Finite Group Databasebeta

← #13148081

Subgroups — #13148081

Order 1728.

726 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721732C211yesmaximal, characteristic, complemented
2C9×#885C211yesmaximal, characteristic, complemented
3C3×#63441C211yesmaximal, characteristic, complemented
4#67⋊Dic9C211yesmaximal, characteristic, complemented
5#11721267C211yesmaximal, characteristic, complemented
6#11721262C211yesmaximal, characteristic
7#11721242C211yesmaximal, characteristic, complemented
8#11721023C211yesmaximal, characteristic, complemented
9#11721020C211yesmaximal, characteristic, complemented
10#11720986C211yesmaximal, characteristic, complemented
11#11720970C211yesmaximal, characteristic, complemented
12#11720965C211yesmaximal, characteristic, complemented
13#11720956C211yesmaximal, characteristic, complemented
14Dic6×Dic9C211yesmaximal, characteristic, complemented
15#11720898C211yesmaximal, characteristic, complemented
16#10594138—31nomaximal
17#10589784—31nomaximal
18C2×#6233C2211yescharacteristic
19C22×C3⋊Dic9C2211yescharacteristic
20C2×C9×#67C2211yescharacteristic
21C2×C9×Dic6C2211yescharacteristic
22C2×#6195C2211yescharacteristic
23C2×D3×Dic9C2211yescharacteristic
24C2×(C3⋊D9)⋊C4C2211yescharacteristic
25C2×#6189C2211yescharacteristic
26C2×#6189C2211yescharacteristic
27C3×C9×C22⋊C4C2211yescharacteristic
28#88536C2211yescharacteristic
29#88536C2211yescharacteristic
30C4⋊(C3⋊Dic9)C2211yescharacteristic
31C4⋊(C3⋊Dic9)C2211yescharacteristic
32C9×#217C2211yescharacteristic
33C3×#3676C2211yescharacteristic
34C3×#3676C2211yescharacteristic
35C9×(C2×D3)⋊C4C2211yescharacteristic
36C9×(C2×D3)⋊C4C2211yescharacteristic
37C4×C9×Dic3C2211yescharacteristic
38C3×C4⋊Dic9C2211yescharacteristic
39C3×Dic9⋊C4C2211yescharacteristic
40C3×Dic9⋊C4C2211yescharacteristic
41C3×C4×Dic9C2211yescharacteristic
42(C2×D3)⋊Dic9C2211yescharacteristic
43(C2×D3)⋊Dic9C2211yescharacteristic
44#88445C2211yescharacteristic
45#88445C2211yescharacteristic
46Dic3⋊Dic9C2211yescharacteristic
47Dic3⋊Dic9C2211yescharacteristic
48Dic3⋊Dic9C2211yescharacteristic
49#88442C2211yescharacteristic
50Dic9⋊Dic3C2211yescharacteristic
51Dic3×Dic9C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53#64095—31no—
54C3×#885D311yescharacteristic
55C3×#879—31no—
56#63982—31no—
57#67⋊Dic3—31no—
58#63958—31no—
59#63953—31no—
60#63918—31no—
61#63893—31no—
62#63890—31no—
63#63888—31no—
64#63861—31no—
65#63852—31no—
66Dic3×Dic6—31no—
67#63836—31no—
68C9×#124—31no—
69#63508—31no—
70Q8×Dic9—31no—
71#63500—31no—
72D4×Dic9—31no—
73#63448—31no—
74#63448—31no—
