Finite Group Databasebeta

← #30611325

Subgroups — #30611325

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#21462410C211yesmaximal, characteristic, complemented
2#21462322C211yesmaximal, characteristic, complemented
3#21461259C211yesmaximal, characteristic, complemented
4#21461246C212yesmaximal, complemented
5#21461236C211yesmaximal, characteristic, complemented
6#21461228C212yesmaximal, complemented
7#21461219C211yesmaximal, characteristic, complemented
8#21461206C212yesmaximal, complemented
9#21461196C211yesmaximal, characteristic, complemented
10D61⋊#328C212yesmaximal, complemented
11#21459497C211yesmaximal, characteristic
12C2×#14519865—21no—
13C2×D4×#6923—21no—
14#16840736—22no—
15#16840736—21no—
16#16840733C2212yes—
17#16840733C2211yescharacteristic
18D61⋊(C22⋊C8)C2211yescharacteristic
19D61⋊(C22⋊C8)C2212yes—
20(C2×#6923)⋊Q8—21no—
21#16840710—22no—
22#16840705C2212yes—
23#16840704C2211yescharacteristic
24C4×C22⋊#6923C2211yescharacteristic
25C2×(C2×#6923)⋊C4C2212yes—
26#16840616C2212yes—
27#16840616C2212yes—
28#16840616C2212yes—
29#16840616C2212yes—
30#16840615C2211yescharacteristic
31#16840615C2212yes—
32#16840615C2211yescharacteristic
33#16840614C2211yescharacteristic
34#16840614C2211yescharacteristic
35#16840614C2212yes—
36C2×#14519825C411yescharacteristic, complemented
37C2×#41×D61C2211yescharacteristic
38#16840427—21no—
39#16840420—21no—
40#16840415—21no—
41#16840410—22no—
42#16840405—21no—
43#16840404—22no—
44#16840342C412yescomplemented
45#16840340C411yescharacteristic, complemented
46#16840335C412yescomplemented
47#16840275C2212yes—
48#16840274C2211yescharacteristic
49C2×#14519753C2211yescharacteristic
50C22⋊Q8×D61C2212yes—
51#16840242C411yescharacteristic, complemented
52C61×#536C411yescharacteristic, complemented
53C23×#6923—22no—
54#14519865—44no—
55C2×#11758213—22no—
56C2×#11758213—21no—
57C2×D61⋊C8—22no—
58C2×D61⋊C8—21no—
59D4×#6923—44no—
60C2×C4⋊#6923—21no—
61C2×C22⋊#6923—22no—
62C2×C22⋊#6923—21no—
63C2×C22⋊#6923—21no—
64C2×C4×#6923—21no—
65#14519834C2311yescharacteristic
66#14519834C2311yescharacteristic
67#14519834C2312yes—
68C22⋊#92420—21no—
69C22⋊#92420—22no—
70C22⋊#92420—21no—
71C22⋊#92420—22no—
72(C2×#6923)⋊C4—22no—
73(C2×#6923)⋊C4—22no—
74(C2×#6923)⋊C4C2312yes—
75(C2×#6923)⋊C4C2311yescharacteristic
76(C2×#6923)⋊C4C2311yescharacteristic
77#14519825—44no—
78C2×#11758226—21no—
79C2×#11758226C2×C412yescomplemented
80C2×#11758226D411yescharacteristic
81C2×#11758222—22no—
82C2×#11758222C2×C411yescharacteristic
83C2×#11758222C2×C412yes—
84C2×#11758222C2×C411yescharacteristic, complemented
85C2×#11758224D412yes—
86C2×#11758224D411yescharacteristic
87#41×D61—44no—
88C2×Q8×D61—21no—
89C2×Q8×D61C2×C412yescomplemented
90C2×Q8×D61D411yescharacteristic
91C2×D4×D61D411yescharacteristic
92C2×D4×D61D412yes—
93C22×C4×D61C2311yescharacteristic
94C22×C4×D61C2312yes—
95#14519776—22no—
96#14519763—22no—
97#14519762—22no—
98#14519762—22no—
99#14519761—21no—
100#14519759—22no—
101#14519757C2×C411yescharacteristic, complemented
102#14519757C2311yescharacteristic
103#14519756C2×C412yescomplemented
104#14519755—22no—
105#14519755—22no—
106#14519754—22no—
107#14519753—21no—
108#14519753—21no—
109#14519753—21no—
110#14519753C2×C412yescomplemented
111#14519753C2312yes—
112#14519752—22no—
113#14519752C2×C411yescharacteristic, complemented
114#14519752C2311yescharacteristic
115#14519751C2×C412yescomplemented
116#14519750—22no—
117#14519750—22no—
118#14519749—22no—
119#14519748—21no—
120#14519747—21no—
121#14519747—22no—
122C4×Dic122—21no—
