Finite Group Databasebeta

← #13148951

Subgroups — #13148951

Order 1728.

716 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721745C211yesmaximal, characteristic, complemented
2C9×#896C211yesmaximal, characteristic, complemented
3C3×#63457C211yesmaximal, characteristic, complemented
4#11721044C211yesmaximal, characteristic, complemented
5#11721037C211yesmaximal, characteristic, complemented
6#11721032C211yesmaximal, characteristic, complemented
7#11721031C211yesmaximal, characteristic, complemented
8#11720991C211yesmaximal, characteristic, complemented
9#11720984C211yesmaximal, characteristic, complemented
10#11720982C211yesmaximal, characteristic, complemented
11#11720982C211yesmaximal, characteristic, complemented
12#11720981C211yesmaximal, characteristic, complemented
13#11720981C211yesmaximal, characteristic, complemented
14#11720951C211yesmaximal, characteristic, complemented
15#11720939C211yesmaximal, characteristic, complemented
16#10594492—31nomaximal
17#10589749—31nomaximal
18C2×C4×D3×C9C2211yescharacteristic
19C2×C3×D36C2211yescharacteristic
20C2×C3×D36C2211yescharacteristic
21C2×C3×D36C2211yescharacteristic
22C2×C3×C4×D9C2211yescharacteristic
23C2×C9×Dic6C2211yescharacteristic
24C2×#6194C2211yescharacteristic
25C2×#6194C2211yescharacteristic
26C2×#6194C2211yescharacteristic
27C2×Dic3×D9C2211yescharacteristic
28C2×Dic3×D9C2211yescharacteristic
29C2×#6189C2211yescharacteristic
30C3×C9×C4⋊C4C2211yescharacteristic
31C4⋊(C3⋊Dic9)C2211yescharacteristic
32#88534C2211yescharacteristic
33#88534C2211yescharacteristic
34#88534C2211yescharacteristic
35#88534C2211yescharacteristic
36C4×C3⋊Dic9C2211yescharacteristic
37C9×(C2×D3)⋊C4C2211yescharacteristic
38C9×(C2×D3)⋊C4C2211yescharacteristic
39C3×(C2×D9)⋊C4C2211yescharacteristic
40C3×(C2×D9)⋊C4C2211yescharacteristic
41C9×Dic3⋊C4C2211yescharacteristic
42C9×Dic3⋊C4C2211yescharacteristic
43(C2×D3)⋊Dic9C2211yescharacteristic
44(C2×D9)⋊Dic3C2211yescharacteristic
45(C2×D9)⋊Dic3C2211yescharacteristic
46(C2×D9)⋊Dic3C2211yescharacteristic
47(C2×D9)⋊Dic3C2211yescharacteristic
48(C2×D9)⋊Dic3C2211yescharacteristic
49(C2×D9)⋊Dic3C2211yescharacteristic
50(C2×D9)⋊Dic3C2211yescharacteristic
51Dic3⋊Dic9C2211yescharacteristic
52Dic9⋊Dic3C2211yescharacteristic
53#64098—31no—
54C3×#896D311yescharacteristic
55C3×#895—31no—
56#63915—31no—
57#63908—31no—
58#63905—31no—
59#63905—31no—
60#63893—31no—
61#63887—31no—
62#63885—31no—
63#63885—31no—
64#63884—31no—
65#63884—31no—
66#63863—31no—
67#63851—31no—
68C9×C22⋊Q8—31no—
69#63509—31no—
70#63508—31no—
71#63492—31no—
72#63491—31no—
73#63459—31no—
74#63458—31no—