75#63448—61no—
76#63447—31no—
77#63447—31no—
78#63441—31no—
79#63441D311yescharacteristic, complemented
80#63440—31no—
81#63440—31no—
82#63434—31no—
83#63431—31no—
84C23×C3×C9C2311yescharacteristic
85C22×C3⋊D9C2311yescharacteristic
86C22×D3×C9C2311yescharacteristic
87C2×C3×C4×C9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89#6233—41no—
90C2×C3⋊Dic9—41no—
91C2×C3⋊Dic9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94C9×#67—22no—
95C2×C9×Dic3C2311yescharacteristic
96C2×C9×Dic3C2311yescharacteristic
97C2×C9×Dic3C2311yescharacteristic
98C2×C3×Dic9C2311yescharacteristic
99C2×C3×Dic9C2311yescharacteristic
100C2×C3×Dic9C2311yescharacteristic
101C2×C3×Dic9C2311yescharacteristic
102C9×Dic6—22no—
103#6195—41no—
104D3×Dic9—41no—
105(C3⋊D9)⋊C4—22no—
106#6189—41no—
107#6189—41no—
108#5710—91no—
109#5682—91no—
110C2×#638—31no—
111C22×C3⋊Dic3—31no—
112C2×C3×#67C2×D311yescharacteristic
113C2×C3×Dic6C2×D311yescharacteristic
114C2×#627—31no—
115C2×#627—31no—
116C2×#626—31no—
117C2×#624—31no—
118C2×D3×Dic3—31no—
119C32×C22⋊C4C2×D311yescharacteristic
120#3752—31no—
121#3752—31no—
122C4⋊(C3⋊Dic3)—31no—
123C4⋊(C3⋊Dic3)—31no—
124C3×#217—31no—
125C3×#217—31no—
126C3×#217C2×D311yescharacteristic
127C3×(C2×D3)⋊C4C2×D311yescharacteristic
128C3×(C2×D3)⋊C4C2×D311yescharacteristic
129C3×C4⋊Dic3—31no—
130C3×Dic3⋊C4—31no—
131C3×Dic3⋊C4—31no—
132C3×C4×Dic3—31no—
133C3×C4×Dic3C2×D311yescharacteristic
134#3724—31no—
135Dic3⋊Dic3—31no—
136Dic3⋊Dic3—31no—
137Dic3⋊Dic3—31no—
138Dic3⋊Dic3—31no—
139#3722—31no—
140#3722—31no—
141(C2×D3)⋊Dic3—31no—
142(C2×D3)⋊Dic3—31no—
143Dic32—31no—
144Dic32—31no—
145C2×Q8×C9—31no—
146C2×D4×C9—31no—
147C2×#611—31no—
148C2×#611—31no—
149C2×#611—61no—
150C22×Dic9—31no—
151C22×Dic9—31no—
152C22×Dic9—61no—
153C2×C4×D9—31no—
154C2×Dic18—31no—
155C2×Dic18—31no—
156C9×C22⋊C4—21no—
157C9×C22⋊C4—31no—
158C9×C22⋊C4—31no—
159C9×C22⋊C4—31no—
160C9×C22⋊C4C2×D311yescharacteristic
161C42×C9—31no—
162#3676—31no—
163#3676—31no—
164#3676C2×D311yescharacteristic
165#3676C2×D311yescharacteristic
166(C2×D9)⋊C4—31no—
167(C2×D9)⋊C4—31no—
168(C2×D9)⋊C4—31no—
169(C2×D9)⋊C4—31no—
170(C2×D9)⋊C4—61no—
171(C2×D9)⋊C4—61no—
172C4⋊Dic9—31no—
173C4⋊Dic9—31no—
174C4⋊Dic9—31no—
175C4⋊Dic9—31no—
176C4⋊Dic9—31no—
177C4⋊Dic9—61no—
178C4⋊Dic9—61no—
179C4⋊Dic9C2×D311yescharacteristic
180Dic9⋊C4—31no—
181Dic9⋊C4—31no—
182Dic9⋊C4C2×D311yescharacteristic
183Dic9⋊C4C2×D311yescharacteristic
184C4×Dic9—31no—
185C4×Dic9—31no—
186C4×Dic9C2×D311yescharacteristic
187C22×C3×C9—21no—
188C22×C3×C9—21no—
189C22×C3×C9—21no—
190C22×C3×C9C2411yescharacteristic
