Finite Group Databasebeta

← #29702545

Subgroups — #29702545

Order 15616.

864 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21455276C211yesmaximal, characteristic
2C2×#16839885C211yesmaximal, characteristic, complemented
3C2×#16839880C211yesmaximal, characteristic, complemented
4#21454562C211yesmaximal, characteristic, complemented
5#21454384C211yesmaximal, characteristic, complemented
6#21446651C211yesmaximal, characteristic, complemented
7#21446595C211yesmaximal, characteristic, complemented
8#21446530C211yesmaximal, characteristic, complemented
9#21446523C211yesmaximal, characteristic, complemented
10#21446145C211yesmaximal, characteristic, complemented
11#21446145C211yesmaximal, characteristic, complemented
12#21446097C211yesmaximal, characteristic, complemented
13#21446097C211yesmaximal, characteristic, complemented
14#21445630C211yesmaximal, characteristic, complemented
15C61×#1768C211yesmaximal, characteristic, complemented
16C2×#14519799C2211yescharacteristic
17C2×#14519799C2211yescharacteristic
18C2×#14519783C2211yescharacteristic
19C2×#14519783C2211yescharacteristic
20C2×#14519783C2211yescharacteristic
21C2×#14519783C2211yescharacteristic
22#16840312C2211yescharacteristic
23C4×#11758222C2211yescharacteristic
24#16839985C411yescharacteristic, complemented
25#16839985C411yescharacteristic, complemented
26#16839978C411yescharacteristic, complemented
27#16839978C411yescharacteristic, complemented
28#16839973C411yescharacteristic, complemented
29#16839968C411yescharacteristic, complemented
30#16839963C411yescharacteristic, complemented
31#16839958C411yescharacteristic, complemented
32#16839885—24no—
33#16839880—24no—
34#16839839—21no—
35#16839832—21no—
36#16839832—21no—
37#16839827—21no—
38C2×#14519713C2211yescharacteristic
39C2×#14519713C2211yescharacteristic
40#16839788C2211yescharacteristic
41#16839788C2211yescharacteristic
42#16839787—21no—
43#16839787—21no—
44#16839786C2211yescharacteristic
45#16839784—21no—
46C4⋊C8×D61—21no—
47C2×#14519705C2211yescharacteristic
48C2×#14519705C2211yescharacteristic
49C2×#14519705C2211yescharacteristic
50C2×#14519705C2211yescharacteristic
51C2×#14519705C2211yescharacteristic
52C2×#14519705C2211yescharacteristic
53#16839759C2211yescharacteristic
54#16839759C2211yescharacteristic
55#16839728C2211yescharacteristic
56#16839728C2211yescharacteristic
57C4×#11758194C2211yescharacteristic
58#16839527C2211yescharacteristic
59#16839527C2211yescharacteristic
60#16839522C2211yescharacteristic
61#16839522C2211yescharacteristic
62C2×C4⋊C8×C61C2211yescharacteristic
63C2×C4⋊C8×C61C2211yescharacteristic
64C2×#97×C61C2211yescharacteristic
65C2×C4×C8×C61C2211yescharacteristic
66C61×#376C2211yescharacteristic
67C61×#336C2211yescharacteristic
68C61×#336C2211yescharacteristic
69C2×#11758222C2311yescharacteristic
70C2×#11758222C2311yescharacteristic
71C2×#11758222C2311yescharacteristic
72#14519799—22no—
73#14519799—22no—
74#14519799—22no—
75#14519799—22no—
76C2×Dic244C2×C411yescharacteristic
77C2×Dic244C2×C411yescharacteristic
