Finite Group Databasebeta

← C2×#86724 #11703460

Subgroups — C2×#86724 #11703460

Order 768.

7226 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#548C211yesmaximal, characteristic, complemented
2C2×#5834C211yesmaximal, characteristic, complemented
3C2×#5827C211yesmaximal, characteristic, complemented
4C2×#5817C211yesmaximal, characteristic, complemented
5C2×#5812C211yesmaximal, characteristic, complemented
6#86724C2132yesmaximal, direct product factor
7C2×#5681C213yesmaximal, complemented
8C2×#5680C213yesmaximal, complemented
9C2×#5642C213yesmaximal, complemented
10C2×#5643C213yesmaximal, complemented
11C2×#5616C213yesmaximal, complemented
12C2×#5619C213yesmaximal, complemented
13C2×#5569C211yesmaximal, characteristic, complemented
14C2×C4×#239C211yesmaximal, characteristic, complemented
15C2×#5557C213yesmaximal, complemented
16C2×#5565C213yesmaximal, complemented
17C2×#3524—31nomaximal, Sylow
18C22×C3×#41C2211yescharacteristic
19C23×C3×Q8C2211yescharacteristic
20C22×#239C2211yescharacteristic
21C3×#548C22116yescomplemented
22C2×C3×#124C2213yes—
23C2×C3×C22⋊Q8C2213yes—
24C2×C3×#121C2213yes—
25C2×C3×C4×Q8C2211yescharacteristic
26C2×C3×C4×D4C2213yes—
27#5834C22116yescomplemented
28#5827C22116yescomplemented
29#5817C22116yescomplemented
30C2×#947C2213yes—
31C2×#946C2213yes—
32#5812C22116yescomplemented
33C2×Q8×Dic3C2211yescharacteristic
34C2×Q8×Dic3C2211yescharacteristic
35C2×Q8×Dic3C2211yescharacteristic
36C2×Q8×Dic3C2213yes—
37C2×Q8×Dic3C2213yes—
38C2×#940C2213yes—
39C2×#939C2216yes—
40C2×#938C2213yes—
41C2×#938C2213yes—
42C2×#936C2213yes—
43C2×D4×Dic3C2213yes—
44C2×D4×Dic3C2213yes—
45C2×#930C2213yes—
46C2×#930C2213yes—
47C2×C4×#67C2213yes—
48C2×C4×#67C2213yes—
49C2×#926C2213yes—
50C2×#926C2213yes—
51C2×#926C2213yes—
52C22×C4⋊Dic3C2213yes—
53#5681C22148yescomplemented
54#5680C22148yescomplemented
55#5643C22148yescomplemented
56#5642C22148yescomplemented
57#5619C22148yescomplemented
58#5616C22148yescomplemented
59C4×#239C22116yescomplemented
60#5569C22116yescomplemented
61#5565C22148yescomplemented
62#5557C22148yescomplemented
63C2×#898C2216yes—
64C2×#897C2213yes—
65C2×#893C2213yes—
66C2×#892C2213yes—
67C2×#890C2213yes—
68C2×#890C2213yes—
69C2×#888C2213yes—
70C2×#886C2216yes—
71C2×#885C2216yes—
72C2×#883C2213yes—
73C2×#883C2213yes—
74C2×#883C2216yes—
75C2×#67⋊C4C2216yes—
76C2×#879C2211yescharacteristic
77C2×#879C2213yes—
78C2×#877C2216yes—
79C2×C4×D12C2213yes—
80C2×C42×D3C2213yes—
81C2×#870C2213yes—
82C2×C4×Dic6C2213yes—
83#3524—332no—
84C2×#559—33no—
85C2×#557—31no—
86C2×#555—33no—
87C2×#553—33no—
88C2×#552—33no—
89C2×#550—31no—
90C2×#548—31no—
