Finite Group Databasebeta

← #25119129

Subgroups — #25119129

Order 11008.

864 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19144052C211yesmaximal, characteristic
2C2×#14583022C211yesmaximal, characteristic, complemented
3C2×#14583017C211yesmaximal, characteristic, complemented
4#19143338C211yesmaximal, characteristic, complemented
5#19143160C211yesmaximal, characteristic, complemented
6#19135427C211yesmaximal, characteristic, complemented
7#19135371C211yesmaximal, characteristic, complemented
8#19135306C211yesmaximal, characteristic, complemented
9#19135299C211yesmaximal, characteristic, complemented
10#19134921C211yesmaximal, characteristic, complemented
11#19134921C211yesmaximal, characteristic, complemented
12#19134873C211yesmaximal, characteristic, complemented
13#19134873C211yesmaximal, characteristic, complemented
14#19134406C211yesmaximal, characteristic, complemented
15C43×#1768C211yesmaximal, characteristic, complemented
16C2×#13063347C2211yescharacteristic
17C2×#13063347C2211yescharacteristic
18C2×#13063331C2211yescharacteristic
19C2×#13063331C2211yescharacteristic
20C2×#13063331C2211yescharacteristic
21C2×#13063331C2211yescharacteristic
22#14583449C2211yescharacteristic
23C4×#10621898C2211yescharacteristic
24#14583122C411yescharacteristic, complemented
25#14583122C411yescharacteristic, complemented
26#14583115C411yescharacteristic, complemented
27#14583115C411yescharacteristic, complemented
28#14583110C411yescharacteristic, complemented
29#14583105C411yescharacteristic, complemented
30#14583100C411yescharacteristic, complemented
31#14583095C411yescharacteristic, complemented
32#14583022—24no—
33#14583017—24no—
34#14582976—21no—
35#14582969—21no—
36#14582969—21no—
37#14582964—21no—
38C2×#13063261C2211yescharacteristic
39C2×#13063261C2211yescharacteristic
40#14582925C2211yescharacteristic
41#14582925C2211yescharacteristic
42#14582924—21no—
43#14582924—21no—
44#14582923C2211yescharacteristic
45#14582921—21no—
46C4⋊C8×D43—21no—
47C2×#13063253C2211yescharacteristic
48C2×#13063253C2211yescharacteristic
49C2×#13063253C2211yescharacteristic
50C2×#13063253C2211yescharacteristic
51C2×#13063253C2211yescharacteristic
52C2×#13063253C2211yescharacteristic
53#14582896C2211yescharacteristic
54#14582896C2211yescharacteristic
55#14582865C2211yescharacteristic
56#14582865C2211yescharacteristic
57C4×#10621877C2211yescharacteristic
58#14582664C2211yescharacteristic
59#14582664C2211yescharacteristic
60#14582659C2211yescharacteristic
61#14582659C2211yescharacteristic
62C2×C4⋊C8×C43C2211yescharacteristic
63C2×C4⋊C8×C43C2211yescharacteristic
64C2×#97×C43C2211yescharacteristic
65C2×C4×C8×C43C2211yescharacteristic
66C43×#376C2211yescharacteristic
67C43×#336C2211yescharacteristic
68C43×#336C2211yescharacteristic
69C2×#10621898C2311yescharacteristic
70C2×#10621898C2311yescharacteristic
71C2×#10621898C2311yescharacteristic
72#13063347—22no—
73#13063347—22no—
74#13063347—22no—
75#13063347—22no—
76C2×Dic172C2×C411yescharacteristic
