Finite Group Databasebeta

← #25140196

Subgroups — #25140196

Order 11008.

972 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583229C211yesmaximal, characteristic, complemented
2C2×#14582907C211yesmaximal, characteristic, complemented
3#19137960C211yesmaximal, characteristic
4#19136146C211yesmaximal, characteristic, complemented
5#19136014C211yesmaximal, characteristic, complemented
6#19135798C211yesmaximal, characteristic, complemented
7#19135798C211yesmaximal, characteristic, complemented
8#19135236C211yesmaximal, characteristic, complemented
9#19135229C211yesmaximal, characteristic, complemented
10#19134902C211yesmaximal, characteristic, complemented
11#19134893C211yesmaximal, characteristic
12#19134794C211yesmaximal, characteristic, complemented
13#19134626C211yesmaximal, characteristic, complemented
14#19134529C211yesmaximal, characteristic, complemented
15C43×#2352C211yesmaximal, characteristic
16C23×Dic86C2211yescharacteristic
17C22×#10621877C2211yescharacteristic
18C2×#13063304C2211yescharacteristic
19C2×#13063304C2211yescharacteristic
20#14583229—24no—
21C2×#13063258C2211yescharacteristic
22C2×#13063258C2211yescharacteristic
23C2×#13063256C2211yescharacteristic
24C2×#13063256C2211yescharacteristic
25#14582907—24no—
26C2×#13063248C2211yescharacteristic
27C2×#13063248C2211yescharacteristic
28C2×#13063248C2211yescharacteristic
29C2×#13063248C2211yescharacteristic
30C2×#13063248C2211yescharacteristic
31C2×#13063248C2211yescharacteristic
32C2×#13063248C2211yescharacteristic
33C2×#13063248C2211yescharacteristic
34C2×C22⋊(C43⋊C8)C2211yescharacteristic
35C2×C22⋊(C43⋊C8)C2211yescharacteristic
36C2×C22⋊(C43⋊C8)C2211yescharacteristic
37#14582819—21no—
38#14582811—21no—
39#14582805C2211yescharacteristic
40#14582805C2211yescharacteristic
41#14582779—21no—
42#14582771—21no—
43#14582759C2211yescharacteristic
44#14582661C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582654C2211yescharacteristic
49#14582654C2211yescharacteristic
50C2×C4×D4×C43C2211yescharacteristic
51C2×#117×C43C2211yescharacteristic
52C22×C4⋊C4×C43C2211yescharacteristic
53C43×#388—21no—
54C43×#387—21no—
55C43×#386—21no—
56C43×#382C2211yescharacteristic
57C43×#380C2211yescharacteristic
58C43×#380C2211yescharacteristic
59C4×C4⋊C4×C43C2211yescharacteristic
60C4×C22⋊C4×C43—21no—
61C22×Dic86—22no—
62C22×Dic86—22no—
63C22×Dic86—22no—
64C22×Dic86—22no—
65C22×Dic86—21no—
66C22×Dic86—41no—
67C22×Dic86—41no—
68C22×Dic86C2311yescharacteristic
69C22×Dic86C2311yescharacteristic
70C23×Dic43—21no—
71C2×#10621877—22no—
72C2×#10621877—22no—
73C2×#10621877—41no—
74C22×C43⋊C8C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76C22×C43⋊C8C2311yescharacteristic
77C22×C43⋊C8C2311yescharacteristic
78#13063304—22no—
79#13063304—22no—
80#13063304—41no—
81#13063304—41no—
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×Dic43⋊C4—21no—
85C2×Dic43⋊C4—21no—
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89#13063258—41no—
90#13063258—41no—
91#13063256—22no—
92#13063256—22no—
93#13063248—22no—
94#13063248—22no—
95#13063248—22no—
96#13063248—22no—
97#13063248—22no—
98#13063248—41no—
99#13063248—41no—
100#13063248D414yescomplemented
101C22⋊(C43⋊C8)—22no—
102C22⋊(C43⋊C8)—22no—
103C22⋊(C43⋊C8)—41no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C22×D4×C43D411yescharacteristic
110C23×C4×C43—21no—
111C23×C4×C43C2311yescharacteristic
112C23×C4×C43C2311yescharacteristic
113C4×D4×C43—22no—
114C4×D4×C43—22no—
115#117×C43—22no—
116#117×C43—41no—
