Finite Group Databasebeta

← #25157178

Subgroups — #25157178

Order 11008.

944 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
1#19138029C211yesmaximal, characteristic
2#19137491C211yesmaximal, characteristic, complemented
3#19136156C211yesmaximal, characteristic, complemented
4#19136019C211yesmaximal, characteristic, complemented
5#19136002C211yesmaximal, characteristic, complemented
6#19135779C211yesmaximal, characteristic, complemented
7#19135214C211yesmaximal, characteristic, complemented
8#19135168C211yesmaximal, characteristic, complemented
9#19135021C211yesmaximal, characteristic, complemented
10#19134911C211yesmaximal, characteristic, complemented
11#19134910C211yesmaximal, characteristic, complemented
12#19134885C211yesmaximal, characteristic, complemented
13#19134680C211yesmaximal, characteristic, complemented
14C2×#14582661C211yesmaximal, characteristic, complemented
15C43×#1852C211yesmaximal, characteristic, complemented
16C23×C43⋊C8C2211yescharacteristic
17C2×#13063300C2211yescharacteristic
18C2×#13063299—21no—
19C2×#13063299C2211yescharacteristic
20C2×C4×C22⋊D43C2211yescharacteristic
21C2×(C22⋊D43)⋊C4—21no—
22C22×C4⋊Dic43C2211yescharacteristic
23C2×C4⋊C4×D43C2211yescharacteristic
24C2×#13063247C2211yescharacteristic
25C2×#13063247C2211yescharacteristic
26C2×#13063245C2211yescharacteristic
27C2×#13063245C2211yescharacteristic
28C2×(C2×D43)⋊C8C2211yescharacteristic
29C2×(C2×D43)⋊C8C2211yescharacteristic
30#14582821—21no—
31#14582816—21no—
32#14582800C2211yescharacteristic
33#14582798C2211yescharacteristic
34#14582796—21no—
35#14582778—21no—
36#14582773—21no—
37#14582771—21no—
38#14582768C2211yescharacteristic
39#14582756C2211yescharacteristic
40#14582756C2211yescharacteristic
41C4⋊C4×Dic43C2211yescharacteristic
42#14582662C2211yescharacteristic
43#14582662C2211yescharacteristic
44#14582661C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582653C2211yescharacteristic
51#14582653C2211yescharacteristic
52C22×C4⋊C4×C43C2211yescharacteristic
53C2×#107×C43C2211yescharacteristic
54C2×#107×C43C2211yescharacteristic
55C2×C22⋊C8×C43C2211yescharacteristic
56C43×#380C2211yescharacteristic
57C43×#340C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C22×D172—21no—
60C22×D172C2311yescharacteristic
61C22×C22⋊D43—21no—
62C22×C22⋊D43D411yescharacteristic
63C23×Dic43—21no—
64C22×C4×D43—21no—
65C22×C4×D43C2311yescharacteristic
66C22×C43⋊C8—22no—
67C22×C43⋊C8—41no—
68C22×C43⋊C8—41no—
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71#13063300—22no—
72#13063300—41no—
73#13063299—22no—
74#13063299—22no—
75#13063299—44no—
76C4×C22⋊D43—22no—
77C4×C22⋊D43—22no—
78(C22⋊D43)⋊C4—44no—
79C2×C4⋊Dic43—22no—
80C2×C4⋊Dic43—21no—
81C2×C4⋊Dic43—21no—
82C2×C4⋊Dic43—41no—
83C2×C4⋊Dic43C2311yescharacteristic
84C2×C4⋊Dic43C2311yescharacteristic
85C2×C4⋊Dic43C2311yescharacteristic
86C2×Dic43⋊C4—21no—
87C2×Dic43⋊C4—21no—
88C2×Dic43⋊C4—21no—
89C2×Dic43⋊C4D411yescharacteristic
90C4⋊C4×D43—22no—
91C4⋊C4×D43—41no—
