Finite Group Databasebeta

← #30611323

Subgroups — #30611323

Order 15616.

1298 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462409C211yesmaximal, characteristic, complemented
2#21462322C211yesmaximal, characteristic, complemented
3#21461258C211yesmaximal, characteristic, complemented
4#21461247C212yesmaximal, complemented
5#21461236C211yesmaximal, characteristic, complemented
6#21461227C212yesmaximal, complemented
7#21461218C211yesmaximal, characteristic, complemented
8#21461207C212yesmaximal, complemented
9#21461196C211yesmaximal, characteristic, complemented
10C2×#16840615C212yesmaximal, complemented
11#21459500C211yesmaximal, characteristic
12C2×#14519864—21no—
13C2×D4×#6923—21no—
14#16840737—21no—
15#16840735—22no—
16#16840734C2212yes—
17#16840733C2211yescharacteristic
18C2×#14519834C2212yes—
19D61⋊(C22⋊C8)C2211yescharacteristic
20(C2×#6923)⋊Q8—21no—
21#16840710—22no—
22#16840705C2212yes—
23#16840704C2211yescharacteristic
24C4×C22⋊#6923C2211yescharacteristic
25C2×(C2×#6923)⋊C4C2212yes—
26#16840615C2212yes—
27#16840615C2212yes—
28#16840615C2211yescharacteristic
29#16840615C2212yes—
30#16840615C2212yes—
31#16840615C2211yescharacteristic
32#16840615C2212yes—
33#16840614C2211yescharacteristic
34#16840614C2211yescharacteristic
35#16840614C2212yes—
36C2×#14519824C411yescharacteristic, complemented
37C2×#41×D61C2211yescharacteristic
38Q8×D244—21no—
39#16840424—21no—
40#16840416—21no—
41#16840416—22no—
42#16840407—21no—
43#16840407—22no—
44#16840343C411yescharacteristic, complemented
45#16840343C412yescomplemented
46#16840338C412yescomplemented
47#16840338C411yescharacteristic, complemented
48#16840274C2211yescharacteristic
49#16840274C2212yes—
50C2×#14519757C2211yescharacteristic
51C2×#14519757C2212yes—
52C61×#520C411yescharacteristic, complemented
53C23×#6923—22no—
54#14519864—44no—
55C2×#11758213—21no—
56C2×#11758217—22no—
57C2×D61⋊C8—21no—
58C22×#92420—22no—
59D4×#6923—44no—
60C2×C4⋊#6923—21no—
61C2×C22⋊#6923—22no—
62C2×C22⋊#6923—21no—
63C2×C22⋊#6923—21no—
64C2×C4×#6923—21no—
65#14519834—22no—
66#14519834—22no—
67#14519834C2311yescharacteristic
68#14519834C2311yescharacteristic
69#14519834C2312yes—
70C22⋊#92420—21no—
71C22⋊#92420—21no—
72(C2×#6923)⋊C4—22no—
73(C2×#6923)⋊C4—22no—
74(C2×#6923)⋊C4C2312yes—
75(C2×#6923)⋊C4C2311yescharacteristic
76(C2×#6923)⋊C4C2311yescharacteristic
77#14519824—44no—
78C2×#11758226D411yescharacteristic
79C2×#11758222C2×C411yescharacteristic
80C2×#11758222C2×C412yes—
81C2×#11758222C2×C412yescomplemented
82C2×#11758222C2×C411yescharacteristic, complemented
83C2×#11758224—22no—
84C2×#11758224—21no—
85C2×#11758224D411yescharacteristic
86C2×#11758224D412yes—
87#41×D61—44no—
88C22×Dic122C2×C412yescomplemented
89C22×Dic122C2×C411yescharacteristic, complemented
90C2×Q8×D61—21no—
91C2×Q8×D61D411yescharacteristic
