Finite Group Databasebeta

← #29686455

Subgroups — #29686455

Order 15616.

922 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21455272C211yesmaximal, characteristic
2C2×#16839880C211yesmaximal, characteristic, complemented
3C2×#16839877C211yesmaximal, characteristic, complemented
4#21454529C211yesmaximal, characteristic, complemented
5#21454241C211yesmaximal, characteristic, complemented
6#21446736C211yesmaximal, characteristic, complemented
7#21446593C211yesmaximal, characteristic, complemented
8#21446469C211yesmaximal, characteristic, complemented
9#21446465C211yesmaximal, characteristic, complemented
10#21446147C211yesmaximal, characteristic, complemented
11#21446143C211yesmaximal, characteristic, complemented
12#21445838C211yesmaximal, characteristic, complemented
13C8×#11758196C211yesmaximal, characteristic, complemented
14#21445658C211yesmaximal, characteristic, complemented
15C61×#1764C211yesmaximal, characteristic, complemented
16C2×#14519799C2211yescharacteristic
17C2×#14519797C2211yescharacteristic
18C2×#14519785C2211yescharacteristic
19C2×#14519783C2211yescharacteristic
20C2×#14519783C2211yescharacteristic
21#16840308C2211yescharacteristic
22#16840230C2211yescharacteristic
23#16839987C411yescharacteristic, complemented
24#16839983C411yescharacteristic, complemented
25#16839980C411yescharacteristic, complemented
26#16839976C411yescharacteristic, complemented
27#16839971C411yescharacteristic, complemented
28#16839966C411yescharacteristic, complemented
29#16839961C411yescharacteristic, complemented
30#16839956C411yescharacteristic, complemented
31#16839880—24no—
32#16839877—24no—
33#16839838—21no—
34#16839838—21no—
35C8×C22⋊D61—21no—
36C8×C22⋊D61—21no—
37C2×#14519713C2211yescharacteristic
38C2×#14519712C2211yescharacteristic
39#16839785C2211yescharacteristic
40C2×#14519706C2211yescharacteristic
41C2×#14519705C2211yescharacteristic
42C2×#14519705C2211yescharacteristic
43C2×#14519704C2211yescharacteristic
44C2×#14519703C2211yescharacteristic
45C2×#14519703C2211yescharacteristic
46#16839756C2211yescharacteristic
47#16839730C2211yescharacteristic
48#16839729C2211yescharacteristic
49#16839719—21no—
50#16839718C2211yescharacteristic
51#16839716—21no—
52#16839714—21no—
53M16×Dic61C2211yescharacteristic
54C2×C8×Dic61C2211yescharacteristic
55C2×C8×Dic61C2211yescharacteristic
56C4×C8×D61—21no—
57C4×#11758196C2211yescharacteristic
58#16839526C2211yescharacteristic
59#16839521C2211yescharacteristic
60#16839517C2211yescharacteristic
61#16839516C2211yescharacteristic
62C2×#131×C61C2211yescharacteristic
63C2×#104×C61C2211yescharacteristic
64C61×#416C2211yescharacteristic
65C61×#405C2211yescharacteristic
66C2×C4×C8×C61C2211yescharacteristic
67C61×#341C2211yescharacteristic
68C61×#339C2211yescharacteristic
69C2×#11758222C2311yescharacteristic
70C2×#11758222C2311yescharacteristic
71#14519799—22no—
72#14519799—22no—
73#14519797—22no—
74#14519797—22no—
75C2×Dic244C2×C411yescharacteristic
76C2×#11758202C2×C411yescharacteristic
77C2×#11758190C2×C411yescharacteristic
