Finite Group Databasebeta

← C2×#22598270 #32865238

Subgroups — C2×#22598270 #32865238

Order 18176.

2346 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986506C211yesmaximal, characteristic
2C22×#14556086C211yesmaximal, characteristic, complemented
3#22598270C2116yesmaximal, direct product factor
4C2×#17986339C212yesmaximal, complemented
5C2×#17986338C212yesmaximal, complemented
6C2×#17986322C212yesmaximal, complemented
7C2×#17986321C212yesmaximal, complemented
8C2×#17986041C211yesmaximal, characteristic, complemented
9C2×#17986039C211yesmaximal, characteristic, complemented
10C2×#17986000C211yesmaximal, characteristic, complemented
11C2×#17985962C211yesmaximal, characteristic, complemented
12C2×#417×C71C211yesmaximal, characteristic, complemented
13C23×C4×D71C2211yescharacteristic
14C22×#11765849C2211yescharacteristic
15#17986506—24no—
16#17986506C2218yes—
17C2×#14556109—21no—
18C2×#14556104C2211yescharacteristic
19C2×#14556104C2211yescharacteristic
20C2×#14556099C2211yescharacteristic
21C2×#14556099C2211yescharacteristic
22C2×#14556096—21no—
23C2×C4×C22⋊D71—21no—
24C2×C4×C22⋊D71—21no—
25C2×#14556087C2211yescharacteristic
26C2×#14556086—21no—
27C2×#14556086—21no—
28C2×#14556086—24no—
29C2×#14556086C2212yes—
30C2×#14556086C2212yes—
31C2×#14556086C2218yescomplemented
32C22×C4⋊Dic71C2211yescharacteristic
33C22×(C2×D71)⋊C4—21no—
34C22×C4×Dic71—21no—
35#17986339C22116yescomplemented
36#17986338C22116yescomplemented
37#17986322C22116yescomplemented
38#17986321C22116yescomplemented
39#17986041C2218yescomplemented
40#17986039C2218yescomplemented
41C2×#14556062C2212yescomplemented
42C2×#14556061C2212yescomplemented
43C2×#14556060C2212yescomplemented
44C2×#14556059C2212yescomplemented
45#17986000C2218yescomplemented
46C2×#14556052C2212yescomplemented
47C2×#14556049C2212yescomplemented
48#17985962C2218yescomplemented
49C2×(C2×D71)⋊C8C2212yes—
50C2×(C2×D71)⋊C8C2212yes—
51C22×#41×C71C2211yescharacteristic
52C22×M16×C71C2211yescharacteristic
53C22×C4⋊C4×C71C2211yescharacteristic
54#417×C71C2218yescomplemented
55C2×#103×C71C2212yescomplemented
56C2×#102×C71C2212yescomplemented
57C24×D71D411yescharacteristic
58C22×C22⋊D71—21no—
59C22×C22⋊D71—21no—
60C23×Dic71—21no—
61C23×Dic71D411yescharacteristic
62C22×C4×D71—24no—
63C22×C4×D71—24no—
64C22×C4×D71D411yescharacteristic
65C22×C4×D71D411yescharacteristic
66C22×C4×D71D414yes—
67C22×C4×D71C2311yescharacteristic
68C22×C4×D71C2311yescharacteristic
69C22×C4×D71C2314yes—
70C2×#11765849—24no—
71C2×#11765849C2314yes—
72C22×C71⋊C8C2312yes—
73#14556109—28no—
74#14556104—22no—
75#14556104—22no—
76#14556104C2314yes—
77#14556104C2314yes—
78#14556099—22no—
79#14556099—22no—
80#14556099C2314yes—
81#14556099C2314yes—
82#14556096—28no—
