Finite Group Databasebeta

← #13151091

Subgroups — #13151091

Order 1728.

754 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721839C211yesmaximal, characteristic, complemented
2C3×#63500C211yesmaximal, characteristic, complemented
3C9×#935C211yesmaximal, characteristic, complemented
4#11721277C211yesmaximal, characteristic, complemented
5#11721275C211yesmaximal, characteristic, complemented
6#11721267C211yesmaximal, characteristic, complemented
7#11721260C211yesmaximal, characteristic, complemented
8#11721257C211yesmaximal, characteristic, complemented
9#11721256C211yesmaximal, characteristic, complemented
10#11721249C211yesmaximal, characteristic, complemented
11#11721242C211yesmaximal, characteristic, complemented
12#11720995C211yesmaximal, characteristic, complemented
13#11720939C211yesmaximal, characteristic, complemented
14#11720938C211yesmaximal, characteristic, complemented
15#11720916C211yesmaximal, characteristic, complemented
16#10595263—31nomaximal
17#10589769—31nomaximal
18C2×C3×D4×C9C2211yescharacteristic
19C2×#6233C2211yescharacteristic
20C2×#6233C2211yescharacteristic
21C22×C3⋊Dic9C2211yescharacteristic
22C2×C3×#611C2211yescharacteristic
23C2×C3×#611C2211yescharacteristic
24C22×C9×Dic3C2211yescharacteristic
25C2×C3×C4×D9C2211yescharacteristic
26C2×#6192C2211yescharacteristic
27C2×(C3⋊D9)⋊C4C2211yescharacteristic
28C2×#6189C2211yescharacteristic
29C2×#6189C2211yescharacteristic
30#88551C2211yescharacteristic
31#88536C2211yescharacteristic
32#88534C2211yescharacteristic
33C9×#217C2211yescharacteristic
34C9×#217C2211yescharacteristic
35C9×#217C2211yescharacteristic
36C3×#3676C2211yescharacteristic
37C3×#3676C2211yescharacteristic
38C9×Dic3⋊C4C2211yescharacteristic
39C9×Dic3⋊C4C2211yescharacteristic
40C3×C4⋊Dic9C2211yescharacteristic
41#88445C2211yescharacteristic
42#88445C2211yescharacteristic
43(C2×D9)⋊Dic3C2211yescharacteristic
44(C2×D9)⋊Dic3C2211yescharacteristic
45(C2×D9)⋊Dic3C2211yescharacteristic
46Dic3⋊Dic9C2211yescharacteristic
47Dic3⋊Dic9C2211yescharacteristic
48Dic3⋊Dic9C2211yescharacteristic
49#88442C2211yescharacteristic
50Dic9⋊Dic3C2211yescharacteristic
51Dic9⋊Dic3C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53#64148—31no—
54C3×#938—31no—
55C3×#935D311yescharacteristic
56#63982—31no—
57#63978—31no—
58#63975—31no—
59#63964—31no—
60#63962—31no—
61#63959—31no—
62#63958—31no—
63#63953—31no—
64#63895—31no—
65#63851—31no—
66#63850—31no—
67#63846—31no—
68C9×#123—31no—
69#63501—31no—
70#63501—61no—
71#63500D311yescharacteristic, complemented
72#63492—31no—
73#63486—31no—
74#63459—31no—
75#63458—31no—
76#63456—31no—
77#63452—31no—
78#63448—31no—
79#63447—31no—
80#63447—31no—
81#63446—31no—