91C2×#548D311yescharacteristic, complemented
92C2×#542—33no—
93C2×#540—33no—
94C2×#529—33no—
95C2×#529—33no—
96C2×#520—31no—
97C2×#519—31no—
98C2×C4×#41—31no—
99C2×C3×#41—28no—
100C2×C3×#41C2318yes—
101C22×C3×Q8—28no—
102C22×C3×Q8C2313yes—
103C22×C3×Q8C2318yes—
104C22×C3×Q8C2311yescharacteristic
105C22×C3×D4C2313yes—
106C22×C3×D4C2313yes—
107C23×C3×C4C2313yes—
108C23×C3×C4C2313yes—
109C22×#67C2316yes—
110C22×#67C2313yes—
111C22×#67C2313yes—
112C23×Dic3C2316yes—
113C2×#239—28no—
114C2×#239C2318yes—
115C22×D12C2313yes—
116C22×C4×D3C2313yes—
117C22×C4×D3C2313yes—
118C22×C4×D3C2313yes—
119C22×Dic6C2313yes—
120C3×#124C23124yes—
121C3×C22⋊Q8C23124yes—
122C3×#121C23124yes—
123C3×C4×Q8C2318yes—
124C3×C4×D4C23124yes—
125C2×C3×C4⋊C4C2313yes—
126C2×C3×C4⋊C4C2313yes—
127C2×C3×C22⋊C4C2316yes—
128C2×C3×C22⋊C4C2313yes—
129C2×C3×C22⋊C4C2311yescharacteristic
130C2×C3×C42C2313yes—
131C2×#217C2313yes—
132C2×#217C2313yes—
133C2×#217C2311yescharacteristic
134C2×#217C2311yescharacteristic
135C2×#217C2313yes—
136C2×#217C2313yes—
137#947C23124yes—
138#946C23124yes—
139Q8×Dic3C23124yes—
140Q8×Dic3C23124yes—
141Q8×Dic3C2318yes—
142Q8×Dic3C2318yes—
143Q8×Dic3C2318yes—
144#940C23124yes—
145#939C23148yes—
146#938C23124yes—
147#938C23124yes—
148#936C23124yes—
149D4×Dic3C23124yes—
150D4×Dic3C23124yes—
151#930C23124yes—
152#930C23124yes—
153C4×#67C23124yes—
154C4×#67C23124yes—
155C2×(C2×D3)⋊C4C2316yes—
156C2×(C2×D3)⋊C4C2316yes—
157C2×(C2×D3)⋊C4C2313yes—
158C2×(C2×D3)⋊C4C2313yes—
159#926C23124yes—
160#926C23124yes—
161#926C23124yes—
162C2×C4⋊Dic3C23124yes—
163C2×C4⋊Dic3C2313yes—
164C2×C4⋊Dic3C2313yes—
165C2×C4⋊Dic3C2313yes—
166C2×C4⋊Dic3C2313yes—
167C2×C4⋊Dic3C2313yes—
168C2×C4⋊Dic3C2311yescharacteristic
169C2×C4⋊Dic3C2313yes—
170C2×C4⋊Dic3C2313yes—
171C2×Dic3⋊C4C2311yescharacteristic
172C2×Dic3⋊C4C2313yes—
173C2×Dic3⋊C4C2316yes—
174C2×Dic3⋊C4C2313yes—
175C2×Dic3⋊C4C2311yescharacteristic
176C2×C4×Dic3C2313yes—
177C2×C4×Dic3C2313yes—
178C2×C4×Dic3C2311yescharacteristic
179C2×C4×Dic3C2313yes—
180C2×C4×Dic3C2313yes—
181C2×C4×Dic3C2316yes—
182#898C23148yes—
183#897C23124yes—
184#893C23124yes—
185#892C23124yes—
186#890C23124yes—
187#890C23124yes—
188#888C23124yes—
189#886C23148yes—
190#885C23148yes—
191#883C23148yes—
192#883C23124yes—
193#883C23124yes—
194#67⋊C4C23148yes—
195#879C23124yes—
196#879C2318yes—
197#877C23148yes—
198C4×D12C23124yes—
199C42×D3C23124yes—
200#870C23124yes—
201C4×Dic6C23124yes—
202C22×#41—31no—
203C22×#41C2×D311yescharacteristic
204C23×Q8C2×D311yescharacteristic
205#559—348no—
206#557—316no—
207#555—348no—
208#553—348no—
209#552—348no—
210#550—316no—
211#548—316no—
212#548C2×D3116yescomplemented
