Finite Group Databasebeta

← #13150885

Subgroups — #13150885

Order 1728.

1305 conjugacy classes of subgroups.

The subgroup lattice has 655 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#88676C212yesmaximal, complemented
2#11721830C211yesmaximal, characteristic, complemented
3#64139⋊C3C211yesmaximal, characteristic, complemented
4C2×#3752⋊C3C211yesmaximal, characteristic, complemented
5#11721322C212yesmaximal, complemented
6#11721163C212yesmaximal, complemented
7#11721162C212yesmaximal, complemented
8#11721131C212yesmaximal, complemented
9#11721130C212yesmaximal, complemented
10#10595084—31nomaximal
11#10595072—31nomaximal
12C23×(C3⋊D3)⋊C3C2211yescharacteristic
13C22×((C3⋊D3)⋊C3)⋊C2C2212yescomplemented
14C22×C4×H(3,𝔽3)C2211yescharacteristic, complemented
15C2×#6235C2212yescomplemented
16C2×C4⋊#272C2211yescharacteristic, complemented
17C2×#638⋊C3C2212yescomplemented
18C22×(C3⋊Dic3)⋊C3C2211yescharacteristic, complemented
19C2×C4⋊((C3⋊D3)⋊C3)C2211yescharacteristic, complemented
20#88676—28no—
21C2×#6200C2212yes—
22C2×#6200C2212yescomplemented
23C2×#6198C2212yes—
24C2×((C3⋊D3)⋊C3)⋊C4C2212yescomplemented
25#88542C2212yescomplemented
26C4⋊#1084C2211yescharacteristic, complemented
27#3752⋊C3C2212yescomplemented
28#3752⋊C3C2212yescomplemented
29#3752⋊C3C2212yescomplemented
30C4⋊((C3⋊Dic3)⋊C3)C2211yescharacteristic, complemented
31#88451C2212yescomplemented
32#88450C2212yescomplemented
33#88448C2212yescomplemented
34C2×#3811—32no—
35C2×D3×#67—32no—
36#64139D311yescharacteristic, complemented
37C2×#3752D311yescharacteristic, complemented
38C3×#930—31no—
39C3×#930—31no—
40C3×#930—31no—
41C3×#930—61no—
42C2×C3×(C2×D3)⋊C4—31no—
43#63980—32no—
44#63978—32no—
45#63923—32no—
46#63922—32no—
47#63922—32no—
48#63922—32no—
49#63891—32no—
50#63890—32no—
51#63854—32no—
52#63854—32no—
53C23×H(3,𝔽3)C2311yescharacteristic
54C22×#272C2312yes—
55C22×(C3⋊D3)⋊C3—41no—
56C22×(C3⋊D3)⋊C3—41no—
57C22×(C3⋊D3)⋊C3D414yescomplemented
58C22×(C3⋊D3)⋊C3C2312yes—
59C22×(C3⋊D3)⋊C3C2312yes—
60C2×((C3⋊D3)⋊C3)⋊C2—24no—
61C2×((C3⋊D3)⋊C3)⋊C2—42no—
62C2×((C3⋊D3)⋊C3)⋊C2—42no—
63C2×C4×H(3,𝔽3)—41no—
64C2×C4×H(3,𝔽3)C2311yescharacteristic
65C2×C4×H(3,𝔽3)C2311yescharacteristic
66#6235—24no—
67C2×#1084C2312yes—
68C4⋊#272—41no—
69#638⋊C3—24no—
70C2×(C3⋊Dic3)⋊C3—41no—
71C2×(C3⋊Dic3)⋊C3C2312yes—
72C2×(C3⋊Dic3)⋊C3C2312yes—
73C4⋊((C3⋊D3)⋊C3)—41no—
74#6200—24no—
75#6200—42no—
76#6198—24no—
77((C3⋊D3)⋊C3)⋊C4—24no—
78#5605—91no—
79#5605—91no—
80#5493—91no—
81C23×C3⋊D3C2×D311yescharacteristic