123C4×D244—21no—
124C4×D244—21no—
125C4×D244—21no—
126#14519739—22no—
127#14519737—22no—
128#14519737—22no—
129#14519735C2×C412yescomplemented
130C2×C4⋊Dic61C2×C411yescharacteristic, complemented
131C2×#11758196—21no—
132C4⋊C4×D61—22no—
133C4⋊C4×D61C2×C412yescomplemented
134C2×#11758198—21no—
135C22⋊C4×D61—22no—
136C2×#41×C61C2×C411yescharacteristic
137C22×Q8×C61C2×C411yescharacteristic, complemented
138C4⋊Q8×C61—21no—
139#124×C61—21no—
140#123×C61—22no—
141C22⋊Q8×C61C2×C412yescomplemented
142C22⋊Q8×C61C2×C412yescomplemented
143#117×C61C2×C411yescharacteristic, complemented
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—42no—
153C2×Q8×C61—21no—
154C2×Q8×C61—42no—
155C2×Q8×C61C22⋊C411yescharacteristic
156C2×Q8×C61C22×C412yes—
157C2×D4×C61C22⋊C411yescharacteristic
158C2×D4×C61C22⋊C412yes—
159C22×C4×C61—21no—
160C22×C4×C61C22×C411yescharacteristic
161C22×C4×C61C22×C412yes—
162C2×C22⋊D61—21no—
163C2×C22⋊D61—22no—
164C2×C22⋊D61C22⋊C412yes—
165C2×C22⋊D61C22⋊C412yes—
166C2×C22⋊D61C22⋊C412yes—
167C22×Dic61—21no—
168C22×Dic61C2×D411yescharacteristic
169C22×Dic61C2×D412yes—
170#11758226—24no—
171#11758226—44no—
172#11758226—44no—
173Q8×D61—42no—
174Q8×D61—44no—
175Q8×D61—44no—
176#11758224—42no—
177#11758224—44no—
178D4×D61—24no—
179D4×D61—44no—
180#11758222—24no—
181#11758222—44no—
182#11758222—48no—
183#11758222—42no—
184C2×D244—22no—
185C2×D244—21no—
186C2×D244—21no—
187C2×D244C22⋊C412yes—
188C2×D244C22⋊C411yescharacteristic
189C2×D244C22×C411yescharacteristic
190C2×C4×D61—22no—
191C2×C4×D61—21no—
192C2×C4×D61—22no—
193C2×C4×D61—22no—
194C2×C4×D61—42no—
195C2×C4×D61—44no—
196C2×C4×D61C22×C412yes—
197C2×C4×D61C22×C411yescharacteristic
198C2×C4×D61C2×D411yescharacteristic
199C2×C4×D61C2×D412yes—
200C2×C4×D61C2×D411yescharacteristic
201C2×C4×D61C2×D412yes—
202C2×C4×D61C2411yescharacteristic
203C2×Dic122—22no—
204C2×Dic122C22⋊C411yescharacteristic
205C2×Dic122C22⋊C412yes—
206C2×Dic122C22×C411yescharacteristic
207C22⋊#6923—42no—
208C22⋊#6923—44no—
209C22⋊#6923—81no—
210C2×#92420—21no—
211C2×#92420—21no—
212C2×#92420—22no—
213C4⋊#6923—42no—
214C4×#6923—42no—
215#11758213—44no—
216#11758213—42no—
217D61⋊C8—44no—
218D61⋊C8—42no—
219C4⋊C4×C61—22no—
220C4⋊C4×C61—22no—
221C4⋊C4×C61C22×C411yescharacteristic
222C4⋊C4×C61C22×C411yescharacteristic
223C22⋊C4×C61—21no—
224C22⋊C4×C61—22no—
225C22⋊C4×C61—22no—
226C42×C61—21no—
227C22⋊Dic61—22no—
228#11758198—22no—
229#11758198—22no—
230#11758198—21no—
231#11758198—21no—
232#11758198—22no—
233#11758198—22no—
234#11758198—21no—
235#11758198—21no—
236C4⋊Dic61—21no—
237C4⋊Dic61—21no—
238C4⋊Dic61—21no—
239C4⋊Dic61C22×C412yes—
240#11758196—22no—
241#11758196—22no—
242#11758196—22no—
243#11758196—22no—
244C4×Dic61—22no—
245C23×C61C2×C22⋊C412yes—
246C23×C61C2×C22⋊C411yescharacteristic
247C22×D61—22no—
248C22×D61—22no—
249C22×D61—24no—
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—
270Q8×C61—42no—
271Q8×C61—42no—
272D4×C61—22no—
273D4×C61—42no—
274C2×C4×C61—22no—
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61—22no—
278C2×C4×C61—42no—
279C2×C4×C61—42no—
280C2×C4×C61C2×C22⋊C412yes—
281C2×C4×C61C2×C22⋊C411yescharacteristic
282C2×C4×C61C23×C411yescharacteristic
283C22⋊D61—24no—
284C22⋊D61—24no—
285C22⋊D61—42no—
286C22⋊D61—42no—
287C22⋊D61—82no—
288C2×Dic61—22no—
289C2×Dic61—21no—
290C2×Dic61—42no—
291C2×Dic61—41no—
292C2×Dic61—81no—
293C2×Dic61C2×C22⋊C412yes—
294C2×Dic61C2×C22⋊C411yescharacteristic
295C2×Dic61C22×D411yescharacteristic
296D244—24no—
297D244—41no—
298D244—41no—
299D244—41no—
300D244—44no—
301D244—81no—
