Finite Group Databasebeta

← #29702541

Subgroups — #29702541

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×#16839883C211yesmaximal, characteristic, complemented
3C2×#16839878C211yesmaximal, characteristic, complemented
4#21454565C211yesmaximal, characteristic, complemented
5#21454388C211yesmaximal, characteristic, complemented
6#21446650C211yesmaximal, characteristic, complemented
7#21446528C211yesmaximal, characteristic, complemented
8#21446521C211yesmaximal, characteristic, complemented
9#21446147C211yesmaximal, characteristic, complemented
10#21446147C211yesmaximal, characteristic, complemented
11#21446091C211yesmaximal, characteristic, complemented
12#21446091C211yesmaximal, characteristic, complemented
13#21445678C211yesmaximal, characteristic, complemented
14#21445632C211yesmaximal, characteristic, complemented
15C61×#1950C211yesmaximal, characteristic, complemented
16C2×#14519799C2211yescharacteristic
17C2×#14519799C2211yescharacteristic
18C2×#14519785C2211yescharacteristic
19C2×#14519785C2211yescharacteristic
20C2×#14519785C2211yescharacteristic
21C2×#14519785C2211yescharacteristic
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#16839883—24no—
33#16839878—24no—
34#16839841—21no—
35#16839835—21no—
36#16839835—21no—
37C8×D244—21no—
38#16839790C2211yescharacteristic
39#16839790C2211yescharacteristic
40#16839787—21no—
41#16839787—21no—
42#16839784—21no—
43C2×C4⋊#92418C2211yescharacteristic
44C4⋊C8×D61—21no—
45C2×#14519703C2211yescharacteristic
46C2×#14519703C2211yescharacteristic
47C2×#14519703C2211yescharacteristic
48C2×#14519703C2211yescharacteristic
49C2×#14519703C2211yescharacteristic
50C2×#14519703C2211yescharacteristic
51#16839759C2211yescharacteristic
52#16839759C2211yescharacteristic
53#16839730C2211yescharacteristic
54#16839730C2211yescharacteristic
55C2×#14519687C2211yescharacteristic
56C2×C8×Dic61C2211yescharacteristic
57#16839608C2211yescharacteristic
58#16839523C2211yescharacteristic
59#16839523C2211yescharacteristic
60#16839516C2211yescharacteristic
61#16839516C2211yescharacteristic
62C2×#108×C61C2211yescharacteristic
63C2×#108×C61C2211yescharacteristic
64C61×#423C2211yescharacteristic
65C2×C4⋊C8×C61C2211yescharacteristic
66C4×M16×C61C2211yescharacteristic
67C61×#341C2211yescharacteristic
68C61×#341C2211yescharacteristic
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#14519785—22no—
85#14519785—22no—
86#14519785—22no—
87#14519785—22no—
88#14519785—41no—
89#14519785—41no—
90#14519785—41no—
91#14519785—41no—
92C2×#11758189—21no—
93C2×#11758189—21no—
94C2×#11758189—21no—
95C2×#11758189—21no—
96C22×#92418C2311yescharacteristic
97C22×#92418C2311yescharacteristic
98C2×C8×D61—21no—
99C2×C8×D61—21no—
100C2×C8×D61—21no—
101C2×C8×D61—21no—
102#14519777C2×C411yescharacteristic
103#14519774C2×C411yescharacteristic
104#14519765C2×C411yescharacteristic
105#14519765C2×C411yescharacteristic
106#14519751—21no—
107#14519751—21no—
108C4×Dic122C2×C411yescharacteristic
109C4×Dic122C2×C411yescharacteristic
110C4×D244—21no—
111C4×D244—21no—
112C4×D244C2×C411yescharacteristic
113C4×D244C2×C411yescharacteristic