92C2×D4×D61D411yescharacteristic
93C2×D4×D61D412yes—
94C22×C4×D61C2311yescharacteristic
95C22×C4×D61C2312yes—
96#14519777—21no—
97#14519777—22no—
98#14519765—21no—
99#14519765—22no—
100#14519761—22no—
101#14519761—22no—
102#14519761—22no—
103#14519761—22no—
104#14519761—21no—
105#14519757—21no—
106#14519757—22no—
107#14519757—21no—
108#14519757—22no—
109#14519757—21no—
110#14519757—22no—
111#14519757C2×C412yescomplemented
112#14519757C2×C412yescomplemented
113#14519757C2×C412yescomplemented
114#14519757C2×C411yescharacteristic, complemented
115#14519757C2×C412yescomplemented
116#14519757C2312yes—
117#14519757C2311yescharacteristic
118#14519752—21no—
119#14519752—22no—
120#14519752C2×C411yescharacteristic, complemented
121#14519752C2×C412yescomplemented
122#14519752C2311yescharacteristic
123#14519751—22no—
124#14519751—22no—
125#14519751—22no—
126#14519747—22no—
127#14519747—21no—
128C4×D244—21no—
129C4×D244—22no—
130C4×D244—21no—
131C4×D244—22no—
132C2×C4⋊Dic61—22no—
133C2×C4⋊Dic61—21no—
134C2×#11758198—22no—
135C2×#11758198—21no—
136C2×#41×C61C2×C411yescharacteristic
137C4×Q8×C61—21no—
138C4×D4×C61—22no—
139C4×D4×C61—21no—
140#117×C61C2×C411yescharacteristic, complemented
141#117×C61C2×C412yescomplemented
142C2×C4⋊C4×C61C2×C411yescharacteristic, complemented
143C2×C4⋊C4×C61C2×C412yescomplemented
144C23×D61C2×D412yes—
145C23×D61C2×D411yescharacteristic
146C22×#6923—21no—
147C22×#6923—21no—
148C22×#6923—22no—
149C22×#6923—44no—
150C22×#6923—44no—
151C22×#6923—82no—
152#41×C61—24no—
153C2×Q8×C61C22⋊C411yescharacteristic
154C2×D4×C61C22⋊C412yes—
155C2×D4×C61C22⋊C411yescharacteristic
156C22×C4×C61—21no—
157C22×C4×C61—22no—
158C22×C4×C61C22×C412yes—
159C22×C4×C61C22×C411yescharacteristic
160C2×C22⋊D61—21no—
161C2×C22⋊D61—22no—
162C2×C22⋊D61C22⋊C412yes—
163C2×C22⋊D61C22⋊C412yes—
164C2×C22⋊D61C22⋊C412yes—
165C22×Dic61—21no—
166C22×Dic61—22no—
167C22×Dic61C2×D412yes—
168C22×Dic61C2×D411yescharacteristic
169#11758226—42no—
170Q8×D61—42no—
171Q8×D61—44no—
172#11758224—24no—
173#11758224—44no—
174#11758224—48no—
175#11758224—44no—
176D4×D61—24no—
177D4×D61—44no—
178#11758222—42no—
179#11758222—44no—
180#11758222—44no—
181#11758222—42no—
182C2×D244—21no—
183C2×D244—21no—
184C2×D244—22no—
185C2×D244C22⋊C411yescharacteristic
186C2×D244C22⋊C412yes—
187C2×D244C22×C411yescharacteristic
188C2×C4×D61—22no—
189C2×C4×D61—21no—
190C2×C4×D61—42no—
191C2×C4×D61—44no—
192C2×C4×D61C22×C411yescharacteristic
193C2×C4×D61C22×C412yes—
194C2×C4×D61C2×D411yescharacteristic
195C2×C4×D61C2×D411yescharacteristic
196C2×C4×D61C2×D412yes—
197C2×C4×D61C2×D412yes—
198C2×C4×D61C2411yescharacteristic
199C2×Dic122—22no—
200C2×Dic122—21no—
201C2×Dic122—44no—
202C2×Dic122—42no—
203C2×Dic122C22⋊C411yescharacteristic
204C2×Dic122C22⋊C412yes—
205C2×Dic122C22×C411yescharacteristic
206C2×Dic122C22×C412yes—