83C4×C22⋊D71—28no—
84C4×C22⋊D71—28no—
85#14556087—22no—
86#14556087C2314yes—
87#14556086—24no—
88#14556086—24no—
89#14556086—28no—
90#14556086—28no—
91#14556086C2318yes—
92#14556086C2318yes—
93C2×C4⋊Dic71—21no—
94C2×C4⋊Dic71—22no—
95C2×C4⋊Dic71C2312yes—
96C2×C4⋊Dic71C2314yes—
97C2×C4⋊Dic71C2311yescharacteristic
98C2×C4⋊Dic71C2311yescharacteristic
99C2×Dic71⋊C4—21no—
100C2×Dic71⋊C4—21no—
101C2×C22⋊Dic71—21no—
102C2×C22⋊Dic71—21no—
103C2×C22⋊Dic71—21no—
104C2×(C2×D71)⋊C4—22no—
105C2×(C2×D71)⋊C4—22no—
106C2×(C2×D71)⋊C4—28no—
107C2×(C2×D71)⋊C4—21no—
108C2×(C2×D71)⋊C4—21no—
109C2×C4×Dic71—22no—
110C2×C4×Dic71—22no—
111C2×C4×Dic71—28no—
112C2×C4×Dic71—21no—
113#14556062C2318yescomplemented
114#14556061C2318yescomplemented
115#14556060C2318yescomplemented
116#14556059C2318yescomplemented
117#14556052C2318yescomplemented
118#14556049C2318yescomplemented
119(C2×D71)⋊C8C2318yes—
120(C2×D71)⋊C8C2318yes—
121C2×#41×C71—22no—
122C2×#41×C71—24no—
123C2×#41×C71—24no—
124C2×#41×C71C2314yes—
125C22×Q8×C71C2311yescharacteristic
126C22×D4×C71—21no—
127C22×D4×C71C2311yescharacteristic
128C23×C4×C71—21no—
129C23×C4×C71—21no—
130C23×C4×C71C2311yescharacteristic
131C2×M16×C71—24no—
132C2×M16×C71C2314yes—
133C22×C8×C71C2312yes—
134C2×C4⋊C4×C71—21no—
135C2×C4⋊C4×C71—22no—
136C2×C4⋊C4×C71C2312yes—
137C2×C4⋊C4×C71C2314yes—
138#103×C71C2318yescomplemented
139#102×C71C2318yescomplemented
140C23×D71—24no—
141C23×D71—42no—
142C23×D71—42no—
143C23×D71C2×D411yescharacteristic
144C23×D71C2×D411yescharacteristic
145C23×D71C2×D414yes—
146C2×C22⋊D71—24no—
147C2×C22⋊D71—24no—
148C2×C22⋊D71—44no—
149C2×C22⋊D71—44no—
150C22×Dic71—24no—
151C22×Dic71—24no—
152C22×Dic71—22no—
153C22×Dic71—21no—
154C22×Dic71—21no—
155C22×Dic71—44no—
156C22×Dic71C2×D411yescharacteristic
157C22×Dic71C2×D411yescharacteristic
158C22×Dic71C2×D414yes—
159C2×C4×D71—24no—
160C2×C4×D71—24no—
161C2×C4×D71—216no—
162C2×C4×D71—22no—
163C2×C4×D71—22no—
164C2×C4×D71—28no—
165C2×C4×D71—22no—
166C2×C4×D71—22no—
167C2×C4×D71—28no—
168C2×C4×D71C2×D414yes—
169C2×C4×D71C2×D414yes—
170C2×C4×D71C2×D412yes—
171C2×C4×D71C2×D412yes—
172C2×C4×D71C2412yes—
173C2×C4×D71C2412yes—
174#11765849—28no—
175C2×C71⋊C8—24no—
176C2×C71⋊C8C2414yes—
177C4⋊Dic71—24no—
178C4⋊Dic71—22no—
179C4⋊Dic71—21no—
180C4⋊Dic71—21no—
181C4⋊Dic71C2414yes—
182C4⋊Dic71C2412yes—
183C4⋊Dic71C2412yes—
184Dic71⋊C4—24no—
185Dic71⋊C4—24no—
186C22⋊Dic71—24no—
187C22⋊Dic71—24no—
188C22⋊Dic71—24no—
189(C2×D71)⋊C4—28no—
190(C2×D71)⋊C4—28no—
191(C2×D71)⋊C4—24no—
192(C2×D71)⋊C4—24no—
193C4×Dic71—24no—
194C4×Dic71—28no—
195C4×Dic71—28no—
196C24×C71—21no—
197C24×C71C2×D411yescharacteristic
198#41×C71—28no—
199#41×C71—28no—
200#41×C71—48no—
201C2×Q8×C71—21no—
202C2×Q8×C71—22no—