213#542—348no—
214#540—348no—
215C2×C4⋊Q8—33no—
216C2×#127—33no—
217#529—348no—
218#529—348no—
219C2×#126—36no—
220C2×#126—31no—
221C2×#126—33no—
222C2×#125—33no—
223C2×#125—33no—
224C2×#125—33no—
225C2×#124—33no—
226C2×#124—33no—
227C2×#124—36no—
228C2×#124C2×D313yes—
229C2×#123—36no—
230C2×#123—33no—
231C2×#123—33no—
232C2×#123—36no—
233C2×C22⋊Q8—33no—
234C2×C22⋊Q8—33no—
235C2×C22⋊Q8C2×D313yes—
236C2×#121—33no—
237C2×#121—33no—
238C2×#121—36no—
239C2×#121—33no—
240C2×#121—33no—
241C2×#121C2×D313yes—
242#520—316no—
243#519—316no—
244C4×#41—316no—
245C2×C4×Q8—31no—
246C2×C4×Q8—33no—
247C2×C4×Q8—31no—
248C2×C4×Q8—33no—
249C2×C4×Q8—31no—
250C2×C4×Q8—33no—
251C2×C4×Q8C2×D311yescharacteristic
252C2×C4×D4—33no—
253C2×C4×D4—33no—
254C2×C4×D4—33no—
255C2×C4×D4—33no—
256C2×C4×D4—33no—
257C2×C4×D4—36no—
258C2×C4×D4—33no—
259C2×C4×D4C2×D313yes—
260C2×#117—33no—
261C2×#117—33no—
262C2×#117—33no—
263C2×#117—33no—
264C2×#117—36no—
265C22×C4⋊C4—33no—
266C22×C42—33no—
267C24×C3C2411yescharacteristic
268C24×C3C2413yes—
269C23×D3C2413yes—
270C3×#41—232no—
271C2×C3×Q8—232no—
272C2×C3×Q8—212no—
273C2×C3×Q8#4118yes—
274C2×C3×Q8C24112yes—
275C2×C3×Q8C2414yes—
276C2×C3×D4—212no—
277C2×C3×D4—46no—
278C2×C3×D4C24112yes—
279C2×C3×D4C24112yes—
280C22×C3×C4—212no—
281C22×C3×C4—212no—
282C22×C3×C4C2413yes—
283C22×C3×C4C2411yescharacteristic
284C22×C3×C4C2413yes—
285C22×C3×C4C2411yescharacteristic
286C22×C3×C4C24112yes—
287C22×C3×C4C24112yes—
288C22×C3×C4C2413yes—
289C2×#67—412no—
290C2×#67—46no—
291C2×#67—46no—
292C2×#67C24124yes—
293C2×#67C24112yes—
294C2×#67C24112yes—
295C22×Dic3—412no—
296C22×Dic3C2411yescharacteristic
297C22×Dic3C2413yes—
298C22×Dic3C2411yescharacteristic
299C22×Dic3C2413yes—
300C22×Dic3C2411yescharacteristic
301C22×Dic3C2411yescharacteristic
302C22×Dic3C2413yes—
303C22×Dic3C24124yes—
304#239—232no—
305C2×D12—212no—
306C2×D12C24112yes—
307C2×C4×D3—212no—
308C2×C4×D3—46no—
309C2×C4×D3—46no—
310C2×C4×D3C24112yes—
311C2×C4×D3C24112yes—
312C2×C4×D3C24112yes—
313C2×Dic6—46no—
314C2×Dic6C24112yes—
315C3×C4⋊C4C24112yes—
316C3×C4⋊C4C24112yes—
317C3×C22⋊C4C24124yes—
318C3×C22⋊C4C24112yes—
319C3×C22⋊C4C2414yes—
320C3×C42C24112yes—
321#217C24112yes—
322#217C24112yes—
323#217C2414yes—
324#217C2414yes—
325#217C24112yes—
326#217C24112yes—
327(C2×D3)⋊C4C24124yes—
328(C2×D3)⋊C4C24124yes—
329(C2×D3)⋊C4C24112yes—
330(C2×D3)⋊C4C24112yes—
331C4⋊Dic3C24112yes—
332C4⋊Dic3C24112yes—
333C4⋊Dic3C24112yes—
334C4⋊Dic3C24112yes—
335C4⋊Dic3C24112yes—
336C4⋊Dic3C2414yes—
337C4⋊Dic3C24112yes—
338C4⋊Dic3C24112yes—
339Dic3⋊C4C2414yes—
340Dic3⋊C4C24112yes—
341Dic3⋊C4C24124yes—
342Dic3⋊C4C24112yes—
343Dic3⋊C4C2414yes—
