Finite Group Databasebeta

← #29828825

Subgroups — #29828825

Order 15616.

1608 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839962C211yesmaximal, characteristic, complemented
2C2×#16839957C211yesmaximal, characteristic, complemented
3C2×#16839907C212yesmaximal, complemented
4#21454164C211yesmaximal, characteristic, complemented
5#21446174C212yesmaximal, complemented
6#21446167C212yesmaximal, complemented
7#21446141C212yesmaximal, complemented
8#21445824C211yesmaximal, characteristic, complemented
9#21445819C211yesmaximal, characteristic, complemented
10#21445799C211yesmaximal, characteristic, complemented
11C2×C4×#41×C61C211yesmaximal, characteristic, complemented
12C22×#11758201C2212yes—
13C22×#11758199C2212yes—
14C2×#14519774C2211yescharacteristic
15C2×#14519751—21no—
16C2×#14519751—21no—
17C2×#14519751C2212yes—
18#16839962—24no—
19#16839957—24no—
20#16839907—28no—
21C2×C4⋊#92418C2211yescharacteristic
22C2×C4⋊#92418C2211yescharacteristic
23C2×#14519701C2212yes—
24C2×#14519698C2212yes—
25C2×#14519697C2212yes—
26C2×#14519697C2212yes—
27C2×C22⋊#92418C2212yes—
28#16839664—21no—
29#16839664—21no—
30#16839664C2212yes—
31#16839632C2211yescharacteristic
32#16839524C2212yes—
33#16839524C2212yes—
34#16839517C2212yes—
35C22×#41×C61C2211yescharacteristic
36C4×#41×C61—24no—
37C4×#41×C61—24no—
38C2×C4×Q8×C61C2211yescharacteristic
39C2×C4×Q8×C61C2211yescharacteristic
40C2×C4×D4×C61—21no—
41C2×C4×D4×C61—21no—
42C2×C4×D4×C61C2211yescharacteristic
43C2×C4×D4×C61C2211yescharacteristic
44C2×#117×C61—21no—
45C2×#117×C61C2211yescharacteristic
46C22×C42×C61—21no—
47C22×C42×C61C2211yescharacteristic
48C22×D244—21no—
49C22×D244—21no—
50C22×D244C2312yes—
51C22×C22⋊D61—22no—
52C2×#11758201—24no—
53C2×#11758201—24no—
54C2×#11758201—24no—
55C2×#11758199—24no—
56C2×#11758199—24no—
57C2×#11758199—24no—
58C22×#92418C2312yes—
59C22×#92418C2312yes—
60#14519774—22no—
61#14519774—22no—
62#14519751—24no—
63#14519751—24no—
64#14519751—44no—
65#14519751—44no—
66C2×C4⋊Dic61—21no—
67C2×C4⋊Dic61—21no—
68C2×C4⋊Dic61C2312yes—
69C2×#11758198—22no—
70C2×#11758198—22no—
71C2×#11758198—22no—
72C4⋊#92418—22no—
73C4⋊#92418—22no—
74#14519701—24no—
75#14519698—24no—
76#14519697—24no—
77#14519697—24no—
78C22⋊#92418—24no—
79C2×#41×C61—22no—
80C2×#41×C61—22no—
81C2×#41×C61—22no—
82C2×#41×C61—22no—
83C2×#41×C61—22no—
84C2×#41×C61D414yescomplemented
85C22×Q8×C61C2311yescharacteristic
86C22×D4×C61—21no—
87C22×D4×C61C2311yescharacteristic
88C23×C4×C61—21no—
89C23×C4×C61—21no—
90C23×C4×C61—21no—
91C23×C4×C61D411yescharacteristic
92C23×C4×C61D411yescharacteristic
93C23×C4×C61C2311yescharacteristic
94C4×Q8×C61—22no—
95C4×Q8×C61—22no—
96C4×Q8×C61—22no—
97C4×Q8×C61D414yescomplemented
98C4×D4×C61—28no—
99C4×D4×C61—28no—
100C4×D4×C61—22no—
101C4×D4×C61—22no—
102C4×D4×C61—22no—
103C4×D4×C61D414yescomplemented
104#117×C61—28no—
105#117×C61—22no—
106#117×C61—22no—
107C2×C4⋊C4×C61—21no—
108C2×C4⋊C4×C61—21no—
109C2×C4⋊C4×C61C2311yescharacteristic
110C2×C4⋊C4×C61C2311yescharacteristic
111C2×C22⋊C4×C61—21no—
112C2×C22⋊C4×C61—21no—
113C2×C22⋊C4×C61—21no—
114C2×C42×C61—28no—
115C2×C42×C61—21no—
116C2×C42×C61—21no—
117C2×C42×C61—21no—