78C2×#11758190C2×C411yescharacteristic
79C2×#11758190C2×C411yescharacteristic
80C2×#11758190C2×C411yescharacteristic
81C2×#11758190C2×C411yescharacteristic
82C2×D488C2×C411yescharacteristic
83C2×D488C2×C411yescharacteristic
84#14519783—22no—
85#14519783—22no—
86#14519783—22no—
87#14519783—22no—
88#14519783—41no—
89#14519783—41no—
90#14519783—41no—
91#14519783—41no—
92C2×#11758194C2311yescharacteristic
93C2×#11758194C2311yescharacteristic
94C2×#11758194C2311yescharacteristic
95C2×#11758194C2311yescharacteristic
96C2×#11758189—21no—
97C2×#11758189—21no—
98C2×#11758189—21no—
99C2×#11758189—21no—
100C2×C8×D61—21no—
101C2×C8×D61—21no—
102C2×C8×D61—21no—
103C2×C8×D61—21no—
104#14519777C2×C411yescharacteristic
105#14519774C2×C411yescharacteristic
106#14519765C2×C411yescharacteristic
107#14519765C2×C411yescharacteristic
108#14519751—21no—
109#14519751—21no—
110C4×Dic122C2×C411yescharacteristic
111C4×Dic122C2×C411yescharacteristic
112C4×D244—21no—
113C4×D244—21no—
114C4×D244C2×C411yescharacteristic
115C4×D244C2×C411yescharacteristic
116C4×C22⋊D61—21no—
117C4×C22⋊D61—21no—
118#14519736C2311yescharacteristic
119#14519734—21no—
120C42×D61—21no—
121#14519713—22no—
122#14519713—22no—
123C4⋊#92418—21no—
124C4⋊#92418—21no—
125#14519706—21no—
126#14519706—21no—
127#14519706—21no—
128#14519706—21no—
129#14519705—22no—
130#14519705—22no—
131#14519705—22no—
132#14519705—41no—
133#14519705—41no—
134#14519705D414yescomplemented
135#14519702C2×C411yescharacteristic
136#14519702C2×C411yescharacteristic
137#14519702C2×C411yescharacteristic
138#14519702C2×C411yescharacteristic
139#14519699C2×C411yescharacteristic
140#14519699C2×C411yescharacteristic
141#14519699C2×C411yescharacteristic
142#14519699C2×C411yescharacteristic
143#14519689—21no—
144#14519689—21no—
145#14519689—21no—
146#14519689—21no—
147#14519688—21no—
148C4×#92418—21no—
149C22×C8×C61C2311yescharacteristic
150C22×C8×C61C2311yescharacteristic
151C22×C8×C61C2311yescharacteristic
152C22×C8×C61C2311yescharacteristic
153C2×C42×C61C2311yescharacteristic
154C2×C42×C61C2311yescharacteristic
155C2×C42×C61C2311yescharacteristic
156C4⋊C8×C61C2×C411yescharacteristic
157C4⋊C8×C61C2×C411yescharacteristic
158C4⋊C8×C61C2×C411yescharacteristic
159C4⋊C8×C61C2×C411yescharacteristic
160C4⋊C8×C61D411yescharacteristic
161C4⋊C8×C61D411yescharacteristic
162C4⋊C8×C61D411yescharacteristic
163C4⋊C8×C61D411yescharacteristic
164#97×C61—22no—
165C4×C8×C61—22no—
166#95×C61—21no—
167#95×C61—21no—
168C22×C4×C61—21no—
169C22×C4×C61—21no—
170C22×C4×C61#4111yescharacteristic
171C22×C4×C61#4111yescharacteristic
172C22×C4×C61C2411yescharacteristic
173C2×C22⋊D61—21no—
174C2×C22⋊D61—21no—
175C2×C22⋊D61—21no—
176#11758222—21no—
177#11758222—21no—
178#11758222—21no—
179#11758222—21no—
180#11758222—21no—
181#11758222—21no—
182#11758222—21no—
183#11758222—21no—
184#11758222—21no—
185#11758222—21no—
186#11758222C2×D412yes—
187#11758222#4112yes—
188C2×D244—21no—
189C2×D244—21no—
190C2×D244C22×C411yescharacteristic
191C2×D244C22×C411yescharacteristic