302D244#9914yes—
303C4×D61—24no—
304C4×D61—24no—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—41no—
308C4×D61—41no—
309C4×D61—42no—
310C4×D61—44no—
311C4×D61—44no—
312C4×D61—42no—
313C4×D61—82no—
314Dic122—22no—
315Dic122—42no—
316Dic122—44no—
317Dic122—41no—
318#92420—41no—
319#92420—42no—
320#92420—41no—
321#17608—611nomaximal, Sylow
322C22×C61—21no—
323C22×C61—22no—
324C22×C61—22no—
325C22×C61—21no—
326C22×C61—21no—
327C22×C61—22no—
328C22×C61C22×C22⋊C411yescharacteristic
329C2×D61—21no—
330C2×D61—22no—
331C2×D61—22no—
332C2×D61—21no—
333C2×D61—21no—
334C2×D61—21no—
335C2×D61—21no—
336C2×D61—44no—
337C2×D61—44no—
338C2×D61—41no—
339C2×D61—41no—
340C2×D61—41no—
341C2×D61—81no—
342C2×D61—81no—
343C2×D61C2×#9914yes—
344C2×D61#57711yescharacteristic
345C2×D61#57811yescharacteristic
346#6923—42no—
347#6923—81no—
348#6923—82no—
349C4×C61—21no—
350C4×C61—22no—
351C4×C61—42no—
352C4×C61—41no—
353C4×C61—41no—
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—42no—
372C2×C61—41no—
373C2×C61C22×#9911yescharacteristic
374C2×C61#289811yescharacteristic
375C2×C61#290111yescharacteristic
376D61—21no—
377D61—21no—
378D61—24no—
379D61—41no—
380D61—81no—
381C2×2−1+4—611no—
382C22×#41—611no—
383C2×#131—1221no—
384D4×Q8—1221no—
385#548—1221no—
386#547—1222no—
387#547—1221no—
388#546—1222no—
389#546—1221no—
390#537—611no—
391#537—612no—
392#536—612no—
393#536#692311yescharacteristic, complemented
394#525—612no—
395#525—611no—
396C2×C22⋊Q8—611no—
397C2×C22⋊Q8—612no—
398#520—611no—
399C2×C4×D4—1221no—
400#408—1222no—
401#408—1221no—
402#407—612no—
403#407—611no—
404C2×C22⋊C8—612no—
405C2×C22⋊C8—611no—
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—611no—
415#328—612no—
416#328—612no—
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—612no—
426C2×#41—611no—
427C2×#41—611no—
428C2×#41—612no—
429C2×#41—612no—
430C2×#41—611no—
431C2×#41—1222no—
432C2×#41—1221no—
433C2×#41—2444no—
434C2×#41C2×#692311yescharacteristic
435C22×Q8—611no—
436C22×Q8—612no—
437C22×Q8—1221no—
438C22×Q8C2×#692311yescharacteristic, complemented
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—21no—
450C4⋊Q8—1222no—
451#124—21no—
452#124—1222no—
453#123—22no—
454#123—1221no—
455#123—1222no—
456#123—1222no—
457#123—1222no—
458C22⋊Q8—612no—
459C22⋊Q8—612no—
460C22⋊Q8—612no—
461C22⋊Q8—611no—
462C22⋊Q8—611no—
463C22⋊Q8—1222no—
464C22⋊Q8—1222no—
465C22⋊Q8—1222no—
466C22⋊Q8—1221no—
467C22⋊Q8—1221no—
468C22⋊Q8—1221no—
469C22⋊Q8C2×#692312yescomplemented
470C22⋊Q8C2×#692312yescomplemented
471#121—612no—
472#121—611no—
473#121—611no—
474#121—1222no—
475#121—1222no—
476#121—1222no—
477#121—1222no—
478#121—1221no—
479#120—1221no—
480#120—1222no—
481C4×Q8—1221no—
482C4×D4—1221no—
483C4×D4—1221no—
484C4×D4—1221no—
485C4×D4—1222no—
486C4×D4—1222no—
487C4×D4—1222no—
488C4×D4—2444no—
489#117—612no—
490#117C2×#692311yescharacteristic, complemented
491C2×C4⋊C4—611no—
492C2×C4⋊C4—612no—
493C2×C4⋊C4—1222no—
494C2×C4⋊C4—1221no—
495C2×C4⋊C4—1221no—
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—1222no—
507C22⋊C8—1221no—
508C22⋊C8—1222no—
509#95—611no—
510#95—612no—
511#95—611no—
512#95—1222no—
513#95—1222no—
514C24—612no—
515C24—611no—
516#41—42no—
517#41—1224no—
518#41—1224no—
519#41—2442no—
520#41—2444no—
521#41—2448no—
522#41—2442no—
523#41—2444no—
524#41—2444no—
525#41—2444no—
526C2×Q8—21no—
527C2×Q8—42no—
528C2×Q8—611no—
529C2×Q8—612no—
530C2×Q8—611no—
531C2×Q8—1222no—
532C2×Q8—2442no—
533C2×Q8—2444no—
534C2×Q8—2444no—
535C2×Q8C22⋊#692311yescharacteristic
536C2×Q8C22×#692312yes—
