Finite Group Databasebeta

← #13148113

Subgroups — #13148113

Order 1728.

734 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721724C211yesmaximal, characteristic, complemented
2C9×#885C211yesmaximal, characteristic, complemented
3C3×#63446C211yesmaximal, characteristic, complemented
4#11721290C211yesmaximal, characteristic, complemented
5#11721281C211yesmaximal, characteristic, complemented
6#11721269C211yesmaximal, characteristic, complemented
7#11721260C211yesmaximal, characteristic, complemented
8#11721031C211yesmaximal, characteristic, complemented
9#11721024C211yesmaximal, characteristic, complemented
10#11721021C211yesmaximal, characteristic, complemented
11#11720984C211yesmaximal, characteristic, complemented
12#11720982C211yesmaximal, characteristic, complemented
13#11720948C211yesmaximal, characteristic, complemented
14#11720944C211yesmaximal, characteristic, complemented
15#11720925C211yesmaximal, characteristic, complemented
16#10594172—31nomaximal
17#10589786—31nomaximal
18C22×C3⋊Dic9C2211yescharacteristic
19C2×#6226C2211yescharacteristic
20C2×C9×#67C2211yescharacteristic
21C2×C3×#611C2211yescharacteristic
22C2×C3×#611C2211yescharacteristic
23C2×C3×D36C2211yescharacteristic
24C2×C3×C4×D9C2211yescharacteristic
25C2×C9×Dic6C2211yescharacteristic
26C2×#6194C2211yescharacteristic
27C2×#6194C2211yescharacteristic
28C2×D3×Dic9C2211yescharacteristic
29C2×Dic3×D9C2211yescharacteristic
30C3×C9×C22⋊C4C2211yescharacteristic
31#88551C2211yescharacteristic
32C4⋊(C3⋊Dic9)C2211yescharacteristic
33#88534C2211yescharacteristic
34#88534C2211yescharacteristic
35C9×#217C2211yescharacteristic
36C9×(C2×D3)⋊C4C2211yescharacteristic
37C9×(C2×D3)⋊C4C2211yescharacteristic
38C3×(C2×D9)⋊C4C2211yescharacteristic
39C4×C9×Dic3C2211yescharacteristic
40C3×Dic9⋊C4C2211yescharacteristic
41(C2×D3)⋊Dic9C2211yescharacteristic
42(C2×D9)⋊Dic3C2211yescharacteristic
43(C2×D9)⋊Dic3C2211yescharacteristic
44(C2×D9)⋊Dic3C2211yescharacteristic
45(C2×D9)⋊Dic3C2211yescharacteristic
46(C2×D9)⋊Dic3C2211yescharacteristic
47Dic3⋊Dic9C2211yescharacteristic
48Dic3⋊Dic9C2211yescharacteristic
49Dic3⋊Dic9C2211yescharacteristic
50#88442C2211yescharacteristic
51#88442C2211yescharacteristic
52Dic9⋊Dic3C2211yescharacteristic
53#64087—31no—
54C3×#885D311yescharacteristic
55C3×#884—31no—
56#63980—31no—
57#63970—31no—
58#63969—31no—
59#63962—31no—
60#63905—31no—
61#63896—31no—
62#63891—31no—
63#63887—31no—
64#63885—31no—
65#63867—31no—
66#63860—31no—
67#63856—31no—
68C9×#124—31no—
69#63508—31no—
70#63508—31no—
71#63501—31no—
72#63501—31no—
73#63448—31no—