77C2×Dic172C2×C411yescharacteristic
78C2×#10621873C2×C411yescharacteristic
79C2×#10621873C2×C411yescharacteristic
80C2×#10621873C2×C411yescharacteristic
81C2×#10621873C2×C411yescharacteristic
82C2×D344C2×C411yescharacteristic
83C2×D344C2×C411yescharacteristic
84#13063331—22no—
85#13063331—22no—
86#13063331—22no—
87#13063331—22no—
88#13063331—41no—
89#13063331—41no—
90#13063331—41no—
91#13063331—41no—
92C2×#10621877C2311yescharacteristic
93C2×#10621877C2311yescharacteristic
94C2×#10621877C2311yescharacteristic
95C2×#10621877C2311yescharacteristic
96C2×#10621872—21no—
97C2×#10621872—21no—
98C2×#10621872—21no—
99C2×#10621872—21no—
100C2×C8×D43—21no—
101C2×C8×D43—21no—
102C2×C8×D43—21no—
103C2×C8×D43—21no—
104#13063325C2×C411yescharacteristic
105#13063322C2×C411yescharacteristic
106#13063313C2×C411yescharacteristic
107#13063313C2×C411yescharacteristic
108#13063299—21no—
109#13063299—21no—
110C4×Dic86C2×C411yescharacteristic
111C4×Dic86C2×C411yescharacteristic
112C4×D172—21no—
113C4×D172—21no—
114C4×D172C2×C411yescharacteristic
115C4×D172C2×C411yescharacteristic
116C4×C22⋊D43—21no—
117C4×C22⋊D43—21no—
118#13063284C2311yescharacteristic
119#13063282—21no—
120C42×D43—21no—
121#13063261—22no—
122#13063261—22no—
123C4⋊(C43⋊C8)—21no—
124C4⋊(C43⋊C8)—21no—
125Dic43⋊C8—21no—
126Dic43⋊C8—21no—
127Dic43⋊C8—21no—
128Dic43⋊C8—21no—
129#13063253—22no—
130#13063253—22no—
131#13063253—22no—
132#13063253—41no—
133#13063253—41no—
134#13063253D414yescomplemented
135#13063250C2×C411yescharacteristic
136#13063250C2×C411yescharacteristic
137#13063250C2×C411yescharacteristic
138#13063250C2×C411yescharacteristic
139#13063247C2×C411yescharacteristic
140#13063247C2×C411yescharacteristic
141#13063247C2×C411yescharacteristic
142#13063247C2×C411yescharacteristic
143(C2×D43)⋊C8—21no—
144(C2×D43)⋊C8—21no—
145(C2×D43)⋊C8—21no—
146(C2×D43)⋊C8—21no—
147#13063236—21no—
148C4×C43⋊C8—21no—
149C22×C8×C43C2311yescharacteristic
150C22×C8×C43C2311yescharacteristic
151C22×C8×C43C2311yescharacteristic
152C22×C8×C43C2311yescharacteristic
153C2×C42×C43C2311yescharacteristic
154C2×C42×C43C2311yescharacteristic
155C2×C42×C43C2311yescharacteristic
156C4⋊C8×C43C2×C411yescharacteristic
157C4⋊C8×C43C2×C411yescharacteristic
158C4⋊C8×C43C2×C411yescharacteristic
159C4⋊C8×C43C2×C411yescharacteristic
160C4⋊C8×C43D411yescharacteristic
161C4⋊C8×C43D411yescharacteristic
162C4⋊C8×C43D411yescharacteristic
163C4⋊C8×C43D411yescharacteristic
164#97×C43—22no—
165C4×C8×C43—22no—
166#95×C43—21no—
167#95×C43—21no—
168C22×C4×C43—21no—
169C22×C4×C43—21no—
170C22×C4×C43#4111yescharacteristic
171C22×C4×C43#4111yescharacteristic
172C22×C4×C43C2411yescharacteristic
173C2×C22⋊D43—21no—
174C2×C22⋊D43—21no—
175C2×C22⋊D43—21no—
176#10621898—21no—
177#10621898—21no—
178#10621898—21no—
179#10621898—21no—
180#10621898—21no—
181#10621898—21no—
182#10621898—21no—
183#10621898—21no—
184#10621898—21no—
185#10621898—21no—
186#10621898C2×D412yes—
187#10621898#4112yes—
188C2×D172—21no—
189C2×D172—21no—