75#63457D311yescharacteristic, complemented
76#63456—31no—
77#63456—31no—
78#63451—31no—
79#63451—61no—
80#63447—31no—
81#63446—31no—
82#63446—31no—
83#63445—31no—
84C22×D3×C9C2311yescharacteristic
85C22×C3×D9C2311yescharacteristic
86C22×C3×D9C2311yescharacteristic
87C22×C3×D9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3×C4×C9C2311yescharacteristic
90C2×C3×C4×C9C2311yescharacteristic
91C2×C3⋊Dic9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94C2×C3⋊Dic9C2311yescharacteristic
95C2×C9×Dic3C2311yescharacteristic
96C2×C9×Dic3C2311yescharacteristic
97C2×C9×Dic3C2311yescharacteristic
98C2×C3×Dic9C2311yescharacteristic
99C4×D3×C9—41no—
100C3×D36—41no—
101C3×D36—41no—
102C3×D36—41no—
103C3×C4×D9—41no—
104C9×Dic6—41no—
105#6194—41no—
106#6194—41no—
107#6194—41no—
108Dic3×D9—41no—
109Dic3×D9—41no—
110#6189—41no—
111#5647—91no—
112#5621—91no—
113C2×C3×D12—31no—
114C2×C3×D12—31no—
115C2×C3×D12—31no—
116C2×C3×C4×D3—31no—
117C2×C3×C4×D3C2×D311yescharacteristic
118C2×C3×Dic6C2×D311yescharacteristic
119C2×#627—31no—
120C2×#625—31no—
121C2×#625—31no—
122C2×#625—31no—
123C2×D3×Dic3—31no—
124C2×D3×Dic3—31no—
125C32×C4⋊C4C2×D311yescharacteristic
126C4⋊(C3⋊Dic3)—31no—
127#3750—31no—
128#3750—31no—
129#3750—31no—
130#3750—31no—
131C4×C3⋊Dic3—31no—
132C3×(C2×D3)⋊C4—31no—
133C3×(C2×D3)⋊C4—31no—
134C3×(C2×D3)⋊C4C2×D311yescharacteristic
135C3×(C2×D3)⋊C4C2×D311yescharacteristic
136C3×Dic3⋊C4C2×D311yescharacteristic
137C3×Dic3⋊C4C2×D311yescharacteristic
138Dic3⋊Dic3—31no—
139Dic3⋊Dic3—31no—
140(C2×D3)⋊Dic3—31no—
141(C2×D3)⋊Dic3—31no—
142(C2×D3)⋊Dic3—31no—
143(C2×D3)⋊Dic3—31no—
144(C2×D3)⋊Dic3—31no—
145(C2×D3)⋊Dic3—31no—
146(C2×D3)⋊Dic3—31no—
147(C2×D3)⋊Dic3—31no—
148C2×Q8×C9—31no—
149C22×C4×C9—31no—
150C2×#611—31no—
151C2×#611—31no—
152C2×#611—31no—
153C2×D36C2×D311yescharacteristic
154C2×D36C2×D311yescharacteristic
155C2×D36C2×D311yescharacteristic
156C2×C4×D9—31no—
157C2×C4×D9—31no—
158C2×C4×D9C2×D311yescharacteristic
159C2×Dic18—31no—
160C9×C4⋊C4—21no—
161C9×C4⋊C4—31no—
162C9×C4⋊C4—31no—
163C9×C4⋊C4C2×D311yescharacteristic
164C9×C22⋊C4—31no—
165C9×C22⋊C4—31no—
166#3676—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)⋊C4C2×D311yescharacteristic
175(C2×D9)⋊C4C2×D311yescharacteristic
176C4⋊Dic9—31no—
177C4⋊Dic9—31no—
178C4⋊Dic9—61no—
179Dic9⋊C4—31no—
180Dic9⋊C4—31no—
181Dic9⋊C4—31no—
182Dic9⋊C4—31no—
183Dic9⋊C4—31no—
184Dic9⋊C4—61no—
185Dic9⋊C4—61no—
186Dic9⋊C4—61no—
187Dic9⋊C4—61no—
188C4×Dic9—31no—
189C4×Dic9—61no—
190C22×C3×C9C2411yescharacteristic
191C2×D3×C9—21no—
192C2×D3×C9—21no—
193C2×D3×C9—21no—
194C2×C3×D9—21no—
195C2×C3×D9—21no—
196C2×C3×D9—21no—
