Finite Group Databasebeta

← #32865096

Subgroups — #32865096

Order 18176.

2030 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986627C211yesmaximal, characteristic, complemented
2#22601541C211yesmaximal, characteristic
3#22598204C214yesmaximal, complemented
4#22598193C214yesmaximal, complemented
5#22598183C214yesmaximal, complemented
6#22598172C214yesmaximal, complemented
7#22598163C214yesmaximal, complemented
8#22598156C214yesmaximal, complemented
9#22596930C211yesmaximal, characteristic, complemented
10C2×#17986041C211yesmaximal, characteristic, complemented
11#22596860C211yesmaximal, characteristic
12C2×#17986001C211yesmaximal, characteristic
13C71×#2905C211yesmaximal, characteristic, complemented
14C22×#11765865C2211yescharacteristic
15#17986627—22no—
16#17986627—22no—
17#17986627C2214yes—
18#17986627C2214yescomplemented
19C2×#14556128C2212yescomplemented
20C2×#14556127—21no—
21C2×#14556120C2212yescomplemented
22C2×#14556119—21no—
23C2×#14556105—22no—
24#17986480—21no—
25#17986480—21no—
26#17986479C2212yes—
27#17986479C2212yes—
28#17986476C2212yes—
29#17986473C2212yes—
30#17986472—22no—
31C4×#11765865C2214yes—
32#17986467—22no—
33C2×#14556087C2211yescharacteristic
34C2×#14556087C2211yescharacteristic
35#117×D71—22no—
36C22×C4⋊Dic71C2211yescharacteristic
37#17986307C2218yescomplemented
38#17986307C2218yescomplemented
39#17986300C2218yescomplemented
40#17986300C2218yescomplemented
41#17986295C2218yescomplemented
42#17986290C2218yescomplemented
43#17986285C2218yescomplemented
44#17986280C2218yescomplemented
45#17986041C2214yes—
46#17986041C2212yescomplemented
47#17986041C2214yescomplemented
48#17986041C2212yescomplemented
49#17986041C2212yescomplemented
50#17986041C2212yescomplemented
51#17986037C2214yes—
52C2×#14556062C2212yescomplemented
53C2×#14556060C2212yescomplemented
54#17986009C2212yes—
55#17986005C2212yes—
56#17986001C2212yes—
57#17986001C2214yes—
58#17986001C2212yes—
59#17986001C2214yes—
60#17985996C2214yes—
61C2×#14556053C2212yes—
62C2×#14556050C2212yes—
63C22×M16×C71C2211yescharacteristic
64C22×M16×C71C2211yescharacteristic
65C2×#117×C71C2211yescharacteristic
66#424×C71C2214yes—
67#424×C71C2214yescomplemented
68#423×C71C2214yescomplemented
69C2×#11765865—21no—
70C2×#11765865—21no—
71C2×#11765865—24no—
72C2×#11765865Q818yescomplemented
73C2×#11765865C2312yes—
74C2×#11765865C2312yes—
75C22×Dic142—22no—
76C22×Dic142C2311yescharacteristic
77C22×D284C2311yescharacteristic
78C22×C22⋊D71—21no—
79C23×Dic71—21no—
80C22×C4×D71—21no—
81#14556128—24no—
82#14556128C2318yes—
83#14556127—24no—
84#14556127—24no—
85#14556120—24no—
86#14556120C2318yes—
87#14556119—24no—
88#14556119—24no—
89#14556105—28no—
90#14556105—28no—
91C4×Dic142C2314yes—
92C4×Dic142C2314yes—
93#14556093—22no—
