Finite Group Databasebeta

← #25105607

Subgroups — #25105607

Order 11008.

1570 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C22⋊Q8×D43C211yesmaximal, characteristic
2C2×C22⋊C8×D43C211yesmaximal, characteristic
3C2×#14582756C211yesmaximal, characteristic
4#19135017C212yesmaximal, complemented
5#19135015C212yesmaximal, complemented
6#19134903C211yesmaximal, characteristic, complemented
7#19134902C211yesmaximal, characteristic, complemented
8#19134900C211yesmaximal, characteristic, complemented
9#19134684C212yesmaximal, complemented
10#19134528C212yesmaximal, complemented
11C43×#1872C211yesmaximal, characteristic, complemented
12C22×Q8×D43C2211yescharacteristic
13C23×C4×D43C2211yescharacteristic
14C22×C8×D43C2212yes—
15C2×#13063305C2211yescharacteristic
16C2×#13063304C2211yescharacteristic
17C2×#13063303—21no—
18C2×#13063302—21no—
19C2×#13063301C2211yescharacteristic
20C22⋊Q8×D43—24no—
21C22⋊Q8×D43C418yescomplemented
22C22×C4⋊Dic43C2211yescharacteristic
23C2×C4⋊C4×D43—21no—
24C2×C4⋊C4×D43C2211yescharacteristic
25C22×(C2×D43)⋊C4—21no—
26C2×C22⋊C4×D43—21no—
27C2×#13063250C2212yescomplemented
28C2×#13063249C2212yescomplemented
29C2×#13063248C2212yescomplemented
30C2×C22⋊(C43⋊C8)C2211yescharacteristic
31C2×(C2×D43)⋊C8C2212yes—
32C22⋊C8×D43—24no—
33#14582756—21no—
34#14582756—21no—
35#14582756C2212yes—
36#14582756C2212yes—
37C2×C43⋊#95—21no—
38#14582662C2212yescomplemented
39#14582661C2212yescomplemented
40#14582661C2212yescomplemented
41C2×C22⋊Q8×C43C2211yescharacteristic
42C22×C4⋊C4×C43C2211yescharacteristic
43C2×#103×C43C2212yescomplemented
44C2×C22⋊C8×C43C2211yescharacteristic
45C43×#340C2212yescomplemented
46C24×D43D411yescharacteristic
47C22×Dic86—21no—
48C22×Dic86C2311yescharacteristic
49C2×Q8×D43—22no—
50C2×Q8×D43—42no—
51C2×Q8×D43—42no—
52C2×Q8×D43C2×C414yescomplemented
53C23×Dic43—21no—
54C23×Dic43D411yescharacteristic
55C22×C4×D43—21no—
56C22×C4×D43—21no—
57C22×C4×D43—42no—
58C22×C4×D43—42no—
59C22×C4×D43C2×C414yes—
60C22×C4×D43D411yescharacteristic
61C22×C4×D43D411yescharacteristic
62C22×C4×D43D414yes—
63C22×C4×D43C2311yescharacteristic
64C22×C4×D43C2311yescharacteristic
65C22×C43⋊C8C2312yes—
66C2×C8×D43—24no—
67C2×C8×D43—42no—
68C2×C8×D43—42no—
69#13063305—22no—
70#13063305C2×C414yescomplemented
71#13063304—22no—
72#13063304C2×C414yes—
73#13063303—28no—
74#13063302—28no—
75#13063301—22no—
76#13063301C2×C414yescomplemented
77C2×C4⋊Dic43—21no—
78C2×C4⋊Dic43—21no—
79C2×C4⋊Dic43—42no—
80C2×C4⋊Dic43C2312yes—
81C2×C4⋊Dic43C2311yescharacteristic
82C2×Dic43⋊C4—21no—
83C2×Dic43⋊C4—21no—