197C2×C3×D9—21no—
198C2×C3×D9—21no—
199C2×C3×D9—21no—
200C2×C3×D9—21no—
201C2×C3×D9—21no—
202C2×C3×D9—21no—
203C3×C4×C9—21no—
204C3×C4×C9—21no—
205C3×C4×C9—21no—
206C3⋊Dic9—21no—
207C3⋊Dic9—21no—
208C3⋊Dic9—21no—
209C3⋊Dic9—21no—
210C9×Dic3—21no—
211C9×Dic3—21no—
212C9×Dic3—21no—
213C3×Dic9—21no—
214C3×C22⋊Q8—31no—
215C3×#121—91no—
216#947—91no—
217#946—91no—
218#939—91no—
219#939—91no—
220#938—91no—
221#936—91no—
222#935—91no—
223#935—91no—
224#930—91no—
225#929—91no—
226#929—91no—
227#924—91no—
228#897—91no—
229#896—91no—
230#896D911yescharacteristic, complemented
231#895—31no—
232#894—91no—
233#894—91no—
234#889—91no—
235#889—91no—
236#889—181no—
237#885—91no—
238#885—91no—
239#884—91no—
240#884—91no—
241#883—91no—
242#883—91no—
243#878—91no—
244#878—91no—
245C22×C3×D3—31no—
246C22×C3×D3—31no—
247C22×C3×D3—31no—
248C22×C3×D3C22×D311yescharacteristic
249C2×C32×C4C22×D311yescharacteristic
250C2×C32×C4C22×D311yescharacteristic
251C2×C32×C4C22×D311yescharacteristic
252C2×C3⋊Dic3—31no—
253C2×C3⋊Dic3—31no—
254C2×C3⋊Dic3—31no—
255C2×C3⋊Dic3—31no—
256C2×C3×Dic3—31no—
257C2×C3×Dic3C22×D311yescharacteristic
258C2×C3×Dic3C22×D311yescharacteristic
259C2×C3×Dic3C22×D311yescharacteristic
260C3×D12—121no—
261C3×D12—121no—
262C3×D12—121no—
263C3×C4×D3—41no—
264C3×C4×D3—121no—
265C3×Dic6—41no—
266#627—121no—
267#625—121no—
268#625—121no—
269#625—121no—
270D3×Dic3—121no—
271D3×Dic3—121no—
272C23×C9—31no—
273C22×D9C22×D311yescharacteristic
274C22×D9C22×D311yescharacteristic
275C22×D9C22×D311yescharacteristic
276Q8×C9—121no—
277C2×C4×C9—21no—
278C2×C4×C9—21no—
279C2×C4×C9—21no—
280C2×C4×C9—31no—
281C2×C4×C9—31no—
282C2×C4×C9—31no—
283C2×C4×C9—121no—
284C2×C4×C9C22×D311yescharacteristic
285C2×C4×C9C22×D311yescharacteristic
286C2×C4×C9C22×D311yescharacteristic
287#611—121no—
288#611—121no—
289#611—121no—
290C2×Dic9—31no—
291C2×Dic9—31no—
292C2×Dic9—31no—
293C2×Dic9—31no—
294C2×Dic9—61no—
295C2×Dic9—61no—
296C2×Dic9—61no—
297C2×Dic9—61no—
298C2×Dic9C22×D311yescharacteristic
299D36—41no—
300D36—41no—
301D36—41no—
302C4×D9—41no—
303C4×D9—121no—
304C4×D9—121no—
305Dic18—121no—
306#562—271noSylow
307C2×C3×C9H(5,𝔽2)11yescharacteristic
308C2×C3×C9H(5,𝔽2)11yescharacteristic
309C2×C3×C92−1+411yescharacteristic
310D3×C9—41no—
311C3×D9—41no—
312C3×D9—41no—
313C3×D9—41no—
314C2×C3×Q8—31no—
315C2×C3×D4—91no—
316C2×C3×D4—91no—
317C2×C3×D4—91no—
318C22×C3×C4—31no—
319C22×C3×C4—91no—
320C2×#67—91no—
321C2×#67—91no—
322C2×#67—91no—
323C2×#67—91no—
324C2×#67—91no—
325C2×#67—91no—
326C22×Dic3—91no—
327C22×Dic3—91no—
328C2×D12—31no—
329C2×D12—31no—
330C2×D12—31no—
