Finite Group Databasebeta

← #31997033

Subgroups — #31997033

Order 18176.

1590 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D71C211yesmaximal, characteristic
2C2×#17986041C211yesmaximal, characteristic, complemented
3#22590719C211yesmaximal, characteristic
4C2×#17985856C211yesmaximal, characteristic
5#22588374C212yesmaximal, complemented
6#22588370C212yesmaximal, complemented
7#22588366C212yesmaximal, complemented
8#22588362C212yesmaximal, complemented
9#22588061C211yesmaximal, characteristic, complemented
10#22588059C211yesmaximal, characteristic, complemented
11C2×#428×C71C211yesmaximal, characteristic, complemented
12C23×C4×D71C2211yescharacteristic
13C22×#11765849C2211yescharacteristic
14C22×#11765848C2212yes—
15C2×M16×D71—24no—
16C2×M16×D71—24no—
17C2×M16×D71C418yescomplemented
18C22×C8×D71C2212yes—
19C2×#14556087C2211yescharacteristic
20C22×C4⋊Dic71C2211yescharacteristic
21C22×(C2×D71)⋊C4—21no—
22#17986041—24no—
23C2×#14556062C2212yescomplemented
24C2×#14556060C2212yescomplemented
25#17985860—21no—
26#17985856—21no—
27#17985856—21no—
28#17985856C2211yescharacteristic
29#17985856C2212yes—
30#17985856C2211yescharacteristic
31#17985856C2211yescharacteristic
32#17985856C2212yes—
33#17985856C2211yescharacteristic
34#17985854—21no—
35C4×(C2×D71)⋊C4—21no—
36C4×(C2×D71)⋊C4—21no—
37C2×C71⋊#95—21no—
38#17985761C2212yescomplemented
39#17985761C2212yescomplemented
40#17985761C2212yescomplemented
41#17985761C2212yescomplemented
42C22×M16×C71C2211yescharacteristic
43C2×#117×C71C2211yescharacteristic
44C22×C4⋊C4×C71C2211yescharacteristic
45#428×C71—24no—
46C2×#107×C71C2212yescomplemented
47C2×#106×C71C2212yescomplemented
48C24×D71D411yescharacteristic
49C23×Dic71—21no—
50C23×Dic71D411yescharacteristic
51C22×C4×D71—22no—
52C22×C4×D71—22no—
53C22×C4×D71—22no—
54C22×C4×D71—22no—
55C22×C4×D71C2×C414yes—
56C22×C4×D71D411yescharacteristic
57C22×C4×D71D411yescharacteristic
58C22×C4×D71Q814yes—
59C22×C4×D71C2311yescharacteristic
60C22×C4×D71C2311yescharacteristic
61C2×#11765849—22no—
62C2×#11765849—22no—
63C2×#11765849C2×C414yes—
64C2×#11765848—24no—
65C2×#11765848—24no—
66C2×#11765848C2×C418yescomplemented
67M16×D71—232no—
68C22×C71⋊C8C2312yes—
69C2×C8×D71—24no—
70C2×C8×D71—24no—
71C2×C8×D71C2×C418yescomplemented
72#14556087—22no—
73#14556087—22no—
74C2×C4⋊Dic71—22no—
75C2×C4⋊Dic71—21no—
76C2×C4⋊Dic71—22no—
77C2×C4⋊Dic71C2312yes—
78C2×C4⋊Dic71C2311yescharacteristic
79C2×C4⋊Dic71C2311yescharacteristic
80C2×C22⋊Dic71—21no—
81C2×(C2×D71)⋊C4—21no—
82C2×(C2×D71)⋊C4—21no—
83C2×(C2×D71)⋊C4—21no—
84C2×(C2×D71)⋊C4—21no—
85C2×(C2×D71)⋊C4—22no—
86C2×(C2×D71)⋊C4—22no—
87C2×(C2×D71)⋊C4—44no—
88C2×C4×Dic71—21no—
