Finite Group Databasebeta

← #25964240

Subgroups — #25964240

Order 11008.

2030 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583527C211yesmaximal, characteristic, complemented
2#19144457C214yesmaximal, complemented
3#19144446C214yesmaximal, complemented
4#19144437C214yesmaximal, complemented
5#19144426C214yesmaximal, complemented
6#19144417C214yesmaximal, complemented
7#19144410C214yesmaximal, complemented
8#19143184C211yesmaximal, characteristic, complemented
9C2×#14582942C211yesmaximal, characteristic, complemented
10#19143159C211yesmaximal, characteristic, complemented
11#19143114C211yesmaximal, characteristic
12C2×#14582900C211yesmaximal, characteristic
13C43×#3428C211yesmaximal, characteristic
14C22×#10621877C2211yescharacteristic
15C22×#10621877C2211yescharacteristic
16#14583527—22no—
17#14583527—22no—
18#14583527C2214yes—
19#14583527C2214yescomplemented
20C2×#13063325C2212yescomplemented
21C2×#13063324—21no—
22C2×#13063317C2212yescomplemented
23C2×#13063316—21no—
24C2×#13063302—22no—
25C2×#13063284C2211yescharacteristic
26C22×C4⋊Dic43C2211yescharacteristic
27#14583206C2218yescomplemented
28#14583206C2218yescomplemented
29#14583199C2218yescomplemented
30#14583199C2218yescomplemented
31#14583194C2218yescomplemented
32#14583189C2218yescomplemented
33#14583184C2218yescomplemented
34#14583179C2218yescomplemented
35#14582942C2214yes—
36#14582942C2214yescomplemented
37#14582942C2212yescomplemented
38#14582942C2212yescomplemented
39#14582939C2212yescomplemented
40#14582939C2212yescomplemented
41#14582935C2214yes—
42C2×#13063258C2212yescomplemented
43C2×#13063256C2212yescomplemented
44#14582926C2214yes—
45#14582926C2214yescomplemented
46#14582923C2214yescomplemented
47#14582908C2212yes—
48#14582904C2212yes—
49#14582900C2214yes—
50#14582900C2214yes—
51#14582900C2212yes—
52#14582900C2212yes—
53#14582895C2214yes—
54C2×#13063249C2212yes—
55C2×#13063246C2212yes—
56C22×#41×C43C2211yescharacteristic
57C43×#520—21no—
58C43×#520—21no—
59C43×#520C2212yes—
60C43×#520C2212yes—
61C43×#519C2212yes—
62C43×#518—22no—
63C43×#518C2212yes—
64C4×#41×C43—22no—
65C4×#41×C43C2214yes—
66C2×#117×C43—22no—
67C2×#117×C43C2211yescharacteristic
68C2×#117×C43C2211yescharacteristic
69C22×Dic86—22no—
70C23×Dic43—21no—
71C2×#10621877—24no—
72C2×#10621877—24no—
73C2×#10621877C2312yes—
74C2×#10621877C2312yes—
75C2×#10621877C2312yes—
76C2×#10621877C2312yes—
77C22×C43⋊C8C2312yes—
78C22×C43⋊C8C2312yes—
79#13063325—24no—
80#13063325C2318yes—
81#13063324—24no—
82#13063324—24no—
83#13063317—24no—
84#13063317C2318yes—
85#13063316—24no—
86#13063316—24no—
87#13063302—28no—
88#13063302—28no—
89#13063284—21no—
90#13063284—21no—
91#13063284C2312yes—
92#13063284C2312yes—
93C2×C4⋊Dic43—21no—
94C2×C4⋊Dic43—21no—
95C2×C4⋊Dic43—21no—
