Finite Group Databasebeta

← #25116958

Subgroups — #25116958

Order 11008.

1090 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583058C211yesmaximal, characteristic
2C2×#14583003C211yesmaximal, characteristic, complemented
3C2×#14582892C211yesmaximal, characteristic
4#19137627C211yesmaximal, characteristic, complemented
5#19137434C211yesmaximal, characteristic
6#19135289C211yesmaximal, characteristic, complemented
7#19135219C211yesmaximal, characteristic, complemented
8#19135015C211yesmaximal, characteristic, complemented
9#19134952C211yesmaximal, characteristic, complemented
10#19134939C211yesmaximal, characteristic, complemented
11#19134846C211yesmaximal, characteristic, complemented
12#19134791C211yesmaximal, characteristic, complemented
13#19134426C211yesmaximal, characteristic, complemented
14#19134372C211yesmaximal, characteristic, complemented
15C43×#1973C211yesmaximal, characteristic, complemented
16C22×#10621900C2211yescharacteristic
17C22×#10621885C2211yescharacteristic
18C22×C8×D43C2211yescharacteristic
19C2×#13063301C2211yescharacteristic
20C2×Q8×Dic43C2211yescharacteristic
21C2×C4×Dic86C2211yescharacteristic
22C2×#13063290C2211yescharacteristic
23C2×#13063283C2211yescharacteristic
24#14583058C418yescomplemented
25#14583003—24no—
26C2×#13063256C2211yescharacteristic
27#14582892—24no—
28C2×#13063250C2211yescharacteristic
29C2×#13063250C2211yescharacteristic
30C2×#13063249C2211yescharacteristic
31C2×#13063248C2211yescharacteristic
32C2×#13063246C2211yescharacteristic
33C2×#13063246C2211yescharacteristic
34C2×(C2×D43)⋊C8C2211yescharacteristic
35C2×#13063235C2211yescharacteristic
36#14582802C2211yescharacteristic
37#14582799—21no—
38#14582799—21no—
39#14582795C2211yescharacteristic
40#14582791—21no—
41#14582788—21no—
42#14582786—21no—
43#14582757—21no—
44#14582756C2211yescharacteristic
45C4×C4⋊Dic43C2211yescharacteristic
46#14582750—21no—
47C22⋊C4×Dic43—21no—
48C4×(C2×D43)⋊C4C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582654C2211yescharacteristic
54#14582653C2211yescharacteristic
55C22×SD16×C43C2211yescharacteristic
56C2×#107×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C2×#97×C43C2211yescharacteristic
60C43×#391C2211yescharacteristic
61C43×#390C2211yescharacteristic
62C2×#10621900—22no—
63C2×#10621900—22no—
64C2×#10621900—22no—
65C2×#10621900—41no—
66C2×#10621900—41no—
67C2×#10621900C2×C414yes—
68C22×Dic86C2311yescharacteristic
69C22×C22⋊D43—21no—
70C23×Dic43—21no—
71C22×C4×D43C2311yescharacteristic
72C2×#10621885—22no—
73C2×#10621885—22no—
74C2×#10621885C2×C414yes—
75C22×C43⋊C8C2311yescharacteristic
76C22×C43⋊C8C2311yescharacteristic
77C2×C8×D43—22no—
78C2×C8×D43—22no—
79C2×C8×D43—41no—
80#13063301—22no—
81#13063301C2×C414yes—
82Q8×Dic43—22no—
83Q8×Dic43—41no—
84C4×Dic86—22no—
85C4×Dic86—41no—
86#13063290—22no—
87#13063290—41no—
88#13063283—22no—
89#13063283—41no—
90C2×C4⋊Dic43—21no—
91C2×C4⋊Dic43C2311yescharacteristic
92C2×C4⋊Dic43C2311yescharacteristic
93C2×C4⋊Dic43C2311yescharacteristic
94C2×Dic43⋊C4—21no—
95C2×Dic43⋊C4—21no—
96C2×Dic43⋊C4—21no—
97C2×Dic43⋊C4—21no—
