Finite Group Databasebeta

← C2×#83792 #11659490

Subgroups — C2×#83792 #11659490

Order 768.

2666 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
1C22×C3×#131C211yesmaximal, characteristic, complemented
2C2×#5822C211yesmaximal, characteristic
3C22×#901C211yesmaximal, characteristic, complemented
4C2×#5236C211yesmaximal, characteristic, complemented
5#83792C2116yesmaximal, direct product factor
6C2×#5145C214yesmaximal, complemented
7C2×#5144C214yesmaximal, complemented
8C2×#5139C211yesmaximal, characteristic, complemented
9C2×#5124C211yesmaximal, characteristic, complemented
10C2×#5101C211yesmaximal, characteristic, complemented
11C2×#2955—31nomaximal, Sylow
12C22×C3×#41C2211yescharacteristic
13C22×#235C2211yescharacteristic
14C2×C3×#131—21no—
15C2×C3×#131—21no—
16C2×C3×#131—24no—
17C2×C3×#131C2212yescomplemented
18C2×C3×#131C2212yescomplemented
19C2×C3×#131C2218yescomplemented
20C22×C3×M16—21no—
21C22×C3×M16C2211yescharacteristic
22C23×C3×C8—21no—
23C23×C3×C8C2211yescharacteristic
24C2×#951C412yescomplemented
25#5822C418yescomplemented
26#5822C2218yes—
27C2×#950C2214yes—
28C2×#949C412yescomplemented
29C2×#942C412yescomplemented
30C2×#932C412yescomplemented
31C2×#926C2211yescharacteristic
32C22×#208C2211yescharacteristic
33C22×#208C2211yescharacteristic
34C2×#901—21no—
35C2×#901—21no—
36C2×#901—24no—
37C2×#901C2212yescomplemented
38C2×#901C2212yescomplemented
39C2×#901C2218yescomplemented
40C22×ΓL(1,𝔽25)—21no—
41C22×D3×C8—21no—
42#5236C2218yescomplemented
43C2×#837C2214yescomplemented
44#5145C22132yescomplemented
45#5144C22132yescomplemented
46#5139C2218yescomplemented
47C2×#825C2214yescomplemented
48#5124C2218yescomplemented
49C2×#822C2214yescomplemented
50#5101C2218yescomplemented
51C2×#815C2212yescomplemented
52C2×C8×Dic3C2212yescomplemented
53C2×#575—31no—
54C22×#131—31no—
55C22×#131D311yescharacteristic, complemented
56#2955—316no—
57C2×#444—34no—
58C2×#443—34no—
59C2×#430—31no—
60C2×#421—31no—
61C2×#421—31no—
62C2×#405—31no—
63C2×C3×#41—21no—
64C2×C3×#41—22no—
65C2×C3×#41—21no—
66C2×C3×#41—22no—
67C2×C3×#41C2×C412yes—
68C2×C3×#41C2×C414yes—
69C2×C3×#41C2312yes—
70C2×C3×#41C2314yes—
71C22×C3×Q8C2×C411yescharacteristic
72C22×C3×D4—21no—
73C22×C3×D4C2×C411yescharacteristic
74C23×C3×C4—21no—
75C23×C3×C4C2311yescharacteristic
76C22×#67—21no—
77C2×#235—21no—
78C2×#235—22no—
79C2×#235—21no—
80C2×#235—22no—
81C2×#235C2×C412yes—
82C2×#235C2×C414yes—
83C2×#235C2312yes—
84C2×#235C2314yes—
85C22×D12C2×C411yescharacteristic
86C22×C4×D3—21no—
87C22×Dic6C2×C411yescharacteristic
88C3×#131—28no—
89C3×#131—28no—
90C3×#131—24no—
91C3×#131—24no—
92C3×#131C2318yescomplemented
93C3×#131C2318yescomplemented
94C2×C3×M16—21no—
95C2×C3×M16—22no—
96C2×C3×M16—22no—
97C2×C3×M16—22no—
98C2×C3×M16—28no—
99C2×C3×M16C2312yes—
100C2×C3×M16C2314yes—
101C22×C3×C8—21no—
102C22×C3×C8—22no—
103C22×C3×C8—28no—
104C22×C3×C8—22no—
105C22×C3×C8D411yescharacteristic
106C22×C3×C8D411yescharacteristic
107C22×C3×C8D411yescharacteristic
108C22×C3×C8D411yescharacteristic
109C22×C3×C8D414yes—
110C22×C3×C8C2311yescharacteristic
111C22×C3×C8C2311yescharacteristic
112C22×C3×C8C2314yes—
113C2×#217—21no—
114#951C2×C4116yescomplemented
115#950C2×C4116yes—
116#950C23116yes—
117#949C2×C4116yescomplemented
118C2×#216C2×C414yes—
119#942C2×C4116yescomplemented
120C2×#215C2×C414yes—
121C2×#214C2×C414yes—
122#932C2×C4116yescomplemented
123C2×#213C2×C414yes—
124#926—22no—
125#926C2314yes—
126C2×C4⋊Dic3—21no—
127C2×C4×Dic3C2312yes—
128C2×#208—21no—
129C2×#208—22no—
130C2×#208C2×C412yes—
131C2×#208C2×C412yes—
132C2×#208C2×C414yes—
133C2×#208C2312yes—
134C2×#208C2314yes—
135C2×#208C2314yes—