96C2×C4⋊Dic43—22no—
97C2×C4⋊Dic43C2312yes—
98C2×C4⋊Dic43C2312yes—
99C2×C4⋊Dic43C2312yes—
100C2×C4⋊Dic43C2311yescharacteristic
101C2×C4⋊Dic43C2311yescharacteristic
102C2×Dic43⋊C4—22no—
103C2×Dic43⋊C4—22no—
104C2×C22⋊Dic43—21no—
105C2×C4×Dic43—21no—
106#13063258C2314yes—
107#13063258C2318yes—
108#13063258C2314yes—
109#13063256C2314yes—
110#13063256C2318yes—
111#13063256C2314yes—
112C4⋊(C43⋊C8)C2318yes—
113C4⋊(C43⋊C8)C2318yes—
114#13063249C2318yes—
115#13063249C2314yes—
116#13063249C2314yes—
117#13063246C2318yes—
118#13063246C2314yes—
119#13063246C2314yes—
120C2×#41×C43—21no—
121C2×#41×C43—21no—
122C2×#41×C43—24no—
123C2×#41×C43Q818yescomplemented
124C2×#41×C43C2312yes—
125C2×#41×C43C2312yes—
126C22×Q8×C43C2311yescharacteristic
127C22×D4×C43—21no—
128C22×D4×C43C2311yescharacteristic
129C23×C4×C43—21no—
130C23×C4×C43C2311yescharacteristic
131C4×Q8×C43—22no—
132C4×Q8×C43—22no—
133C4×Q8×C43C2314yes—
134C4×Q8×C43C2314yes—
135C4×D4×C43—24no—
136C4×D4×C43—24no—
137C4×D4×C43—22no—
138C4×D4×C43—22no—
139C4×D4×C43—24no—
140C4×D4×C43—24no—
141C4×D4×C43C2314yes—
142C4×D4×C43C2314yes—
143#117×C43—21no—
144#117×C43—21no—
145#117×C43—22no—
146#117×C43—22no—
147#117×C43—24no—
148#117×C43—24no—
149#117×C43D412yes—
150#117×C43D412yes—
151#117×C43C2312yes—
152#117×C43C2312yes—
153#117×C43C2312yes—
154#117×C43C2312yes—
155C2×C4⋊C4×C43—22no—
156C2×C4⋊C4×C43—22no—
157C2×C4⋊C4×C43D411yescharacteristic
158C2×C4⋊C4×C43D411yescharacteristic
159C2×C4⋊C4×C43C2311yescharacteristic
160C2×C4⋊C4×C43C2311yescharacteristic
161C2×C22⋊C4×C43—21no—
162C2×C22⋊C4×C43—24no—
163C2×C22⋊C4×C43D412yes—
164C2×C42×C43—21no—
165C2×C42×C43—24no—
166C2×C42×C43C2312yes—
167C24×C43—21no—
168C24×C43C2×D411yescharacteristic
169#41×C43—28no—
170#41×C43—28no—
171#41×C43—24no—
172#41×C43—24no—
173#41×C43C2×Q818yes—
174#41×C43C2×Q818yescomplemented
175C2×Q8×C43—21no—
176C2×Q8×C43—22no—
177C2×Q8×C43C2×Q814yescomplemented
178C2×Q8×C43C2412yes—
179C2×D4×C43—21no—
180C2×D4×C43—22no—
181C2×D4×C43—28no—
182C2×D4×C43—22no—
183C2×D4×C43—22no—
184C2×D4×C43C2×Q814yescomplemented
185C2×D4×C43C2412yes—
186C22×C4×C43—28no—
187C22×C4×C43—22no—
188C22×C4×C43—22no—
189C22×C4×C43—24no—
190C22×C4×C43—24no—
191C22×C4×C43—21no—
192C22×C4×C43—21no—
193C22×C4×C43—21no—
194C22×C4×C43C2×D412yes—
195C22×C4×C43C2×D412yes—
196C22×C4×C43C2×D411yescharacteristic
197C22×C4×C43C2×D411yescharacteristic
198C22×C4×C43C2×D411yescharacteristic
199C22×C4×C43C2×Q814yes—
200C22×C4×C43#4114yes—
201C22×C4×C43C2411yescharacteristic
202C22×C4×C43C2411yescharacteristic
203C22×C4×C43C2411yescharacteristic
204C22×Dic43—21no—
205C22×Dic43—21no—
206C22×Dic43—22no—
207C22×Dic43—22no—
208C22×Dic43—22no—
209C22×Dic43—82no—
210C2×Dic86—28no—
211C2×Dic86—84no—
212C4⋊C4×C43—21no—
213C4⋊C4×C43—21no—
214C4⋊C4×C43—24no—
