Finite Group Databasebeta

← #25113485

Subgroups — #25113485

Order 11008.

1118 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583634C211yesmaximal, characteristic
2#19137552C211yesmaximal, characteristic, complemented
3#19135525C211yesmaximal, characteristic, complemented
4#19135525C211yesmaximal, characteristic, complemented
5#19135521C211yesmaximal, characteristic
6#19135419C211yesmaximal, characteristic
7#19135411C211yesmaximal, characteristic, complemented
8#19135406C211yesmaximal, characteristic, complemented
9#19134611C211yesmaximal, characteristic, complemented
10#19134606C211yesmaximal, characteristic, complemented
11#19134596C211yesmaximal, characteristic, complemented
12#19134426C211yesmaximal, characteristic, complemented
13#19134421C211yesmaximal, characteristic, complemented
14C4×#13063247C211yesmaximal, characteristic, complemented
15C2×C43×#446C211yesmaximal, characteristic, complemented
16#14583634—24no—
17#14583634C418yescomplemented
18C2×#13063322C2211yescharacteristic
19C2×#13063314—21no—
20C2×#13063313C2211yescharacteristic
21C2×#13063313C2211yescharacteristic
22C2×#13063310—21no—
23C2×#13063310—21no—
24C2×C4×Dic86C2211yescharacteristic
25C2×C4×D172C2211yescharacteristic
26C2×C4×D172C2211yescharacteristic
27C2×#13063287—21no—
28C2×#13063250C2211yescharacteristic
29C2×#13063250C2211yescharacteristic
30C2×#13063250C2211yescharacteristic
31C2×#13063250C2211yescharacteristic
32C2×#13063247C2211yescharacteristic
33C2×#13063247C2211yescharacteristic
34C2×#13063247C2211yescharacteristic
35C2×#13063247C2211yescharacteristic
36C2×#13063247C2211yescharacteristic
37C2×#13063247C2211yescharacteristic
38C2×#13063247C2211yescharacteristic
39C2×#13063247C2211yescharacteristic
40#14582806—21no—
41#14582785—21no—
42#14582785—21no—
43#14582769C2211yescharacteristic
44#14582765C2211yescharacteristic
45#14582765C2211yescharacteristic
46C4⋊C4×Dic43—21no—
47C4×C4⋊Dic43C2211yescharacteristic
48C4×C4⋊Dic43C2211yescharacteristic
49C4×C4⋊Dic43C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582662C2211yescharacteristic
54C2×C4×Q8×C43C2211yescharacteristic
55C43×#446—24no—
56C2×C4⋊C8×C43C2211yescharacteristic
57C2×C4⋊C8×C43C2211yescharacteristic
58C2×C4⋊C8×C43C2211yescharacteristic
59C2×#97×C43C2211yescharacteristic
60C2×#97×C43C2211yescharacteristic
61C2×C4×C8×C43C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C22×D172—21no—
64C22×D172—21no—
65C22×D172C2311yescharacteristic
66C22×D172C2311yescharacteristic
67C22×C4×D43—21no—
68C22×C4×D43—21no—
69#13063322—22no—
70#13063322C2×C414yes—
71#13063314—28no—
72#13063313—22no—
73#13063313—22no—
74#13063313C2×C414yes—
75#13063313C2×C414yes—
76#13063310—28no—
77#13063310—28no—
78C4×Dic86—22no—
79C4×Dic86C2×C414yes—
80C4×D172—22no—
81C4×D172—22no—
82C4×D172C2×C414yes—
83C4×D172C2×C414yes—
84#13063287—28no—
85C2×C4⋊Dic43—21no—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×C4⋊Dic43C2311yescharacteristic
92C2×Dic43⋊C4—21no—
