Finite Group Databasebeta

← #10596250⋊C3 #13153518

Subgroups — #10596250⋊C3 #13153518

Order 1728.

928 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11722639C211yesmaximal, characteristic, complemented
2#11722627C211yesmaximal, characteristic, complemented
3H(3,𝔽3)×#137C211yesmaximal, characteristic, complemented
4#64159⋊C3C211yesmaximal, characteristic, complemented
5C2×#3756⋊C3C211yesmaximal, characteristic, complemented
6#64127⋊C3C212yesmaximal, complemented
7Q16×(C3⋊D3)⋊C3C212yesmaximal, complemented
8#64125⋊C3C212yesmaximal, complemented
9#64124⋊C3C212yesmaximal, complemented
10#64118⋊C3C211yesmaximal, characteristic, complemented
11#64116⋊C3C211yesmaximal, characteristic, complemented
12#10596250C311yesmaximal, characteristic, complemented
13C3×#5779—31nomaximal
14#41×H(3,𝔽3)C2211yescharacteristic
15C2×Q8×H(3,𝔽3)C2211yescharacteristic
16#88722—21no—
17#88722C2212yes—
18Q8×(C3⋊D3)⋊C3—21no—
19Q8×(C3⋊D3)⋊C3C2212yes—
20Q8×(C3⋊D3)⋊C3C2212yes—
21#3830⋊C3—22no—
22#3830⋊C3C2212yes—
23#3828⋊C3—22no—
24#3828⋊C3—21no—
25#3828⋊C3C2211yescharacteristic
26#3828⋊C3C2211yescharacteristic
27C2×#634⋊C3—21no—
28C2×#634⋊C3C2211yescharacteristic
29Q16×H(3,𝔽3)C2212yes—
30SD16×H(3,𝔽3)C2212yes—
31M16×H(3,𝔽3)C2211yescharacteristic
32#3755⋊C3C2211yescharacteristic
33#3756⋊C3C2212yes—
34#3756⋊C3C2212yes—
35#3756⋊C3C2211yescharacteristic
36#3753⋊C3C2211yescharacteristic
37#3754⋊C3C2211yescharacteristic
38C2×(C3⋊(C3⋊C8))⋊C3C2211yescharacteristic
39#3744⋊C3C2212yes—
40#3743⋊C3C2212yes—
41C8×(C3⋊D3)⋊C3C2212yes—
42#3746⋊C3C2212yes—
43#64367C2×C311yescharacteristic, complemented
44#64364C2×C311yescharacteristic, complemented
45C3×#1010—31no—
46C3×#1007—31no—
47C32×#137—21no—
48C32×#137D311yescharacteristic, complemented
49C32×#137C2×C311yescharacteristic, complemented
50#64159C2×C311yescharacteristic, complemented
51C2×#3756C2×C311yescharacteristic, complemented
52#64127C2×C312yescomplemented
53Q16×C3⋊D3C2×C312yescomplemented
54#64125C2×C312yescomplemented
55#64124C2×C312yescomplemented
56#64118C2×C311yescharacteristic, complemented
57#64116C2×C311yescharacteristic, complemented
58C3×#950—31no—
59C2×C3×#216—31no—
60C3×#918—32no—
61C3×D3×Q16—32no—
62C3×#916—32no—
63C3×#915—32no—
64C3×#909—31no—
65C3×#907—31no—
66Q8×H(3,𝔽3)—21no—
67Q8×H(3,𝔽3)C2311yescharacteristic
68Q8×H(3,𝔽3)C2312yes—
69D4×H(3,𝔽3)—21no—
70D4×H(3,𝔽3)C2311yescharacteristic
71C2×C4×H(3,𝔽3)—21no—
72C2×C4×H(3,𝔽3)—21no—
73C2×C4×H(3,𝔽3)C2311yescharacteristic
74#638⋊C3—21no—
75#638⋊C3—22no—
76#638⋊C3D412yes—
