Finite Group Databasebeta

← #13148317

Subgroups — #13148317

Order 1728.

778 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721723C211yesmaximal, characteristic, complemented
2C9×#883C211yesmaximal, characteristic, complemented
3C3×#63447C211yesmaximal, characteristic, complemented
4#67⋊Dic9C211yesmaximal, characteristic, complemented
5#11721281C211yesmaximal, characteristic
6#611⋊Dic3C211yesmaximal, characteristic, complemented
7#11721246C211yesmaximal, characteristic, complemented
8#11721032C211yesmaximal, characteristic, complemented
9#11721028C211yesmaximal, characteristic, complemented
10#11721018C211yesmaximal, characteristic, complemented
11C4×D3×Dic9C211yesmaximal, characteristic, complemented
12#11720975C211yesmaximal, characteristic, complemented
13#11720946C211yesmaximal, characteristic, complemented
14#11720933C211yesmaximal, characteristic, complemented
15#11720910C211yesmaximal, characteristic, complemented
16#10594111—31nomaximal
17#10589751—31nomaximal
18C22×C3⋊Dic9C2211yescharacteristic
19C2×C9×#67C2211yescharacteristic
20C2×C3×#611C2211yescharacteristic
21C2×C4×D3×C9C2211yescharacteristic
22C2×C3×Dic18C2211yescharacteristic
23C2×#6194C2211yescharacteristic
24C2×D3×Dic9C2211yescharacteristic
25C2×D3×Dic9C2211yescharacteristic
26C2×Dic3×D9C2211yescharacteristic
27C3×C9×C22⋊C4C2211yescharacteristic
28#88551C2211yescharacteristic
29#88534C2211yescharacteristic
30#88534C2211yescharacteristic
31C4×C3⋊Dic9C2211yescharacteristic
32C4×C3⋊Dic9C2211yescharacteristic
33C9×#217C2211yescharacteristic
34C3×#3676C2211yescharacteristic
35C9×(C2×D3)⋊C4C2211yescharacteristic
36C3×(C2×D9)⋊C4C2211yescharacteristic
37C3×(C2×D9)⋊C4C2211yescharacteristic
38C9×C4⋊Dic3C2211yescharacteristic
39C9×Dic3⋊C4C2211yescharacteristic
40C3×C4×Dic9C2211yescharacteristic
41(C2×D3)⋊Dic9C2211yescharacteristic
42(C2×D9)⋊Dic3C2211yescharacteristic
43(C2×D9)⋊Dic3C2211yescharacteristic
44Dic3⋊Dic9C2211yescharacteristic
45Dic3⋊Dic9C2211yescharacteristic
46#88442C2211yescharacteristic
47Dic9⋊Dic3C2211yescharacteristic
48Dic9⋊Dic3C2211yescharacteristic
49Dic9⋊Dic3C2211yescharacteristic
50Dic3×Dic9C2211yescharacteristic
51Dic3×Dic9C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53#64086—31no—
54C3×#885—31no—
55C3×#883D311yescharacteristic
56#67⋊Dic3—31no—
57#67⋊Dic3—31no—
58#63970—31no—
59#63956—31no—
60#63905—31no—
61#63902—31no—
62#63887—31no—
63#63878—31no—
64C4×D3×Dic3—31no—
65#63867—31no—
66#63858—31no—
67#63843—31no—
68C9×#123—31no—
69#63501—31no—
70D4×Dic9—31no—
71#63491—31no—
72C2×C4×Dic9—31no—
73#63460—31no—
74#63454—31no—
