Finite Group Databasebeta

← #13148945

Subgroups — #13148945

Order 1728.

748 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721751C211yesmaximal, characteristic
2C9×#889C211yesmaximal, characteristic, complemented
3C3×#63451C211yesmaximal, characteristic, complemented
4#11720997C211yesmaximal, characteristic, complemented
5#11720997C211yesmaximal, characteristic, complemented
6#11720997C211yesmaximal, characteristic, complemented
7#11720997C211yesmaximal, characteristic, complemented
8#11720995C211yesmaximal, characteristic, complemented
9#11720994C211yesmaximal, characteristic, complemented
10#11720993C211yesmaximal, characteristic, complemented
11#11720992C211yesmaximal, characteristic, complemented
12#11720980C211yesmaximal, characteristic, complemented
13#11720934C211yesmaximal, characteristic, complemented
14#11720926C211yesmaximal, characteristic, complemented
15#11720923C211yesmaximal, characteristic, complemented
16#10594483—31nomaximal
17#10589794—31nomaximal
18C2×C4⋊(C3⋊D9)C2211yescharacteristic
19C2×C4⋊(C3⋊D9)C2211yescharacteristic
20C2×C4⋊(C3⋊D9)C2211yescharacteristic
21C2×C4×C3⋊D9C2211yescharacteristic
22C2×(C3⋊D9)⋊C4C2211yescharacteristic
23C2×(C3⋊D9)⋊C4C2211yescharacteristic
24C2×(C3⋊D9)⋊C4C2211yescharacteristic
25C2×(C3⋊D9)⋊C4C2211yescharacteristic
26C2×#6189C2211yescharacteristic
27C3×C9×C4⋊C4C2211yescharacteristic
28#88536C2211yescharacteristic
29#88536C2211yescharacteristic
30C9×C4⋊Dic3C2211yescharacteristic
31C9×Dic3⋊C4C2211yescharacteristic
32C9×Dic3⋊C4C2211yescharacteristic
33C9×Dic3⋊C4C2211yescharacteristic
34C9×Dic3⋊C4C2211yescharacteristic
35C4×C9×Dic3C2211yescharacteristic
36C3×C4⋊Dic9C2211yescharacteristic
37C3×Dic9⋊C4C2211yescharacteristic
38C3×Dic9⋊C4C2211yescharacteristic
39C3×Dic9⋊C4C2211yescharacteristic
40C3×Dic9⋊C4C2211yescharacteristic
41C3×C4×Dic9C2211yescharacteristic
42#88445C2211yescharacteristic
43#88445C2211yescharacteristic
44#88445C2211yescharacteristic
45#88445C2211yescharacteristic
46#88445C2211yescharacteristic
47#88445C2211yescharacteristic
48#88445C2211yescharacteristic
49#88445C2211yescharacteristic
50Dic3⋊Dic9C2211yescharacteristic
51#88442C2211yescharacteristic
52Dic9⋊Dic3C2211yescharacteristic
53#64104—31no—
54C3×#889—31no—
55C3×#889D311yescharacteristic
56#63897—31no—
57#63897—31no—
58#63897—31no—
59#63897—31no—
60#63895—31no—
61#63895—31no—
62#63894—31no—
63#63894—31no—
64#63883—31no—
65#63868—31no—
66#63868—31no—
67#63865—31no—
68C9×#125—31no—
69#63460—31no—
70#63459—31no—
71#63458—31no—
72#63458—31no—
73#63457—31no—