77C2×(C3⋊Dic3)⋊C3—21no—
78C2×(C3⋊Dic3)⋊C3—22no—
79C4⋊((C3⋊D3)⋊C3)—22no—
80C4⋊((C3⋊D3)⋊C3)D411yescharacteristic
81C4⋊((C3⋊D3)⋊C3)C2311yescharacteristic
82C4×(C3⋊D3)⋊C3—22no—
83C4×(C3⋊D3)⋊C3—22no—
84C4×(C3⋊D3)⋊C3—21no—
85C4×(C3⋊D3)⋊C3—22no—
86C4×(C3⋊D3)⋊C3C2312yes—
87#634⋊C3—21no—
88#634⋊C3—22no—
89#634⋊C3—22no—
90#634⋊C3D411yescharacteristic
91#634⋊C3C2312yes—
92#634⋊C3C2311yescharacteristic
93C8×H(3,𝔽3)C2312yes—
94(C3⋊(C3⋊C8))⋊C3C2311yescharacteristic
95(C3⋊(C3⋊C8))⋊C3C2311yescharacteristic
96C3×#578—91no—
97#5779—31no—
98#5779—91no—
99C32×#41—21no—
100C32×#41C2×D311yescharacteristic
101C32×#41C22×C311yescharacteristic
102C2×C32×Q8—21no—
103C2×C32×Q8C2×D311yescharacteristic
104C2×C32×Q8C22×C311yescharacteristic
105#3832—21no—
106#3832C22×C312yes—
107Q8×C3⋊D3—21no—
108Q8×C3⋊D3C22×C312yes—
109Q8×C3⋊D3C22×C312yes—
110#3830—22no—
111#3830C22×C312yes—
112#3828—22no—
113#3828—21no—
114#3828C22×C311yescharacteristic
115#3828C22×C311yescharacteristic
116C2×#634—21no—
117C2×#634C22×C311yescharacteristic
118C3×#239—32no—
119C3×#239—61no—
120C3×D3×Q8—32no—
121C3×D3×Q8—32no—
122C3×D3×Q8—61no—
123C3×#237—32no—
124C3×#237—62no—
125C3×#235—31no—
126C3×#235—31no—
127C3×#235—61no—
128C3×#235—62no—
129C2×C3×Dic6—31no—
130C2×C3×Dic6—61no—
131C32×Q16—22no—
132C32×Q16C2×D312yes—
133C32×Q16C22×C312yes—
134C32×SD16—22no—
135C32×SD16C2×D312yes—
136C32×SD16C22×C312yes—
137C32×M16—21no—
138C32×M16C2×D311yescharacteristic
139C32×M16C22×C311yescharacteristic
140#3756C22×C312yes—
141#3756C22×C312yes—
142#3756C22×C311yescharacteristic
143#3755C22×C311yescharacteristic
144#3754C22×C311yescharacteristic
145#3753C22×C311yescharacteristic
146C2×C3⋊(C3⋊C8)C22×C311yescharacteristic
147#3746C22×C312yes—
148#3744C22×C312yes—
149#3743C22×C312yes—
150C8×C3⋊D3C22×C312yes—
151C3×#216—32no—
152C3×#216—32no—
153C3×#216—31no—
154C3×#215—31no—
155C3×#214—31no—
156C3×#213—31no—
157C2×C3×C3⋊C8—31no—
158C3×Dic12—32no—
159C3×#204—32no—
160C3×ΓL(1,𝔽25)—32no—
161C3×D3×C8—32no—
162C22×H(3,𝔽3)—21no—
163C22×H(3,𝔽3)C2×D411yescharacteristic
164C2×(C3⋊D3)⋊C3—21no—
165C2×(C3⋊D3)⋊C3C2×D412yes—
166C4×H(3,𝔽3)—21no—
167C4×H(3,𝔽3)—22no—
168C4×H(3,𝔽3)C2×D411yescharacteristic
169C4×H(3,𝔽3)C2411yescharacteristic
170(C3⋊Dic3)⋊C3—21no—
171(C3⋊Dic3)⋊C3—22no—
172(C3⋊Dic3)⋊C3C2×D412yes—
173C3×2−1+4—91no—
174C3×2−1+4—91no—
175#1010—31no—
176#1010—91no—
177#1007—31no—
178#1007—91no—
179C3×#137—31no—
180C3×#137—31no—
181C3×#137—61no—
182C3×#137—91no—
183C3×#137—92no—
184C3×#137—92no—
185C3×#137C3×D311yescharacteristic
