Finite Group Databasebeta

← #29681638

Subgroups — #29681638

Order 15616.

1974 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840274C211yesmaximal, characteristic
2#21459020C211yesmaximal, characteristic, complemented
3C2×#16839735C211yesmaximal, characteristic, complemented
4#21448198C211yesmaximal, characteristic, complemented
5#21448198C211yesmaximal, characteristic, complemented
6#21446231C214yesmaximal, complemented
7#21446226C214yesmaximal, complemented
8#21445551C211yesmaximal, characteristic, complemented
9C61×#1740C211yesmaximal, characteristic, complemented
10C22×#11758222C2211yescharacteristic
11C23×C4×D61C2211yescharacteristic
12#16840274—24no—
13#16840274C418yescomplemented
14C2×#14519761C2212yes—
15C2×#14519757—21no—
16C2×#14519752—21no—
17C2×#14519747C2212yes—
18#16840243—22no—
19#16840242—22no—
20#16840239—21no—
21#16840236—21no—
22#16840235C2214yes—
23C4×#11758222—22no—
24#16840230—22no—
25C2×C4×D244—22no—
26C2×#14519736C2211yescharacteristic
27C2×#14519736C2211yescharacteristic
28#117×D61—22no—
29#16839735—24no—
30C2×#14519691C2214yes—
31#16839623C2212yes—
32#16839623C2212yes—
33#16839619—22no—
34#16839619—22no—
35#16839617C2212yes—
36#16839617C2212yes—
37C4×#11758198—22no—
38C4×#11758198—22no—
39#16839528C2214yes—
40C2×#117×C61C2211yescharacteristic
41C2×#117×C61C2211yescharacteristic
42C2×#117×C61C2211yescharacteristic
43C61×#342C2214yes—
44C24×D61C2311yescharacteristic
45C2×#11758222—21no—
46C2×#11758222—21no—
47C2×#11758222—21no—
48C2×#11758222—21no—
49C2×#11758222—22no—
50C2×#11758222—22no—
51C2×#11758222C2×C414yes—
52C2×#11758222D414yes—
53C22×Dic122D411yescharacteristic
54C22×D244—22no—
55C22×D244D411yescharacteristic
56C22×C22⋊D61C2312yes—
57C23×Dic61C2311yescharacteristic
58C22×C4×D61—21no—
59C22×C4×D61—21no—
60C22×C4×D61—22no—
61C22×C4×D61—21no—
62C22×C4×D61—21no—
63C22×C4×D61—21no—
64C22×C4×D61—21no—
65C22×C4×D61—22no—
66C22×C4×D61—22no—
67C22×C4×D61C2×C414yescomplemented
68C22×C4×D61D412yes—
69#14519761—24no—
70#14519761C2×C418yescomplemented
71#14519757—28no—
72#14519752—28no—
73#14519747—24no—
74#14519747C2×C418yescomplemented
75C4×Dic122—24no—
76#14519742—24no—
77C4×D244—24no—
78C4×D244—216no—
79#14519739—24no—
80C4×C22⋊D61—28no—
81#14519737—28no—
82#14519736—21no—
83#14519736—21no—
84#14519736—21no—
85#14519736—21no—
86#14519736—22no—
87#14519736—22no—
88#14519735—24no—
89#14519734—24no—
90#14519733—24no—
91C2×C4⋊Dic61—22no—
92C2×C4⋊Dic61—21no—
93C2×C4⋊Dic61D412yescomplemented
94C4⋊C4×D61—24no—
95C2×C22⋊Dic61C2312yes—
96C2×C22⋊Dic61C2312yes—
97C2×#11758198—22no—
98C2×#11758198—22no—
99C2×#11758198—24no—
100C2×#11758198—24no—
101C22⋊C4×D61—24no—
102C2×C4×Dic61—21no—
103C2×C4×Dic61D412yescomplemented
