Finite Group Databasebeta

← #13148907

Subgroups — #13148907

Order 1728.

710 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721746C211yesmaximal, characteristic, complemented
2C9×#894C211yesmaximal, characteristic, complemented
3C3×#63458C211yesmaximal, characteristic, complemented
4#11721036C211yesmaximal, characteristic
5#11721028C211yesmaximal, characteristic, complemented
6#11721018C211yesmaximal, characteristic, complemented
7#11721015C211yesmaximal, characteristic, complemented
8#11720989C211yesmaximal, characteristic, complemented
9#11720989C211yesmaximal, characteristic, complemented
10#11720976C211yesmaximal, characteristic, complemented
11D9×Dic3⋊C4C211yesmaximal, characteristic, complemented
12#11720966C211yesmaximal, characteristic, complemented
13#11720965C211yesmaximal, characteristic, complemented
14#11720960C211yesmaximal, characteristic, complemented
15#11720915C211yesmaximal, characteristic, complemented
16#10594455—31nomaximal
17#10589762—31nomaximal
18C2×C9×D12C2211yescharacteristic
19C2×C4×D3×C9C2211yescharacteristic
20C2×C3×C4×D9C2211yescharacteristic
21C2×C3×Dic18C2211yescharacteristic
22C2×#6194C2211yescharacteristic
23C2×#6194C2211yescharacteristic
24C2×D3×Dic9C2211yescharacteristic
25C2×Dic3×D9C2211yescharacteristic
26C2×Dic3×D9C2211yescharacteristic
27C3×C9×C4⋊C4C2211yescharacteristic
28C4⋊(C3⋊Dic9)C2211yescharacteristic
29C4⋊(C3⋊Dic9)C2211yescharacteristic
30C4⋊(C3⋊Dic9)C2211yescharacteristic
31#88534C2211yescharacteristic
32#88534C2211yescharacteristic
33C4×C3⋊Dic9C2211yescharacteristic
34C9×(C2×D3)⋊C4C2211yescharacteristic
35C9×(C2×D3)⋊C4C2211yescharacteristic
36C9×(C2×D3)⋊C4C2211yescharacteristic
37C3×(C2×D9)⋊C4C2211yescharacteristic
38C3×(C2×D9)⋊C4C2211yescharacteristic
39C9×Dic3⋊C4C2211yescharacteristic
40C3×Dic9⋊C4C2211yescharacteristic
41C3×Dic9⋊C4C2211yescharacteristic
42(C2×D3)⋊Dic9C2211yescharacteristic
43(C2×D3)⋊Dic9C2211yescharacteristic
44(C2×D3)⋊Dic9C2211yescharacteristic
45(C2×D3)⋊Dic9C2211yescharacteristic
46(C2×D3)⋊Dic9C2211yescharacteristic
47Dic3⋊Dic9C2211yescharacteristic
48#88442C2211yescharacteristic
49#88442C2211yescharacteristic
50Dic9⋊Dic3C2211yescharacteristic
51Dic9⋊Dic3C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53#64099—31no—
54C3×#896—31no—
55C3×#894D311yescharacteristic
56#63908—31no—
57#63902—31no—
58#63891—31no—
59#63891—31no—
60#63887—31no—
61#63884—31no—
62#63879—31no—
63D3×Dic3⋊C4—31no—
64#63862—31no—
65#63861—31no—
66#63856—31no—
67#63845—31no—
68C9×#123—31no—
69#63500—31no—
70#63497—31no—