74#63448—31no—
75#63446—31no—
76#63446D311yescharacteristic, complemented
77#63445—31no—
78#63445—31no—
79#63440—31no—
80#63440—31no—
81#63440—61no—
82#63437—31no—
83#63432—31no—
84C23×C3×C9C2311yescharacteristic
85C22×D3×C9C2311yescharacteristic
86C22×C3×D9C2311yescharacteristic
87C22×C3×D9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3×C4×C9C2311yescharacteristic
90C2×C3⋊Dic9—41no—
91C2×C3⋊Dic9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94C2×C3⋊Dic9C2311yescharacteristic
95#6226—41no—
96C9×#67—41no—
97C3×#611—41no—
98C3×#611—41no—
99C2×C9×Dic3C2311yescharacteristic
100C2×C9×Dic3C2311yescharacteristic
101C2×C9×Dic3C2311yescharacteristic
102C2×C3×Dic9C2311yescharacteristic
103C2×C3×Dic9C2311yescharacteristic
104C3×D36—41no—
105C3×C4×D9—41no—
106C9×Dic6—41no—
107#6194—41no—
108#6194—41no—
109D3×Dic9—41no—
110Dic3×D9—41no—
111#5684—91no—
112#5621—91no—
113C22×C3⋊Dic3—31no—
114C2×#634—31no—
115C2×C3×#67—31no—
116C2×C3×#67—31no—
117C2×C3×#67C2×D311yescharacteristic
118C2×C3×D12—31no—
119C2×C3×C4×D3—31no—
120C2×C3×Dic6C2×D311yescharacteristic
121C2×#625—31no—
122C2×#625—31no—
123C2×D3×Dic3—31no—
124C2×D3×Dic3—31no—
125C32×C22⋊C4C2×D311yescharacteristic
126#3757—31no—
127C4⋊(C3⋊Dic3)—31no—
128#3750—31no—
129#3750—31no—
130C3×#217C2×D311yescharacteristic
131C3×(C2×D3)⋊C4—31no—
132C3×(C2×D3)⋊C4C2×D311yescharacteristic
133C3×(C2×D3)⋊C4C2×D311yescharacteristic
134C3×Dic3⋊C4—31no—
135C3×C4×Dic3C2×D311yescharacteristic
136#3724—31no—
137#3724—31no—
138Dic3⋊Dic3—31no—
139Dic3⋊Dic3—31no—
140Dic3⋊Dic3—31no—
141Dic3⋊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—
149C2×D4×C9—31no—
150C2×#611—31no—
151C2×#611—31no—
152C2×#611C2×D311yescharacteristic
153C2×#611C2×D311yescharacteristic
154C22×Dic9—31no—
155C22×Dic9—31no—
156C22×Dic9—61no—
157C2×D36C2×D311yescharacteristic
158C2×C4×D9—31no—
159C2×C4×D9C2×D311yescharacteristic
160C2×Dic18—31no—
161C2×Dic18—61no—
162C9×C22⋊C4—21no—
163C9×C22⋊C4—31no—
164C9×C22⋊C4—31no—
165C9×C22⋊C4—31no—
166C9×C22⋊C4C2×D311yescharacteristic
167C42×C9—31no—
168#3676—31no—
169#3676—31no—
170#3676—61no—
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)⋊C4C2×D311yescharacteristic
177C4⋊Dic9—31no—
178C4⋊Dic9—31no—
179C4⋊Dic9—31no—
180C4⋊Dic9—31no—
181C4⋊Dic9—61no—
182Dic9⋊C4—31no—
183Dic9⋊C4—31no—
184Dic9⋊C4—31no—
185Dic9⋊C4—31no—
186Dic9⋊C4—31no—
187Dic9⋊C4—61no—
188Dic9⋊C4—61no—
189Dic9⋊C4C2×D311yescharacteristic
190C22×C3×C9—21no—
191C22×C3×C9—21no—
192C22×C3×C9—21no—
193C22×C3×C9C2411yescharacteristic
194C2×D3×C9—21no—
195C2×D3×C9—21no—