203C2×Q8×C71—22no—
204C2×Q8×C71C2412yes—
205C2×D4×C71—24no—
206C2×D4×C71—21no—
207C2×D4×C71—22no—
208C2×D4×C71—22no—
209C2×D4×C71—44no—
210C2×D4×C71C2412yes—
211C22×C4×C71—24no—
212C22×C4×C71—22no—
213C22×C4×C71—21no—
214C22×C4×C71—24no—
215C22×C4×C71—44no—
216C22×C4×C71—44no—
217C22×C4×C71C2×D411yescharacteristic
218C22×C4×C71C2×D412yes—
219C22×C4×C71#4114yes—
220C22×C4×C71#4114yes—
221C22×C4×C71C2411yescharacteristic
222C22×C4×C71C2412yes—
223M16×C71—28no—
224C2×C8×C71—24no—
225C2×C8×C71C2414yes—
226C4⋊C4×C71—24no—
227C4⋊C4×C71—22no—
228C4⋊C4×C71C2414yes—
229C23×C71—22no—
230C23×C71—22no—
231C23×C71—22no—
232C23×C71—42no—
233C23×C71—42no—
234C23×C71—42no—
235C23×C71#12314yes—
236C23×C71C22×D412yes—
237C23×C71C22×D411yescharacteristic
238C22×D71—28no—
239C22×D71—22no—
240C22×D71—22no—
241C22×D71—22no—
242C22×D71—22no—
243C22×D71—22no—
244C22×D71—22no—
245C22×D71—44no—
246C22×D71—44no—
247C22×D71—416no—
248C22×D71C22×D412yes—
249C22×D71C22×D412yes—
250Q8×C71—22no—
251Q8×C71—22no—
252Q8×C71—42no—
253D4×C71—22no—
254D4×C71—22no—
255D4×C71—48no—
256D4×C71—42no—
257C2×C4×C71—24no—
258C2×C4×C71—22no—
259C2×C4×C71—48no—
260C2×C4×C71—42no—
261C2×C4×C71—44no—
262C2×C4×C71—48no—
263C2×C4×C71#12314yes—
264C2×C4×C71#12318yes—
265C2×C4×C71C22×D412yes—
266C2×C4×C71C22×D411yescharacteristic
267C2×C4×C71C2×#4112yes—
268C2×C4×C71C2×#4114yes—
269C2×C4×C71C2×#4112yes—
270C2×C4×C71C2×#4114yes—
271C2×C4×C71C2511yescharacteristic
272C22⋊D71—48no—
273C22⋊D71—48no—
274C2×Dic71—28no—
275C2×Dic71—22no—
276C2×Dic71—22no—
277C2×Dic71—24no—
278C2×Dic71—22no—
279C2×Dic71—22no—
280C2×Dic71—48no—
281C2×Dic71—44no—
282C2×Dic71—42no—
283C2×Dic71—42no—
284C2×Dic71C22×D412yes—
285C2×Dic71C22×D412yes—
286C4×D71—28no—
287C4×D71—28no—
288C4×D71—24no—
289C4×D71—24no—
290C4×D71—22no—
291C4×D71—22no—
292C4×D71—22no—
293C4×D71—22no—
294C8×C71—24no—
295C71⋊C8—24no—
296C22×C71—28no—
297C22×C71—22no—
298C22×C71—22no—
299C22×C71—42no—
300C22×C71—42no—
301C22×C71—42no—
302C22×C71—84no—
303C22×C71C2×#12314yes—
304C22×C71C2×#12312yes—
305C22×C71#57512yes—
306C22×C71#57512yes—
307C22×C71C23×D411yescharacteristic
308C2×D71—22no—
309C2×D71—22no—
310C2×D71—22no—
311C2×D71—22no—
312C2×D71—22no—
313C2×D71—22no—
314C2×D71—416no—
315C2×D71—44no—
316C2×D71—44no—
317C4×C71—42no—
318C4×C71—44no—
319C4×C71C2×#12314yes—
320C4×C71C2×#12312yes—
321C4×C71C22×#4111yescharacteristic
322C4×C71C22×#4111yescharacteristic
323Dic71—22no—
324Dic71—22no—
325Dic71—44no—
326Dic71—42no—
327Dic71—42no—
328C2×#3093—711nomaximal, Sylow
329C2×C71—24no—
330C2×C71—82no—
331C2×C71#309314yescomplemented
332C2×C71C22×#12311yescharacteristic
333C2×C71C2×#57511yescharacteristic
334C2×C71C2×#57511yescharacteristic
335D71—42no—
336D71—42no—