207C22⋊#6923—42no—
208C22⋊#6923—44no—
209C22⋊#6923—81no—
210#11758217—44no—
211C2×#92420—21no—
212C2×#92420—22no—
213C2×#92420—21no—
214C2×#92420—44no—
215C4⋊#6923—42no—
216C4×#6923—42no—
217#11758213—42no—
218D61⋊C8—42no—
219C4⋊C4×C61—22no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61C22×C412yes—
222C4⋊C4×C61C22×C411yescharacteristic
223C4⋊C4×C61C22×C411yescharacteristic
224C22⋊C4×C61—21no—
225C22⋊C4×C61—22no—
226C42×C61—22no—
227C42×C61—21no—
228#11758198—22no—
229#11758198—22no—
230#11758198—22no—
231#11758198—21no—
232#11758198—22no—
233#11758198—21no—
234#11758198—22no—
235#11758198—22no—
236#11758198—21no—
237#11758198—21no—
238C4⋊Dic61—22no—
239C4⋊Dic61—22no—
240C4⋊Dic61—22no—
241C4⋊Dic61—22no—
242C4⋊Dic61—21no—
243C4⋊Dic61—21no—
244C4⋊Dic61—22no—
245C23×C61C2×C22⋊C411yescharacteristic
246C23×C61C2×C22⋊C412yes—
247C22×D61—24no—
248C22×D61—22no—
249C22×D61—22no—
250C22×D61—21no—
251C22×D61—21no—
252C22×D61—21no—
253C22×D61—42no—
254C22×D61—41no—
255C22×D61—41no—
256C22×D61C2×C22⋊C411yescharacteristic
257C22×D61C2×C22⋊C412yes—
258C22×D61C22×D411yescharacteristic
259C2×#6923—22no—
260C2×#6923—41no—
261C2×#6923—41no—
262C2×#6923—41no—
263C2×#6923—42no—
264C2×#6923—41no—
265C2×#6923—42no—
266C2×#6923—42no—
267C2×#6923—41no—
268C2×#6923—88no—
269Q8×C61—22no—
270D4×C61—24no—
271D4×C61#9914yes—
272C2×C4×C61—24no—
273C2×C4×C61—22no—
274C2×C4×C61—21no—
275C2×C4×C61—22no—
276C2×C4×C61—21no—
277C2×C4×C61—82no—
278C2×C4×C61—81no—
279C2×C4×C61C2×C22⋊C412yes—
280C2×C4×C61C2×C22⋊C411yescharacteristic
281C2×C4×C61C23×C411yescharacteristic
282C22⋊D61—24no—
283C22⋊D61—24no—
284C22⋊D61—42no—
285C22⋊D61—42no—
286C22⋊D61—44no—
287C2×Dic61—24no—
288C2×Dic61—21no—
289C2×Dic61—22no—
290C2×Dic61—41no—
291C2×Dic61—42no—
292C2×Dic61—44no—
293C2×Dic61C2×C22⋊C412yes—
294C2×Dic61C2×C22⋊C411yescharacteristic
295C2×Dic61C22×D411yescharacteristic
296D244—22no—
297D244—42no—
298D244—41no—
299D244—41no—
300D244—41no—
301D244—82no—
302D244—81no—
303C4×D61—22no—
304C4×D61—22no—
305C4×D61—41no—
306C4×D61—42no—
307C4×D61—41no—
308C4×D61—42no—
309C4×D61—42no—
310C4×D61—44no—
311C4×D61—42no—
312Dic122—22no—
313Dic122—42no—
314Dic122—44no—
315Dic122—42no—
316Dic122—41no—
317Dic122—42no—
318#92420—41no—
319#92420—41no—
320#92420—42no—
321#17608—611nomaximal, Sylow
322C22×C61—22no—
323C22×C61—22no—
324C22×C61—21no—
325C22×C61—21no—
326C22×C61—21no—
327C22×C61C2×#9914yes—
328C22×C61C22×C22⋊C411yescharacteristic
329C2×D61—21no—
330C2×D61—21no—
331C2×D61—21no—
332C2×D61—22no—
333C2×D61—22no—
334C2×D61—21no—
335C2×D61—22no—
336C2×D61—21no—
337C2×D61—44no—
338C2×D61—44no—
339C2×D61—41no—
340C2×D61—41no—
341C2×D61—41no—
342C2×D61—81no—
343C2×D61—81no—
344C2×D61#57711yescharacteristic
345C2×D61#57811yescharacteristic
346#6923—42no—
347#6923—81no—
348#6923—82no—