196C2×D3×C9—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⋊Dic9—21no—
206C3⋊Dic9—21no—
207C3⋊Dic9—21no—
208C3⋊Dic9—21no—
209C9×Dic3—21no—
210C9×Dic3—21no—
211C9×Dic3—21no—
212C3×Dic9—21no—
213C3×Dic9—21no—
214C3×#124—31no—
215C3×#121—91no—
216#946—91no—
217#946—91no—
218#939—91no—
219#939—91no—
220#939—91no—
221#939—91no—
222#938—91no—
223#936—91no—
224#935—91no—
225#935—91no—
226#929—91no—
227#924—91no—
228#896—91no—
229#889—91no—
230#886—91no—
231#886—91no—
232#885D911yescharacteristic, complemented
233#884—31no—
234#884—91no—
235#883—91no—
236#883—91no—
237#883—91no—
238#878—91no—
239#878—91no—
240#878—91no—
241#878—91no—
242#878—181no—
243#875—91no—
244#870—91no—
245C23×C32C22×D311yescharacteristic
246C22×C3×D3—31no—
247C22×C3×D3—31no—
248C22×C3×D3C22×D311yescharacteristic
249C2×C32×C4C22×D311yescharacteristic
250C2×C32×C4C22×D311yescharacteristic
251C2×C3⋊Dic3—31no—
252C2×C3⋊Dic3—31no—
253C2×C3⋊Dic3—31no—
254C2×C3⋊Dic3—31no—
255C2×C3⋊Dic3—121no—
256#634—121no—
257C3×#67—41no—
258C3×#67—121no—
259C3×#67—121no—
260C2×C3×Dic3—31no—
261C2×C3×Dic3—31no—
262C2×C3×Dic3C22×D311yescharacteristic
263C2×C3×Dic3C22×D311yescharacteristic
264C2×C3×Dic3C22×D311yescharacteristic
265C3×D12—121no—
266C3×C4×D3—121no—
267C3×Dic6—41no—
268#625—121no—
269#625—121no—
270D3×Dic3—121no—
271D3×Dic3—121no—
272C23×C9—21no—
273C23×C9—31no—
274C23×C9C22×D311yescharacteristic
275C22×D9C22×D311yescharacteristic
276C22×D9C22×D311yescharacteristic
277Q8×C9—121no—
278D4×C9—121no—
279C2×C4×C9—21no—
280C2×C4×C9—21no—
281C2×C4×C9—31no—
282C2×C4×C9—31no—
283C2×C4×C9—31no—
284C2×C4×C9C22×D311yescharacteristic
285C2×C4×C9C22×D311yescharacteristic
286#611—41no—
287#611—41no—
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×Dic9—121no—
299C2×Dic9—121no—
300C2×Dic9—122no—
301C2×Dic9C22×D311yescharacteristic
302C2×Dic9C22×D311yescharacteristic
303D36—41no—
304C4×D9—41no—
305C4×D9—121no—
306Dic18—121no—
307Dic18—122no—
308#562—271noSylow
309C2×C3×C9—41no—
310C2×C3×C9H(5,𝔽2)11yescharacteristic
311C2×C3×C9H(5,𝔽2)11yescharacteristic
312C2×C3×C92−1+411yescharacteristic
313D3×C9—41no—
314C3×D9—41no—
315C3×D9—41no—
316C2×C3×Q8—31no—
317C2×C3×D4—31no—
318C2×C3×D4—91no—
319C2×C3×D4—91no—
320C2×C3×D4—91no—
321C22×C3×C4—91no—
322C2×#67—31no—
323C2×#67—31no—
324C2×#67—91no—
325C2×#67—91no—
326C2×#67—91no—
327C2×#67—91no—
328C2×#67C2×D911yescharacteristic
329C22×Dic3—91no—
330C22×Dic3—91no—
331C22×Dic3—91no—
332C22×Dic3—91no—
333C22×Dic3—181no—
334C2×D12—31no—
335C2×C4×D3—31no—
336C2×C4×D3—91no—
337C2×C4×D3—91no—
338C2×Dic6—91no—
339C2×Dic6—91no—
340C2×Dic6—181no—
341C2×Dic6C2×D911yescharacteristic