337C2×#525—711no—
338C22×#117—711no—
339#3093—7116no—
340C2×#485—712no—
341C2×#485—712no—
342C2×#482—712no—
343C2×#482—712no—
344C2×#428—711no—
345C2×#428—711no—
346C2×#417—711no—
347C2×#417D7111yescharacteristic, complemented
348C2×#407—711no—
349C71C2×#309311yescharacteristic, complemented, Sylow
350C22×#41C2×D7111yescharacteristic
351C24×C4—711no—
352C22×M16—711no—
353C22×M16C2×D7111yescharacteristic
354#525—718no—
355#525—1424no—
356C2×#123—1421no—
357C2×C22⋊Q8—711no—
358C2×C22⋊Q8—711no—
359C2×#121—711no—
360C2×#121—711no—
361C2×#120—1421no—
362C2×C4×D4—1421no—
363C2×C4×D4—1421no—
364C2×#117—711no—
365C2×#117—712no—
366C2×#117—712no—
367C2×#117—718no—
368C2×#117—1421no—
369C2×#117—1421no—
370C2×#117—1424no—
371C22×C4⋊C4—711no—
372C22×C4⋊C4C2×D7111yescharacteristic
373C22×C22⋊C4—1421no—
374C22×C42—1421no—
375#485—7116no—
376#485—7116no—
377#482—7116no—
378#482—7116no—
379#428—718no—
380#428—718no—
381C2×#107—712no—
382C2×#107—712no—
383C2×#106—712no—
384C2×#106—712no—
385#417—718no—
386#417C2×D7118yescomplemented
387C2×#103—712no—
388C2×#103C2×D7112yescomplemented
389C2×#102—712no—
390C2×#102C2×D7112yescomplemented
391#407—718no—
392C2×C22⋊C8—712no—
393C2×C22⋊C8—712no—
394C25—711no—
395C2×#41—22no—
396C2×#41—24no—
397C2×#41—24no—
398C2×#41C22×D7114yes—
399C22×Q8C22×D7111yescharacteristic
400C22×D4—21no—
401C22×D4—1421no—
402C22×D4—1421no—
403C22×D4C22×D7111yescharacteristic
404C23×C4—21no—
405C23×C4—21no—
406C23×C4—711no—
407C23×C4—711no—
408C23×C4—711no—
409C23×C4—714no—
410C23×C4—711no—
411C23×C4—711no—
412C23×C4—714no—
413C23×C4—1421no—
414C23×C4—1424no—
415C23×C4—1424no—
416C23×C4C22×D7111yescharacteristic
417C2×M16—24no—
418C2×M16—714no—
419C2×M16—1424no—
420C2×M16C22×D7114yes—
421C22×C8—712no—
422C22×C8C22×D7112yes—
423#123—1428no—
424C22⋊Q8—714no—
425C22⋊Q8—714no—
426C22⋊Q8—1422no—
427C22⋊Q8—1422no—
428#121—714no—
429#121—714no—
430#121—1422no—
431#121—1422no—
432#120—1428no—
433C4×D4—1428no—
434C4×D4—1428no—
435#117—714no—
436#117—718no—
437#117—718no—
438#117—1428no—
439#117—1428no—
440#117—1424no—
441#117—1424no—
442#117—1422no—
443C2×C4⋊C4—22no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—712no—
446C2×C4⋊C4—714no—
447C2×C4⋊C4—711no—
448C2×C4⋊C4—711no—
449C2×C4⋊C4—1421no—
450C2×C4⋊C4—1421no—
451C2×C4⋊C4—1422no—
452C2×C4⋊C4—1421no—
453C2×C4⋊C4C22×D7112yes—
454C2×C4⋊C4C22×D7114yes—
455C2×C22⋊C4—1428no—
456C2×C22⋊C4—1422no—
457C2×C22⋊C4—1422no—
458C2×C22⋊C4—1421no—
459C2×C22⋊C4—1421no—
460C2×C22⋊C4—1421no—
461C2×C22⋊C4—1421no—
462C2×C22⋊C4—1421no—
463C2×C42—1428no—
464C2×C42—1422no—
465C2×C42—1422no—
466C2×C42—1421no—
467#107—718no—
468#107—718no—
469#106—718no—
470#106—718no—
471#103—718no—
472#103C22×D7118yescomplemented
473#102—718no—