75#63451—31no—
76#63449—31no—
77#63447D311yescharacteristic, complemented
78#611⋊C4—31no—
79#611⋊C4—31no—
80#63441—31no—
81#63440—31no—
82#63439—31no—
83#63439—61no—
84C23×C3×C9C2311yescharacteristic
85C22×D3×C9C2311yescharacteristic
86C22×C3×D9C2311yescharacteristic
87C2×C3×C4×C9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3⋊Dic9—22no—
90C2×C3⋊Dic9C2311yescharacteristic
91C2×C3⋊Dic9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94C9×#67—22no—
95C3×#611—22no—
96C2×C9×Dic3C2311yescharacteristic
97C2×C9×Dic3C2311yescharacteristic
98C2×C9×Dic3C2311yescharacteristic
99C2×C3×Dic9C2311yescharacteristic
100C2×C3×Dic9C2311yescharacteristic
101C2×C3×Dic9C2311yescharacteristic
102C4×D3×C9—22no—
103C3×Dic18—22no—
104#6194—22no—
105D3×Dic9—22no—
106D3×Dic9—22no—
107Dic3×D9—22no—
108#5680—91no—
109#5649—91no—
110C22×C3⋊Dic3—31no—
111C2×C3×#67—31no—
112C2×C3×#67C2×D311yescharacteristic
113C2×C3×C4×D3C2×D311yescharacteristic
114C2×C3×Dic6—31no—
115C2×#625—31no—
116C2×D3×Dic3—31no—
117C2×D3×Dic3—31no—
118C2×D3×Dic3—31no—
119C32×C22⋊C4C2×D311yescharacteristic
120#3757—31no—
121#3750—31no—
122#3750—31no—
123C4×C3⋊Dic3—31no—
124C4×C3⋊Dic3—31no—
125C3×#217—31no—
126C3×#217C2×D311yescharacteristic
127C3×(C2×D3)⋊C4—31no—
128C3×(C2×D3)⋊C4—31no—
129C3×(C2×D3)⋊C4C2×D311yescharacteristic
130C3×C4⋊Dic3C2×D311yescharacteristic
131C3×Dic3⋊C4C2×D311yescharacteristic
132C3×C4×Dic3—31no—
133#3724—31no—
134Dic3⋊Dic3—31no—
135Dic3⋊Dic3—31no—
136Dic3⋊Dic3—31no—
137Dic3⋊Dic3—31no—
138Dic3⋊Dic3—31no—
139(C2×D3)⋊Dic3—31no—
140(C2×D3)⋊Dic3—31no—
141(C2×D3)⋊Dic3—31no—
142Dic32—31no—
143Dic32—31no—
144Dic32—31no—
145C2×D4×C9—31no—
146C22×C4×C9—31no—
147C2×#611—31no—
148C2×#611C2×D311yescharacteristic
149C22×Dic9—31no—
150C22×Dic9—31no—
151C22×Dic9—31no—
152C22×Dic9—61no—
153C2×C4×D9—31no—
154C2×Dic18C2×D311yescharacteristic
155C9×C4⋊C4—31no—
156C9×C4⋊C4—31no—
157C9×C22⋊C4—21no—
158C9×C22⋊C4—31no—
159C9×C22⋊C4—31no—
160C9×C22⋊C4C2×D311yescharacteristic
161#3676—31no—
162#3676—31no—
163#3676—61no—
164#3676C2×D311yescharacteristic
165(C2×D9)⋊C4—31no—
166(C2×D9)⋊C4—31no—
167(C2×D9)⋊C4C2×D311yescharacteristic
168(C2×D9)⋊C4C2×D311yescharacteristic
169C4⋊Dic9—31no—
170C4⋊Dic9—31no—
171Dic9⋊C4—31no—
172Dic9⋊C4—31no—
173Dic9⋊C4—31no—
174Dic9⋊C4—31no—
175Dic9⋊C4—31no—
176Dic9⋊C4—31no—
177Dic9⋊C4—61no—
178Dic9⋊C4—61no—
179C4×Dic9—31no—
180C4×Dic9—31no—
181C4×Dic9—31no—
182C4×Dic9—31no—
183C4×Dic9—31no—
184C4×Dic9—61no—
185C4×Dic9—61no—
186C4×Dic9C2×D311yescharacteristic
187C22×C3×C9—21no—
188C22×C3×C9—21no—
189C22×C3×C9—21no—
190C22×C3×C9C2411yescharacteristic