114C4×C22⋊D61—21no—
115C4×C22⋊D61—21no—
116#14519736C2311yescharacteristic
117#14519734—21no—
118C2×C4×Dic61C2311yescharacteristic
119C2×C4×Dic61C2311yescharacteristic
120C42×D61—21no—
121C4⋊#92418D411yescharacteristic
122C4⋊#92418D411yescharacteristic
123C4⋊#92418D411yescharacteristic
124C4⋊#92418D411yescharacteristic
125#14519706—21no—
126#14519706—21no—
127#14519706—21no—
128#14519706—21no—
129#14519703—22no—
130#14519703—22no—
131#14519703—22no—
132#14519703—41no—
133#14519703—41no—
134#14519703D414yescomplemented
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#14519687—22no—
148C8×Dic61—22no—
149#14519684—21no—
150#14519684—21no—
151C2×M16×C61C2311yescharacteristic
152C2×M16×C61C2311yescharacteristic
153C2×M16×C61C2311yescharacteristic
154C2×M16×C61C2311yescharacteristic
155C22×C8×C61C2311yescharacteristic
156C22×C8×C61C2311yescharacteristic
157C2×C42×C61C2311yescharacteristic
158#108×C61—22no—
159#108×C61—22no—
160C4⋊C8×C61—21no—
161C4⋊C8×C61—21no—
162C4⋊C8×C61C2×C411yescharacteristic
163C4⋊C8×C61C2×C411yescharacteristic
164C4⋊C8×C61C2×C411yescharacteristic
165C4⋊C8×C61C2×C411yescharacteristic
166#97×C61—21no—
167C4×C8×C61—21no—
168C22×C4×C61#4111yescharacteristic
169C22×C4×C61#4111yescharacteristic
170C22×C4×C61C2411yescharacteristic
171C2×C22⋊D61—21no—
172C2×C22⋊D61—21no—
173C2×C22⋊D61—21no—
174C22×Dic61—21no—
175C22×Dic61—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
201M16×C61—21no—
202M16×C61—21no—
203M16×C61—21no—
204M16×C61—21no—
205M16×C61—21no—
206M16×C61—21no—
207M16×C61—21no—
208M16×C61C2×D412yes—
209C2×C8×C61—21no—
210C2×C8×C61—21no—
211C2×C8×C61—21no—
212C2×C8×C61—21no—
213C2×C8×C61—21no—
214C2×C8×C61—21no—
215C2×C8×C61—21no—
216C2×C8×C61—21no—
217C2×C8×C61C22×C411yescharacteristic
218C2×C8×C61C22×C411yescharacteristic
219C2×C8×C61C22×C411yescharacteristic
220C2×C8×C61C22×C411yescharacteristic
221C42×C61C22×C411yescharacteristic
222C42×C61C22×C411yescharacteristic
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—
241C4×Dic61—21no—
242C4×Dic61—21no—
243C4×Dic61—21no—
244C4×Dic61C2×D412yes—
245C2×#92418—21no—
246C2×#92418—21no—
247C2×#92418—21no—
248C2×#92418—21no—
249C2×#92418C2×D411yescharacteristic
250C2×#92418C2×D411yescharacteristic
251C2×#92418C2×D411yescharacteristic
252C2×#92418C2×D411yescharacteristic
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—41no—
274C2×C4×C61—41no—
275C2×C4×C61C4×D411yescharacteristic
276C2×C4×C61C4×D411yescharacteristic
277C2×C4×C61C4×D411yescharacteristic
278C2×C4×C61C4×D411yescharacteristic
279C2×C4×C61C23×C411yescharacteristic
280C2×C4×C61C22×D411yescharacteristic
281C2×C4×C61C22×D411yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61H(5,𝔽2)11yescharacteristic
284C2×C4×C612−1+411yescharacteristic
285C22⋊D61—22no—
286C22⋊D61—22no—
287C22⋊D61—41no—
288C22⋊D61—41no—
289C22⋊D61—41no—
290C22⋊D61—41no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—21no—
296C2×Dic61—22no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
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—22no—
329C8×C61—41no—
330C8×C61—41no—