74#63457—61no—
75#63456—31no—
76#63456—31no—
77#63456—31no—
78#63456—31no—
79#63455—31no—
80C4⋊C4×D9—31no—
81#63451D311yescharacteristic, complemented
82#63438—31no—
83C4×D36—31no—
84C22×C3⋊D9C2311yescharacteristic
85C22×C3⋊D9C2311yescharacteristic
86C22×C3⋊D9C2311yescharacteristic
87C2×C3×C4×C9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3×C4×C9C2311yescharacteristic
90C2×C3⋊Dic9C2311yescharacteristic
91C4⋊(C3⋊D9)—22no—
92C4⋊(C3⋊D9)—22no—
93C4⋊(C3⋊D9)—41no—
94C4×C3⋊D9—41no—
95C2×C9×Dic3C2311yescharacteristic
96C2×C9×Dic3C2311yescharacteristic
97C2×C9×Dic3C2311yescharacteristic
98C2×C9×Dic3C2311yescharacteristic
99C2×C3×Dic9C2311yescharacteristic
100C2×C3×Dic9C2311yescharacteristic
101C2×C3×Dic9C2311yescharacteristic
102C2×C3×Dic9C2311yescharacteristic
103(C3⋊D9)⋊C4—22no—
104(C3⋊D9)⋊C4—41no—
105(C3⋊D9)⋊C4—41no—
106(C3⋊D9)⋊C4—41no—
107#6189—41no—
108#5692—91no—
109#5692—91no—
110C2×C4⋊(C3⋊D3)—31no—
111C2×C4⋊(C3⋊D3)—31no—
112C2×C4⋊(C3⋊D3)—31no—
113C2×C4×C3⋊D3—31no—
114C2×#627—31no—
115C2×#624—31no—
116C2×#624—31no—
117C2×#624—31no—
118C2×#624—31no—
119C32×C4⋊C4C2×D311yescharacteristic
120#3752—31no—
121#3752—31no—
122C3×C4⋊Dic3—31no—
123C3×C4⋊Dic3C2×D311yescharacteristic
124C3×Dic3⋊C4—31no—
125C3×Dic3⋊C4—31no—
126C3×Dic3⋊C4—31no—
127C3×Dic3⋊C4—31no—
128C3×Dic3⋊C4C2×D311yescharacteristic
129C3×Dic3⋊C4C2×D311yescharacteristic
130C3×Dic3⋊C4C2×D311yescharacteristic
131C3×Dic3⋊C4C2×D311yescharacteristic
132C3×C4×Dic3—31no—
133C3×C4×Dic3C2×D311yescharacteristic
134#3724—31no—
135Dic3⋊Dic3—31no—
136Dic3⋊Dic3—31no—
137#3722—31no—
138#3722—31no—
139#3722—31no—
140#3722—31no—
141#3722—31no—
142#3722—31no—
143#3722—31no—
144#3722—31no—
145C2×D36—31no—
146C2×D36—31no—
147C2×D36—31no—
148C2×D36—61no—
149C2×D36—61no—
150C2×D36—61no—
151C2×C4×D9—31no—
152C2×C4×D9—31no—
153C2×C4×D9—31no—
154C2×C4×D9—31no—
155C2×C4×D9—31no—
156C2×C4×D9—61no—
157C2×Dic18—31no—
158C9×C4⋊C4—21no—
159C9×C4⋊C4—31no—
160C9×C4⋊C4—31no—
161C9×C4⋊C4—31no—
162C9×C4⋊C4—31no—
163C9×C4⋊C4—31no—
164C9×C4⋊C4C2×D311yescharacteristic
165C42×C9—31no—
166(C2×D9)⋊C4—31no—
167(C2×D9)⋊C4—31no—
168(C2×D9)⋊C4—31no—
169(C2×D9)⋊C4—31no—
170(C2×D9)⋊C4—31no—
171(C2×D9)⋊C4—31no—
172(C2×D9)⋊C4—31no—
173(C2×D9)⋊C4—31no—
174(C2×D9)⋊C4—31no—
175(C2×D9)⋊C4—31no—
176(C2×D9)⋊C4—61no—
177(C2×D9)⋊C4—61no—
178C4⋊Dic9—31no—
179C4⋊Dic9C2×D311yescharacteristic
180Dic9⋊C4—31no—
181Dic9⋊C4—31no—
182Dic9⋊C4C2×D311yescharacteristic
183Dic9⋊C4C2×D311yescharacteristic
184Dic9⋊C4C2×D311yescharacteristic
185Dic9⋊C4C2×D311yescharacteristic