191C2×C3⋊D9—21no—
192C2×C3⋊D9—21no—
193C2×C3⋊D9—21no—
194C2×D3×C9—21no—
195C2×D3×C9—21no—
196C2×D3×C9—21no—
197C3×C4×C9—21no—
198C3×C4×C9—21no—
199C3⋊Dic9—21no—
200C3⋊Dic9—21no—
201C3⋊Dic9—21no—
202C9×Dic3—21no—
203C9×Dic3—21no—
204C9×Dic3#4112yes—
205C3×Dic9—21no—
206C3×Dic9—21no—
207C3×Dic9—21no—
208C3×Dic9—21no—
209C3×#126—91no—
210C3×#124—31no—
211#946—91no—
212Q8×Dic3—91no—
213#938—91no—
214D4×Dic3—91no—
215#898—91no—
216#897—91no—
217#896—91no—
218#894—91no—
219#892—91no—
220#888—91no—
221#886—91no—
222#886—91no—
223#886—91no—
224#886—181no—
225#885—91no—
226#885—91no—
227#885—91no—
228#885D911yescharacteristic, complemented
229#884—91no—
230#67⋊C4—91no—
231#879—31no—
232#879—91no—
233#878—91no—
234#878—91no—
235#878—91no—
236#875—91no—
237#872—91no—
238#869—91no—
239C4×Dic6—91no—
240C23×C32C22×D311yescharacteristic
241C22×C3⋊D3—31no—
242C22×C3×D3C22×D311yescharacteristic
243C2×C32×C4C22×D311yescharacteristic
244C2×C32×C4C22×D311yescharacteristic
245#638—121no—
246C2×C3⋊Dic3—31no—
247C2×C3⋊Dic3—31no—
248C2×C3⋊Dic3—31no—
249C2×C3⋊Dic3—121no—
250C3×#67—22no—
251C2×C3×Dic3—31no—
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×Dic6—22no—
259#627—121no—
260#627—121no—
261#626—121no—
262#624—62no—
263D3×Dic3—121no—
264C23×C9—21no—
265C23×C9—31no—
266C23×C9C22×D311yescharacteristic
267C22×D9—31no—
268C22×D9—61no—
269Q8×C9—62no—
270D4×C9—62no—
271C2×C4×C9—21no—
272C2×C4×C9—21no—
273C2×C4×C9—31no—
274C2×C4×C9—31no—
275C2×C4×C9—31no—
276C2×C4×C9C22×D311yescharacteristic
277C2×C4×C9C22×D311yescharacteristic
278#611—121no—
279#611—121no—
280#611—122no—
281C2×Dic9—31no—
282C2×Dic9—31no—
283C2×Dic9—31no—
284C2×Dic9—61no—
285C2×Dic9—61no—
286C2×Dic9—61no—
287C2×Dic9—121no—
288C2×Dic9—121no—
289C2×Dic9—122no—
290C2×Dic9C22×D311yescharacteristic
291C2×Dic9C22×D311yescharacteristic
292C2×Dic9C22×D311yescharacteristic
293C2×Dic9C22×D311yescharacteristic
294C4×D9—62no—
295Dic18—121no—
296Dic18—121no—
297#542—271noSylow
298C2×C3×C9—41no—
299C2×C3×C9C2×#4111yescharacteristic
300C2×C3×C9H(5,𝔽2)11yescharacteristic
301C2×C3×C92−1+411yescharacteristic
302C3⋊D9—41no—
303D3×C9—41no—
304C2×C3×Q8—31no—
305C2×C3×D4—31no—
306C2×#67—91no—
307C2×#67—91no—
308C2×#67—91no—
309C2×#67—181no—
310C2×#67C2×D911yescharacteristic
311C22×Dic3—91no—
312C22×Dic3—91no—
313C22×Dic3—91no—
314C22×Dic3—181no—
315C2×D12—91no—
316C2×C4×D3—91no—
317C2×C4×D3—91no—
318C2×C4×D3—91no—
319C2×Dic6—91no—
320C2×Dic6—91no—
321C2×Dic6—91no—
322C2×Dic6—91no—
323C2×Dic6C2×D911yescharacteristic
324C3×C4⋊C4—91no—
325C3×C4⋊C4—91no—
326C3×C4⋊C4—91no—