82#63445—31no—
83#63440—31no—
84C23×C3×C9C2311yescharacteristic
85C23×C3×C9C2311yescharacteristic
86C22×C3⋊D9C2311yescharacteristic
87C22×C3×D9C2311yescharacteristic
88C3×D4×C9—41no—
89C2×C3×C4×C9C2311yescharacteristic
90#6233—41no—
91#6233—41no—
92C2×C3⋊Dic9—41no—
93C2×C3⋊Dic9C2311yescharacteristic
94C2×C3⋊Dic9C2311yescharacteristic
95C2×C3⋊Dic9C2311yescharacteristic
96C3×#611—41no—
97C3×#611—41no—
98C2×C9×Dic3—41no—
99C2×C9×Dic3C2311yescharacteristic
100C2×C9×Dic3C2311yescharacteristic
101C2×C9×Dic3C2311yescharacteristic
102C2×C9×Dic3C2311yescharacteristic
103C2×C3×Dic9C2311yescharacteristic
104C2×C3×Dic9C2311yescharacteristic
105C2×C3×Dic9C2311yescharacteristic
106C3×C4×D9—41no—
107#6192—41no—
108(C3⋊D9)⋊C4—41no—
109#6189—41no—
110#6189—41no—
111#5667—91no—
112#5621—91no—
113C2×C32×D4C2×D311yescharacteristic
114C2×#638—31no—
115C2×#638—31no—
116C22×C3⋊Dic3—31no—
117C2×C3×#67—31no—
118C2×C3×#67—31no—
119C22×C3×Dic3C2×D311yescharacteristic
120C2×C3×C4×D3—31no—
121C2×#627—31no—
122C2×#627—31no—
123C2×#626—31no—
124C2×#624—31no—
125#3757—31no—
126#3752—31no—
127#3750—31no—
128C3×#217—31no—
129C3×#217—31no—
130C3×#217C2×D311yescharacteristic
131C3×#217C2×D311yescharacteristic
132C3×#217C2×D311yescharacteristic
133C3×C4⋊Dic3—31no—
134C3×Dic3⋊C4C2×D311yescharacteristic
135C3×Dic3⋊C4C2×D311yescharacteristic
136#3724—31no—
137Dic3⋊Dic3—31no—
138Dic3⋊Dic3—31no—
139Dic3⋊Dic3—31no—
140Dic3⋊Dic3—31no—
141Dic3⋊Dic3—31no—
142#3722—31no—
143#3722—31no—
144(C2×D3)⋊Dic3—31no—
145(C2×D3)⋊Dic3—31no—
146(C2×D3)⋊Dic3—31no—
147Dic32—31no—
148C2×D4×C9—21no—
149C2×D4×C9C2×D311yescharacteristic
150C22×C4×C9—31no—
151C2×#611—31no—
152C2×#611—31no—
153C2×#611—61no—
154C2×#611—61no—
155C2×#611C2×D311yescharacteristic
156C2×#611C2×D311yescharacteristic
157C22×Dic9—31no—
158C22×Dic9—61no—
159C2×D36—31no—
160C2×C4×D9—31no—
161C2×C4×D9C2×D311yescharacteristic
162C2×Dic18—31no—
163C2×Dic18—31no—
164C9×C4⋊C4—31no—
165C9×C4⋊C4—31no—
166C9×C22⋊C4—31no—
167C9×C22⋊C4—31no—
168C9×C22⋊C4—31no—
169#3676—31no—
170#3676—61no—
171#3676C2×D311yescharacteristic
172#3676C2×D311yescharacteristic
173(C2×D9)⋊C4—31no—
174(C2×D9)⋊C4—31no—
175(C2×D9)⋊C4—31no—
176(C2×D9)⋊C4—31no—
177(C2×D9)⋊C4—31no—
178(C2×D9)⋊C4—31no—
179(C2×D9)⋊C4—61no—
180C4⋊Dic9—31no—
181C4⋊Dic9—31no—
182C4⋊Dic9—31no—
183C4⋊Dic9C2×D311yescharacteristic
184Dic9⋊C4—31no—
185Dic9⋊C4—31no—
186Dic9⋊C4—31no—
187Dic9⋊C4—31no—
188Dic9⋊C4—61no—
189C4×Dic9—31no—
190C22×C3×C9—21no—
191C22×C3×C9—21no—
192C22×C3×C9—21no—
193C22×C3×C9—21no—
194C22×C3×C9—21no—
195C22×C3×C9—21no—
196C22×C3×C9C2411yescharacteristic
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⋊Dic9—21no—
205C3⋊Dic9—21no—
206C3⋊Dic9—21no—