84C2×Dic43⋊C4—21no—
85C4⋊C4×D43—28no—
86C4⋊C4×D43—22no—
87C4⋊C4×D43C2×C414yescomplemented
88C2×C22⋊Dic43—21no—
89C2×(C2×D43)⋊C4—21no—
90C2×(C2×D43)⋊C4—21no—
91C2×(C2×D43)⋊C4—22no—
92C2×(C2×D43)⋊C4—22no—
93C2×(C2×D43)⋊C4—44no—
94C22⋊C4×D43—28no—
95#13063250—42no—
96#13063249—42no—
97#13063248—42no—
98C22⋊(C43⋊C8)—22no—
99(C2×D43)⋊C8—24no—
100C43⋊#95—22no—
101C43⋊#95—22no—
102C22×Q8×C43C2311yescharacteristic
103C23×C4×C43—21no—
104C23×C4×C43C2311yescharacteristic
105C22×C8×C43C2312yes—
106C22⋊Q8×C43—22no—
107C22⋊Q8×C43C2×C414yes—
108C2×C4⋊C4×C43—21no—
109C2×C4⋊C4×C43—21no—
110C2×C4⋊C4×C43—42no—
111C2×C4⋊C4×C43C2312yes—
112C2×C4⋊C4×C43C2311yescharacteristic
113C2×C22⋊C4×C43—21no—
114#103×C43—42no—
115C22⋊C8×C43—22no—
116C24×C43C2×D411yescharacteristic
117C23×D43—41no—
118C23×D43—41no—
119C23×D43—41no—
120C23×D43—41no—
121C23×D43C22⋊C414yes—
122C23×D43SD1614yes—
123C23×D43Q1614yes—
124C23×D43C2×D411yescharacteristic
125C23×D43C2×D411yescharacteristic
126C2×Q8×C43—21no—
127C2×Q8×C43—22no—
128C2×Q8×C43—22no—
129C2×Q8×C43C22×C412yes—
130C22×C4×C43—22no—
131C22×C4×C43—22no—
132C22×C4×C43—21no—
133C22×C4×C43—21no—
134C22×C4×C43—22no—
135C22×C4×C43—42no—
136C22×C4×C43—42no—
137C22×C4×C43—42no—
138C22×C4×C43C22×C412yes—
139C22×C4×C43C2×D412yes—
140C22×C4×C43C2×D411yescharacteristic
141C22×C4×C43C2411yescharacteristic
142C22×Dic43—21no—
143C22×Dic43—21no—
144C22×Dic43—22no—
145C22×Dic43—41no—
146C22×Dic43—41no—
147C22×Dic43—42no—
148C22×Dic43—42no—
149C22×Dic43—42no—
150C22×Dic43C22⋊C414yes—
151C22×Dic43C2×D411yescharacteristic
152C22×Dic43C2×D411yescharacteristic
153Q8×D43—48no—
154Q8×D43—48no—
155C2×C4×D43—22no—
156C2×C4×D43—22no—
157C2×C4×D43—22no—
158C2×C4×D43—22no—
159C2×C4×D43—24no—
160C2×C4×D43—24no—
161C2×C4×D43—41no—
162C2×C4×D43—41no—
163C2×C4×D43—41no—
164C2×C4×D43—41no—
165C2×C4×D43—42no—
166C2×C4×D43—42no—
167C2×C4×D43—42no—
168C2×C4×D43—42no—
169C2×C4×D43—48no—
170C2×C4×D43—48no—
171C2×C4×D43C22⋊C414yes—
172C2×C4×D43C22⋊C414yes—
173C2×C4×D43C22×C412yes—
174C2×C4×D43C22×C412yes—
175C2×C4×D43C2×D412yes—
176C2×C4×D43C2×D412yes—
177C2×Dic86—22no—
178C2×Dic86—22no—
179C2×Dic86—21no—
180C2×Dic86—24no—
181C2×Dic86—42no—
182C2×Dic86—42no—
183C2×Dic86C22×C412yes—
184C2×C8×C43—22no—
185C2×C8×C43—22no—
186C2×C8×C43—22no—
187C4⋊C4×C43—24no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—22no—
190C4⋊C4×C43—22no—
191C4⋊C4×C43—42no—
192C4⋊C4×C43C22×C412yes—
193C22⋊C4×C43—24no—
194C22⋊Dic43—24no—
195(C2×D43)⋊C4—24no—
196(C2×D43)⋊C4—24no—
197(C2×D43)⋊C4—44no—
198(C2×D43)⋊C4—44no—
199C4⋊Dic43—21no—