190C2×D172C22×C411yescharacteristic
191C2×D172C22×C411yescharacteristic
192C2×D172C22×C411yescharacteristic
193C2×C4×D43—21no—
194C2×C4×D43—21no—
195C2×C4×D43—21no—
196C2×C4×D43—21no—
197C2×C4×D43—21no—
198C2×Dic86C22×C411yescharacteristic
199C2×Dic86C22×C411yescharacteristic
200C2×Dic86C22×C411yescharacteristic
201C2×C8×C43—21no—
202C2×C8×C43—21no—
203C2×C8×C43—21no—
204C2×C8×C43—21no—
205C2×C8×C43—21no—
206C2×C8×C43—21no—
207C2×C8×C43—21no—
208C2×C8×C43—21no—
209C2×C8×C43C22×C411yescharacteristic
210C2×C8×C43C22×C411yescharacteristic
211C2×C8×C43C22×C411yescharacteristic
212C2×C8×C43C22×C411yescharacteristic
213C2×C8×C43C2×D411yescharacteristic
214C2×C8×C43C2×D411yescharacteristic
215C2×C8×C43C2×D411yescharacteristic
216C2×C8×C43C2×D411yescharacteristic
217C42×C43—21no—
218C42×C43—21no—
219C42×C43—21no—
220C42×C43C22×C411yescharacteristic
221C42×C43C22×C411yescharacteristic
222C42×C43C2×D411yescharacteristic
223C42×C43C2×D411yescharacteristic
224C42×C43C2×D412yes—
225C22⋊Dic43—21no—
226(C2×D43)⋊C4—21no—
227(C2×D43)⋊C4—21no—
228(C2×D43)⋊C4—21no—
229(C2×D43)⋊C4—21no—
230(C2×D43)⋊C4—21no—
231(C2×D43)⋊C4—21no—
232C4⋊Dic43—21no—
233C4⋊Dic43—21no—
234C4⋊Dic43C22×C411yescharacteristic
235C4⋊Dic43C22×C411yescharacteristic
236Dic43⋊C4—21no—
237Dic43⋊C4—21no—
238C4×Dic43—21no—
239C4×Dic43—21no—
240C4×Dic43—21no—
241#10621877—21no—
242#10621877—21no—
243#10621877—21no—
244#10621877—21no—
245#10621877—21no—
246#10621877—21no—
247#10621877—21no—
248#10621877C2×D412yes—
249C2×C43⋊C8—21no—
250C2×C43⋊C8—21no—
251C2×C43⋊C8—21no—
252C2×C43⋊C8—21no—
253Dic172—22no—
254Dic172—22no—
255D344—22no—
256D344—22no—
257#10621873—22no—
258#10621873—22no—
259#10621873—22no—
260#10621873—22no—
261#10621872—42no—
262#10621872—42no—
263#10621872—42no—
264#10621872—42no—
265C8×D43—42no—
266C8×D43—42no—
267C8×D43—42no—
268C8×D43—42no—
269C23×C43C2×#4111yescharacteristic
270C22×D43—21no—
271C22×D43—21no—
272C22×D43—21no—
273C2×C4×C43—22no—
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×C43C4×D411yescharacteristic
282C2×C4×C43C4×D411yescharacteristic
283C2×C4×C43C4×D411yescharacteristic
284C2×C4×C43C4×D411yescharacteristic
285C2×C4×C43C23×C411yescharacteristic
286C2×C4×C43C22×D411yescharacteristic
287C2×C4×C43C22×D411yescharacteristic
288C2×C4×C43C2×#4111yescharacteristic
289C2×C4×C43H(5,𝔽2)11yescharacteristic
290C2×C4×C432−1+411yescharacteristic
291C22⋊D43—22no—
292C22⋊D43—22no—
293C22⋊D43—41no—
294C22⋊D43—41no—
295C22⋊D43—41no—
296C22⋊D43—41no—
297C2×Dic43—21no—
298C2×Dic43—21no—
299C2×Dic43—21no—
300C2×Dic43—21no—
301C2×Dic43—21no—
302D172—21no—
303D172—21no—
304D172—21no—
305D172—21no—
306D172—21no—
307D172—42no—
308D172—81no—
309D172C4×D412yes—
310C4×D43—22no—
311C4×D43—22no—
312C4×D43—42no—
313C4×D43—41no—
314C4×D43—41no—
315C4×D43—41no—
316C4×D43—41no—
317C4×D43—81no—
318Dic86—21no—
319Dic86—21no—
320Dic86—21no—
321Dic86—21no—
322Dic86—21no—
323Dic86C4×D412yes—
324C8×C43—21no—
325C8×C43—21no—
326C8×C43—21no—
327C8×C43—21no—
328C8×C43—21no—
329C8×C43—21no—