104C42×D61—24no—
105#14519691—28no—
106#14519684—24no—
107#14519684—24no—
108C23×C4×C61C2311yescharacteristic
109#117×C61—21no—
110#117×C61—21no—
111#117×C61—21no—
112#117×C61—21no—
113#117×C61—22no—
114#117×C61—22no—
115#117×C61—22no—
116#117×C61C2×C414yescomplemented
117C2×C4⋊C4×C61—21no—
118C2×C4⋊C4×C61—21no—
119C2×C4⋊C4×C61D412yescomplemented
120C2×C22⋊C4×C61C2312yes—
121C2×C22⋊C4×C61C2312yes—
122C2×C22⋊C4×C61C2312yes—
123C2×C42×C61—21no—
124C2×C42×C61—21no—
125C2×C42×C61D412yescomplemented
126C24×C61C2411yescharacteristic
127C23×D61—21no—
128C23×D61—21no—
129C23×D61—21no—
130C23×D61—21no—
131C23×D61—21no—
132C23×D61—21no—
133C23×D61—44no—
134C23×D61C22×C412yes—
135C23×D61C2×D412yes—
136C22×C4×C61—22no—
137C22×C4×C61—22no—
138C22×C4×C61C22×C412yes—
139C22×C4×C61C2×D414yes—
140C22×C4×C61C2×D411yescharacteristic
141C22×C4×C61C2×D411yescharacteristic
142C22×C4×C61C2×D412yes—
143C22×C4×C61C2×D411yescharacteristic
144C22×C4×C61C2×D411yescharacteristic
145C22×C4×C61C2×D411yescharacteristic
146C22×C4×C61C2×D411yescharacteristic
147C22×C4×C61#4112yes—
148C22×C4×C61#4112yes—
149C2×C22⋊D61—22no—
150C2×C22⋊D61—22no—
151C2×C22⋊D61—22no—
152C2×C22⋊D61—22no—
153C2×C22⋊D61C22×C414yes—
154C2×C22⋊D61C2×D414yes—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—22no—
162C22×Dic61C22×C412yes—
163C22×Dic61C2×D412yes—
164C22×Dic61C2×D414yes—
165#11758222—24no—
166#11758222—24no—
167#11758222—24no—
168#11758222—24no—
169#11758222—24no—
170#11758222—24no—
171#11758222—24no—
172#11758222—24no—
173C2×D244—21no—
174C2×D244—21no—
175C2×D244—22no—
176C2×D244—28no—
177C2×D244—48no—
178C2×D244C22⋊C414yescomplemented
179C2×C4×D61—22no—
180C2×C4×D61—22no—
181C2×C4×D61—24no—
182C2×C4×D61—24no—
183C2×C4×D61—24no—
184C2×C4×D61—24no—
185C2×C4×D61—24no—
186C2×C4×D61—24no—
187C2×C4×D61—24no—
188C2×C4×D61—28no—
189C2×C4×D61—41no—
190C2×C4×D61—41no—
191C2×C4×D61—41no—
192C2×C4×D61—41no—
193C2×C4×D61—42no—
194C2×C4×D61—42no—
195C2×C4×D61—42no—
196C2×C4×D61—42no—
197C2×C4×D61—42no—
198C2×C4×D61—42no—
199C2×C4×D61C22⋊C418yescomplemented
200C2×Dic122—21no—
201C2×Dic122—21no—
202C2×Dic122—22no—
203C2×Dic122C22⋊C414yescomplemented
204C4⋊C4×C61—24no—
205C4⋊C4×C61—22no—
206C4⋊C4×C61—22no—
207C4⋊C4×C61—42no—
208C22⋊C4×C61—22no—
209C22⋊C4×C61—22no—
210C22⋊C4×C61—22no—
211C22⋊C4×C61—22no—
212C22⋊C4×C61—22no—
213C22⋊C4×C61C22×C414yes—
214C42×C61—24no—
215C42×C61—22no—
216C42×C61—22no—
217C42×C61—42no—
218C22⋊Dic61—22no—
219C22⋊Dic61—22no—
220C22⋊Dic61—22no—
221C22⋊Dic61—22no—
222#11758198—28no—
223#11758198—28no—
224#11758198—28no—
225#11758198—48no—
226#11758198—48no—
227C4⋊Dic61—22no—
228C4⋊Dic61—22no—
229C4⋊Dic61—28no—
230C4⋊Dic61—42no—
231#11758196—28no—