94#14556093—22no—
95C4×D284C2314yes—
96C4×D284C2314yes—
97#14556090—22no—
98#14556090—22no—
99C4×C22⋊D71—24no—
100C4×C22⋊D71—24no—
101(C22⋊D71)⋊C4—24no—
102(C22⋊D71)⋊C4—24no—
103#14556087—21no—
104#14556087—21no—
105#14556087—21no—
106#14556087—21no—
107#14556087C2312yes—
108#14556087C2312yes—
109#14556087C2312yes—
110#14556087C2312yes—
111#14556086—22no—
112#14556086—22no—
113#14556085—24no—
114#14556084—24no—
115C2×C4⋊Dic71—21no—
116C2×C4⋊Dic71—21no—
117C2×C4⋊Dic71—21no—
118C2×C4⋊Dic71—22no—
119C2×C4⋊Dic71C2312yes—
120C2×C4⋊Dic71C2312yes—
121C2×C4⋊Dic71C2312yes—
122C2×C4⋊Dic71C2311yescharacteristic
123C2×C4⋊Dic71C2311yescharacteristic
124C2×C4⋊Dic71C2311yescharacteristic
125C2×C4⋊Dic71C2311yescharacteristic
126C2×Dic71⋊C4—22no—
127C2×Dic71⋊C4—22no—
128C4⋊C4×D71—22no—
129C4⋊C4×D71—22no—
130C2×C22⋊Dic71—21no—
131C2×C22⋊Dic71—21no—
132C22⋊C4×D71—24no—
133C2×C4×Dic71—21no—
134C2×C4×Dic71—21no—
135C42×D71—24no—
136#14556062C2314yes—
137#14556062C2318yes—
138#14556062C2314yes—
139#14556060C2314yes—
140#14556060C2318yes—
141#14556060C2314yes—
142#14556053C2314yes—
143#14556053C2318yes—
144#14556053C2314yes—
145#14556050C2318yes—
146#14556050C2314yes—
147#14556050C2314yes—
148C23×C4×C71C2311yescharacteristic
149C2×M16×C71—24no—
150C2×M16×C71—24no—
151C2×M16×C71C2312yes—
152C2×M16×C71C2312yes—
153C2×M16×C71C2312yes—
154C2×M16×C71C2312yes—
155C22×C8×C71C2312yes—
156C22×C8×C71C2312yes—
157#117×C71D412yes—
158#117×C71D412yes—
159#117×C71C2312yes—
160#117×C71C2312yes—
161C2×C4⋊C4×C71D411yescharacteristic
162C2×C4⋊C4×C71D411yescharacteristic
163C2×C22⋊C4×C71D412yes—
164C2×C42×C71C2312yes—
165C4⋊C8×C71C2318yes—
166C4⋊C8×C71C2318yes—
167C23×D71—21no—
168#11765865—28no—
169#11765865—28no—
170#11765865—24no—
171#11765865—24no—
172#11765865C2×Q818yes—
173#11765865C2×Q818yescomplemented
174C2×Dic142—21no—
175C2×Dic142—22no—
176C2×Dic142—28no—
177C2×Dic142—84no—
178C2×Dic142C2×Q814yescomplemented
179C2×Dic142C2412yes—
180C2×D284—21no—
181C2×D284—22no—
182C2×D284C2×Q814yescomplemented
183C2×D284C2412yes—
184C2×C22⋊D71—28no—
185C2×C22⋊D71—22no—
186C2×C22⋊D71—22no—
187C22×Dic71—21no—
188C22×Dic71—22no—
189C22×Dic71—21no—
190C22×Dic71—21no—
191C22×Dic71—22no—
192C22×Dic71—22no—
193C22×Dic71—21no—
194C22×Dic71—21no—
195C22×Dic71—82no—
196C2×C4×D71—28no—
197C2×C4×D71—22no—
198C2×C4×D71—22no—
199C2×C4×D71—24no—
200C2×C4×D71—24no—
201C4⋊Dic71—21no—
202C4⋊Dic71—21no—
203C4⋊Dic71—22no—
204C4⋊Dic71—22no—
205C4⋊Dic71—22no—
206C4⋊Dic71—28no—
207C4⋊Dic71—21no—
208C4⋊Dic71—21no—
209C4⋊Dic71C2414yes—
210C4⋊Dic71C2412yes—
211C4⋊Dic71C2412yes—
212C4⋊Dic71C2412yes—
213C4⋊Dic71C2412yes—
214Dic71⋊C4—24no—
215Dic71⋊C4—24no—
216Dic71⋊C4—28no—
217Dic71⋊C4—28no—
218C22⋊Dic71—22no—
219C22⋊Dic71—22no—
220C22⋊Dic71—22no—
