Finite Group Databasebeta

← #25130958

Subgroups — #25130958

Order 11008.

1114 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583453C211yesmaximal, characteristic
2C2×#14583193C211yesmaximal, characteristic, complemented
3C2×#14583108C211yesmaximal, characteristic, complemented
4#19137125C211yesmaximal, characteristic
5#19135800C211yesmaximal, characteristic
6#19135796C211yesmaximal, characteristic
7#19135606C211yesmaximal, characteristic
8#19135604C211yesmaximal, characteristic
9#19135541C211yesmaximal, characteristic, complemented
10#19135516C211yesmaximal, characteristic, complemented
11#19134936C211yesmaximal, characteristic, complemented
12#19134935C211yesmaximal, characteristic, complemented
13#19134848C211yesmaximal, characteristic, complemented
14#19134574C211yesmaximal, characteristic
15C43×#1863C211yesmaximal, characteristic, complemented
16C22×Dic172C2211yescharacteristic
17C22×#10621885C2211yescharacteristic
18#14583453—24no—
19#14583453—24no—
20C2×#13063324C2211yescharacteristic
21C2×#13063323C2211yescharacteristic
22C2×#13063315—21no—
23C2×#13063305C2211yescharacteristic
24C2×#13063305C2211yescharacteristic
25C2×#13063303—21no—
26C2×#13063301C2211yescharacteristic
27C2×C4×Dic86—21no—
28C2×C4×Dic86C2211yescharacteristic
29C2×#13063290C2211yescharacteristic
30C2×#13063282—21no—
31C2×C42×D43C2211yescharacteristic
32#14583193—24no—
33#14583108—24no—
34C2×#13063258C2211yescharacteristic
35C2×Dic43⋊C8C2211yescharacteristic
36C2×Dic43⋊C8C2211yescharacteristic
37C2×#13063250C2211yescharacteristic
38C2×#13063250C2211yescharacteristic
39C2×#13063249C2211yescharacteristic
40C2×#13063248C2211yescharacteristic
41C2×#13063248C2211yescharacteristic
42C2×#13063248C2211yescharacteristic
43C2×(C2×D43)⋊C8C2211yescharacteristic
44C2×(C2×D43)⋊C8C2211yescharacteristic
45#14582805C2211yescharacteristic
46#14582782—21no—
47#14582770—21no—
48#14582756C2211yescharacteristic
49C4⋊C4×Dic43—21no—
50C4⋊C4×Dic43C2211yescharacteristic
51#14582746—21no—
52#14582662C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55#14582654C2211yescharacteristic
56C2×C4×Q8×C43C2211yescharacteristic
57C2×#107×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C43×#389C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C43×#336C2211yescharacteristic
63C22×Dic86—21no—
64C22×Dic86C2311yescharacteristic
65C22×Dic86C2311yescharacteristic
66C22×C4×D43D411yescharacteristic
67C22×C4×D43D411yescharacteristic
68C22×C4×D43C2311yescharacteristic
69C2×Dic172—22no—
70C2×Dic172—22no—
71C2×Dic172—41no—
72C2×#10621885—22no—
73C2×#10621885—22no—
74C2×#10621885—41no—
75C22×C43⋊C8C2311yescharacteristic
76C22×C43⋊C8C2311yescharacteristic
77#13063324—22no—
78#13063324D414yes—
79#13063323—22no—
80#13063323D414yes—
81#13063315—28no—
82#13063305—22no—
83#13063305—22no—
84#13063305—22no—
85#13063305—22no—
86#13063303—28no—
87#13063301—22no—
88#13063301—22no—
89C4×Dic86—28no—
90C4×Dic86—22no—
91C4×Dic86—22no—