232C4×Dic61—28no—
233C4×Dic61—22no—
234C4×Dic61—22no—
235C4×Dic61—42no—
236C23×C61—42no—
237C23×C61C23×C411yescharacteristic
238C23×C61C22×D411yescharacteristic
239C23×C61C22×D411yescharacteristic
240C23×C61C22×D411yescharacteristic
241C23×C61C22×D411yescharacteristic
242C23×C61C2×#4111yescharacteristic
243C23×C61C2×#4111yescharacteristic
244C22×D61—24no—
245C22×D61—24no—
246C22×D61—24no—
247C22×D61—22no—
248C22×D61—22no—
249C22×D61—22no—
250C22×D61—22no—
251C22×D61—22no—
252C22×D61—44no—
253C22×D61—44no—
254C22×D61—44no—
255C22×D61—44no—
256C22×D61—42no—
257C22×D61—42no—
258C22×D61—42no—
259C22×D61—41no—
260C22×D61—41no—
261C22×D61—41no—
262C22×D61—41no—
263C22×D61—44no—
264C22×D61C2×C22⋊C414yes—
265C2×C4×C61—24no—
266C2×C4×C61—24no—
267C2×C4×C61—44no—
268C2×C4×C61—44no—
269C2×C4×C61—44no—
270C2×C4×C61—42no—
271C2×C4×C61C2×C22⋊C412yes—
272C2×C4×C61C2×C22⋊C412yes—
273C2×C4×C61C4×D412yes—
274C2×C4×C61C4×D412yes—
275C2×C4×C61C4×D412yes—
276C2×C4×C61C4×D412yes—
277C2×C4×C61#12011yescharacteristic
278C2×C4×C61#12011yescharacteristic
279C2×C4×C61#12011yescharacteristic
280C2×C4×C61#12011yescharacteristic
281C2×C4×C61#12112yes—
282C2×C4×C61#12112yes—
283C2×C4×C61#12112yes—
284C2×C4×C61#12112yes—
285C2×C4×C61#12312yes—
286C2×C4×C61#12312yes—
287C22⋊D61—24no—
288C22⋊D61—24no—
289C22⋊D61—24no—
290C22⋊D61—24no—
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—22no—
295C2×Dic61—22no—
296C2×Dic61—24no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—44no—
302C2×Dic61—44no—
303C2×Dic61—42no—
304C2×Dic61C2×C22⋊C414yes—
305D244—24no—
306D244—24no—
307D244—416no—
308C4×D61—28no—
309C4×D61—28no—
310C4×D61—44no—
311C4×D61—44no—
312C4×D61—44no—
313C4×D61—44no—
314C4×D61—88no—
315Dic122—24no—
316Dic122—24no—
317#20959—611nomaximal, Sylow
318C22×C61—22no—
319C22×C61—22no—
320C22×C61—22no—
321C22×C61—41no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61C22×C22⋊C411yescharacteristic
326C22×C61C2×C4×D411yescharacteristic
327C22×C61C2×C4×D411yescharacteristic
328C22×C61C2×#12011yescharacteristic
329C22×C61C2×#12111yescharacteristic
330C22×C61C2×#12111yescharacteristic
331C22×C61C2×#12311yescharacteristic
332C2×D61—24no—
333C2×D61—24no—
334C2×D61—24no—
335C2×D61—24no—
336C2×D61—44no—
337C2×D61—42no—
338C2×D61—44no—
339C2×D61—42no—
340C2×D61—42no—
341C2×D61—44no—
342C2×D61—44no—
343C2×D61—44no—
344C2×D61—42no—
345C2×D61—44no—
346C2×D61—82no—
347C4×C61—44no—
348C4×C61—44no—
349C4×C61—82no—
350C4×C61#38612yes—
351C4×C61#38612yes—
352C4×C61#38612yes—
353C4×C61#38612yes—
354Dic61—24no—
355Dic61—44no—
356Dic61—42no—
357Dic61—82no—
358C2×#525—611no—
359#3428—611no—
360C2×#410—611no—
361#2280—611no—
362#2280—611no—
363#1890—614no—
364#1889—614no—