92C2×C22⋊Dic43D411yescharacteristic
93C2×(C2×D43)⋊C4—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4D411yescharacteristic
100C2×C4×Dic43—21no—
101C2×C4×Dic43C2311yescharacteristic
102#13063247—22no—
103#13063247—41no—
104#13063245—41no—
105#13063245—41no—
106(C2×D43)⋊C8—41no—
107(C2×D43)⋊C8—41no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C23×C4×C43—21no—
113C23×C4×C43C2311yescharacteristic
114C22×C8×C43C2311yescharacteristic
115C22×C8×C43C2311yescharacteristic
116C2×C4⋊C4×C43—22no—
117C2×C4⋊C4×C43—21no—
118C2×C4⋊C4×C43—41no—
119C2×C4⋊C4×C43C2311yescharacteristic
120C2×C4⋊C4×C43C2311yescharacteristic
121C2×C4⋊C4×C43C2311yescharacteristic
122C2×C4⋊C4×C43C2311yescharacteristic
123C2×C22⋊C4×C43—21no—
124#107×C43—22no—
125#107×C43—41no—
126C22⋊C8×C43—22no—
127#95×C43—21no—
128C24×C43C2×D411yescharacteristic
129C23×D43—21no—
130C23×D43C2×D411yescharacteristic
131C22×C4×C43—21no—
132C22×C4×C43—21no—
133C22×C4×C43—21no—
134C22×C4×C43—21no—
135C22×C4×C43—21no—
136C22×C4×C43—21no—
137C22×C4×C43—21no—
138C22×C4×C43—21no—
139C22×C4×C43—42no—
140C22×C4×C43—42no—
141C22×C4×C43—81no—
142C22×C4×C43C2×D411yescharacteristic
143C22×C4×C43#4112yes—
144C22×C4×C43#4112yes—
145C22×C4×C43C2411yescharacteristic
146C2×C22⋊D43—22no—
147C2×C22⋊D43—22no—
148C2×C22⋊D43—42no—
149C2×C22⋊D43—42no—
150C2×C22⋊D43—42no—
151C2×C22⋊D43D814yes—
152C22×Dic43—21no—
153C22×Dic43—21no—
154C22×Dic43—21no—
155C22×Dic43—42no—
156C22×Dic43—42no—
157C22×Dic43—81no—
158C22×Dic43C2×D411yescharacteristic
159C22×Dic43C2×D411yescharacteristic
160C22×Dic43C2×D411yescharacteristic
161C2×D172—21no—
162C2×D172—21no—
163C2×D172—21no—
164C2×D172—21no—
165C2×D172—21no—
166C2×D172—21no—
167C2×D172—42no—
168C2×D172—42no—
169C2×D172—81no—
170C2×C4×D43—21no—
171C2×C4×D43—21no—
172C2×C4×D43—21no—
173C2×C4×D43—21no—
174C2×C4×D43—21no—
175C2×C4×D43—21no—
176C2×C4×D43—42no—
177C2×C4×D43—42no—
178C2×C4×D43—81no—
179C2×C8×C43—21no—
180C2×C8×C43—21no—
181C2×C8×C43—21no—
182C2×C8×C43—21no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C4⋊C4×C43—21no—
186C4⋊C4×C43—21no—
187C4⋊C4×C43—21no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—42no—
193C4⋊C4×C43#4112yes—
194C22⋊C4×C43—42no—
195C22⋊Dic43—22no—
196(C2×D43)⋊C4—22no—
197(C2×D43)⋊C4—42no—
198(C2×D43)⋊C4—42no—
199(C2×D43)⋊C4—42no—
200(C2×D43)⋊C4—42no—
201(C2×D43)⋊C4—42no—
202(C2×D43)⋊C4—81no—
203C4⋊Dic43—21no—
204C4⋊Dic43—21no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—42no—
209C4⋊Dic43—42no—
210C4⋊Dic43#4112yes—
211Dic43⋊C4—22no—
212Dic43⋊C4—42no—
213Dic43⋊C4—42no—
214Dic43⋊C4—81no—
215C4×Dic43—21no—
216C4×Dic43—21no—
217C4×Dic43—42no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—44no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—21no—
229C23×C43#12312yes—
230C23×C43C2×D812yes—
231C23×C43#13712yes—
232C23×C43C22×D411yescharacteristic
233C22×D43—21no—
234C22×D43—21no—
235C22×D43—21no—
236C22×D43—21no—
237C22×D43—21no—