92#13063290—22no—
93#13063290—22no—
94#13063282—28no—
95C2×C4⋊Dic43—21no—
96C2×C4⋊Dic43—21no—
97C2×C4⋊Dic43C2311yescharacteristic
98C2×C4⋊Dic43C2311yescharacteristic
99C2×Dic43⋊C4—21no—
100C2×Dic43⋊C4—21no—
101C2×Dic43⋊C4—21no—
102C2×Dic43⋊C4—21no—
103C2×Dic43⋊C4—21no—
104C2×Dic43⋊C4—21no—
105C2×(C2×D43)⋊C4—21no—
106C2×(C2×D43)⋊C4—21no—
107C2×(C2×D43)⋊C4—21no—
108C2×(C2×D43)⋊C4—21no—
109C2×C4×Dic43—21no—
110C2×C4×Dic43—21no—
111C2×C4×Dic43—21no—
112C2×C4×Dic43D411yescharacteristic
113C2×C4×Dic43D411yescharacteristic
114C2×C4×Dic43C2311yescharacteristic
115C42×D43—22no—
116C42×D43—22no—
117#13063258—22no—
118Dic43⋊C8—22no—
119Dic43⋊C8—22no—
120#13063250—22no—
121#13063250—41no—
122#13063249—41no—
123#13063248—22no—
124#13063248—22no—
125#13063248—22no—
126(C2×D43)⋊C8—41no—
127(C2×D43)⋊C8—41no—
128C43⋊#95—21no—
129C43⋊#95—21no—
130C43⋊#95—21no—
131C43⋊#95—21no—
132C22×Q8×C43C2311yescharacteristic
133C22×C8×C43C2311yescharacteristic
134C22×C8×C43C2311yescharacteristic
135C4×Q8×C43—22no—
136C4×Q8×C43—22no—
137C2×C4⋊C4×C43—21no—
138C2×C4⋊C4×C43—21no—
139C2×C4⋊C4×C43C2311yescharacteristic
140C2×C4⋊C4×C43C2311yescharacteristic
141C2×C4⋊C4×C43C2311yescharacteristic
142C2×C42×C43—21no—
143C2×C42×C43C2311yescharacteristic
144#107×C43—22no—
145#103×C43—22no—
146#103×C43—22no—
147#95×C43—21no—
148C23×D43C2×D411yescharacteristic
149C2×Q8×C43—21no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
153C2×Q8×C43—21no—
154C2×Q8×C43C2×D412yes—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2411yescharacteristic
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43C2×D411yescharacteristic
167C22×Dic43C2×D411yescharacteristic
168C22×Dic43C2×D411yescharacteristic
169C2×C4×D43—22no—
170C2×C4×D43—22no—
171C2×C4×D43—21no—
172C2×C4×D43—21no—
173C2×C4×D43—21no—
174C2×C4×D43—21no—
175C2×C4×D43—21no—
176C2×C4×D43—21no—
177C2×C4×D43—22no—
178C2×C4×D43—41no—
179C2×C4×D43—41no—
180C2×C4×D43Q1614yescomplemented
181C2×Dic86—21no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—24no—
192C2×Dic86—42no—
193C2×Dic86—42no—
194C2×Dic86C2×D412yes—
195C2×Dic86#4112yes—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
202C4⋊C4×C43—24no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43—21no—
207C4⋊C4×C43—42no—
208C4⋊C4×C43C2×D412yes—
209C4⋊C4×C43#4112yes—
210C42×C43—24no—
211C42×C43—21no—
212C42×C43—21no—
213#10621885—44no—
214(C2×D43)⋊C4—24no—
215(C2×D43)⋊C4—24no—
216(C2×D43)⋊C4—24no—
217(C2×D43)⋊C4—42no—
218C4⋊Dic43—24no—
219C4⋊Dic43—24no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43C2×D412yes—
224Dic43⋊C4—24no—
225Dic43⋊C4—24no—
226Dic43⋊C4—24no—
227Dic43⋊C4—24no—
228Dic43⋊C4—24no—
229Dic43⋊C4—42no—
230C4×Dic43—24no—
231C4×Dic43—22no—
232C4×Dic43—22no—
233C4×Dic43—42no—
234C4×Dic43—42no—
235C4×Dic43C2×D412yes—
236C4×Dic43C2×D412yes—
237C2×C43⋊C8—21no—
238C2×C43⋊C8—21no—
239C2×C43⋊C8—21no—
240C2×C43⋊C8—21no—
241C2×C43⋊C8—21no—
242C2×C43⋊C8—21no—
243Dic172—44no—
244C23×C43C22×D411yescharacteristic
