Finite Group Databasebeta

← #25116964

Subgroups — #25116964

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×#14583063C211yesmaximal, characteristic
2C2×#14583007C211yesmaximal, characteristic, complemented
3C2×#14582896C211yesmaximal, characteristic
4#19137620C211yesmaximal, characteristic, complemented
5#19137435C211yesmaximal, characteristic
6#19135476C211yesmaximal, characteristic, complemented
7#19135292C211yesmaximal, characteristic, complemented
8#19135223C211yesmaximal, characteristic, complemented
9#19135018C211yesmaximal, characteristic, complemented
10#19134949C211yesmaximal, characteristic, complemented
11#19134935C211yesmaximal, characteristic, complemented
12#19134852C211yesmaximal, characteristic, complemented
13#19134796C211yesmaximal, characteristic, complemented
14#19134426C211yesmaximal, characteristic, complemented
15C43×#1752C211yesmaximal, characteristic, complemented
16C22×#10621898C2211yescharacteristic
17C22×Dic172C2211yescharacteristic
18C22×#10621873C2211yescharacteristic
19C2×#13063304C2211yescharacteristic
20C2×C4×Dic86C2211yescharacteristic
21C2×C4×Dic86C2211yescharacteristic
22C2×C4×Dic86C2211yescharacteristic
23C2×#13063284C2211yescharacteristic
24#14583063C418yescomplemented
25#14583007—24no—
26C2×#13063259C2211yescharacteristic
27C2×#13063257C2211yescharacteristic
28#14582896—24no—
29C2×#13063250C2211yescharacteristic
30C2×#13063250C2211yescharacteristic
31C2×#13063250C2211yescharacteristic
32C2×#13063250C2211yescharacteristic
33C2×#13063250C2211yescharacteristic
34C2×#13063247C2211yescharacteristic
35C2×#13063247C2211yescharacteristic
36C2×#13063247C2211yescharacteristic
37#14582805C2211yescharacteristic
38#14582801C2211yescharacteristic
39#14582801C2211yescharacteristic
40#14582799—21no—
41#14582799—21no—
42#14582797C2211yescharacteristic
43#14582793—21no—
44#14582787—21no—
45#14582781—21no—
46#14582759C2211yescharacteristic
47#14582758—21no—
48C4×C4⋊Dic43C2211yescharacteristic
49#14582750—21no—
50#14582746—21no—
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582662C2211yescharacteristic
54#14582662C2211yescharacteristic
55C23×C8×C43C2211yescharacteristic
56C2×C22⋊C8×C43C2211yescharacteristic
57C2×#97×C43C2211yescharacteristic
58C2×#97×C43C2211yescharacteristic
59C4×C22⋊C4×C43C2211yescharacteristic
60C43×#336C2211yescharacteristic
61C43×#336C2211yescharacteristic
62C2×#10621898—22no—
63C2×#10621898—22no—
64C2×#10621898—22no—
65C2×#10621898—41no—
66C2×#10621898—41no—
67C2×#10621898C2×C414yes—
68C22×Dic86C2311yescharacteristic
69C22×Dic86C2311yescharacteristic
70C22×D172C2311yescharacteristic
71C22×C22⋊D43—21no—
72C22×C4×D43—21no—
73C2×Dic172—22no—
74C2×Dic172—22no—
75C2×Dic172C2×C414yes—
76C2×#10621873—41no—
77C2×#10621873—41no—
78C2×#10621873C2×C414yes—
79#13063304—22no—
80#13063304C2×C414yes—
81C4×Dic86—22no—
82C4×Dic86—22no—
83C4×Dic86—22no—
84C4×Dic86—41no—
85C4×Dic86—41no—
86C4×Dic86—41no—
87#13063284—22no—
88#13063284—41no—
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
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×Dic43⋊C4—21no—
99C2×C22⋊Dic43—21no—
100C2×C22⋊Dic43—21no—
101C2×C22⋊Dic43—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4—21no—
104C2×(C2×D43)⋊C4—21no—
105C2×(C2×D43)⋊C4—21no—
106C2×C4×Dic43—21no—
107C2×C4×Dic43—21no—
108C2×C4×Dic43—21no—
109C2×C4×Dic43—21no—
110C2×C4×Dic43—21no—
111#13063259—41no—
112#13063257—22no—
113#13063250—22no—
114#13063250—22no—
115#13063250—41no—
116#13063250C2×C414yes—
117#13063250D414yes—
118#13063247—22no—
119#13063247—22no—
120#13063247C2×C414yes—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C43⋊#95—21no—