349C4×C61—21no—
350C4×C61—22no—
351C4×C61—41no—
352C4×C61—41no—
353C4×C61—42no—
354C4×C61C2×#9912yes—
355Dic61—21no—
356Dic61—22no—
357Dic61—21no—
358Dic61—41no—
359Dic61—42no—
360#3489—611no—
361#2880—611no—
362#2339—611no—
363#1520—611no—
364#1516—612no—
365#1513—611no—
366#1511—612no—
367#1508—611no—
368#1504—612no—
369#1501—611no—
370C2×#328—612no—
371C2×C61—24no—
372C2×C61—41no—
373C2×C61C22×#9911yescharacteristic
374C2×C61#289811yescharacteristic
375C2×C61#290111yescharacteristic
376D61—21no—
377D61—21no—
378D61—42no—
379D61—41no—
380D61—81no—
381C2×2−1+4—611no—
382C22×#41—611no—
383C2×#131—1221no—
384D4×Q8—1221no—
385#548—1221no—
386#547—1221no—
387#547—1222no—
388#546—1221no—
389#546—1222no—
390#537—612no—
391#537—611no—
392#536—611no—
393#536—612no—
394#525—611no—
395#525—612no—
396C2×C22⋊Q8—612no—
397C2×C22⋊Q8—611no—
398#520#692311yescharacteristic, complemented
399C2×C4×D4—1221no—
400#408—1222no—
401#408—1221no—
402#407—611no—
403#407—612no—
404C2×C22⋊C8—611no—
405C2×C22⋊C8—612no—
406#391—1221no—
407#386—1222no—
408#381—612no—
409#380—611no—
410C4×C22⋊C4—611no—
411C2×#95—612no—
412#328—611no—
413#328—612no—
414#328—612no—
415#328—612no—
416#328—611no—
417#328—612no—
418#328—612no—
419#327—611no—
420#327—611no—
421#327—612no—
422C61#1760811yescharacteristic, complemented, Sylow
4232−1+4—2444no—
424C2×#41—611no—
425C2×#41—611no—
426C2×#41—612no—
427C2×#41—612no—
428C2×#41—611no—
429C2×#41—612no—
430C2×#41—611no—
431C2×#41—1222no—
432C2×#41—1221no—
433C2×#41—2444no—
434C2×#41C2×#692311yescharacteristic
435C22×Q8—611no—
436C22×Q8—611no—
437C22×Q8—612no—
438C22×Q8—1221no—
439C22×D4—611no—
440C22×D4—612no—
441C23×C4—612no—
442C23×C4—611no—
443C23×C4—1222no—
444#131—2444no—
445C2×M16—1222no—
446C2×M16—1221no—
447C22×C8—1222no—
448C22×C8—1221no—
449C4⋊Q8—1221no—
450C4⋊Q8—1222no—
451#124—1221no—
452#124—1222no—
453#123—1222no—
454#123—1221no—
455#123—1222no—
456#123—1222no—
457#123—1222no—
458C22⋊Q8—611no—
459C22⋊Q8—612no—
460C22⋊Q8—612no—
461C22⋊Q8—612no—
462C22⋊Q8—612no—
463C22⋊Q8—611no—
464C22⋊Q8—612no—
465C22⋊Q8—1221no—
466C22⋊Q8—1222no—
467C22⋊Q8—1221no—
468C22⋊Q8—1222no—
469C22⋊Q8—1221no—
470C22⋊Q8—1222no—
471#121—611no—
472#121—611no—
473#121—612no—
474#121—1221no—
475#121—1222no—
476#121—1222no—
477#121—1222no—
478#121—1222no—
479#120—1222no—
480#120—1221no—
481C4×Q8—21no—
482C4×D4—22no—
483C4×D4—21no—
484C4×D4—1221no—
485C4×D4—1222no—
486C4×D4—1221no—
487C4×D4—1222no—
488C4×D4—2444no—
489#117C2×#692311yescharacteristic, complemented
490#117C2×#692312yescomplemented
491C2×C4⋊C4—1222no—
492C2×C4⋊C4—1221no—
493C2×C4⋊C4—1221no—
494C2×C4⋊C4C2×#692312yescomplemented
495C2×C4⋊C4C2×#692311yescharacteristic, complemented
496C2×C22⋊C4—1222no—
497C2×C22⋊C4—1221no—
498C2×C22⋊C4—1221no—
499C2×C22⋊C4—1222no—
500C2×C22⋊C4—1221no—
501C2×C42—1221no—