215C4⋊C4×C43—24no—
216C4⋊C4×C43C2×D412yes—
217C4⋊C4×C43C2×D412yes—
218C4⋊C4×C43C2×D412yes—
219C4⋊C4×C43C2×D412yes—
220C4⋊C4×C43C2412yes—
221C4⋊C4×C43C2412yes—
222C22⋊C4×C43—24no—
223C22⋊C4×C43—24no—
224C22⋊C4×C43—22no—
225C22⋊C4×C43—22no—
226C22⋊C4×C43C2×D414yes—
227C22⋊C4×C43C2×D414yes—
228C42×C43—22no—
229C42×C43—24no—
230C42×C43—24no—
231C42×C43—22no—
232C42×C43C2×D414yes—
233C42×C43C2414yes—
234C22⋊Dic43—22no—
235C22⋊Dic43—22no—
236C4⋊Dic43—22no—
237C4⋊Dic43—22no—
238C4⋊Dic43—22no—
239C4⋊Dic43—28no—
240C4⋊Dic43—21no—
241C4⋊Dic43—21no—
242C4⋊Dic43C2414yes—
243C4⋊Dic43C2412yes—
244C4⋊Dic43C2412yes—
245Dic43⋊C4—28no—
246Dic43⋊C4—28no—
247C4×Dic43—22no—
248C4×Dic43—22no—
249#10621877—24no—
250#10621877—24no—
251#10621877—24no—
252#10621877—24no—
253C2×C43⋊C8—24no—
254C2×C43⋊C8—24no—
255C2×C43⋊C8C2414yes—
256C2×C43⋊C8C2414yes—
257C23×C43—22no—
258C23×C43—24no—
259C23×C43—41no—
260C23×C43—41no—
261C23×C43—81no—
262C23×C43—81no—
263C23×C43C22⋊Q814yes—
264C23×C43C22×D411yescharacteristic
265C23×C43C22×D411yescharacteristic
266C23×C43C22×D411yescharacteristic
267Q8×C43—24no—
268Q8×C43—22no—
269Q8×C43C22×Q814yes—
270D4×C43—28no—
271D4×C43—28no—
272D4×C43—24no—
273D4×C43—22no—
274D4×C43C22×Q814yes—
275C2×C4×C43—24no—
276C2×C4×C43—22no—
277C2×C4×C43—28no—
278C2×C4×C43—28no—
279C2×C4×C43—22no—
280C2×C4×C43—22no—
281C2×C4×C43—42no—
282C2×C4×C43—42no—
283C2×C4×C43—84no—
284C2×C4×C43—84no—
285C2×C4×C43—81no—
286C2×C4×C43—81no—
287C2×C4×C43C22⋊Q814yes—
288C2×C4×C43C22⋊Q814yes—
289C2×C4×C43C22⋊Q814yes—
290C2×C4×C43C22×D414yes—
291C2×C4×C43C22×D414yes—
292C2×C4×C43C22×D411yescharacteristic
293C2×C4×C43C22×D411yescharacteristic
294C2×C4×C43C22×D411yescharacteristic
295C2×C4×C43C22×Q812yes—
296C2×C4×C43C22×Q812yes—
297C2×C4×C43C22×Q812yes—
298C2×C4×C43C2×#4112yes—
299C2×C4×C43C2×#4112yes—
300C2×C4×C43C2×#4112yes—
301C2×C4×C43C2511yescharacteristic
302C2×Dic43—22no—
303C2×Dic43—22no—
304C2×Dic43—24no—
305C2×Dic43—42no—
306C2×Dic43—44no—
307C2×Dic43—42no—
308C2×Dic43—82no—
309C2×Dic43—82no—
310Dic86—88no—
311C43⋊C8—24no—
312C43⋊C8—24no—
313#60493—431nomaximal, Sylow
314C22×C43—21no—
315C22×C43—21no—
316C22×C43—21no—
317C22×C43—21no—
318C22×C43—21no—
319C22×C43—21no—
320C22×C43—24no—
321C22×C43—44no—
322C22×C43—42no—
323C22×C43—42no—
324C22×C43—84no—
325C22×C43C2×C22⋊Q812yes—
326C22×C43C2×C22⋊Q812yes—
327C22×C43C2×C22⋊Q812yes—
328C22×C43C23×D411yescharacteristic
329C4×C43—24no—
330C4×C43—24no—
331C4×C43—24no—
332C4×C43—42no—
333C4×C43—42no—
334C4×C43C2×C22⋊Q812yes—
335C4×C43C2×C22⋊Q812yes—
336C4×C43C2×C22⋊Q812yes—
337C4×C43C23×Q811yescharacteristic
338C4×C43C22×#4111yescharacteristic
339Dic43—42no—
340Dic43—44no—
341Dic43—42no—
342C2×#544—431no—
343#3428D4311yescharacteristic
344#3084—434no—
345#3083—434no—
346#3082—434no—
