Finite Group Databasebeta

← #29715650

Subgroups — #29715650

Order 15616.

1918 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459583C211yesmaximal, characteristic, complemented
2C2×#16839948C212yesmaximal, complemented
3#21454101C212yesmaximal, complemented
4#21447070C212yesmaximal, complemented
5#21446945C212yesmaximal, complemented
6#21446655C212yesmaximal, complemented
7#21445807C211yesmaximal, characteristic, complemented
8#21445766C212yesmaximal, complemented
9C4×#120×C61C211yesmaximal, characteristic, complemented
10C2×#14519822C2212yes—
11#16840416—22no—
12#16840407—24no—
13D4×D244—22no—
14#16840343—21no—
15#16840324—21no—
16#16840324C2212yes—
17#16840312—21no—
18C2×#14519751—21no—
19C2×#14519751—22no—
20C2×#14519751C2212yes—
21C2×#14519746C2214yescomplemented
22#16839948—28no—
23C2×#14519692C2212yes—
24C2×#14519691C2214yescomplemented
25C2×#14519691C2214yescomplemented
26#16839641—24no—
27#16839641C2214yescomplemented
28#16839622—22no—
29#16839622C2212yescomplemented
30#16839529C2212yescomplemented
31C24×C4×C61C2211yescharacteristic, complemented
32C2×#120×C61C2211yescharacteristic
33C2×C4×D4×C61—21no—
34C2×C4×D4×C61C2211yescharacteristic
35C61×#386—21no—
36C61×#386C2211yescharacteristic
37C61×#385—21no—
38C61×#385C2211yescharacteristic, complemented
39C61×#379C2211yescharacteristic, complemented
40C4×C22⋊C4×C61—21no—
41C4×C22⋊C4×C61C2211yescharacteristic, complemented
42#14519822—24no—
43#14519822—24no—
44#14519822—44no—
45C2×#11758222—22no—
46C2×#11758224—24no—
47C22×D244—21no—
48C22×D244D412yescomplemented
49C22×C22⋊D61—22no—
50C22×C22⋊D61—24no—
51C22×C22⋊D61C2314yes—
52C2×D4×D61—24no—
53#14519777—21no—
54#14519774—21no—
55#14519765—22no—
56#14519761—24no—
57#14519761—24no—
58#14519757—24no—
59#14519752—24no—
60#14519751—22no—
61#14519751—22no—
62#14519751—22no—
63#14519751—22no—
64#14519751—22no—
65#14519751—22no—
66#14519751—22no—
67#14519751—22no—
68#14519751—48no—
69#14519747—24no—
70#14519747—24no—
71#14519746—28no—
72#14519746—44no—
73C4×D244—22no—
74C4×D244—22no—
75C2×C4⋊Dic61—21no—
76C2×C4⋊Dic61—22no—
77C2×C4⋊Dic61D412yescomplemented
78C2×C22⋊Dic61—24no—
79C2×C22⋊Dic61C2314yes—
80C2×#11758198—22no—
81C2×#11758198—24no—
82C2×#11758198D414yescomplemented
83#14519692—24no—
84#14519691—28no—
85#14519691—44no—
86#14519684—22no—
87#14519684—24no—
88C25×C61C2311yescharacteristic
89C22×D4×C61—21no—
90C22×D4×C61C2311yescharacteristic
91C23×C4×C61—22no—
92C23×C4×C61—21no—
93C23×C4×C61—21no—
94C23×C4×C61—22no—
95C23×C4×C61—44no—
96C23×C4×C61D411yescharacteristic, complemented
97C23×C4×C61C2311yescharacteristic
98C23×C4×C61C2311yescharacteristic
99#120×C61—22no—
100#120×C61D414yescomplemented
101C4×D4×C61—22no—
102C4×D4×C61—22no—