89#14556062—24no—
90#14556060—24no—
91C71⋊#95—22no—
92C71⋊#95—22no—
93C71⋊#95—21no—
94C71⋊#95—21no—
95C71⋊#95—21no—
96C71⋊#95—21no—
97C23×C4×C71—21no—
98C23×C4×C71C2311yescharacteristic
99C2×M16×C71C2×C414yes—
100C2×M16×C71D414yes—
101C2×M16×C71D414yes—
102C22×C8×C71C2312yes—
103#117×C71—22no—
104#117×C71—22no—
105C2×C4⋊C4×C71—22no—
106C2×C4⋊C4×C71—22no—
107C2×C4⋊C4×C71—21no—
108C2×C4⋊C4×C71C2311yescharacteristic
109C2×C4⋊C4×C71C2312yes—
110C2×C4⋊C4×C71C2311yescharacteristic
111C2×C22⋊C4×C71—21no—
112C2×C42×C71—21no—
113#107×C71—24no—
114#106×C71—24no—
115C23×D71—22no—
116C23×D71—22no—
117C23×D71—22no—
118C23×D71—22no—
119C23×D71—41no—
120C23×D71—41no—
121C23×D71C4⋊C414yes—
122C23×D71C2×D411yescharacteristic
123C23×D71C2×D411yescharacteristic
124C22×Dic71—22no—
125C22×Dic71—22no—
126C22×Dic71—22no—
127C22×Dic71—21no—
128C22×Dic71—21no—
129C22×Dic71—42no—
130C22×Dic71—42no—
131C22×Dic71—42no—
132C22×Dic71C4⋊C414yes—
133C22×Dic71C2×D411yescharacteristic
134C22×Dic71C2×D411yescharacteristic
135C2×C4×D71—28no—
136C2×C4×D71—28no—
137C2×C4×D71—22no—
138C2×C4×D71—22no—
139C2×C4×D71—22no—
140C2×C4×D71—22no—
141C2×C4×D71—28no—
142C2×C4×D71—28no—
143C2×C4×D71—21no—
144C2×C4×D71—21no—
145C2×C4×D71—21no—
146C2×C4×D71—21no—
147C2×C4×D71—21no—
148C2×C4×D71—21no—
149C2×C4×D71—21no—
150C2×C4×D71—21no—
151C2×C4×D71C4⋊C414yes—
152C2×C4×D71C4⋊C414yes—
153C2×C4×D71C22×C412yes—
154C2×C4×D71C22×C412yes—
155C2×C4×D71C2×Q812yes—
156C2×C4×D71C2×Q812yes—
157#11765849—28no—
158#11765848—216no—
159C2×C71⋊C8—22no—
160C2×C71⋊C8—22no—
161C2×C71⋊C8C22×C414yes—
162C8×D71—216no—
163C4⋊Dic71—21no—
164C4⋊Dic71—22no—
165C4⋊Dic71—21no—
166C4⋊Dic71—22no—
167C4⋊Dic71—21no—
168C4⋊Dic71—21no—
169C4⋊Dic71—42no—
170C22⋊Dic71—42no—
171(C2×D71)⋊C4—42no—
172(C2×D71)⋊C4—42no—
173(C2×D71)⋊C4—44no—
174(C2×D71)⋊C4—42no—
175(C2×D71)⋊C4—44no—
176(C2×D71)⋊C4—42no—
177C4×Dic71—42no—
178C24×C71C2×D411yescharacteristic
179C22×C4×C71—21no—
180C22×C4×C71—21no—
181C22×C4×C71—22no—
182C22×C4×C71—42no—
183C22×C4×C71—42no—
184C22×C4×C71—42no—
185C22×C4×C71C22×C412yes—
186C22×C4×C71C2×D411yescharacteristic
187C22×C4×C71C2×D412yes—
188C22×C4×C71C2×D412yes—
189C22×C4×C71C2×Q812yes—
190C22×C4×C71#4112yes—
191C22×C4×C71#4112yes—
192C22×C4×C71C2411yescharacteristic
193M16×C71C22⋊C4116yescomplemented
194C2×C8×C71C22×C414yes—
195C2×C8×C71C2×D414yes—
196C2×C8×C71C2×D414yes—
197C4⋊C4×C71—21no—
198C4⋊C4×C71—22no—
199C4⋊C4×C71—21no—
200C4⋊C4×C71—22no—
201C4⋊C4×C71—21no—
202C4⋊C4×C71—21no—
203C4⋊C4×C71—42no—
204C22⋊C4×C71—42no—
205C42×C71—42no—
206C23×C71—21no—
207C23×C71—21no—
208C23×C71—21no—
209C23×C71—21no—
210C23×C71C2×C4⋊C412yes—
211C23×C71#12112yes—