347#3081—434no—
348#3080—434no—
349#3079—434no—
350#2911—431no—
351C2×#428—431no—
352#2905—431no—
353#2896—431no—
354C2×#417—431no—
355C2×C43—22no—
356C2×C43—22no—
357C2×C43—22no—
358C2×C43—44no—
359C2×C43C22×C22⋊Q811yescharacteristic
360C2×C43#358511yescharacteristic
361C2×C43#358611yescharacteristic
362C22×#41C2×D4311yescharacteristic
363C22×M16—431no—
364C22×M16—431no—
365#544—434no—
366#544—434no—
367#544—862no—
368#544—862no—
369C2×C4⋊Q8—432no—
370C2×C4⋊Q8—861no—
371C2×#125—432no—
372C2×#125—861no—
373C2×C22⋊Q8—862no—
374#520—21no—
375#520—21no—
376#520C2×D4312yes—
377#520C2×D4312yes—
378#519C2×D4312yes—
379#518—22no—
380#518C2×D4312yes—
381C4×#41—22no—
382C4×#41C2×D4314yes—
383C2×#117—22no—
384C2×#117—431no—
385C2×#117C2×D4311yescharacteristic
386C2×#117C2×D4311yescharacteristic
387C22×C4⋊C4—431no—
388#479—438no—
389#479—438no—
390#478—438no—
391#478—438no—
392#477—438no—
393#476—438no—
394#475—438no—
395#474—438no—
396#428—432no—
397#428—434no—
398#428—432no—
399#428—434no—
400#428—432no—
401#428—432no—
402#427—434no—
403C2×#107—432no—
404C2×#106—432no—
405#424—434no—
406#424—434no—
407#423—434no—
408#419—432no—
409#418—432no—
410#417—432no—
411#417—434no—
412#417—432no—
413#417—434no—
414#416—434no—
415C2×#103—432no—
416C2×#102—432no—
417C43#6049311yescharacteristic, complemented, Sylow
418C2×#41—24no—
419C2×#41—21no—
420C2×#41—21no—
421C2×#41Dic8618yescomplemented
422C2×#41C22×D4312yes—
423C2×#41C22×D4312yes—
424C22×Q8—862no—
425C22×Q8C22×D4311yescharacteristic
426C22×D4—21no—
427C22×D4C22×D4311yescharacteristic
428C23×C4—21no—
429C23×C4—861no—
430C23×C4C22×D4311yescharacteristic
431C2×M16—432no—
432C2×M16—432no—
433C2×M16—432no—
434C2×M16—432no—
435C2×M16—864no—
436C2×M16—864no—
437C22×C8—432no—
438C22×C8—432no—
439C4⋊Q8—438no—
440C4⋊Q8—864no—
441C4⋊Q8—864no—
442C4⋊Q8—864no—
443#125—438no—
444#125—864no—
445#125—864no—
446#125—864no—
447C22⋊Q8—868no—
448C22⋊Q8—868no—
449C4×Q8—22no—
450C4×Q8—22no—
451C4×Q8C22×D4314yes—
452C4×Q8C22×D4314yes—
453C4×D4—24no—
454C4×D4—24no—
455C4×D4—22no—
456C4×D4—22no—
457C4×D4—24no—
458C4×D4—24no—
459C4×D4C22×D4314yes—
460C4×D4C22×D4314yes—
461#117—21no—
462#117—21no—
463#117—22no—
464#117—22no—
465#117—24no—
466#117—24no—
467#117—432no—
468#117—432no—
469#117—861no—
470#117—861no—
471#117C22⋊D4312yes—
472#117C22⋊D4312yes—
473#117C22×D4312yes—
474#117C22×D4312yes—
475#117C22×D4312yes—
476#117C22×D4312yes—
477C2×C4⋊C4—22no—
478C2×C4⋊C4—22no—
479C2×C4⋊C4—432no—
480C2×C4⋊C4—432no—
481C2×C4⋊C4—432no—
482C2×C4⋊C4—431no—
483C2×C4⋊C4—431no—
484C2×C4⋊C4—861no—
485C2×C4⋊C4—861no—
486C2×C4⋊C4—861no—
487C2×C4⋊C4—862no—
488C2×C4⋊C4—862no—
489C2×C4⋊C4—862no—
490C2×C4⋊C4C22⋊D4311yescharacteristic
491C2×C4⋊C4C22⋊D4311yescharacteristic
492C2×C4⋊C4C22×D4311yescharacteristic