103C4×D4×C61—44no—
104C2×C4⋊C4×C61—21no—
105C2×C4⋊C4×C61D411yescharacteristic, complemented
106C2×C22⋊C4×C61—21no—
107C2×C22⋊C4×C61—21no—
108C2×C22⋊C4×C61—21no—
109C2×C22⋊C4×C61—21no—
110C2×C22⋊C4×C61D411yescharacteristic, complemented
111C2×C22⋊C4×C61C2311yescharacteristic
112C2×C22⋊C4×C61C2311yescharacteristic
113C2×C22⋊C4×C61C2311yescharacteristic
114C2×C42×C61—21no—
115C2×C42×C61D411yescharacteristic, complemented
116#95×C61—21no—
117#95×C61—21no—
118#95×C61—21no—
119C24×C61—22no—
120C24×C61—21no—
121C24×C61—21no—
122C24×C61—22no—
123C24×C61—42no—
124C24×C61—42no—
125C24×C61C2×D411yescharacteristic
126C24×C61C2×D412yescomplemented
127C24×C61C2411yescharacteristic
128C23×D61—22no—
129C23×D61C2×D414yes—
130C2×D4×C61—22no—
131C2×D4×C61—22no—
132C2×D4×C61—24no—
133C2×D4×C61—42no—
134C2×D4×C61—42no—
135C2×D4×C61C2×D412yes—
136C2×D4×C61#4112yes—
137C22×C4×C61—24no—
138C22×C4×C61—28no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—22no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—42no—
146C22×C4×C61—42no—
147C22×C4×C61—44no—
148C22×C4×C61—42no—
149C22×C4×C61—44no—
150C22×C4×C61—42no—
151C22×C4×C61—42no—
152C22×C4×C61—42no—
153C22×C4×C61—44no—
154C22×C4×C61—42no—
155C22×C4×C61—41no—
156C22×C4×C61—41no—
157C22×C4×C61C2×D412yes—
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D412yes—
163C22×C4×C61C2×D411yescharacteristic
164C2×C22⋊D61—24no—
165C2×C22⋊D61—24no—
166C2×C22⋊D61—24no—
167C2×C22⋊D61—24no—
168C2×C22⋊D61—24no—
169C2×C22⋊D61—24no—
170C2×C22⋊D61—24no—
171C2×C22⋊D61—44no—
172C2×C22⋊D61—44no—
173C2×C22⋊D61—48no—
174C2×C22⋊D61—48no—
175C2×C22⋊D61—48no—
176C22×Dic61—22no—
177C22×Dic61—24no—
178C22×Dic61C2×D414yes—
179#11758224—48no—
180#11758224—48no—
181D4×D61—48no—
182D4×D61—48no—
183#11758222—44no—
184#11758222—44no—
185C2×D244—22no—
186C2×D244—22no—
187C2×D244—22no—
188C2×D244—22no—
189C2×D244—22no—
190C2×D244—44no—
191C2×D244—82no—
192C2×C4×D61—24no—
193C2×Dic122—22no—
194C4⋊C4×C61—22no—
195C4⋊C4×C61—42no—
196C22⋊C4×C61—22no—
197C22⋊C4×C61—21no—
198C22⋊C4×C61—22no—
199C22⋊C4×C61—24no—
200C22⋊C4×C61—22no—
201C22⋊C4×C61—42no—
202C22⋊C4×C61—42no—
203C22⋊C4×C61—42no—
204C22⋊C4×C61C2×D412yescomplemented
205C42×C61—21no—
206C42×C61—21no—
207C42×C61—42no—
208C22⋊Dic61—24no—
209C22⋊Dic61—24no—
210C22⋊Dic61—48no—
211#11758198—24no—
212#11758198—24no—
213#11758198—24no—
214#11758198—24no—
215#11758198—48no—
216C4⋊Dic61—22no—
217C4⋊Dic61—22no—
218C4⋊Dic61—22no—
219C4⋊Dic61—22no—
220C4⋊Dic61—44no—
221C23×C61—22no—
222C23×C61—22no—
223C23×C61—24no—
224C23×C61—24no—
225C23×C61—21no—
226C23×C61—22no—
227C23×C61—24no—
228C23×C61—21no—
229C23×C61—41no—
230C23×C61—44no—
231C23×C61—41no—
232C23×C61—42no—
233C23×C61—41no—