221C22⋊Dic71—22no—
222(C2×D71)⋊C4—24no—
223(C2×D71)⋊C4—24no—
224C4×Dic71—22no—
225C4×Dic71—24no—
226C4×Dic71—24no—
227C4×Dic71—22no—
228C4×Dic71—22no—
229C4×Dic71—22no—
230C24×C71C2×D411yescharacteristic
231C22×C4×C71C2×D412yes—
232C22×C4×C71C2×D412yes—
233C22×C4×C71C2×D411yescharacteristic
234C22×C4×C71C2×D411yescharacteristic
235C22×C4×C71C2×D411yescharacteristic
236C22×C4×C71C2×Q814yes—
237C22×C4×C71#4114yes—
238C22×C4×C71C2411yescharacteristic
239C22×C4×C71C2411yescharacteristic
240C22×C4×C71C2411yescharacteristic
241M16×C71—24no—
242M16×C71—24no—
243M16×C71—24no—
244M16×C71—24no—
245C2×C8×C71—24no—
246C2×C8×C71—24no—
247C2×C8×C71C2414yes—
248C2×C8×C71C2414yes—
249C4⋊C4×C71C2×D412yes—
250C4⋊C4×C71C2×D412yes—
251C4⋊C4×C71C2×D412yes—
252C4⋊C4×C71C2×D412yes—
253C22⋊C4×C71C2×D414yes—
254C22⋊C4×C71C2×D414yes—
255C42×C71C2×D414yes—
256C42×C71C2414yes—
257C23×C71—41no—
258C23×C71—41no—
259C23×C71C22⋊Q814yes—
260C23×C71C22×D411yescharacteristic
261C23×C71C22×D411yescharacteristic
262C23×C71C22×D411yescharacteristic
263C22×D71—22no—
264C22×D71—24no—
265C22×D71—81no—
266C22×D71—81no—
267C2×C4×C71—42no—
268C2×C4×C71—42no—
269C2×C4×C71C22⋊Q814yes—
270C2×C4×C71C22⋊Q814yes—
271C2×C4×C71C22⋊Q814yes—
272C2×C4×C71C22×D414yes—
273C2×C4×C71C22×D414yes—
274C2×C4×C71C22×D411yescharacteristic
275C2×C4×C71C22×D411yescharacteristic
276C2×C4×C71C22×D411yescharacteristic
277C2×C4×C71C22×Q812yes—
278C2×C4×C71C22×Q812yes—
279C2×C4×C71C22×Q812yes—
280C2×C4×C71C2×#4112yes—
281C2×C4×C71C2×#4112yes—
282C2×C4×C71C2×#4112yes—
283C2×C4×C71C2511yescharacteristic
284C22⋊D71—28no—
285C22⋊D71—28no—
286C2×Dic71—24no—
287C2×Dic71—22no—
288C2×Dic71—22no—
289C2×Dic71—22no—
290C2×Dic71—22no—
291C2×Dic71—22no—
292C2×Dic71—24no—
293C2×Dic71—42no—
294C2×Dic71—44no—
295C2×Dic71—42no—
296C2×Dic71—81no—
297C2×Dic71—81no—
298C2×Dic71—82no—
299C2×Dic71—82no—
300D284—24no—
301D284—22no—
302D284C22×Q814yes—
303C4×D71—28no—
304C4×D71—28no—
305C4×D71—84no—
306C4×D71—84no—
307Dic142—24no—
308Dic142—22no—
309Dic142—88no—
310Dic142C22×Q814yes—
311C8×C71—24no—
312C8×C71—24no—
313C22×C71—21no—
314C22×C71—21no—
315C22×C71—21no—
316C22×C71—21no—
317C22×C71—21no—
318C22×C71—21no—
319C22×C71—44no—
320C22×C71C2×C22⋊Q812yes—
321C22×C71C2×C22⋊Q812yes—
322C22×C71C2×C22⋊Q812yes—
323C22×C71C23×D411yescharacteristic
324C2×D71—24no—
325C2×D71—42no—
326C2×D71—42no—
327C2×D71—84no—
328C4×C71—24no—
329C4×C71—24no—
330C4×C71C2×C22⋊Q812yes—
331C4×C71C2×C22⋊Q812yes—
332C4×C71C2×C22⋊Q812yes—
333C4×C71C23×Q811yescharacteristic
334C4×C71C22×#4111yescharacteristic
335Dic71—24no—
336Dic71—42no—
337Dic71—44no—
338Dic71—42no—
339Dic71—42no—
340Dic71—42no—
341#60493—711nomaximal, Sylow
342C2×C71—22no—
343C2×C71—22no—
344C2×C71—22no—
345C2×C71C22×C22⋊Q811yescharacteristic