493C2×C4⋊C4C22×D4311yescharacteristic
494C2×C22⋊C4—21no—
495C2×C22⋊C4—24no—
496C2×C22⋊C4—861no—
497C2×C22⋊C4C22⋊D4312yes—
498C2×C42—21no—
499C2×C42—24no—
500C2×C42—861no—
501C2×C42C22×D4312yes—
502#107—438no—
503#107—434no—
504#107—434no—
505#106—438no—
506#106—434no—
507#106—434no—
508C4⋊C8—438no—
509C4⋊C8—438no—
510#103—438no—
511#103—434no—
512#103—434no—
513#102—438no—
514#102—434no—
515#102—434no—
516C24—21no—
517C24C2×C22⋊D4311yescharacteristic
518#41—28no—
519#41—28no—
520#41—24no—
521#41—24no—
522#41C2×Dic8618yes—
523#41C2×Dic8618yescomplemented
524C2×Q8—21no—
525C2×Q8—22no—
526C2×Q8—868no—
527C2×Q8—3444no—
528C2×Q8C2×Dic8614yescomplemented
529C2×Q8C23×D4312yes—
530C2×D4—28no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—21no—
534C2×D4—22no—
535C2×D4C2×Dic8614yescomplemented
536C2×D4C23×D4312yes—
537C22×C4—21no—
538C22×C4—28no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—24no—
544C22×C4—24no—
545C22×C4—862no—
546C22×C4—862no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4—862no—
550C22×C4—3442no—
551C22×C4C2×Dic8614yes—
552C22×C4#1062189814yes—
553C22×C4C2×C22⋊D4312yes—
554C22×C4C2×C22⋊D4312yes—
555C22×C4C2×C22⋊D4311yescharacteristic
556C22×C4C2×C22⋊D4311yescharacteristic
557C22×C4C2×C22⋊D4311yescharacteristic
558C22×C4C23×D4311yescharacteristic
559C22×C4C23×D4311yescharacteristic
560C22×C4C23×D4311yescharacteristic
561M16—864no—
562M16—864no—
563M16—864no—
564M16—864no—
565C2×C8—434no—
566C2×C8—434no—
567C2×C8—864no—
568C2×C8—864no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—24no—
572C4⋊C4—24no—
573C4⋊C4—434no—
574C4⋊C4—432no—
575C4⋊C4—432no—
576C4⋊C4—862no—
577C4⋊C4—862no—
578C4⋊C4—862no—
579C4⋊C4—861no—
580C4⋊C4—861no—
581C4⋊C4—868no—
582C4⋊C4—868no—
583C4⋊C4—868no—
584C4⋊C4C2×C22⋊D4312yes—
585C4⋊C4C2×C22⋊D4312yes—
586C4⋊C4C2×C22⋊D4312yes—
587C4⋊C4C2×C22⋊D4312yes—
588C4⋊C4C23×D4312yes—
589C4⋊C4C23×D4312yes—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—24no—
593C22⋊C4—24no—
594C22⋊C4—862no—
595C22⋊C4—862no—
596C22⋊C4C2×C22⋊D4314yes—
597C22⋊C4C2×C22⋊D4314yes—
598C42—22no—
599C42—24no—
600C42—24no—
601C42—22no—
602C42—862no—
603C42—862no—
604C42C2×C22⋊D4314yes—
605C42C23×D4314yes—
606C23—22no—
607C23—24no—
608C23—41no—
609C23—41no—
610C23—81no—
611C23—81no—
612C23#1306330414yes—
613C23C22×C22⋊D4311yescharacteristic
614C23C22×C22⋊D4311yescharacteristic
615C23C22×C22⋊D4311yescharacteristic
616Q8—24no—
617Q8—22no—
618Q8—3448no—
619Q8C22×Dic8614yes—
620D4—28no—
621D4—28no—
622D4—24no—
623D4—22no—
624D4C22×Dic8614yes—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—28no—
628C2×C4—28no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—84no—
634C2×C4—84no—
635C2×C4—81no—
636C2×C4—81no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—864no—