331C2×C4×D3—31no—
332C2×C4×D3—91no—
333C2×C4×D3—91no—
334C2×C4×D3C2×D911yescharacteristic
335C2×Dic6—91no—
336C2×Dic6—91no—
337C2×Dic6C2×D911yescharacteristic
338C3×C4⋊C4—21no—
339C3×C4⋊C4—31no—
340C3×C4⋊C4—31no—
341C3×C4⋊C4C2×D911yescharacteristic
342C3×C4⋊C4D3211yescharacteristic
343C3×C22⋊C4—31no—
344C3×C22⋊C4—31no—
345C3×C22⋊C4—91no—
346C3×C22⋊C4—91no—
347#217—91no—
348#217—91no—
349#217—91no—
350#217—91no—
351#217—91no—
352#217—91no—
353#217—91no—
354#217—91no—
355(C2×D3)⋊C4—31no—
356(C2×D3)⋊C4—31no—
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—91no—
364(C2×D3)⋊C4—91no—
365(C2×D3)⋊C4C2×D911yescharacteristic
366(C2×D3)⋊C4C2×D911yescharacteristic
367C4⋊Dic3—91no—
368C4⋊Dic3—91no—
369C4⋊Dic3—91no—
370C4⋊Dic3—91no—
371C4⋊Dic3—181no—
372Dic3⋊C4—91no—
373Dic3⋊C4—91no—
374Dic3⋊C4—91no—
375Dic3⋊C4—91no—
376Dic3⋊C4—91no—
377Dic3⋊C4—91no—
378Dic3⋊C4—91no—
379Dic3⋊C4—91no—
380Dic3⋊C4—91no—
381Dic3⋊C4—91no—
382Dic3⋊C4—181no—
383Dic3⋊C4—181no—
384Dic3⋊C4—181no—
385Dic3⋊C4—181no—
386Dic3⋊C4C2×D911yescharacteristic
387Dic3⋊C4C2×D911yescharacteristic
388C4×Dic3—91no—
389C4×Dic3—91no—
390C4×Dic3—181no—
391C22×C32C23×D311yescharacteristic
392C2×C3×D3—21no—
393C2×C3×D3—21no—
394C2×C3×D3—21no—
395C2×C3×D3—61no—
396C2×C3×D3—61no—
397C2×C3×D3—61no—
398C2×C3×D3—61no—
399C2×C3×D3—61no—
400C2×C3×D3—61no—
401C2×C3×D3—61no—
402C2×C3×D3—61no—
403C2×C3×D3—61no—
404C32×C4—21no—
405C32×C4—21no—
406C32×C4—21no—
407C3⋊Dic3—61no—
408C3⋊Dic3—61no—
409C3⋊Dic3—61no—
410C3⋊Dic3—61no—
411C3×Dic3—21no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—61no—
415C22×C9—21no—
416C22×C9—61no—
417C22×C9—61no—
418C22×C9—61no—
419C22×C9C23×D311yescharacteristic
420C2×D9—21no—
421C2×D9—21no—
422C2×D9—21no—
423C2×D9—21no—
424C2×D9—21no—
425C2×D9—21no—
426C2×D9—21no—
427C2×D9—21no—
428C2×D9—21no—
429C4×C9—21no—
430C4×C9—21no—
431C4×C9—21no—
432C4×C9—41no—
433C4×C9—41no—
434C4×C9—41no—
435C4×C9—61no—
436C4×C9—61no—
437C4×C9—61no—
438Dic9—21no—
439Dic9—62no—
440Dic9—61no—
441Dic9—61no—
442Dic9—61no—
443Dic9—61no—
444Dic9—121no—
445Dic9—121no—
446Dic9—121no—
447#125—271no—
448#124—271no—
449#124—271no—
450#123—271no—
451#123—271no—
452#123—271no—
453#123—271no—
454C22⋊Q8—31no—
455C22⋊Q8—271no—
456C22⋊Q8—271no—
457C22⋊Q8—271no—
458#121—91no—
459#121—271no—
460#121—271no—
461#121—271no—
462C3×C9#56211yescharacteristic, complemented, Sylow
463C23×C3—31no—
464C23×C3—91no—
465C23×C3—91no—
466C23×C3—91no—
467C22×D3—31no—
468C22×D3—31no—
469C22×D3—31no—
470C22×D3C22×D911yescharacteristic
471C3×Q8—121no—
472C3×D4—361no—
473C3×D4—361no—