186C4×Dic9C2×D311yescharacteristic
187C22×C3×C9C2411yescharacteristic
188C2×C3⋊D9—21no—
189C2×C3⋊D9—21no—
190C2×C3⋊D9—21no—
191C2×C3⋊D9—21no—
192C2×C3⋊D9—21no—
193C2×C3⋊D9—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—
201C9×Dic3—21no—
202C9×Dic3—21no—
203C9×Dic3—21no—
204C9×Dic3—21no—
205C3×Dic9—21no—
206C3×Dic9—21no—
207C3×Dic9—21no—
208C3×Dic9—21no—
209C3×#125—31no—
210C3×#125—91no—
211#898—91no—
212#898—91no—
213#897—91no—
214#897—91no—
215#896—91no—
216#896—91no—
217#896—91no—
218#896—91no—
219#895—91no—
220#895—91no—
221#895—181no—
222#894—91no—
223#894—91no—
224#894—91no—
225#894—91no—
226#894—91no—
227#894—91no—
228#894—91no—
229#894—91no—
230#893—91no—
231#893—91no—
232D3×C4⋊C4—91no—
233D3×C4⋊C4—91no—
234#889—31no—
235#889D911yescharacteristic, complemented
236#876—91no—
237#876—91no—
238C4×D12—91no—
239C4×D12—91no—
240C22×C3⋊D3—31no—
241C22×C3⋊D3—31no—
242C22×C3⋊D3—31no—
243C2×C32×C4C22×D311yescharacteristic
244C2×C32×C4C22×D311yescharacteristic
245C2×C32×C4C22×D311yescharacteristic
246C2×C3⋊Dic3—31no—
247C4⋊(C3⋊D3)—62no—
248C4⋊(C3⋊D3)—62no—
249C4⋊(C3⋊D3)—121no—
250C4×C3⋊D3—121no—
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
258C2×C3×Dic3C22×D311yescharacteristic
259#627—121no—
260#624—62no—
261#624—121no—
262#624—121no—
263#624—121no—
264C22×D9—31no—
265C22×D9—31no—
266C22×D9—31no—
267C22×D9—61no—
268C22×D9—61no—
269C22×D9—61no—
270C2×C4×C9—21no—
271C2×C4×C9—21no—
272C2×C4×C9—21no—
273C2×C4×C9—31no—
274C2×C4×C9—31no—
275C2×C4×C9—31no—
276C2×C4×C9—31no—
277C2×C4×C9C22×D311yescharacteristic
278C2×C4×C9C22×D311yescharacteristic
279C2×C4×C9C22×D311yescharacteristic
280C2×Dic9—31no—
281C2×Dic9—61no—
282C2×Dic9C22×D311yescharacteristic
283C2×Dic9C22×D311yescharacteristic
284C2×Dic9C22×D311yescharacteristic
285C2×Dic9C22×D311yescharacteristic
286D36—62no—
287D36—62no—
288D36—122no—
289D36—122no—
290D36—121no—
291D36—122no—
292C4×D9—62no—
293C4×D9—121no—
294C4×D9—121no—
295C4×D9—121no—
296C4×D9—121no—
297C4×D9—122no—
298Dic18—121no—
299#539—271noSylow
300C2×C3×C9C2×#4111yescharacteristic
301C2×C3×C9H(5,𝔽2)11yescharacteristic
302C2×C3×C92−1+411yescharacteristic
303C3⋊D9—22no—
304C3⋊D9—41no—
305C3⋊D9—41no—
306C2×D12—91no—
307C2×D12—91no—
308C2×D12—91no—
309C2×D12—91no—
310C2×D12—91no—
311C2×D12—91no—
312C2×D12—181no—
313C2×D12—181no—
314C2×D12—181no—
315C2×C4×D3—91no—
316C2×C4×D3—91no—
317C2×C4×D3—91no—
318C2×C4×D3—91no—
319C2×C4×D3—91no—
320C2×C4×D3—91no—
321C2×C4×D3—91no—
322C2×C4×D3—91no—
323C2×C4×D3—91no—
324C2×C4×D3—91no—
325C2×C4×D3—181no—
326C2×Dic6—91no—
