Finite Group Databasebeta

← #25138989

Subgroups — #25138989

Order 11008.

956 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
1C2×#14583157C211yesmaximal, characteristic, complemented
2C2×#14583157C211yesmaximal, characteristic, complemented
3C2×#14582941C211yesmaximal, characteristic, complemented
4#19138046C211yesmaximal, characteristic
5#19138024C211yesmaximal, characteristic
6#19135989C211yesmaximal, characteristic, complemented
7#19135975C211yesmaximal, characteristic, complemented
8#19135799C211yesmaximal, characteristic, complemented
9#19135792C211yesmaximal, characteristic, complemented
10#19135456C211yesmaximal, characteristic, complemented
11#19135323C211yesmaximal, characteristic, complemented
12#19134905C211yesmaximal, characteristic, complemented
13#19134900C211yesmaximal, characteristic, complemented
14#19134628C211yesmaximal, characteristic, complemented
15C2×C43×#436C211yesmaximal, characteristic
16C22×Dic172C2211yescharacteristic
17C2×#13063304C2211yescharacteristic
18C2×#13063304C2211yescharacteristic
19C2×#13063304C2211yescharacteristic
20C2×#13063304C2211yescharacteristic
21C2×#13063284C2211yescharacteristic
22C22×C4⋊Dic43C2211yescharacteristic
23#14583157—24no—
24#14583157—24no—
25#14582941—24no—
26C2×#13063259C2211yescharacteristic
27C2×#13063259C2211yescharacteristic
28C2×#13063257C2211yescharacteristic
29C2×#13063257C2211yescharacteristic
30C2×#13063257C2211yescharacteristic
31C2×#13063250C2211yescharacteristic
32C2×#13063250C2211yescharacteristic
33C2×#13063250C2211yescharacteristic
34C2×#13063250C2211yescharacteristic
35C2×#13063250C2211yescharacteristic
36C2×#13063250C2211yescharacteristic
37#14582832—21no—
38#14582827—21no—
39#14582822—21no—
40#14582813—21no—
41#14582805C2211yescharacteristic
42#14582805C2211yescharacteristic
43#14582797C2211yescharacteristic
44#14582797C2211yescharacteristic
45#14582794—21no—
46#14582793—21no—
47#14582779—21no—
48#14582759C2211yescharacteristic
49#14582759C2211yescharacteristic
50#14582757—21no—
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582662C2211yescharacteristic
54#14582662C2211yescharacteristic
55C22×M16×C43C2211yescharacteristic
56C22×M16×C43C2211yescharacteristic
57C2×C4×D4×C43C2211yescharacteristic
58C43×#436—24no—
59C2×C4⋊C8×C43C2211yescharacteristic
60C2×C22⋊C8×C43C2211yescharacteristic
61C2×C22⋊C8×C43C2211yescharacteristic
62C2×C4×C8×C43C2211yescharacteristic
63C22×Dic86C2311yescharacteristic
64C22×Dic86C2311yescharacteristic
65C23×Dic43—21no—
66C2×Dic172—22no—
67C2×Dic172—22no—
68C2×Dic172—22no—
69#13063304—22no—
70#13063304—22no—
71#13063304—22no—
72#13063304—22no—
73#13063304—22no—
74#13063304—22no—
75#13063304—41no—
76#13063304—41no—
77#13063284—22no—
78#13063284—41no—
79C2×C4⋊Dic43—22no—
80C2×C4⋊Dic43—21no—
81C2×C4⋊Dic43—41no—
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×C4⋊Dic43C2311yescharacteristic
85C2×C4⋊Dic43C2311yescharacteristic
86C2×C4⋊Dic43C2311yescharacteristic
87C2×C4⋊Dic43C2311yescharacteristic
88C2×Dic43⋊C4—21no—
89C2×Dic43⋊C4—21no—
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4—21no—
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4—21no—
94C2×C22⋊Dic43—21no—
95C2×C22⋊Dic43—21no—
96C2×C22⋊Dic43—21no—
97C2×C22⋊Dic43—21no—
98C2×C22⋊Dic43—21no—
99C2×C22⋊Dic43—21no—
100C2×C22⋊Dic43—21no—
101C2×C4×Dic43—21no—
102#13063259—22no—
103#13063259—22no—
104#13063257—22no—
105#13063257—22no—
106#13063257D414yescomplemented
107#13063250—22no—
108#13063250—22no—
109#13063250—22no—
110#13063250—22no—