365#1740—611no—
366#1740D6111yescharacteristic, complemented
367C2×C61—21no—
368C2×C61—21no—
369C2×C61—21no—
370C2×C61—21no—
371C2×C61—21no—
372C2×C61—21no—
373C2×C61C2×#38611yescharacteristic
374C2×C61#302512yes—
375D61—44no—
376D61—44no—
377C22×#41—611no—
378C24×C4—611no—
379#525—618no—
380#525—1224no—
381C2×#123—612no—
382C2×C22⋊Q8—1221no—
383C2×#121—1221no—
384C2×#120—612no—
385#520—1222no—
386#520—1222no—
387#519—1221no—
388#518—614no—
389#518—1221no—
390C4×#41—1222no—
391C4×#41—1222no—
392C2×C4×D4—1222no—
393C2×#117—611no—
394C2×#117—611no—
395C2×#117—1222no—
396C2×#117C2×D6111yescharacteristic
397C2×#117C2×D6111yescharacteristic
398C2×#117C2×D6111yescharacteristic
399#410—1224no—
400C2×#99—614no—
401#381—612no—
402#381—612no—
403#380—1222no—
404#380—1222no—
405#379—612no—
406#379—612no—
407C4×C22⋊C4—1222no—
408C4×C22⋊C4—1222no—
409#342—614no—
410#342C2×D6114yes—
411C61#2095911yescharacteristic, complemented, Sylow
412C25—611no—
413C2×#41—614no—
414C2×#41—614no—
415C2×#41—1221no—
416C2×#41—1221no—
417C2×#41—1222no—
418C2×#41—1221no—
419C2×#41—1221no—
420C2×#41—1222no—
421C22×Q8—611no—
422C22×D4—612no—
423C22×D4—611no—
424C22×D4—1222no—
425C23×C4—612no—
426C23×C4—611no—
427C23×C4—614no—
428C23×C4—1221no—
429C23×C4—1221no—
430C23×C4—1222no—
431C23×C4—1221no—
432C23×C4—1221no—
433C23×C4—1222no—
434C23×C4—1221no—
435C23×C4—1221no—
436C23×C4—1222no—
437C23×C4C22×D6111yescharacteristic
438#123—618no—
439#123—1224no—
440C22⋊Q8—1228no—
441#121—1228no—
442#120—618no—
443#120—1224no—
444C4×Q8—1224no—
445C4×Q8—1224no—
446C4×D4—12216no—
447C4×D4—1224no—
448C4×D4—1228no—
449C4×D4—1224no—
450C4×D4—1228no—
451#117—21no—
452#117—21no—
453#117—21no—
454#117—21no—
455#117—22no—
456#117—22no—
457#117—22no—
458#117—1224no—
459#117—1224no—
460#117—1224no—
461#117—1221no—
462#117—1221no—
463#117—1221no—
464#117—1221no—
465#117—1222no—
466#117—1222no—
467#117C4×D6114yescomplemented
468C2×C4⋊C4—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—612no—
471C2×C4⋊C4—1224no—
472C2×C4⋊C4—1222no—
473C2×C4⋊C4—1221no—
474C2×C4⋊C4D24412yescomplemented
475C2×C22⋊C4—612no—
476C2×C22⋊C4—612no—
477C2×C22⋊C4—1224no—
478C2×C22⋊C4—1222no—
479C2×C22⋊C4—1222no—
480C2×C22⋊C4—1224no—
481C2×C22⋊C4—1224no—
482C2×C22⋊C4C22×D6112yes—
483C2×C22⋊C4C22×D6112yes—
484C2×C22⋊C4C22×D6112yes—
485C2×C42—21no—
486C2×C42—21no—
487C2×C42—612no—
488C2×C42—1224no—
489C2×C42—1221no—
490C2×C42D24412yescomplemented
491#99—1228no—
492#95—1224no—
493#95—1224no—
494C24—612no—
495C24—612no—
496C24—1221no—
497C24—1221no—
498C24—1221no—
499C24—1221no—
500C24—1221no—
501C24—1221no—
502C24—2444no—
503C24C23×D6111yescharacteristic
504#41—1224no—
505#41—1224no—
506#41—1224no—
507#41—1224no—