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×C4×Dic43—21no—
100C2×C4×Dic43—21no—
101C2×C4×Dic43—21no—
102C2×C4×Dic43—21no—
103#13063250—22no—
104#13063250—22no—
105#13063250—41no—
106#13063250—41no—
107#13063247—22no—
108#13063247—22no—
109#13063247—22no—
110#13063247—22no—
111#13063247—41no—
112#13063247—41no—
113#13063247—41no—
114#13063247—41no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C22×Q8×C43D411yescharacteristic
123C22×C8×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C4×Q8×C43C2×C414yes—
128C4×Q8×C43D414yes—
129C2×C4⋊C4×C43D411yescharacteristic
130C2×C4⋊C4×C43D411yescharacteristic
131C2×C4⋊C4×C43D411yescharacteristic
132C2×C42×C43C2311yescharacteristic
133C2×C42×C43C2311yescharacteristic
134C2×C42×C43C2311yescharacteristic
135C4⋊C8×C43—22no—
136C4⋊C8×C43—22no—
137C4⋊C8×C43—22no—
138#97×C43—22no—
139#97×C43—22no—
140C4×C8×C43—22no—
141C23×D43—21no—
142C23×D43—21no—
143C2×Q8×C43—41no—
144C2×Q8×C43—41no—
145C2×Q8×C43C22⋊C414yes—
146C22×C4×C43C2×D411yescharacteristic
147C22×C4×C43C2×D411yescharacteristic
148C22×C4×C43C2×D411yescharacteristic
149C22×C4×C43C2×D411yescharacteristic
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2411yescharacteristic
153C22×Dic43—21no—
154C22×Dic43—21no—
155C22×Dic43—21no—
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—21no—
159C2×D172—24no—
160C2×D172—21no—
161C2×D172—21no—
162C2×D172—24no—
163C2×D172—21no—
164C2×D172—21no—
165C2×D172—21no—
166C2×D172—21no—
167C2×D172—21no—
168C2×D172—21no—
169C2×D172—21no—
170C2×D172—21no—
171C2×D172—42no—
172C2×D172—42no—
173C2×D172—81no—
174C2×D172—81no—
175C2×D172C22×C412yes—
176C2×D172C22×C412yes—
177C2×C4×D43—24no—
178C2×C4×D43—24no—
179C2×C4×D43—81no—
180C2×C4×D43—81no—
181C2×C4×D43—81no—
182C2×C4×D43—81no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86C22×C412yes—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
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#4112yes—
201C4⋊C4×C43C22⋊C414yes—
202C4⋊C4×C43C22⋊C414yes—
203C4⋊C4×C43C22⋊C414yes—
204C42×C43C22×C412yes—
205C42×C43C22×C412yes—
206C42×C43C22×C412yes—
207C42×C43C2×D412yes—
208C42×C43C2×D412yes—
209C42×C43C2×D412yes—
210(C2×D43)⋊C4—24no—
211(C2×D43)⋊C4—24no—
212(C2×D43)⋊C4—24no—
213(C2×D43)⋊C4—24no—
214(C2×D43)⋊C4—24no—
215(C2×D43)⋊C4—24no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—42no—
225C4⋊Dic43—81no—
226C4⋊Dic43C22×C412yes—
227C4⋊Dic43#4112yes—
228Dic43⋊C4—24no—
229C4×Dic43—24no—
230C4×Dic43—42no—
231C4×Dic43—81no—
232C4×Dic43—81no—
233C23×C43C22×D411yescharacteristic
234C22×D43—22no—
235C22×D43—22no—
236C22×D43—41no—
237C22×D43—41no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248Q8×C43—44no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43C2×C22⋊C412yes—
262C2×C4×C43C2×C22⋊C412yes—
263C2×C4×C43C2×C22⋊C412yes—
264C2×C4×C43C2×C22⋊C412yes—
265C2×C4×C43C2×C22⋊C412yes—
266C2×C4×C43C2×C22⋊C412yes—
267C2×C4×C43C23×C411yescharacteristic
268C2×C4×C43C22×D411yescharacteristic
269C2×C4×C43C2×#4111yescharacteristic