98C2×C22⋊Dic43—21no—
99C2×C22⋊Dic43—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4D411yescharacteristic
104C2×(C2×D43)⋊C4D411yescharacteristic
105C2×C4×Dic43—21no—
106C2×C4×Dic43—21no—
107C2×C4×Dic43—21no—
108C2×C4×Dic43—21no—
109C2×C4×Dic43—21no—
110C2×C4×Dic43C2311yescharacteristic
111#13063256—22no—
112#13063250C2×C414yes—
113#13063250D414yes—
114#13063249—41no—
115#13063248—22no—
116#13063246—22no—
117#13063246C2×C414yes—
118(C2×D43)⋊C8C2×C414yes—
119#13063235—22no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C43⋊#95D411yescharacteristic
124C43⋊#95D411yescharacteristic
125C22×Q8×C43C2311yescharacteristic
126C22×D4×C43C2311yescharacteristic
127C2×SD16×C43—41no—
128C2×SD16×C43—41no—
129C2×SD16×C43C2×C414yes—
130C22×C8×C43C2311yescharacteristic
131C22×C8×C43C2311yescharacteristic
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C22⋊C4×C43—21no—
135C2×C22⋊C4×C43—21no—
136C2×C42×C43C2311yescharacteristic
137#107×C43—41no—
138#103×C43—22no—
139#102×C43—22no—
140#97×C43—41no—
141#95×C43—21no—
142#95×C43—21no—
143C24×C43—21no—
144C23×D43C2×D411yescharacteristic
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43C22×C412yes—
151C2×D4×C43—21no—
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43C22×C412yes—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2411yescharacteristic
163C2×C22⋊D43—24no—
164C2×C22⋊D43—42no—
165C2×C22⋊D43—42no—
166C22×Dic43—24no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—42no—
172C22×Dic43—42no—
173C22×Dic43C2×D411yescharacteristic
174C22×Dic43C2×D411yescharacteristic
175C22×Dic43C2×D411yescharacteristic
176#10621900—28no—
177#10621900—44no—
178#10621900—44no—
179#10621900—44no—
180C2×C4×D43—21no—
181C2×C4×D43—21no—
182C2×C4×D43—21no—
183C2×C4×D43—21no—
184C2×C4×D43C22×C412yes—
185C2×C4×D43#4112yes—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86C22×C412yes—
190C2×Dic86C2×D412yes—
191C2×Dic86#4112yes—
192SD16×C43—44no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43C22×C412yes—
198C2×C8×C43C2×D412yes—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C22⋊C4×C43—42no—
204C22⋊C4×C43—81no—
205C42×C43—21no—
206C42×C43—21no—
207C22⋊Dic43—42no—
208C22⋊Dic43—81no—
209#10621885—28no—
210(C2×D43)⋊C4—24no—
211(C2×D43)⋊C4—41no—
212(C2×D43)⋊C4—41no—
213(C2×D43)⋊C4—42no—
214(C2×D43)⋊C4—81no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—42no—
220C4⋊Dic43C22×C412yes—
221C4⋊Dic43C2×D412yes—
222Dic43⋊C4—24no—
223Dic43⋊C4—42no—
224Dic43⋊C4—42no—
225Dic43⋊C4—42no—
226C4×Dic43—21no—
227C4×Dic43—21no—
228C4×Dic43—42no—
229C4×Dic43—42no—
230C4×Dic43—42no—
231C4×Dic43—42no—
232C4×Dic43—42no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C2×C43⋊C8C22×C412yes—
239C8×D43—44no—
240C23×C43—22no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43C22×D411yescharacteristic
248C22×D43—21no—
249C22×D43—21no—
250C22×D43—21no—
251C22×D43—21no—
252C22×D43—21no—
253C22×D43—21no—
254C22×D43C4×D412yes—
255Q8×C43—22no—
256Q8×C43—22no—
257Q8×C43—41no—
258Q8×C43—41no—
259D4×C43—22no—
260D4×C43—22no—
261D4×C43—41no—
262D4×C43—41no—
263C2×C4×C43—22no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