82C23×C3×D3—31no—
83C22×D32—32no—
84C22×D32—32no—
85C22×C32×C4—21no—
86C22×C32×C4C2×D311yescharacteristic, complemented
87C22×C32×C4C2×D311yescharacteristic, complemented
88C2×#638C2×D312yescomplemented
89C22×C3⋊Dic3C2×D311yescharacteristic, complemented
90C2×C4⋊(C3⋊D3)C2×D311yescharacteristic, complemented
91C2×C3×#67—32no—
92C2×C3×#67—32no—
93C2×C3×#67—32no—
94C2×C3×#67—62no—
95C22×C3×Dic3—31no—
96C2×C3×D12—31no—
97C2×C3×D12—31no—
98C2×C3×D12—31no—
99C2×C3×D12—61no—
100#3811—68no—
101D3×#67—68no—
102C2×#626—32no—
103C2×#626—32no—
104C2×#626—32no—
105C2×#626—32no—
106C2×#625—32no—
107C2×#625—32no—
108C2×#624—32no—
109C2×D3×Dic3—32no—
110#3752C2×D312yescomplemented
111#3752C2×D312yescomplemented
112#3752C2×D312yescomplemented
113C4⋊(C3⋊Dic3)C2×D311yescharacteristic, complemented
114C3×(C2×D3)⋊C4—32no—
115C3×(C2×D3)⋊C4—32no—
116C3×(C2×D3)⋊C4—32no—
117C3×(C2×D3)⋊C4—32no—
118C3×(C2×D3)⋊C4—32no—
119C3×(C2×D3)⋊C4—62no—
120C3×C4⋊Dic3—31no—
121C3×C4⋊Dic3—31no—
122C3×C4⋊Dic3—31no—
123C3×C4⋊Dic3—61no—
124#3724—32no—
125Dic3⋊Dic3—32no—
126#3722—32no—
127(C2×D3)⋊Dic3—32no—
128(C2×D3)⋊Dic3—32no—
129(C2×D3)⋊Dic3—32no—
130C22×H(3,𝔽3)—21no—
131C22×H(3,𝔽3)—21no—
132C22×H(3,𝔽3)C2×D412yes—
133C22×H(3,𝔽3)C2411yescharacteristic
134C2×#272—22no—
135C2×#272—22no—
136C2×#272—22no—
137C2×(C3⋊D3)⋊C3—22no—
138C2×(C3⋊D3)⋊C3—22no—
139C2×(C3⋊D3)⋊C3—22no—
140C2×(C3⋊D3)⋊C3—22no—
141C2×(C3⋊D3)⋊C3—22no—
142C2×(C3⋊D3)⋊C3—44no—
143C2×(C3⋊D3)⋊C3C2×D414yes—
144((C3⋊D3)⋊C3)⋊C2—48no—
145C4×H(3,𝔽3)—21no—
146C4×H(3,𝔽3)—21no—
147#1084—22no—
148(C3⋊Dic3)⋊C3—22no—
149(C3⋊Dic3)⋊C3—22no—
150C22×#67—92no—
151C2×D3×D4—92no—
152C2×D3×D4—92no—
153C3×#121—91no—
154C3×#121—91no—
155C2×C3×C22⋊C4—91no—
156#939—92no—
157#939—92no—
158#937—92no—
159#937—92no—
160#930—31no—
161#930—31no—
162#930—31no—
163#930—61no—
164#930—91no—
165#930—92no—
166C2×(C2×D3)⋊C4—31no—
167C2×(C2×D3)⋊C4—91no—
168#894—92no—
169#894—92no—
170#886—92no—
171#886—92no—
172#883—92no—
173#883—92no—
174#882—92no—
175#882—92no—
176#882—92no—
177#882—92no—
178C23×C32—21no—
179C23×C32C22×D311yescharacteristic
180C23×C32C22×D311yescharacteristic
181C22×C3⋊D3—41no—
182C22×C3⋊D3—41no—
183C22×C3⋊D3D1214yescomplemented
184C22×C3⋊D3C22×D312yes—
185C22×C3⋊D3C22×D312yes—
186C22×C3×D3—32no—
187C22×C3×D3—34no—
188C22×C3×D3—32no—
189C22×C3×D3—32no—
190C22×C3×D3—32no—
191C22×C3×D3—62no—
192C22×C3×D3—121no—
193C22×C3×D3—121no—
194C2×D32—64no—
195C2×D32—64no—
196C2×D32—122no—
197C2×D32—122no—
198C2×D32—122no—
199C2×D32—122no—