270C2×C4×C43C2×#4111yescharacteristic
271C2×C4×C43H(5,𝔽2)11yescharacteristic
272C2×C4×C432−1+411yescharacteristic
273C2×Dic43—22no—
274C2×Dic43—22no—
275C2×Dic43—22no—
276C2×Dic43—41no—
277C2×Dic43—41no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291D172—22no—
292D172—22no—
293D172—22no—
294D172—22no—
295D172—48no—
296D172—41no—
297D172—41no—
298D172—41no—
299D172—41no—
300D172—84no—
301C4×D43—84no—
302C4×D43—84no—
303Dic86—22no—
304Dic86—22no—
305Dic86—41no—
306Dic86—41no—
307C8×C43—22no—
308C8×C43—41no—
309C8×C43—41no—
310C8×C43—41no—
311#22549—431nomaximal, Sylow
312C22×C43C22×C22⋊C411yescharacteristic
313C22×C43#54811yescharacteristic
314C22×C43#55011yescharacteristic
315C22×C43#57511yescharacteristic
316C22×C43#57511yescharacteristic
317C22×C43#57611yescharacteristic
318C22×C43#57711yescharacteristic
319C2×D43—42no—
320C2×D43—42no—
321C2×D43—42no—
322C2×D43—42no—
323C2×D43—42no—
324C2×D43—42no—
325C2×D43—81no—
326C2×D43—81no—
327C2×D43—81no—
328C2×D43—81no—
329C2×D43—81no—
330C2×D43—81no—
331C2×D43—81no—
332C2×D43—81no—
333C4×C43—22no—
334C4×C43—22no—
335C4×C43—22no—
336C4×C43—22no—
337C4×C43—22no—
338C4×C43—22no—
339C4×C43C4×#4111yescharacteristic
340C4×C43#52011yescharacteristic
341C4×C43#54811yescharacteristic
342C4×C43#55011yescharacteristic
343Dic43—42no—
344Dic43—42no—
345Dic43—42no—
346Dic43—81no—
347Dic43—81no—
348Dic43—81no—
349C2×#559—431no—
350C2×#446D4311yescharacteristic, complemented
351#2355—431no—
352#1983—431no—
353#1983—431no—
354#1982—431no—
355#1961—431no—
356#1959—431no—
357#1958—431no—
358#1805—431no—
359#1804—431no—
360#1802—431no—
361#1763—431no—
362#1762—431no—
363C4×#102—431no—
364C2×C43#234111yescharacteristic
365C2×C43#289611yescharacteristic
366C2×C43#289711yescharacteristic
367C2×C43#337011yescharacteristic
368C2×C43#337111yescharacteristic
369C2×C43#340111yescharacteristic
370C2×C43#340311yescharacteristic
371D43—82no—
372D43—82no—
373#559—438no—
374#559—864no—
375C2×#127—431no—
376C2×#124—431no—
377C2×#124—431no—
378C2×#124—861no—
379C2×#123—861no—
380C2×#123—861no—
381C2×C4×Q8—431no—
382C2×C4×Q8C2×D4311yescharacteristic
383C2×C4×D4—431no—
384C2×C4×D4—431no—
385C2×C4×D4—861no—
386#446—24no—
387C2×C4⋊C8C2×D4311yescharacteristic
388C2×C4⋊C8C2×D4311yescharacteristic
389C2×C4⋊C8C2×D4311yescharacteristic
390C2×#103—431no—
391C2×#103—431no—
392C2×#103—431no—
393C2×#103—431no—
394C2×#102—431no—
395C2×#102—431no—
396C2×#102—431no—
397C2×#102—431no—
398C2×#102—431no—
399C2×#102—431no—
400C2×#102—431no—
401C2×#102—431no—
402C2×#97C2×D4311yescharacteristic
403C2×#97C2×D4311yescharacteristic
404C2×C4×C8C2×D4311yescharacteristic
405#391—861no—
406#387—861no—
407#387—861no—
408#384—431no—
409#382—431no—
410#382—431no—
411C4×C4⋊C4—431no—
412C4×C4⋊C4—431no—
413C4×C4⋊C4—431no—
414C4×C4⋊C4—861no—
415#340—431no—
416#340—431no—
417#340—431no—
418#340—431no—
419C43#2254911yescharacteristic, complemented, Sylow
420C22×Q8—431no—
421C22×Q8D17211yescharacteristic
422C22×D4—431no—