327C3×C22⋊C4—21no—
328C3×C22⋊C4—31no—
329C3×C22⋊C4—31no—
330C3×C22⋊C4—31no—
331C3×C22⋊C4—91no—
332C3×C22⋊C4—91no—
333C3×C22⋊C4C2×D911yescharacteristic
334C3×C22⋊C4D3211yescharacteristic
335C3×C42—31no—
336C3×C42—91no—
337#217—31no—
338#217—31no—
339#217—91no—
340#217—91no—
341#217C2×D911yescharacteristic
342(C2×D3)⋊C4—91no—
343(C2×D3)⋊C4—91no—
344(C2×D3)⋊C4—91no—
345(C2×D3)⋊C4—91no—
346(C2×D3)⋊C4—91no—
347(C2×D3)⋊C4—91no—
348(C2×D3)⋊C4—91no—
349(C2×D3)⋊C4—91no—
350(C2×D3)⋊C4—91no—
351(C2×D3)⋊C4—91no—
352(C2×D3)⋊C4—181no—
353(C2×D3)⋊C4—181no—
354(C2×D3)⋊C4C2×D911yescharacteristic
355(C2×D3)⋊C4C2×D911yescharacteristic
356C4⋊Dic3—31no—
357C4⋊Dic3—91no—
358C4⋊Dic3—91no—
359C4⋊Dic3—91no—
360C4⋊Dic3—91no—
361C4⋊Dic3—91no—
362C4⋊Dic3—91no—
363C4⋊Dic3—91no—
364C4⋊Dic3—91no—
365C4⋊Dic3—181no—
366C4⋊Dic3—181no—
367Dic3⋊C4—31no—
368Dic3⋊C4—31no—
369Dic3⋊C4—91no—
370Dic3⋊C4—91no—
371Dic3⋊C4—91no—
372Dic3⋊C4—91no—
373Dic3⋊C4—91no—
374Dic3⋊C4—91no—
375C4×Dic3—31no—
376C4×Dic3—91no—
377C4×Dic3—91no—
378C4×Dic3—91no—
379C4×Dic3—91no—
380C4×Dic3C2×D911yescharacteristic
381C22×C32—21no—
382C22×C32—21no—
383C22×C32—21no—
384C22×C32C23×D311yescharacteristic
385C2×C3⋊D3—61no—
386C2×C3⋊D3—61no—
387C2×C3⋊D3—61no—
388C2×C3×D3—21no—
389C2×C3×D3—21no—
390C2×C3×D3—21no—
391C32×C4—21no—
392C32×C4—21no—
393C3⋊Dic3—61no—
394C3⋊Dic3—61no—
395C3⋊Dic3—61no—
396C3×Dic3—21no—
397C3×Dic3—21no—
398C3×Dic3—61no—
399C3×Dic3—61no—
400C3×Dic3—61no—
401C3×Dic3—61no—
402C3×Dic3#23712yes—
403C22×C9—22no—
404C22×C9—21no—
405C22×C9—21no—
406C22×C9—21no—
407C22×C9—21no—
408C22×C9—41no—
409C22×C9—41no—
410C22×C9—61no—
411C22×C9—61no—
412C22×C9—61no—
413C22×C9C23×D311yescharacteristic
414C2×D9—61no—
415C2×D9—61no—
416C2×D9—61no—
417C2×D9—121no—
418C2×D9—121no—
419C2×D9—121no—
420C4×C9—21no—
421C4×C9—21no—
422C4×C9—32no—
423C4×C9—41no—
424C4×C9—41no—
425C4×C9—61no—
426C4×C9—61no—
427Dic9—21no—
428Dic9—21no—
429Dic9—21no—
430Dic9—21no—
431Dic9—61no—
432Dic9—61no—
433Dic9—61no—
434Dic9—121no—
435Dic9—121no—
436Dic9—121no—
437C4⋊Q8—271no—
438#126—91no—
439#126—271no—
440#124—31no—
441#124—271no—
442#124—271no—
443#123—271no—
444#123—271no—
445C22⋊Q8—271no—
446C22⋊Q8—271no—
447C22⋊Q8—271no—
448#121—271no—
449C4×Q8—271no—
450C4×D4—271no—
451#117—271no—
452C3×C9#54211yescharacteristic, complemented, Sylow
453C23×C3—21no—
454C23×C3—31no—
455C23×C3C22×D911yescharacteristic
456C23×C3C2×D3211yescharacteristic
457C22×D3—91no—
458C22×D3—91no—
459C22×D3—181no—
460C22×D3C22×D911yescharacteristic
461C3×Q8—62no—
462C3×D4—62no—
463C2×C3×C4—21no—
464C2×C3×C4—21no—