344C4×Dic3C24112yes—
345C4×Dic3C24112yes—
346C4×Dic3C2414yes—
347C4×Dic3C24112yes—
348C4×Dic3C24112yes—
349C4×Dic3C24124yes—
350C2×#41—28no—
351C2×#41—38no—
352C2×#41—68no—
353C2×#41C22×D318yes—
354C22×Q8—28no—
355C22×Q8—33no—
356C22×Q8C22×D313yes—
357C22×Q8C22×D318yes—
358C22×Q8C22×D311yescharacteristic
359C22×D4—33no—
360C22×D4—36no—
361C22×D4—33no—
362C22×D4—33no—
363C22×D4C22×D313yes—
364C22×D4C22×D313yes—
365C23×C4—36no—
366C23×C4—33no—
367C23×C4—33no—
368C23×C4—33no—
369C23×C4C22×D313yes—
370C23×C4C22×D313yes—
371C4⋊Q8—324no—
372#127—324no—
373#126—348no—
374#126—38no—
375#126—324no—
376#125—324no—
377#125—324no—
378#125—324no—
379#124—324no—
380#124—324no—
381#124—348no—
382#124C22×D3124yes—
383#123—348no—
384#123—324no—
385#123—324no—
386#123—348no—
387C22⋊Q8—324no—
388C22⋊Q8—324no—
389C22⋊Q8C22×D3124yes—
390#121—324no—
391#121—324no—
392#121—348no—
393#121—324no—
394#121—324no—
395#121C22×D3124yes—
396C4×Q8—38no—
397C4×Q8—324no—
398C4×Q8—38no—
399C4×Q8—324no—
400C4×Q8—38no—
401C4×Q8—324no—
402C4×Q8C22×D318yes—
403C4×D4—324no—
404C4×D4—324no—
405C4×D4—324no—
406C4×D4—324no—
407C4×D4—324no—
408C4×D4—348no—
409C4×D4—324no—
410C4×D4C22×D3124yes—
411#117—324no—
412#117—324no—
413#117—324no—
414#117—324no—
415#117—348no—
416C2×C4⋊C4—33no—
417C2×C4⋊C4—33no—
418C2×C4⋊C4—33no—
419C2×C4⋊C4—324no—
420C2×C4⋊C4—31no—
421C2×C4⋊C4—33no—
422C2×C4⋊C4—33no—
423C2×C4⋊C4—33no—
424C2×C4⋊C4—33no—
425C2×C4⋊C4—36no—
426C2×C4⋊C4—31no—
427C2×C4⋊C4—33no—
428C2×C4⋊C4—31no—
429C2×C4⋊C4—33no—
430C2×C4⋊C4C22×D313yes—
431C2×C4⋊C4C22×D313yes—
432C2×C22⋊C4—31no—
433C2×C22⋊C4—33no—
434C2×C22⋊C4—33no—
435C2×C22⋊C4—33no—
436C2×C22⋊C4—33no—
437C2×C22⋊C4—31no—
438C2×C22⋊C4—36no—
439C2×C22⋊C4—33no—
440C2×C22⋊C4—36no—
441C2×C22⋊C4—33no—
442C2×C22⋊C4C22×D316yes—
443C2×C22⋊C4C22×D313yes—
444C2×C22⋊C4C22×D311yescharacteristic
445C2×C42—33no—
446C2×C42—33no—
447C2×C42—36no—
448C2×C42—33no—
449C2×C42—33no—
450C2×C42—31no—
451C2×C42—324no—
452C2×C42C22×D313yes—
453C23×C3—22no—
454C23×C3—26no—
455C23×C3—26no—
456C23×C3—22no—
457C23×C3—26no—
458C23×C3—22no—
459C23×C3C2512yes—
460C23×C3C2516yes—
461C23×C3C2511yescharacteristic
462C22×D3—26no—
463C22×D3—26no—
464C22×D3—26no—
465C22×D3C2516yes—
466C3×Q8—224no—
467C3×Q8C2×#41116yes—
468C3×D4—224no—
469C3×D4—412no—
470C2×C3×C4—22no—
471C2×C3×C4—26no—
472C2×C3×C4—26no—
473C2×C3×C4—22no—
474C2×C3×C4—224no—
475C2×C3×C4—224no—
476C2×C3×C4C2×#41112yes—
477C2×C3×C4C2516yes—
478C2×C3×C4C2512yes—
479C2×C3×C4C2516yes—
480C2×C3×C4C2512yes—
481C2×C3×C4C2516yes—
482#67—424no—
483#67—412no—
484#67—412no—
485C2×Dic3—22no—
486C2×Dic3—22no—
487C2×Dic3—26no—
488C2×Dic3—22no—