245C22×D43—21no—
246C22×D43—21no—
247C22×D43—21no—
248C22×D43—21no—
249C22×D43—21no—
250C22×D43—21no—
251C22×D43C2×Q1612yes—
252Q8×C43—22no—
253Q8×C43—22no—
254Q8×C43—41no—
255Q8×C43—41no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43C2×Q1612yes—
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43C22×D411yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C43H(5,𝔽2)11yescharacteristic
279C2×C4×C432−1+411yescharacteristic
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—22no—
284C2×Dic43—22no—
285C2×Dic43—21no—
286C2×Dic43—22no—
287C2×Dic43—21no—
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#12012yes—
298C2×Dic43#12012yes—
299C2×Dic43C2×Q1612yes—
300C2×Dic43#13712yes—
301C4×D43—28no—
302C4×D43—44no—
303C4×D43—41no—
304C4×D43—41no—
305C4×D43—41no—
306C4×D43—41no—
307Dic86—22no—
308Dic86—22no—
309Dic86—22no—
310Dic86—22no—
311Dic86—48no—
312Dic86—41no—
313Dic86—41no—
314Dic86—41no—
315Dic86—41no—
316C8×C43—41no—
317C8×C43—41no—
318C43⋊C8—41no—
319C43⋊C8—41no—
320#24155—431nomaximal, Sylow
321C22×C43C2×#12011yescharacteristic
322C22×C43#52511yescharacteristic
323C22×C43#53711yescharacteristic
324C22×C43C22×Q1611yescharacteristic
325C22×C43C2×#13711yescharacteristic
326C22×C43#57511yescharacteristic
327C22×C43#57511yescharacteristic
328C2×D43—22no—
329C2×D43—22no—
330C2×D43—22no—
331C2×D43—41no—
332C2×D43—41no—
333C2×D43—41no—
334C2×D43—41no—
335C4×C43—22no—
336C4×C43—42no—
337C4×C43—42no—
338C4×C43—42no—
339C4×C43—41no—
340C4×C43—81no—
341C4×C43#54611yescharacteristic
342C4×C43#54711yescharacteristic
343C4×C43#54811yescharacteristic
344C4×C43#55011yescharacteristic
345Dic43—22no—
346Dic43—42no—
347Dic43—42no—
348Dic43—41no—
349Dic43—42no—
350Dic43—81no—
351Dic43#45114yes—
352C2×#533—431no—
353C2×#477—431no—
354C2×#462—431no—
355C4×C22⋊Q8—431no—
356#2036—431no—
357#2036—431no—
358#2001—431no—
359#2001—431no—
360#1987—431no—
361#1981—431no—
362#1878—431no—
363#1878—431no—
364#1863—431no—
365#1863D4311yescharacteristic, complemented
366#1797—431no—
367C2×C43#240711yescharacteristic
368C2×C43C2×#45111yescharacteristic
369C2×C43#300511yescharacteristic
370C2×C43#310411yescharacteristic
371C2×C43#311611yescharacteristic
372C2×C43#324911yescharacteristic
373C2×C43#325211yescharacteristic
374D43—42no—
375C22×Q16—431no—
376C22×Q16—431no—
377#533—864no—
378#533—864no—
379C2×C4⋊Q8—431no—
380C2×C4⋊Q8—431no—
381C2×#125—861no—
382C2×C22⋊Q8—431no—
383C2×C22⋊Q8—431no—
384C2×C22⋊Q8—431no—
385C2×C22⋊Q8—861no—
386C2×C4×Q8—431no—
387C2×C4×Q8—431no—
388C2×C4×Q8—861no—
389C2×C4×Q8C2×D4311yescharacteristic
390C2×#117—861no—
391C22×C42—431no—
392#477—864no—
393#462—864no—
394C2×#107—431no—
395C2×#107C2×D4311yescharacteristic
396C2×C4⋊C8—431no—
397C2×C4⋊C8—431no—
398C2×#103—431no—
399C2×#103—431no—
400C2×#103—431no—
401C2×#103—431no—
402C2×#103—431no—
403C2×#103—431no—
404C2×#103C2×D4311yescharacteristic
405C2×#103C2×D4311yescharacteristic
406C2×C22⋊C8—431no—