212C23×C71#12112yes—
213C23×C71C22×D411yescharacteristic
214C22×D71—21no—
215C22×D71—21no—
216C22×D71—21no—
217C22×D71—21no—
218C22×D71—21no—
219C22×D71—21no—
220C22×D71—21no—
221C22×D71—21no—
222C22×D71—21no—
223C22×D71—21no—
224C22×D71—28no—
225C22×D71—28no—
226C22×D71—44no—
227C22×D71—44no—
228C22×D71—44no—
229C22×D71—44no—
230C22×D71—44no—
231C22×D71C2×C4⋊C412yes—
232C22×D71C2×C4⋊C412yes—
233C22×D71AGL(1,ℤ/8)12yes—
234C22×D71#13712yes—
235C2×C4×C71—41no—
236C2×C4×C71—41no—
237C2×C4×C71—42no—
238C2×C4×C71—42no—
239C2×C4×C71—41no—
240C2×C4×C71—41no—
241C2×C4×C71—42no—
242C2×C4×C71—41no—
243C2×C4×C71—41no—
244C2×C4×C71—84no—
245C2×C4×C71C2×C22⋊C414yes—
246C2×C4×C71C2×C4⋊C412yes—
247C2×C4×C71#11714yes—
248C2×C4×C71#12112yes—
249C2×C4×C71#12112yes—
250C2×C4×C71C22⋊Q814yes—
251C2×C4×C71C22⋊Q814yes—
252C2×C4×C71C23×C411yescharacteristic
253C2×C4×C71C22×D411yescharacteristic
254C2×C4×C71C22×D411yescharacteristic
255C2×C4×C71C22×Q811yescharacteristic
256C2×C4×C71C2×#4111yescharacteristic
257C2×C4×C71C2×#4111yescharacteristic
258C2×Dic71—21no—
259C2×Dic71—21no—
260C2×Dic71—21no—
261C2×Dic71—21no—
262C2×Dic71—28no—
263C2×Dic71—41no—
264C2×Dic71—41no—
265C2×Dic71—42no—
266C2×Dic71—42no—
267C2×Dic71—41no—
268C2×Dic71—41no—
269C2×Dic71—41no—
270C2×Dic71—41no—
271C2×Dic71—42no—
272C2×Dic71—84no—
273C2×Dic71C2×C4⋊C412yes—
274C2×Dic71C2×C4⋊C412yes—
275C4×D71—22no—
276C4×D71—22no—
277C4×D71—22no—
278C4×D71—22no—
279C4×D71—22no—
280C4×D71—22no—
281C4×D71—22no—
282C4×D71—22no—
283C4×D71—28no—
284C4×D71—28no—
285C8×C71C2×C22⋊C418yescomplemented
286C71⋊C8—24no—
287C22×C71—22no—
288C22×C71—22no—
289C22×C71—22no—
290C22×C71—22no—
291C22×C71—22no—
292C22×C71—22no—
293C22×C71#38014yes—
294C22×C71C22×C4⋊C411yescharacteristic
295C22×C71C2×#12111yescharacteristic
296C22×C71C2×#12111yescharacteristic
297C22×C71C2×AGL(1,ℤ/8)11yescharacteristic
298C22×C71C2×#13711yescharacteristic
299C22×C71#57511yescharacteristic
300C22×C71#57511yescharacteristic
301C2×D71—22no—
302C2×D71—22no—
303C2×D71—22no—
304C2×D71—22no—
305C2×D71—22no—
306C2×D71—22no—
307C2×D71—22no—
308C2×D71—22no—
309C2×D71—22no—
310C2×D71—416no—
311C2×D71—41no—
312C2×D71—41no—
313C2×D71—41no—
314C2×D71—41no—
315C2×D71#42814yescomplemented
316C4×C71—81no—
317C4×C71—82no—
318C4×C71—81no—
319C4×C71#38014yes—
320C4×C71C22×C22⋊C411yescharacteristic
321C4×C71C2×#11711yescharacteristic
322C4×C71C2×C22⋊Q811yescharacteristic
323C4×C71C2×C22⋊Q811yescharacteristic
324Dic71—22no—
325Dic71—22no—
326Dic71—81no—
327Dic71—82no—
328Dic71—81no—
329#20661—711nomaximal, Sylow
330C2×C71—24no—
331C2×C71C2×#38011yescharacteristic
332C2×C71C2×#42811yescharacteristic