186C3×#135—92no—
187C3×#135—91no—
188C2×C3×Q16—92no—
189C2×C3×Q16—91no—
190C3×#131—91no—
191#950—31no—
192#950—91no—
193C2×#216—31no—
194C2×#216—91no—
195#918—32no—
196#918—92no—
197D3×Q16—32no—
198D3×Q16—92no—
199#916—32no—
200#916—92no—
201#915—32no—
202#915—92no—
203#909—31no—
204#909—91no—
205#907—31no—
206#907—91no—
207C32×Q8—21no—
208C32×Q8—21no—
209C32×Q8—22no—
210C32×Q8—21no—
211C32×Q8—41no—
212C32×Q8C22×D311yescharacteristic
213C32×Q8C22×D312yes—
214C32×Q8C23×C311yescharacteristic
215C32×Q8C23×C312yes—
216C32×D4—21no—
217C32×D4—21no—
218C32×D4—21no—
219C32×D4—41no—
220C32×D4C22×D311yescharacteristic
221C32×D4C23×C311yescharacteristic
222C2×C32×C4—21no—
223C2×C32×C4—21no—
224C2×C32×C4—21no—
225C2×C32×C4—21no—
226C2×C32×C4—21no—
227C2×C32×C4—41no—
228C2×C32×C4—41no—
229C2×C32×C4C22×D311yescharacteristic
230C2×C32×C4C23×C311yescharacteristic
231#638—21no—
232#638—22no—
233#638C3×D412yes—
234C2×C3⋊Dic3—21no—
235C2×C3⋊Dic3—22no—
236C4⋊(C3⋊D3)—22no—
237C4⋊(C3⋊D3)C3×D411yescharacteristic
238C4⋊(C3⋊D3)C23×C311yescharacteristic
239C4×C3⋊D3—22no—
240C4×C3⋊D3—22no—
241C4×C3⋊D3—21no—
242C4×C3⋊D3—22no—
243C4×C3⋊D3C23×C312yes—
244#634—21no—
245#634—22no—
246#634—22no—
247#634C3×D411yescharacteristic
248#634C23×C312yes—
249#634C23×C311yescharacteristic
250C3×#67—32no—
251C3×#67—62no—
252C3×#67—61no—
253C2×C3×Dic3—62no—
254C2×C3×Dic3—61no—
255C3×D12—31no—
256C3×D12—31no—
257C3×D12—62no—
258C3×C4×D3—32no—
259C3×C4×D3—62no—
260C3×C4×D3—62no—
261C3×C4×D3—62no—
262C3×C4×D3—61no—
263C3×Dic6—31no—
264C3×Dic6—32no—
265C3×Dic6—31no—
266C3×Dic6—62no—
267C3×Dic6—62no—
268C3×Dic6—61no—
269C32×C8—22no—
270C32×C8C22×D312yes—
271C32×C8C23×C312yes—
272C3⋊(C3⋊C8)C23×C311yescharacteristic
273C3⋊(C3⋊C8)C23×C311yescharacteristic
274C3×C3⋊C8—31no—
275C3×C3⋊C8—31no—
276#578—91noSylow
277C2×H(3,𝔽3)—21no—
278C2×H(3,𝔽3)—41no—
279C2×H(3,𝔽3)C22×D411yescharacteristic
280(C3⋊D3)⋊C3—22no—
281(C3⋊D3)⋊C3—41no—
282C3×#41—31no—
283C3×#41—31no—
284C3×#41—61no—
285C3×#41—91no—
286C3×#41—91no—
287C3×#41—92no—
288C3×#41—92no—
289C3×#41—181no—
290C3×#41—182no—
291C3×#41—182no—
292C3×#41—181no—
293C3×#41C2×C3×D311yescharacteristic
294C2×C3×Q8—31no—
295C2×C3×Q8—31no—
296C2×C3×Q8—61no—
297C2×C3×Q8—91no—
298C2×C3×Q8—92no—
299C2×C3×Q8—92no—
300C2×C3×Q8—181no—
301C2×C3×Q8—181no—
302C2×C3×Q8C2×C3×D311yescharacteristic
303#239—32no—
304#239—61no—
305#239—92no—
306#239—181no—
307D3×Q8—32no—
308D3×Q8—32no—
309D3×Q8—61no—
310D3×Q8—92no—
311D3×Q8—92no—
312D3×Q8—181no—
313#237—32no—
314#237—62no—