117C2×C4⋊C4×C43—22no—
118C2×C4⋊C4×C43—21no—
119C2×C4⋊C4×C43—41no—
120C2×C4⋊C4×C43D411yescharacteristic
121C2×C4⋊C4×C43C2311yescharacteristic
122C2×C4⋊C4×C43C2311yescharacteristic
123C2×C4⋊C4×C43C2311yescharacteristic
124C2×C4⋊C4×C43C2311yescharacteristic
125C2×C22⋊C4×C43—21no—
126C2×C22⋊C4×C43—21no—
127C2×C22⋊C4×C43—21no—
128C2×C22⋊C4×C43D411yescharacteristic
129C2×C22⋊C4×C43D411yescharacteristic
130C2×C42×C43—21no—
131C2×C42×C43—21no—
132C2×C42×C43C2311yescharacteristic
133#95×C43—21no—
134#95×C43—21no—
135#95×C43—21no—
136#95×C43—21no—
137#95×C43—21no—
138C24×C43C2×D411yescharacteristic
139C24×C43C2×D411yescharacteristic
140C2×D4×C43—22no—
141C2×D4×C43—22no—
142C2×D4×C43—41no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—42no—
158C22×C4×C43—42no—
159C22×C4×C43—81no—
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2×D411yescharacteristic
164C22×C4×C43#4112yes—
165C22×C4×C43#4112yes—
166C22×C4×C43C2411yescharacteristic
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—42no—
172C22×Dic43—42no—
173C22×Dic43—42no—
174C2×Dic86—28no—
175C2×Dic86—21no—
176C2×Dic86—21no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—44no—
186C2×Dic86—44no—
187C2×Dic86—42no—
188C2×Dic86—42no—
189C2×Dic86—44no—
190C2×Dic86—42no—
191C2×Dic86C2×D412yes—
192C2×Dic86#4112yes—
193C4⋊C4×C43—22no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—42no—
202C4⋊C4×C43C2×D412yes—
203C22⋊C4×C43—22no—
204C22⋊C4×C43—22no—
205C22⋊C4×C43—42no—
206C22⋊C4×C43—42no—
207C22⋊C4×C43—81no—
208C42×C43—21no—
209C42×C43—21no—
210C42×C43—42no—
211C42×C43—81no—
212C22⋊Dic43—42no—
213C22⋊Dic43—42no—
214C22⋊Dic43—42no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219Dic43⋊C4—42no—
220Dic43⋊C4—42no—
221#10621877—44no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8C2×D412yes—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—21no—
243C23×C43—21no—
244C23×C43—21no—
245C23×C43—21no—
246C23×C43#12312yes—
247C23×C43#13712yes—
248C23×C43C22×D411yescharacteristic
249D4×C43—44no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—22no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—41no—
281C2×C4×C43—84no—
282C2×C4×C43#12312yes—
283C2×C4×C43C22×D411yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43C2×#4111yescharacteristic
286C2×C4×C43C2×#4111yescharacteristic
287C2×C4×C43H(5,𝔽2)11yescharacteristic
288C2×C4×C43H(5,𝔽2)11yescharacteristic
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—48no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302Dic86—22no—
303Dic86—22no—
304Dic86—22no—
305Dic86—22no—
306Dic86—48no—
307Dic86—41no—
308Dic86—41no—
309Dic86—41no—
310Dic86—41no—
311C43⋊C8—22no—
312C43⋊C8—41no—
313C43⋊C8—41no—
314C43⋊C8—41no—
315#24884—431nomaximal, Sylow
316C22×C43—22no—
317C22×C43—22no—
318C22×C43—22no—
319C22×C43—22no—
320C22×C43—22no—
321C22×C43—22no—
322C22×C43—41no—
323C22×C43—41no—
324C22×C43—41no—
325C22×C43—41no—
326C22×C43—41no—
327C22×C43—41no—
328C22×C43—41no—
329C22×C43—41no—
330C22×C43C2×#12311yescharacteristic
331C22×C43D4211yescharacteristic
332C22×C43#54611yescharacteristic
333C22×C43C2×#13711yescharacteristic
334C22×C43#57511yescharacteristic
335C22×C43#57711yescharacteristic
336C22×C43#57811yescharacteristic
337C4×C43—22no—
338C4×C43—41no—
339C4×C43—41no—
340C4×C43—41no—
341C4×C43—42no—
342C4×C43—81no—
343C4×C43—81no—
344C4×C43—81no—
345C4×C43#52511yescharacteristic
346C4×C43#53811yescharacteristic
347C4×C43#54611yescharacteristic
348C4×C43#55111yescharacteristic