191C2×D3×C9—21no—
192C2×D3×C9—21no—
193C2×D3×C9#4112yes—
194C2×C3×D9—21no—
195C2×C3×D9—21no—
196C2×C3×D9—21no—
197C3×C4×C9—21no—
198C3×C4×C9—21no—
199C3⋊Dic9—21no—
200C3⋊Dic9—21no—
201C3⋊Dic9—21no—
202C3⋊Dic9#4112yes—
203C9×Dic3—21no—
204C9×Dic3—21no—
205C9×Dic3—21no—
206C3×Dic9—21no—
207C3×Dic9—21no—
208C3×Dic9#4112yes—
209C3×#124—91no—
210C3×#123—31no—
211#946—91no—
212Q8×Dic3—91no—
213#939—91no—
214#938—91no—
215D4×Dic3—91no—
216D4×Dic3—91no—
217#929—91no—
218C2×C4×Dic3—91no—
219#898—91no—
220#892—91no—
221#889—91no—
222#887—91no—
223#885—31no—
224#883—91no—
225#883D911yescharacteristic, complemented
226#67⋊C4—91no—
227#67⋊C4—91no—
228#67⋊C4—91no—
229#67⋊C4—91no—
230#879—91no—
231#879—91no—
232#879—91no—
233#878—91no—
234#877—91no—
235#877—91no—
236#877—91no—
237#877—181no—
238C42×D3—91no—
239#870—91no—
240C23×C32C22×D311yescharacteristic
241C22×C3×D3—31no—
242C22×C3×D3C22×D311yescharacteristic
243C2×C32×C4C22×D311yescharacteristic
244C2×C32×C4C22×D311yescharacteristic
245C2×C3⋊Dic3—31no—
246C2×C3⋊Dic3—31no—
247C2×C3⋊Dic3—31no—
248C2×C3⋊Dic3—31no—
249C2×C3⋊Dic3—62no—
250C3×#67—22no—
251C3×#67—62no—
252C2×C3×Dic3—31no—
253C2×C3×Dic3—31no—
254C2×C3×Dic3—31no—
255C2×C3×Dic3C22×D311yescharacteristic
256C2×C3×Dic3C22×D311yescharacteristic
257C2×C3×Dic3C22×D311yescharacteristic
258C3×C4×D3—22no—
259C3×Dic6—62no—
260#625—62no—
261D3×Dic3—62no—
262D3×Dic3—62no—
263D3×Dic3—62no—
264C23×C9—21no—
265C23×C9—31no—
266C23×C9C22×D311yescharacteristic
267C22×D9C22×D311yescharacteristic
268D4×C9—62no—
269C2×C4×C9—21no—
270C2×C4×C9—21no—
271C2×C4×C9—31no—
272C2×C4×C9—31no—
273C2×C4×C9—31no—
274C2×C4×C9—62no—
275C2×C4×C9C22×D311yescharacteristic
276C2×C4×C9C22×D311yescharacteristic
277#611—22no—
278#611—62no—
279C2×Dic9—31no—
280C2×Dic9—31no—
281C2×Dic9—31no—
282C2×Dic9—31no—
283C2×Dic9—61no—
284C2×Dic9—61no—
285C2×Dic9—61no—
286C2×Dic9—61no—
287C2×Dic9—62no—
288C2×Dic9—62no—
289C2×Dic9—64no—
290C2×Dic9—62no—
291C2×Dic9C22×D311yescharacteristic
292C2×Dic9C22×D311yescharacteristic
293C2×Dic9C22×D311yescharacteristic
294C4×D9—62no—
295Dic18—22no—
296#529—271noSylow
297C2×C3×C9—41no—
298C2×C3×C9C2×#4111yescharacteristic
299C2×C3×C9C2×#4111yescharacteristic
300C2×C3×C9C2×#4111yescharacteristic
301D3×C9—22no—
302C3×D9—41no—
303C2×C3×Q8—91no—
304C2×C3×D4—31no—
305C2×C3×D4—91no—
306C22×C3×C4—31no—
307C2×#67—31no—
308C2×#67—91no—
309C2×#67—91no—
310C2×#67C2×D911yescharacteristic
311C22×Dic3—91no—
312C22×Dic3—91no—
313C22×Dic3—91no—
314C22×Dic3—91no—
315C22×Dic3—91no—
316C22×Dic3—181no—
317C2×C4×D3—91no—
318C2×C4×D3—91no—
319C2×C4×D3—91no—