207C9×Dic3—21no—
208C9×Dic3—21no—
209C9×Dic3—21no—
210C9×Dic3—21no—
211C3×Dic9—21no—
212C3×Dic9—21no—
213C3×Dic9—21no—
214C3×#123—31no—
215C3×#121—91no—
216#939—91no—
217#939—91no—
218#939—91no—
219#939—181no—
220#938—31no—
221#938—91no—
222#936—91no—
223#935—91no—
224#935D911yescharacteristic, complemented
225#930—91no—
226#929—91no—
227#924—91no—
228#924—91no—
229#897—91no—
230#896—91no—
231#896—91no—
232#894—91no—
233#890—91no—
234#889—91no—
235#886—91no—
236#885—91no—
237#885—91no—
238#885—91no—
239#884—91no—
240#883—91no—
241#883—91no—
242#878—91no—
243#878—91no—
244#878—91no—
245C23×C32C22×D311yescharacteristic
246C23×C32C22×D311yescharacteristic
247C22×C3⋊D3—31no—
248C22×C3×D3—31no—
249C32×D4—41no—
250C2×C32×C4C22×D311yescharacteristic
251#638—121no—
252#638—121no—
253C2×C3⋊Dic3—31no—
254C2×C3⋊Dic3—31no—
255C2×C3⋊Dic3—31no—
256C2×C3⋊Dic3—121no—
257C3×#67—121no—
258C3×#67—121no—
259C2×C3×Dic3—31no—
260C2×C3×Dic3—31no—
261C2×C3×Dic3—31no—
262C2×C3×Dic3—41no—
263C2×C3×Dic3C22×D311yescharacteristic
264C2×C3×Dic3C22×D311yescharacteristic
265C2×C3×Dic3C22×D311yescharacteristic
266C2×C3×Dic3C22×D311yescharacteristic
267C3×C4×D3—121no—
268#627—121no—
269#627—121no—
270#626—121no—
271#624—121no—
272C23×C9—21no—
273C23×C9—21no—
274C23×C9C22×D311yescharacteristic
275C23×C9C22×D311yescharacteristic
276C22×D9—31no—
277C22×D9—61no—
278C22×D9C22×D311yescharacteristic
279D4×C9—41no—
280D4×C9—42no—
281C2×C4×C9—21no—
282C2×C4×C9—31no—
283C2×C4×C9—31no—
284C2×C4×C9—31no—
285C2×C4×C9—31no—
286C2×C4×C9—121no—
287C2×C4×C9C22×D311yescharacteristic
288#611—41no—
289#611—41no—
290#611—121no—
291#611—121no—
292#611—122no—
293#611—122no—
294C2×Dic9—31no—
295C2×Dic9—31no—
296C2×Dic9—31no—
297C2×Dic9—61no—
298C2×Dic9—61no—
299C2×Dic9—61no—
300C2×Dic9—121no—
301C2×Dic9—122no—
302C2×Dic9C22×D311yescharacteristic
303C2×Dic9C22×D311yescharacteristic
304C2×Dic9C22×D311yescharacteristic
305D36—121no—
306C4×D9—41no—
307C4×D9—121no—
308Dic18—121no—
309Dic18—121no—
310#562—271noSylow
311C2×C3×C9—41no—
312C2×C3×C9—41no—
313C2×C3×C9H(5,𝔽2)11yescharacteristic
314C2×C3×C9H(5,𝔽2)11yescharacteristic
315C2×C3×C92−1+411yescharacteristic
316C3⋊D9—41no—
317C3×D9—41no—
318C2×C3×D4—21no—
319C2×C3×D4—91no—
320C2×C3×D4—91no—
321C2×C3×D4C2×D911yescharacteristic
322C2×C3×D4D3211yescharacteristic
323C22×C3×C4—31no—
324C22×C3×C4—91no—
325C2×#67—31no—
326C2×#67—31no—
327C2×#67—91no—
328C2×#67—91no—
329C2×#67—91no—
330C2×#67—91no—
331C2×#67—91no—
332C2×#67—181no—
333C2×#67—181no—
334C22×Dic3—91no—
335C22×Dic3—91no—
336C22×Dic3—181no—
337C22×Dic3C2×D911yescharacteristic
338C2×D12—91no—
339C2×C4×D3—31no—
340C2×C4×D3—91no—
341C2×C4×D3—91no—
342C2×Dic6—91no—
343C2×Dic6—91no—