234C23×C61—42no—
235C23×C61—41no—
236C23×C61—48no—
237C23×C61—44no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—42no—
243C23×C61#12112yescomplemented
244C23×C61C22×D411yescharacteristic
245C23×C61C22×D412yes—
246C23×C61C22×D411yescharacteristic
247C23×C61C2×#4111yescharacteristic
248C23×C61H(5,𝔽2)12yes—
249C22×D61—24no—
250C22×D61—24no—
251C22×D61—24no—
252C22×D61—44no—
253C22×D61—44no—
254C22×D61—44no—
255C22×D61—82no—
256C22×D61—82no—
257D4×C61—24no—
258D4×C61—24no—
259D4×C61—48no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—24no—
263C2×C4×C61—22no—
264C2×C4×C61—24no—
265C2×C4×C61—22no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—22no—
269C2×C4×C61—41no—
270C2×C4×C61—42no—
271C2×C4×C61—48no—
272C2×C4×C61—44no—
273C2×C4×C61—41no—
274C2×C4×C61—42no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—42no—
279C2×C4×C61—44no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61—41no—
283C2×C4×C61—41no—
284C2×C4×C61—41no—
285C2×C4×C61—81no—
286C2×C4×C61#12012yes—
287C2×C4×C61#12011yescharacteristic
288C2×C4×C61#12011yescharacteristic
289C2×C4×C61#12112yescomplemented
290C22⋊D61—48no—
291C22⋊D61—44no—
292C22⋊D61—44no—
293C22⋊D61—44no—
294C22⋊D61—44no—
295C22⋊D61—816no—
296C2×Dic61—24no—
297C2×Dic61—24no—
298C2×Dic61—24no—
299C2×Dic61—44no—
300C2×Dic61—44no—
301C2×Dic61—44no—
302C2×Dic61—44no—
303D244—44no—
304D244—44no—
305D244—82no—
306D244—82no—
307D244—82no—
308C4×D61—48no—
309Dic122—44no—
310#24260—611nomaximal, Sylow
311C22×C61—22no—
312C22×C61—21no—
313C22×C61—22no—
314C22×C61—21no—
315C22×C61—28no—
316C22×C61—24no—
317C22×C61—22no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—44no—
323C22×C61—42no—
324C22×C61—42no—
325C22×C61—42no—
326C22×C61—44no—
327C22×C61—44no—
328C22×C61—42no—
329C22×C61—42no—
330C22×C61—41no—
331C22×C61—41no—
332C22×C61—42no—
333C22×C61—81no—
334C22×C61C2×#12011yescharacteristic
335C22×C61C2×#12111yescharacteristic
336C22×C61#53511yescharacteristic
337C22×C61D4212yes—
338C22×C61#54612yes—
339C2×D61—44no—
340C2×D61—44no—
341C2×D61—44no—
342C2×D61—84no—
343C2×D61—84no—
344C2×D61—164no—
345C4×C61—22no—
346C4×C61—22no—
347C4×C61—21no—
348C4×C61—42no—
349C4×C61—41no—
350C4×C61—42no—
351C4×C61—41no—
352C4×C61—81no—
353C4×C61B(4,𝔽2)12yescomplemented
354Dic61—44no—
355Dic61—84no—
356#3496—611no—
357C2×B(4,𝔽2)—612no—
358#2847—612no—
359C4×#120D6111yescharacteristic, complemented
360#2044—612no—
361#2021—612no—
362#1964—612no—
363#1799—611no—
364#1790—612no—
365C2×C61—22no—
366C2×C61—21no—
367C2×C61—21no—
368C2×C61—22no—
369C2×C61—42no—
370C2×C61—44no—
371C2×C61#240811yescharacteristic
372C2×C61C2×B(4,𝔽2)11yescharacteristic
373C2×C61#302511yescharacteristic
374D61—84no—
375C2×H(5,𝔽2)—612no—