423C22×D4—431no—
424C22×D4—861no—
425C22×D4—861no—
426C23×C4—861no—
427C23×C4—861no—
428C22×C8C22×D4311yescharacteristic
429C22×C8C22×D4311yescharacteristic
430C22×C8C22×D4311yescharacteristic
431C22×C8C22×D4311yescharacteristic
432#127—434no—
433#127—862no—
434#124—434no—
435#124—434no—
436#124—868no—
437#124—862no—
438#124—862no—
439#123—868no—
440#123—868no—
441C4×Q8—434no—
442C4×Q8—862no—
443C4×Q8C4×D4314yes—
444C4×Q8C22⋊D4314yes—
445C4×D4—434no—
446C4×D4—434no—
447C4×D4—868no—
448C4×D4—862no—
449C4×D4—862no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—861no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4D17211yescharacteristic
459C2×C4⋊C4D17211yescharacteristic
460C2×C4⋊C4D17211yescharacteristic
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C42—861no—
468C2×C42—861no—
469C2×C42—861no—
470C2×C42—861no—
471C2×C42C22×D4311yescharacteristic
472C2×C42C22×D4311yescharacteristic
473C2×C42C22×D4311yescharacteristic
474C4⋊C8—22no—
475C4⋊C8—22no—
476C4⋊C8—22no—
477#103—862no—
478#103—862no—
479#103—1721no—
480#103—1721no—
481#102—862no—
482#102—862no—
483#102—862no—
484#102—862no—
485#102—1721no—
486#102—1721no—
487#102—1721no—
488#102—1721no—
489#97—22no—
490#97—22no—
491C4×C8—22no—
492#95—861no—
493#95—861no—
494#95—861no—
495#95—861no—
496#95—861no—
497#95—861no—
498#95—861no—
499C24—861no—
500C24—861no—
501C2×Q8—41no—
502C2×Q8—41no—
503C2×Q8—432no—
504C2×Q8—861no—
505C2×Q8—861no—
506C2×Q8—861no—
507C2×Q8—861no—
508C2×Q8—861no—
509C2×Q8(C2×D43)⋊C414yes—
510C2×D4—432no—
511C2×D4—432no—
512C2×D4—864no—
513C2×D4—864no—
514C2×D4—861no—
515C2×D4—861no—
516C2×D4—861no—
517C2×D4—861no—
518C2×D4—861no—
519C2×D4—861no—
520C2×D4—861no—
521C2×D4—861no—
522C2×D4—861no—
523C2×D4—861no—
524C2×D4—3441no—
525C2×D4—3441no—
526C2×D4—1722no—
527C2×D4—1722no—
528C22×C4—861no—
529C22×C4—861no—
530C22×C4—861no—
531C22×C4—864no—
532C22×C4—864no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—3441no—
537C22×C4—3441no—
538C22×C4—3441no—
539C22×C4—3441no—
540C22×C4C2×D17211yescharacteristic
541C22×C4C2×D17211yescharacteristic
542C22×C4C2×D17211yescharacteristic
543C22×C4C2×D17211yescharacteristic
544C22×C4C2×D17211yescharacteristic
545C22×C4C2×D17211yescharacteristic
546C22×C4C23×D4311yescharacteristic
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8#1062190212yes—
559C4⋊C4—432no—
560C4⋊C4—432no—
561C4⋊C4—864no—
562C4⋊C4—861no—
563C4⋊C4—861no—
564C4⋊C4—861no—
565C4⋊C4—861no—
566C4⋊C4—861no—
567C4⋊C4—861no—
568C4⋊C4—861no—
569C4⋊C4—861no—
570C4⋊C4—3441no—
571C4⋊C4—1722no—
572C4⋊C4(C2×D43)⋊C414yes—
573C4⋊C4(C2×D43)⋊C414yes—
574C4⋊C4(C2×D43)⋊C414yes—
575C22⋊C4—864no—
576C22⋊C4—864no—
577C22⋊C4—864no—
578C22⋊C4—864no—
579C22⋊C4—864no—
580C22⋊C4—864no—
581C42—864no—
582C42—3441no—
583C42—3441no—
584C42—1722no—
585C42C2×C4×D4312yes—
586C42C2×C4×D4312yes—
587C42C2×C4×D4312yes—
588C42C2×C22⋊D4312yes—
589C42C2×C22⋊D4312yes—
590C42C2×C22⋊D4312yes—
591C23—862no—
592C23—862no—
593C23—1721no—
594C23—1721no—