126C23×C4×C43C2311yescharacteristic
127C22×C8×C43—22no—
128C22×C8×C43—22no—
129C22×C8×C43—41no—
130C22×C8×C43C2311yescharacteristic
131C22×C8×C43C2311yescharacteristic
132C22×C8×C43C2311yescharacteristic
133C22×C8×C43C2311yescharacteristic
134C2×C22⋊C4×C43D411yescharacteristic
135C2×C22⋊C4×C43D411yescharacteristic
136C2×C42×C43C2311yescharacteristic
137C2×C42×C43C2311yescharacteristic
138C22⋊C8×C43C2×C414yes—
139#97×C43—22no—
140#97×C43—41no—
141#95×C43D411yescharacteristic
142#95×C43D411yescharacteristic
143C24×C43C2×D411yescharacteristic
144C23×D43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43C22×C412yes—
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2×D411yescharacteristic
155C22×C4×C43#4112yes—
156C22×C4×C43C2411yescharacteristic
157C2×C22⋊D43—24no—
158C2×C22⋊D43—42no—
159C2×C22⋊D43—42no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167#10621898—28no—
168#10621898—44no—
169#10621898—44no—
170#10621898—44no—
171C2×D172—21no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—21no—
175C2×D172—21no—
176C2×D172C22×C412yes—
177C2×C4×D43—24no—
178C2×C4×D43—42no—
179C2×C4×D43—42no—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86C22×C412yes—
189C2×Dic86C22×C412yes—
190C2×Dic86C2×D412yes—
191C2×Dic86#4112yes—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—44no—
202C2×C8×C43C22×C412yes—
203C2×C8×C43C22×C412yes—
204C2×C8×C43C2×D412yes—
205C22⋊C4×C43—41no—
206C22⋊C4×C43—41no—
207C42×C43—21no—
208C42×C43—21no—
209C42×C43—21no—
210C42×C43—21no—
211C22⋊Dic43—24no—
212C22⋊Dic43—42no—
213C22⋊Dic43—81no—
214(C2×D43)⋊C4—42no—
215(C2×D43)⋊C4—42no—
216(C2×D43)⋊C4—81no—
217(C2×D43)⋊C4—81no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43—21no—
226C4⋊Dic43C22×C412yes—
227C4⋊Dic43C2×D412yes—
228Dic43⋊C4—24no—
229Dic43⋊C4—42no—
230Dic43⋊C4—42no—
231Dic43⋊C4—42no—
232Dic43⋊C4—42no—
233C4×Dic43—42no—
234C4×Dic43—42no—
235C4×Dic43—42no—
236C4×Dic43—42no—
237C4×Dic43—42no—
238Dic172—28no—
239#10621873—44no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—21no—
243C23×C43—21no—
244C23×C43—21no—
245C23×C43—21no—
246C23×C43C4×D412yes—
247C23×C43C22×D411yescharacteristic
248C22×D43—22no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252C22×D43—41no—
253C22×D43—41no—
254C22×D43—41no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
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—21no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43—21no—
272C2×C4×C43—21no—
273C2×C4×C43C4×D412yes—
274C2×C4×C43C23×C411yescharacteristic
275C2×C4×C43C22×D411yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C43H(5,𝔽2)11yescharacteristic
279C2×C4×C43H(5,𝔽2)11yescharacteristic
280C22⋊D43—48no—
281C2×Dic43—22no—
282C2×Dic43—22no—
283C2×Dic43—22no—
284C2×Dic43—22no—
285C2×Dic43—22no—
286C2×Dic43—22no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
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—
302D172—22no—
303D172—22no—
304D172—41no—
305D172—41no—
306C4×D43—48no—
307Dic86—22no—
308Dic86—22no—
309Dic86—22no—
310Dic86—22no—
311Dic86—22no—
312Dic86—41no—
313Dic86—41no—
314Dic86C4×D414yes—
315C8×C43—22no—
316C8×C43—22no—
317C8×C43—22no—
318C8×C43—41no—
319#22861—431nomaximal, Sylow
320C22×C43—22no—
321C22×C43—22no—
322C22×C43—22no—
323C22×C43—41no—
324C22×C43—41no—
325C22×C43—41no—
326C22×C43—41no—
327C22×C43C2×C4×D411yescharacteristic
328C22×C43D4211yescharacteristic
329C22×C43#54611yescharacteristic
330C22×C43#57511yescharacteristic
331C22×C43#57511yescharacteristic
332C22×C43#57711yescharacteristic
333C22×C43#57811yescharacteristic
334C2×D43—42no—
335C2×D43—42no—
336C2×D43—42no—
337C2×D43—81no—
338C2×D43—81no—
