Finite Group Databasebeta

← #32865098

Subgroups — #32865098

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#22598201C214yesmaximal, complemented
4#22598190C214yesmaximal, complemented
5#22598185C214yesmaximal, complemented
6#22598174C214yesmaximal, complemented
7#22598161C214yesmaximal, complemented
8#22598153C214yesmaximal, complemented
9C2×#17986042C211yesmaximal, characteristic, complemented
10#22596903C211yesmaximal, characteristic, complemented
11#22596857C211yesmaximal, characteristic
12C2×#17986001C211yesmaximal, characteristic
13C71×#2911C211yesmaximal, characteristic, complemented
14C22×#11765865C2211yescharacteristic
15C22×#11765849C2211yescharacteristic
16#17986627—22no—
17#17986627—22no—
18#17986627C2214yes—
19#17986627C2214yescomplemented
20C2×#14556128—21no—
21C2×#14556127C2212yescomplemented
22C2×#14556120—21no—
23C2×#14556119C2212yescomplemented
24C2×#14556105—22no—
25#17986480C2212yes—
26#17986480C2212yes—
27#17986479—21no—
28#17986479—21no—
29#17986476C2212yes—
30#17986473C2212yes—
31#17986472—22no—
32C4×#11765865—22no—
33#17986467C2214yes—
34C2×#14556087C2211yescharacteristic
35#117×D71—22no—
36C22×C4⋊Dic71C2211yescharacteristic
37#17986309C2218yescomplemented
38#17986305C2218yescomplemented
39#17986302C2218yescomplemented
40#17986298C2218yescomplemented
41#17986293C2218yescomplemented
42#17986288C2218yescomplemented
43#17986283C2218yescomplemented
44#17986278C2218yescomplemented
45#17986042C2214yes—
46#17986042C2214yescomplemented
47C2×#14556061C2212yescomplemented
48C2×#14556059C2212yescomplemented
49#17986027C2214yescomplemented
50#17986025C2214yes—
51#17986022C2214yescomplemented
52#17986007C2212yes—
53#17986003C2212yes—
54#17986001C2214yes—
55#17986001C2214yes—
56#17985998C2212yes—
57#17985998C2212yes—
58#17985993C2214yes—
59C2×#14556053C2212yes—
60C2×#14556050C2212yes—
61C22×M16×C71C2211yescharacteristic
62C2×#117×C71C2211yescharacteristic
63C2×#117×C71C2211yescharacteristic
64#428×C71C2212yescomplemented
65#428×C71C2212yescomplemented
66#428×C71C2212yescomplemented
67#428×C71C2212yescomplemented
68#427×C71C2214yes—
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—
81C2×#11765849—24no—
82C2×#11765849C2312yes—
83C2×#11765849C2312yes—
84C22×C71⋊C8C2312yes—
85#14556128—24no—
86#14556128—24no—
87#14556127—24no—
88#14556127C2318yes—
89#14556120—24no—
90#14556120—24no—
91#14556119—24no—
92#14556119C2318yes—
93#14556105—28no—
94#14556105—28no—
95C4×Dic142—22no—
96C4×Dic142—22no—
97#14556093C2314yes—
98#14556093C2314yes—
99C4×D284—22no—
100C4×D284—22no—
101#14556090C2314yes—
102#14556090C2314yes—
103C4×C22⋊D71—24no—
104C4×C22⋊D71—24no—
105(C22⋊D71)⋊C4—24no—
106(C22⋊D71)⋊C4—24no—
107#14556087D412yes—