346C2×C71#358511yescharacteristic
347C2×C71#358611yescharacteristic
348D71—44no—
349C2×#544—711no—
350#3428—711no—
351#3084—714no—
352#3083—714no—
353#3082—714no—
354#3081—714no—
355#3080—714no—
356#3079—714no—
357#2911—711no—
358C2×#428—711no—
359#2905D7111yescharacteristic, complemented
360#2896—711no—
361C2×#417—711no—
362C71#6049311yescharacteristic, complemented, Sylow
363C22×#41—711no—
364C22×M16C2×D7111yescharacteristic
365C22×M16C2×D7111yescharacteristic
366#544—714no—
367#544—714no—
368#544—1422no—
369#544—1422no—
370C2×C4⋊Q8—712no—
371C2×C4⋊Q8—1421no—
372C2×#125—712no—
373C2×#125—1421no—
374C2×C22⋊Q8—1422no—
375#520—712no—
376#520—712no—
377#520—1421no—
378#520—1421no—
379#519—712no—
380#518—712no—
381#518—1422no—
382C4×#41—714no—
383C4×#41—1422no—
384C2×#117—711no—
385C2×#117—711no—
386C2×#117—1422no—
387C2×#117C2×D7111yescharacteristic
388C22×C4⋊C4—711no—
389#479—718no—
390#479—718no—
391#478—718no—
392#478—718no—
393#477—718no—
394#476—718no—
395#475—718no—
396#474—718no—
397#428—712no—
398#428—714no—
399#428—712no—
400#428—714no—
401#428—712no—
402#428—712no—
403#427—714no—
404C2×#107—712no—
405C2×#106—712no—
406#424C2×D7114yes—
407#424C2×D7114yescomplemented
408#423C2×D7114yescomplemented
409#419—712no—
410#418—712no—
411#417—712no—
412#417—714no—
413#417—712no—
414#417—714no—
415#416—714no—
416C2×#103—712no—
417C2×#102—712no—
418C2×#41—718no—
419C2×#41—712no—
420C2×#41—712no—
421C2×#41—1421no—
422C2×#41—1421no—
423C2×#41—1424no—
424C22×Q8—711no—
425C22×Q8—1422no—
426C22×D4—711no—
427C22×D4—1421no—
428C23×C4—1421no—
429C23×C4—1421no—
430C23×C4C22×D7111yescharacteristic
431C2×M16—24no—
432C2×M16—24no—
433C2×M16C22×D7112yes—
434C2×M16C22×D7112yes—
435C2×M16C22×D7112yes—
436C2×M16C22×D7112yes—
437C22×C8C22×D7112yes—
438C22×C8C22×D7112yes—
439C4⋊Q8—718no—
440C4⋊Q8—1424no—
441C4⋊Q8—1424no—
442C4⋊Q8—1424no—
443#125—718no—
444#125—1424no—
445#125—1424no—
446#125—1424no—
447C22⋊Q8—1428no—
448C22⋊Q8—1428no—
449C4×Q8—714no—
450C4×Q8—714no—
451C4×Q8—1422no—
452C4×Q8—1422no—
453C4×D4—714no—
454C4×D4—714no—
455C4×D4—1424no—
456C4×D4—1424no—
457C4×D4—1422no—
458C4×D4—1422no—
459C4×D4—1424no—
460C4×D4—1424no—
461#117—712no—
462#117—712no—
463#117—712no—
464#117—712no—
465#117—1421no—
466#117—1421no—
467#117—1421no—
468#117—1421no—
469#117—1422no—
470#117—1422no—
471#117—1424no—
472#117—1424no—
473#117D28412yes—
474#117D28412yes—
475#117C22×D7112yes—
476#117C22×D7112yes—
477C2×C4⋊C4—712no—
478C2×C4⋊C4—712no—
479C2×C4⋊C4—712no—
480C2×C4⋊C4—711no—
481C2×C4⋊C4—711no—
482C2×C4⋊C4—711no—
483C2×C4⋊C4—711no—
484C2×C4⋊C4—1421no—
485C2×C4⋊C4—1421no—
486C2×C4⋊C4—1421no—
487C2×C4⋊C4—1422no—
488C2×C4⋊C4—1422no—
489C2×C4⋊C4—1422no—
490C2×C4⋊C4—1422no—
491C2×C4⋊C4—1422no—