238C22×D43—21no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43C2×D812yes—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
249C2×C4×C43—22no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—84no—
266C2×C4×C43#12312yes—
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C2×C4×C43C2×#4111yescharacteristic
270C2×C4×C43C2×#4111yescharacteristic
271C2×C4×C43H(5,𝔽2)11yescharacteristic
272C2×C4×C43H(5,𝔽2)11yescharacteristic
273C22⋊D43—28no—
274C22⋊D43—84no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—22no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—84no—
293C2×Dic43C2×D812yes—
294D172—41no—
295D172—41no—
296D172—41no—
297D172—41no—
298D172—84no—
299C4×D43—41no—
300C4×D43—41no—
301C4×D43—41no—
302C4×D43—41no—
303C4×D43—84no—
304C8×C43—41no—
305C8×C43—41no—
306C43⋊C8—41no—
307C43⋊C8—41no—
308#26198—431nomaximal, Sylow
309C22×C43—22no—
310C22×C43—22no—
311C22×C43—22no—
312C22×C43—22no—
313C22×C43—22no—
314C22×C43—22no—
315C22×C43#48014yes—
316C22×C43C2×#12311yescharacteristic
317C22×C43#54611yescharacteristic
318C22×C43#54611yescharacteristic
319C22×C43C22×D811yescharacteristic
320C22×C43C2×#13711yescharacteristic
321C22×C43#57711yescharacteristic
322C22×C43#57711yescharacteristic
323C2×D43—22no—
324C2×D43—22no—
325C2×D43—22no—
326C2×D43—41no—
327C2×D43—41no—
328C2×D43—41no—
329C2×D43—41no—
330C2×D43—81no—
331C2×D43—81no—
332C2×D43—81no—
333C2×D43—81no—
334C2×D43—81no—
335C2×D43—81no—
336C2×D43—81no—
337C4×C43—22no—
338C4×C43—42no—
339C4×C43—81no—
340C4×C43—81no—
341C4×C43—81no—
342C4×C43#52911yescharacteristic
343C4×C43#53811yescharacteristic
344C4×C43#55311yescharacteristic
345C4×C43#55311yescharacteristic
346Dic43—22no—
347Dic43—41no—
348Dic43—41no—
349Dic43—42no—
350Dic43—81no—
351Dic43—81no—
352#2416—431no—
353D4×C4⋊C4—431no—
354#2099—431no—
355#2075—431no—
356#2071—431no—
357#2033—431no—
358#1925—431no—
359#1918—431no—
360#1893—431no—
361#1874—431no—
362#1874—431no—
363#1869—431no—
364#1852D4311yescharacteristic, complemented
365#1823—431no—
366C2×#340—431no—
367C2×C43—24no—
368C2×C43#244411yescharacteristic
369C2×C43C2×#48011yescharacteristic
370C2×C43#309911yescharacteristic
371C2×C43#329411yescharacteristic
372C2×C43#329411yescharacteristic
373C2×C43#331611yescharacteristic
374C2×C43#332011yescharacteristic
375D43—42no—
376D43—161no—
377C23×C8—431no—
378C2×#121—431no—
379C2×#121—431no—
380C2×#121—861no—
381C2×C4×D4—431no—
382C2×C4×D4—861no—
383C22×C4⋊C4—431no—
384C22×C4⋊C4—431no—
385C22×C4⋊C4C2×D4311yescharacteristic
386C2×#107C2×D4311yescharacteristic
387C2×#107C2×D4311yescharacteristic
388C2×#102—431no—
389C2×#102—431no—
390C2×#102—431no—
391C2×#102—431no—
392C2×C22⋊C8—431no—
393C2×C22⋊C8—431no—
394C2×C22⋊C8C2×D4311yescharacteristic
395#396—861no—
396#394—861no—
397#390—431no—
398#389—431no—
399#389—861no—
400#386—861no—
401#385—861no—
402#385—861no—
403#384—431no—
404#380—431no—
405#380—431no—
406#380C2×D4311yescharacteristic
407C4×C4⋊C4—431no—
408#340—431no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#340—431no—