508#41—1224no—
509#41—1224no—
510#41—1224no—
511#41—1224no—
512C2×Q8—614no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×Q8—1222no—
516C2×D4—614no—
517C2×D4—614no—
518C2×D4—614no—
519C2×D4—1228no—
520C2×D4—1222no—
521C2×D4—1222no—
522C2×D4—1222no—
523C2×D4—1222no—
524C2×D4—1221no—
525C2×D4—1221no—
526C2×D4—1222no—
527C2×D4—2448no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—612no—
531C22×C4—618no—
532C22×C4—612no—
533C22×C4—614no—
534C22×C4—1228no—
535C22×C4—1222no—
536C22×C4—1222no—
537C22×C4—1224no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1224no—
545C22×C4—1224no—
546C22×C4—1224no—
547C22×C4—1224no—
548C22×C4—1224no—
549C22×C4—1224no—
550C22×C4—1222no—
551C22×C4—2441no—
552C22×C4—2441no—
553C22×C4—2441no—
554C22×C4—2441no—
555C22×C4—2442no—
556C22×C4—2442no—
557C22×C4—2442no—
558C22×C4—2442no—
559C22×C4—2442no—
560C22×C4—2442no—
561C22×C4C2×C4×D6112yes—
562C22×C4C2×D24414yes—
563C22×C4C2×D24411yescharacteristic
564C22×C4C2×D24411yescharacteristic
565C22×C4#1175822212yes—
566C22×C4D4×D6111yescharacteristic
567C22×C4D4×D6111yescharacteristic
568C22×C4D4×D6112yes—
569C22×C4D4×D6111yescharacteristic
570C22×C4D4×D6111yescharacteristic
571C22×C4#1175822612yes—
572C4⋊C4—24no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—42no—
576C4⋊C4—1228no—
577C4⋊C4—1228no—
578C4⋊C4—1222no—
579C4⋊C4—1222no—
580C4⋊C4—2442no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—1228no—
587C22⋊C4—1228no—
588C22⋊C4—1228no—
589C22⋊C4—1222no—
590C22⋊C4—1222no—
591C22⋊C4—1222no—
592C22⋊C4—1222no—
593C22⋊C4—2448no—
594C22⋊C4—2448no—
595C22⋊C4C2×C4×D6114yes—
596C42—24no—
597C42—22no—
598C42—22no—
599C42—42no—
600C42—1228no—
601C42—1222no—
602C42—1222no—
603C42—2442no—
604C23—42no—
605C23—614no—
606C23—1224no—
607C23—1224no—
608C23—1224no—
609C23—1222no—
610C23—1222no—
611C23—1222no—
612C23—1222no—
613C23—1222no—
614C23—2444no—
615C23—2442no—
616C23—2442no—
617C23—2442no—
618C23—2444no—
619C23—2444no—
620C23—2444no—
621C23—2444no—
622C23—2441no—
623C23—2441no—
624C23—2441no—
625C23—2441no—
626C23C22×C4×D6111yescharacteristic
627C23C2×D4×D6111yescharacteristic
628C23C2×D4×D6111yescharacteristic
629C23C2×D4×D6111yescharacteristic
630C23C22×D24411yescharacteristic
631C23C2×#1175822211yescharacteristic
632C23C2×#1175822611yescharacteristic
633Q8—1224no—
634Q8—1224no—
635D4—1224no—
636D4—1224no—
637D4—1224no—
638D4—1224no—
639D4—1224no—
640D4—1224no—
641D4—24416no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—44no—
645C2×C4—44no—
646C2×C4—44no—
647C2×C4—42no—
648C2×C4—614no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1228no—
652C2×C4—1228no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1224no—
657C2×C4—4888no—