376C24×C4C2×D6111yescharacteristic, complemented
377#547—1222no—
378#546—1224no—
379D42—1222no—
380#537—1221no—
381#534—612no—
382#534—1221no—
383#532—1221no—
384C2×#121—612no—
385C2×#121—1221no—
386C2×#121—1222no—
387C2×#120—614no—
388C2×#120C2×D6111yescharacteristic
389C2×C4×D4—21no—
390C2×C4×D4C2×D6111yescharacteristic
391B(4,𝔽2)—1228no—
392C2×#99—612no—
393C2×#99—614no—
394C2×#99—614no—
395#386—21no—
396#386—614no—
397#386—1224no—
398#386C2×D6111yescharacteristic
399#385—21no—
400#385C2×D6111yescharacteristic, complemented
401#380—612no—
402#380—1222no—
403#379C2×D6111yescharacteristic, complemented
404C4×C22⋊C4—21no—
405C4×C22⋊C4C2×D6111yescharacteristic, complemented
406#342—612no—
407C61#2426011yescharacteristic, complemented, Sylow
408C25C22×D6111yescharacteristic
409H(5,𝔽2)—1224no—
410H(5,𝔽2)—1224no—
411H(5,𝔽2)—2444no—
412C2×#41—1224no—
413C2×#41—1222no—
414C22×D4—21no—
415C22×D4—614no—
416C22×D4—612no—
417C22×D4—1221no—
418C22×D4—1224no—
419C22×D4—1222no—
420C22×D4—1224no—
421C22×D4C22×D6111yescharacteristic
422C23×C4—22no—
423C23×C4—21no—
424C23×C4—22no—
425C23×C4—21no—
426C23×C4—44no—
427C23×C4C22⋊D6111yescharacteristic, complemented
428C23×C4C22×D6111yescharacteristic
429C23×C4C22×D6111yescharacteristic
430C4⋊Q8—1221no—
431#127—1221no—
432#124—1222no—
433#123—1224no—
434#123—1224no—
435C22⋊Q8—1224no—
436#121—1224no—
437#121—1222no—
438#121—1222no—
439#121—1222no—
440#121—1222no—
441#121—1222no—
442#121—1222no—
443#121—1222no—
444#121—1222no—
445#121—2448no—
446#120—22no—
447#120—1224no—
448#120—1224no—
449#120—1228no—
450#120—2444no—
451#120D24414yescomplemented
452C4×D4—22no—
453C4×D4—22no—
454C4×D4—44no—
455C4×D4—1222no—
456C4×D4—1222no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—612no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1222no—
461C2×C4⋊C4C22⋊D6111yescharacteristic, complemented
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—614no—
467C2×C22⋊C4—614no—
468C2×C22⋊C4—1222no—
469C2×C22⋊C4—1224no—
470C2×C22⋊C4—1224no—
471C2×C22⋊C4C22⋊D6111yescharacteristic, complemented
472C2×C22⋊C4C22×D6111yescharacteristic
473C2×C22⋊C4C22×D6111yescharacteristic
474C2×C22⋊C4C22×D6111yescharacteristic
475C2×C42—21no—
476C2×C42C22⋊D6111yescharacteristic, complemented
477#99—1224no—
478#99—1228no—
479#99—2444no—
480#95—21no—
481#95—21no—
482#95—21no—
483#95—1224no—
484#95—1222no—
485C24—22no—
486C24—21no—
487C24—21no—
488C24—22no—
489C24—42no—
490C24—42no—
491C24—614no—
492C24—1222no—
493C24C2×D24412yescomplemented
494C24C2×C22⋊D6111yescharacteristic
495C24C23×D6111yescharacteristic
496#41—2444no—
497#41—2448no—
498#41—2448no—
499#41—2444no—
500C2×Q8—1222no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—24no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—1222no—