111#13063250—41no—
112#13063250—41no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C22×D4×C43D411yescharacteristic
122C23×C4×C43C2311yescharacteristic
123C23×C4×C43C2311yescharacteristic
124C2×M16×C43—22no—
125C2×M16×C43—22no—
126C2×M16×C43—22no—
127C2×M16×C43—22no—
128C2×M16×C43—22no—
129C2×M16×C43D414yes—
130C22×C8×C43C2311yescharacteristic
131C22×C8×C43C2311yescharacteristic
132C22×C8×C43C2311yescharacteristic
133C22×C8×C43C2311yescharacteristic
134C4×D4×C43—22no—
135C4×D4×C43—22no—
136C2×C4⋊C4×C43D411yescharacteristic
137C2×C22⋊C4×C43D411yescharacteristic
138C2×C22⋊C4×C43D411yescharacteristic
139C2×C42×C43C2311yescharacteristic
140C4⋊C8×C43—22no—
141C22⋊C8×C43—22no—
142C22⋊C8×C43—22no—
143C4×C8×C43—22no—
144C24×C43C2×D411yescharacteristic
145C24×C43C2×D411yescharacteristic
146C2×D4×C43—22no—
147C2×D4×C43—22no—
148C2×D4×C43—41no—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43C2×D412yes—
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2×D411yescharacteristic
164C22×C4×C43#4112yes—
165C22×C4×C43C2411yescharacteristic
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—21no—
172C22×Dic43—21no—
173C22×Dic43—21no—
174C22×Dic43—42no—
175C22×Dic43—42no—
176C22×Dic43—81no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
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×Dic86—21no—
189M16×C43—28no—
190M16×C43—44no—
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×C43C2×D412yes—
200C2×C8×C43C2×D412yes—
201C2×C8×C43C2×D412yes—
202C2×C8×C43#4112yes—
203C4⋊C4×C43—22no—
204C22⋊C4×C43—22no—
205C22⋊C4×C43—22no—
206C42×C43—21no—
207C42×C43—21no—
208C22⋊Dic43—42no—
209C22⋊Dic43—42no—
210C22⋊Dic43—42no—
211C22⋊Dic43—42no—
212C22⋊Dic43—42no—
213C22⋊Dic43—42no—
214C22⋊Dic43—81no—
215C4⋊Dic43—21no—
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—21no—
225C4⋊Dic43—42no—
226C4⋊Dic43C2×D412yes—
227C4⋊Dic43C2×D412yes—
228Dic43⋊C4—42no—
229Dic43⋊C4—42no—
230Dic43⋊C4—42no—
231Dic43⋊C4—42no—
232Dic43⋊C4—42no—
233Dic43⋊C4—81no—
234C4×Dic43—42no—
235Dic172—44no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—21no—
243C23×C43—21no—
244C23×C43—21no—
245C23×C43—21no—
246C23×C43—21no—
247C23×C43—21no—
248C23×C43—21no—
249C23×C43#12112yes—
250C23×C43C22×D411yescharacteristic
251D4×C43—44no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43#12112yes—
271C2×C4×C43#13712yes—
272C2×C4×C43C22×D411yescharacteristic
273C2×C4×C43C22×D411yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×C4×C43H(5,𝔽2)11yescharacteristic
277C2×C4×C432−1+411yescharacteristic
278C2×Dic43—22no—
279C2×Dic43—22no—
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—
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—
302C2×Dic43—84no—
303Dic86—41no—
304Dic86—41no—
305Dic86—41no—
306Dic86—41no—
307Dic86—41no—
308Dic86—41no—
309Dic86—41no—
310Dic86—41no—
311C8×C43—22no—
312C8×C43—41no—
313C8×C43—41no—
314C8×C43#12114yes—
315#24793—431nomaximal, Sylow
316C22×C43—22no—
317C22×C43—22no—
318C22×C43—22no—
319C22×C43—41no—
320C22×C43—41no—
321C22×C43—41no—
322C22×C43—41no—
323C22×C43—41no—
324C22×C43—41no—
325C22×C43—41no—
326C22×C43—41no—
327C22×C43—41no—
328C22×C43—41no—
329C22×C43—41no—
330C22×C43C2×#12111yescharacteristic
331C22×C43D4211yescharacteristic
332C22×C43#54711yescharacteristic
333C22×C43C2×#13711yescharacteristic
334C22×C43#57511yescharacteristic
335C22×C43#57711yescharacteristic
336C22×C43#57811yescharacteristic
337C4×C43—22no—
338C4×C43—22no—
339C4×C43—41no—
340C4×C43—41no—
341C4×C43C2×#12111yescharacteristic
342C4×C43#53711yescharacteristic