465C2×C3×C4—31no—
466C2×C3×C4—31no—
467C2×C3×C4—31no—
468C2×C3×C4—91no—
469C2×C3×C4—91no—
470C2×C3×C4—91no—
471C2×C3×C4—91no—
472C2×C3×C4C22×D911yescharacteristic
473C2×C3×C4C22×D911yescharacteristic
474C2×C3×C4C2×D3211yescharacteristic
475C2×C3×C4C2×D3211yescharacteristic
476#67—22no—
477#67—361no—
478#67—361no—
479#67—361no—
480#67—362no—
481C2×Dic3—31no—
482C2×Dic3—31no—
483C2×Dic3—31no—
484C2×Dic3—31no—
485C2×Dic3—91no—
486C2×Dic3—91no—
487C2×Dic3—91no—
488C2×Dic3—91no—
489C2×Dic3—91no—
490C2×Dic3—91no—
491C2×Dic3—181no—
492C2×Dic3—181no—
493C2×Dic3—181no—
494C2×Dic3—361no—
495C2×Dic3—361no—
496C2×Dic3—361no—
497C2×Dic3—362no—
498C2×Dic3C22×D911yescharacteristic
499C2×Dic3C22×D911yescharacteristic
500C2×Dic3C22×D911yescharacteristic
501D12—361no—
502C4×D3—182no—
503C4×D3—182no—
504C4×D3—361no—
505Dic6—22no—
506Dic6—361no—
507Dic6—361no—
508Dic6—361no—
509Dic6—361no—
510C2×C32—41no—
511C2×C32C2×#23711yescharacteristic
512C2×C32#100911yescharacteristic
513C2×C32#101011yescharacteristic
514C3⋊D3—121no—
515C3×D3—41no—
516C2×C9—21no—
517C2×C9—21no—
518C2×C9—21no—
519C2×C9—42no—
520C2×C9—41no—
521C2×C9—121no—
522C2×C9D3×#4111yescharacteristic
523C2×C9#100911yescharacteristic
524C2×C9#101011yescharacteristic
525D9—121no—
526D9—241no—
527C2×Q8—31no—
528C2×Q8—271no—
529C2×Q8—271no—
530C2×D4—31no—
531C2×D4—271no—
532C2×D4—271no—
533C22×C4—271no—
534C22×C4—271no—
535C22×C4—271no—
536C4⋊C4—91no—
537C4⋊C4—91no—
538C4⋊C4—91no—
539C4⋊C4—271no—
540C4⋊C4—271no—
541C4⋊C4—271no—
542C4⋊C4—271no—
543C4⋊C4—271no—
544C4⋊C4—271no—
545C4⋊C4—271no—
546C22⋊C4—31no—
547C22⋊C4—31no—
548C22⋊C4—31no—
549C22⋊C4—91no—
550C22⋊C4—91no—
551C22⋊C4—271no—
552C22⋊C4—271no—
553C22⋊C4—271no—
554C22⋊C4—271no—
555C22⋊C4—271no—
556C22⋊C4—271no—
557C22⋊C4D3×D911yescharacteristic
558C42—31no—
559C42—91no—
560C42—271no—
561C42—271no—
562C22×C3—22no—
563C22×C3—21no—
564C22×C3—21no—
565C22×C3—21no—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—21no—
569C22×C3—21no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3—61no—
573C22×C3—61no—
574C22×C3—61no—
575C22×C3C23×D911yescharacteristic
576C22×C3C22×D3211yescharacteristic
577C2×D3—21no—
578C2×D3—21no—
579C2×D3—21no—
580C2×D3—181no—
581C2×D3—181no—
582C2×D3—181no—
583C2×D3—181no—
584C2×D3—181no—
585C2×D3—181no—
586C2×D3—361no—
587C2×D3—361no—
588C2×D3—361no—
589C3×C4—21no—
590C3×C4—21no—
591C3×C4—21no—
592C3×C4—21no—
593C3×C4—32no—
594C3×C4—41no—
595C3×C4—41no—
596C3×C4—61no—
597C3×C4—61no—
598C3×C4—181no—
599C3×C4—181no—
600C3×C4—181no—
601C3×C4—181no—
602Dic3—21no—
603Dic3—21no—