200C4⋊Dic43—24no—
201C4⋊Dic43—22no—
202C4⋊Dic43—22no—
203C4⋊Dic43—42no—
204C4⋊Dic43C22×C412yes—
205Dic43⋊C4—24no—
206Dic43⋊C4—24no—
207Dic43⋊C4—24no—
208C2×C43⋊C8—22no—
209C2×C43⋊C8—22no—
210C2×C43⋊C8—22no—
211C8×D43—48no—
212C23×C43—21no—
213C23×C43—21no—
214C23×C43—21no—
215C23×C43—21no—
216C23×C43C2×C22⋊C412yes—
217C23×C43C2×SD1612yes—
218C23×C43C2×Q1612yes—
219C23×C43C22×D411yescharacteristic
220C22×D43—21no—
221C22×D43—21no—
222C22×D43—21no—
223C22×D43—21no—
224C22×D43—21no—
225C22×D43—21no—
226C22×D43—21no—
227C22×D43—21no—
228C22×D43—44no—
229C22×D43—44no—
230C22×D43—44no—
231C22×D43—44no—
232C22×D43—44no—
233C22×D43—44no—
234C22×D43#103116yescomplemented
235C22×D43C2×C22⋊C412yes—
236C22×D43C2×C22⋊C412yes—
237C22×D43C2×SD1612yes—
238C22×D43C2×SD1612yes—
239C22×D43C2×Q1612yes—
240C22×D43C2×Q1612yes—
241Q8×C43—24no—
242Q8×C43—42no—
243C2×C4×C43—21no—
244C2×C4×C43—21no—
245C2×C4×C43—24no—
246C2×C4×C43—24no—
247C2×C4×C43—22no—
248C2×C4×C43—22no—
249C2×C4×C43—41no—
250C2×C4×C43—41no—
251C2×C4×C43—41no—
252C2×C4×C43—41no—
253C2×C4×C43—42no—
254C2×C4×C43—42no—
255C2×C4×C43—42no—
256C2×C4×C43—84no—
257C2×C4×C43C2×C22⋊C412yes—
258C2×C4×C43C23×C411yescharacteristic
259C2×C4×C43C22×D411yescharacteristic
260C2×C4×C43H(5,𝔽2)12yes—
261C2×C4×C43H(5,𝔽2)12yes—
262C2×Dic43—21no—
263C2×Dic43—21no—
264C2×Dic43—21no—
265C2×Dic43—21no—
266C2×Dic43—22no—
267C2×Dic43—22no—
268C2×Dic43—44no—
269C2×Dic43—41no—
270C2×Dic43—41no—
271C2×Dic43—41no—
272C2×Dic43—41no—
273C2×Dic43—42no—
274C2×Dic43—42no—
275C2×Dic43—42no—
276C2×Dic43—84no—
277C2×Dic43C2×C22⋊C412yes—
278C2×Dic43C2×C22⋊C412yes—
279C4×D43—24no—
280C4×D43—24no—
281C4×D43—24no—
282C4×D43—24no—
283C4×D43—44no—
284C4×D43—44no—
285C4×D43—48no—
286C4×D43—48no—
287Dic86—24no—
288Dic86—48no—
289Dic86—42no—
290C8×C43—42no—
291C43⋊C8—42no—
292#21759—431nomaximal, Sylow
293C22×C43—22no—
294C22×C43—22no—
295C22×C43—22no—
296C22×C43—22no—
297C22×C43—22no—
298C22×C43—22no—
299C22×C43C2×#10314yes—
300C22×C43C22×C22⋊C411yescharacteristic
301C22×C43#53411yescharacteristic
302C22×C43#53411yescharacteristic
303C22×C43C22×SD1611yescharacteristic
304C22×C43C22×Q1611yescharacteristic
305C22×C43#57511yescharacteristic
306C22×C43#57511yescharacteristic
307C2×D43—22no—
308C2×D43—22no—
309C2×D43—22no—
310C2×D43—22no—
311C2×D43—22no—
312C2×D43—22no—
313C2×D43—22no—
314C2×D43—22no—
315C2×D43—22no—
316C2×D43—22no—
317C2×D43—22no—
318C2×D43—22no—
319C2×D43—416no—
320C2×D43C2×#10314yes—
321C2×D43C2×#10314yes—
322C4×C43—22no—
323C4×C43—42no—
324C4×C43—42no—
325C4×C43—82no—
326C4×C43#51812yes—