492C2×C4⋊C4D28411yescharacteristic
493C2×C4⋊C4D28411yescharacteristic
494C2×C22⋊C4—1421no—
495C2×C22⋊C4—1421no—
496C2×C22⋊C4—1424no—
497C2×C22⋊C4D28412yes—
498C2×C42—1421no—
499C2×C42—1421no—
500C2×C42—1424no—
501C2×C42C22×D7112yes—
502#107—718no—
503#107—714no—
504#107—714no—
505#106—718no—
506#106—714no—
507#106—714no—
508C4⋊C8C22×D7118yes—
509C4⋊C8C22×D7118yes—
510#103—718no—
511#103—714no—
512#103—714no—
513#102—718no—
514#102—714no—
515#102—714no—
516C24—1421no—
517C24C2×D28411yescharacteristic
518#41—718no—
519#41—718no—
520#41—1424no—
521#41—1424no—
522#41—1428no—
523#41—1428no—
524C2×Q8—5684no—
525C2×Q8—714no—
526C2×Q8—712no—
527C2×Q8—1428no—
528C2×Q8—1421no—
529C2×Q8—1422no—
530C2×D4—714no—
531C2×D4—712no—
532C2×D4—1422no—
533C2×D4—1422no—
534C2×D4—1428no—
535C2×D4—1421no—
536C2×D4—1422no—
537C22×C4—5682no—
538C22×C4—1421no—
539C22×C4—1421no—
540C22×C4—1422no—
541C22×C4—1421no—
542C22×C4—1421no—
543C22×C4—1422no—
544C22×C4—1422no—
545C22×C4—1424no—
546C22×C4—1424no—
547C22×C4—1421no—
548C22×C4—1422no—
549C22×C4—1422no—
550C22×C4—1428no—
551C22×C4C2×D28412yes—
552C22×C4C2×D28412yes—
553C22×C4C2×D28411yescharacteristic
554C22×C4C2×D28411yescharacteristic
555C22×C4C2×D28411yescharacteristic
556C22×C4Q8×D7114yes—
557C22×C4#1176586414yes—
558C22×C4C23×D7111yescharacteristic
559C22×C4C23×D7111yescharacteristic
560C22×C4C23×D7111yescharacteristic
561M16—24no—
562M16—24no—
563M16—24no—
564M16—24no—
565C2×C8—24no—
566C2×C8—24no—
567C2×C8C23×D7114yes—
568C2×C8C23×D7114yes—
569C4⋊C4—714no—
570C4⋊C4—712no—
571C4⋊C4—712no—
572C4⋊C4—712no—
573C4⋊C4—712no—
574C4⋊C4—1424no—
575C4⋊C4—1424no—
576C4⋊C4—1428no—
577C4⋊C4—1428no—
578C4⋊C4—1421no—
579C4⋊C4—1421no—
580C4⋊C4—1422no—
581C4⋊C4—1422no—
582C4⋊C4—1422no—
583C4⋊C4—1421no—
584C4⋊C4—1421no—
585C4⋊C4—1428no—
586C4⋊C4C2×D28412yes—
587C4⋊C4C2×D28412yes—
588C4⋊C4C2×D28412yes—
589C4⋊C4C2×D28412yes—
590C22⋊C4—1422no—
591C22⋊C4—1422no—
592C22⋊C4—1422no—
593C22⋊C4—1422no—
594C22⋊C4—1424no—
595C22⋊C4—1424no—
596C22⋊C4C2×D28414yes—
597C22⋊C4C2×D28414yes—
598C42—1422no—
599C42—1422no—
600C42—1422no—
601C42—1422no—
602C42—1424no—
603C42—1424no—
604C42C2×D28414yes—
605C42C23×D7114yes—
606C23—41no—
607C23—41no—
608C23—5681no—
609C23—5681no—
610C23—1422no—
611C23—1424no—
612C23#1455610814yes—
613C23C22×D28411yescharacteristic
614C23C22×D28411yescharacteristic
615C23C22×D28411yescharacteristic
616Q8—5688no—
617Q8—714no—
618Q8—1422no—
619Q8—1424no—
620D4—714no—
621D4—1428no—
622D4—1428no—
623D4—1422no—
624D4—1424no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—2844no—
628C2×C4—2842no—
629C2×C4—2842no—
630C2×C4—5684no—
631C2×C4—5684no—
632C2×C4—5682no—
633C2×C4—5682no—
634C2×C4—5681no—
635C2×C4—5681no—
636C2×C4—1422no—
637C2×C4—1422no—
638C2×C4—1422no—