71C4×#611—31no—
72#63486—31no—
73#63458D311yescharacteristic, complemented
74C4⋊C4×D9—31no—
75#63452—31no—
76#63452—61no—
77#63451—31no—
78#63445—31no—
79#63445—31no—
80#611⋊C4—31no—
81#63441—31no—
82#63441—31no—
83#63440—31no—
84C22×D3×C9C2311yescharacteristic
85C22×D3×C9C2311yescharacteristic
86C22×C3×D9C2311yescharacteristic
87C2×C3×C4×C9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3×C4×C9C2311yescharacteristic
90C2×C3⋊Dic9C2311yescharacteristic
91C2×C3⋊Dic9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94C2×C9×Dic3C2311yescharacteristic
95C2×C9×Dic3C2311yescharacteristic
96C2×C3×Dic9C2311yescharacteristic
97C2×C3×Dic9C2311yescharacteristic
98C2×C3×Dic9C2311yescharacteristic
99C9×D12—41no—
100C4×D3×C9—41no—
101C3×C4×D9—41no—
102C3×Dic18—41no—
103#6194—22no—
104#6194—22no—
105D3×Dic9—41no—
106Dic3×D9—22no—
107Dic3×D9—41no—
108#5660—91no—
109#5645—91no—
110C2×C3×D12C2×D311yescharacteristic
111C2×C3×C4×D3—31no—
112C2×C3×C4×D3C2×D311yescharacteristic
113C2×C3×Dic6—31no—
114C2×#625—31no—
115C2×#625—31no—
116C2×D3×Dic3—31no—
117C2×D3×Dic3—31no—
118C2×D3×Dic3—31no—
119C32×C4⋊C4C2×D311yescharacteristic
120C4⋊(C3⋊Dic3)—31no—
121C4⋊(C3⋊Dic3)—31no—
122C4⋊(C3⋊Dic3)—31no—
123#3750—31no—
124#3750—31no—
125C4×C3⋊Dic3—31no—
126C3×(C2×D3)⋊C4—31no—
127C3×(C2×D3)⋊C4—31no—
128C3×(C2×D3)⋊C4C2×D311yescharacteristic
129C3×(C2×D3)⋊C4C2×D311yescharacteristic
130C3×(C2×D3)⋊C4C2×D311yescharacteristic
131C3×Dic3⋊C4—31no—
132C3×Dic3⋊C4—31no—
133C3×Dic3⋊C4C2×D311yescharacteristic
134#3724—31no—
135#3724—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—
142(C2×D3)⋊Dic3—31no—
143(C2×D3)⋊Dic3—31no—
144Dic32—31no—
145C2×D4×C9—31no—
146C22×C4×C9—31no—
147C2×#611—31no—
148C2×#611—31no—
149C22×Dic9—31no—
150C2×C4×D9—31no—
151C2×C4×D9—31no—
152C2×C4×D9C2×D311yescharacteristic
153C2×Dic18C2×D311yescharacteristic
154C9×C4⋊C4—21no—
155C9×C4⋊C4—31no—
156C9×C4⋊C4C2×D311yescharacteristic
157C9×C22⋊C4—31no—
158C9×C22⋊C4—31no—
159C9×C22⋊C4—31no—
160#3676—31no—
161#3676—31no—
162#3676—31no—
163#3676—31no—
164#3676—31no—
165(C2×D9)⋊C4C2×D311yescharacteristic
166(C2×D9)⋊C4C2×D311yescharacteristic
167C4⋊Dic9—31no—
168C4⋊Dic9—31no—
169C4⋊Dic9—31no—
170C4⋊Dic9—31no—
171C4⋊Dic9—61no—
172C4⋊Dic9—61no—
173C4⋊Dic9—61no—
174Dic9⋊C4—31no—
175Dic9⋊C4—31no—
176Dic9⋊C4—31no—
177Dic9⋊C4—31no—
178Dic9⋊C4—31no—
179Dic9⋊C4—31no—
180Dic9⋊C4—61no—
181Dic9⋊C4—61no—
182Dic9⋊C4C2×D311yescharacteristic
183Dic9⋊C4C2×D311yescharacteristic
184C4×Dic9—31no—
185C4×Dic9—31no—
186C4×Dic9—61no—
187C22×C3×C9C2411yescharacteristic
188C2×D3×C9—21no—