320C2×C4×D3C2×D911yescharacteristic
321C2×Dic6—31no—
322C3×C4⋊C4—31no—
323C3×C4⋊C4—31no—
324C3×C22⋊C4—21no—
325C3×C22⋊C4—31no—
326C3×C22⋊C4—31no—
327C3×C22⋊C4—91no—
328C3×C22⋊C4—91no—
329C3×C22⋊C4—91no—
330C3×C22⋊C4C2×D911yescharacteristic
331C3×C22⋊C4D3211yescharacteristic
332C3×C42—91no—
333#217—31no—
334#217—91no—
335#217—91no—
336#217—91no—
337#217—91no—
338#217—91no—
339#217—181no—
340#217C2×D911yescharacteristic
341(C2×D3)⋊C4—31no—
342(C2×D3)⋊C4—31no—
343(C2×D3)⋊C4—91no—
344(C2×D3)⋊C4—91no—
345(C2×D3)⋊C4—91no—
346(C2×D3)⋊C4C2×D911yescharacteristic
347C4⋊Dic3—91no—
348C4⋊Dic3—91no—
349C4⋊Dic3—91no—
350C4⋊Dic3—91no—
351C4⋊Dic3—91no—
352C4⋊Dic3C2×D911yescharacteristic
353Dic3⋊C4—91no—
354Dic3⋊C4—91no—
355Dic3⋊C4—91no—
356Dic3⋊C4—91no—
357Dic3⋊C4—91no—
358Dic3⋊C4—91no—
359Dic3⋊C4—91no—
360Dic3⋊C4—91no—
361Dic3⋊C4—91no—
362Dic3⋊C4—91no—
363Dic3⋊C4—91no—
364Dic3⋊C4—181no—
365Dic3⋊C4—181no—
366Dic3⋊C4C2×D911yescharacteristic
367C4×Dic3—31no—
368C4×Dic3—91no—
369C4×Dic3—91no—
370C4×Dic3—91no—
371C4×Dic3—91no—
372C4×Dic3—91no—
373C4×Dic3—91no—
374C4×Dic3—91no—
375C4×Dic3—91no—
376C4×Dic3—91no—
377C4×Dic3—91no—
378C4×Dic3—181no—
379C4×Dic3—181no—
380C22×C32—21no—
381C22×C32—21no—
382C22×C32—21no—
383C22×C32C23×D311yescharacteristic
384C2×C3×D3—21no—
385C2×C3×D3—21no—
386C2×C3×D3—61no—
387C2×C3×D3—61no—
388C2×C3×D3—61no—
389C2×C3×D3#23712yes—
390C32×C4—21no—
391C32×C4—21no—
392C3⋊Dic3—32no—
393C3⋊Dic3—61no—
394C3⋊Dic3—61no—
395C3⋊Dic3—61no—
396C3×Dic3—21no—
397C3×Dic3—21no—
398C3×Dic3—21no—
399C3×Dic3—32no—
400C3×Dic3—61no—
401C3×Dic3—61no—
402C22×C9—22no—
403C22×C9—21no—
404C22×C9—21no—
405C22×C9—21no—
406C22×C9—21no—
407C22×C9—32no—
408C22×C9—41no—
409C22×C9—41no—
410C22×C9—61no—
411C22×C9—61no—
412C22×C9C23×D311yescharacteristic
413C2×D9—21no—
414C2×D9—21no—
415C2×D9—21no—
416C4×C9—21no—
417C4×C9—21no—
418C4×C9—41no—
419C4×C9—41no—
420C4×C9—61no—
421C4×C9—61no—
422C4×C9—61no—
423Dic9—21no—
424Dic9—21no—
425Dic9—32no—
426Dic9—62no—
427Dic9—62no—
428Dic9—61no—
429Dic9—61no—
430Dic9—61no—
431Dic9—121no—
432Dic9—121no—
433Dic9#23712yes—
434#126—271no—
435#126—271no—
436#125—271no—
437#124—91no—
438#123—31no—
439#123—271no—
440C22⋊Q8—271no—
441#121—271no—
442C4×Q8—271no—
443C4×D4—271no—
444C4×D4—271no—
445C4×D4—271no—
446#117—271no—
447#117—271no—
448C2×C42—271no—
449C3×C9#52911yescharacteristic, complemented, Sylow
450C23×C3—21no—
451C23×C3—31no—
452C23×C3—91no—
453C23×C3C22×D911yescharacteristic
454C23×C3C2×D3211yescharacteristic
455C22×D3—31no—
456C22×D3C22×D911yescharacteristic
457C3×Q8—182no—
458C3×D4—62no—
459C3×D4—182no—