414#340—431no—
415#340—431no—
416#340C2×D4311yescharacteristic
417#340C2×D4311yescharacteristic
418#336—431no—
419#336—431no—
420C43#2619811yescharacteristic, complemented, Sylow
421C22×D4—431no—
422C22×D4—431no—
423C22×D4—861no—
424C22×D4—861no—
425C23×C4—21no—
426C23×C4—431no—
427C23×C4—861no—
428C23×C4—861no—
429C23×C4C22×D4311yescharacteristic
430C22×C8—431no—
431C22×C8—431no—
432C22×C8—862no—
433C22×C8—1721no—
434C22×C8—1721no—
435C22×C8C22×D4311yescharacteristic
436C22×C8C22×D4311yescharacteristic
437#121—862no—
438#121—862no—
439#121—862no—
440#121—1721no—
441#121—1724no—
442C4×D4—862no—
443C4×D4—862no—
444C4×D4—1724no—
445C2×C4⋊C4—22no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—41no—
448C2×C4⋊C4—431no—
449C2×C4⋊C4—431no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—862no—
453C2×C4⋊C4—862no—
454C2×C4⋊C4—861no—
455C2×C4⋊C4—861no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—1721no—
460C2×C4⋊C4—1721no—
461C2×C4⋊C4C22×D4311yescharacteristic
462C2×C4⋊C4C22×D4311yescharacteristic
463C2×C4⋊C4C22×D4311yescharacteristic
464C2×C4⋊C4C22×D4311yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—431no—
467C2×C22⋊C4—431no—
468C2×C22⋊C4—861no—
469C2×C22⋊C4—861no—
470C2×C22⋊C4—861no—
471C2×C22⋊C4—861no—
472C2×C22⋊C4—861no—
473C2×C22⋊C4—861no—
474C2×C42—431no—
475C2×C42—861no—
476#107—22no—
477#107—41no—
478#102—862no—
479#102—1721no—
480#102—1721no—
481#102—1721no—
482C22⋊C8—22no—
483C22⋊C8—1721no—
484C22⋊C8—1721no—
485#95—21no—
486#95—861no—
487#95—861no—
488#95—861no—
489#95—861no—
490C24—431no—
491C24—861no—
492C24D4×D4311yescharacteristic
493C2×D4—434no—
494C2×D4—862no—
495C2×D4—862no—
496C2×D4—861no—
497C2×D4—861no—
498C2×D4—861no—
499C2×D4—861no—
500C2×D4—861no—
501C2×D4—861no—
502C2×D4—3441no—
503C2×D4—1722no—
504C2×D4—1722no—
505C2×D4—1722no—
506C2×D4—1722no—
507C2×D4—1722no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—81no—
519C22×C4—431no—
520C22×C4—431no—
521C22×C4—431no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4—861no—
530C22×C4—861no—
531C22×C4—3441no—
532C22×C4—3441no—
533C22×C4—1722no—
534C22×C4—1722no—
535C22×C4—1722no—
536C22×C4—1722no—
537C22×C4#1062189812yes—
538C22×C4D4×D4311yescharacteristic
539C22×C4#1062190212yes—
540C22×C4C23×D4311yescharacteristic
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8—861no—
551C2×C8—861no—
552C2×C8—861no—
553C2×C8—1724no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—42no—
562C4⋊C4—432no—
563C4⋊C4—862no—
564C4⋊C4—861no—
565C4⋊C4—861no—
566C4⋊C4—861no—
567C4⋊C4—861no—
568C4⋊C4—861no—
569C4⋊C4—3441no—
570C4⋊C4—1722no—
571C4⋊C4—1722no—
572C4⋊C4—1722no—
573C4⋊C4—1722no—
574C4⋊C4#1062190012yes—
575C22⋊C4—42no—
576C22⋊C4—862no—
577C22⋊C4—862no—
578C22⋊C4—3441no—
579C22⋊C4—1722no—
580C22⋊C4—1722no—
581C22⋊C4—1722no—
582C22⋊C4—1722no—
583C22⋊C4—1722no—
584C42—861no—
585C42—861no—
586C42—1722no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—432no—
592C23—861no—
593C23—861no—
594C23—861no—
595C23—861no—