342C3×C4⋊C4—91no—
343C3×C22⋊C4—21no—
344C3×C22⋊C4—31no—
345C3×C22⋊C4—31no—
346C3×C22⋊C4—31no—
347C3×C22⋊C4—91no—
348C3×C22⋊C4C2×D911yescharacteristic
349C3×C22⋊C4D3211yescharacteristic
350C3×C42—31no—
351#217—91no—
352#217—91no—
353#217—91no—
354#217—91no—
355#217—91no—
356#217—91no—
357#217—91no—
358#217—91no—
359#217—181no—
360#217C2×D911yescharacteristic
361(C2×D3)⋊C4—31no—
362(C2×D3)⋊C4—91no—
363(C2×D3)⋊C4—91no—
364(C2×D3)⋊C4—91no—
365(C2×D3)⋊C4—91no—
366(C2×D3)⋊C4—91no—
367(C2×D3)⋊C4—91no—
368(C2×D3)⋊C4C2×D911yescharacteristic
369(C2×D3)⋊C4C2×D911yescharacteristic
370C4⋊Dic3—91no—
371C4⋊Dic3—91no—
372C4⋊Dic3—91no—
373C4⋊Dic3—91no—
374C4⋊Dic3—91no—
375C4⋊Dic3—91no—
376C4⋊Dic3—181no—
377Dic3⋊C4—31no—
378Dic3⋊C4—91no—
379Dic3⋊C4—91no—
380Dic3⋊C4—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⋊C4—181no—
392C4×Dic3C2×D911yescharacteristic
393C22×C32—21no—
394C22×C32—21no—
395C22×C32—21no—
396C22×C32C23×D311yescharacteristic
397C2×C3×D3—21no—
398C2×C3×D3—21no—
399C2×C3×D3—21no—
400C2×C3×D3—61no—
401C2×C3×D3—61no—
402C2×C3×D3—61no—
403C2×C3×D3—61no—
404C2×C3×D3—61no—
405C2×C3×D3—61no—
406C32×C4—21no—
407C32×C4—21no—
408C3⋊Dic3—61no—
409C3⋊Dic3—61no—
410C3⋊Dic3—61no—
411C3⋊Dic3—61no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—61no—
416C3×Dic3—61no—
417C22×C9—22no—
418C22×C9—21no—
419C22×C9—21no—
420C22×C9—21no—
421C22×C9—21no—
422C22×C9—41no—
423C22×C9—41no—
424C22×C9—61no—
425C22×C9—61no—
426C22×C9—61no—
427C22×C9C23×D311yescharacteristic
428C2×D9—21no—
429C2×D9—21no—
430C2×D9—21no—
431C2×D9—21no—
432C2×D9—21no—
433C2×D9—21no—
434C4×C9—21no—
435C4×C9—21no—
436C4×C9—41no—
437C4×C9—41no—
438C4×C9—61no—
439C4×C9—61no—
440C4×C9—61no—
441Dic9—21no—
442Dic9—21no—
443Dic9—62no—
444Dic9—61no—
445Dic9—61no—
446Dic9—61no—
447Dic9—61no—
448Dic9—121no—
449Dic9—121no—
450Dic9—121no—
451#125—271no—
452#124—31no—
453#124—271no—
454#123—271no—
455#123—271no—
456#123—271no—
457#123—271no—
458C22⋊Q8—271no—
459C22⋊Q8—271no—
460C22⋊Q8—271no—
461C22⋊Q8—271no—
462#121—91no—
463#121—271no—
464#121—271no—
465#121—271no—
466C3×C9#56211yescharacteristic, complemented, Sylow
467C23×C3—21no—
468C23×C3—31no—
469C23×C3—91no—
470C23×C3—91no—
471C23×C3C22×D911yescharacteristic
472C23×C3C2×D3211yescharacteristic
473C22×D3—31no—
474C22×D3—31no—
475C22×D3C22×D911yescharacteristic
476C3×Q8—121no—
477C3×D4—121no—
478C3×D4—361no—
479C3×D4—361no—
480C3×D4—361no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—31no—
484C2×C3×C4—31no—
485C2×C3×C4—31no—
486C2×C3×C4—91no—
487C2×C3×C4—91no—
488C2×C3×C4—361no—