189C2×D3×C9—21no—
190C2×D3×C9—21no—
191C2×D3×C9—21no—
192C2×D3×C9—21no—
193C2×D3×C9—21no—
194C2×C3×D9—21no—
195C2×C3×D9—21no—
196C2×C3×D9#4112yes—
197C3×C4×C9—21no—
198C3×C4×C9—21no—
199C3×C4×C9—21no—
200C3⋊Dic9—21no—
201C3⋊Dic9—21no—
202C3⋊Dic9—21no—
203C3⋊Dic9—21no—
204C9×Dic3—21no—
205C9×Dic3—21no—
206C3×Dic9—21no—
207C3×Dic9—21no—
208C3×Dic9—21no—
209C3×#123—31no—
210C3×C22⋊Q8—91no—
211#946—91no—
212#946—91no—
213#938—91no—
214#935—91no—
215#930—91no—
216C4×#67—91no—
217#924—91no—
218C2×Dic3⋊C4—91no—
219#898—91no—
220#898—91no—
221#896—31no—
222#894—91no—
223#894D911yescharacteristic, complemented
224D3×C4⋊C4—91no—
225#890—91no—
226#890—91no—
227#890—91no—
228#890—181no—
229#889—91no—
230#886—91no—
231#886—91no—
232#883—91no—
233#883—91no—
234#67⋊C4—91no—
235#67⋊C4—91no—
236#67⋊C4—91no—
237#879—91no—
238#879—91no—
239#878—91no—
240C22×C3×D3—31no—
241C22×C3×D3C22×D311yescharacteristic
242C22×C3×D3C22×D311yescharacteristic
243C2×C32×C4C22×D311yescharacteristic
244C2×C32×C4C22×D311yescharacteristic
245C2×C32×C4C22×D311yescharacteristic
246C2×C3⋊Dic3—31no—
247C2×C3⋊Dic3—31no—
248C2×C3⋊Dic3—31no—
249C2×C3⋊Dic3—31no—
250C2×C3×Dic3—31no—
251C2×C3×Dic3—31no—
252C2×C3×Dic3—31no—
253C2×C3×Dic3C22×D311yescharacteristic
254C2×C3×Dic3C22×D311yescharacteristic
255C3×D12—41no—
256C3×C4×D3—41no—
257C3×C4×D3—121no—
258C3×Dic6—121no—
259#625—62no—
260#625—62no—
261D3×Dic3—62no—
262D3×Dic3—121no—
263D3×Dic3—121no—
264C23×C9—31no—
265C23×C9—31no—
266C22×D9C22×D311yescharacteristic
267D4×C9—121no—
268C2×C4×C9—21no—
269C2×C4×C9—21no—
270C2×C4×C9—21no—
271C2×C4×C9—31no—
272C2×C4×C9—31no—
273C2×C4×C9—121no—
274C2×C4×C9C22×D311yescharacteristic
275C2×C4×C9C22×D311yescharacteristic
276C2×C4×C9C22×D311yescharacteristic
277#611—62no—
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—121no—
288C2×Dic9C22×D311yescharacteristic
289C2×Dic9C22×D311yescharacteristic
290C2×Dic9C22×D311yescharacteristic
291C4×D9—41no—
292C4×D9—62no—
293C4×D9—121no—
294Dic18—41no—
295#539—271noSylow
296C2×C3×C9C2×#4111yescharacteristic
297C2×C3×C9H(5,𝔽2)11yescharacteristic
298C2×C3×C92−1+411yescharacteristic
299D3×C9—41no—
300D3×C9—41no—
301C3×D9—22no—
302C2×C3×Q8—91no—
303C2×C3×D4—31no—
304C22×C3×C4—31no—
305C22×C3×C4—91no—
306C2×#67—91no—
307C2×#67—91no—
308C2×#67—91no—
309C2×#67—91no—
310C22×Dic3—91no—
311C22×Dic3—91no—
312C22×Dic3—91no—
313C2×D12C2×D911yescharacteristic
314C2×C4×D3—31no—
315C2×C4×D3—91no—
316C2×C4×D3—91no—
317C2×C4×D3—91no—
318C2×C4×D3C2×D911yescharacteristic
319C2×Dic6—31no—