200C2×C32×C4—21no—
201C2×C32×C4—21no—
202C2×C32×C4—41no—
203C2×C32×C4—41no—
204C2×C32×C4—42no—
205C2×C32×C4C22×D311yescharacteristic
206C2×C32×C4C22×D311yescharacteristic
207C2×C32×C4C22×D311yescharacteristic
208C2×C32×C4C22×D311yescharacteristic
209#638—24no—
210C2×C3⋊Dic3—41no—
211C2×C3⋊Dic3C22×D312yes—
212C2×C3⋊Dic3C22×D312yes—
213C4⋊(C3⋊D3)—41no—
214C3×#67—64no—
215C3×#67—64no—
216C3×#67—64no—
217C3×#67—124no—
218C2×C3×Dic3—32no—
219C2×C3×Dic3—32no—
220C2×C3×Dic3—32no—
221C2×C3×Dic3—32no—
222C2×C3×Dic3—62no—
223C2×C3×Dic3—121no—
224C3×D12—121no—
225C3×D12—121no—
226C3×D12—121no—
227C3×D12—122no—
228#626—64no—
229#626—64no—
230#626—64no—
231#626—122no—
232#625—64no—
233#625—122no—
234#624—64no—
235D3×Dic3—64no—
236#534—271noSylow
237C2×H(3,𝔽3)—22no—
238C2×H(3,𝔽3)C22×D411yescharacteristic
239C2×H(3,𝔽3)H(5,𝔽2)11yescharacteristic
240C2×H(3,𝔽3)H(5,𝔽2)11yescharacteristic
241#272—42no—
242(C3⋊D3)⋊C3—24no—
243(C3⋊D3)⋊C3—42no—
244C24×C3—91no—
245C23×D3—31no—
246C23×D3—91no—
247C23×D3—92no—
248C23×D3—92no—
249C23×D3—92no—
250C2×C3×D4—91no—
251C2×C3×D4—92no—
252C2×C3×D4—92no—
253C2×C3×D4—91no—
254C22×C3×C4—31no—
255C22×C3×C4—31no—
256C22×C3×C4—61no—
257C22×C3×C4—91no—
258C22×C3×C4D3211yescharacteristic
259C2×#67—32no—
260C2×#67—32no—
261C2×#67—32no—
262C2×#67—62no—
263C2×#67—92no—
264C2×#67—92no—
265C2×#67—92no—
266C2×#67—92no—
267C2×#67—92no—
268C2×#67—92no—
269C2×#67—92no—
270C2×#67—188no—
271C22×Dic3—31no—
272C22×Dic3—91no—
273C22×Dic3—92no—
274D3×D4—188no—
275D3×D4—188no—
276C2×D12—31no—
277C2×D12—31no—
278C2×D12—31no—
279C2×D12—61no—
280C2×D12—91no—
281C2×D12—92no—
282C2×D12—92no—
283C2×D12—92no—
284C2×C4×D3—92no—
285C2×C4×D3—92no—
286C3×C4⋊C4—91no—
287C3×C4⋊C4—91no—
288C3×C22⋊C4—92no—
289C3×C22⋊C4—92no—
290C3×C22⋊C4—92no—
291C3×C22⋊C4—92no—
292#217—92no—
293#217—92no—
294(C2×D3)⋊C4—32no—
295(C2×D3)⋊C4—32no—
296(C2×D3)⋊C4—32no—
297(C2×D3)⋊C4—32no—
298(C2×D3)⋊C4—32no—
299(C2×D3)⋊C4—62no—
300(C2×D3)⋊C4—92no—
301(C2×D3)⋊C4—92no—
302(C2×D3)⋊C4—92no—
303(C2×D3)⋊C4—92no—
304(C2×D3)⋊C4—92no—
305(C2×D3)⋊C4—92no—
306(C2×D3)⋊C4—92no—
307C4⋊Dic3—31no—
308C4⋊Dic3—31no—
309C4⋊Dic3—31no—
310C4⋊Dic3—61no—
311C4⋊Dic3—91no—
312C4⋊Dic3—92no—
313Dic3⋊C4—92no—
314Dic3⋊C4—92no—
315C22×C32—21no—
316C22×C32—21no—
317C22×C32—21no—
318C22×C32—21no—
319C22×C32—21no—
320C22×C32—22no—
321C22×C32—41no—
322C22×C32—41no—
323C22×C32C2×D1212yes—
324C22×C32D3×D412yes—
325C22×C32C23×D311yescharacteristic
326C22×C32C23×D311yescharacteristic
327C2×C3⋊D3—22no—
328C2×C3⋊D3—22no—