192C2×D244C22×C411yescharacteristic
193C2×C4×D61—21no—
194C2×C4×D61—21no—
195C2×C4×D61—21no—
196C2×C4×D61—21no—
197C2×C4×D61—21no—
198C2×Dic122C22×C411yescharacteristic
199C2×Dic122C22×C411yescharacteristic
200C2×Dic122C22×C411yescharacteristic
201C2×C8×C61—21no—
202C2×C8×C61—21no—
203C2×C8×C61—21no—
204C2×C8×C61—21no—
205C2×C8×C61—21no—
206C2×C8×C61—21no—
207C2×C8×C61—21no—
208C2×C8×C61—21no—
209C2×C8×C61C22×C411yescharacteristic
210C2×C8×C61C22×C411yescharacteristic
211C2×C8×C61C22×C411yescharacteristic
212C2×C8×C61C22×C411yescharacteristic
213C2×C8×C61C2×D411yescharacteristic
214C2×C8×C61C2×D411yescharacteristic
215C2×C8×C61C2×D411yescharacteristic
216C2×C8×C61C2×D411yescharacteristic
217C42×C61—21no—
218C42×C61—21no—
219C42×C61—21no—
220C42×C61C22×C411yescharacteristic
221C42×C61C22×C411yescharacteristic
222C42×C61C2×D412yes—
223C42×C61C2×D411yescharacteristic
224C42×C61C2×D411yescharacteristic
225C22⋊Dic61—21no—
226#11758198—21no—
227#11758198—21no—
228#11758198—21no—
229#11758198—21no—
230#11758198—21no—
231#11758198—21no—
232C4⋊Dic61—21no—
233C4⋊Dic61—21no—
234C4⋊Dic61C22×C411yescharacteristic
235C4⋊Dic61C22×C411yescharacteristic
236#11758196—21no—
237#11758196—21no—
238C4×Dic61—21no—
239C4×Dic61—21no—
240C4×Dic61—21no—
241#11758194—21no—
242#11758194—21no—
243#11758194—21no—
244#11758194—21no—
245#11758194—21no—
246#11758194—21no—
247#11758194—21no—
248#11758194C2×D412yes—
249C2×#92418—21no—
250C2×#92418—21no—
251C2×#92418—21no—
252C2×#92418—21no—
253Dic244—22no—
254Dic244—22no—
255D488—22no—
256D488—22no—
257#11758190—22no—
258#11758190—22no—
259#11758190—22no—
260#11758190—22no—
261#11758189—42no—
262#11758189—42no—
263#11758189—42no—
264#11758189—42no—
265C8×D61—42no—
266C8×D61—42no—
267C8×D61—42no—
268C8×D61—42no—
269C23×C61C2×#4111yescharacteristic
270C22×D61—21no—
271C22×D61—21no—
272C22×D61—21no—
273C2×C4×C61—22no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61C4×D411yescharacteristic
282C2×C4×C61C4×D411yescharacteristic
283C2×C4×C61C4×D411yescharacteristic
284C2×C4×C61C4×D411yescharacteristic
285C2×C4×C61C23×C411yescharacteristic
286C2×C4×C61C22×D411yescharacteristic
287C2×C4×C61C22×D411yescharacteristic
288C2×C4×C61C2×#4111yescharacteristic
289C2×C4×C61H(5,𝔽2)11yescharacteristic
290C2×C4×C612−1+411yescharacteristic
291C22⋊D61—22no—
292C22⋊D61—22no—
293C22⋊D61—41no—
294C22⋊D61—41no—
295C22⋊D61—41no—
296C22⋊D61—41no—
297C2×Dic61—21no—
298C2×Dic61—21no—
299C2×Dic61—21no—
300C2×Dic61—21no—
301C2×Dic61—21no—
302D244—21no—
303D244—21no—
304D244—21no—
305D244—21no—
306D244—21no—
307D244—42no—
308D244—81no—
309D244C4×D412yes—
310C4×D61—22no—
311C4×D61—22no—
312C4×D61—42no—
313C4×D61—41no—
314C4×D61—41no—
315C4×D61—41no—
316C4×D61—41no—
317C4×D61—81no—
318Dic122—21no—
319Dic122—21no—
320Dic122—21no—
321Dic122—21no—
322Dic122—21no—
323Dic122C4×D412yes—
324C8×C61—21no—
325C8×C61—21no—
326C8×C61—21no—
327C8×C61—21no—
328C8×C61—21no—
329C8×C61—21no—
330C8×C61—21no—
331C8×C61—21no—
332#92418—22no—
333#92418—41no—