108#14556087D412yes—
109#14556087C2312yes—
110#14556087C2312yes—
111#14556086—22no—
112#14556086—22no—
113#14556085—24no—
114#14556084—24no—
115C2×C4⋊Dic71—22no—
116C2×C4⋊Dic71—21no—
117C2×C4⋊Dic71—21no—
118C2×C4⋊Dic71—21no—
119C2×C4⋊Dic71D411yescharacteristic
120C2×C4⋊Dic71D411yescharacteristic
121C2×C4⋊Dic71C2312yes—
122C2×C4⋊Dic71C2312yes—
123C2×C4⋊Dic71C2312yes—
124C2×Dic71⋊C4—22no—
125C2×Dic71⋊C4—22no—
126C4⋊C4×D71—22no—
127C4⋊C4×D71—22no—
128C2×C22⋊Dic71D412yes—
129C22⋊C4×D71—24no—
130C2×C4×Dic71C2312yes—
131C42×D71—24no—
132#14556061C2318yes—
133#14556059C2318yes—
134Dic71⋊C8C2318yes—
135Dic71⋊C8C2318yes—
136#14556053C2318yes—
137#14556051C2314yes—
138#14556051C2314yes—
139#14556050C2318yes—
140#14556048C2314yes—
141#14556048C2314yes—
142C23×C4×C71C2311yescharacteristic
143C2×M16×C71—24no—
144C2×M16×C71C2312yes—
145C2×M16×C71C2312yes—
146C22×C8×C71C2312yes—
147#117×C71—21no—
148#117×C71—21no—
149#117×C71—21no—
150#117×C71—21no—
151#117×C71C2312yes—
152#117×C71C2312yes—
153#117×C71C2312yes—
154#117×C71C2312yes—
155C2×C4⋊C4×C71C2311yescharacteristic
156C2×C4⋊C4×C71C2311yescharacteristic
157C2×C4⋊C4×C71C2311yescharacteristic
158C2×C4⋊C4×C71C2311yescharacteristic
159C2×C22⋊C4×C71—21no—
160C2×C22⋊C4×C71—21no—
161C2×C42×C71—21no—
162C2×C42×C71—21no—
163#107×C71C2314yes—
164#107×C71C2314yes—
165#106×C71C2314yes—
166#106×C71C2314yes—
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—22no—
190C22×Dic71—22no—
191C22×Dic71—82no—
192C22×Dic71C2×D412yes—
193C22×Dic71C2×D412yes—
194C2×C4×D71—28no—
195C2×C4×D71—22no—
196C2×C4×D71—22no—
197C2×C4×D71—24no—
198C2×C4×D71—24no—
199#11765849—24no—
200#11765849—24no—
201C2×C71⋊C8—24no—
202C2×C71⋊C8C2414yes—
203C4⋊Dic71—22no—
204C4⋊Dic71—22no—
205C4⋊Dic71—22no—
206C4⋊Dic71—28no—
207C4⋊Dic71C2×D412yes—
208C4⋊Dic71C2×D412yes—
209C4⋊Dic71C2×D412yes—
210C4⋊Dic71C2×D412yes—
211C4⋊Dic71C2414yes—
212Dic71⋊C4—24no—
213Dic71⋊C4—24no—
214Dic71⋊C4—28no—
215Dic71⋊C4—28no—
216C22⋊Dic71C2×D414yes—
217C22⋊Dic71C2×D414yes—
218(C2×D71)⋊C4—24no—
219(C2×D71)⋊C4—24no—
220C4×Dic71—24no—
221C4×Dic71—24no—
222C4×Dic71C2×D414yes—
223C4×Dic71C2414yes—
224C24×C71C2×D411yescharacteristic
225C22×C4×C71—21no—
226C22×C4×C71—21no—
227C22×C4×C71—21no—
228C22×C4×C71—21no—
229C22×C4×C71C2×D411yescharacteristic
230C22×C4×C71C2×D411yescharacteristic
231C22×C4×C71C2×D411yescharacteristic
232C22×C4×C71C2×Q814yes—
233C22×C4×C71#4114yes—
234C22×C4×C71C2411yescharacteristic
235C22×C4×C71C2411yescharacteristic
236C22×C4×C71C2411yescharacteristic
237M16×C71—24no—
238M16×C71—24no—
239C2×C8×C71—24no—
240C2×C8×C71C2414yes—
241C4⋊C4×C71—21no—
242C4⋊C4×C71—21no—
243C4⋊C4×C71—21no—
244C4⋊C4×C71—21no—
245C4⋊C4×C71C2412yes—