474C3×D4—361no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—31no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—91no—
482C2×C3×C4—121no—
483C2×C3×C4—361no—
484C2×C3×C4C22×D911yescharacteristic
485C2×C3×C4C22×D911yescharacteristic
486C2×C3×C4C22×D911yescharacteristic
487C2×C3×C4C2×D3211yescharacteristic
488C2×C3×C4C2×D3211yescharacteristic
489C2×C3×C4C2×D3211yescharacteristic
490#67—361no—
491#67—361no—
492#67—361no—
493#67—361no—
494#67—361no—
495#67—361no—
496C2×Dic3—31no—
497C2×Dic3—91no—
498C2×Dic3—91no—
499C2×Dic3—91no—
500C2×Dic3—91no—
501C2×Dic3—91no—
502C2×Dic3—91no—
503C2×Dic3—91no—
504C2×Dic3—91no—
505C2×Dic3—181no—
506C2×Dic3—181no—
507C2×Dic3—181no—
508C2×Dic3—181no—
509C2×Dic3—361no—
510C2×Dic3—361no—
511C2×Dic3C22×D911yescharacteristic
512C2×Dic3C22×D911yescharacteristic
513C2×Dic3C22×D911yescharacteristic
514D12—121no—
515D12—121no—
516D12—121no—
517C4×D3—41no—
518C4×D3—121no—
519C4×D3—361no—
520C4×D3—361no—
521Dic6—41no—
522Dic6—361no—
523Dic6—361no—
524C2×C32#100411yescharacteristic
525C2×C32#100711yescharacteristic
526C2×C32#100911yescharacteristic
527C3×D3—41no—
528C3×D3—121no—
529C3×D3—121no—
530C3×D3—121no—
531C2×C9—21no—
532C2×C9—21no—
533C2×C9—21no—
534C2×C9—121no—
535C2×C9#100411yescharacteristic
536C2×C9#100411yescharacteristic
537C2×C9#101011yescharacteristic
538D9—41no—
539D9—41no—
540D9—41no—
541C2×Q8—31no—
542C2×Q8—271no—
543C2×D4—91no—
544C2×D4—91no—
545C2×D4—91no—
546C2×D4—271no—
547C2×D4—271no—
548C2×D4—271no—
549C22×C4—31no—
550C22×C4—91no—
551C22×C4—271no—
552C22×C4—271no—
553C4⋊C4—31no—
554C4⋊C4—31no—
555C4⋊C4—271no—
556C4⋊C4—271no—
557C4⋊C4—271no—
558C4⋊C4—271no—
559C4⋊C4—271no—
560C4⋊C4—271no—
561C4⋊C4—271no—
562C4⋊C4D3×D911yescharacteristic
563C22⋊C4—31no—
564C22⋊C4—31no—
565C22⋊C4—91no—
566C22⋊C4—91no—
567C22⋊C4—271no—
568C22⋊C4—271no—
569C22⋊C4—271no—
570C22⋊C4—271no—
571C22⋊C4—271no—
572C22⋊C4—271no—
573C22⋊C4—271no—
574C22⋊C4—271no—
575C42—271no—
576C22×C3—21no—
577C22×C3—61no—
578C22×C3—61no—
579C22×C3—61no—
580C22×C3—181no—
581C22×C3—181no—
582C22×C3—181no—
583C22×C3—181no—
584C22×C3—181no—
585C22×C3—181no—
586C22×C3—181no—
587C22×C3—181no—
588C22×C3—181no—
589C22×C3C23×D911yescharacteristic
590C22×C3C22×D3211yescharacteristic
591C2×D3—21no—
592C2×D3—21no—
593C2×D3—21no—
594C2×D3—61no—
595C2×D3—61no—
596C2×D3—61no—
597C2×D3—61no—
598C2×D3—61no—
599C2×D3—61no—
600C2×D3—61no—
601C2×D3—61no—
602C2×D3—61no—
603C3×C4—21no—
604C3×C4—21no—
605C3×C4—21no—
606C3×C4—21no—
607C3×C4—21no—
608C3×C4—21no—
609C3×C4—41no—
610C3×C4—41no—
611C3×C4—41no—
612C3×C4—61no—
613C3×C4—61no—
614C3×C4—61no—
615C3×C4—181no—
616Dic3—21no—
617Dic3—21no—
618Dic3—21no—
619Dic3—61no—