595C23—1721no—
596C23—1721no—
597C23—1721no—
598C23—1721no—
599C23—1721no—
600C23—1721no—
601C23—1721no—
602C23—1721no—
603C23—1721no—
604C23—1721no—
605C23C22×D17211yescharacteristic
606Q8—44no—
607Q8—862no—
608Q8—862no—
609Q8—1721no—
610Q8—1721no—
611D4—862no—
612D4—862no—
613D4—862no—
614D4—862no—
615D4—3444no—
616D4—1728no—
617D4—1721no—
618D4—1721no—
619D4—1721no—
620D4—1721no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—862no—
634C2×C4—862no—
635C2×C4—862no—
636C2×C4—3444no—
637C2×C4—3444no—
638C2×C4—1721no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4C2×(C2×D43)⋊C412yes—
654C2×C4C2×(C2×D43)⋊C412yes—
655C2×C4C2×(C2×D43)⋊C412yes—
656C2×C4C2×(C2×D43)⋊C412yes—
657C2×C4C2×(C2×D43)⋊C412yes—
658C2×C4C2×(C2×D43)⋊C412yes—
659C2×C4C22×C4×D4311yescharacteristic
660C2×C4C22×C22⋊D4311yescharacteristic
661C2×C4#41×D4311yescharacteristic
662C2×C4C2×#1062190211yescharacteristic
663C2×C4#1306337111yescharacteristic
664C2×C4#1306337311yescharacteristic
665C8—22no—
666C8—41no—
667C8—41no—
668C8—41no—
669C22—3441no—
670C22—3441no—
671C22—3441no—
672C22—3441no—
673C22—3441no—
674C22—3441no—
675C22—3441no—
676C22—3441no—
677C22—1722no—
678C22—1722no—
679C22—1722no—
680C22—1722no—
681C22—1722no—
682C22—1722no—
683C22C22×(C2×D43)⋊C411yescharacteristic
684C22#1458356111yescharacteristic
685C22#1458357111yescharacteristic
686C22#1458369911yescharacteristic
687C22#1458369911yescharacteristic
688C22#1458370411yescharacteristic
689C22#1458371111yescharacteristic
690C4—22no—
691C4—22no—
692C4—22no—
693C4—22no—
694C4—22no—
695C4—22no—
696C4—3441no—
697C4—3441no—
698C4—3441no—
699C4—1722no—
700C4—1722no—
701C4—1722no—
702C4C4×#1062190211yescharacteristic
703C4#1458338111yescharacteristic
704C4#1458356011yescharacteristic
705C4#1458356811yescharacteristic
706C2—3442no—
707C2—3442no—
708C2#1913743311yescharacteristic
709C2#1914311511yescharacteristic
710C2#1914312211yescharacteristic
711C2#1914735011yescharacteristic
712C2#1914736511yescharacteristic
713C2#1914766311yescharacteristic
714C2#1914768511yescharacteristic
subgroupG/H
centerC23C22×D172
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#446C2
socleC23×C43C22×D4
prime radicalC2×#13063322C22
cosocleC22×C4×C43C24
hypercenterC2×#446D43
hypocenterC43#22549
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
2. #19137552C2semidirect
3. #19135525C2semidirect
4. #19135525C2semidirect
7. #19135411C2semidirect
8. #19135406C2semidirect
9. #19134611C2semidirect
10. #19134606C2semidirect
11. #19134596C2semidirect
12. #19134426C2semidirect
13. #19134421C2semidirect
14. C4×#13063247C2semidirect
15. C2×C43×#446C2semidirect
17. #14583634C4semidirect
350. C2×#446D43semidirect
419. C43#22549semidirect

Maximal subgroups

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

subgroupindex
C2×#145836342
#191375522
#191355252
#191355212
#191354192
#191354112
#191354062
#191346112
#191346062
#191345962
#191344262
#191344212
C4×#130632472
C2×C43×#4462
#2254943