246C4⋊C4×C71C2412yes—
247C4⋊C4×C71C2412yes—
248C4⋊C4×C71C2412yes—
249C22⋊C4×C71—22no—
250C22⋊C4×C71—22no—
251C22⋊C4×C71—22no—
252C22⋊C4×C71—22no—
253C42×C71—22no—
254C42×C71—22no—
255C42×C71—22no—
256C42×C71—22no—
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—22no—
268C2×C4×C71—22no—
269C2×C4×C71—22no—
270C2×C4×C71—22no—
271C2×C4×C71—42no—
272C2×C4×C71—42no—
273C2×C4×C71—81no—
274C2×C4×C71—81no—
275C2×C4×C71C22⋊Q814yes—
276C2×C4×C71C22⋊Q814yes—
277C2×C4×C71C22⋊Q814yes—
278C2×C4×C71C22×D411yescharacteristic
279C2×C4×C71C22×D411yescharacteristic
280C2×C4×C71C22×D411yescharacteristic
281C2×C4×C71C22×Q812yes—
282C2×C4×C71C22×Q812yes—
283C2×C4×C71C22×Q812yes—
284C2×C4×C71C2×#4112yes—
285C2×C4×C71C2×#4112yes—
286C2×C4×C71C2×#4112yes—
287C2×C4×C71C2511yescharacteristic
288C22⋊D71—28no—
289C22⋊D71—28no—
290C2×Dic71—24no—
291C2×Dic71—22no—
292C2×Dic71—24no—
293C2×Dic71—42no—
294C2×Dic71—42no—
295C2×Dic71—44no—
296C2×Dic71—82no—
297C2×Dic71—82no—
298C2×Dic71C22×D414yes—
299C2×Dic71C22×D414yes—
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—
312C71⋊C8—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—42no—
329C4×C71—42no—
330C4×C71—42no—
331C4×C71—42no—
332C4×C71C2×C22⋊Q812yes—
333C4×C71C2×C22⋊Q812yes—
334C4×C71C2×C22⋊Q812yes—
335C4×C71C23×Q811yescharacteristic
336C4×C71C22×#4111yescharacteristic
337Dic71—24no—
338Dic71—24no—
339Dic71—24no—
340Dic71—44no—
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#2911D7111yescharacteristic, complemented
358C2×#428—711no—
359#2905—711no—
360#2896—711no—
361C2×#417—711no—
362C71#6049311yescharacteristic, complemented, Sylow
363C22×#41—711no—
364C22×M16—711no—
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—1422no—
386C2×#117C2×D7111yescharacteristic
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—714no—
398#428—714no—
399#428C2×D7112yescomplemented
400#428C2×D7112yescomplemented
401#428C2×D7112yescomplemented
402#428C2×D7112yescomplemented
403#427C2×D7114yes—
404C2×#107—712no—
405C2×#106—712no—
406#424—714no—
407#424—714no—
408#423—714no—
409#419—712no—
410#418—712no—
411#417—714no—
412#417—714no—
413#417—712no—
414#417—712no—
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—712no—
433C2×M16—712no—
434C2×M16—1424no—
435C2×M16C22×D7112yes—
436C2×M16C22×D7112yes—
437C22×C8—712no—
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—1422no—
456C4×D4—1422no—
457C4×D4—1424no—
458C4×D4—1424no—
459C4×D4—1424no—
460C4×D4—1424no—
461#117—21no—
462#117—21no—
463#117—21no—
464#117—21no—
465#117—712no—
466#117—712no—
467#117—712no—
468#117—712no—
469#117—1424no—
470#117—1424no—
471#117—1422no—
472#117—1422no—
473#117C22×D7112yes—
474#117C22×D7112yes—
475#117C22×D7112yes—