327C2×Dic6—91no—
328C3×C4⋊C4—21no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—31no—
334C3×C4⋊C4—91no—
335C3×C4⋊C4—91no—
336C3×C4⋊C4—91no—
337C3×C4⋊C4—91no—
338C3×C4⋊C4—91no—
339C3×C4⋊C4C2×D911yescharacteristic
340C3×C4⋊C4D3211yescharacteristic
341C3×C42—31no—
342C3×C42—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—91no—
353(C2×D3)⋊C4—91no—
354(C2×D3)⋊C4—91no—
355(C2×D3)⋊C4—91no—
356(C2×D3)⋊C4—91no—
357(C2×D3)⋊C4—91no—
358(C2×D3)⋊C4—91no—
359(C2×D3)⋊C4—91no—
360(C2×D3)⋊C4—91no—
361(C2×D3)⋊C4—91no—
362(C2×D3)⋊C4—91no—
363(C2×D3)⋊C4—181no—
364(C2×D3)⋊C4—181no—
365C4⋊Dic3—31no—
366C4⋊Dic3—91no—
367C4⋊Dic3—91no—
368C4⋊Dic3C2×D911yescharacteristic
369Dic3⋊C4—31no—
370Dic3⋊C4—31no—
371Dic3⋊C4—31no—
372Dic3⋊C4—31no—
373Dic3⋊C4—91no—
374Dic3⋊C4—91no—
375Dic3⋊C4—91no—
376Dic3⋊C4—91no—
377Dic3⋊C4C2×D911yescharacteristic
378Dic3⋊C4C2×D911yescharacteristic
379Dic3⋊C4C2×D911yescharacteristic
380Dic3⋊C4C2×D911yescharacteristic
381C4×Dic3—31no—
382C4×Dic3C2×D911yescharacteristic
383C22×C32C23×D311yescharacteristic
384C2×C3⋊D3—32no—
385C2×C3⋊D3—61no—
386C2×C3⋊D3—61no—
387C2×C3⋊D3—61no—
388C2×C3⋊D3—61no—
389C2×C3⋊D3—61no—
390C2×C3⋊D3—61no—
391C2×C3⋊D3—61no—
392C2×C3⋊D3—61no—
393C32×C4—21no—
394C32×C4—21no—
395C32×C4—21no—
396C3⋊Dic3—61no—
397C3×Dic3—21no—
398C3×Dic3—21no—
399C3×Dic3—21no—
400C3×Dic3—21no—
401C3×Dic3—61no—
402C3×Dic3—61no—
403C3×Dic3—61no—
404C3×Dic3—61no—
405C22×C9—21no—
406C22×C9C23×D311yescharacteristic
407C2×D9—32no—
408C2×D9—62no—
409C2×D9—61no—
410C2×D9—61no—
411C2×D9—61no—
412C2×D9—61no—
413C2×D9—61no—
414C2×D9—61no—
415C2×D9—61no—
416C2×D9—61no—
417C2×D9—121no—
418C2×D9—121no—
419C2×D9—121no—
420C2×D9—121no—
421C2×D9—121no—
422C2×D9—121no—
423C2×D9—121no—
424C2×D9—121no—
425C4×C9—22no—
426C4×C9—21no—
427C4×C9—21no—
428C4×C9—21no—
429C4×C9—41no—
430C4×C9—41no—
431C4×C9—61no—
432C4×C9—61no—
433C4×C9—61no—
434C4×C9—61no—
435Dic9—21no—
436Dic9—21no—
437Dic9—21no—
438Dic9—21no—
439Dic9—61no—
440Dic9—121no—
441#126—271no—
442#126—271no—
443#125—31no—
444#125—91no—
445#123—271no—
446#123—271no—
447#123—271no—
448#123—271no—
449C22⋊Q8—271no—
450C22⋊Q8—271no—
451C22⋊Q8—271no—
452#121—271no—
453C4×D4—271no—
454C4×D4—271no—
455C2×C4⋊C4—271no—
456C3×C9#53911yescharacteristic, complemented, Sylow
457C22×D3—91no—
458C22×D3—91no—
459C22×D3—91no—
460C22×D3—91no—
461C22×D3—91no—
462C22×D3—91no—
463C22×D3—181no—
464C22×D3—181no—
465C22×D3—181no—
466C2×C3×C4—21no—
467C2×C3×C4—21no—
468C2×C3×C4—21no—
469C2×C3×C4—31no—
470C2×C3×C4—31no—
471C2×C3×C4—31no—
472C2×C3×C4—31no—
473C2×C3×C4—91no—