320C3×C4⋊C4—21no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—91no—
323C3×C4⋊C4—91no—
324C3×C4⋊C4C2×D911yescharacteristic
325C3×C4⋊C4D3211yescharacteristic
326C3×C22⋊C4—31no—
327C3×C22⋊C4—31no—
328C3×C22⋊C4—31no—
329C3×C22⋊C4—91no—
330C3×C22⋊C4—91no—
331#217—91no—
332#217—91no—
333#217—91no—
334#217—91no—
335#217—91no—
336(C2×D3)⋊C4—31no—
337(C2×D3)⋊C4—31no—
338(C2×D3)⋊C4—91no—
339(C2×D3)⋊C4—91no—
340(C2×D3)⋊C4—91no—
341(C2×D3)⋊C4—91no—
342(C2×D3)⋊C4—91no—
343(C2×D3)⋊C4C2×D911yescharacteristic
344(C2×D3)⋊C4C2×D911yescharacteristic
345(C2×D3)⋊C4C2×D911yescharacteristic
346C4⋊Dic3—91no—
347C4⋊Dic3—91no—
348C4⋊Dic3—91no—
349C4⋊Dic3—91no—
350C4⋊Dic3—91no—
351C4⋊Dic3—91no—
352C4⋊Dic3—91no—
353C4⋊Dic3—91no—
354C4⋊Dic3—91no—
355C4⋊Dic3—181no—
356C4⋊Dic3—181no—
357C4⋊Dic3—181no—
358Dic3⋊C4—31no—
359Dic3⋊C4—31no—
360Dic3⋊C4—91no—
361Dic3⋊C4—91no—
362Dic3⋊C4—91no—
363Dic3⋊C4—91no—
364Dic3⋊C4—91no—
365Dic3⋊C4—91no—
366Dic3⋊C4—91no—
367Dic3⋊C4—91no—
368Dic3⋊C4—91no—
369Dic3⋊C4—91no—
370Dic3⋊C4—91no—
371Dic3⋊C4—181no—
372Dic3⋊C4—181no—
373Dic3⋊C4C2×D911yescharacteristic
374C4×Dic3—91no—
375C4×Dic3—91no—
376C4×Dic3—91no—
377C4×Dic3—91no—
378C4×Dic3—181no—
379C22×C32C23×D311yescharacteristic
380C2×C3×D3—21no—
381C2×C3×D3—21no—
382C2×C3×D3—21no—
383C2×C3×D3—21no—
384C2×C3×D3—21no—
385C2×C3×D3—21no—
386C2×C3×D3—32no—
387C2×C3×D3—61no—
388C2×C3×D3—61no—
389C32×C4—21no—
390C32×C4—21no—
391C32×C4—21no—
392C3⋊Dic3—61no—
393C3⋊Dic3—61no—
394C3⋊Dic3—61no—
395C3⋊Dic3—61no—
396C3×Dic3—21no—
397C3×Dic3—21no—
398C3×Dic3—61no—
399C3×Dic3—61no—
400C3×Dic3—61no—
401C22×C9—21no—
402C22×C9—61no—
403C22×C9—61no—
404C22×C9—61no—
405C22×C9—61no—
406C22×C9—61no—
407C22×C9—61no—
408C22×C9C23×D311yescharacteristic
409C2×D9—21no—
410C2×D9—21no—
411C2×D9#23912yes—
412C4×C9—22no—
413C4×C9—21no—
414C4×C9—21no—
415C4×C9—21no—
416C4×C9—41no—
417C4×C9—41no—
418C4×C9—61no—
419C4×C9—61no—
420Dic9—21no—
421Dic9—21no—
422Dic9—21no—
423Dic9—61no—
424Dic9—61no—
425Dic9—61no—
426Dic9—61no—
427Dic9—121no—
428Dic9—121no—
429Dic9—121no—
430Dic9—121no—
431#126—271no—
432#126—271no—
433#125—271no—
434#125—271no—
435#123—31no—
436#123—271no—
437#123—271no—
438#123—271no—
439C22⋊Q8—91no—
440C22⋊Q8—271no—
441C22⋊Q8—271no—
442#121—271no—
443C4×D4—271no—
444C4×D4—271no—
445C2×C4⋊C4—271no—
446C3×C9#53911yescharacteristic, complemented, Sylow
447C23×C3—31no—
448C23×C3—31no—
449C23×C3—91no—
450C22×D3—31no—
451C22×D3C22×D911yescharacteristic
452C22×D3C22×D911yescharacteristic
453C3×Q8—361no—
454C3×D4—121no—
455C2×C3×C4—21no—
456C2×C3×C4—21no—
457C2×C3×C4—21no—
