidirect
9. C113×#1582C2semidirect
10. C113×SD16⋊C8C2semidirect
11. C8×SD16×C113C2semidirect
12. C113×#1569C2semidirect
14. C113×#1487C2semidirect
15. C113×#1453C2semidirect
166. SD16×C113M16semidirect
283. #18051C113direct (N × H)
290. #2984C2×C113semidirect
292. #1593C2×C113semidirect
293. #1591C2×C113semidirect
294. #1587C2×C113semidirect
295. #1585C2×C113semidirect
296. #1584C2×C113semidirect
297. #1582C2×C113semidirect
298. SD16⋊C8C2×C113semidirect
299. C8×SD16C2×C113semidirect
300. #1569C2×C113semidirect
302. #1487C2×C113semidirect
303. #1453C2×C113semidirect
304. C113#18051direct (N × H)
455. SD16M16×C113semidirect

Maximal subgroups

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

subgroupindex
C113×#29902
C113×#29842
C4×#137×C1132
C113×#15932
C113×#15912
C113×#15872
C113×#15852
C113×#15842
C113×#15822
C113×SD16⋊C82
C8×SD16×C1132
C113×#15692
C113×#14882
C113×#14872
C113×#14532
#18051113