474C2×C3×C4—91no—
475C2×C3×C4—91no—
476C2×C3×C4—91no—
477C2×C3×C4C22×D911yescharacteristic
478C2×C3×C4C22×D911yescharacteristic
479C2×C3×C4C22×D911yescharacteristic
480C2×C3×C4C2×D3211yescharacteristic
481C2×C3×C4C2×D3211yescharacteristic
482C2×C3×C4C2×D3211yescharacteristic
483C2×Dic3—31no—
484C2×Dic3—31no—
485C2×Dic3—31no—
486C2×Dic3—31no—
487C2×Dic3—91no—
488C2×Dic3—91no—
489C2×Dic3—181no—
490C2×Dic3C22×D911yescharacteristic
491C2×Dic3C22×D911yescharacteristic
492C2×Dic3C22×D911yescharacteristic
493C2×Dic3C22×D911yescharacteristic
494D12—182no—
495D12—182no—
496D12—182no—
497D12—182no—
498D12—362no—
499D12—362no—
500D12—361no—
501D12—361no—
502D12—362no—
503C4×D3—182no—
504C4×D3—182no—
505C4×D3—361no—
506C4×D3—361no—
507C4×D3—361no—
508C4×D3—361no—
509C4×D3—361no—
510C4×D3—361no—
511C4×D3—361no—
512C4×D3—361no—
513C4×D3—362no—
514Dic6—361no—
515Dic6—361no—
516C2×C32#100711yescharacteristic
517C2×C32D3×#4111yescharacteristic
518C2×C32#100911yescharacteristic
519C3⋊D3—62no—
520C3⋊D3—121no—
521C3⋊D3—121no—
522C2×C9—21no—
523C2×C9—21no—
524C2×C9—21no—
525C2×C9#100711yescharacteristic
526C2×C9D3×#4111yescharacteristic
527C2×C9#100911yescharacteristic
528D9—62no—
529D9—122no—
530D9—121no—
531D9—121no—
532D9—241no—
533D9—241no—
534C2×Q8—271no—
535C2×D4—271no—
536C2×D4—271no—
537C2×D4—271no—
538C22×C4—271no—
539C22×C4—271no—
540C22×C4—271no—
541C22×C4—271no—
542C22×C4—271no—
543C4⋊C4—31no—
544C4⋊C4—31no—
545C4⋊C4—31no—
546C4⋊C4—31no—
547C4⋊C4—31no—
548C4⋊C4—91no—
549C4⋊C4—91no—
550C4⋊C4—91no—
551C4⋊C4—91no—
552C4⋊C4—91no—
553C4⋊C4—271no—
554C4⋊C4—271no—
555C4⋊C4—271no—
556C4⋊C4D3×D911yescharacteristic
557C22⋊C4—271no—
558C22⋊C4—271no—
559C22⋊C4—271no—
560C22⋊C4—271no—
561C22⋊C4—271no—
562C22⋊C4—271no—
563C22⋊C4—271no—
564C22⋊C4—271no—
565C22⋊C4—271no—
566C22⋊C4—271no—
567C42—31no—
568C42—91no—
569C22×C3—21no—
570C22×C3C23×D911yescharacteristic
571C22×C3C22×D3211yescharacteristic
572C2×D3—92no—
573C2×D3—92no—
574C2×D3—182no—
575C2×D3—181no—
576C2×D3—181no—
577C2×D3—181no—
578C2×D3—181no—
579C2×D3—181no—
580C2×D3—181no—
581C2×D3—181no—
582C2×D3—181no—
583C2×D3—181no—
584C2×D3—181no—
585C2×D3—181no—
586C2×D3—181no—
587C2×D3—181no—
588C2×D3—181no—
589C2×D3—181no—
590C2×D3—181no—
591C2×D3—361no—
592C2×D3—361no—
593C2×D3—361no—
594C2×D3—361no—
595C2×D3—361no—
596C2×D3—361no—
597C2×D3—361no—
598C2×D3—361no—
599C3×C4—22no—
600C3×C4—21no—
601C3×C4—21no—
602C3×C4—21no—
603C3×C4—21no—
604C3×C4—21no—
605C3×C4—21no—
606C3×C4—41no—
607C3×C4—41no—
608C3×C4—61no—
609C3×C4—61no—
610C3×C4—61no—