118C2×C42×C61—22no—
119C2×C42×C61—22no—
120C2×C42×C61D411yescharacteristic
121C2×C42×C61D411yescharacteristic
122C2×C42×C61C2311yescharacteristic
123C2×C42×C61C2311yescharacteristic
124C24×C61—21no—
125C24×C61C2×D411yescharacteristic
126C23×D61—22no—
127#41×C61—28no—
128#41×C61—28no—
129#41×C61—28no—
130#41×C61—28no—
131C2×Q8×C61—21no—
132C2×Q8×C61—21no—
133C2×Q8×C61—21no—
134C2×Q8×C61C2×D412yes—
135C2×Q8×C61C2×D412yes—
136C2×Q8×C61#4112yes—
137C2×D4×C61—24no—
138C2×D4×C61—24no—
139C2×D4×C61—24no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61C2×D412yes—
144C2×D4×C61C2×D412yes—
145C2×D4×C61#4112yes—
146C22×C4×C61—24no—
147C22×C4×C61—24no—
148C22×C4×C61—21no—
149C22×C4×C61—24no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—24no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—22no—
158C22×C4×C61—22no—
159C22×C4×C61—24no—
160C22×C4×C61—22no—
161C22×C4×C61—22no—
162C22×C4×C61—22no—
163C22×C4×C61—41no—
164C22×C4×C61—42no—
165C22×C4×C61—42no—
166C22×C4×C61—42no—
167C22×C4×C61—42no—
168C22×C4×C61C2×D411yescharacteristic
169C22×C4×C61C2×D411yescharacteristic
170C22×C4×C61C2×D411yescharacteristic
171C22×C4×C61C2×D412yes—
172C22×C4×C61C2×D411yescharacteristic
173C22×C4×C61C2×D411yescharacteristic
174C22×C4×C61#4112yes—
175C22×C4×C61C2411yescharacteristic
176C2×C22⋊D61—44no—
177C2×C22⋊D61—44no—
178C2×C22⋊D61—44no—
179C22×Dic61—22no—
180C2×D244—22no—
181C2×D244—22no—
182C2×D244—22no—
183C2×D244—22no—
184C2×D244—22no—
185C2×D244—22no—
186C2×D244—42no—
187C2×D244—42no—
188C2×D244—42no—
189C2×D244—42no—
190C2×D244—42no—
191C2×D244—42no—
192C4⋊C4×C61—24no—
193C4⋊C4×C61—24no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61C2×D412yes—
197C4⋊C4×C61C2×D412yes—
198C22⋊C4×C61—24no—
199C22⋊C4×C61—24no—
200C22⋊C4×C61—24no—
201C42×C61—24no—
202C42×C61—24no—
203C42×C61—22no—
204C42×C61—24no—
205C42×C61—22no—
206C42×C61—21no—
207C42×C61—21no—
208C42×C61C2×D412yes—
209C42×C61C2×D412yes—
210#11758201—48no—
211#11758199—48no—
212#11758198—44no—
213#11758198—44no—
214#11758198—44no—
215C4⋊Dic61—22no—
216C4⋊Dic61—22no—
217C4⋊Dic61—42no—
218C4⋊Dic61—42no—
219C2×#92418—22no—
220C2×#92418—22no—
221C2×#92418—22no—
222C2×#92418—22no—
223C2×#92418—22no—
224C2×#92418—22no—
225C23×C61—21no—
226C23×C61—22no—
227C23×C61—22no—
228C23×C61—21no—
229C23×C61—22no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61#12112yes—
239C23×C61C22×D411yescharacteristic
240C22×D61—42no—
241C22×D61—42no—
242C22×D61—42no—
243C22×D61—42no—
244C22×D61—42no—
245C22×D61—42no—
246C22×D61—42no—
247Q8×C61—22no—
248Q8×C61—22no—
249Q8×C61—22no—
250Q8×C61#12114yescomplemented
251D4×C61—216no—
252D4×C61—22no—
253D4×C61—22no—
254D4×C61—22no—
255D4×C61#12114yescomplemented
256C2×C4×C61—216no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
261C2×C4×C61—21no—
262C2×C4×C61—22no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—22no—
269C2×C4×C61—22no—
270C2×C4×C61—21no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—44no—
276C2×C4×C61—48no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—44no—
282C2×C4×C61—48no—
283C2×C4×C61#12012yes—
284C2×C4×C61#12012yes—
285C2×C4×C61#12112yes—
286C2×C4×C61#13512yes—