329C2×C3⋊D3—22no—
330C2×C3⋊D3—22no—
331C2×C3⋊D3—22no—
332C2×C3⋊D3—44no—
333C2×C3⋊D3C2×D1214yes—
334C2×C3×D3—34no—
335C2×C3×D3—62no—
336C2×C3×D3—62no—
337C2×C3×D3—62no—
338C2×C3×D3—62no—
339C2×C3×D3—62no—
340C2×C3×D3—62no—
341C2×C3×D3—62no—
342C2×C3×D3—62no—
343C2×C3×D3—62no—
344C2×C3×D3—62no—
345C2×C3×D3—62no—
346C2×C3×D3—122no—
347C2×C3×D3—122no—
348C2×C3×D3—122no—
349C2×C3×D3—124no—
350D32—128no—
351D32—128no—
352C32×C4—22no—
353C32×C4—21no—
354C32×C4—21no—
355C32×C4—21no—
356C32×C4—21no—
357C32×C4—41no—
358C3⋊Dic3—22no—
359C3⋊Dic3—22no—
360C3×Dic3—62no—
361C3×Dic3—62no—
362C3×Dic3—62no—
363C3×Dic3—62no—
364C3×Dic3—122no—
365C22×D4—272no—
366#123—272no—
367#123—272no—
368#121—91no—
369#121—91no—
370#121—272no—
371#120—272no—
372#120—272no—
373C2×C22⋊C4—91no—
374H(3,𝔽3)#53411yescharacteristic, complemented, Sylow
375C23×C3—31no—
376C23×C3—31no—
377C23×C3—61no—
378C23×C3—92no—
379C23×C3—94no—
380C23×C3—92no—
381C23×C3—92no—
382C23×C3—361no—
383C23×C3—361no—
384C23×C3C2×D3211yescharacteristic
385C22×D3—32no—
386C22×D3—34no—
387C22×D3—32no—
388C22×D3—32no—
389C22×D3—32no—
390C22×D3—62no—
391C22×D3—92no—
392C22×D3—94no—
393C22×D3—92no—
394C22×D3—121no—
395C22×D3—121no—
396C22×D3—184no—
397C22×D3—184no—
398C22×D3—184no—
399C22×D3—361no—
400C22×D3—361no—
401C22×D3—362no—
402C22×D3—362no—
403C22×D3—362no—
404C22×D3—362no—
405C22×D3—362no—
406C22×D3—362no—
407C3×D4—184no—
408C3×D4—184no—
409C3×D4—361no—
410C3×D4—361no—
411C2×C3×C4—31no—
412C2×C3×C4—31no—
413C2×C3×C4—31no—
414C2×C3×C4—31no—
415C2×C3×C4—41no—
416C2×C3×C4—61no—
417C2×C3×C4—61no—
418C2×C3×C4—92no—
419C2×C3×C4—92no—
420C2×C3×C4—92no—
421C2×C3×C4—121no—
422C2×C3×C4—121no—
423C2×C3×C4—122no—
424C2×C3×C4—361no—
425C2×C3×C4C2×D3211yescharacteristic
426C2×C3×C4C2×D3211yescharacteristic
427#67—64no—
428#67—64no—
429#67—64no—
430#67—124no—
431#67—184no—
432#67—184no—
433#67—184no—
434#67—184no—
435#67—184no—
436#67—362no—
437#67—362no—
438C2×Dic3—32no—
439C2×Dic3—32no—
440C2×Dic3—32no—
441C2×Dic3—32no—
442C2×Dic3—62no—
443C2×Dic3—92no—
444C2×Dic3—92no—
445C2×Dic3—121no—
446C2×Dic3—184no—
447C2×Dic3—361no—
448D12—121no—
449D12—121no—
450D12—121no—
451D12—122no—
452D12—184no—
453D12—184no—
454D12—361no—
455D12—362no—
456C4×D3—184no—
457C4×D3—184no—
458C2×C32—22no—
459C2×C32—22no—
460C2×C32—21no—
461C2×C32—21no—
462C2×C32—21no—
463C2×C32—42no—
464C2×C32C22×D1211yescharacteristic
465C2×C32C2×D3×D411yescharacteristic
466C2×C32#100411yescharacteristic
467C2×C32#100411yescharacteristic