474#102C22×D7118yescomplemented
475C22⋊C8—718no—
476C22⋊C8—718no—
477C24—21no—
478C24—2842no—
479C24—2842no—
480C24—714no—
481C24—711no—
482C24—711no—
483C24—1424no—
484C24D4×D7111yescharacteristic
485#41—28no—
486#41—28no—
487#41—48no—
488C2×Q8—21no—
489C2×Q8—22no—
490C2×Q8—22no—
491C2×Q8C23×D7112yes—
492C2×D4—24no—
493C2×D4—21no—
494C2×D4—22no—
495C2×D4—22no—
496C2×D4—44no—
497C2×D4—2844no—
498C2×D4—2844no—
499C2×D4—1424no—
500C2×D4—1424no—
501C2×D4C23×D7112yes—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—21no—
505C22×C4—24no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—2844no—
509C22×C4—714no—
510C22×C4—711no—
511C22×C4—711no—
512C22×C4—714no—
513C22×C4—714no—
514C22×C4—712no—
515C22×C4—712no—
516C22×C4—712no—
517C22×C4—712no—
518C22×C4—1424no—
519C22×C4—1422no—
520C22×C4—1421no—
521C22×C4—1421no—
522C22×C4—1424no—
523C22×C4—1422no—
524C22×C4—1422no—
525C22×C4—1428no—
526C22×C4—1422no—
527C22×C4—1422no—
528C22×C4—1428no—
529C22×C4—1424no—
530C22×C4—1424no—
531C22×C4—14216no—
532C22×C4D4×D7112yes—
533C22×C4D4×D7111yescharacteristic
534C22×C4#1176586414yes—
535C22×C4#1176586514yes—
536C22×C4C23×D7112yes—
537C22×C4C23×D7111yescharacteristic
538M16—28no—
539M16—1428no—
540C2×C8—24no—
541C2×C8—714no—
542C2×C8—1424no—
543C2×C8C23×D7114yes—
544C4⋊C4—24no—
545C4⋊C4—22no—
546C4⋊C4—714no—
547C4⋊C4—712no—
548C4⋊C4—712no—
549C4⋊C4—1424no—
550C4⋊C4—1424no—
551C4⋊C4—1424no—
552C4⋊C4—1422no—
553C4⋊C4—1421no—
554C4⋊C4—1421no—
555C4⋊C4C23×D7114yes—
556C22⋊C4—1428no—
557C22⋊C4—1428no—
558C22⋊C4—1424no—
559C22⋊C4—1424no—
560C22⋊C4—1424no—
561C22⋊C4—1424no—
562C22⋊C4—1424no—
563C42—1428no—
564C42—1428no—
565C42—1424no—
566C23—22no—
567C23—22no—
568C23—22no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—28416no—
573C23—2844no—
574C23—2844no—
575C23—712no—
576C23—712no—
577C23—1428no—
578C23—1422no—
579C23—1422no—
580C23—1422no—
581C23—1422no—
582C23—1422no—
583C23—1422no—
584C23#1455611014yes—
585C23C2×D4×D7112yes—
586C23C2×D4×D7111yescharacteristic
587Q8—22no—
588Q8—22no—
589Q8—42no—
590D4—22no—
591D4—22no—
592D4—48no—
593D4—42no—
594D4—2848no—
595D4—2848no—
596C2×C4—24no—
597C2×C4—22no—
598C2×C4—48no—
599C2×C4—42no—
600C2×C4—44no—
601C2×C4—48no—
602C2×C4—2848no—
603C2×C4—2842no—
604C2×C4—2844no—
605C2×C4—2842no—
606C2×C4—712no—
607C2×C4—712no—
608C2×C4—1424no—
609C2×C4—1422no—
610C2×C4—1422no—
611C2×C4—1428no—
612C2×C4—1422no—
613C2×C4—1422no—
614C2×C4—1422no—
615C2×C4—1422no—
616C2×C4—1422no—
617C2×C4—1422no—
618C2×C4—1428no—
619C2×C4—1428no—
620C2×C4—1424no—
621C2×C4—1424no—
622C2×C4#1455611014yes—
623C2×C4#1455611018yes—
624C2×C4C2×D4×D7112yes—
625C2×C4C2×D4×D7111yescharacteristic
626C2×C4C2×#1176586412yes—
627C2×C4C2×#1176586414yes—
628C2×C4C2×#1176586512yes—