344C2×Dic6—91no—
345C2×Dic6—91no—
346C3×C4⋊C4—31no—
347C3×C4⋊C4—31no—
348C3×C4⋊C4—91no—
349C3×C22⋊C4—31no—
350C3×C22⋊C4—31no—
351C3×C22⋊C4—31no—
352C3×C22⋊C4—91no—
353C3×C22⋊C4—91no—
354#217—31no—
355#217—31no—
356#217—91no—
357#217—91no—
358#217—91no—
359#217—91no—
360#217—91no—
361#217—181no—
362#217C2×D911yescharacteristic
363#217C2×D911yescharacteristic
364#217C2×D911yescharacteristic
365(C2×D3)⋊C4—91no—
366(C2×D3)⋊C4—91no—
367(C2×D3)⋊C4—91no—
368(C2×D3)⋊C4—91no—
369(C2×D3)⋊C4—91no—
370(C2×D3)⋊C4—91no—
371(C2×D3)⋊C4—91no—
372(C2×D3)⋊C4—91no—
373(C2×D3)⋊C4—91no—
374(C2×D3)⋊C4—181no—
375C4⋊Dic3—31no—
376C4⋊Dic3—91no—
377C4⋊Dic3—91no—
378C4⋊Dic3—91no—
379C4⋊Dic3—91no—
380C4⋊Dic3—91no—
381Dic3⋊C4—91no—
382Dic3⋊C4—91no—
383Dic3⋊C4—91no—
384Dic3⋊C4—91no—
385Dic3⋊C4—91no—
386Dic3⋊C4—91no—
387Dic3⋊C4—91no—
388Dic3⋊C4—91no—
389Dic3⋊C4—91no—
390Dic3⋊C4—181no—
391Dic3⋊C4C2×D911yescharacteristic
392Dic3⋊C4C2×D911yescharacteristic
393C4×Dic3—91no—
394C4×Dic3—91no—
395C22×C32—21no—
396C22×C32—21no—
397C22×C32—21no—
398C22×C32—21no—
399C22×C32—21no—
400C22×C32—21no—
401C22×C32C23×D311yescharacteristic
402C2×C3⋊D3—61no—
403C2×C3⋊D3—61no—
404C2×C3⋊D3—61no—
405C2×C3×D3—61no—
406C2×C3×D3—61no—
407C2×C3×D3—61no—
408C32×C4—21no—
409C3⋊Dic3—61no—
410C3⋊Dic3—61no—
411C3⋊Dic3—61no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—61no—
417C3×Dic3—61no—
418C3×Dic3—61no—
419C22×C9—22no—
420C22×C9—21no—
421C22×C9—21no—
422C22×C9—21no—
423C22×C9—21no—
424C22×C9—21no—
425C22×C9—21no—
426C22×C9—21no—
427C22×C9—41no—
428C22×C9—41no—
429C22×C9—41no—
430C22×C9—41no—
431C22×C9—41no—
432C22×C9C23×D311yescharacteristic
433C2×D9—21no—
434C2×D9—21no—
435C2×D9—21no—
436C2×D9—61no—
437C2×D9—61no—
438C2×D9—61no—
439C2×D9—121no—
440C2×D9—121no—
441C2×D9—121no—
442C4×C9—21no—
443C4×C9—41no—
444C4×C9—61no—
445C4×C9—61no—
446C4×C9—61no—
447C4×C9—61no—
448Dic9—21no—
449Dic9—21no—
450Dic9—21no—
451Dic9—62no—
452Dic9—61no—
453Dic9—61no—
454Dic9—61no—
455Dic9—121no—
456Dic9—121no—
457#125—271no—
458#124—271no—
459#124—271no—
460#123—31no—
461#123—271no—
462#123—271no—
463#123—271no—
464C22⋊Q8—271no—
465C22⋊Q8—271no—
466C22⋊Q8—271no—
467C22⋊Q8—271no—
468#121—91no—
469#121—271no—
470#121—271no—
471#121—271no—
472C3×C9#56211yescharacteristic, complemented, Sylow
473C23×C3—21no—
474C23×C3—21no—
475C23×C3—91no—
476C23×C3C22×D911yescharacteristic
477C23×C3C22×D911yescharacteristic
478C23×C3C2×D3211yescharacteristic
479C23×C3C2×D3211yescharacteristic
480C22×D3—31no—
481C22×D3—91no—
482C22×D3—91no—
483C22×D3—181no—
484C3×D4—41no—
485C3×D4—41no—
486C3×D4—42no—
487C3×D4—361no—
488C3×D4—361no—
489C2×C3×C4—21no—
490C2×C3×C4—31no—