489C2×C3×C4C22×D911yescharacteristic
490C2×C3×C4C22×D911yescharacteristic
491C2×C3×C4C2×D3211yescharacteristic
492C2×C3×C4C2×D3211yescharacteristic
493#67—41no—
494#67—121no—
495#67—121no—
496#67—361no—
497#67—361no—
498#67—361no—
499#67—361no—
500C2×Dic3—31no—
501C2×Dic3—31no—
502C2×Dic3—91no—
503C2×Dic3—91no—
504C2×Dic3—91no—
505C2×Dic3—91no—
506C2×Dic3—91no—
507C2×Dic3—91no—
508C2×Dic3—91no—
509C2×Dic3—91no—
510C2×Dic3—181no—
511C2×Dic3—181no—
512C2×Dic3—181no—
513C2×Dic3—181no—
514C2×Dic3—361no—
515C2×Dic3—361no—
516C2×Dic3—361no—
517C2×Dic3—361no—
518C2×Dic3—362no—
519C2×Dic3C22×D911yescharacteristic
520C2×Dic3C22×D911yescharacteristic
521C2×Dic3C22×D911yescharacteristic
522D12—121no—
523C4×D3—121no—
524C4×D3—361no—
525C4×D3—361no—
526Dic6—41no—
527Dic6—361no—
528Dic6—361no—
529Dic6—362no—
530C2×C32—41no—
531C2×C32#100411yescharacteristic
532C2×C32#100911yescharacteristic
533C2×C32#101011yescharacteristic
534C3×D3—41no—
535C3×D3—121no—
536C3×D3—121no—
537C2×C9—21no—
538C2×C9—21no—
539C2×C9—21no—
540C2×C9—42no—
541C2×C9—41no—
542C2×C9—121no—
543C2×C9#100411yescharacteristic
544C2×C9#100411yescharacteristic
545C2×C9#101011yescharacteristic
546D9—41no—
547D9—41no—
548C2×Q8—31no—
549C2×Q8—271no—
550C2×D4—31no—
551C2×D4—91no—
552C2×D4—91no—
553C2×D4—91no—
554C2×D4—271no—
555C2×D4—271no—
556C22×C4—91no—
557C22×C4—271no—
558C22×C4—271no—
559C22×C4—271no—
560C4⋊C4—91no—
561C4⋊C4—271no—
562C4⋊C4—271no—
563C4⋊C4—271no—
564C4⋊C4—271no—
565C4⋊C4—271no—
566C4⋊C4—271no—
567C4⋊C4—271no—
568C4⋊C4—271no—
569C4⋊C4—271no—
570C22⋊C4—31no—
571C22⋊C4—31no—
572C22⋊C4—31no—
573C22⋊C4—91no—
574C22⋊C4—271no—
575C22⋊C4—271no—
576C22⋊C4—271no—
577C22⋊C4—271no—
578C22⋊C4—271no—
579C22⋊C4—271no—
580C22⋊C4—271no—
581C22⋊C4D3×D911yescharacteristic
582C42—31no—
583C22×C3—22no—
584C22×C3—21no—
585C22×C3—21no—
586C22×C3—21no—
587C22×C3—21no—
588C22×C3—21no—
589C22×C3—21no—
590C22×C3—21no—
591C22×C3—41no—
592C22×C3—41no—
593C22×C3—61no—
594C22×C3—61no—
595C22×C3—61no—
596C22×C3—181no—
597C22×C3—181no—
598C22×C3—181no—
599C22×C3—181no—
600C22×C3—181no—
601C22×C3—181no—
602C22×C3C23×D911yescharacteristic
603C22×C3C22×D3211yescharacteristic
604C2×D3—21no—
605C2×D3—21no—
606C2×D3—21no—
607C2×D3—61no—
608C2×D3—61no—
609C2×D3—61no—
610C2×D3—61no—
611C2×D3—61no—
612C2×D3—61no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—41no—
618C3×C4—41no—
619C3×C4—61no—
620C3×C4—61no—
621C3×C4—61no—
622C3×C4—181no—
623C3×C4—181no—
624Dic3—21no—
625Dic3—21no—
626Dic3—21no—
627Dic3—61no—
628Dic3—61no—
629Dic3—182no—
630Dic3—181no—
631Dic3—181no—
632Dic3—181no—