333C2×C71#291111yescharacteristic
334C2×C71#305511yescharacteristic
335C2×C71#305511yescharacteristic
336C2×C71#305611yescharacteristic
337C2×C71#305611yescharacteristic
338D71—24no—
339D71—42no—
340C23×M16—711no—
341C2×#428—711no—
342C2×#428D7111yescharacteristic, complemented
343#2280—711no—
344C2×#380—711no—
345#1809—712no—
346#1809—712no—
347#1808—712no—
348#1807—712no—
349#1736—711no—
350#1736—711no—
351C71#2066111yescharacteristic, complemented, Sylow
352C24×C4—711no—
353C22×M16—711no—
354C22×M16—718no—
355C22×M16—712no—
356C22×M16—1424no—
357C22×M16—1424no—
358C22×M16C2×D7111yescharacteristic
359C23×C8—712no—
360C2×#117—711no—
361C2×#117C2×D7111yescharacteristic
362C22×C4⋊C4—711no—
363C22×C4⋊C4C2×D7111yescharacteristic
364C22×C22⋊C4—1421no—
365#428—24no—
366#428—1424no—
367C2×#107—712no—
368C2×#107C2×D7112yescomplemented
369C2×#106—712no—
370C2×#106C2×D7112yescomplemented
371#381—1421no—
372#380—711no—
373#380—712no—
374#380—711no—
375#380—712no—
376#380—711no—
377#380—711no—
378#380—1421no—
379#380—1421no—
380#379—1421no—
381C4×C22⋊C4—1421no—
382C4×C22⋊C4—1421no—
383C2×#95—1421no—
384#340—712no—
385#340—712no—
386#340—712no—
387#340—712no—
388C25—711no—
389C23×C4—21no—
390C23×C4—711no—
391C23×C4—714no—
392C23×C4—711no—
393C23×C4—711no—
394C23×C4—714no—
395C23×C4—711no—
396C23×C4—711no—
397C23×C4—1421no—
398C23×C4—1422no—
399C23×C4—1422no—
400C23×C4—1422no—
401C23×C4—1422no—
402C23×C4C22×D7111yescharacteristic
403C2×M16—714no—
404C2×M16—718no—
405C2×M16—1422no—
406C2×M16—1422no—
407C2×M16—14232no—
408C2×M16—1424no—
409C2×M16—1424no—
410C2×M16C4×D7114yes—
411C2×M16D28414yes—
412C2×M16C22⋊D7114yes—
413C22×C8—712no—
414C22×C8—718no—
415C22×C8—1424no—
416C22×C8—1424no—
417C22×C8C22×D7112yes—
418#117—22no—
419#117—22no—
420#117—1422no—
421#117—1422no—
422C2×C4⋊C4—22no—
423C2×C4⋊C4—22no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—712no—
426C2×C4⋊C4—711no—
427C2×C4⋊C4—711no—
428C2×C4⋊C4—1421no—
429C2×C4⋊C4—1422no—
430C2×C4⋊C4—1422no—
431C2×C4⋊C4C22×D7112yes—
432C2×C4⋊C4C22×D7111yescharacteristic
433C2×C4⋊C4C22×D7111yescharacteristic
434C2×C22⋊C4—21no—
435C2×C22⋊C4—2844no—
436C2×C22⋊C4—1422no—
437C2×C22⋊C4—1422no—
438C2×C22⋊C4—1421no—
439C2×C22⋊C4—1421no—
440C2×C22⋊C4—1421no—
441C2×C22⋊C4—1421no—
442C2×C22⋊C4—1421no—
443C2×C42—21no—
444C2×C42—1421no—
445#107—24no—
446#107—1424no—
447#106—24no—
448#106—1424no—
449#95—1422no—
450#95—1422no—
451#95—1421no—
452#95—1421no—
453#95—1421no—
454#95—1421no—
455C24—2841no—
456C24—2841no—
457C24—714no—
458C24—711no—
459C24—711no—
460C24—1422no—
461C24—1422no—
462C24—1422no—
463C24—1422no—
464C24D4×D7111yescharacteristic
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—2842no—