334#92418—41no—
335#92418—41no—
336#23017—611nomaximal, Sylow
337C22×C61—21no—
338C22×C61—21no—
339C22×C61C2×C4×D411yescharacteristic
340C22×C61#54711yescharacteristic
341C22×C61#55311yescharacteristic
342C2×D61—22no—
343C2×D61—41no—
344C2×D61—41no—
345C2×D61—41no—
346C2×D61—41no—
347C2×D61—41no—
348C2×D61—41no—
349C2×D61—41no—
350C2×D61—41no—
351C4×C61—21no—
352C4×C61—21no—
353C4×C61—21no—
354C4×C61—21no—
355C4×C61—42no—
356C4×C61—81no—
357C4×C61C2×C4×D411yescharacteristic
358C4×C61#52011yescharacteristic
359C4×C61D4211yescharacteristic
360C4×C61#54811yescharacteristic
361Dic61—22no—
362Dic61—41no—
363Dic61—41no—
364Dic61—41no—
365Dic61—41no—
366#3035—611no—
367C2×#444—611no—
368C2×#443—611no—
369#2935—611no—
370#2906—611no—
371#1963—611no—
372#1950—611no—
373#1938—611no—
374#1937—611no—
375#1876—611no—
376#1876—611no—
377#1866—611no—
378#1866—611no—
379#1768D6111yescharacteristic, complemented
380#1759—611no—
381C2×C61—21no—
382C2×C61—21no—
383C2×C61#236111yescharacteristic
384C2×C61#295511yescharacteristic
385C2×C61#295711yescharacteristic
386D61—42no—
387D61—81no—
388D61—81no—
389C2×#135—611no—
390C2×#135—611no—
391C2×#131—611no—
392C2×#131—611no—
393C2×#131—611no—
394C2×#131—611no—
395#532—611no—
396C4×#41—611no—
397#464—611no—
398#464—611no—
399#463—611no—
400#463—611no—
401#462—611no—
402#461—611no—
403#460—611no—
404#459—611no—
405#444—1224no—
406#443—1224no—
407#436—1221no—
408#435—1221no—
409#435—1221no—
410C8×D4—1221no—
411C2×#108—611no—
412C2×#108—611no—
413#424—611no—
414#424—611no—
415#424—1221no—
416#424—1221no—
417#423—611no—
418#423—1221no—
419C2×C4⋊C8—1221no—
420C2×C4⋊C8C2×D6111yescharacteristic
421C2×C4⋊C8C2×D6111yescharacteristic
422C2×#104—611no—
423C2×#104—611no—
424C2×#104—611no—
425C2×#104—611no—
426C2×#104—611no—
427C2×#104—611no—
428#416—611no—
429#416—611no—
430#408—611no—
431#408—611no—
432C4×M16—611no—
433C2×#97C2×D6111yescharacteristic
434C2×C4×C8C2×D6111yescharacteristic
435#376C2×D6111yescharacteristic
436#341—611no—
437#341—611no—
438#339—611no—
439#339—611no—
440#336C2×D6111yescharacteristic
441#336C2×D6111yescharacteristic
442C61#2301711yescharacteristic, complemented, Sylow
443C2×#41—611no—
444C2×#41—611no—
445C2×#41—611no—
446#135—1222no—
447#135—1222no—
448#135—1222no—
449#135—1222no—
450C2×Q16—611no—
451C2×Q16—611no—
452C2×SD16—611no—
453C2×SD16—611no—
454C2×SD16—611no—
455C2×SD16—611no—
456C2×D8—611no—
457C2×D8—611no—
458#131—1222no—
459#131—1222no—
460#131—1222no—
461#131—1222no—
462#131—2441no—
463#131—2441no—
464#131—2441no—
465#131—2441no—
466C2×M16—611no—
467C2×M16—611no—
468C2×M16—611no—
469C2×M16—611no—
470C2×M16—1221no—
471C2×M16—1221no—
472C2×M16—1221no—
473C2×M16—1221no—
474C22×C8—1221no—
475C22×C8—1221no—
476C22×C8—1221no—
477C22×C8—1221no—
478C22×C8C22×D6111yescharacteristic
479C22×C8C22×D6111yescharacteristic
480C22×C8C22×D6111yescharacteristic
481C22×C8C22×D6111yescharacteristic
482C4⋊Q8—611no—
483#127—611no—
484#124—611no—
485#124—611no—
486#121—1221no—
487#121—1221no—
488C4×Q8—611no—