327C4×C43#53412yes—
328Dic43—22no—
329Dic43—22no—
330Dic43—42no—
331Dic43—42no—
332Dic43—82no—
333C22×C22⋊Q8—431no—
334C22×C22⋊C8—431no—
335C2×#380—431no—
336#1892—432no—
337#1892—432no—
338#1872—431no—
339#1872—431no—
340#1872—431no—
341#1872D4311yescharacteristic, complemented
342#1824—432no—
343#1787—432no—
344C2×C43—24no—
345C2×C43#230811yescharacteristic
346C2×C43C22×#10311yescharacteristic
347C2×C43#289611yescharacteristic
348C2×C43#318711yescharacteristic
349C2×C43#318711yescharacteristic
350C2×C43#318911yescharacteristic
351C2×C43#318911yescharacteristic
352D43—24no—
353D43—24no—
354C23×Q8—431no—
355C24×C4—431no—
356C23×C8—432no—
357C2×C22⋊Q8—431no—
358C2×C22⋊Q8—431no—
359C2×C22⋊Q8—438no—
360C2×C22⋊Q8—431no—
361C2×C22⋊Q8—861no—
362C2×C22⋊Q8—861no—
363C2×C22⋊Q8—864no—
364C2×C22⋊Q8C2×D4311yescharacteristic
365C22×C4⋊C4—431no—
366C22×C4⋊C4—431no—
367C22×C4⋊C4—861no—
368C22×C4⋊C4C2×D4311yescharacteristic
369C22×C22⋊C4—861no—
370C22×C22⋊C4—861no—
371C2×#103—432no—
372C2×#103—432no—
373C2×#103—432no—
374C2×#103C2×D4312yescomplemented
375C2×C22⋊C8—431no—
376C2×C22⋊C8—432no—
377C2×C22⋊C8—864no—
378C2×C22⋊C8C2×D4311yescharacteristic
379#380—432no—
380#380—432no—
381#380—861no—
382#380—861no—
383C2×#95—861no—
384#340—432no—
385#340—432no—
386#340—432no—
387#340C2×D4312yescomplemented
388C43#2175911yescharacteristic, complemented, Sylow
389C25—431no—
390C22×Q8—434no—
391C22×Q8—431no—
392C22×Q8—861no—
393C22×Q8—862no—
394C22×Q8—1722no—
395C22×Q8—1722no—
396C22×Q8C22×D4311yescharacteristic
397C23×C4—21no—
398C23×C4—431no—
399C23×C4—431no—
400C23×C4—431no—
401C23×C4—434no—
402C23×C4—431no—
403C23×C4—431no—
404C23×C4—434no—
405C23×C4—861no—
406C23×C4—861no—
407C23×C4—861no—
408C23×C4—1722no—
409C23×C4—1722no—
410C23×C4C22×D4311yescharacteristic
411C22×C8—432no—
412C22×C8—864no—
413C22×C8—1722no—
414C22×C8—1722no—
415C22×C8C22×D4312yes—
416C22⋊Q8—22no—
417C22⋊Q8—434no—
418C22⋊Q8—434no—
419C22⋊Q8—434no—
420C22⋊Q8—868no—
421C22⋊Q8—868no—
422C22⋊Q8—862no—
423C22⋊Q8—862no—
424C22⋊Q8—862no—
425C22⋊Q8C4×D4314yes—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—42no—
429C2×C4⋊C4—431no—
430C2×C4⋊C4—434no—
431C2×C4⋊C4—432no—
432C2×C4⋊C4—862no—
433C2×C4⋊C4—868no—
434C2×C4⋊C4—861no—
435C2×C4⋊C4—861no—
436C2×C4⋊C4—861no—
437C2×C4⋊C4—861no—
438C2×C4⋊C4—861no—
439C2×C4⋊C4—1722no—
440C2×C4⋊C4C22×D4312yes—
441C2×C4⋊C4C22×D4311yescharacteristic
442C2×C22⋊C4—21no—
443C2×C22⋊C4—868no—
444C2×C22⋊C4—861no—
445C2×C22⋊C4—861no—
446C2×C22⋊C4—861no—
447C2×C22⋊C4—862no—
448C2×C22⋊C4—862no—
449C2×C22⋊C4—1724no—