349Dic43—42no—
350Dic43—42no—
351Dic43—81no—
352Dic43—81no—
353C2×#483—431no—
354C2×#419—431no—
355#2409—431no—
356#2352D4311yescharacteristic
357#2097—431no—
358#2074—431no—
359#2036—431no—
360#2036—431no—
361#1928—431no—
362#1927—431no—
363#1872—431no—
364#1870—431no—
365#1854—431no—
366#1809—431no—
367#1787—431no—
368C2×C43—42no—
369C2×C43—42no—
370C2×C43#241811yescharacteristic
371C2×C43#309511yescharacteristic
372C2×C43#309711yescharacteristic
373C2×C43#326611yescharacteristic
374C2×C43#327711yescharacteristic
375C2×C43#331211yescharacteristic
376C2×C43#332611yescharacteristic
377C23×Q8—431no—
378C22×M16—431no—
379C2×C22⋊Q8—431no—
380C2×C22⋊Q8—431no—
381C2×C4×D4C2×D4311yescharacteristic
382C2×#117C2×D4311yescharacteristic
383C22×C4⋊C4C2×D4311yescharacteristic
384#483—864no—
385C2×#107—431no—
386C2×#107—431no—
387C2×#106—431no—
388C2×#106—431no—
389#419—864no—
390C2×#103—431no—
391C2×#103—431no—
392C2×#103—431no—
393C2×#103—431no—
394C2×#103—431no—
395C2×#103—431no—
396C2×#103—431no—
397C2×#103—431no—
398C2×C22⋊C8—431no—
399C2×C22⋊C8—431no—
400C2×C22⋊C8—431no—
401#395—861no—
402#393—861no—
403#391—431no—
404#391—431no—
405#388—21no—
406#387—21no—
407#386—21no—
408#386—861no—
409#385—861no—
410#382C2×D4311yescharacteristic
411#380—431no—
412#380C2×D4311yescharacteristic
413#380C2×D4311yescharacteristic
414C4×C4⋊C4C2×D4311yescharacteristic
415C4×C22⋊C4—21no—
416#340—431no—
417#340—431no—
418#340—431no—
419#340—431no—
420#336—431no—
421#336—431no—
422C43#2488411yescharacteristic, complemented, Sylow
423C22×Q8—431no—
424C22×Q8—431no—
425C22×Q8—862no—
426C22×Q8—862no—
427C22×Q8—861no—
428C22×Q8—862no—
429C22×Q8—862no—
430C22×Q8—1721no—
431C22×Q8—1721no—
432C22×D4C22⋊D4311yescharacteristic
433C23×C4—21no—
434C23×C4—861no—
435C23×C4C22×D4311yescharacteristic
436C23×C4C22×D4311yescharacteristic
437C2×M16—862no—
438C2×M16—862no—
439C2×M16—1721no—
440C22×C8—431no—
441C22×C8—431no—
442C22×C8—431no—
443C22×C8—431no—
444C22⋊Q8—862no—
445C22⋊Q8—862no—
446C22⋊Q8—1721no—
447C22⋊Q8—1721no—
448C4×D4—22no—
449C4×D4—22no—
450#117—22no—
451#117—41no—
452C2×C4⋊C4—22no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—41no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4C22⋊D4311yescharacteristic
460C2×C4⋊C4C22×D4311yescharacteristic
461C2×C4⋊C4C22×D4311yescharacteristic
462C2×C4⋊C4C22×D4311yescharacteristic
463C2×C4⋊C4C22×D4311yescharacteristic
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—861no—
468C2×C22⋊C4—861no—
469C2×C22⋊C4—861no—
470C2×C22⋊C4C22⋊D4311yescharacteristic
471C2×C22⋊C4C22⋊D4311yescharacteristic
472C2×C42—21no—
473C2×C42—21no—
474C2×C42C22×D4311yescharacteristic
475#107—1721no—
476#107—1721no—
477#106—862no—
478#106—862no—
479#103—434no—
480#103—862no—
481#103—862no—
482#103—862no—
483#103—862no—
484#103—862no—
485#103—1721no—
486#103—1721no—
487C22⋊C8—862no—
488C22⋊C8—862no—
489C22⋊C8—1721no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—861no—
496#95—861no—
497#95—861no—
498#95—861no—
499#95—861no—
500C24C2×C22⋊D4311yescharacteristic
501C24C2×C22⋊D4311yescharacteristic
502C2×Q8—432no—
503C2×Q8—432no—
504C2×Q8—868no—
505C2×Q8—861no—
506C2×Q8—861no—
507C2×Q8—861no—
508C2×Q8—861no—
509C2×Q8—861no—
510C2×Q8—861no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—861no—
514C2×Q8—861no—
515C2×Q8—1722no—
516C2×Q8—1722no—
517C2×Q8—1724no—
518C2×Q8—1724no—
519C2×Q8—1724no—
520C2×Q8—1722no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—41no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—81no—