460C2×C3×C4—21no—
461C2×C3×C4—21no—
462C2×C3×C4—31no—
463C2×C3×C4—31no—
464C2×C3×C4—31no—
465C2×C3×C4—62no—
466C2×C3×C4—91no—
467C2×C3×C4—91no—
468C2×C3×C4—91no—
469C2×C3×C4C22×D911yescharacteristic
470C2×C3×C4C22×D911yescharacteristic
471C2×C3×C4C2×D3211yescharacteristic
472C2×C3×C4C2×D3211yescharacteristic
473#67—22no—
474#67—62no—
475#67—182no—
476#67—182no—
477C2×Dic3—31no—
478C2×Dic3—31no—
479C2×Dic3—31no—
480C2×Dic3—91no—
481C2×Dic3—91no—
482C2×Dic3—91no—
483C2×Dic3—91no—
484C2×Dic3—91no—
485C2×Dic3—91no—
486C2×Dic3—91no—
487C2×Dic3—91no—
488C2×Dic3—181no—
489C2×Dic3—181no—
490C2×Dic3—181no—
491C2×Dic3—181no—
492C2×Dic3—182no—
493C2×Dic3—182no—
494C2×Dic3—182no—
495C2×Dic3—182no—
496C2×Dic3—182no—
497C2×Dic3—184no—
498C2×Dic3C22×D911yescharacteristic
499C2×Dic3C22×D911yescharacteristic
500C2×Dic3C22×D911yescharacteristic
501C4×D3—22no—
502C4×D3—182no—
503C4×D3—182no—
504C4×D3—182no—
505Dic6—62no—
506C2×C32—41no—
507C2×C32C2×#23711yescharacteristic
508C2×C32D3×#4111yescharacteristic
509C2×C32D3×#4111yescharacteristic
510C3×D3—22no—
511C3×D3—121no—
512C2×C9—21no—
513C2×C9—21no—
514C2×C9—21no—
515C2×C9—42no—
516C2×C9—41no—
517C2×C9—62no—
518C2×C9C2×#23711yescharacteristic
519C2×C9D3×#4111yescharacteristic
520C2×C9D3×#4111yescharacteristic
521D9—41no—
522C2×Q8—91no—
523C2×D4—31no—
524C2×D4—91no—
525C2×D4—271no—
526C22×C4—31no—
527C22×C4—271no—
528C22×C4—271no—
529C22×C4—271no—
530C22×C4—271no—
531C4⋊C4—31no—
532C4⋊C4—31no—
533C4⋊C4—271no—
534C4⋊C4—271no—
535C4⋊C4—271no—
536C4⋊C4—271no—
537C4⋊C4—271no—
538C4⋊C4—271no—
539C4⋊C4—271no—
540C4⋊C4—271no—
541C22⋊C4—31no—
542C22⋊C4—31no—
543C22⋊C4—91no—
544C22⋊C4—91no—
545C22⋊C4—91no—
546C22⋊C4—271no—
547C22⋊C4—271no—
548C22⋊C4—271no—
549C22⋊C4—271no—
550C22⋊C4D3×D911yescharacteristic
551C42—91no—
552C42—271no—
553C42—271no—
554C42—271no—
555C42—271no—
556C42—271no—
557C22×C3—22no—
558C22×C3—21no—
559C22×C3—21no—
560C22×C3—21no—
561C22×C3—21no—
562C22×C3—21no—
563C22×C3—21no—
564C22×C3—21no—
565C22×C3—32no—
566C22×C3—41no—
567C22×C3—41no—
568C22×C3—61no—
569C22×C3—61no—
570C22×C3—181no—
571C22×C3—181no—
572C22×C3—181no—
573C22×C3C23×D911yescharacteristic
574C22×C3C22×D3211yescharacteristic
575C2×D3—21no—
576C2×D3—21no—
577C2×D3—61no—
578C2×D3—61no—
579C2×D3—61no—
580C2×D3#369912yes—
581C3×C4—21no—
582C3×C4—21no—
583C3×C4—21no—
584C3×C4—21no—
585C3×C4—41no—
586C3×C4—41no—
587C3×C4—61no—
588C3×C4—61no—
589C3×C4—61no—
590C3×C4—92no—
591C3×C4—181no—
592C3×C4—181no—
593Dic3—21no—
594Dic3—21no—
595Dic3—21no—
596Dic3—32no—
597Dic3—61no—
598Dic3—61no—
599Dic3—92no—
600Dic3—92no—
601Dic3—182no—