640C2×C4—3442no—
641C2×C4—3442no—
642C2×C4—1724no—
643C2×C4—1722no—
644C2×C4—1722no—
645C2×C4#1306330414yes—
646C2×C4#1306330414yes—
647C2×C4#1306330414yes—
648C2×C4C22×C22⋊D4314yes—
649C2×C4C22×C22⋊D4314yes—
650C2×C4C22×C22⋊D4311yescharacteristic
651C2×C4C22×C22⋊D4311yescharacteristic
652C2×C4C22×C22⋊D4311yescharacteristic
653C2×C4C22×Dic8612yes—
654C2×C4C22×Dic8612yes—
655C2×C4C22×Dic8612yes—
656C2×C4C2×#1062189812yes—
657C2×C4C2×#1062189812yes—
658C2×C4C2×#1062189812yes—
659C2×C4C24×D4311yescharacteristic
660C8—864no—
661C8—864no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—24no—
669C22—44no—
670C22—42no—
671C22—42no—
672C22—84no—
673C22C2×#1306330412yes—
674C22C2×#1306330412yes—
675C22C2×#1306330412yes—
676C22C23×C22⋊D4311yescharacteristic
677C4—24no—
678C4—24no—
679C4—24no—
680C4—42no—
681C4—42no—
682C4—1724no—
683C4—1722no—
684C4—1722no—
685C4C2×#1306330412yes—
686C4C2×#1306330412yes—
687C4C2×#1306330412yes—
688C4C23×Dic8611yescharacteristic
689C4C22×#1062189811yescharacteristic
690C2—22no—
691C2—22no—
692C2—22no—
693C2—44no—
694C2C22×#1306330411yescharacteristic
695C2#1914937411yescharacteristic
696C2#1914938111yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3428C2
socleC22×C43C23×D4
prime radicalC22×#41×C43C22
hypercenter#3428D43
hypocenterC43#60493
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#117 ◁ #3428

Complements

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

NH ≅ G/Ntype
1. C2×#14583527C2semidirect
2. #19144457C2semidirect
3. #19144446C2semidirect
4. #19144437C2semidirect
5. #19144426C2semidirect
6. #19144417C2semidirect
7. #19144410C2semidirect
8. #19143184C2semidirect
9. C2×#14582942C2semidirect
10. #19143159C2semidirect
19. #14583527C22semidirect
20. C2×#13063325C22semidirect
22. C2×#13063317C22semidirect
27. #14583206C22semidirect
28. #14583206C22semidirect
29. #14583199C22semidirect
30. #14583199C22semidirect
31. #14583194C22semidirect
32. #14583189C22semidirect
33. #14583184C22semidirect
34. #14583179C22semidirect
36. #14582942C22semidirect
37. #14582942C22semidirect
38. #14582942C22semidirect
39. #14582939C22semidirect
40. #14582939C22semidirect
42. C2×#13063258C22semidirect
43. C2×#13063256C22semidirect
45. #14582926C22semidirect
46. #14582923C22semidirect
123. C2×#41×C43Q8semidirect
174. #41×C43C2×Q8semidirect
177. C2×Q8×C43C2×Q8semidirect
184. C2×D4×C43C2×Q8semidirect
417. C43#60493semidirect
421. C2×#41Dic86semidirect
523. #41C2×Dic86semidirect
528. C2×Q8C2×Dic86semidirect
535. C2×D4C2×Dic86semidirect

Maximal subgroups

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

subgroupindex
C2×#145835272
#191444572
#191444462
#191444372
#191444262
#191444172
#191444102
#191431842
C2×#145829422
#191431592
#191431142
C2×#145829002
C43×#34282
#6049343