537C2×D4—612no—
538C2×D4—612no—
539C2×D4—612no—
540C2×D4—611no—
541C2×D4—612no—
542C2×D4—611no—
543C2×D4—1221no—
544C2×D4—1221no—
545C2×D4—1222no—
546C2×D4—1224no—
547C2×D4—1222no—
548C2×D4—1221no—
549C2×D4—2444no—
550C2×D4C22⋊#692311yescharacteristic
551C2×D4C22⋊#692312yes—
552C22×C4—21no—
553C22×C4—611no—
554C22×C4—612no—
555C22×C4—611no—
556C22×C4—612no—
557C22×C4—611no—
558C22×C4—612no—
559C22×C4—612no—
560C22×C4—611no—
561C22×C4—611no—
562C22×C4—1222no—
563C22×C4—1222no—
564C22×C4—1222no—
565C22×C4—1221no—
566C22×C4—1221no—
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×#692311yescharacteristic
576C22×C4C22×#692312yes—
577M16—2444no—
578M16—2442no—
579C2×C8—1221no—
580C2×C8—1221no—
581C2×C8—1222no—
582C2×C8—2444no—
583C2×C8—2442no—
584C4⋊C4—22no—
585C4⋊C4—22no—
586C4⋊C4—612no—
587C4⋊C4—1222no—
588C4⋊C4—1222no—
589C4⋊C4—1221no—
590C4⋊C4—1222no—
591C4⋊C4—1221no—
592C4⋊C4—1221no—
593C4⋊C4—1222no—
594C4⋊C4—2442no—
595C4⋊C4C22×#692311yescharacteristic
596C4⋊C4C22×#692311yescharacteristic
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—22no—
600C22⋊C4—1221no—
601C22⋊C4—1221no—
602C22⋊C4—1221no—
603C22⋊C4—1222no—
604C22⋊C4—1222no—
605C22⋊C4—1222no—
606C22⋊C4—1221no—
607C22⋊C4—1222no—
608C22⋊C4—1222no—
609C22⋊C4—4881no—
610C22⋊C4—2442no—
611C22⋊C4—2444no—
612C42—21no—
613C42—1222no—
614C42—2442no—
615C23—612no—
616C23—611no—
617C23—611no—
618C23—1221no—
619C23—1221no—
620C23—1224no—
621C23—1222no—
622C23—1222no—
623C23—1221no—
624C23—2441no—
625C23—2441no—
626C23—2442no—
627C23C2×C22⋊#692312yes—
628C23C2×C22⋊#692311yescharacteristic
629Q8—22no—
630Q8—42no—
631Q8—42no—
632Q8—1222no—
633Q8—2442no—
634Q8—2441no—
635Q8—2444no—
636D4—22no—
637D4—42no—
638D4—614no—
639D4—1224no—
640D4—1224no—
641D4—1224no—
642D4—4881no—
643D4—4882no—
644D4—2441no—
645D4—2441no—
646D4—2441no—
647D4—2444no—
648D4—2442no—
649D4—2442no—
650C2×C4—22no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—612no—
657C2×C4—611no—
658C2×C4—611no—
659C2×C4—1224no—
660C2×C4—1224no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—1221no—
666C2×C4—4882no—
667C2×C4—4888no—
668C2×C4—4881no—
669C2×C4—2441no—
670C2×C4—2442no—
671C2×C4—2441no—
672C2×C4—2444no—
673C2×C4—2444no—
674C2×C4—2442no—
675C2×C4—2441no—
676C2×C4—2442no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4—2442no—
680C2×C4—2441no—
681C2×C4—2442no—
682C2×C4—2441no—
683C2×C4—2441no—
684C2×C4—2442no—
685C2×C4C2×C22⋊#692312yes—
686C2×C4C2×C22⋊#692311yescharacteristic
687C2×C4C23×#692311yescharacteristic
688C8—2441no—
689C8—2442no—
690C8—2441no—
691C22—21no—
692C22—22no—
693C22—21no—
694C22—22no—
695C22—21no—
696C22—22no—
697C22—614no—
698C22—611no—
699C22—611no—
700C22—1221no—
701C22—1222no—
702C22—1221no—
703C22—1222no—
704C22—1221no—
705C22—1221no—
706C22—1221no—
707C22—4881no—
708C22—4881no—
709C22—2444no—
710C22—2444no—
711C22—2441no—
712C22—2441no—
713C22—2441no—
714C22C22×C22⋊#692311yescharacteristic
715C4—21no—
716C4—22no—
717C4—42no—
718C4—41no—
719C4—41no—
720C4—1221no—
721C4—1222no—
722C4—1221no—
723C4—4882no—
724C4—4881no—
725C4—2442no—
726C4—2441no—
727C4—2442no—
728C4D61⋊#9912yes—
729C2—41no—
730C2—42no—
731C2—1221no—
732C2—1221no—
733C2—1224no—
734C2—4881no—
735C2—2441no—
736C2C2×D61⋊#9911yescharacteristic
737C2#2146244111yescharacteristic
738C2#2146245011yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#536C4
socleC22×C61C22×C22⋊C4
prime radical#21459497C2
cosocleC2×C4×D61C24
hypercenter#536#6923
hypocenterC61#17608
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#41 ◁ #536