407C2×C22⋊C8—431no—
408#391—431no—
409#389C2×D4311yescharacteristic
410#387—861no—
411#385—861no—
412#380—431no—
413C4×C4⋊C4—431no—
414C4×C4⋊C4—861no—
415C4×C22⋊C4—861no—
416#340—431no—
417#340—431no—
418#340—431no—
419#340C2×D4311yescharacteristic
420#336—431no—
421#336C2×D4311yescharacteristic
422C43#2415511yescharacteristic, complemented, Sylow
423C22×Q8—431no—
424C22×Q8—431no—
425C22×Q8—861no—
426C22×Q8C22×D4311yescharacteristic
427C23×C4—431no—
428C23×C4—431no—
429C23×C4—431no—
430C2×Q16—862no—
431C2×Q16—862no—
432C2×Q16—862no—
433C2×Q16—862no—
434C2×Q16—1721no—
435C2×Q16—1721no—
436C22×C8—431no—
437C22×C8—431no—
438C22×C8C22×D4311yescharacteristic
439C22×C8C22×D4311yescharacteristic
440C4⋊Q8—434no—
441C4⋊Q8—434no—
442C4⋊Q8—862no—
443C4⋊Q8—862no—
444#125—868no—
445C22⋊Q8—862no—
446C22⋊Q8—862no—
447C22⋊Q8—868no—
448C22⋊Q8—862no—
449C22⋊Q8—862no—
450C22⋊Q8—862no—
451C22⋊Q8—862no—
452C4×Q8—22no—
453C4×Q8—22no—
454C4×Q8—862no—
455C4×Q8—862no—
456C4×Q8—868no—
457C4×Q8—862no—
458C4×Q8—862no—
459#117—868no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—431no—
463C2×C4⋊C4—431no—
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—861no—
471C2×C4⋊C4—861no—
472C2×C4⋊C4C22×D4311yescharacteristic
473C2×C4⋊C4C22×D4311yescharacteristic
474C2×C4⋊C4C22×D4311yescharacteristic
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C42—21no—
480C2×C42—431no—
481C2×C42—431no—
482C2×C42—431no—
483C2×C42—862no—
484C2×C42—862no—
485C2×C42—861no—
486C2×C42—861no—
487C2×C42—861no—
488C2×C42C22×D4311yescharacteristic
489#107—22no—
490#107—862no—
491C4⋊C8—862no—
492C4⋊C8—862no—
493#103—22no—
494#103—22no—
495#103—862no—
496#103—862no—
497#103—862no—
498#103—862no—
499#103—1721no—
500#103—1721no—
501C22⋊C8—1721no—
502C22⋊C8—1721no—
503#95—21no—
504#95—861no—
505#95—861no—
506#95—861no—
507#95—861no—
508C24—431no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—432no—
515C2×Q8—432no—
516C2×Q8—864no—
517C2×Q8—861no—
518C2×Q8—861no—
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×Q8—1722no—
528C2×Q8—1722no—
529C2×Q8D4×D4312yes—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—431no—
535C22×C4—431no—
536C22×C4—434no—
537C22×C4—431no—
538C22×C4—862no—
539C22×C4—862no—
540C22×C4—862no—
541C22×C4—861no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—861no—
545C22×C4—861no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4—861no—
550C22×C4—861no—
551C22×C4—1721no—
552C22×C4—1721no—
553C22×C4D4×D4311yescharacteristic
554C22×C4D4×D4311yescharacteristic
555C22×C4C23×D4311yescharacteristic
556Q16—1724no—
557Q16—1724no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C2×C8—861no—
570C4⋊C4—24no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—42no—
576C4⋊C4—432no—
577C4⋊C4—864no—
578C4⋊C4—864no—
579C4⋊C4—864no—
580C4⋊C4—864no—
581C4⋊C4—864no—
582C4⋊C4—864no—
583C4⋊C4—864no—
584C4⋊C4—861no—
585C4⋊C4—861no—
586C4⋊C4—861no—
587C4⋊C4—1722no—
588C4⋊C4#1062189812yes—