468C2×C32#100411yescharacteristic
469C2×C32#100911yescharacteristic
470C3⋊D3—24no—
471C3⋊D3—42no—
472C3×D3—64no—
473C3×D3—122no—
474C3×D3—122no—
475C3×D3—122no—
476C3×D3—242no—
477C24—91no—
478C24—272no—
479C2×D4—92no—
480C2×D4—92no—
481C2×D4—91no—
482C2×D4—91no—
483C2×D4—272no—
484C2×D4—272no—
485C2×D4—272no—
486C2×D4—548no—
487C22×C4—91no—
488C22×C4—272no—
489C22×C4((C3⋊D3)⋊C3)⋊C211yescharacteristic, complemented
490C4⋊C4—91no—
491C4⋊C4—91no—
492C4⋊C4—272no—
493C22⋊C4—92no—
494C22⋊C4—92no—
495C22⋊C4—92no—
496C22⋊C4—92no—
497C22⋊C4—272no—
498C22⋊C4—272no—
499C22×C3—21no—
500C22×C3—21no—
501C22×C3—31no—
502C22×C3—31no—
503C22×C3—32no—
504C22×C3—32no—
505C22×C3—61no—
506C22×C3—61no—
507C22×C3—61no—
508C22×C3—61no—
509C22×C3—61no—
510C22×C3—62no—
511C22×C3—94no—
512C22×C3—121no—
513C22×C3—121no—
514C22×C3—182no—
515C22×C3—182no—
516C22×C3—182no—
517C22×C3—182no—
518C22×C3—182no—
519C22×C3—182no—
520C22×C3—182no—
521C22×C3—182no—
522C22×C3—364no—
523C22×C3D3×D1212yes—
524C22×C3C22×D3211yescharacteristic
525C2×D3—34no—
526C2×D3—62no—
527C2×D3—62no—
528C2×D3—62no—
529C2×D3—62no—
530C2×D3—62no—
531C2×D3—62no—
532C2×D3—62no—
533C2×D3—62no—
534C2×D3—62no—
535C2×D3—62no—
536C2×D3—62no—
537C2×D3—94no—
538C2×D3—122no—
539C2×D3—122no—
540C2×D3—122no—
541C2×D3—124no—
542C2×D3—182no—
543C2×D3—182no—
544C2×D3—182no—
545C2×D3—182no—
546C2×D3—182no—
547C2×D3—364no—
548C2×D3—368no—
549C2×D3—368no—
550C2×D3—368no—
551C3×C4—21no—
552C3×C4—21no—
553C3×C4—61no—
554C3×C4—61no—
555C3×C4—61no—
556C3×C4—61no—
557C3×C4—62no—
558C3×C4—121no—
559C3×C4—182no—
560C3×C4—182no—
561C3×C4—182no—
562Dic3—62no—
563Dic3—62no—
564Dic3—62no—
565Dic3—62no—
566Dic3—122no—
567Dic3—182no—
568Dic3—182no—
569C32—21no—
570C32#549311yescharacteristic, complemented
571C32#560511yescharacteristic, complemented
572C23—92no—
573C23—94no—
574C23—92no—
575C23—92no—
576C23—361no—
577C23—361no—
578C23—544no—
579C23—1082no—
580C23—1082no—
581C23C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
582D4—184no—
583D4—184no—
584D4—361no—
585D4—361no—
586D4—544no—
587D4—544no—
588D4—1082no—
589C2×C4—41no—
590C2×C4—92no—
591C2×C4—92no—
592C2×C4—92no—
593C2×C4—361no—
594C2×C4—544no—
595C2×C4C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
596C2×C4C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
597C2×C3—22no—
598C2×C3—31no—
599C2×C3—31no—
600C2×C3—31no—
601C2×C3—31no—
602C2×C3—31no—
603C2×C3—31no—
604C2×C3—62no—
605C2×C3—62no—
606C2×C3—61no—
607C2×C3—61no—
608C2×C3—61no—
609C2×C3—122no—