472C22×C4—2842no—
473C22×C4—2842no—
474C22×C4—711no—
475C22×C4—711no—
476C22×C4—714no—
477C22×C4—712no—
478C22×C4—712no—
479C22×C4—712no—
480C22×C4—712no—
481C22×C4—714no—
482C22×C4—714no—
483C22×C4—1421no—
484C22×C4—1421no—
485C22×C4—1422no—
486C22×C4—1422no—
487C22×C4—1422no—
488C22×C4—1421no—
489C22×C4—1421no—
490C22×C4—1421no—
491C22×C4—1421no—
492C22×C4—1421no—
493C22×C4—1421no—
494C22×C4—1421no—
495C22×C4—1421no—
496C22×C4—1428no—
497C22×C4—1428no—
498C22×C4—1422no—
499C22×C4—1422no—
500C22×C4—1422no—
501C22×C4—1422no—
502C22×C4—1428no—
503C22×C4—1428no—
504C22×C4C2×C4×D7112yes—
505C22×C4D4×D7111yescharacteristic
506C22×C4C2×C22⋊D7112yes—
507C22×C4C2×D28412yes—
508C22×C4Q8×D7112yes—
509C22×C4#1176586412yes—
510C22×C4#1176586612yes—
511C22×C4C23×D7111yescharacteristic
512M16—1428no—
513M16—14216no—
514M16(C2×D71)⋊C4116yescomplemented
515C2×C8—714no—
516C2×C8—1422no—
517C2×C8—1422no—
518C2×C8—14216no—
519C2×C8C2×C4×D7114yes—
520C2×C8C2×C22⋊D7114yes—
521C2×C8C2×D28414yes—
522C4⋊C4—21no—
523C4⋊C4—22no—
524C4⋊C4—21no—
525C4⋊C4—22no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—42no—
529C4⋊C4—2842no—
530C4⋊C4—1421no—
531C4⋊C4—1422no—
532C4⋊C4—1421no—
533C4⋊C4—1422no—
534C4⋊C4—1421no—
535C4⋊C4—1421no—
536C22⋊C4—42no—
537C22⋊C4—2844no—
538C22⋊C4—2842no—
539C22⋊C4—2842no—
540C22⋊C4—2844no—
541C22⋊C4—2842no—
542C22⋊C4—2842no—
543C22⋊C4—2842no—
544C42—42no—
545C42—2842no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—2844no—
551C23—2844no—
552C23—2844no—
553C23—2844no—
554C23—2844no—
555C23—712no—
556C23—712no—
557C23—712no—
558C23—712no—
559C23—1428no—
560C23—1428no—
561C23—1421no—
562C23—1421no—
563C23—1421no—
564C23—1421no—
565C23—1421no—
566C23—1421no—
567C23—1421no—
568C23—1421no—
569C23—1421no—
570C23—1421no—
571C23C4⋊C4×D7112yes—
572C23#1455609912yes—
573C23#1455610312yes—
574C23C2×D4×D7111yescharacteristic
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—42no—
578C2×C4—42no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—42no—
583C2×C4—41no—
584C2×C4—84no—
585C2×C4—2841no—
586C2×C4—2841no—
587C2×C4—2842no—
588C2×C4—2842no—
589C2×C4—2841no—
590C2×C4—2841no—
591C2×C4—2841no—
592C2×C4—2841no—
593C2×C4—2842no—
594C2×C4—5684no—
595C2×C4—712no—
596C2×C4—712no—
597C2×C4—1428no—
598C2×C4—1421no—
599C2×C4—1421no—
600C2×C4—1421no—
601C2×C4—1421no—
602C2×C4—1428no—
603C2×C4—1428no—
604C2×C4—1422no—
605C2×C4—1422no—
606C2×C4—1422no—
607C2×C4—1422no—
608C2×C4—1422no—
609C2×C4—1422no—
610C2×C4—1422no—
611C2×C4—1422no—
612C2×C4C2×(C2×D71)⋊C414yes—
613C2×C4C4⋊C4×D7112yes—
614C2×C4#1455608614yes—
615C2×C4#1455609912yes—
616C2×C4#1455610312yes—
617C2×C4#1455610414yes—