78C2×#11758190C2×C411yescharacteristic
79C2×#11758200C2×C411yescharacteristic
80C2×#11758201C2×C411yescharacteristic
81C2×D488C2×C411yescharacteristic
82C2×#11758199C2×C411yescharacteristic
83#14519785—22no—
84#14519785—22no—
85#14519783—22no—
86#14519783—22no—
87#14519783—22no—
88#14519783D414yescomplemented
89C2×#11758194C2311yescharacteristic
90C2×#11758194C2311yescharacteristic
91C2×#11758189—21no—
92C2×#11758189—21no—
93C2×#11758189—21no—
94C22×#92418C2311yescharacteristic
95C22×#92418C2311yescharacteristic
96C2×C8×D61—21no—
97C2×C8×D61—21no—
98C2×C8×D61—21no—
99#14519775C2×C411yescharacteristic
100#14519773C2×C411yescharacteristic
101#14519766C2×C411yescharacteristic
102#14519764C2×C411yescharacteristic
103#14519749—21no—
104#14519749—21no—
105#14519742C2×C411yescharacteristic
106#14519742C2×C411yescharacteristic
107#14519739C2×C411yescharacteristic
108#14519739C2×C411yescharacteristic
109C4×C22⋊D61—21no—
110C4×C22⋊D61—21no—
111#14519737—21no—
112#14519737—21no—
113#14519734—21no—
114C2×#11758196—21no—
115C2×C4×Dic61C2311yescharacteristic
116C2×C4×Dic61C2311yescharacteristic
117C42×D61—21no—
118#14519713—22no—
119#14519712—22no—
120#14519706—21no—
121#14519706—21no—
122#14519706C2×C411yescharacteristic
123#14519706C2×C411yescharacteristic
124#14519706C2×C411yescharacteristic
125#14519706C2×C411yescharacteristic
126#14519705—22no—
127#14519705—22no—
128#14519704—22no—
129#14519703—22no—
130#14519703—22no—
131#14519700C2×C411yescharacteristic
132#14519700C2×C411yescharacteristic
133#14519697C2×C411yescharacteristic
134#14519697C2×C411yescharacteristic
135C22⋊#92418—21no—
136C22⋊#92418—21no—
137#14519689—21no—
138#14519689—21no—
139#14519688—21no—
140#14519687—21no—
141C4×#92418—21no—
142C8×Dic61—22no—
143C8×Dic61—21no—
144C8×Dic61D411yescharacteristic
145C8×Dic61D411yescharacteristic
146C8×Dic61D411yescharacteristic
147C8×Dic61D411yescharacteristic
148#14519684—21no—
149C2×#41×C61C2311yescharacteristic
150#131×C61—22no—
151#131×C61—22no—
152C2×M16×C61—21no—
153C2×M16×C61C2311yescharacteristic
154C2×M16×C61C2311yescharacteristic
155C22×C8×C61—21no—
156C22×C8×C61C2311yescharacteristic
157C22×C8×C61C2311yescharacteristic
158#117×C61C2311yescharacteristic
159C2×C42×C61C2311yescharacteristic
160#104×C61—22no—
161#103×C61C2×C411yescharacteristic
162#103×C61C2×C411yescharacteristic
163#102×C61C2×C411yescharacteristic
164#102×C61C2×C411yescharacteristic
165#97×C61—21no—
166C4×C8×C61—21no—
167C4×C8×C61—22no—
168#41×C61—21no—
169#41×C61—21no—
170#41×C61—21no—
171#41×C61—21no—
172C2×Q8×C61C22×C411yescharacteristic
173C2×D4×C61—21no—
174C2×D4×C61C22×C411yescharacteristic
175C22×C4×C61—21no—
176C22×C4×C61—21no—
177C22×C4×C61C2411yescharacteristic
178C2×C22⋊D61—21no—
179C2×C22⋊D61—21no—
180C2×C22⋊D61—21no—
181C2×C22⋊D61—21no—
182C22×Dic61—21no—
183C22×Dic61#4111yescharacteristic
184C22×Dic61#4111yescharacteristic
185#11758222—21no—
186#11758222—21no—
187#11758222—21no—
188#11758222—21no—
189#11758222—21no—
190#11758222—21no—
191#11758222C2×D412yes—