604Dic3—61no—
605Dic3—61no—
606Dic3—61no—
607Dic3—61no—
608Dic3—181no—
609Dic3—181no—
610Dic3—181no—
611Dic3—181no—
612Dic3—181no—
613Dic3—181no—
614Dic3—361no—
615Dic3—361no—
616Dic3—361no—
617Dic3#369912yes—
618C32#568211yescharacteristic
619C9—21no—
620C9#571011yescharacteristic, complemented
621C23—31no—
622C23—271no—
623C23C2×D3×D911yescharacteristic
624Q8—62no—
625Q8—1081no—
626Q8—1081no—
627D4—62no—
628D4—1081no—
629D4—1081no—
630C2×C4—31no—
631C2×C4—31no—
632C2×C4—31no—
633C2×C4—91no—
634C2×C4—91no—
635C2×C4—91no—
636C2×C4—91no—
637C2×C4—271no—
638C2×C4—271no—
639C2×C4—271no—
640C2×C4—542no—
641C2×C4—1081no—
642C2×C4—1081no—
643C2×C4C2×D3×D911yescharacteristic
644C2×C4C2×D3×D911yescharacteristic
645C2×C3—21no—
646C2×C3—21no—
647C2×C3—21no—
648C2×C3—42no—
649C2×C3—41no—
650C2×C3—41no—
651C2×C3—121no—
652C2×C3C2×#369911yescharacteristic
653C2×C3#6371511yescharacteristic
654C2×C3#6371611yescharacteristic
655C2×C3#6430811yescharacteristic
656C2×C3#6430911yescharacteristic
657C2×C3D3×#23711yescharacteristic
658D3—41no—
659D3—361no—
660D3—361no—
661D3—721no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—61no—
666C22—61no—
667C22—61no—
668C22—541no—
669C22—541no—
670C22—541no—
671C22C22×D3×D911yescharacteristic
672C4—21no—
673C4—21no—
674C4—32no—
675C4—61no—
676C4—61no—
677C4—181no—
678C4—181no—
679C4—181no—
680C4—181no—
681C4—541no—
682C4—541no—
683C4—541no—
684C3—21no—
685C3#1058978411yescharacteristic, complemented
686C3#1059413811yescharacteristic
687C2—41no—
688C2—121no—
689C2—1081no—
690C2#1172247811yescharacteristic
691C2#1172249411yescharacteristic
692C2D3×#369911yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C22⋊C4C22
socleC22×C32C23×D3
prime radical#11721262C2
hypercenterC22⋊C4D3×D9
hypocenterC3×C9#542
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. #11721732C2semidirect
2. C9×#885C2semidirect
3. C3×#63441C2semidirect
4. #67⋊Dic9C2semidirect
5. #11721267C2semidirect
7. #11721242C2semidirect
8. #11721023C2semidirect
9. #11721020C2semidirect
10. #11720986C2semidirect
11. #11720970C2semidirect
12. #11720965C2semidirect
13. #11720956C2semidirect
14. Dic6×Dic9C2semidirect
15. #11720898C2semidirect
79. #63441D3semidirect
228. #885D9semidirect
452. C3×C9#542semidirect
620. C9#5710semidirect
685. C3#10589784semidirect

Maximal subgroups

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

subgroupindex
#117217322
C9×#8852
C3×#634412
#67⋊Dic92
#117212672
#117212622
#117212422
#117210232
#117210202
#117209862
#117209702
#117209652
#117209562
Dic6×Dic92
#117208982
#105941383
#105897843