330C8×C43—21no—
331C8×C43—21no—
332C43⋊C8—22no—
333C43⋊C8—41no—
334C43⋊C8—41no—
335C43⋊C8—41no—
336#23017—431nomaximal, Sylow
337C22×C43—21no—
338C22×C43—21no—
339C22×C43C2×C4×D411yescharacteristic
340C22×C43#54711yescharacteristic
341C22×C43#55311yescharacteristic
342C2×D43—22no—
343C2×D43—41no—
344C2×D43—41no—
345C2×D43—41no—
346C2×D43—41no—
347C2×D43—41no—
348C2×D43—41no—
349C2×D43—41no—
350C2×D43—41no—
351C4×C43—21no—
352C4×C43—21no—
353C4×C43—21no—
354C4×C43—21no—
355C4×C43—42no—
356C4×C43—81no—
357C4×C43C2×C4×D411yescharacteristic
358C4×C43#52011yescharacteristic
359C4×C43D4211yescharacteristic
360C4×C43#54811yescharacteristic
361Dic43—22no—
362Dic43—41no—
363Dic43—41no—
364Dic43—41no—
365Dic43—41no—
366#3035—431no—
367C2×#444—431no—
368C2×#443—431no—
369#2935—431no—
370#2906—431no—
371#1963—431no—
372#1950—431no—
373#1938—431no—
374#1937—431no—
375#1876—431no—
376#1876—431no—
377#1866—431no—
378#1866—431no—
379#1768D4311yescharacteristic, complemented
380#1759—431no—
381C2×C43—21no—
382C2×C43—21no—
383C2×C43#236111yescharacteristic
384C2×C43#295511yescharacteristic
385C2×C43#295711yescharacteristic
386D43—42no—
387D43—81no—
388D43—81no—
389C2×#135—431no—
390C2×#135—431no—
391C2×#131—431no—
392C2×#131—431no—
393C2×#131—431no—
394C2×#131—431no—
395#532—431no—
396C4×#41—431no—
397#464—431no—
398#464—431no—
399#463—431no—
400#463—431no—
401#462—431no—
402#461—431no—
403#460—431no—
404#459—431no—
405#444—864no—
406#443—864no—
407#436—861no—
408#435—861no—
409#435—861no—
410C8×D4—861no—
411C2×#108—431no—
412C2×#108—431no—
413#424—431no—
414#424—431no—
415#424—861no—
416#424—861no—
417#423—431no—
418#423—861no—
419C2×C4⋊C8—861no—
420C2×C4⋊C8C2×D4311yescharacteristic
421C2×C4⋊C8C2×D4311yescharacteristic
422C2×#104—431no—
423C2×#104—431no—
424C2×#104—431no—
425C2×#104—431no—
426C2×#104—431no—
427C2×#104—431no—
428#416—431no—
429#416—431no—
430#408—431no—
431#408—431no—
432C4×M16—431no—
433C2×#97C2×D4311yescharacteristic
434C2×C4×C8C2×D4311yescharacteristic
435#376C2×D4311yescharacteristic
436#341—431no—
437#341—431no—
438#339—431no—
439#339—431no—
440#336C2×D4311yescharacteristic
441#336C2×D4311yescharacteristic
442C43#2301711yescharacteristic, complemented, Sylow
443C2×#41—431no—
444C2×#41—431no—
445C2×#41—431no—
446#135—862no—
447#135—862no—
448#135—862no—
449#135—862no—
450C2×Q16—431no—
451C2×Q16—431no—
452C2×SD16—431no—
453C2×SD16—431no—
454C2×SD16—431no—
455C2×SD16—431no—
456C2×D8—431no—
457C2×D8—431no—
458#131—862no—
459#131—862no—
460#131—862no—
461#131—862no—
462#131—1721no—
463#131—1721no—
464#131—1721no—
465#131—1721no—
466C2×M16—431no—
467C2×M16—431no—
468C2×M16—431no—
469C2×M16—431no—
470C2×M16—861no—
471C2×M16—861no—
472C2×M16—861no—
473C2×M16—861no—
474C22×C8—861no—
475C22×C8—861no—
476C22×C8—861no—
477C22×C8—861no—
478C22×C8C22×D4311yescharacteristic
479C22×C8C22×D4311yescharacteristic
480C22×C8C22×D4311yescharacteristic
481C22×C8C22×D4311yescharacteristic
482C4⋊Q8—431no—
483#127—431no—
484#124—431no—