502C22⋊C8—611no—
503C22⋊C8—611no—
504C22⋊C8—612no—
505C22⋊C8—1221no—
506C22⋊C8—1221no—
507C22⋊C8—1222no—
508C22⋊C8—1222no—
509#95—611no—
510#95—612no—
511#95—611no—
512#95—1222no—
513#95—1222no—
514C24—612no—
515C24—611no—
516#41—24no—
517#41—1224no—
518#41—2444no—
519#41—2442no—
520#41—2444no—
521#41—2442no—
522#41—2444no—
523#41—2442no—
524#41—2448no—
525#41—2444no—
526C2×Q8—611no—
527C2×Q8—612no—
528C2×Q8—612no—
529C2×Q8—611no—
530C2×Q8—1222no—
531C2×Q8—1221no—
532C2×Q8—2442no—
533C2×Q8—2444no—
534C2×Q8—2442no—
535C2×Q8—2444no—
536C2×Q8C22⋊#692311yescharacteristic
537C2×D4—612no—
538C2×D4—612no—
539C2×D4—612no—
540C2×D4—611no—
541C2×D4—612no—
542C2×D4—611no—
543C2×D4—1221no—
544C2×D4—1222no—
545C2×D4—1221no—
546C2×D4—1224no—
547C2×D4—1221no—
548C2×D4—1222no—
549C2×D4—2444no—
550C2×D4C22⋊#692312yes—
551C2×D4C22⋊#692311yescharacteristic
552C22×C4—21no—
553C22×C4—22no—
554C22×C4—612no—
555C22×C4—611no—
556C22×C4—611no—
557C22×C4—611no—
558C22×C4—612no—
559C22×C4—612no—
560C22×C4—611no—
561C22×C4—612no—
562C22×C4—611no—
563C22×C4—1221no—
564C22×C4—1221no—
565C22×C4—1222no—
566C22×C4—1222no—
567C22×C4—1221no—
568C22×C4—1221no—
569C22×C4—1222no—
570C22×C4—4882no—
571C22×C4—2442no—
572C22×C4—2444no—
573C22×C4—2444no—
574C22×C4—2444no—
575C22×C4C22×#692312yes—
576C22×C4C22×#692311yescharacteristic
577M16—2442no—
578M16—2444no—
579C2×C8—1221no—
580C2×C8—1221no—
581C2×C8—1222no—
582C2×C8—2442no—
583C2×C8—2444no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—1221no—
587C4⋊C4—1222no—
588C4⋊C4—1222no—
589C4⋊C4—1222no—
590C4⋊C4—1222no—
591C4⋊C4—1221no—
592C4⋊C4—1222no—
593C4⋊C4—2442no—
594C4⋊C4C22×#692311yescharacteristic
595C4⋊C4C22×#692312yes—
596C4⋊C4C22×#692311yescharacteristic
597C22⋊C4—21no—
598C22⋊C4—22no—
599C22⋊C4—1221no—
600C22⋊C4—1221no—
601C22⋊C4—1222no—
602C22⋊C4—1221no—
603C22⋊C4—1222no—
604C22⋊C4—1222no—
605C22⋊C4—1222no—
606C22⋊C4—1222no—
607C22⋊C4—1221no—
608C22⋊C4—1222no—
609C22⋊C4—4881no—
610C22⋊C4—2442no—
611C22⋊C4—2444no—
612C42—22no—
613C42—21no—
614C42—2442no—
615C23—611no—
616C23—611no—
617C23—612no—
618C23—1221no—
619C23—1221no—
620C23—1222no—
621C23—1222no—
622C23—1224no—
623C23—1221no—
624C23—2441no—
625C23—2441no—
626C23—2442no—
627C23C2×C22⋊#692311yescharacteristic
628C23C2×C22⋊#692312yes—
629Q8—22no—
630Q8—1222no—
631Q8—2442no—
632Q8—2442no—
633Q8—2441no—
634Q8—2444no—
635Q8—2442no—
636D4—24no—
637D4—1224no—
638D4—1224no—
639D4—1222no—
640D4—4881no—
641D4—4882no—
642D4—2442no—
643D4—2441no—
644D4—2441no—
645D4—2441no—
646D4—2442no—
647D4—2442no—
648D4—2444no—
649D4#1451983614yes—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—21no—
655C2×C4—82no—
656C2×C4—81no—
657C2×C4—611no—
658C2×C4—612no—
659C2×C4—611no—
660C2×C4—1224no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—1221no—
666C2×C4—4888no—
667C2×C4—2441no—