315#237—92no—
316#237—182no—
317#235—31no—
318#235—31no—
319#235—61no—
320#235—62no—
321#235—91no—
322#235—91no—
323#235—181no—
324#235—182no—
325C2×Dic6—31no—
326C2×Dic6—61no—
327C2×Dic6—91no—
328C2×Dic6—181no—
329C3×Q16—32no—
330C3×Q16—32no—
331C3×Q16—62no—
332C3×Q16—92no—
333C3×Q16—92no—
334C3×Q16—91no—
335C3×Q16—92no—
336C3×Q16C2×C3×D312yes—
337C3×SD16—32no—
338C3×SD16—32no—
339C3×SD16—62no—
340C3×SD16—92no—
341C3×SD16—91no—
342C3×SD16—91no—
343C3×SD16C2×C3×D312yes—
344C3×D8—91no—
345C3×M16—31no—
346C3×M16—31no—
347C3×M16—61no—
348C3×M16—92no—
349C3×M16C2×C3×D311yescharacteristic
350C2×C3×C8—92no—
351C2×C3×C8—91no—
352#216—32no—
353#216—32no—
354#216—31no—
355#216—92no—
356#216—92no—
357#216—91no—
358#215—31no—
359#215—91no—
360#214—31no—
361#214—91no—
362#213—31no—
363#213—91no—
364C2×C3⋊C8—31no—
365C2×C3⋊C8—91no—
366Dic12—32no—
367Dic12—92no—
368#204—32no—
369#204—92no—
370ΓL(1,𝔽25)—32no—
371ΓL(1,𝔽25)—92no—
372D3×C8—32no—
373D3×C8—92no—
374C22×C32—21no—
375C22×C32—21no—
376C22×C32—21no—
377C22×C32—41no—
378C22×C32D3×D411yescharacteristic
379C22×C32C2×C3×D411yescharacteristic
380C2×C3⋊D3—21no—
381C2×C3⋊D3C2×C3×D412yes—
382C2×C3×D3—32no—
383C2×C3×D3—61no—
384C32×C4—21no—
385C32×C4—22no—
386C32×C4—21no—
387C32×C4—22no—
388C32×C4—21no—
389C32×C4—21no—
390C32×C4—41no—
391C32×C4—42no—
392C32×C4D3×D411yescharacteristic
393C32×C4C2×C3×D411yescharacteristic
394C32×C4C23×D311yescharacteristic
395C32×C4C24×C311yescharacteristic
396C3⋊Dic3—21no—
397C3⋊Dic3—22no—
398C3⋊Dic3C2×C3×D412yes—
399C3×Dic3—32no—
400C3×Dic3—61no—
401C3×Dic3—62no—
4022−1+4—91no—
4032−1+4—91no—
404#137—92no—
405#137—92no—
406#137—91no—
407#137(C3⋊D3)⋊C311yescharacteristic, complemented
408#135—91no—
409#135—92no—
410C2×Q16—91no—
411C2×Q16—92no—
412#131—91no—
413H(3,𝔽3)#57811yescharacteristic, complemented, Sylow
414C3×Q8—21no—
415C3×Q8—32no—
416C3×Q8—31no—
417C3×Q8—31no—
418C3×Q8—32no—
419C3×Q8—61no—
420C3×Q8—61no—
421C3×Q8—62no—
422C3×Q8—61no—
423C3×Q8—91no—
424C3×Q8—92no—
425C3×Q8—91no—
426C3×Q8—121no—
427C3×Q8—181no—
428C3×Q8—182no—
429C3×Q8—182no—
430C3×Q8C22×C3×D311yescharacteristic
431C3×Q8C22×C3×D312yes—
432C3×D4—21no—
433C3×D4—31no—
434C3×D4—31no—
435C3×D4—61no—
436C3×D4—61no—
437C3×D4—61no—
438C3×D4—91no—
439C3×D4—91no—
440C3×D4—92no—
441C3×D4—121no—
442C3×D4—182no—
443C3×D4—181no—
444C3×D4—182no—
445C3×D4C22×C3×D311yescharacteristic
446C2×C3×C4—21no—
447C2×C3×C4—21no—
448C2×C3×C4—31no—
449C2×C3×C4—31no—
450C2×C3×C4—61no—
451C2×C3×C4—61no—
452C2×C3×C4—61no—
453C2×C3×C4—61no—