476#117C22×D7112yes—
477C2×C4⋊C4—711no—
478C2×C4⋊C4—711no—
479C2×C4⋊C4—712no—
480C2×C4⋊C4—712no—
481C2×C4⋊C4—712no—
482C2×C4⋊C4—1422no—
483C2×C4⋊C4—1422no—
484C2×C4⋊C4—1422no—
485C2×C4⋊C4—1422no—
486C2×C4⋊C4—1422no—
487C2×C4⋊C4—1421no—
488C2×C4⋊C4—1421no—
489C2×C4⋊C4—1421no—
490C2×C4⋊C4C22×D7111yescharacteristic
491C2×C4⋊C4C22×D7111yescharacteristic
492C2×C4⋊C4C22×D7111yescharacteristic
493C2×C4⋊C4C22×D7111yescharacteristic
494C2×C22⋊C4—21no—
495C2×C22⋊C4—21no—
496C2×C22⋊C4—712no—
497C2×C22⋊C4—1424no—
498C2×C42—21no—
499C2×C42—21no—
500C2×C42—712no—
501C2×C42—1424no—
502#107—718no—
503#107C22×D7114yes—
504#107C22×D7114yes—
505#106—718no—
506#106C22×D7114yes—
507#106C22×D7114yes—
508C4⋊C8—718no—
509C4⋊C8—718no—
510#103—718no—
511#103—714no—
512#103—714no—
513#102—718no—
514#102—714no—
515#102—714no—
516C24—1421no—
517C24D4×D7111yescharacteristic
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—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—5682no—
542C22×C4—712no—
543C22×C4—712no—
544C22×C4—1424no—
545C22×C4—1424no—
546C22×C4—1422no—
547C22×C4—1422no—
548C22×C4—1422no—
549C22×C4—1421no—
550C22×C4—1422no—
551C22×C4—1422no—
552C22×C4—1428no—
553C22×C4D4×D7111yescharacteristic
554C22×C4D4×D7111yescharacteristic
555C22×C4D4×D7111yescharacteristic
556C22×C4Q8×D7114yes—
557C22×C4#1176586514yes—
558C22×C4C23×D7111yescharacteristic
559C22×C4C23×D7111yescharacteristic
560C22×C4C23×D7111yescharacteristic
561M16—24no—
562M16—24no—
563M16—1424no—
564M16—1424no—
565C2×C8—24no—
566C2×C8—714no—
567C2×C8—1424no—
568C2×C8C23×D7114yes—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—712no—
574C4⋊C4—712no—
575C4⋊C4—712no—
576C4⋊C4—712no—
577C4⋊C4—714no—
578C4⋊C4—1424no—
579C4⋊C4—1424no—
580C4⋊C4—1428no—
581C4⋊C4—1428no—
582C4⋊C4—1428no—
583C4⋊C4—1422no—
584C4⋊C4—1422no—
585C4⋊C4—1422no—
586C4⋊C4C23×D7112yes—
587C4⋊C4C23×D7112yes—
588C4⋊C4C23×D7112yes—
589C4⋊C4C23×D7112yes—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—714no—
595C22⋊C4—714no—
596C22⋊C4—1424no—
597C22⋊C4—1424no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—714no—
603C42—714no—
604C42—1424no—
605C42—1424no—
606C23—41no—
607C23—41no—
608C23—5681no—
609C23—5681no—
610C23—1422no—
611C23—1424no—
612C23#1455610614yes—
613C23C2×D4×D7111yescharacteristic
614C23C2×D4×D7111yescharacteristic
615C23C2×D4×D7111yescharacteristic
616Q8—5688no—
617Q8—714no—
618Q8—1422no—
619Q8—1424no—
620D4—714no—
621D4—1428no—
622D4—1428no—
623D4—1422no—
624D4—1424no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—81no—
632C2×C4—81no—
633C2×C4—2844no—
634C2×C4—2842no—
635C2×C4—2842no—
636C2×C4—5684no—
637C2×C4—5684no—
638C2×C4—5682no—
639C2×C4—5682no—
640C2×C4—714no—
641C2×C4—714no—