287C2×C4×C61AGL(1,ℤ/8)12yes—
288C2×C4×C61AGL(1,ℤ/8)12yes—
289C2×C4×C61C22×D411yescharacteristic
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C22×D411yescharacteristic
292C2×C4×C61C2×#4111yescharacteristic
293C2×C4×C61C2×#4111yescharacteristic
294C2×C4×C61C2×#4111yescharacteristic
295C22⋊D61—88no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298C2×Dic61—42no—
299D244—42no—
300D244—42no—
301D244—42no—
302D244—42no—
303D244—84no—
304D244—84no—
305#92418—42no—
306#92418—42no—
307#32904—611nomaximal, Sylow
308C22×C61—22no—
309C22×C61—24no—
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—41no—
313C22×C61—42no—
314C22×C61—41no—
315C22×C61—42no—
316C22×C61—41no—
317C22×C61—42no—
318C22×C61—41no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61C2×#12011yescharacteristic
323C22×C61C2×#12111yescharacteristic
324C22×C61#52511yescharacteristic
325C22×C61C2×#13511yescharacteristic
326C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
327C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
328C22×C61#57511yescharacteristic
329C2×D61—82no—
330C2×D61—82no—
331C2×D61—82no—
332C2×D61—82no—
333C2×D61—82no—
334C2×D61—82no—
335C2×D61—82no—
336C4×C61—22no—
337C4×C61—24no—
338C4×C61—22no—
339C4×C61—22no—
340C4×C61—41no—
341C4×C61—42no—
342C4×C61—42no—
343C4×C61#44914yescomplemented
344C4×C61C2×#12111yescharacteristic
345C4×C61C2×#12111yescharacteristic
346C4×C61#52511yescharacteristic
347C4×C61#52511yescharacteristic
348Dic61—82no—
349C2×C4×#41D6111yescharacteristic, complemented
350C2×#460—611no—
351C2×#459—611no—
352C2×#449—612no—
353#2856—611no—
354#1880—612no—
355#1879—612no—
356#1875—612no—
357#1803—611no—
358#1802—611no—
359#1797—611no—
360C2×C61—42no—
361C2×C61—44no—
362C2×C61#284711yescharacteristic
363C2×C61C2×#44911yescharacteristic
364C2×C61#300611yescharacteristic
365C2×C61#303511yescharacteristic
366C2×C61#303811yescharacteristic
367C2×C61#310611yescharacteristic
368C2×C61#311511yescharacteristic
369D61—162no—
370C22×#41C2×D6111yescharacteristic
371C22×SD16—612no—
372C22×D8—612no—
373C2×#127—611no—
374C2×#121—612no—
375C2×#121—1221no—
376C2×#121—1221no—
377C4×#41—24no—
378C4×#41—24no—
379C2×C4×Q8C2×D6111yescharacteristic
380C2×C4×Q8C2×D6111yescharacteristic
381C2×C4×D4—21no—
382C2×C4×D4—21no—
383C2×C4×D4C2×D6111yescharacteristic
384C2×C4×D4C2×D6111yescharacteristic
385C2×#117—21no—
386C2×#117C2×D6111yescharacteristic
387C22×C42—21no—
388C22×C42C2×D6111yescharacteristic
389#460—1224no—
390#459—1224no—
391#449—1228no—
392C2×C4⋊C8—611no—
393C2×C4⋊C8—611no—
394C2×#103—612no—
395C2×#102—612no—
396C2×#102—612no—
397C2×#102—612no—
398C2×C22⋊C8—612no—
399#390—612no—
400#390—1221no—
401#390—1221no—
402#384—611no—
403#340—612no—
404#340—612no—
405#336—612no—
406C61#3290411yescharacteristic, complemented, Sylow
407C2×#41—22no—
408C2×#41—22no—
409C2×#41—22no—
410C2×#41—22no—
411C2×#41—22no—
412C2×#41D24414yescomplemented
413C22×Q8C22×D6111yescharacteristic
414C22×D4—21no—
415C22×D4—612no—
416C22×D4—1222no—
417C22×D4—1221no—
418C22×D4—1221no—
419C22×D4C22×D6111yescharacteristic
420C23×C4—21no—
421C23×C4—21no—
422C23×C4—21no—
423C23×C4C22⋊D6111yescharacteristic