668C2×C4—2442no—
669C2×C4—2441no—
670C2×C4—2442no—
671C2×C4—2442no—
672C2×C4—2444no—
673C2×C4—2441no—
674C2×C4—2442no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4—2442no—
678C2×C4—2441no—
679C2×C4—2442no—
680C2×C4—2442no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4—2444no—
684C2×C4—2442no—
685C2×C4C2×C22⋊#692312yes—
686C2×C4C2×C22⋊#692311yescharacteristic
687C2×C4C23×#692311yescharacteristic
688C8—2441no—
689C8—2441no—
690C8—2442no—
691C22—22no—
692C22—22no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—611no—
697C22—611no—
698C22—1221no—
699C22—1221no—
700C22—1221no—
701C22—1222no—
702C22—1221no—
703C22—1222no—
704C22—1221no—
705C22—1222no—
706C22—4881no—
707C22—4881no—
708C22—2444no—
709C22—2444no—
710C22—2441no—
711C22—2441no—
712C22—2441no—
713C22C2×#1451983614yes—
714C22C22×C22⋊#692311yescharacteristic
715C4—21no—
716C4—22no—
717C4—41no—
718C4—41no—
719C4—42no—
720C4—1221no—
721C4—1221no—
722C4—1222no—
723C4—4882no—
724C4—4881no—
725C4—2442no—
726C4—2442no—
727C4—2441no—
728C4C2×#1451983612yes—
729C2—24no—
730C2—41no—
731C2—1221no—
732C2—1221no—
733C2—4881no—
734C2—2441no—
735C2—2442no—
736C2C22×#1451983611yescharacteristic
737C2#2146244111yescharacteristic
738C2#2146244911yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#520C4
socleC22×C61C22×C22⋊C4
prime radical#21459500C2
cosocleC2×C4×D61C24
hypercenter#520#6923
hypocenterC61#17608
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#41 ◁ #520

Complements

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

NH ≅ G/Ntype
1. #21462409C2semidirect
2. #21462322C2semidirect
3. #21461258C2semidirect
4. #21461247C2semidirect
5. #21461236C2semidirect
6. #21461227C2semidirect
7. #21461218C2semidirect
8. #21461207C2semidirect
9. #21461196C2semidirect
10. C2×#16840615C2semidirect
36. C2×#14519824C4semidirect
44. #16840343C4semidirect
45. #16840343C4semidirect
46. #16840338C4semidirect
47. #16840338C4semidirect
52. C61×#520C4semidirect
81. C2×#11758222C2×C4semidirect
82. C2×#11758222C2×C4semidirect
88. C22×Dic122C2×C4semidirect
89. C22×Dic122C2×C4semidirect
111. #14519757C2×C4semidirect
112. #14519757C2×C4semidirect
113. #14519757C2×C4semidirect
114. #14519757C2×C4semidirect
115. #14519757C2×C4semidirect
120. #14519752C2×C4semidirect
121. #14519752C2×C4semidirect
140. #117×C61C2×C4semidirect
141. #117×C61C2×C4semidirect
142. C2×C4⋊C4×C61C2×C4semidirect
143. C2×C4⋊C4×C61C2×C4semidirect
398. #520#6923semidirect
422. C61#17608semidirect
489. #117C2×#6923semidirect
490. #117C2×#6923semidirect
494. C2×C4⋊C4C2×#6923semidirect
495. C2×C4⋊C4C2×#6923semidirect

Maximal subgroups

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

subgroupindex
#214624092
#214623222
#214612582
#214612472
#214612362
#214612272
#214612182
#214612072
#214611962
C2×#168406152
#214595002
#1760861