454C2×C3×C4—61no—
455C2×C3×C4—92no—
456C2×C3×C4—121no—
457C2×C3×C4—121no—
458C2×C3×C4—181no—
459C2×C3×C4—182no—
460C2×C3×C4—182no—
461C2×C3×C4—182no—
462C2×C3×C4—182no—
463C2×C3×C4—181no—
464C2×C3×C4C22×C3×D311yescharacteristic
465#67—32no—
466#67—62no—
467#67—61no—
468#67—92no—
469#67—182no—
470#67—181no—
471C2×Dic3—62no—
472C2×Dic3—61no—
473C2×Dic3—182no—
474C2×Dic3—181no—
475D12—31no—
476D12—31no—
477D12—62no—
478D12—91no—
479D12—91no—
480D12—182no—
481C4×D3—32no—
482C4×D3—62no—
483C4×D3—62no—
484C4×D3—62no—
485C4×D3—61no—
486C4×D3—92no—
487C4×D3—182no—
488C4×D3—181no—
489C4×D3—182no—
490C4×D3—182no—
491Dic6—31no—
492Dic6—32no—
493Dic6—31no—
494Dic6—62no—
495Dic6—62no—
496Dic6—61no—
497Dic6—91no—
498Dic6—92no—
499Dic6—91no—
500Dic6—182no—
501Dic6—182no—
502Dic6—181no—
503C3×C8—32no—
504C3×C8—32no—
505C3×C8—62no—
506C3×C8—91no—
507C3×C8—91no—
508C3×C8C22×C3×D312yes—
509C3⋊C8—31no—
510C3⋊C8—31no—
511C3⋊C8—91no—
512C3⋊C8—91no—
513C2×C32—21no—
514C2×C32—21no—
515C2×C32—21no—
516C2×C32—41no—
517C2×C32—41no—
518C2×C32—41no—
519C2×C32—81no—
520C2×C32C2×D3×D411yescharacteristic
521C2×C32C22×C3×D411yescharacteristic
522C3⋊D3—22no—
523C3⋊D3—41no—
524C3×D3—62no—
525C3×D3—121no—
526#41—91no—
527#41—92no—
528#41—92no—
529#41—91no—
530#41—182no—
531#41—181no—
532#41—182no—
533#41—181no—
534#41C2×(C3⋊D3)⋊C311yescharacteristic
535C2×Q8—92no—
536C2×Q8—92no—
537C2×Q8—91no—
538C2×Q8—181no—
539C2×Q8—181no—
540C2×Q8C2×(C3⋊D3)⋊C311yescharacteristic
541Q16—91no—
542Q16—92no—
543Q16—92no—
544Q16—92no—
545Q16C2×(C3⋊D3)⋊C312yes—
546SD16—91no—
547SD16—91no—
548SD16—92no—
549SD16C2×(C3⋊D3)⋊C312yes—
550D8—91no—
551M16—92no—
552M16C2×(C3⋊D3)⋊C311yescharacteristic
553C2×C8—91no—
554C2×C8—92no—
555C22×C3—21no—
556C22×C3—31no—
557C22×C3—31no—
558C22×C3—61no—
559C22×C3—61no—
560C22×C3—61no—
561C22×C3—92no—
562C22×C3—121no—
563C22×C3—181no—
564C22×C3C3×D3×D411yescharacteristic
565C2×D3—32no—
566C2×D3—61no—
567C2×D3—92no—
568C2×D3—181no—
569C3×C4—21no—
570C3×C4—22no—
571C3×C4—31no—
572C3×C4—31no—
573C3×C4—31no—
574C3×C4—31no—
575C3×C4—61no—
576C3×C4—62no—
577C3×C4—61no—
578C3×C4—62no—
579C3×C4—61no—
580C3×C4—61no—
581C3×C4—92no—
582C3×C4—121no—
583C3×C4—122no—
584C3×C4—181no—
585C3×C4—182no—
586C3×C4C3×D3×D411yescharacteristic
587C3×C4C23×C3×D311yescharacteristic
588Dic3—32no—
589Dic3—61no—
590Dic3—62no—
591Dic3—92no—
592Dic3—181no—
593Dic3—182no—
594C32—21no—
595C32#577911yescharacteristic, complemented
596C32C3×#57811yescharacteristic, complemented
597Q8—21no—
598Q8—91no—