331C8×C61—41no—
332#92418—21no—
333#92418—21no—
334#92418—21no—
335#92418—21no—
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×C61C2×C4×D411yescharacteristic
356C4×C61#52011yescharacteristic
357C4×C61D4211yescharacteristic
358C4×C61#54811yescharacteristic
359Dic61—22no—
360Dic61—42no—
361Dic61—41no—
362Dic61—41no—
363Dic61—41no—
364Dic61—41no—
365Dic61—81no—
366#3035—611no—
367C2×#444—611no—
368C2×#443—611no—
369#2935—611no—
370#2906—611no—
371#1963—611no—
372#1950D6111yescharacteristic, complemented
373#1938—611no—
374#1937—611no—
375#1876—611no—
376#1876—611no—
377#1866—611no—
378#1866—611no—
379#1768—611no—
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×#108C2×D6111yescharacteristic
412C2×#108C2×D6111yescharacteristic
413#424—611no—
414#424—611no—
415#424—1221no—
416#424—1221no—
417#423—1221no—
418#423C2×D6111yescharacteristic
419C2×C4⋊C8—611no—
420C2×C4⋊C8—1221no—
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×M16C2×D6111yescharacteristic
433C2×#97—611no—
434C2×C4×C8—611no—
435#376—611no—
436#341C2×D6111yescharacteristic
437#341C2×D6111yescharacteristic
438#339—611no—
439#339—611no—
440#336—611no—
441#336—611no—
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—1221no—
467C2×M16—1221no—
468C2×M16—1221no—
469C2×M16—1221no—
470C2×M16C22×D6111yescharacteristic
471C2×M16C22×D6111yescharacteristic
472C2×M16C22×D6111yescharacteristic
473C2×M16C22×D6111yescharacteristic
474C22×C8—611no—
475C22×C8—611no—
476C22×C8—1221no—
477C22×C8—1221no—
478C22×C8—1221no—
479C22×C8—1221no—
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—611no—
499C2×C42—611no—
500C2×C42—1221no—
501C2×C42C22×D6111yescharacteristic
502#108—22no—
503#108—22no—
504C4⋊C8—21no—
505C4⋊C8—21no—
506C4⋊C8—611no—
507C4⋊C8—611no—
508C4⋊C8—611no—
509C4⋊C8—611no—
510C4⋊C8—1221no—
511C4⋊C8—1221no—
512C4⋊C8—1221no—
513C4⋊C8—1221no—
514C4⋊C8C4×D6111yescharacteristic
515C4⋊C8C4×D6111yescharacteristic
516C4⋊C8C4×D6111yescharacteristic
517C4⋊C8C4×D6111yescharacteristic
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—21no—
537#97—1222no—
538C4×C8—21no—
539C4×C8—1222no—
540#95—1221no—
541#95—1221no—
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—1221no—
566C22×C4—1221no—
567C22×C4—1221no—
568C22×C4—1221no—
569C22×C4—1221no—
570C22×C4—1221no—
571C22×C4—1221no—
572C22×C4#1175822611yescharacteristic
573C22×C4#1175822611yescharacteristic
574C22×C4C23×D6111yescharacteristic
575Q16—1222no—
576Q16—1222no—
577SD16—1222no—
578SD16—1222no—
579SD16—1222no—
580SD16—1222no—
581D8—1222no—
582D8—1222no—
583M16—21no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—21no—
589M16—21no—
590M16—2442no—
591M16—2442no—
592M16—2442no—
593M16—2442no—
594M16D4×D6112yes—
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—611no—
604C2×C8—611no—
605C2×C8—611no—
606C2×C8—611no—
607C2×C8—1221no—
608C2×C8—1221no—
609C2×C8—1221no—
610C2×C8—1221no—
611C2×C8—2442no—
612C2×C8—2442no—
613C2×C8—2442no—
614C2×C8—2442no—
615C2×C8C2×C4×D6111yescharacteristic
616C2×C8C2×C4×D6111yescharacteristic
617C2×C8C2×C4×D6111yescharacteristic
618C2×C8C2×C4×D6111yescharacteristic