489C2×Dic3—26no—
490C2×Dic3—26no—
491C2×Dic3—22no—
492C2×Dic3—424no—
493C2×Dic3C2512yes—
494C2×Dic3C2516yes—
495C2×Dic3C2512yes—
496C2×Dic3C2516yes—
497C2×Dic3C2512yes—
498C2×Dic3C2512yes—
499C2×Dic3C2516yes—
500D12—224no—
501C4×D3—224no—
502C4×D3—412no—
503C4×D3—412no—
504Dic6—412no—
505C24—33no—
506C24C23×D311yescharacteristic
507C24C23×D313yes—
508#41—232no—
509#41—632no—
510C2×Q8—232no—
511C2×Q8—212no—
512C2×Q8—312no—
513C2×Q8—126no—
514C2×Q8#23718yes—
515C2×Q8C23×D3112yes—
516C2×Q8C23×D314yes—
517C2×D4—212no—
518C2×D4—312no—
519C2×D4—324no—
520C2×D4—312no—
521C2×D4—312no—
522C2×D4—46no—
523C2×D4—612no—
524C2×D4—1212no—
525C2×D4—126no—
526C2×D4—126no—
527C2×D4C23×D3112yes—
528C2×D4C23×D3112yes—
529C22×C4—212no—
530C22×C4—212no—
531C22×C4—31no—
532C22×C4—31no—
533C22×C4—33no—
534C22×C4—31no—
535C22×C4—33no—
536C22×C4—31no—
537C22×C4—33no—
538C22×C4—324no—
539C22×C4—312no—
540C22×C4—312no—
541C22×C4—312no—
542C22×C4—612no—
543C22×C4—126no—
544C22×C4—126no—
545C22×C4—1212no—
546C22×C4C23×D3112yes—
547C22×C4C23×D3112yes—
548C22×C4C23×D313yes—
549C22×C4C23×D311yescharacteristic
550C22×C4C23×D313yes—
551C22×C4C23×D311yescharacteristic
552C22×C4C23×D313yes—
553C4⋊C4—312no—
554C4⋊C4—312no—
555C4⋊C4—312no—
556C4⋊C4—34no—
557C4⋊C4—312no—
558C4⋊C4—312no—
559C4⋊C4—312no—
560C4⋊C4—312no—
561C4⋊C4—324no—
562C4⋊C4—34no—
563C4⋊C4—312no—
564C4⋊C4—34no—
565C4⋊C4—312no—
566C4⋊C4C23×D3112yes—
567C4⋊C4C23×D3112yes—
568C22⋊C4—34no—
569C22⋊C4—312no—
570C22⋊C4—312no—
571C22⋊C4—312no—
572C22⋊C4—312no—
573C22⋊C4—34no—
574C22⋊C4—324no—
575C22⋊C4—312no—
576C22⋊C4—324no—
577C22⋊C4—312no—
578C22⋊C4C23×D3124yes—
579C22⋊C4C23×D3112yes—
580C22⋊C4C23×D314yes—
581C42—34no—
582C42—312no—
583C42—312no—
584C42—324no—
585C42—312no—
586C42—312no—
587C42C23×D3112yes—
588C22×C3—22no—
589C22×C3—26no—
590C22×C3—26no—
591C22×C3—22no—
592C22×C3—26no—
593C22×C3—22no—
594C22×C3—44no—
595C22×C3—412no—
596C22×C3C22×#4112yes—
597C22×C3#58512yes—
598C22×C3#58512yes—
599C22×C3C2611yescharacteristic
600C2×D3—26no—
601C2×D3—26no—
602C2×D3—26no—
603C2×D3—412no—
604C3×C4—22no—
605C3×C4—26no—
606C3×C4—26no—
607C3×C4—22no—
608C3×C4C22×#41112yes—
609Dic3—22no—
610Dic3—22no—
611Dic3—26no—
612Dic3—22no—
613Dic3—26no—
614Dic3—26no—
615Dic3—22no—
616C23—22no—
617C23—26no—
618C23—22no—
619C23—26no—
620C23—26no—
621C23—22no—
622C23—36no—
623C23—66no—
624C23—66no—
625C23—66no—
626C23C24×D312yes—
627C23C24×D316yes—
628C23C24×D311yescharacteristic
629Q8—224no—
630Q8—1212no—
631Q8C2×#237116yes—
632D4—224no—
633D4—412no—
634D4—624no—
635D4—1224no—
636D4—1212no—
637D4—1212no—
638C2×C4—22no—
639C2×C4—26no—
640C2×C4—26no—
641C2×C4—22no—