491C2×C3×C4—31no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—91no—
495C2×C3×C4—91no—
496C2×C3×C4—91no—
497C2×C3×C4—121no—
498C2×C3×C4—361no—
499C2×C3×C4C22×D911yescharacteristic
500C2×C3×C4C2×D3211yescharacteristic
501#67—121no—
502#67—121no—
503#67—361no—
504#67—361no—
505#67—361no—
506#67—361no—
507#67—361no—
508#67—362no—
509#67—362no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—41no—
514C2×Dic3—91no—
515C2×Dic3—91no—
516C2×Dic3—91no—
517C2×Dic3—91no—
518C2×Dic3—91no—
519C2×Dic3—91no—
520C2×Dic3—181no—
521C2×Dic3—181no—
522C2×Dic3—181no—
523C2×Dic3—361no—
524C2×Dic3—361no—
525C2×Dic3—362no—
526C2×Dic3C22×D911yescharacteristic
527C2×Dic3C22×D911yescharacteristic
528C2×Dic3C22×D911yescharacteristic
529C2×Dic3C22×D911yescharacteristic
530D12—361no—
531C4×D3—121no—
532C4×D3—361no—
533C4×D3—361no—
534Dic6—361no—
535Dic6—361no—
536Dic6—361no—
537Dic6—361no—
538C2×C32—41no—
539C2×C32—41no—
540C2×C32#100411yescharacteristic
541C2×C32#100911yescharacteristic
542C2×C32#101011yescharacteristic
543C3⋊D3—121no—
544C3×D3—121no—
545C2×C9—21no—
546C2×C9—21no—
547C2×C9—21no—
548C2×C9—42no—
549C2×C9—41no—
550C2×C9—41no—
551C2×C9—81no—
552C2×C9#100411yescharacteristic
553C2×C9#100411yescharacteristic
554C2×C9#101011yescharacteristic
555D9—41no—
556D9—121no—
557D9—241no—
558C2×Q8—271no—
559C2×Q8—271no—
560C2×D4—91no—
561C2×D4—91no—
562C2×D4—271no—
563C2×D4—271no—
564C2×D4—271no—
565C2×D4D3×D911yescharacteristic
566C22×C4—31no—
567C22×C4—91no—
568C22×C4—271no—
569C22×C4—271no—
570C4⋊C4—31no—
571C4⋊C4—31no—
572C4⋊C4—91no—
573C4⋊C4—271no—
574C4⋊C4—271no—
575C4⋊C4—271no—
576C4⋊C4—271no—
577C4⋊C4—271no—
578C4⋊C4—271no—
579C4⋊C4—271no—
580C22⋊C4—31no—
581C22⋊C4—31no—
582C22⋊C4—31no—
583C22⋊C4—91no—
584C22⋊C4—91no—
585C22⋊C4—271no—
586C22⋊C4—271no—
587C22⋊C4—271no—
588C22⋊C4—271no—
589C22⋊C4—271no—
590C22⋊C4—271no—
591C22⋊C4—271no—
592C42—271no—
593C22×C3—22no—
594C22×C3—21no—
595C22×C3—21no—
596C22×C3—21no—
597C22×C3—21no—
598C22×C3—21no—
599C22×C3—21no—
600C22×C3—21no—
601C22×C3—21no—
602C22×C3—21no—
603C22×C3—21no—
604C22×C3—21no—
605C22×C3—21no—
606C22×C3—21no—
607C22×C3—41no—
608C22×C3—41no—
609C22×C3—41no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3—181no—
613C22×C3—181no—
614C22×C3—181no—
615C22×C3C23×D911yescharacteristic
616C22×C3C22×D3211yescharacteristic
617C2×D3—61no—
618C2×D3—61no—
619C2×D3—61no—
620C2×D3—181no—
621C2×D3—181no—
622C2×D3—181no—
623C2×D3—181no—
624C2×D3—181no—
625C2×D3—181no—
626C2×D3—361no—
627C2×D3—361no—
628C2×D3—361no—
629C3×C4—21no—
630C3×C4—21no—
631C3×C4—41no—
632C3×C4—61no—
633C3×C4—61no—
634C3×C4—61no—
635C3×C4—61no—
636C3×C4—181no—
637C3×C4—181no—
638C3×C4—181no—
639Dic3—21no—
640Dic3—21no—
641Dic3—21no—
642Dic3—21no—