339C2×D43—81no—
340C2×D43—81no—
341C4×C43—22no—
342C4×C43—41no—
343C4×C43—41no—
344C4×C43—41no—
345C4×C43—41no—
346C4×C43C2×C4×D411yescharacteristic
347C4×C43#51811yescharacteristic
348C4×C43#54611yescharacteristic
349C4×C43#55111yescharacteristic
350Dic43—24no—
351Dic43—42no—
352Dic43—42no—
353Dic43—42no—
354Dic43—81no—
355Dic43—81no—
356Dic43—81no—
357C2×#452—431no—
358C2×#441—431no—
359C2×#416—431no—
360#2362—431no—
361#2341—431no—
362#1973—431no—
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#1752D4311yescharacteristic, complemented
372C2×C43—42no—
373C2×C43#235811yescharacteristic
374C2×C43#294311yescharacteristic
375C2×C43#294711yescharacteristic
376C2×C43#326911yescharacteristic
377C2×C43#327111yescharacteristic
378C2×C43#331311yescharacteristic
379C2×C43#331711yescharacteristic
380D43—82no—
381C22×#41—431no—
382C22×Q16—431no—
383C22×SD16—431no—
384C23×C8C2×D4311yescharacteristic
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×#107—431no—
393C2×#106—431no—
394#416—864no—
395C2×#103—431no—
396C2×#103—431no—
397C2×#103—431no—
398C2×#103—431no—
399C2×#103—431no—
400C2×#102—431no—
401C2×#102—431no—
402C2×#102—431no—
403C2×C22⋊C8C2×D4311yescharacteristic
404C2×#97C2×D4311yescharacteristic
405C2×#97C2×D4311yescharacteristic
406#391—431no—
407#390—431no—
408#390—431no—
409#390—861no—
410#390—861no—
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—861no—
420C4×C22⋊C4C2×D4311yescharacteristic
421#340—431no—
422#340—431no—
423#340—431no—
424#340—431no—
425#336C2×D4311yescharacteristic
426#336C2×D4311yescharacteristic
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×Q8—431no—
436C22×D4—431no—
437C22×D4—861no—
438C23×C4—861no—
439C23×C4C22×D4311yescharacteristic
440C2×Q16—434no—
441C2×Q16—862no—
442C2×Q16—862no—
443C2×SD16—434no—
444C2×SD16—1721no—
445C2×SD16—1721no—
446C22×C8—22no—
447C22×C8—22no—
448C22×C8—41no—
449C22×C8C22×D4311yescharacteristic
450C22×C8C22×D4311yescharacteristic
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—431no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—861no—
469C2×C4⋊C4—861no—
470C2×C4⋊C4—861no—
471C2×C4⋊C4—861no—
472C2×C4⋊C4—861no—
473C2×C22⋊C4—861no—
474C2×C22⋊C4—861no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4D17211yescharacteristic
481C2×C22⋊C4D17211yescharacteristic
482C2×C42—861no—
483C2×C42—861no—
484C2×C42—861no—
485C2×C42—861no—
486C2×C42—861no—
487C2×C42C22×D4311yescharacteristic
488C2×C42C22×D4311yescharacteristic
489#107—1721no—
490#106—862no—
491#103—434no—
492#103—434no—
493#103—862no—
494#103—862no—
495#103—1721no—
496#102—434no—
497#102—862no—
498#102—862no—
499C22⋊C8C4×D4314yes—
500#97—22no—
501#97—41no—
502#95—861no—
503#95—861no—
504#95—861no—
505#95—861no—
506#95—861no—
507#95D17211yescharacteristic
508#95D17211yescharacteristic
509C24—861no—
510C24C2×D17211yescharacteristic
511#41—868no—
512#41—1724no—
513#41—1724no—
514#41—1724no—
515C2×Q8—432no—
516C2×Q8—432no—
517C2×Q8—432no—
518C2×Q8—432no—
519C2×Q8—861no—
520C2×Q8—861no—
521C2×Q8—861no—
522C2×Q8—861no—
523C2×Q8—861no—
524C2×Q8—861no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×D4—432no—
528C2×D4—864no—
529C2×D4—861no—
530C2×D4—861no—
531C2×D4—861no—
532C2×D4—861no—
533C2×D4—861no—
534C2×D4—1722no—
535C2×D4—1722no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—861no—
541C22×C4—861no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—864no—
545C22×C4—861no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—1722no—
549C22×C4—1722no—
550C22×C4C2×C4×D4312yes—
551C22×C4C2×D17211yescharacteristic
552C22×C4C2×D17211yescharacteristic
553C22×C4C2×D17211yescharacteristic