642C2×C4—224no—
643C2×C4—224no—
644C2×C4—32no—
645C2×C4—32no—
646C2×C4—36no—
647C2×C4—32no—
648C2×C4—36no—
649C2×C4—32no—
650C2×C4—36no—
651C2×C4—62no—
652C2×C4—62no—
653C2×C4—66no—
654C2×C4—62no—
655C2×C4—66no—
656C2×C4—66no—
657C2×C4—62no—
658C2×C4—624no—
659C2×C4—1212no—
660C2×C4—1212no—
661C2×C4—1224no—
662C2×C4C2×#237112yes—
663C2×C4C24×D316yes—
664C2×C4C24×D312yes—
665C2×C4C24×D316yes—
666C2×C4C24×D312yes—
667C2×C4C24×D316yes—
668C2×C3—42no—
669C2×C3—46no—
670C2×C3#352414yescomplemented
671C2×C3C23×#4111yescharacteristic
672C2×C3C2×#58511yescharacteristic
673C2×C3C2×#58511yescharacteristic
674D3—46no—
675C22—22no—
676C22—26no—
677C22—22no—
678C22—26no—
679C22—26no—
680C22—22no—
681C22—44no—
682C22—412no—
683C22—66no—
684C22—66no—
685C22—66no—
686C22—1212no—
687C22C22×#23712yes—
688C22#596412yes—
689C22#596812yes—
690C22C25×D311yescharacteristic
691C4—22no—
692C4—26no—
693C4—26no—
694C4—22no—
695C4—62no—
696C4—62no—
697C4—66no—
698C4—62no—
699C4—66no—
700C4—66no—
701C4—62no—
702C4C22×#237112yes—
703C3C2×#352411yescharacteristic, complemented, Sylow
704C2—42no—
705C2—46no—
706C2—126no—
707C2#8672414yesdirect product factor
708C2C23×#23711yescharacteristic
709C2C2×#596411yescharacteristic
710C2C2×#596811yescharacteristic
subgroupG/H
centerC23C24×D3
commutator, cosocleC22×C3C26
FrattiniC22C25×D3
FittingC2×C3×#548C2
socleC23×C3C25
hypercenterC2×#548D3
hypocenterC3C2×#3524
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#548

Complements

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

NH ≅ G/Ntype
1. C2×C3×#548C2semidirect
2. C2×#5834C2semidirect
3. C2×#5827C2semidirect
4. C2×#5817C2semidirect
5. C2×#5812C2semidirect
6. #86724C2direct (N × H)
7. C2×#5681C2semidirect
8. C2×#5680C2semidirect
9. C2×#5642C2semidirect
10. C2×#5643C2semidirect
11. C2×#5616C2semidirect
12. C2×#5619C2semidirect
13. C2×#5569C2semidirect
14. C2×C4×#239C2semidirect
15. C2×#5557C2semidirect
16. C2×#5565C2semidirect
21. C3×#548C22semidirect
27. #5834C22semidirect
28. #5827C22semidirect
29. #5817C22semidirect
32. #5812C22semidirect
53. #5681C22semidirect
54. #5680C22semidirect
55. #5643C22semidirect
56. #5642C22semidirect
57. #5619C22semidirect
58. #5616C22semidirect
59. C4×#239C22semidirect
60. #5569C22semidirect
61. #5565C22semidirect
62. #5557C22semidirect
91. C2×#548D3semidirect
212. #548C2×D3semidirect
670. C2×C3#3524semidirect
703. C3C2×#3524semidirect
707. C2#86724direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#5482
C2×#58342
C2×#58272
C2×#58172
C2×#58122
#867242
C2×#56812
C2×#56802
C2×#56422
C2×#56432
C2×#56162
C2×#56192
C2×#55692
C2×C4×#2392
C2×#55572
C2×#55652
C2×#35243