343C4×C43#54811yescharacteristic
344C4×C43#55311yescharacteristic
345Dic43—42no—
346Dic43—42no—
347Dic43—81no—
348Dic43—81no—
349Dic43—81no—
350Dic43—81no—
351Dic43—81no—
352Dic43—81no—
353C2×#470—431no—
354C2×#470—431no—
355C2×#436D4311yescharacteristic
356C2×#428—431no—
357#2417—431no—
358#2415—431no—
359#2068—431no—
360#2066—431no—
361#2036—431no—
362#2035—431no—
363#1969—431no—
364#1941—431no—
365#1873—431no—
366#1872—431no—
367#1809—431no—
368C2×C43—42no—
369C2×C43—81no—
370C2×C43#241611yescharacteristic
371C2×C43#305611yescharacteristic
372C2×C43#306311yescharacteristic
373C2×C43#327511yescharacteristic
374C2×C43#327611yescharacteristic
375C2×C43#335211yescharacteristic
376C2×C43#335611yescharacteristic
377C22×Q16—431no—
378C22×M16C2×D4311yescharacteristic
379C22×M16C2×D4311yescharacteristic
380C2×C22⋊Q8—431no—
381C2×C22⋊Q8—431no—
382C2×C22⋊Q8—431no—
383C2×C22⋊Q8—431no—
384C2×C4×D4C2×D4311yescharacteristic
385C2×#117—431no—
386C22×C4⋊C4—431no—
387#470—864no—
388#470—864no—
389#436—24no—
390#428—864no—
391C2×#107—431no—
392C2×#107—431no—
393C2×#106—431no—
394C2×#106—431no—
395C2×#106—431no—
396C2×C4⋊C8C2×D4311yescharacteristic
397C2×#103—431no—
398C2×#103—431no—
399C2×#103—431no—
400C2×#103—431no—
401C2×#103—431no—
402C2×#103—431no—
403C2×C22⋊C8C2×D4311yescharacteristic
404C2×C22⋊C8C2×D4311yescharacteristic
405C2×C4×C8C2×D4311yescharacteristic
406#398—861no—
407#397—861no—
408#396—861no—
409#394—861no—
410#391—431no—
411#391—431no—
412#389—431no—
413#389—431no—
414#389—861no—
415#388—861no—
416#386—861no—
417#380—431no—
418#380—431no—
419#380—861no—
420#340—431no—
421#340—431no—
422#340—431no—
423#340—431no—
424C43#2479311yescharacteristic, complemented, Sylow
425C22×Q8—431no—
426C22×Q8—431no—
427C22×D4D17211yescharacteristic
428C23×C4—861no—
429C23×C4C22×D4311yescharacteristic
430C23×C4C22×D4311yescharacteristic
431C2×Q16—862no—
432C2×Q16—862no—
433C2×Q16—862no—
434C2×M16—22no—
435C2×M16—22no—
436C2×M16—22no—
437C2×M16—22no—
438C2×M16—22no—
439C2×M16C22⋊D4314yes—
440C22×C8C22×D4311yescharacteristic
441C22×C8C22×D4311yescharacteristic
442C22×C8C22×D4311yescharacteristic
443C22×C8C22×D4311yescharacteristic
444C22⋊Q8—862no—
445C22⋊Q8—862no—
446C22⋊Q8—862no—
447C22⋊Q8—862no—
448C22⋊Q8—862no—
449C22⋊Q8—862no—
450C22⋊Q8—1721no—
451C22⋊Q8—1721no—
452C4×D4—22no—
453C4×D4—22no—
454#117—862no—
455#117—1721no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—862no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4—861no—
468C2×C4⋊C4—861no—
469C2×C4⋊C4—861no—
470C2×C4⋊C4—1721no—
471C2×C4⋊C4D17211yescharacteristic
472C2×C22⋊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⋊C4D17211yescharacteristic
480C2×C22⋊C4D17211yescharacteristic
481C2×C42—861no—
482C2×C42C22×D4311yescharacteristic
483#107—862no—
484#107—862no—
485#106—434no—
486#106—862no—
487#106—862no—
488C4⋊C8—22no—
489#103—862no—
490#103—862no—
491#103—862no—
492#103—862no—
493#103—1721no—
494#103—1721no—
495C22⋊C8—22no—
496C22⋊C8—22no—
497C4×C8—22no—
498#95—861no—
499#95—861no—
500#95—861no—
501#95—861no—
502#95—861no—
503#95—861no—
504#95—861no—
505#95—861no—
506C24C2×D17211yescharacteristic
507C24C2×D17211yescharacteristic
508C2×Q8—861no—
509C2×Q8—861no—
510C2×Q8—861no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—861no—
514C2×Q8—861no—
515C2×Q8—861no—
516C2×Q8—861no—
517C2×Q8—861no—
518C2×Q8—861no—
519C2×Q8—861no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—41no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—861no—
539C22×C4—861no—