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—612no—
633C42—1221no—
634C42—1221no—
635C42—1221no—
636C42—1221no—
637C42—1221no—
638C42—1221no—
639C42C2×C4×D6111yescharacteristic
640C42C2×C4×D6111yescharacteristic
641C42D4×D6111yescharacteristic
642C42D4×D6111yescharacteristic
643C23—1221no—
644C23—1221no—
645C23—1221no—
646C23C2×#1175822611yescharacteristic
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—41no—
668C2×C4—41no—
669C2×C4—1221no—
670C2×C4—1222no—
671C2×C4—1222no—
672C2×C4—1221no—
673C2×C4—1221no—
674C2×C4—1221no—
675C2×C4—1221no—
676C2×C4—1222no—
677C2×C4—4881no—
678C2×C4—2442no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4—2441no—
686C2×C4—2441no—
687C2×C4—2441no—
688C2×C4#1451973911yescharacteristic
689C2×C4#1451973911yescharacteristic
690C2×C4#1451973911yescharacteristic
691C2×C4#1451973911yescharacteristic
692C2×C4C22×C4×D6111yescharacteristic
693C2×C4C2×D4×D6111yescharacteristic
694C2×C4C2×D4×D6111yescharacteristic
695C2×C4#41×D6111yescharacteristic
696C2×C4#1451982311yescharacteristic
697C2×C4#1451982511yescharacteristic
698C8—21no—
699C8—21no—
700C8—21no—
701C8—21no—
702C8—22no—
703C8—41no—
704C8—41no—
705C8—41no—
706C8—1221no—
707C8—1221no—
708C8—1221no—
709C8—1221no—
710C22—21no—
711C22—21no—
712C22—1222no—
713C22—2441no—
714C22—2441no—
715C22—2441no—
716C22—2441no—
717C22—2441no—
718C22—2441no—
719C22—2441no—
720C22—2441no—
721C22C2×#1451973911yescharacteristic
722C22#1684041511yescharacteristic
723C22#1684046511yescharacteristic
724C4—21no—
725C4—21no—
726C4—21no—
727C4—21no—
728C4—1222no—
729C4—4881no—
730C4—2442no—
731C4—2441no—
732C4—2441no—
733C4—2441no—
734C4—2441no—
735C4C4×D4×D6111yescharacteristic
736C4#1684024411yescharacteristic
737C4#1684039611yescharacteristic
738C4#1684042211yescharacteristic
739C2—21no—
740C2—21no—
741C2—4881no—
742C2—4881no—
743C2—2442no—
744C2#2144883411yescharacteristic
745C2#2145472111yescharacteristic
746C2#2145473511yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1950C2
socleC22×C61C2×C4×D4
prime radical#21455276C2
cosocleC22×C4×C61C24
hypercenter#1950D61
hypocenterC61#23017
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1950

Complements

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

NH ≅ G/Ntype
2. C2×#16839883C2semidirect
3. C2×#16839878C2semidirect
4. #21454565C2semidirect
5. #21454388C2semidirect
6. #21446650C2semidirect
7. #21446528C2semidirect
8. #21446521C2semidirect
9. #21446147C2semidirect
10. #21446147C2semidirect
11. #21446091C2semidirect
12. #21446091C2semidirect
13. #21445678C2semidirect
14. #21445632C2semidirect
15. C61×#1950C2semidirect
24. #16839985C4semidirect
25. #16839985C4semidirect
26. #16839978C4semidirect
27. #16839978C4semidirect
28. #16839973C4semidirect
29. #16839968C4semidirect
30. #16839963C4semidirect
31. #16839958C4semidirect
134. #14519703D4semidirect
372. #1950D61semidirect
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×#168398832
C2×#168398782
#214545652
#214543882
#214466502
#214465282
#214465212
#214461472
#214460912
#214456782
#214456322
C61×#19502
#2301761