599Q8—91no—
600Q8—92no—
601Q8—182no—
602Q8—182no—
603Q8—181no—
604Q8C22×(C3⋊D3)⋊C311yescharacteristic
605Q8C22×(C3⋊D3)⋊C312yes—
606D4—21no—
607D4—92no—
608D4—91no—
609D4—91no—
610D4—182no—
611D4—182no—
612D4—181no—
613D4C22×(C3⋊D3)⋊C311yescharacteristic
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—92no—
617C2×C4—182no—
618C2×C4—182no—
619C2×C4—182no—
620C2×C4—182no—
621C2×C4—181no—
622C2×C4—181no—
623C2×C4C22×(C3⋊D3)⋊C311yescharacteristic
624C8—91no—
625C8—91no—
626C8C22×(C3⋊D3)⋊C312yes—
627C2×C3—21no—
628C2×C3—31no—
629C2×C3—31no—
630C2×C3—41no—
631C2×C3—61no—
632C2×C3—61no—
633C2×C3—61no—
634C2×C3—121no—
635C2×C3—121no—
636C2×C3—121no—
637C2×C3—182no—
638C2×C3—241no—
639C2×C3—361no—
640C2×C3C2×C3×D3×D411yescharacteristic
641D3—62no—
642D3—121no—
643D3—182no—
644D3—361no—
645C22—21no—
646C22—92no—
647C22—181no—
648C22D4×(C3⋊D3)⋊C311yescharacteristic
649C4—21no—
650C4—22no—
651C4—92no—
652C4—181no—
653C4—182no—
654C4D4×(C3⋊D3)⋊C311yescharacteristic
655C4C23×(C3⋊D3)⋊C311yescharacteristic
656C3—31no—
657C3—31no—
658C3—61no—
659C3C3×#577911yescharacteristic
660C2—21no—
661C2—41no—
662C2—182no—
663C2—361no—
664C2C2×D4×(C3⋊D3)⋊C311yescharacteristic
subgroupG/H
centerC2C2×D4×(C3⋊D3)⋊C3
commutator, cosocleC32×C4C24×C3
FrattiniC3×C4C23×C3×D3
FittingH(3,𝔽3)×#137C2
socleC2×C3C2×C3×D3×D4
hypercenter#137(C3⋊D3)⋊C3
hypocenterC32C3×#578
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2 ◁ C2×C4 ◁ #137

Complements

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

NH ≅ G/Ntype
1. #11722639C2semidirect
2. #11722627C2semidirect
3. H(3,𝔽3)×#137C2semidirect
4. #64159⋊C3C2semidirect
5. C2×#3756⋊C3C2semidirect
6. #64127⋊C3C2semidirect
7. Q16×(C3⋊D3)⋊C3C2semidirect
8. #64125⋊C3C2semidirect
9. #64124⋊C3C2semidirect
10. #64118⋊C3C2semidirect
11. #64116⋊C3C2semidirect
12. #10596250C3semidirect
43. #64367C2×C3semidirect
44. #64364C2×C3semidirect
48. C32×#137D3semidirect
49. C32×#137C2×C3semidirect
50. #64159C2×C3semidirect
51. C2×#3756C2×C3semidirect
52. #64127C2×C3semidirect
53. Q16×C3⋊D3C2×C3semidirect
54. #64125C2×C3semidirect
55. #64124C2×C3semidirect
56. #64118C2×C3semidirect
57. #64116C2×C3semidirect
407. #137(C3⋊D3)⋊C3semidirect
413. H(3,𝔽3)#578semidirect
595. C32#5779semidirect
596. C32C3×#578semidirect

Maximal subgroups

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

subgroupindex
#117226392
#117226272
H(3,𝔽3)×#1372
#64159⋊C32
C2×#3756⋊C32
#64127⋊C32
Q16×(C3⋊D3)⋊C32
#64125⋊C32
#64124⋊C32
#64118⋊C32
#64116⋊C32
#105962503
C3×#57793