642C2×C4—1424no—
643C2×C4—1422no—
644C2×C4—1424no—
645C2×C4—1428no—
646C2×C4—1428no—
647C2×C4#1455610614yes—
648C2×C4#1455610614yes—
649C2×C4#1455610614yes—
650C2×C4C2×D4×D7111yescharacteristic
651C2×C4C2×D4×D7111yescharacteristic
652C2×C4C2×D4×D7111yescharacteristic
653C2×C4C2×Q8×D7112yes—
654C2×C4C2×Q8×D7112yes—
655C2×C4C2×Q8×D7112yes—
656C2×C4C2×#1176586512yes—
657C2×C4C2×#1176586512yes—
658C2×C4C2×#1176586512yes—
659C2×C4C24×D7111yescharacteristic
660C8—24no—
661C8—1424no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—44no—
669C22—2842no—
670C22—2842no—
671C22—5684no—
672C22—1424no—
673C22C2×#1455610612yes—
674C22C2×#1455610612yes—
675C22C2×#1455610612yes—
676C22C22×D4×D7111yescharacteristic
677C4—42no—
678C4—42no—
679C4—42no—
680C4—42no—
681C4—2844no—
682C4—1424no—
683C4—1424no—
684C4—1424no—
685C4C2×#1455610612yes—
686C4C2×#1455610612yes—
687C4C2×#1455610612yes—
688C4C22×Q8×D7111yescharacteristic
689C4C22×#1176586511yescharacteristic
690C2—22no—
691C2—22no—
692C2—22no—
693C2—2844no—
694C2C22×#1455610611yescharacteristic
695C2#2260311711yescharacteristic
696C2#2260312411yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#2911C2
socleC22×C71C23×D4
prime radicalC22×#11765865C22
hypercenter#2911D71
hypocenterC71#60493
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C23×C4 ◁ #2911

Complements

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

NH ≅ G/Ntype
1. C2×#17986627C2semidirect
3. #22598201C2semidirect
4. #22598190C2semidirect
5. #22598185C2semidirect
6. #22598174C2semidirect
7. #22598161C2semidirect
8. #22598153C2semidirect
9. C2×#17986042C2semidirect
10. #22596903C2semidirect
13. C71×#2911C2semidirect
19. #17986627C22semidirect
21. C2×#14556127C22semidirect
23. C2×#14556119C22semidirect
37. #17986309C22semidirect
38. #17986305C22semidirect
39. #17986302C22semidirect
40. #17986298C22semidirect
41. #17986293C22semidirect
42. #17986288C22semidirect
43. #17986283C22semidirect
44. #17986278C22semidirect
46. #17986042C22semidirect
47. C2×#14556061C22semidirect
48. C2×#14556059C22semidirect
49. #17986027C22semidirect
51. #17986022C22semidirect
64. #428×C71C22semidirect
65. #428×C71C22semidirect
66. #428×C71C22semidirect
67. #428×C71C22semidirect
72. C2×#11765865Q8semidirect
173. #11765865C2×Q8semidirect
178. C2×Dic142C2×Q8semidirect
182. C2×D284C2×Q8semidirect
357. #2911D71semidirect
362. C71#60493semidirect
399. #428C2×D71semidirect
400. #428C2×D71semidirect
401. #428C2×D71semidirect
402. #428C2×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179866272
#226015412
#225982012
#225981902
#225981852
#225981742
#225981612
#225981532
C2×#179860422
#225969032
#225968572
C2×#179860012
C71×#29112
#6049371