458C2×C3×C4—31no—
459C2×C3×C4—31no—
460C2×C3×C4—91no—
461C2×C3×C4—91no—
462C2×C3×C4—91no—
463C2×C3×C4—121no—
464C2×C3×C4—361no—
465C2×C3×C4C22×D911yescharacteristic
466C2×C3×C4C22×D911yescharacteristic
467C2×C3×C4C22×D911yescharacteristic
468C2×C3×C4C2×D3211yescharacteristic
469C2×C3×C4C2×D3211yescharacteristic
470C2×C3×C4C2×D3211yescharacteristic
471#67—182no—
472#67—182no—
473#67—182no—
474#67—182no—
475C2×Dic3—31no—
476C2×Dic3—31no—
477C2×Dic3—31no—
478C2×Dic3—91no—
479C2×Dic3—91no—
480C2×Dic3—91no—
481C2×Dic3—91no—
482C2×Dic3—91no—
483C2×Dic3—91no—
484C2×Dic3—91no—
485C2×Dic3—91no—
486C2×Dic3—181no—
487C2×Dic3—181no—
488C2×Dic3—181no—
489C2×Dic3—181no—
490C2×Dic3—182no—
491C2×Dic3—361no—
492C2×Dic3—361no—
493C2×Dic3C22×D911yescharacteristic
494C2×Dic3C22×D911yescharacteristic
495D12—41no—
496C4×D3—41no—
497C4×D3—121no—
498C4×D3—182no—
499C4×D3—361no—
500C4×D3—361no—
501Dic6—121no—
502C2×C32#100411yescharacteristic
503C2×C32D3×#4111yescharacteristic
504C2×C32#101011yescharacteristic
505C3×D3—41no—
506C3×D3—41no—
507C3×D3—62no—
508C2×C9—21no—
509C2×C9—21no—
510C2×C9—21no—
511C2×C9—121no—
512C2×C9—121no—
513C2×C9#100411yescharacteristic
514C2×C9C2×#23911yescharacteristic
515C2×C9#101011yescharacteristic
516D9—22no—
517C2×Q8—91no—
518C2×D4—31no—
519C2×D4—271no—
520C2×D4—271no—
521C22×C4—31no—
522C22×C4—91no—
523C22×C4—271no—
524C22×C4—271no—
525C22×C4—271no—
526C4⋊C4—31no—
527C4⋊C4—91no—
528C4⋊C4—91no—
529C4⋊C4—271no—
530C4⋊C4—271no—
531C4⋊C4—271no—
532C4⋊C4—271no—
533C4⋊C4—271no—
534C4⋊C4—271no—
535C4⋊C4—271no—
536C4⋊C4—271no—
537C4⋊C4—271no—
538C4⋊C4—271no—
539C4⋊C4D3×D911yescharacteristic
540C22⋊C4—31no—
541C22⋊C4—31no—
542C22⋊C4—31no—
543C22⋊C4—91no—
544C22⋊C4—91no—
545C22⋊C4—271no—
546C22⋊C4—271no—
547C22⋊C4—271no—
548C22⋊C4—271no—
549C22⋊C4—271no—
550C42—271no—
551C42—271no—
552C22×C3—21no—
553C22×C3—61no—
554C22×C3—61no—
555C22×C3—61no—
556C22×C3—61no—
557C22×C3—61no—
558C22×C3—61no—
559C22×C3—92no—
560C22×C3—181no—
561C22×C3—181no—
562C22×C3C23×D911yescharacteristic
563C22×C3C22×D3211yescharacteristic
564C2×D3—21no—
565C2×D3—21no—
566C2×D3—21no—
567C2×D3—21no—
568C2×D3—21no—
569C2×D3—21no—
570C2×D3—32no—
571C2×D3—61no—
572C2×D3—61no—
573C3×C4—22no—
574C3×C4—21no—
575C3×C4—21no—
576C3×C4—21no—
577C3×C4—21no—
578C3×C4—21no—
579C3×C4—21no—
580C3×C4—41no—
581C3×C4—41no—
582C3×C4—61no—
583C3×C4—61no—
584C3×C4—181no—
585C3×C4—181no—
586C3×C4—181no—
587Dic3—21no—
588Dic3—21no—
589Dic3—61no—
590Dic3—61no—
591Dic3—61no—
592Dic3—181no—
593Dic3—181no—
594Dic3—181no—
595Dic3—181no—