602Dic3—182no—
603Dic3—181no—
604Dic3—181no—
605Dic3—181no—
606Dic3—181no—
607Dic3—181no—
608Dic3—181no—
609Dic3—361no—
610Dic3—361no—
611C32#564911yescharacteristic
612C9—21no—
613C9#568011yescharacteristic, complemented
614C23—31no—
615C23—91no—
616C23C2×D3×D911yescharacteristic
617Q8—182no—
618D4—62no—
619D4—182no—
620D4—542no—
621C2×C4—31no—
622C2×C4—31no—
623C2×C4—31no—
624C2×C4—62no—
625C2×C4—91no—
626C2×C4—91no—
627C2×C4—91no—
628C2×C4—271no—
629C2×C4—271no—
630C2×C4—271no—
631C2×C4—271no—
632C2×C4—542no—
633C2×C4—542no—
634C2×C4—542no—
635C2×C4—542no—
636C2×C4C2×D3×D911yescharacteristic
637C2×C4C2×D3×D911yescharacteristic
638C2×C3—21no—
639C2×C3—21no—
640C2×C3—21no—
641C2×C3—42no—
642C2×C3—41no—
643C2×C3—41no—
644C2×C3—62no—
645C2×C3—361no—
646C2×C3C2×#369911yescharacteristic
647C2×C3#41×D911yescharacteristic
648C2×C3#41×D911yescharacteristic
649C2×C3#6430611yescharacteristic
650C2×C3D3×#23711yescharacteristic
651C2×C3D3×#23711yescharacteristic
652D3—22no—
653D3—121no—
654C22—21no—
655C22—21no—
656C22—21no—
657C22—32no—
658C22—61no—
659C22—61no—
660C22—181no—
661C22—181no—
662C22—181no—
663C22C22×D3×D911yescharacteristic
664C4—21no—
665C4—21no—
666C4—61no—
667C4—61no—
668C4—61no—
669C4—92no—
670C4—181no—
671C4—181no—
672C4—272no—
673C4—541no—
674C4—541no—
675C4—541no—
676C3—21no—
677C3#1058975111yescharacteristic, complemented
678C3#1059411111yescharacteristic
679C2—41no—
680C2—62no—
681C2—361no—
682C2#1172247511yescharacteristic
683C2D3×#369911yescharacteristic
684C2D9×#23711yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C22⋊C4C22
socleC22×C32C23×D3
prime radical#11721281C2
hypercenterC22⋊C4D3×D9
hypocenterC3×C9#529
LCSG ▷ C22×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C22⋊C4

Complements

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

NH ≅ G/Ntype
1. #11721723C2semidirect
2. C9×#883C2semidirect
3. C3×#63447C2semidirect
4. #67⋊Dic9C2semidirect
6. #611⋊Dic3C2semidirect
7. #11721246C2semidirect
8. #11721032C2semidirect
9. #11721028C2semidirect
10. #11721018C2semidirect
11. C4×D3×Dic9C2semidirect
12. #11720975C2semidirect
13. #11720946C2semidirect
14. #11720933C2semidirect
15. #11720910C2semidirect
77. #63447D3semidirect
225. #883D9semidirect
449. C3×C9#529semidirect
613. C9#5680semidirect
677. C3#10589751semidirect

Maximal subgroups

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

subgroupindex
#117217232
C9×#8832
C3×#634472
#67⋊Dic92
#117212812
#611⋊Dic32
#117212462
#117210322
#117210282
#117210182
C4×D3×Dic92
#117209752
#117209462
#117209332
#117209102
#105941113
#105897513