192#11758222#4112yes—
193C2×D244C22×C411yescharacteristic
194C2×D244C22×C411yescharacteristic
195C2×C4×D61—21no—
196C2×C4×D61—21no—
197C2×C4×D61—21no—
198C2×C4×D61—21no—
199C2×Dic122C22×C411yescharacteristic
200C2×Dic122C22×C411yescharacteristic
201M16×C61—21no—
202M16×C61—21no—
203M16×C61—21no—
204M16×C61—42no—
205M16×C61#4112yes—
206C2×C8×C61—21no—
207C2×C8×C61—21no—
208C2×C8×C61—21no—
209C2×C8×C61—21no—
210C2×C8×C61—42no—
211C2×C8×C61C22×C411yescharacteristic
212C2×C8×C61C22×C411yescharacteristic
213C2×C8×C61C2×D412yes—
214C2×C8×C61C2×D411yescharacteristic
215C2×C8×C61C2×D411yescharacteristic
216C2×C8×C61#4112yes—
217C4⋊C4×C61C22×C411yescharacteristic
218C4⋊C4×C61C22×C411yescharacteristic
219C22⋊C4×C61—21no—
220C42×C61—21no—
221C42×C61—21no—
222C42×C61—21no—
223C22⋊Dic61—21no—
224C22⋊Dic61—21no—
225#11758202—22no—
226#11758201—22no—
227#11758200—22no—
228#11758199—22no—
229#11758198—21no—
230#11758198—21no—
231#11758198—21no—
232#11758198—21no—
233#11758196—24no—
234#11758196—21no—
235#11758196—21no—
236#11758196—21no—
237#11758196—21no—
238C4×Dic61—21no—
239C4×Dic61—21no—
240C4×Dic61—21no—
241C4×Dic61—21no—
242C4×Dic61C22×C411yescharacteristic
243C4×Dic61C22×C411yescharacteristic
244C4×Dic61C2×D411yescharacteristic
245C4×Dic61C2×D411yescharacteristic
246#11758194—21no—
247#11758194—21no—
248#11758194—21no—
249#11758194C2×D412yes—
250C2×#92418—21no—
251C2×#92418—21no—
252C2×#92418—21no—
253C2×#92418—21no—
254C2×#92418—21no—
255C2×#92418—21no—
256C2×#92418C22×C411yescharacteristic
257C2×#92418C22×C411yescharacteristic
258C2×#92418C2×D411yescharacteristic
259C2×#92418C2×D411yescharacteristic
260Dic244—22no—
261D488—22no—
262#11758190—22no—
263#11758190—22no—
264#11758189—24no—
265#11758189—24no—
266#11758189—42no—
267C8×D61—24no—
268C8×D61—24no—
269C8×D61—42no—
270C23×C61—21no—
271C23×C61C2×#4111yescharacteristic
272C22×D61—21no—
273C22×D61—21no—
274Q8×C61—21no—
275Q8×C61—21no—
276D4×C61—21no—
277D4×C61—21no—
278D4×C61—41no—
279D4×C61—41no—
280C2×C4×C61—22no—
281C2×C4×C61—21no—
282C2×C4×C61—21no—
283C2×C4×C61—21no—
284C2×C4×C61—41no—
285C2×C4×C61—41no—
286C2×C4×C61—41no—
287C2×C4×C61—41no—
288C2×C4×C61C23×C411yescharacteristic
289C2×C4×C61C22×D411yescharacteristic
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C2×#4111yescharacteristic
292C2×C4×C61C2×#4111yescharacteristic
293C2×C4×C61C2×#4111yescharacteristic
294C22⋊D61—22no—
295C22⋊D61—22no—
296C22⋊D61—42no—
297C22⋊D61—41no—
298C22⋊D61—41no—
299C22⋊D61—42no—
300C2×Dic61—21no—
301C2×Dic61—22no—
302C2×Dic61—22no—
303C2×Dic61—21no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307C2×Dic61C4×D411yescharacteristic
308C2×Dic61C4×D411yescharacteristic
309C2×Dic61C4×D411yescharacteristic
310C2×Dic61C4×D411yescharacteristic
311D244—21no—
312D244—21no—
313D244—21no—
314D244C4×D412yes—
315C4×D61—22no—
316C4×D61—22no—
317C4×D61—42no—
318C4×D61—41no—
319C4×D61—41no—
320C4×D61—42no—
321Dic122—21no—
322Dic122—21no—
323Dic122—21no—
324Dic122C4×D412yes—
325C8×C61—21no—
326C8×C61—21no—
327C8×C61—22no—
328C8×C61—41no—