450#103—42no—
451#103—1722no—
452#103—1722no—
453#103—1722no—
454C22⋊C8—22no—
455C22⋊C8—864no—
456C22⋊C8—862no—
457#95—862no—
458#95—862no—
459C24—431no—
460C24—431no—
461C24—434no—
462C24—434no—
463C24—434no—
464C24—1721no—
465C24—1721no—
466C24—1721no—
467C24—1721no—
468C24D4×D4311yescharacteristic
469C2×Q8—21no—
470C2×Q8—22no—
471C2×Q8—22no—
472C2×Q8—432no—
473C2×Q8—864no—
474C2×Q8—861no—
475C2×Q8—862no—
476C2×Q8—862no—
477C2×Q8—1722no—
478C2×Q8—1722no—
479C2×Q8—1728no—
480C2×Q8—1728no—
481C2×Q8C2×C4×D4312yes—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—431no—
491C22×C4—431no—
492C22×C4—434no—
493C22×C4—432no—
494C22×C4—432no—
495C22×C4—432no—
496C22×C4—432no—
497C22×C4—434no—
498C22×C4—434no—
499C22×C4—864no—
500C22×C4—864no—
501C22×C4—862no—
502C22×C4—862no—
503C22×C4—862no—
504C22×C4—862no—
505C22×C4—861no—
506C22×C4—861no—
507C22×C4—862no—
508C22×C4—1728no—
509C22×C4—1728no—
510C22×C4—1721no—
511C22×C4—1721no—
512C22×C4—1721no—
513C22×C4—1721no—
514C22×C4—1722no—
515C22×C4—1722no—
516C22×C4—1722no—
517C22×C4—1722no—
518C22×C4—1721no—
519C22×C4—1721no—
520C22×C4—1722no—
521C22×C4—1722no—
522C22×C4—1722no—
523C22×C4C2×C4×D4312yes—
524C22×C4D4×D4311yescharacteristic
525C22×C4D4×D4312yes—
526C22×C4C23×D4311yescharacteristic
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—862no—
531C2×C8—862no—
532C2×C8—862no—
533C2×C8—1728no—
534C4⋊C4—24no—
535C4⋊C4—21no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—42no—
539C4⋊C4—432no—
540C4⋊C4—864no—
541C4⋊C4—864no—
542C4⋊C4—864no—
543C4⋊C4—864no—
544C4⋊C4—861no—
545C4⋊C4—862no—
546C4⋊C4—862no—
547C4⋊C4—1722no—
548C4⋊C4C2×C4×D4312yes—
549C22⋊C4—24no—
550C22⋊C4—864no—
551C22⋊C4—864no—
552C22⋊C4—864no—
553C22⋊C4—1724no—
554C22⋊C4—1724no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—432no—
560C23—432no—
561C23—432no—
562C23—432no—
563C23—432no—
564C23—432no—
565C23—4316no—
566C23—861no—
567C23—861no—
568C23—861no—
569C23—861no—
570C23—861no—
571C23—861no—
572C23—861no—
573C23—861no—
574C23—1724no—
575C23—1724no—
576C23—1724no—
577C23—1724no—
578C23—1724no—
579C23—1724no—
580C23C22⋊C4×D4312yes—
581C23SD16×D4312yes—
582C23Q16×D4312yes—
583C23C2×D4×D4311yescharacteristic
584Q8—24no—
585Q8—42no—
586Q8—864no—
587Q8—1728no—
588Q8—1722no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—84no—
603C2×C4—432no—
604C2×C4—432no—
605C2×C4—861no—
606C2×C4—861no—
607C2×C4—861no—
608C2×C4—861no—
609C2×C4—864no—
610C2×C4—864no—
611C2×C4—864no—
612C2×C4—864no—
613C2×C4—862no—
614C2×C4—862no—
615C2×C4—3444no—
616C2×C4—1724no—
617C2×C4—1724no—