Complements

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

NH ≅ G/Ntype
1. #21462410C2semidirect
2. #21462322C2semidirect
3. #21461259C2semidirect
4. #21461246C2semidirect
5. #21461236C2semidirect
6. #21461228C2semidirect
7. #21461219C2semidirect
8. #21461206C2semidirect
9. #21461196C2semidirect
10. D61⋊#328C2semidirect
36. C2×#14519825C4semidirect
44. #16840342C4semidirect
45. #16840340C4semidirect
46. #16840335C4semidirect
51. #16840242C4semidirect
52. C61×#536C4semidirect
79. C2×#11758226C2×C4semidirect
84. C2×#11758222C2×C4semidirect
89. C2×Q8×D61C2×C4semidirect
101. #14519757C2×C4semidirect
103. #14519756C2×C4semidirect
110. #14519753C2×C4semidirect
113. #14519752C2×C4semidirect
115. #14519751C2×C4semidirect
129. #14519735C2×C4semidirect
130. C2×C4⋊Dic61C2×C4semidirect
133. C4⋊C4×D61C2×C4semidirect
137. C22×Q8×C61C2×C4semidirect
141. C22⋊Q8×C61C2×C4semidirect
142. C22⋊Q8×C61C2×C4semidirect
143. #117×C61C2×C4semidirect
393. #536#6923semidirect
422. C61#17608semidirect
438. C22×Q8C2×#6923semidirect
469. C22⋊Q8C2×#6923semidirect
470. C22⋊Q8C2×#6923semidirect
490. #117C2×#6923semidirect

Maximal subgroups

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

subgroupindex
#214624102
#214623222
#214612592
#214612462
#214612362
#214612282
#214612192
#214612062
#214611962
D61⋊#3282
#214594972
#1760861