329C8×C61#12112yes—
330C8×C61#12112yes—
331#92418—21no—
332#92418—21no—
333#92418—22no—
334#92418—21no—
335#92418—21no—
336#92418—41no—
337#21517—611nomaximal, Sylow
338C22×C61—21no—
339C22×C61—21no—
340C22×C61—41no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61C2×C4×D411yescharacteristic
344C22×C61#52911yescharacteristic
345C22×C61#53211yescharacteristic
346C2×D61—22no—
347C2×D61—41no—
348C2×D61—41no—
349C2×D61—41no—
350C2×D61—41no—
351C2×D61—41no—
352C4×C61—42no—
353C4×C61—41no—
354C4×C61—41no—
355C4×C61—41no—
356C4×C61C2×C4×D411yescharacteristic
357C4×C61C4×#4111yescharacteristic
358C4×C61C2×#12111yescharacteristic
359C4×C61#52511yescharacteristic
360Dic61—21no—
361Dic61—21no—
362Dic61—21no—
363Dic61—22no—
364Dic61—42no—
365Dic61—41no—
366Dic61#44312yescomplemented
367#3035—611no—
368C2×#443—611no—
369C2×#443—611no—
370#2931—611no—
371C4×#131—611no—
372#1980—611no—
373#1950—611no—
374#1929—611no—
375#1929—611no—
376#1876—611no—
377#1876—611no—
378#1806—611no—
379C8×C4⋊C4—611no—
380#1764—611no—
381#1764D6111yescharacteristic, complemented
382C2×C61—21no—
383C2×C61—21no—
384C2×C61—81no—
385C2×C61C4×#12111yescharacteristic
386C2×C61C2×#44311yescharacteristic
387C2×C61#295511yescharacteristic
388D61—42no—
389D61—81no—
390C2×#135—611no—
391C2×#135—611no—
392C2×#131—611no—
393C2×#131—611no—
394C2×#131—611no—
395C2×#131C2×D6111yescharacteristic
396#532—611no—
397C4×#41—611no—
398#464—611no—
399#464—611no—
400#463—611no—
401#463—611no—
402#462—611no—
403#461—611no—
404#460—611no—
405#459—611no—
406#443—1224no—
407#443—1224no—
408#436—1221no—
409#436—1221no—
410C8×D4—1221no—
411C8×D4—1221no—
412C2×#108—611no—
413C2×#108—611no—
414#423—611no—
415C2×C4⋊C8—611no—
416C2×#104—611no—
417C2×#104—611no—
418C2×#104—611no—
419C2×#104—611no—
420C2×#104—611no—
421C2×#104C2×D6111yescharacteristic
422#416—611no—
423#416C2×D6111yescharacteristic
424#408—611no—
425#408—611no—
426#405—611no—
427#405—1221no—
428#405—1221no—
429#405C2×D6111yescharacteristic
430C4×M16—611no—
431C4×M16—1221no—
432C2×C4×C8—611no—
433C2×C4×C8—611no—
434C2×C4×C8—1221no—
435C2×C4×C8C2×D6111yescharacteristic
436C4×C4⋊C4—611no—
437#341—611no—
438#341C2×D6111yescharacteristic
439#339—611no—
440#339C2×D6111yescharacteristic
441#336—611no—
442#336—611no—
443C61#2151711yescharacteristic, complemented, Sylow
444C2×#41—611no—
445C2×#41—611no—
446C2×#41C22×D6111yescharacteristic
447#135—1222no—
448#135—1222no—
449#135—1222no—
450#135—1222no—
451C2×Q16—611no—
452C2×Q16—611no—
453C2×SD16—611no—
454C2×SD16—611no—
455C2×SD16—611no—
456C2×SD16—611no—
457C2×D8—611no—
458C2×D8—611no—
459#131—22no—
460#131—22no—
461#131—614no—
462#131—1222no—
463#131—1222no—
464#131—1222no—
465#131—1222no—
466#131—1222no—
467C2×M16—21no—
468C2×M16—611no—
469C2×M16—611no—
470C2×M16—1221no—
471C2×M16—1221no—
472C2×M16—1221no—
473C2×M16C22×D6111yescharacteristic
474C2×M16C22×D6111yescharacteristic
475C22×C8—21no—
476C22×C8—611no—
477C22×C8—611no—
478C22×C8—1221no—
479C22×C8—1221no—
480C22×C8—1221no—
481C22×C8C22×D6111yescharacteristic