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×C43C23×C411yescharacteristic
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43H(5,𝔽2)11yescharacteristic
283C2×C4×C43H(5,𝔽2)11yescharacteristic
284C22⋊D43—48no—
285C2×Dic43—22no—
286C2×Dic43—21no—
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—21no—
290C2×Dic43—22no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—22no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—21no—
297C2×Dic43—21no—
298C2×Dic43—48no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43C4×D412yes—
307C4×D43—22no—
308C4×D43—22no—
309C4×D43—22no—
310C4×D43—22no—
311Dic86—22no—
312Dic86—22no—
313Dic86—22no—
314Dic86C4×D414yes—
315C8×C43—22no—
316C8×C43—22no—
317C43⋊C8—22no—
318C43⋊C8—41no—
319#22861—431nomaximal, Sylow
320C22×C43—42no—
321C22×C43—42no—
322C22×C43—42no—
323C22×C43—81no—
324C22×C43—81no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43C2×C4×D411yescharacteristic
328C22×C43D4211yescharacteristic
329C22×C43#54611yescharacteristic
330C22×C43#57511yescharacteristic
331C22×C43#57511yescharacteristic
332C22×C43#57711yescharacteristic
333C22×C43#57811yescharacteristic
334C2×D43—22no—
335C2×D43—22no—
336C2×D43—22no—
337C2×D43—41no—
338C2×D43—41no—
339C2×D43—41no—
340C2×D43—41no—
341C4×C43—42no—
342C4×C43—41no—
343C4×C43—41no—
344C4×C43—81no—
345C4×C43—81no—
346C4×C43C2×C4×D411yescharacteristic
347C4×C43#51811yescharacteristic
348C4×C43#54611yescharacteristic
349C4×C43#55111yescharacteristic
350Dic43—24no—
351Dic43—22no—
352Dic43—42no—
353Dic43—41no—
354Dic43—42no—
355Dic43—41no—
356Dic43—81no—
357C2×#452—431no—
358C2×#441—431no—
359C2×#416—431no—
360#2362—431no—
361#2341—431no—
362#1973D4311yescharacteristic, complemented
363#1936—431no—
364#1926—431no—
365#1892—431no—
366#1880—431no—
367#1878—431no—
368#1863—431no—
369#1854—431no—
370#1763—431no—
371#1752—431no—
372C2×C43—82no—
373C2×C43#235811yescharacteristic
374C2×C43#294311yescharacteristic
375C2×C43#294711yescharacteristic
376C2×C43#326911yescharacteristic
377C2×C43#327111yescharacteristic
378C2×C43#331311yescharacteristic
379C2×C43#331711yescharacteristic
380D43—42no—
381C22×#41—431no—
382C22×Q16—431no—
383C22×SD16C2×D4311yescharacteristic
384C23×C8—431no—
385C2×C22⋊Q8—431no—
386C2×C4×Q8—431no—
387C2×C4×Q8—431no—
388C2×C4×Q8—431no—
389C2×#117—431no—
390#452—438no—
391#441—864no—
392C2×#107C2×D4311yescharacteristic
393C2×#106—431no—
394#416—864no—
395C2×#103—431no—
396C2×#103—431no—
397C2×#103—431no—
398C2×#103—431no—
399C2×#103C2×D4311yescharacteristic
400C2×#102—431no—
401C2×#102—431no—
402C2×#102C2×D4311yescharacteristic
403C2×C22⋊C8—431no—
404C2×#97—431no—
405C2×#97C2×D4311yescharacteristic
406#391C2×D4311yescharacteristic
407#390—431no—
408#390—861no—
409#390—861no—
410#390C2×D4311yescharacteristic
411#389—431no—
412#388—861no—
413#388—861no—
414#387—861no—
415#380—431no—
416#380—861no—
417C4×C4⋊C4—431no—
418C4×C4⋊C4—861no—
419C4×C22⋊C4—431no—
420C4×C22⋊C4—861no—
421#340—431no—
422#340—431no—
423#340—431no—
424#340—431no—
425#336—431no—
426#336—431no—