620Dic3—182no—
621Dic3—181no—
622Dic3—181no—
623Dic3—181no—
624Dic3—181no—
625Dic3—181no—
626Dic3—181no—
627Dic3—181no—
628Dic3—181no—
629Dic3—361no—
630Dic3—361no—
631Dic3—361no—
632C32#564711yescharacteristic
633C9—21no—
634C9#562111yescharacteristic, complemented
635C23—31no—
636C23—91no—
637C23—91no—
638C23—91no—
639Q8—121no—
640Q8—1081no—
641D4—361no—
642D4—361no—
643D4—361no—
644D4—1081no—
645D4—1081no—
646D4—1081no—
647C2×C4—31no—
648C2×C4—31no—
649C2×C4—31no—
650C2×C4—91no—
651C2×C4—121no—
652C2×C4—271no—
653C2×C4—271no—
654C2×C4—271no—
655C2×C4—271no—
656C2×C4—361no—
657C2×C4—1081no—
658C2×C4—1081no—
659C2×C4C2×D3×D911yescharacteristic
660C2×C4C2×D3×D911yescharacteristic
661C2×C4C2×D3×D911yescharacteristic
662C2×C3—21no—
663C2×C3—21no—
664C2×C3—21no—
665C2×C3—121no—
666C2×C3—361no—
667C2×C3—361no—
668C2×C3—361no—
669C2×C3#6371011yescharacteristic
670C2×C3#6371311yescharacteristic
671C2×C3#6371511yescharacteristic
672C2×C3#6430711yescharacteristic
673C2×C3#6431311yescharacteristic
674C2×C3#6431511yescharacteristic
675D3—41no—
676D3—121no—
677D3—121no—
678D3—121no—
679C22—61no—
680C22—61no—
681C22—61no—
682C22—181no—
683C22—181no—
684C22—181no—
685C22—181no—
686C22—181no—
687C22—181no—
688C22—181no—
689C22—181no—
690C22—181no—
691C22C22×D3×D911yescharacteristic
692C4—21no—
693C4—21no—
694C4—21no—
695C4—61no—
696C4—61no—
697C4—61no—
698C4—181no—
699C4—541no—
700C4—541no—
701C4—541no—
702C4—541no—
703C3—21no—
704C3#1058974911yescharacteristic, complemented
705C3#1059449211yescharacteristic
706C2—121no—
707C2—361no—
708C2—361no—
709C2—361no—
710C2#1172247711yescharacteristic
711C2#1172249911yescharacteristic
712C2#1172251011yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C4⋊C4C22
socleC22×C32C23×D3
hypercenterC4⋊C4D3×D9
hypocenterC3×C9#562
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. #11721745C2semidirect
2. C9×#896C2semidirect
3. C3×#63457C2semidirect
4. #11721044C2semidirect
5. #11721037C2semidirect
6. #11721032C2semidirect
7. #11721031C2semidirect
8. #11720991C2semidirect
9. #11720984C2semidirect
10. #11720982C2semidirect
11. #11720982C2semidirect
12. #11720981C2semidirect
13. #11720981C2semidirect
14. #11720951C2semidirect
15. #11720939C2semidirect
75. #63457D3semidirect
230. #896D9semidirect
462. C3×C9#562semidirect
634. C9#5621semidirect
704. C3#10589749semidirect

Maximal subgroups

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

subgroupindex
#117217452
C9×#8962
C3×#634572
#117210442
#117210372
#117210322
#117210312
#117209912
#117209842
#117209822
#117209812
#117209512
#117209392
#105944923
#105897493