485#124—431no—
486#121—861no—
487#121—861no—
488C4×Q8—431no—
489C4×Q8—431no—
490C4×D4—431no—
491C4×D4—431no—
492C4×D4—861no—
493C4×D4—861no—
494C4×D4—861no—
495C4×D4—861no—
496#117—431no—
497#117—861no—
498C2×C42—861no—
499C2×C42C22×D4311yescharacteristic
500C2×C42C22×D4311yescharacteristic
501C2×C42C22×D4311yescharacteristic
502#108—862no—
503#108—862no—
504C4⋊C8—861no—
505C4⋊C8—861no—
506C4⋊C8—861no—
507C4⋊C8—861no—
508C4⋊C8—861no—
509C4⋊C8—861no—
510C4⋊C8C4×D4311yescharacteristic
511C4⋊C8C4×D4311yescharacteristic
512C4⋊C8C4×D4311yescharacteristic
513C4⋊C8C4×D4311yescharacteristic
514C4⋊C8D17211yescharacteristic
515C4⋊C8D17211yescharacteristic
516C4⋊C8D17211yescharacteristic
517C4⋊C8D17211yescharacteristic
518#104—434no—
519#104—862no—
520#104—862no—
521#104—862no—
522#104—1721no—
523#104—1721no—
524#103—431no—
525#103—431no—
526#103—431no—
527#103—431no—
528#102—431no—
529#102—431no—
530#102—431no—
531#102—431no—
532C22⋊C8—861no—
533C22⋊C8—861no—
534C22⋊C8—861no—
535C22⋊C8—861no—
536#97—22no—
537#97—861no—
538C4×C8—22no—
539C4×C8—861no—
540#95—21no—
541#95—21no—
542#41—432no—
543#41—432no—
544#41—861no—
545#41—861no—
546#41—861no—
547#41—861no—
548#41—861no—
549#41—861no—
550#41—861no—
551#41—861no—
552#41—861no—
553#41—861no—
554C2×Q8—431no—
555C2×Q8—431no—
556C2×Q8—431no—
557C2×D4—431no—
558C2×D4—431no—
559C2×D4—431no—
560C2×D4—861no—
561C2×D4—861no—
562C2×D4—861no—
563C2×D4—861no—
564C2×D4—861no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—861no—
568C22×C4—861no—
569C22×C4—861no—
570C22×C4—861no—
571C22×C4—861no—
572C22×C4#1062189811yescharacteristic
573C22×C4#1062189811yescharacteristic
574C22×C4C23×D4311yescharacteristic
575Q16—862no—
576Q16—862no—
577SD16—862no—
578SD16—862no—
579SD16—862no—
580SD16—862no—
581D8—862no—
582D8—862no—
583M16—432no—
584M16—861no—
585M16—861no—
586M16—861no—
587M16—861no—
588M16—861no—
589M16—861no—
590M16—861no—
591M16—1722no—
592M16—1722no—
593M16—1722no—
594M16—1722no—
595C2×C8—21no—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—861no—
604C2×C8—861no—
605C2×C8—861no—
606C2×C8—861no—
607C2×C8—1722no—
608C2×C8—1722no—
609C2×C8—1722no—
610C2×C8—1722no—
611C2×C8C2×C4×D4311yescharacteristic
612C2×C8C2×C4×D4311yescharacteristic
613C2×C8C2×C4×D4311yescharacteristic
614C2×C8C2×C4×D4311yescharacteristic
615C2×C8C2×D17211yescharacteristic
616C2×C8C2×D17211yescharacteristic
617C2×C8C2×D17211yescharacteristic
618C2×C8C2×D17211yescharacteristic
619C4⋊C4—431no—
620C4⋊C4—431no—
621C4⋊C4—861no—
622C4⋊C4—861no—
623C4⋊C4—861no—
624C4⋊C4—861no—
625C22⋊C4—861no—
626C22⋊C4—861no—
627C22⋊C4—861no—
628C22⋊C4—861no—
629C22⋊C4—861no—
630C22⋊C4—861no—
631C22⋊C4—861no—
632C42—21no—
633C42—21no—
634C42—21no—
635C42—861no—
636C42—861no—
637C42—861no—
638C42C2×C4×D4311yescharacteristic
639C42C2×C4×D4311yescharacteristic
640C42C2×D17211yescharacteristic
641C42C2×D17211yescharacteristic
642C42D4×D4312yes—
643C23—861no—
644C23—861no—
645C23—861no—
646C23C2×#1062189811yescharacteristic
647Q8—432no—
648Q8—861no—