427C43#2286111yescharacteristic, complemented, Sylow
428C2×#41—434no—
429C2×#41—862no—
430C2×#41—862no—
431C2×#41—862no—
432C2×#41—1721no—
433C2×#41—1721no—
434C22×Q8—431no—
435C22×Q8C22×D4311yescharacteristic
436C22×D4—861no—
437C22×D4C22×D4311yescharacteristic
438C23×C4—431no—
439C23×C4—861no—
440C2×Q16—434no—
441C2×Q16—862no—
442C2×Q16—862no—
443C2×SD16—41no—
444C2×SD16—41no—
445C2×SD16C4×D4314yes—
446C22×C8—431no—
447C22×C8—431no—
448C22×C8—862no—
449C22×C8—862no—
450C22×C8—1721no—
451C22×C8C22×D4311yescharacteristic
452C22×C8C22×D4311yescharacteristic
453C22⋊Q8—434no—
454C22⋊Q8—862no—
455C4×Q8—862no—
456C4×Q8—862no—
457C4×Q8—862no—
458C4×Q8—1721no—
459C4×Q8—1721no—
460C4×Q8—1721no—
461#117—862no—
462#117—1721no—
463C2×C4⋊C4—431no—
464C2×C4⋊C4—431no—
465C2×C4⋊C4—431no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4—861no—
468C2×C4⋊C4—861no—
469C2×C4⋊C4—861no—
470C2×C4⋊C4—861no—
471C2×C4⋊C4C22×D4311yescharacteristic
472C2×C4⋊C4C22×D4311yescharacteristic
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—431no—
476C2×C22⋊C4—431no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4—861no—
481C2×C22⋊C4—861no—
482C2×C42—431no—
483C2×C42—861no—
484C2×C42—861no—
485C2×C42—861no—
486C2×C42—861no—
487C2×C42—861no—
488C2×C42C22×D4311yescharacteristic
489#107—41no—
490#106—862no—
491#103—22no—
492#103—434no—
493#103—434no—
494#103—862no—
495#103—1721no—
496#102—22no—
497#102—434no—
498#102—862no—
499C22⋊C8—434no—
500#97—41no—
501#97—862no—
502#95—21no—
503#95—21no—
504#95—431no—
505#95—431no—
506#95—861no—
507#95—861no—
508#95—861no—
509C24—21no—
510C24—431no—
511#41—868no—
512#41—1724no—
513#41—1724no—
514#41—1724no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—432no—
521C2×Q8—432no—
522C2×Q8—432no—
523C2×Q8—861no—
524C2×Q8—861no—
525C2×Q8—861no—
526C2×Q8C2×C4×D4312yes—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—864no—
533C2×D4—1722no—
534C2×D4—1722no—
535C2×D4C2×C4×D4312yes—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—431no—
540C22×C4—432no—
541C22×C4—432no—
542C22×C4—431no—
543C22×C4—431no—
544C22×C4—864no—
545C22×C4—861no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4—861no—
550C22×C4—861no—
551C22×C4—861no—
552C22×C4—861no—
553C22×C4—1722no—
554C22×C4—1722no—
555C22×C4D4×D4311yescharacteristic
556C22×C4D4×D4311yescharacteristic
557C22×C4C23×D4311yescharacteristic
558Q16—868no—
559SD16—44no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—432no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C2×C8—861no—
570C2×C8—1724no—
571C2×C8C2×C4×D4312yes—
572C2×C8D4×D4312yes—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—432no—
578C4⋊C4—432no—
579C4⋊C4—864no—
580C4⋊C4—861no—
581C4⋊C4—861no—
582C4⋊C4—861no—
583C4⋊C4—861no—
584C4⋊C4—1722no—
585C4⋊C4—1722no—
586C4⋊C4—1722no—
587C4⋊C4—1722no—
588C22⋊C4—42no—
589C22⋊C4—81no—
590C22⋊C4—864no—
591C22⋊C4—3441no—
592C22⋊C4—3441no—
593C22⋊C4—1721no—
594C22⋊C4—1721no—
595C22⋊C4—1722no—
596C22⋊C4—1722no—
597C42—21no—
598C42—21no—
599C42—861no—
600C42—861no—
601C42—1722no—
602C42—1722no—
603C42—1722no—
604C42—1722no—
605C42—1722no—