589C4⋊C4D4×D4312yes—
590C22⋊C4—864no—
591C22⋊C4—864no—
592C22⋊C4—864no—
593C22⋊C4—1722no—
594C42—24no—
595C42—21no—
596C42—21no—
597C42—432no—
598C42—432no—
599C42—862no—
600C42—862no—
601C42—864no—
602C42—1722no—
603C42—1722no—
604C23—432no—
605C23—861no—
606C23—861no—
607C23—861no—
608C23—861no—
609C23—861no—
610C23—861no—
611C23C2×D4×D4311yescharacteristic
612Q8—22no—
613Q8—22no—
614Q8—41no—
615Q8—41no—
616Q8—862no—
617Q8—862no—
618Q8—862no—
619Q8—862no—
620Q8—1728no—
621Q8—1721no—
622Q8—1721no—
623Q8—1721no—
624Q8—1721no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—432no—
643C2×C4—432no—
644C2×C4—432no—
645C2×C4—432no—
646C2×C4—868no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—862no—
651C2×C4—862no—
652C2×C4—862no—
653C2×C4—861no—
654C2×C4—861no—
655C2×C4—1724no—
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—1721no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4Q16×D4312yes—
670C2×C4C2×D4×D4311yescharacteristic
671C2×C4C2×D4×D4311yescharacteristic
672C2×C4#41×D4311yescharacteristic
673C2×C4C2×#1062189811yescharacteristic
674C2×C4#1306337111yescharacteristic
675C2×C4#1306337311yescharacteristic
676C8—41no—
677C8—41no—
678C8—1721no—
679C8—1721no—
680C22—862no—
681C22—862no—
682C22—862no—
683C22—1721no—
684C22—1721no—
685C22—1721no—
686C22—1721no—
687C22#120×D4311yescharacteristic
688C22#1458340811yescharacteristic
689C22#1458347911yescharacteristic
690C22C2×Q16×D4311yescharacteristic
691C22#137×D4311yescharacteristic
692C22#1458369511yescharacteristic
693C22#1458369611yescharacteristic
694C4—22no—
695C4—42no—
696C4—42no—
697C4—41no—
698C4—42no—
699C4—81no—
700C4—434no—
701C4—862no—
702C4—3441no—
703C4—1721no—
704C4—1722no—
705C4—1722no—
706C4—1722no—
707C4#1458354111yescharacteristic
708C4#1458355011yescharacteristic
709C4#1458355911yescharacteristic
710C4#1458357011yescharacteristic
711C2—1722no—
712C2#1913793911yescharacteristic
713C2#451×D4311yescharacteristic
714C2#1914383311yescharacteristic
715C2#1914463211yescharacteristic
716C2#1914475311yescharacteristic
717C2#1914593911yescharacteristic
718C2#1914596711yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1863C2
socleC23×C43C22×D4
prime radicalC23×D43C2×D4
hypercenter#1863D43
hypocenterC43#24155
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1863

Complements

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

NH ≅ G/Ntype
2. C2×#14583193C2semidirect
3. C2×#14583108C2semidirect
9. #19135541C2semidirect
10. #19135516C2semidirect
11. #19134936C2semidirect
12. #19134935C2semidirect
13. #19134848C2semidirect
15. C43×#1863C2semidirect
180. C2×C4×D43Q16semidirect
365. #1863D43semidirect
422. C43#24155semidirect

Maximal subgroups

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

subgroupindex
C2×#145834532
C2×#145831932
C2×#145831082
#191371252
#191358002
#191357962
#191356062
#191356042
#191355412
#191355162
#191349362
#191349352
#191348482
#191345742
C43×#18632
#2415543