649Q8—861no—
650Q8—861no—
651Q8—861no—
652Q8—861no—
653D4—432no—
654D4—862no—
655D4—862no—
656D4—861no—
657D4—861no—
658D4—861no—
659D4—861no—
660D4—861no—
661D4—3441no—
662D4—1722no—
663D4—1721no—
664D4—1721no—
665D4—1721no—
666D4—1721no—
667C2×C4—22no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—861no—
676C2×C4—862no—
677C2×C4—862no—
678C2×C4—861no—
679C2×C4—861no—
680C2×C4—861no—
681C2×C4—861no—
682C2×C4—3441no—
683C2×C4—1722no—
684C2×C4—1721no—
685C2×C4—1721no—
686C2×C4—1721no—
687C2×C4—1721no—
688C2×C4C4×D17211yescharacteristic
689C2×C4C4×D17211yescharacteristic
690C2×C4C4×D17211yescharacteristic
691C2×C4C4×D17211yescharacteristic
692C2×C4C22×C4×D4311yescharacteristic
693C2×C4C2×D4×D4311yescharacteristic
694C2×C4C22×D17211yescharacteristic
695C2×C4#41×D4311yescharacteristic
696C2×C4#1306337111yescharacteristic
697C2×C4#1306337311yescharacteristic
698C8—21no—
699C8—21no—
700C8—21no—
701C8—21no—
702C8—21no—
703C8—21no—
704C8—21no—
705C8—21no—
706C8—862no—
707C8—1721no—
708C8—1721no—
709C8—1721no—
710C22—21no—
711C22—21no—
712C22—862no—
713C22—1721no—
714C22—1721no—
715C22—1721no—
716C22—1721no—
717C22—1721no—
718C22—1721no—
719C22—1721no—
720C22—1721no—
721C22C2×C4×D17211yescharacteristic
722C22#1458355011yescharacteristic
723C22#1458359311yescharacteristic
724C4—21no—
725C4—21no—
726C4—21no—
727C4—21no—
728C4—42no—
729C4—81no—
730C4—862no—
731C4—1721no—
732C4—1721no—
733C4—1721no—
734C4—1721no—
735C4C4×D4×D4311yescharacteristic
736C4#1458338111yescharacteristic
737C4D4×D17211yescharacteristic
738C4#1458356111yescharacteristic
739C2—21no—
740C2—21no—
741C2—3441no—
742C2—3441no—
743C2—1722no—
744C2#1913761311yescharacteristic
745C2#1914349911yescharacteristic
746C2#1914351311yescharacteristic
subgroupG/H
centerC2×C4C22×D172
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1768C2
socleC22×C43C2×C4×D4
prime radical#19144052C2
cosocleC22×C4×C43C24
hypercenter#1768D43
hypocenterC43#23017
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C4⋊C8 ◁ #1768

Complements

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

NH ≅ G/Ntype
2. C2×#14583022C2semidirect
3. C2×#14583017C2semidirect
4. #19143338C2semidirect
5. #19143160C2semidirect
6. #19135427C2semidirect
7. #19135371C2semidirect
8. #19135306C2semidirect
9. #19135299C2semidirect
10. #19134921C2semidirect
11. #19134921C2semidirect
12. #19134873C2semidirect
13. #19134873C2semidirect
14. #19134406C2semidirect
15. C43×#1768C2semidirect
24. #14583122C4semidirect
25. #14583122C4semidirect
26. #14583115C4semidirect
27. #14583115C4semidirect
28. #14583110C4semidirect
29. #14583105C4semidirect
30. #14583100C4semidirect
31. #14583095C4semidirect
134. #13063253D4semidirect
379. #1768D43semidirect
442. C43#23017semidirect

Maximal subgroups

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

subgroupindex
#191440522
C2×#145830222
C2×#145830172
#191433382
#191431602
#191354272
#191353712
#191353062
#191352992
#191349212
#191348732
#191344062
C43×#17682
#2301743