633Dic3—181no—
634Dic3—181no—
635Dic3—181no—
636Dic3—181no—
637Dic3—181no—
638Dic3—361no—
639Dic3—361no—
640Dic3—361no—
641C32#568411yescharacteristic
642C9—21no—
643C9#562111yescharacteristic, complemented
644C23—31no—
645C23—91no—
646C23—91no—
647C23C2×D3×D911yescharacteristic
648Q8—121no—
649Q8—1081no—
650D4—121no—
651D4—361no—
652D4—361no—
653D4—361no—
654D4—1081no—
655D4—1081no—
656C2×C4—31no—
657C2×C4—31no—
658C2×C4—31no—
659C2×C4—91no—
660C2×C4—91no—
661C2×C4—271no—
662C2×C4—271no—
663C2×C4—271no—
664C2×C4—271no—
665C2×C4—361no—
666C2×C4—1081no—
667C2×C4—1081no—
668C2×C4—1081no—
669C2×C4C2×D3×D911yescharacteristic
670C2×C4C2×D3×D911yescharacteristic
671C2×C3—21no—
672C2×C3—21no—
673C2×C3—21no—
674C2×C3—42no—
675C2×C3—41no—
676C2×C3—41no—
677C2×C3—121no—
678C2×C3—361no—
679C2×C3—361no—
680C2×C3#6371011yescharacteristic
681C2×C3#6371511yescharacteristic
682C2×C3#6371611yescharacteristic
683C2×C3#6429811yescharacteristic
684C2×C3#6431311yescharacteristic
685C2×C3#6431411yescharacteristic
686D3—41no—
687D3—121no—
688D3—121no—
689C22—21no—
690C22—21no—
691C22—21no—
692C22—61no—
693C22—61no—
694C22—61no—
695C22—181no—
696C22—181no—
697C22—181no—
698C22—181no—
699C22—181no—
700C22—181no—
701C22C22×D3×D911yescharacteristic
702C4—21no—
703C4—21no—
704C4—61no—
705C4—61no—
706C4—61no—
707C4—181no—
708C4—181no—
709C4—541no—
710C4—541no—
711C4—541no—
712C4—541no—
713C3—21no—
714C3#1058978611yescharacteristic, complemented
715C3#1059417211yescharacteristic
716C2—41no—
717C2—121no—
718C2—361no—
719C2—361no—
720C2#1172246511yescharacteristic
721C2#1172249911yescharacteristic
722C2#1172250111yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C22⋊C4C22
socleC22×C32C23×D3
hypercenterC22⋊C4D3×D9
hypocenterC3×C9#562
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. #11721724C2semidirect
2. C9×#885C2semidirect
3. C3×#63446C2semidirect
4. #11721290C2semidirect
5. #11721281C2semidirect
6. #11721269C2semidirect
7. #11721260C2semidirect
8. #11721031C2semidirect
9. #11721024C2semidirect
10. #11721021C2semidirect
11. #11720984C2semidirect
12. #11720982C2semidirect
13. #11720948C2semidirect
14. #11720944C2semidirect
15. #11720925C2semidirect
76. #63446D3semidirect
232. #885D9semidirect
466. C3×C9#562semidirect
643. C9#5621semidirect
714. C3#10589786semidirect

Maximal subgroups

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

subgroupindex
#117217242
C9×#8852
C3×#634462
#117212902
#117212812
#117212692
#117212602
#117210312
#117210242
#117210212
#117209842
#117209822
#117209482
#117209442
#117209252
#105941723
#105897863