658C2×C4—2444no—
659C2×C4—2442no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2444no—
665C2×C4—2444no—
666C2×C4—2444no—
667C2×C4—2444no—
668C2×C4—2444no—
669C2×C4C22⋊C4×D6112yes—
670C2×C4C22⋊C4×D6112yes—
671C2×C4#1451973912yes—
672C2×C4#1451973912yes—
673C2×C4C4×D24412yes—
674C2×C4C4×D24412yes—
675C2×C4#1451974711yescharacteristic
676C2×C4#1451974711yescharacteristic
677C2×C4#1451974711yescharacteristic
678C2×C4#1451974711yescharacteristic
679C2×C4#1451975012yes—
680C2×C4#1451975012yes—
681C2×C4#1451975212yes—
682C2×C4#1451975212yes—
683C2×C4#1451976212yes—
684C2×C4#1451976212yes—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—1224no—
693C22—1224no—
694C22—1224no—
695C22—1224no—
696C22—4882no—
697C22—2444no—
698C22—2442no—
699C22—2444no—
700C22—2444no—
701C22—2442no—
702C22—2442no—
703C22—2444no—
704C22—2442no—
705C22—2444no—
706C22—2444no—
707C22C2×C22⋊C4×D6111yescharacteristic
708C22C2×#1451973911yescharacteristic
709C22C2×C4×D24411yescharacteristic
710C22C2×#1451974711yescharacteristic
711C22C2×#1451975011yescharacteristic
712C22C2×#1451975211yescharacteristic
713C22C2×#1451976211yescharacteristic
714C4—44no—
715C4—44no—
716C4—82no—
717C4—1224no—
718C4—4882no—
719C4—2442no—
720C4—2444no—
721C4#1683964012yes—
722C4#1683964012yes—
723C4#1683964012yes—
724C4#1683964012yes—
725C2—21no—
726C2—21no—
727C2—21no—
728C2—21no—
729C2—21no—
730C2—21no—
731C2—2444no—
732C2—2444no—
733C2C2×#1683964011yescharacteristic
734C2#2145521312yes—
subgroupG/H
centerC2×C4#14519747
commutatorC23×C61C23×C4
FrattiniC24C23×D61
FittingC61×#1740C2
socleC22×C61C2×#120
prime radicalC2×#16840274C2
cosocleC24×C61C24
hypercenter#1740D61
hypocenterC61#20959
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #1740

Complements

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

NH ≅ G/Ntype
2. #21459020C2semidirect
3. C2×#16839735C2semidirect
4. #21448198C2semidirect
5. #21448198C2semidirect
6. #21446231C2semidirect
7. #21446226C2semidirect
8. #21445551C2semidirect
9. C61×#1740C2semidirect
13. #16840274C4semidirect
67. C22×C4×D61C2×C4semidirect
70. #14519761C2×C4semidirect
74. #14519747C2×C4semidirect
93. C2×C4⋊Dic61D4semidirect
103. C2×C4×Dic61D4semidirect
116. #117×C61C2×C4semidirect
119. C2×C4⋊C4×C61D4semidirect
125. C2×C42×C61D4semidirect
178. C2×D244C22⋊C4semidirect
199. C2×C4×D61C22⋊C4semidirect
203. C2×Dic122C22⋊C4semidirect
366. #1740D61semidirect
411. C61#20959semidirect
467. #117C4×D61semidirect
474. C2×C4⋊C4D244semidirect
490. C2×C42D244semidirect

Maximal subgroups

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

subgroupindex
C2×#168402742
#214590202
C2×#168397352
#214481982
#214462312
#214462262
#214455512
C61×#17402
#2095961