596Dic3—181no—
597Dic3—181no—
598Dic3—181no—
599Dic3—181no—
600Dic3—361no—
601Dic3—361no—
602Dic3—361no—
603Dic3—361no—
604C32#566011yescharacteristic
605C9—21no—
606C9#564511yescharacteristic, complemented
607C23—31no—
608C23—31no—
609C23—91no—
610Q8—361no—
611D4—121no—
612D4—542no—
613D4—542no—
614C2×C4—31no—
615C2×C4—31no—
616C2×C4—91no—
617C2×C4—91no—
618C2×C4—91no—
619C2×C4—121no—
620C2×C4—271no—
621C2×C4—271no—
622C2×C4—271no—
623C2×C4—271no—
624C2×C4—361no—
625C2×C4—542no—
626C2×C4—1081no—
627C2×C4—1081no—
628C2×C4C2×D3×D911yescharacteristic
629C2×C4C2×D3×D911yescharacteristic
630C2×C4C2×D3×D911yescharacteristic
631C2×C3—21no—
632C2×C3—21no—
633C2×C3—21no—
634C2×C3—121no—
635C2×C3—121no—
636C2×C3—182no—
637C2×C3#6371011yescharacteristic
638C2×C3#41×D911yescharacteristic
639C2×C3#6371611yescharacteristic
640C2×C3#6429811yescharacteristic
641C2×C3#6431311yescharacteristic
642C2×C3D3×#23911yescharacteristic
643D3—41no—
644D3—41no—
645D3—62no—
646C22—61no—
647C22—61no—
648C22—61no—
649C22—61no—
650C22—61no—
651C22—61no—
652C22—92no—
653C22—181no—
654C22—181no—
655C22C22×D3×D911yescharacteristic
656C4—21no—
657C4—21no—
658C4—21no—
659C4—61no—
660C4—61no—
661C4—181no—
662C4—181no—
663C4—181no—
664C4—541no—
665C4—541no—
666C4—541no—
667C4—541no—
668C3—21no—
669C3#1058976211yescharacteristic, complemented
670C3#1059445511yescharacteristic
671C2—121no—
672C2—121no—
673C2—182no—
674C2#1172246511yescharacteristic
675C2#1172249911yescharacteristic
676C2D9×#23911yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C4⋊C4C22
socleC22×C32C23×D3
prime radical#11721036C2
hypercenterC4⋊C4D3×D9
hypocenterC3×C9#539
LCSG ▷ C22×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C4⋊C4

Complements

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

NH ≅ G/Ntype
1. #11721746C2semidirect
2. C9×#894C2semidirect
3. C3×#63458C2semidirect
5. #11721028C2semidirect
6. #11721018C2semidirect
7. #11721015C2semidirect
8. #11720989C2semidirect
9. #11720989C2semidirect
10. #11720976C2semidirect
11. D9×Dic3⋊C4C2semidirect
12. #11720966C2semidirect
13. #11720965C2semidirect
14. #11720960C2semidirect
15. #11720915C2semidirect
73. #63458D3semidirect
223. #894D9semidirect
446. C3×C9#539semidirect
606. C9#5645semidirect
669. C3#10589762semidirect

Maximal subgroups

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

subgroupindex
#117217462
C9×#8942
C3×#634582
#117210362
#117210282
#117210182
#117210152
#117209892
#117209762
D9×Dic3⋊C42
#117209662
#117209652
#117209602
#117209152
#105944553
#105897623