554C22×C4C2×D17211yescharacteristic
555C22×C4C2×D17211yescharacteristic
556C22×C4#1062189812yes—
557C22×C4C23×D4311yescharacteristic
558Q16—868no—
559SD16—1724no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—44no—
570C2×C8C2×C4×D4312yes—
571C2×C8C2×C4×D4312yes—
572C2×C8D4×D4312yes—
573C4⋊C4—432no—
574C4⋊C4—432no—
575C4⋊C4—864no—
576C4⋊C4—861no—
577C4⋊C4—861no—
578C4⋊C4—861no—
579C4⋊C4—861no—
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—41no—
589C22⋊C4—41no—
590C22⋊C4—864no—
591C22⋊C4—3441no—
592C22⋊C4—3441no—
593C22⋊C4—3441no—
594C22⋊C4—1722no—
595C22⋊C4—1722no—
596C22⋊C4—1722no—
597C42—21no—
598C42—21no—
599C42—21no—
600C42—21no—
601C42—1722no—
602C42—1722no—
603C42—1722no—
604C42—1722no—
605C42—1722no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—862no—
613C23—1721no—
614C23—1721no—
615C23—1721no—
616C23—1721no—
617C23—1721no—
618C23—1721no—
619C23C4×D17212yes—
620C23C22×D17211yescharacteristic
621Q8—434no—
622Q8—862no—
623Q8—862no—
624Q8—862no—
625Q8—862no—
626Q8—862no—
627Q8—1721no—
628Q8—1721no—
629D4—862no—
630D4—862no—
631D4—1728no—
632D4—1721no—
633D4—1721no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—862no—
653C2×C4—862no—
654C2×C4—862no—
655C2×C4—862no—
656C2×C4—862no—
657C2×C4—862no—
658C2×C4—1728no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4—1721no—
671C2×C4—1721no—
672C2×C4—1721no—
673C2×C4—1721no—
674C2×C4C4×D17212yes—
675C2×C4C22×C4×D4311yescharacteristic
676C2×C4C2×D4×D4311yescharacteristic
677C2×C4#41×D4311yescharacteristic
678C2×C4C2×#1062189811yescharacteristic
679C2×C4#1306337011yescharacteristic
680C2×C4#1306337111yescharacteristic
681C8—22no—
682C8—22no—
683C8—22no—
684C8—41no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—3441no—
693C22—3441no—
694C22—3441no—
695C22—3441no—
696C22—1722no—
697C22—1722no—
698C22—1722no—
699C22C2×C4×D17211yescharacteristic
700C22D4×D17211yescharacteristic
701C22#1458354411yescharacteristic
702C22#1458369911yescharacteristic
703C22#1458369911yescharacteristic
704C22#1458371111yescharacteristic
705C22#1458371611yescharacteristic
706C4—22no—
707C4—41no—
708C4—41no—
709C4—41no—
710C4—41no—
711C4—864no—
712C4—3441no—
713C4—3441no—
714C4—3441no—
715C4—1722no—
716C4—1722no—
717C4—1722no—
718C4C4×D4×D4311yescharacteristic
719C4#1458337111yescharacteristic
720C4#1458353911yescharacteristic
721C4#1458357311yescharacteristic
722C2—42no—
723C2—3442no—
724C2#1913757711yescharacteristic
725C2#1914339711yescharacteristic
726C2#1914344011yescharacteristic
727C2#1914615511yescharacteristic
728C2#1914618511yescharacteristic
729C2#1914666311yescharacteristic
730C2#1914672311yescharacteristic
subgroupG/H
centerC23C22×D172
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1752C2
socleC23×C43C22×D4
prime radicalC22×#10621898C22
cosocleC22×C4×C43C24
hypercenter#1752D43
hypocenterC43#22861
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #1752

Complements

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

NH ≅ G/Ntype
2. C2×#14583007C2semidirect
4. #19137620C2semidirect
6. #19135476C2semidirect
7. #19135292C2semidirect
8. #19135223C2semidirect
9. #19135018C2semidirect
10. #19134949C2semidirect
11. #19134935C2semidirect
12. #19134852C2semidirect
13. #19134796C2semidirect
14. #19134426C2semidirect
15. C43×#1752C2semidirect
24. #14583063C4semidirect
371. #1752D43semidirect
427. C43#22861semidirect

Maximal subgroups

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

subgroupindex
C2×#145830632
C2×#145830072
C2×#145828962
#191376202
#191374352
#191354762
#191352922
#191352232
#191350182
#191349492
#191349352
#191348522
#191347962
#191344262
C43×#17522
#2286143