507C2×D4—1222no—
508C2×D4—1222no—
509C2×D4—1224no—
510C2×D4—1224no—
511C2×D4—1224no—
512C2×D4—1224no—
513C2×D4—1224no—
514C2×D4—1224no—
515C2×D4—1224no—
516C2×D4—1222no—
517C2×D4—1222no—
518C2×D4—4882no—
519C2×D4—2444no—
520C2×D4—2448no—
521C2×D4—2448no—
522C2×D4—2448no—
523C2×D4—2448no—
524C2×D4—2448no—
525C2×D4—2444no—
526C2×D4—2444no—
527C2×D4C2×D24412yes—
528C2×D4#1175822212yes—
529C22×C4—24no—
530C22×C4—28no—
531C22×C4—22no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—44no—
541C22×C4—42no—
542C22×C4—44no—
543C22×C4—42no—
544C22×C4—44no—
545C22×C4—42no—
546C22×C4—41no—
547C22×C4—42no—
548C22×C4—41no—
549C22×C4—614no—
550C22×C4—1224no—
551C22×C4—1222no—
552C22×C4—1224no—
553C22×C4D4×D6112yes—
554C22×C4D4×D6112yes—
555C22×C4C2×C22⋊D6111yescharacteristic
556C22×C4C2×C22⋊D6111yescharacteristic
557C22×C4C2×C22⋊D6111yescharacteristic
558C22×C4C2×C22⋊D6111yescharacteristic
559C22×C4C2×C22⋊D6111yescharacteristic
560C4⋊C4—22no—
561C4⋊C4—42no—
562C4⋊C4—1222no—
563C4⋊C4—1222no—
564C4⋊C4—1222no—
565C4⋊C4—1222no—
566C4⋊C4—2444no—
567C22⋊C4—22no—
568C22⋊C4—21no—
569C22⋊C4—22no—
570C22⋊C4—24no—
571C22⋊C4—22no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—1224no—
576C22⋊C4—1224no—
577C22⋊C4—1224no—
578C22⋊C4—1224no—
579C22⋊C4—1224no—
580C22⋊C4—1224no—
581C22⋊C4—2448no—
582C22⋊C4—2448no—
583C22⋊C4C2×D24412yescomplemented
584C42—21no—
585C42—21no—
586C42—42no—
587C23—22no—
588C23—22no—
589C23—24no—
590C23—24no—
591C23—21no—
592C23—22no—
593C23—24no—
594C23—21no—
595C23—41no—
596C23—44no—
597C23—41no—
598C23—41no—
599C23—42no—
600C23—41no—
601C23—42no—
602C23—44no—
603C23—48no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—42no—
609C23—1224no—
610C23—1224no—
611C23—1224no—
612C23—4882no—
613C23—4882no—
614C23—2444no—
615C23—2444no—
616C23—2444no—
617C23#1451975112yescomplemented
618C23C2×D4×D6112yes—
619C23C22×C22⋊D6111yescharacteristic
620C23C22×D24411yescharacteristic
621C23C2×#1175822211yescharacteristic
622C23#1451982312yes—
623Q8—2444no—
624D4—24no—
625D4—24no—
626D4—48no—
627D4—4882no—
628D4—4882no—
629D4—4882no—
630D4—48816no—
631D4—2444no—
632D4—2448no—
633D4—2444no—
634D4—2444no—
635D4—2444no—
636D4—2444no—
637D4—2444no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—42no—
648C2×C4—41no—
649C2×C4—44no—
650C2×C4—48no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—44no—
657C2×C4—42no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—81no—
664C2×C4—1224no—
665C2×C4—1224no—
666C2×C4—1224no—
667C2×C4—2448no—
668C2×C4—2444no—
669C2×C4—2444no—
670C2×C4—2444no—
671C2×C4—2444no—
672C2×C4#1451974511yescharacteristic
673C2×C4#1451974512yes—
674C2×C4#1451974511yescharacteristic