610C2×C3—184no—
611C2×C3—362no—
612C2×C3—362no—
613C2×C3C2×D3×D1211yescharacteristic
614C2×C3#6430711yescharacteristic
615C2×C3#6433011yescharacteristic
616D3—64no—
617D3—122no—
618D3—122no—
619D3—122no—
620D3—184no—
621D3—242no—
622D3—362no—
623C22—21no—
624C22—21no—
625C22—94no—
626C22—182no—
627C22—182no—
628C22—182no—
629C22—182no—
630C22—182no—
631C22—182no—
632C22—182no—
633C22—182no—
634C22—364no—
635C22—1088no—
636C22#8865412yes—
637C22C22×((C3⋊D3)⋊C3)⋊C211yescharacteristic
638C4—21no—
639C4—21no—
640C4—182no—
641C4—182no—
642C4—182no—
643C3—31no—
644C3—31no—
645C3—61no—
646C3#1059507211yescharacteristic
647C2—22no—
648C2—184no—
649C2—362no—
650C2—362no—
651C2C2×#8865411yescharacteristic
652C2#1172249211yescharacteristic
653C2#1172254511yescharacteristic
subgroupG/H
centerC22C22×((C3⋊D3)⋊C3)⋊C2
commutator, cosocleC22×H(3,𝔽3)C24
Frattini, socleC22×C3C22×D32
FittingC22×C4×H(3,𝔽3)C22
hypercenterC22×C4((C3⋊D3)⋊C3)⋊C2
hypocenterH(3,𝔽3)#534
LCSG ▷ C22×H(3,𝔽3) ▷ H(3,𝔽3)
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C2×#88676C2semidirect
2. #11721830C2semidirect
3. #64139⋊C3C2semidirect
4. C2×#3752⋊C3C2semidirect
5. #11721322C2semidirect
6. #11721163C2semidirect
7. #11721162C2semidirect
8. #11721131C2semidirect
9. #11721130C2semidirect
13. C22×((C3⋊D3)⋊C3)⋊C2C22semidirect
14. C22×C4×H(3,𝔽3)C22semidirect
15. C2×#6235C22semidirect
16. C2×C4⋊#272C22semidirect
17. C2×#638⋊C3C22semidirect
18. C22×(C3⋊Dic3)⋊C3C22semidirect
19. C2×C4⋊((C3⋊D3)⋊C3)C22semidirect
22. C2×#6200C22semidirect
24. C2×((C3⋊D3)⋊C3)⋊C4C22semidirect
25. #88542C22semidirect
26. C4⋊#1084C22semidirect
27. #3752⋊C3C22semidirect
28. #3752⋊C3C22semidirect
29. #3752⋊C3C22semidirect
30. C4⋊((C3⋊Dic3)⋊C3)C22semidirect
31. #88451C22semidirect
32. #88450C22semidirect
33. #88448C22semidirect
36. #64139D3semidirect
37. C2×#3752D3semidirect
57. C22×(C3⋊D3)⋊C3D4semidirect
86. C22×C32×C4C2×D3semidirect
87. C22×C32×C4C2×D3semidirect
88. C2×#638C2×D3semidirect
89. C22×C3⋊Dic3C2×D3semidirect
90. C2×C4⋊(C3⋊D3)C2×D3semidirect
110. #3752C2×D3semidirect
111. #3752C2×D3semidirect
112. #3752C2×D3semidirect
113. C4⋊(C3⋊Dic3)C2×D3semidirect
183. C22×C3⋊D3D12semidirect
374. H(3,𝔽3)#534semidirect
489. C22×C4((C3⋊D3)⋊C3)⋊C2semidirect
570. C32#5493semidirect
571. C32#5605semidirect

Maximal subgroups

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

subgroupindex
C2×#886762
#117218302
#64139⋊C32
C2×#3752⋊C32
#117213222
#117211632
#117211622
#117211312
#117211302
#105950843
#105950723