639C2×C4—1422no—
640C2×C4—1424no—
641C2×C4—1422no—
642C2×C4—1424no—
643C2×C4—1428no—
644C2×C4—1428no—
645C2×C4#1455610814yes—
646C2×C4#1455610814yes—
647C2×C4#1455610814yes—
648C2×C4C22×D28414yes—
649C2×C4C22×D28414yes—
650C2×C4C22×D28411yescharacteristic
651C2×C4C22×D28411yescharacteristic
652C2×C4C22×D28411yescharacteristic
653C2×C4C2×Q8×D7112yes—
654C2×C4C2×Q8×D7112yes—
655C2×C4C2×Q8×D7112yes—
656C2×C4C2×#1176586412yes—
657C2×C4C2×#1176586412yes—
658C2×C4C2×#1176586412yes—
659C2×C4C24×D7111yescharacteristic
660C8—24no—
661C8—24no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—44no—
669C22—2842no—
670C22—2842no—
671C22—5684no—
672C22—1424no—
673C22C2×#1455610812yes—
674C22C2×#1455610812yes—
675C22C2×#1455610812yes—
676C22C23×D28411yescharacteristic
677C4—24no—
678C4—24no—
679C4—2844no—
680C4—2842no—
681C4—2842no—
682C4—2842no—
683C4—2842no—
684C4—1424no—
685C4C2×#1455610812yes—
686C4C2×#1455610812yes—
687C4C2×#1455610812yes—
688C4C22×Q8×D7111yescharacteristic
689C4C22×#1176586411yescharacteristic
690C2—22no—
691C2—22no—
692C2—22no—
693C2—2844no—
694C2C22×#1455610811yescharacteristic
695C2#2260312111yescharacteristic
696C2#2260312811yescharacteristic
subgroupG/H
centerC22C23×D284
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#2905C2
socleC22×C71C23×D4
prime radicalC22×#11765865C22
hypercenter#2905D71
hypocenterC71#60493
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C2×#117 ◁ #2905

Complements

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

NH ≅ G/Ntype
1. C2×#17986627C2semidirect
3. #22598204C2semidirect
4. #22598193C2semidirect
5. #22598183C2semidirect
6. #22598172C2semidirect
7. #22598163C2semidirect
8. #22598156C2semidirect
9. #22596930C2semidirect
10. C2×#17986041C2semidirect
13. C71×#2905C2semidirect
18. #17986627C22semidirect
19. C2×#14556128C22semidirect
21. C2×#14556120C22semidirect
37. #17986307C22semidirect
38. #17986307C22semidirect
39. #17986300C22semidirect
40. #17986300C22semidirect
41. #17986295C22semidirect
42. #17986290C22semidirect
43. #17986285C22semidirect
44. #17986280C22semidirect
46. #17986041C22semidirect
47. #17986041C22semidirect
48. #17986041C22semidirect
49. #17986041C22semidirect
50. #17986041C22semidirect
52. C2×#14556062C22semidirect
53. C2×#14556060C22semidirect
67. #424×C71C22semidirect
68. #423×C71C22semidirect
72. C2×#11765865Q8semidirect
173. #11765865C2×Q8semidirect
178. C2×Dic142C2×Q8semidirect
182. C2×D284C2×Q8semidirect
359. #2905D71semidirect
362. C71#60493semidirect
407. #424C2×D71semidirect
408. #423C2×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179866272
#226015412
#225982042
#225981932
#225981832
#225981722
#225981632
#225981562
#225969302
C2×#179860412
#225968602
C2×#179860012
C71×#29052
#6049371