596C23—861no—
597C23—861no—
598C23—1721no—
599C23—1721no—
600C23—1721no—
601C23—1721no—
602C23—1721no—
603C23—1721no—
604C23—1721no—
605C23#1306331012yes—
606C23D8×D4312yes—
607C23#1306335712yes—
608C23C2×D4×D4311yescharacteristic
609D4—868no—
610D4—3444no—
611D4—3444no—
612D4—1721no—
613D4—1721no—
614D4—1721no—
615D4—1721no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—84no—
635C2×C4—432no—
636C2×C4—861no—
637C2×C4—861no—
638C2×C4—861no—
639C2×C4—861no—
640C2×C4—861no—
641C2×C4—861no—
642C2×C4—861no—
643C2×C4—862no—
644C2×C4—861no—
645C2×C4—3444no—
646C2×C4—3444no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4#1306331012yes—
660C2×C4#41×D4311yescharacteristic
661C2×C4C2×#1062190011yescharacteristic
662C2×C4C2×#1062189811yescharacteristic
663C2×C4C2×#1062190211yescharacteristic
664C2×C4#1306337011yescharacteristic
665C2×C4#1306337111yescharacteristic
666C8—41no—
667C8—41no—
668C8—1721no—
669C8—1721no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—862no—
677C22—862no—
678C22—862no—
679C22—3441no—
680C22—3441no—
681C22—3441no—
682C22—3441no—
683C22—3441no—
684C22—3441no—
685C22—3441no—
686C22—1721no—
687C22—1721no—
688C22—1721no—
689C22—1721no—
690C22#1458321414yes—
691C22C2×#1306331011yescharacteristic
692C22#1458353611yescharacteristic
693C22#1458354111yescharacteristic
694C22C2×D8×D4311yescharacteristic
695C22C2×#1306335711yescharacteristic
696C22#1458370811yescharacteristic
697C22#1458370911yescharacteristic
698C4—22no—
699C4—42no—
700C4—81no—
701C4—81no—
702C4—81no—
703C4—862no—
704C4—3441no—
705C4—3441no—
706C4—1721no—
707C4—1721no—
708C4—1722no—
709C4#1458343511yescharacteristic
710C4#1458348911yescharacteristic
711C4#1458359511yescharacteristic
712C4#1458359811yescharacteristic
713C2—24no—
714C2—1722no—
715C2—6881no—
716C2#1913834911yescharacteristic
717C2C2×#1458321411yescharacteristic
718C2#1914458811yescharacteristic
719C2#1914640111yescharacteristic
720C2#1914640611yescharacteristic
721C2#1914671011yescharacteristic
722C2#1914676411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1852C2
socleC23×C43C22×D4
prime radical#19138029C2
hypercenter#1852D43
hypocenterC43#26198
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1852

Complements

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

NH ≅ G/Ntype
2. #19137491C2semidirect
3. #19136156C2semidirect
4. #19136019C2semidirect
5. #19136002C2semidirect
6. #19135779C2semidirect
7. #19135214C2semidirect
8. #19135168C2semidirect
9. #19135021C2semidirect
10. #19134911C2semidirect
11. #19134910C2semidirect
12. #19134885C2semidirect
13. #19134680C2semidirect
14. C2×#14582661C2semidirect
15. C43×#1852C2semidirect
364. #1852D43semidirect
420. C43#26198semidirect

Maximal subgroups

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

subgroupindex
#191380292
#191374912
#191361562
#191360192
#191360022
#191357792
#191352142
#191351682
#191350212
#191349112
#191349102
#191348852
#191346802
C2×#145826612
C43×#18522
#2619843