629C2×C4C2×#1176586514yes—
630C2×C4C24×D7111yescharacteristic
631C8—24no—
632C8—1424no—
633C22—22no—
634C22—22no—
635C22—28no—
636C22—42no—
637C22—42no—
638C22—42no—
639C22—84no—
640C22—28416no—
641C22—2844no—
642C22—2844no—
643C22—1422no—
644C22—1422no—
645C22—1422no—
646C22—1422no—
647C22—1422no—
648C22—1422no—
649C22C2×#1455611014yes—
650C22C2×#1455611012yes—
651C22#1798679512yes—
652C22#1798679812yes—
653C22C22×D4×D7111yescharacteristic
654C4—44no—
655C4—42no—
656C4—2842no—
657C4—2844no—
658C4—2842no—
659C4—1422no—
660C4—1422no—
661C4C2×#1455611014yes—
662C4C2×#1455611012yes—
663C4C22×#1176586411yescharacteristic
664C4C22×#1176586511yescharacteristic
665C2—24no—
666C2—82no—
667C2—2842no—
668C2—2842no—
669C2#2259827014yesdirect product factor
670C2C22×#1455611011yescharacteristic
671C2C2×#1798679511yescharacteristic
672C2C2×#1798679811yescharacteristic
subgroupG/H
centerC23C2×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC2×#417×C71C2
socleC23×C71C22×D4
prime radicalC2×#17986506C2
hypercenterC2×#417D71
hypocenterC71C2×#3093
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#417

Complements

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

NH ≅ G/Ntype
2. C22×#14556086C2semidirect
3. #22598270C2direct (N × H)
4. C2×#17986339C2semidirect
5. C2×#17986338C2semidirect
6. C2×#17986322C2semidirect
7. C2×#17986321C2semidirect
8. C2×#17986041C2semidirect
9. C2×#17986039C2semidirect
10. C2×#17986000C2semidirect
11. C2×#17985962C2semidirect
12. C2×#417×C71C2semidirect
31. C2×#14556086C22semidirect
35. #17986339C22semidirect
36. #17986338C22semidirect
37. #17986322C22semidirect
38. #17986321C22semidirect
39. #17986041C22semidirect
40. #17986039C22semidirect
41. C2×#14556062C22semidirect
42. C2×#14556061C22semidirect
43. C2×#14556060C22semidirect
44. C2×#14556059C22semidirect
45. #17986000C22semidirect
46. C2×#14556052C22semidirect
47. C2×#14556049C22semidirect
48. #17985962C22semidirect
54. #417×C71C22semidirect
55. C2×#103×C71C22semidirect
56. C2×#102×C71C22semidirect
113. #14556062C23semidirect
114. #14556061C23semidirect
115. #14556060C23semidirect
116. #14556059C23semidirect
117. #14556052C23semidirect
118. #14556049C23semidirect
138. #103×C71C23semidirect
139. #102×C71C23semidirect
331. C2×C71#3093semidirect
347. C2×#417D71semidirect
349. C71C2×#3093semidirect
386. #417C2×D71semidirect
388. C2×#103C2×D71semidirect
390. C2×#102C2×D71semidirect
472. #103C22×D71semidirect
474. #102C22×D71semidirect
669. C2#22598270direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179865062
C22×#145560862
#225982702
C2×#179863392
C2×#179863382
C2×#179863222
C2×#179863212
C2×#179860412
C2×#179860392
C2×#179860002
C2×#179859622
C2×#417×C712
C2×#309371