643Dic3—61no—
644Dic3—61no—
645Dic3—61no—
646Dic3—182no—
647Dic3—181no—
648Dic3—181no—
649Dic3—181no—
650Dic3—181no—
651Dic3—181no—
652Dic3—181no—
653Dic3—361no—
654Dic3—361no—
655C32#566711yescharacteristic
656C9—21no—
657C9#562111yescharacteristic, complemented
658C23—91no—
659C23—271no—
660C23C2×D3×D911yescharacteristic
661C23C2×D3×D911yescharacteristic
662Q8—1081no—
663Q8—1081no—
664D4—41no—
665D4—361no—
666D4—361no—
667D4—1081no—
668D4—1081no—
669D4—1081no—
670C2×C4—31no—
671C2×C4—31no—
672C2×C4—31no—
673C2×C4—31no—
674C2×C4—91no—
675C2×C4—91no—
676C2×C4—91no—
677C2×C4—121no—
678C2×C4—271no—
679C2×C4—271no—
680C2×C4—271no—
681C2×C4—361no—
682C2×C4—1081no—
683C2×C4—1081no—
684C2×C4C2×D3×D911yescharacteristic
685C2×C3—21no—
686C2×C3—21no—
687C2×C3—21no—
688C2×C3—42no—
689C2×C3—41no—
690C2×C3—41no—
691C2×C3—41no—
692C2×C3—41no—
693C2×C3—81no—
694C2×C3—361no—
695C2×C3#6371011yescharacteristic
696C2×C3#6371511yescharacteristic
697C2×C3#6371611yescharacteristic
698C2×C3#6430911yescharacteristic
699C2×C3#6431411yescharacteristic
700C2×C3#6433011yescharacteristic
701D3—121no—
702D3—361no—
703D3—361no—
704D3—721no—
705C22—21no—
706C22—21no—
707C22—21no—
708C22—21no—
709C22—21no—
710C22—21no—
711C22—181no—
712C22—181no—
713C22—181no—
714C22—541no—
715C22—541no—
716C22—541no—
717C22C22×D3×D911yescharacteristic
718C4—21no—
719C4—61no—
720C4—61no—
721C4—61no—
722C4—61no—
723C4—181no—
724C4—181no—
725C4—181no—
726C4—541no—
727C4—541no—
728C4—541no—
729C3—21no—
730C3#1058976911yescharacteristic, complemented
731C3#1059526311yescharacteristic
732C2—41no—
733C2—41no—
734C2—361no—
735C2—1081no—
736C2#1172249411yescharacteristic
737C2#1172250111yescharacteristic
738C2#1172253511yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC2×C3×D4×C9C22
socleC22×C32C23×D3
hypercenterC2×D4D3×D9
hypocenterC3×C9#562
LCSG ▷ C22×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
1. #11721839C2semidirect
2. C3×#63500C2semidirect
3. C9×#935C2semidirect
4. #11721277C2semidirect
5. #11721275C2semidirect
6. #11721267C2semidirect
7. #11721260C2semidirect
8. #11721257C2semidirect
9. #11721256C2semidirect
10. #11721249C2semidirect
11. #11721242C2semidirect
12. #11720995C2semidirect
13. #11720939C2semidirect
14. #11720938C2semidirect
15. #11720916C2semidirect
71. #63500D3semidirect
224. #935D9semidirect
472. C3×C9#562semidirect
657. C9#5621semidirect
730. C3#10589769semidirect

Maximal subgroups

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

subgroupindex
#117218392
C3×#635002
C9×#9352
#117212772
#117212752
#117212672
#117212602
#117212572
#117212562
#117212492
#117212422
#117209952
#117209392
#117209382
#117209162
#105952633
#105897693