675C2×C4#1451975112yescomplemented
676C22—21no—
677C22—22no—
678C22—21no—
679C22—22no—
680C22—24no—
681C22—28no—
682C22—22no—
683C22—41no—
684C22—41no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22—44no—
691C22—44no—
692C22—44no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—41no—
697C22—42no—
698C22—81no—
699C22—9764no—
700C22—4884no—
701C22—4884no—
702C22—2444no—
703C22—2444no—
704C22—2444no—
705C22C2×#1451974511yescharacteristic
706C22C2×#1451975111yescharacteristic
707C22#1684032611yescharacteristic
708C22D4×D24412yes—
709C22#1684040812yes—
710C4—21no—
711C4—22no—
712C4—22no—
713C4—42no—
714C4—42no—
715C4—41no—
716C4—41no—
717C4—81no—
718C4—4884no—
719C4—2444no—
720C4#1683994812yescomplemented
721C2—21no—
722C2—21no—
723C2—22no—
724C2—22no—
725C2—44no—
726C2—42no—
727C2—4884no—
728C2#2144917511yescharacteristic
729C2C2×#1683994811yescharacteristic
730C2#2145521011yescharacteristic
subgroupG/H
centerC22C2×#14519745
commutator, cosocleC24×C61C24
FrattiniC24C23×D61
FittingC4×#120×C61C2
socleC22×C61C2×#120
hypercenterC4×#120D61
hypocenterC61#24260
LCSG ▷ C24×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. #21459583C2semidirect
2. C2×#16839948C2semidirect
3. #21454101C2semidirect
4. #21447070C2semidirect
5. #21446945C2semidirect
6. #21446655C2semidirect
7. #21445807C2semidirect
8. #21445766C2semidirect
9. C4×#120×C61C2semidirect
21. C2×#14519746C22semidirect
24. C2×#14519691C22semidirect
25. C2×#14519691C22semidirect
27. #16839641C22semidirect
29. #16839622C22semidirect
30. #16839529C22semidirect
31. C24×C4×C61C22semidirect
38. C61×#385C22semidirect
39. C61×#379C22semidirect
41. C4×C22⋊C4×C61C22semidirect
48. C22×D244D4semidirect
77. C2×C4⋊Dic61D4semidirect
82. C2×#11758198D4semidirect
96. C23×C4×C61D4semidirect
100. #120×C61D4semidirect
105. C2×C4⋊C4×C61D4semidirect
110. C2×C22⋊C4×C61D4semidirect
115. C2×C42×C61D4semidirect
126. C24×C61C2×D4semidirect
204. C22⋊C4×C61C2×D4semidirect
243. C23×C61#121semidirect
289. C2×C4×C61#121semidirect
353. C4×C61B(4,𝔽2)semidirect
359. C4×#120D61semidirect
376. C24×C4C2×D61semidirect
400. #385C2×D61semidirect
403. #379C2×D61semidirect
405. C4×C22⋊C4C2×D61semidirect
407. C61#24260semidirect
427. C23×C4C22⋊D61semidirect
451. #120D244semidirect
461. C2×C4⋊C4C22⋊D61semidirect
471. C2×C22⋊C4C22⋊D61semidirect
476. C2×C42C22⋊D61semidirect
493. C24C2×D244semidirect
583. C22⋊C4C2×D244semidirect
617. C23#14519751semidirect
675. C2×C4#14519751semidirect
720. C4#16839948semidirect

Maximal subgroups

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

subgroupindex
#214595832
C2×#168399482
#214541012
#214470702
#214469452
#214466552
#214458072
#214457662
C4×#120×C612
#2426061