489C4×Q8—611no—
490C4×D4—611no—
491C4×D4—611no—
492C4×D4—1221no—
493C4×D4—1221no—
494C4×D4—1221no—
495C4×D4—1221no—
496#117—611no—
497#117—1221no—
498C2×C42—1221no—
499C2×C42C22×D6111yescharacteristic
500C2×C42C22×D6111yescharacteristic
501C2×C42C22×D6111yescharacteristic
502#108—1222no—
503#108—1222no—
504C4⋊C8—1221no—
505C4⋊C8—1221no—
506C4⋊C8—1221no—
507C4⋊C8—1221no—
508C4⋊C8—1221no—
509C4⋊C8—1221no—
510C4⋊C8C4×D6111yescharacteristic
511C4⋊C8C4×D6111yescharacteristic
512C4⋊C8C4×D6111yescharacteristic
513C4⋊C8C4×D6111yescharacteristic
514C4⋊C8D24411yescharacteristic
515C4⋊C8D24411yescharacteristic
516C4⋊C8D24411yescharacteristic
517C4⋊C8D24411yescharacteristic
518#104—614no—
519#104—1222no—
520#104—1222no—
521#104—1222no—
522#104—2441no—
523#104—2441no—
524#103—611no—
525#103—611no—
526#103—611no—
527#103—611no—
528#102—611no—
529#102—611no—
530#102—611no—
531#102—611no—
532C22⋊C8—1221no—
533C22⋊C8—1221no—
534C22⋊C8—1221no—
535C22⋊C8—1221no—
536#97—22no—
537#97—1221no—
538C4×C8—22no—
539C4×C8—1221no—
540#95—21no—
541#95—21no—
542#41—612no—
543#41—612no—
544#41—1221no—
545#41—1221no—
546#41—1221no—
547#41—1221no—
548#41—1221no—
549#41—1221no—
550#41—1221no—
551#41—1221no—
552#41—1221no—
553#41—1221no—
554C2×Q8—611no—
555C2×Q8—611no—
556C2×Q8—611no—
557C2×D4—611no—
558C2×D4—611no—
559C2×D4—611no—
560C2×D4—1221no—
561C2×D4—1221no—
562C2×D4—1221no—
563C2×D4—1221no—
564C2×D4—1221no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—1221no—
568C22×C4—1221no—
569C22×C4—1221no—
570C22×C4—1221no—
571C22×C4—1221no—
572C22×C4#1175822211yescharacteristic
573C22×C4#1175822211yescharacteristic
574C22×C4C23×D6111yescharacteristic
575Q16—1222no—
576Q16—1222no—
577SD16—1222no—
578SD16—1222no—
579SD16—1222no—
580SD16—1222no—
581D8—1222no—
582D8—1222no—
583M16—612no—
584M16—1221no—
585M16—1221no—
586M16—1221no—
587M16—1221no—
588M16—1221no—
589M16—1221no—
590M16—1221no—
591M16—2442no—
592M16—2442no—
593M16—2442no—
594M16—2442no—
595C2×C8—21no—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—1221no—
604C2×C8—1221no—
605C2×C8—1221no—
606C2×C8—1221no—
607C2×C8—2442no—
608C2×C8—2442no—
609C2×C8—2442no—
610C2×C8—2442no—
611C2×C8C2×C4×D6111yescharacteristic
612C2×C8C2×C4×D6111yescharacteristic
613C2×C8C2×C4×D6111yescharacteristic
614C2×C8C2×C4×D6111yescharacteristic
615C2×C8C2×D24411yescharacteristic
616C2×C8C2×D24411yescharacteristic
617C2×C8C2×D24411yescharacteristic
618C2×C8C2×D24411yescharacteristic
619C4⋊C4—611no—
620C4⋊C4—611no—
621C4⋊C4—1221no—
622C4⋊C4—1221no—
623C4⋊C4—1221no—
624C4⋊C4—1221no—
625C22⋊C4—1221no—
626C22⋊C4—1221no—
627C22⋊C4—1221no—
628C22⋊C4—1221no—
629C22⋊C4—1221no—
630C22⋊C4—1221no—
631C22⋊C4—1221no—
632C42—21no—
633C42—21no—
634C42—21no—
635C42—1221no—
636C42—1221no—
637C42—1221no—
638C42C2×C4×D6111yescharacteristic
639C42C2×C4×D6111yescharacteristic
640C42C2×D24411yescharacteristic
641C42C2×D24411yescharacteristic
642C42D4×D6112yes—
643C23—1221no—
644C23—1221no—
645C23—1221no—
646C23C2×#1175822211yescharacteristic
647Q8—612no—
648Q8—1221no—