482C22×C8C22×D6111yescharacteristic
483C4⋊Q8—611no—
484#127—611no—
485#124—611no—
486#124—611no—
487#121—1221no—
488#121—1221no—
489C4×Q8—611no—
490C4×Q8—611no—
491C4×D4—611no—
492C4×D4—611no—
493C4×D4—1221no—
494C4×D4—1221no—
495C4×D4—1221no—
496C4×D4—1221no—
497#117—1221no—
498#117C22×D6111yescharacteristic
499C2×C4⋊C4—1221no—
500C2×C42—611no—
501C2×C42—611no—
502C2×C42—1221no—
503C2×C42C22×D6111yescharacteristic
504#108—1222no—
505#108—1222no—
506C4⋊C8—611no—
507C4⋊C8—611no—
508C4⋊C8—611no—
509C4⋊C8—611no—
510C4⋊C8—1221no—
511C4⋊C8—1221no—
512#104—22no—
513#104—1222no—
514#104—1222no—
515#104—1222no—
516#104—1222no—
517#104—1222no—
518#103—611no—
519#103—611no—
520#103C4×D6111yescharacteristic
521#103C4×D6111yescharacteristic
522#102—611no—
523#102—611no—
524#102C4×D6111yescharacteristic
525#102C4×D6111yescharacteristic
526C22⋊C8—1221no—
527C22⋊C8—1221no—
528C22⋊C8—1221no—
529C22⋊C8—1221no—
530#97—21no—
531#97—1221no—
532#97—1221no—
533C4×C8—22no—
534C4×C8—21no—
535C4×C8—611no—
536C4×C8—611no—
537C4×C8—611no—
538C4×C8—611no—
539C4×C8—1221no—
540C4×C8—1221no—
541C4×C8—1222no—
542#95—1221no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—612no—
548#41—612no—
549#41—1221no—
550#41—1221no—
551#41—1221no—
552#41—1221no—
553#41—1221no—
554#41—1221no—
555C2×Q8—611no—
556C2×Q8—611no—
557C2×Q8C2×C4×D6111yescharacteristic
558C2×D4—21no—
559C2×D4—611no—
560C2×D4—611no—
561C2×D4—1221no—
562C2×D4—1221no—
563C2×D4—1221no—
564C2×D4—1221no—
565C2×D4C2×C4×D6111yescharacteristic
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—611no—
569C22×C4—611no—
570C22×C4—1221no—
571C22×C4—1221no—
572C22×C4—1221no—
573C22×C4—1221no—
574C22×C4—1221no—
575C22×C4C23×D6111yescharacteristic
576Q16—1222no—
577Q16—1222no—
578SD16—1222no—
579SD16—1222no—
580SD16—1222no—
581SD16—1222no—
582D8—1222no—
583D8—1222no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—42no—
588M16—612no—
589M16—1224no—
590M16—1221no—
591M16—1224no—
592M16—1221no—
593M16—1221no—
594M16—2442no—
595M16#1175822212yes—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—42no—
601C2×C8—611no—
602C2×C8—611no—
603C2×C8—611no—
604C2×C8—611no—
605C2×C8—1224no—
606C2×C8—1221no—
607C2×C8—1221no—
608C2×C8—1221no—
609C2×C8—1221no—
610C2×C8—1221no—
611C2×C8—1224no—
612C2×C8—1221no—
613C2×C8—2442no—
614C2×C8C2×C4×D6111yescharacteristic
615C2×C8C2×C4×D6111yescharacteristic
616C2×C8#1175822212yes—
617C2×C8D4×D6112yes—
618C2×C8D4×D6111yescharacteristic
619C2×C8D4×D6111yescharacteristic
620C4⋊C4—1221no—
621C4⋊C4—1221no—
622C4⋊C4—1221no—
623C4⋊C4—1221no—
624C4⋊C4—1224no—
625C4⋊C4C2×C4×D6111yescharacteristic
626C4⋊C4C2×C4×D6111yescharacteristic
627C22⋊C4—21no—
628C22⋊C4—1221no—
629C22⋊C4—1221no—
630C22⋊C4—1221no—
631C22⋊C4—1221no—
632C22⋊C4—1221no—
633C22⋊C4—1221no—
634C42—21no—
635C42—21no—
636C42—21no—
637C42—611no—
638C42—611no—
639C42—611no—
640C42—611no—
641C42—1221no—
642C42—1221no—
643C42—1221no—
644C42—1221no—
645C23—21no—
646C23—1221no—
647C23—1221no—
648C23#41×D6111yescharacteristic
649Q8—21no—