611C3×C4—61no—
612C3×C4—181no—
613C3×C4—181no—
614C3×C4—181no—
615C3×C4—181no—
616Dic3—21no—
617Dic3—21no—
618Dic3—21no—
619Dic3—21no—
620Dic3—61no—
621Dic3—61no—
622Dic3—61no—
623Dic3—61no—
624Dic3—181no—
625Dic3—181no—
626Dic3—361no—
627C32#569211yescharacteristic
628C9—21no—
629C9#569211yescharacteristic, complemented
630C23—271no—
631C23—271no—
632C23—271no—
633Q8—1081no—
634D4—542no—
635D4—542no—
636D4—1081no—
637C2×C4—31no—
638C2×C4—31no—
639C2×C4—31no—
640C2×C4—31no—
641C2×C4—91no—
642C2×C4—91no—
643C2×C4—91no—
644C2×C4—91no—
645C2×C4—271no—
646C2×C4—542no—
647C2×C4—1081no—
648C2×C4—1081no—
649C2×C4—1081no—
650C2×C4—1081no—
651C2×C4C2×D3×D911yescharacteristic
652C2×C4C2×D3×D911yescharacteristic
653C2×C4C2×D3×D911yescharacteristic
654C2×C3—21no—
655C2×C3—21no—
656C2×C3—21no—
657C2×C3#6371311yescharacteristic
658C2×C3#41×D911yescharacteristic
659C2×C3#6371511yescharacteristic
660C2×C3#6430811yescharacteristic
661C2×C3#6431211yescharacteristic
662C2×C3#6431611yescharacteristic
663D3—182no—
664D3—182no—
665D3—362no—
666D3—361no—
667D3—361no—
668D3—361no—
669D3—361no—
670D3—721no—
671D3—721no—
672C22—272no—
673C22—541no—
674C22—541no—
675C22—541no—
676C22—541no—
677C22—541no—
678C22—541no—
679C22—541no—
680C22—541no—
681C22C22×D3×D911yescharacteristic
682C4—21no—
683C4—21no—
684C4—21no—
685C4—61no—
686C4—61no—
687C4—61no—
688C4—61no—
689C4—181no—
690C4—181no—
691C4—181no—
692C4—181no—
693C4—541no—
694C3—21no—
695C3#1058979411yescharacteristic, complemented
696C3#1059448311yescharacteristic
697C2—542no—
698C2—1081no—
699C2—1081no—
700C2#1172247811yescharacteristic
701C2#1172249811yescharacteristic
702C2#1172250911yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C4⋊C4C22
socleC22×C32C23×D3
prime radical#11721751C2
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
2. C9×#889C2semidirect
3. C3×#63451C2semidirect
4. #11720997C2semidirect
5. #11720997C2semidirect
6. #11720997C2semidirect
7. #11720997C2semidirect
8. #11720995C2semidirect
9. #11720994C2semidirect
10. #11720993C2semidirect
11. #11720992C2semidirect
12. #11720980C2semidirect
13. #11720934C2semidirect
14. #11720926C2semidirect
15. #11720923C2semidirect
81. #63451D3semidirect
235. #889D9semidirect
456. C3×C9#539semidirect
629. C9#5692semidirect
695. C3#10589794semidirect

Maximal subgroups

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

subgroupindex
#117217512
C9×#8892
C3×#634512
#117209972
#117209952
#117209942
#117209932
#117209922
#117209802
#117209342
#117209262
#117209232
#105944833
#105897943