541C22×C4—861no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—861no—
545C22×C4—1722no—
546C22×C4—1722no—
547C22×C4—1722no—
548C22×C4#1062189812yes—
549C22×C4#1062189812yes—
550C22×C4C2×C22⋊D4311yescharacteristic
551C22×C4C2×C22⋊D4311yescharacteristic
552C22×C4C2×C22⋊D4311yescharacteristic
553C22×C4C2×C22⋊D4311yescharacteristic
554C22×C4C23×D4311yescharacteristic
555M16—1724no—
556C2×C8—432no—
557C2×C8—861no—
558C2×C8—861no—
559C2×C8—861no—
560C2×C8—861no—
561C2×C8—861no—
562C2×C8—861no—
563C2×C8—861no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C4⋊C4—22no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—42no—
577C4⋊C4—861no—
578C4⋊C4—861no—
579C4⋊C4—861no—
580C4⋊C4—861no—
581C4⋊C4—1722no—
582C4⋊C4—1722no—
583C4⋊C4D4×D4312yes—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4—81no—
589C22⋊C4—1722no—
590C22⋊C4—1722no—
591C22⋊C4—1722no—
592C42—21no—
593C42—21no—
594C42—42no—
595C42—81no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23#1306330812yes—
609C23#1306335512yes—
610C23C22×C22⋊D4311yescharacteristic
611Q8—862no—
612Q8—862no—
613Q8—862no—
614Q8—862no—
615Q8—1728no—
616Q8—1721no—
617Q8—1721no—
618Q8—1721no—
619Q8—1721no—
620D4—44no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—84no—
653C2×C4—862no—
654C2×C4—862no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1728no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4#1306330812yes—
667C2×C4C2×D4×D4311yescharacteristic
668C2×C4#41×D4311yescharacteristic
669C2×C4C2×#1062189811yescharacteristic
670C2×C4C2×#1062189811yescharacteristic
671C2×C4#1306337011yescharacteristic
672C2×C4#1306337111yescharacteristic
673C8—862no—
674C8—1721no—
675C8—1721no—
676C8—1721no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22C2×#1306330811yescharacteristic
692C22D4×C22⋊D4311yescharacteristic
693C22#1458353711yescharacteristic
694C22C2×#1306335511yescharacteristic
695C22#1458369711yescharacteristic
696C22#1458371011yescharacteristic
697C22#1458371411yescharacteristic
698C4—22no—
699C4—41no—
700C4—41no—
701C4—41no—
702C4—42no—
703C4—81no—
704C4—81no—
705C4—81no—
706C4—3441no—
707C4—3441no—
708C4—1722no—
709C4—1722no—
710C4#1458340811yescharacteristic
711C4#1458348211yescharacteristic
712C4#1458354511yescharacteristic
713C4#1458357811yescharacteristic
714C2—42no—
715C2—42no—
716C2#1913805111yescharacteristic
717C2#1914454311yescharacteristic
718C2#1914456411yescharacteristic
719C2#1914610111yescharacteristic
720C2#1914624811yescharacteristic
721C2#1914664011yescharacteristic
722C2#1914684211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2352C2
socleC23×C43C22×D4
prime radicalC22×D4×C43D4
hypercenter#2352D43
hypocenterC43#24884
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2352

Complements

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

NH ≅ G/Ntype
1. C2×#14583229C2semidirect
2. C2×#14582907C2semidirect
4. #19136146C2semidirect
5. #19136014C2semidirect
6. #19135798C2semidirect
7. #19135798C2semidirect
8. #19135236C2semidirect
9. #19135229C2semidirect
10. #19134902C2semidirect
12. #19134794C2semidirect
13. #19134626C2semidirect
14. #19134529C2semidirect
100. #13063248D4semidirect
422. C43#24884semidirect

Maximal subgroups

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

subgroupindex
C2×#145832292
C2×#145829072
#191379602
#191361462
#191360142
#191357982
#191352362
#191352292
#191349022
#191348932
#191347942
#191346262
#191345292
C43×#23522
#2488443