618C2×C4—1728no—
619C2×C4—1728no—
620C2×C4—1724no—
621C2×C4—1722no—
622C2×C4—1722no—
623C2×C4—1722no—
624C2×C4—1721no—
625C2×C4—1721no—
626C2×C4—1721no—
627C2×C4—1721no—
628C2×C4C22⋊C4×D4312yes—
629C2×C4C22×C4×D4311yescharacteristic
630C2×C4C2×D4×D4311yescharacteristic
631C2×C4#1306337012yes—
632C2×C4#1306337112yes—
633C8—42no—
634C8—1722no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—22no—
641C22—434no—
642C22—434no—
643C22—862no—
644C22—862no—
645C22—862no—
646C22—862no—
647C22—862no—
648C22—862no—
649C22—862no—
650C22—862no—
651C22—862no—
652C22—862no—
653C22—862no—
654C22—862no—
655C22—17216no—
656C22#103×D4314yes—
657C22C2×C22⋊C4×D4311yescharacteristic
658C22#1458345911yescharacteristic
659C22#1458346011yescharacteristic
660C22C2×SD16×D4311yescharacteristic
661C22C2×Q16×D4311yescharacteristic
662C22#1458369511yescharacteristic
663C22#1458369811yescharacteristic
664C4—22no—
665C4—42no—
666C4—42no—
667C4—82no—
668C4—862no—
669C4—862no—
670C4—3442no—
671C4—1722no—
672C4—1722no—
673C4#1458337112yes—
674C4#1458345712yes—
675C2—24no—
676C2—864no—
677C2—864no—
678C2#1913716911yescharacteristic
679C2C2×#103×D4311yescharacteristic
680C2#1914311111yescharacteristic
681C2#1914534911yescharacteristic
682C2#1914535111yescharacteristic
683C2#1914536811yescharacteristic
684C2#1914536911yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1872C2
socleC23×C43C22×D4
prime radicalC24×D43D4
cosocleC22×C4×C43C24
hypercenter#1872D43
hypocenterC43#21759
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1872

Complements

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

NH ≅ G/Ntype
4. #19135017C2semidirect
5. #19135015C2semidirect
6. #19134903C2semidirect
7. #19134902C2semidirect
8. #19134900C2semidirect
9. #19134684C2semidirect
10. #19134528C2semidirect
11. C43×#1872C2semidirect
21. C22⋊Q8×D43C4semidirect
27. C2×#13063250C22semidirect
28. C2×#13063249C22semidirect
29. C2×#13063248C22semidirect
38. #14582662C22semidirect
39. #14582661C22semidirect
40. #14582661C22semidirect
43. C2×#103×C43C22semidirect
45. C43×#340C22semidirect
52. C2×Q8×D43C2×C4semidirect
70. #13063305C2×C4semidirect
76. #13063301C2×C4semidirect
87. C4⋊C4×D43C2×C4semidirect
234. C22×D43#103semidirect
341. #1872D43semidirect
374. C2×#103C2×D43semidirect
387. #340C2×D43semidirect
388. C43#21759semidirect

Maximal subgroups

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

subgroupindex
C2×C22⋊Q8×D432
C2×C22⋊C8×D432
C2×#145827562
#191350172
#191350152
#191349032
#191349022
#191349002
#191346842
#191345282
C43×#18722
#2175943