650Q8—21no—
651Q8—612no—
652Q8—1221no—
653Q8—1221no—
654Q8—1221no—
655D4—21no—
656D4—21no—
657D4—41no—
658D4—41no—
659D4—612no—
660D4—1222no—
661D4—1222no—
662D4—1221no—
663D4—1221no—
664D4—1221no—
665D4—2442no—
666D4—2442no—
667D4—2441no—
668D4—2441no—
669C2×C4—22no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—611no—
678C2×C4—611no—
679C2×C4—611no—
680C2×C4—611no—
681C2×C4—1222no—
682C2×C4—1221no—
683C2×C4—1222no—
684C2×C4—1222no—
685C2×C4—1222no—
686C2×C4—1221no—
687C2×C4—2442no—
688C2×C4—2442no—
689C2×C4—2441no—
690C2×C4—2441no—
691C2×C4—2441no—
692C2×C4—2441no—
693C2×C4—2441no—
694C2×C4C22×C4×D6111yescharacteristic
695C2×C4C2×D4×D6111yescharacteristic
696C2×C4C2×D4×D6111yescharacteristic
697C2×C4#41×D6111yescharacteristic
698C2×C4C2×#1175822211yescharacteristic
699C2×C4C2×#1175822211yescharacteristic
700C8—21no—
701C8—21no—
702C8—22no—
703C8—41no—
704C8—1221no—
705C8—1221no—
706C8—1222no—
707C8—1221no—
708C8—1221no—
709C8—2441no—
710C8#1451975012yes—
711C8#1451975012yes—
712C22—21no—
713C22—21no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—1222no—
718C22—2441no—
719C22—2441no—
720C22—2441no—
721C22—2441no—
722C22—2441no—
723C22C4×D4×D6111yescharacteristic
724C22#1684029011yescharacteristic
725C22#1684030911yescharacteristic
726C4—42no—
727C4—41no—
728C4—41no—
729C4—41no—
730C4—612no—
731C4—1221no—
732C4—1221no—
733C4—1221no—
734C4—1222no—
735C4—2442no—
736C4—2441no—
737C4C4×D4×D6111yescharacteristic
738C4C4×#1175822211yescharacteristic
739C4C2×#1451975011yescharacteristic
740C4#1684027111yescharacteristic
741C2—21no—
742C2—21no—
743C2—81no—
744C2—4881no—
745C2—2442no—
746C2C4×#1451975011yescharacteristic
747C2#443×D6111yescharacteristic
748C2#2145471711yescharacteristic
subgroupG/H
centerC2×C8D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1764C2
socleC22×C61C2×C4×D4
prime radical#21455272C2
cosocleC22×C4×C61C24
hypercenter#1764D61
hypocenterC61#21517
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C8 ◁ C22×C8 ◁ #1764

Complements

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

NH ≅ G/Ntype
2. C2×#16839880C2semidirect
3. C2×#16839877C2semidirect
4. #21454529C2semidirect
5. #21454241C2semidirect
6. #21446736C2semidirect
7. #21446593C2semidirect
8. #21446469C2semidirect
9. #21446465C2semidirect
10. #21446147C2semidirect
11. #21446143C2semidirect
12. #21445838C2semidirect
13. C8×#11758196C2semidirect
14. #21445658C2semidirect
15. C61×#1764C2semidirect
23. #16839987C4semidirect
24. #16839983C4semidirect
25. #16839980C4semidirect
26. #16839976C4semidirect
27. #16839971C4semidirect
28. #16839966C4semidirect
29. #16839961C4semidirect
30. #16839956C4semidirect
88. #14519783D4semidirect
366. Dic61#443semidirect
381. #1764D61semidirect
443. C61#21517semidirect

Maximal subgroups

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

subgroupindex
#214552722
C2×#168398802
C2×#168398772
#214545292
#214542412
#214467362
#214465932
#214464692
#214464652
#214461472
#214461432
#214458382
C8×#117581962
#214456582
C61×#17642
#2151761