606C23—22no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—432no—
614C23—861no—
615C23—861no—
616C23—861no—
617C23—861no—
618C23—861no—
619C23—861no—
620C23C2×D4×D4311yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—41no—
624Q8—41no—
625Q8—434no—
626Q8—862no—
627Q8—862no—
628Q8—862no—
629D4—22no—
630D4—22no—
631D4—41no—
632D4—41no—
633D4—1728no—
634C2×C4—22no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
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—432no—
650C2×C4—862no—
651C2×C4—861no—
652C2×C4—862no—
653C2×C4—862no—
654C2×C4—861no—
655C2×C4—862no—
656C2×C4—862no—
657C2×C4—862no—
658C2×C4—862no—
659C2×C4—862no—
660C2×C4—861no—
661C2×C4—861no—
662C2×C4—861no—
663C2×C4—861no—
664C2×C4—861no—
665C2×C4—861no—
666C2×C4—862no—
667C2×C4—1728no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4—1721no—
671C2×C4—1721no—
672C2×C4—1721no—
673C2×C4—1721no—
674C2×C4—1721no—
675C2×C4C22×C4×D4311yescharacteristic
676C2×C4C2×D4×D4311yescharacteristic
677C2×C4#41×D4311yescharacteristic
678C2×C4#41×D4311yescharacteristic
679C2×C4#1306337011yescharacteristic
680C2×C4#1306337011yescharacteristic
681C8—22no—
682C8—22no—
683C8—862no—
684C8—1721no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—862no—
693C22—862no—
694C22—862no—
695C22—1721no—
696C22—1721no—
697C22—1721no—
698C22—1721no—
699C22C4×D4×D4311yescharacteristic
700C22#1458353411yescharacteristic
701C22#1458353811yescharacteristic
702C22#1458369511yescharacteristic
703C22#1458369811yescharacteristic
704C22#1458370911yescharacteristic
705C22#1458371511yescharacteristic
706C4—42no—
707C4—41no—
708C4—41no—
709C4—81no—
710C4—81no—
711C4—862no—
712C4—864no—
713C4—3441no—
714C4—1721no—
715C4—1722no—
716C4—1721no—
717C4—1722no—
718C4C4×D4×D4311yescharacteristic
719C4#1458337211yescharacteristic
720C4#1458353811yescharacteristic
721C4#1458357911yescharacteristic
722C2—82no—
723C2—1722no—
724C2#1913757611yescharacteristic
725C2#1914339011yescharacteristic
726C2#1914343511yescharacteristic
727C2#1914614911yescharacteristic
728C2#1914617911yescharacteristic
729C2#1914665611yescharacteristic
730C2#1914671611yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1973C2
socleC23×C43C22×D4
prime radicalC22×#10621900C22
cosocleC22×C4×C43C24
hypercenter#1973D43
hypocenterC43#22861
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1973

Complements

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

NH ≅ G/Ntype
2. C2×#14583003C2semidirect
4. #19137627C2semidirect
6. #19135289C2semidirect
7. #19135219C2semidirect
8. #19135015C2semidirect
9. #19134952C2semidirect
10. #19134939C2semidirect
11. #19134846C2semidirect
12. #19134791C2semidirect
13. #19134426C2semidirect
14. #19134372C2semidirect
15. C43×#1973C2semidirect
24. #14583058C4semidirect
362. #1973D43semidirect
427. C43#22861semidirect

Maximal subgroups

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

subgroupindex
C2×#145830582
C2×#145830032
C2×#145828922
#191376272
#191374342
#191352892
#191352192
#191350152
#191349522
#191349392
#191348462
#191347912
#191344262
#191343722
C43×#19732
#2286143