424C23×C4C22⋊D6111yescharacteristic
425C23×C4C22×D6111yescharacteristic
426C2×SD16—1224no—
427C2×SD16—1224no—
428C2×SD16—1224no—
429C2×D8—1224no—
430C2×D8—1224no—
431C2×D8—1224no—
432C22×C8—612no—
433C22×C8—612no—
434#127—1222no—
435#127—1222no—
436#121—1224no—
437#121—1224no—
438#121—2444no—
439#121—2444no—
440C4×Q8—22no—
441C4×Q8—22no—
442C4×Q8—22no—
443C4×Q8C22⋊D6114yescomplemented
444C4×D4—28no—
445C4×D4—28no—
446C4×D4—22no—
447C4×D4—22no—
448C4×D4—22no—
449C4×D4C22⋊D6114yescomplemented
450#117—28no—
451#117—22no—
452#117—22no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—612no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4C22×D6111yescharacteristic
459C2×C4⋊C4C22×D6111yescharacteristic
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—1222no—
464C2×C22⋊C4—1222no—
465C2×C22⋊C4—1222no—
466C2×C42—28no—
467C2×C42—21no—
468C2×C42—21no—
469C2×C42—21no—
470C2×C42—22no—
471C2×C42—22no—
472C2×C42C22⋊D6111yescharacteristic
473C2×C42C22⋊D6111yescharacteristic
474C2×C42C22×D6111yescharacteristic
475C2×C42C22×D6111yescharacteristic
476C4⋊C8—1222no—
477C4⋊C8—1222no—
478#103—1224no—
479#102—1224no—
480#102—1224no—
481#102—1224no—
482C22⋊C8—1224no—
483C24—21no—
484C24—1222no—
485C24C2×C22⋊D6111yescharacteristic
486#41—28no—
487#41—28no—
488#41—28no—
489#41—28no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8C2×D24412yes—
494C2×Q8#1175822212yes—
495C2×Q8C2×C22⋊D6112yes—
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—1222no—
503C2×D4—1222no—
504C2×D4—1222no—
505C2×D4—1222no—
506C2×D4—1222no—
507C2×D4—1222no—
508C2×D4—2442no—
509C2×D4—2442no—
510C2×D4—2444no—
511C2×D4—2444no—
512C2×D4—2444no—
513C2×D4—2442no—
514C2×D4—2442no—
515C2×D4—2442no—
516C2×D4—2442no—
517C2×D4C2×D24412yes—
518C2×D4#1175822212yes—
519C2×D4C2×C22⋊D6112yes—
520C22×C4—24no—
521C22×C4—24no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—24no—
528C22×C4—24no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—24no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—41no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—1222no—
543C22×C4C2×D24412yes—
544C22×C4#1175822212yes—
545C22×C4C2×C22⋊D6111yescharacteristic
546C22×C4C2×C22⋊D6111yescharacteristic
547C22×C4C2×C22⋊D6111yescharacteristic
548C22×C4C2×C22⋊D6111yescharacteristic
549C22×C4C2×C22⋊D6111yescharacteristic
550C22×C4C23×D6111yescharacteristic
551SD16—2448no—
552D8—2448no—
553C2×C8—1222no—
554C2×C8—1222no—
555C2×C8—1222no—
556C2×C8—1222no—
557C2×C8—1222no—
558C2×C8—1222no—
559C4⋊C4—24no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—24no—
563C4⋊C4—1222no—
564C4⋊C4—1222no—
565C4⋊C4—2442no—
566C4⋊C4—2442no—
567C4⋊C4C2×C22⋊D6112yes—
568C4⋊C4C2×C22⋊D6112yes—
569C22⋊C4—24no—
570C22⋊C4—24no—
571C22⋊C4—24no—
572C22⋊C4—2444no—
573C22⋊C4—2444no—
574C22⋊C4—2444no—
575C42—24no—
576C42—24no—
577C42—21no—
578C42—21no—
579C42—22no—
580C42—24no—
581C42—22no—
582C42C2×C22⋊D6112yes—
583C42C2×C22⋊D6112yes—
584C23—21no—
585C23—22no—
586C23—22no—
587C23—21no—
588C23—22no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—2442no—
598C23—2442no—
599C23—2442no—
600C23—2442no—
601C23—2442no—
602C23—2442no—
603C23—2442no—
604C23#1451975112yes—