649Q8—1221no—
650Q8—1221no—
651Q8—1221no—
652Q8—1221no—
653D4—612no—
654D4—1222no—
655D4—1222no—
656D4—1221no—
657D4—1221no—
658D4—1221no—
659D4—1221no—
660D4—1221no—
661D4—4881no—
662D4—2442no—
663D4—2441no—
664D4—2441no—
665D4—2441no—
666D4—2441no—
667C2×C4—22no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—1221no—
676C2×C4—1222no—
677C2×C4—1222no—
678C2×C4—1221no—
679C2×C4—1221no—
680C2×C4—1221no—
681C2×C4—1221no—
682C2×C4—4881no—
683C2×C4—2442no—
684C2×C4—2441no—
685C2×C4—2441no—
686C2×C4—2441no—
687C2×C4—2441no—
688C2×C4C4×D24411yescharacteristic
689C2×C4C4×D24411yescharacteristic
690C2×C4C4×D24411yescharacteristic
691C2×C4C4×D24411yescharacteristic
692C2×C4C22×C4×D6111yescharacteristic
693C2×C4C2×D4×D6111yescharacteristic
694C2×C4C22×D24411yescharacteristic
695C2×C4#41×D6111yescharacteristic
696C2×C4#1451982311yescharacteristic
697C2×C4#1451982511yescharacteristic
698C8—21no—
699C8—21no—
700C8—21no—
701C8—21no—
702C8—21no—
703C8—21no—
704C8—21no—
705C8—21no—
706C8—1222no—
707C8—2441no—
708C8—2441no—
709C8—2441no—
710C22—21no—
711C22—21no—
712C22—1222no—
713C22—2441no—
714C22—2441no—
715C22—2441no—
716C22—2441no—
717C22—2441no—
718C22—2441no—
719C22—2441no—
720C22—2441no—
721C22C2×C4×D24411yescharacteristic
722C22#1684041311yescharacteristic
723C22#1684045611yescharacteristic
724C4—21no—
725C4—21no—
726C4—21no—
727C4—21no—
728C4—42no—
729C4—81no—
730C4—1222no—
731C4—2441no—
732C4—2441no—
733C4—2441no—
734C4—2441no—
735C4C4×D4×D6111yescharacteristic
736C4#1684024411yescharacteristic
737C4D4×D24411yescharacteristic
738C4#1684042411yescharacteristic
739C2—21no—
740C2—21no—
741C2—4881no—
742C2—4881no—
743C2—2442no—
744C2#2144883711yescharacteristic
745C2#2145472311yescharacteristic
746C2#2145473711yescharacteristic
subgroupG/H
centerC2×C4C22×D244
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1768C2
socleC22×C61C2×C4×D4
prime radical#21455276C2
cosocleC22×C4×C61C24
hypercenter#1768D61
hypocenterC61#23017
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C4⋊C8 ◁ #1768

Complements

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

NH ≅ G/Ntype
2. C2×#16839885C2semidirect
3. C2×#16839880C2semidirect
4. #21454562C2semidirect
5. #21454384C2semidirect
6. #21446651C2semidirect
7. #21446595C2semidirect
8. #21446530C2semidirect
9. #21446523C2semidirect
10. #21446145C2semidirect
11. #21446145C2semidirect
12. #21446097C2semidirect
13. #21446097C2semidirect
14. #21445630C2semidirect
15. C61×#1768C2semidirect
24. #16839985C4semidirect
25. #16839985C4semidirect
26. #16839978C4semidirect
27. #16839978C4semidirect
28. #16839973C4semidirect
29. #16839968C4semidirect
30. #16839963C4semidirect
31. #16839958C4semidirect
134. #14519705D4semidirect
379. #1768D61semidirect
442. C61#23017semidirect

Maximal subgroups

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

subgroupindex
#214552762
C2×#168398852
C2×#168398802
#214545622
#214543842
#214466512
#214465952
#214465302
#214465232
#214461452
#214460972
#214456302
C61×#17682
#2301761