618C2×C4#1455610814yes—
619C2×C4C22×C4×D7111yescharacteristic
620C2×C4C22×C22⋊D7111yescharacteristic
621C2×C4C22×D28411yescharacteristic
622C2×C4C2×Q8×D7111yescharacteristic
623C2×C4C2×#1176586411yescharacteristic
624C2×C4C2×#1176586611yescharacteristic
625C8—1424no—
626C8C2×(C2×D71)⋊C418yescomplemented
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—28416no—
634C22—2841no—
635C22—2841no—
636C22—2841no—
637C22—2841no—
638C22—714no—
639C22—1422no—
640C22—1422no—
641C22—1422no—
642C22—1422no—
643C22—1422no—
644C22—1422no—
645C22—1422no—
646C22—1422no—
647C22—1422no—
648C22#1798585614yes—
649C22C2×C4⋊C4×D7111yescharacteristic
650C22C2×#1455609911yescharacteristic
651C22C2×#1455610311yescharacteristic
652C22AGL(1,ℤ/8)×D7111yescharacteristic
653C22#137×D7111yescharacteristic
654C22#1798679511yescharacteristic
655C22#1798679811yescharacteristic
656C4—82no—
657C4—81no—
658C4—81no—
659C4—5682no—
660C4—5681no—
661C4—5681no—
662C4—1422no—
663C4—1422no—
664C4#1798585614yes—
665C4C22×(C2×D71)⋊C411yescharacteristic
666C4C2×#1455608611yescharacteristic
667C4C2×#1455610411yescharacteristic
668C4C2×#1455610811yescharacteristic
669C2—24no—
670C2—2842no—
671C2—1424no—
672C2C2×#1798585611yescharacteristic
673C2#428×D7111yescharacteristic
674C2#2259692711yescharacteristic
675C2#2259795311yescharacteristic
676C2#2259796011yescharacteristic
677C2#2259796411yescharacteristic
678C2#2259797111yescharacteristic
subgroupG/H
centerC23C2×D4×D71
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
FittingC2×#428×C71C2
socleC23×C71C22×D4
prime radicalC24×D71D4
cosocleC22×C4×C71C24
hypercenterC2×#428D71
hypocenterC71#20661
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#17986041C2semidirect
5. #22588374C2semidirect
6. #22588370C2semidirect
7. #22588366C2semidirect
8. #22588362C2semidirect
9. #22588061C2semidirect
10. #22588059C2semidirect
11. C2×#428×C71C2semidirect
17. C2×M16×D71C4semidirect
23. C2×#14556062C22semidirect
24. C2×#14556060C22semidirect
38. #17985761C22semidirect
39. #17985761C22semidirect
40. #17985761C22semidirect
41. #17985761C22semidirect
46. C2×#107×C71C22semidirect
47. C2×#106×C71C22semidirect
66. C2×#11765848C2×C4semidirect
71. C2×C8×D71C2×C4semidirect
193. M16×C71C22⋊C4semidirect
285. C8×C71C2×C22⋊C4semidirect
315. C2×D71#428semidirect
342. C2×#428D71semidirect
351. C71#20661semidirect
368. C2×#107C2×D71semidirect
370. C2×#106C2×D71semidirect
514. M16(C2×D71)⋊C4semidirect
626. C8C2×(C2×D71)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×M16×D712
C2×#179860412
#225907192
C2×#179858562
#225883742
#225883702
#225883662
#225883622
#225880612
#225880592
C2×#428×C712
#2066171