605C23C22×C22⋊D6111yescharacteristic
606Q8—22no—
607Q8—22no—
608Q8—22no—
609Q8#1451975114yescomplemented
610D4—216no—
611D4—22no—
612D4—22no—
613D4—22no—
614D4—4884no—
615D4—4888no—
616D4—4884no—
617D4—2442no—
618D4—2442no—
619D4—2442no—
620D4—2442no—
621D4#1451975114yescomplemented
622C2×C4—216no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—44no—
642C2×C4—48no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—44no—
648C2×C4—48no—
649C2×C4—2442no—
650C2×C4—2442no—
651C2×C4—2442no—
652C2×C4#1451974612yes—
653C2×C4#1451974612yes—
654C2×C4#1451975112yes—
655C2×C4#1451979712yes—
656C2×C4#1451980212yes—
657C2×C4#1451980212yes—
658C2×C4C22×C22⋊D6111yescharacteristic
659C2×C4C22×C22⋊D6111yescharacteristic
660C2×C4C22×D24411yescharacteristic
661C2×C4C2×#1175822211yescharacteristic
662C2×C4C2×#1175822211yescharacteristic
663C2×C4C2×#1175822211yescharacteristic
664C8—2442no—
665C8—2442no—
666C22—22no—
667C22—24no—
668C22—22no—
669C22—22no—
670C22—41no—
671C22—42no—
672C22—41no—
673C22—42no—
674C22—42no—
675C22—41no—
676C22—42no—
677C22—42no—
678C22—41no—
679C22—42no—
680C22—4882no—
681C22—4882no—
682C22—4882no—
683C22—4882no—
684C22—4882no—
685C22—4882no—
686C22—4882no—
687C22C2×#1451974611yescharacteristic
688C22C2×#1451975111yescharacteristic
689C22#1684027311yescharacteristic
690C22C2×#1451979711yescharacteristic
691C22C2×#1451980211yescharacteristic
692C22C2×#1451980211yescharacteristic
693C22#1684056011yescharacteristic
694C4—22no—
695C4—24no—
696C4—22no—
697C4—22no—
698C4—41no—
699C4—42no—
700C4—42no—
701C4—4882no—
702C4#1683990714yescomplemented
703C4C2×#1451975111yescharacteristic
704C4C2×#1451975111yescharacteristic
705C4#1684027311yescharacteristic
706C4#1684027311yescharacteristic
707C2—42no—
708C2—44no—
709C2—9762no—
710C2#2145410111yescharacteristic
711C2C2×#1683990711yescharacteristic
712C2#2145507111yescharacteristic
713C2#2145527411yescharacteristic
714C2#2145529911yescharacteristic
715C2#2145587911yescharacteristic
716C2#2145597011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C4×#41×C61C2
socleC23×C61C22×D4
hypercenterC2×C4×#41D61
hypocenterC61#32904
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C22×C42 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. C2×#16839962C2semidirect
2. C2×#16839957C2semidirect
3. C2×#16839907C2semidirect
4. #21454164C2semidirect
5. #21446174C2semidirect
6. #21446167C2semidirect
7. #21446141C2semidirect
8. #21445824C2semidirect
9. #21445819C2semidirect
10. #21445799C2semidirect
11. C2×C4×#41×C61C2semidirect
84. C2×#41×C61D4semidirect
97. C4×Q8×C61D4semidirect
103. C4×D4×C61D4semidirect
250. Q8×C61#121semidirect
255. D4×C61#121semidirect
343. C4×C61#449semidirect
349. C2×C4×#41D61semidirect
406. C61#32904semidirect
412. C2×#41D244semidirect
443. C4×Q8C22⋊D61semidirect
449. C4×D4C22⋊D61semidirect
609. Q8#14519751semidirect
621. D4#14519751semidirect
702. C4#16839907semidirect

Maximal subgroups

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

subgroupindex
C2×#168399622
C2×#168399572
C2×#168399072
#214541642
#214461742
#214461672
#214461412
#214458242
#214458192
#214457992
C2×C4×#41×C612
#3290461