540C22×C4—861no—
541C22×C4—3441no—
542C22×C4—1722no—
543C22×C4—1722no—
544C22×C4C2×D17211yescharacteristic
545C22×C4C2×D17211yescharacteristic
546C22×C4C2×D17211yescharacteristic
547C22×C4C2×D17211yescharacteristic
548C22×C4#1062189812yes—
549C22×C4C2×C22⋊D4312yes—
550C22×C4C23×D4311yescharacteristic
551Q16—1724no—
552M16—28no—
553M16—44no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8D4×D4312yes—
563C2×C8#1062190012yes—
564C2×C8C2×C22⋊D4312yes—
565C2×C8C2×C22⋊D4312yes—
566C4⋊C4—22no—
567C4⋊C4—432no—
568C4⋊C4—432no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—861no—
578C4⋊C4—861no—
579C4⋊C4—3441no—
580C4⋊C4—1722no—
581C4⋊C4—1722no—
582C4⋊C4—1722no—
583C4⋊C4—1722no—
584C4⋊C4—1722no—
585C4⋊C4—1722no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—3441no—
589C22⋊C4—1722no—
590C22⋊C4—1722no—
591C22⋊C4—1722no—
592C22⋊C4—1722no—
593C22⋊C4—1722no—
594C22⋊C4—1722no—
595C42—21no—
596C42—21no—
597C42—1722no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23#1306329912yes—
612C23C22×D17211yescharacteristic
613Q8—1721no—
614Q8—1721no—
615Q8—1721no—
616Q8—1721no—
617Q8—1721no—
618Q8—1721no—
619Q8—1721no—
620Q8—1721no—
621D4—44no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—862no—
641C2×C4—862no—
642C2×C4—3444no—
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×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4#1306329912yes—
666C2×C4#1306335812yes—
667C2×C4C2×D4×D4311yescharacteristic
668C2×C4C22×C22⋊D4311yescharacteristic
669C2×C4C2×#1062190011yescharacteristic
670C2×C4C2×#1062189811yescharacteristic
671C2×C4#1306337111yescharacteristic
672C2×C4#1306337211yescharacteristic
673C8—22no—
674C8—41no—
675C8—41no—
676C8#1306329714yes—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22C2×#1306329911yescharacteristic
692C22D4×D17211yescharacteristic
693C22#1458355311yescharacteristic
694C22C2×#1306335811yescharacteristic
695C22#1458369911yescharacteristic
696C22#1458371111yescharacteristic
697C22#1458371611yescharacteristic
698C4—22no—
699C4—22no—
700C4—41no—
701C4—41no—
702C4—3441no—
703C4—3441no—
704C4—3441no—
705C4—3441no—
706C4—3441no—
707C4—3441no—
708C4—1722no—
709C4—1722no—
710C4C2×#1306329711yescharacteristic
711C4#1458347711yescharacteristic
712C4#1458355811yescharacteristic
713C4#1458359511yescharacteristic
714C2—42no—
715C2—81no—
716C2#1913803511yescharacteristic
717C2#1914422511yescharacteristic
718C2#1914428611yescharacteristic
719C2#1914623111yescharacteristic
720C2#1914624311yescharacteristic
721C2#1914716911yescharacteristic
722C2#1914721111yescharacteristic
subgroupG/H
centerC23C22×D172
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#436C2
socleC23×C43C22×D4
prime radicalC22×D4×C43D4
hypercenterC2×#436D43
hypocenterC43#24793
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#436

Complements

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

NH ≅ G/Ntype
1. C2×#14583157C2semidirect
2. C2×#14583157C2semidirect
3. C2×#14582941C2semidirect
6. #19135989C2semidirect
7. #19135975C2semidirect
8. #19135799C2semidirect
9. #19135792C2semidirect
10. #19135456C2semidirect
11. #19135323C2semidirect
12. #19134905C2semidirect
13. #19134900C2semidirect
14. #19134628C2semidirect
106. #13063257D4semidirect
424. C43#24793semidirect

Maximal subgroups

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

subgroupindex
C2×#145831572
C2×#145829412
#191380462
#191380242
#191359892
#191359752
#191357992
#191357922
#191354562
#191353232
#191349052
#191349002
#191346282
C2×C43×#4362
#2479343