136C22×C3⋊C8—21no—
137C22×C3⋊C8C2312yes—
138#901—28no—
139#901—28no—
140#901—24no—
141#901—24no—
142#901C2318yescomplemented
143#901C2318yescomplemented
144C2×ΓL(1,𝔽25)—22no—
145C2×ΓL(1,𝔽25)—22no—
146C2×ΓL(1,𝔽25)—28no—
147C2×D3×C8—22no—
148C2×D3×C8—28no—
149C2×D3×C8—22no—
150#837C23116yescomplemented
151#825C23116yescomplemented
152#822C23116yescomplemented
153#815C2318yescomplemented
154C8×Dic3C2318yescomplemented
155C22×#41—31no—
156C22×#41C2×D311yescharacteristic
157#575—38no—
158#575—38no—
159C2×#137—32no—
160C2×#137—32no—
161C2×AGL(1,ℤ/8)—32no—
162C2×AGL(1,ℤ/8)—32no—
163C2×#135—34no—
164C2×#131—21no—
165C2×#131—24no—
166C2×#131—21no—
167C2×#131—32no—
168C2×#131—32no—
169C2×#131—38no—
170C2×#131—61no—
171C2×#131—64no—
172C2×#131—61no—
173C2×#131C2×D312yescomplemented
174C2×#131C2×D312yescomplemented
175C2×#131C2×D318yescomplemented
176C22×M16—21no—
177C22×M16—31no—
178C22×M16—31no—
179C22×M16—61no—
180C22×M16C2×D311yescharacteristic
181C23×C8—21no—
182C23×C8—61no—
183C23×C8C2×D311yescharacteristic
184C2×#117—31no—
185#444—332no—
186#443—332no—
187#430—38no—
188C2×#108—34no—
189#421—38no—
190#421—38no—
191C2×#104—34no—
192C2×#104—34no—
193#405—38no—
194C2×#97—32no—
195C2×C4×C8—32no—
196C24×C3—21no—
197C24×C3#4111yescharacteristic
198C23×D3—21no—
199C3×#41—24no—
200C3×#41—24no—
201C3×#41—24no—
202C3×#41—24no—
203C3×#41—22no—
204C3×#41—22no—
205C3×#41—24no—
206C3×#41C22×C418yes—
207C3×#41C22×C414yes—
208C3×#41C2414yes—
209C2×C3×Q8—21no—
210C2×C3×Q8—22no—
211C2×C3×Q8C22×C412yes—
212C2×C3×Q8C22×C414yes—
213C2×C3×D4—22no—
214C2×C3×D4—24no—
215C2×C3×D4—22no—
216C2×C3×D4—24no—
217C2×C3×D4—21no—
218C2×C3×D4—22no—
219C2×C3×D4C22×C412yes—
220C2×C3×D4C22×C414yes—
221C22×C3×C4—21no—
222C22×C3×C4—22no—
223C22×C3×C4—24no—
224C22×C3×C4—22no—
225C22×C3×C4—24no—
226C22×C3×C4C22×C411yescharacteristic
227C22×C3×C4C22×C411yescharacteristic
228C22×C3×C4C22×C412yes—
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2×D412yes—
232C22×C3×C4#4111yescharacteristic
233C22×C3×C4#4112yes—
234C22×C3×C4C2411yescharacteristic
235C22×C3×C4C2412yes—
236C2×#67—22no—
237C2×#67—24no—
238C2×#67—22no—
239C2×#67—24no—
240C22×Dic3—21no—
241C22×Dic3—22no—
242#235—24no—
243#235—24no—
244#235—24no—
245#235—24no—
246#235—22no—
247#235—22no—
248#235—24no—
249#235C22×C418yes—
250#235C22×C414yes—
251#235C2414yes—
252C2×D12—21no—
253C2×D12—22no—
254C2×D12C22×C412yes—
255C2×D12C22×C414yes—
256C2×C4×D3—22no—
257C2×C4×D3—24no—
258C2×C4×D3—22no—
259C2×C4×D3—24no—
260C2×Dic6—21no—
261C2×Dic6—22no—
262C2×Dic6C22×C412yes—
263C2×Dic6C22×C414yes—
264C3×M16—24no—
265C3×M16—22no—
266C3×M16—28no—
267C3×M16—28no—
268C3×M16C2414yes—
269C2×C3×C8—22no—
270C2×C3×C8—24no—
271C2×C3×C8—28no—
272C2×C3×C8—28no—
273C2×C3×C8C2×D411yescharacteristic
274C2×C3×C8C2×D414yes—
275C2×C3×C8C2×D411yescharacteristic
276C2×C3×C8C2×D411yescharacteristic
277C2×C3×C8C2×D414yes—
278C2×C3×C8C2×D414yes—
279C2×C3×C8C2×D414yes—
280C2×C3×C8C2×D412yes—
281C2×C3×C8C2×D412yes—
282C2×C3×C8C2×D411yescharacteristic
283C2×C3×C8C2412yes—
284C2×C3×C8C2412yes—
285#217—24no—
286#216C22×C4116yes—
287#215C22×C4116yes—
288#214C22×C4116yes—
289#213C22×C4116yes—
290C4⋊Dic3—24no—
291C4×Dic3—22no—
292C4×Dic3C2414yes—
293#208—24no—
294#208—22no—
295#208C22×C418yes—
296#208C22×C418yes—
297#208C2414yes—
298C2×C3⋊C8—22no—
299C2×C3⋊C8—24no—
300C2×C3⋊C8C22×C414yes—
301C2×C3⋊C8C22×C414yes—
302C2×C3⋊C8C2414yes—
303ΓL(1,𝔽25)—28no—
304ΓL(1,𝔽25)—28no—
305D3×C8—28no—
306D3×C8—28no—
307C2×#41—21no—
308C2×#41—22no—
309C2×#41—21no—
310C2×#41—22no—
311C2×#41—32no—
312C2×#41—34no—
313C2×#41—32no—
314C2×#41—34no—
315C2×#41—61no—
316C2×#41—62no—
317C2×#41—61no—
318C2×#41—62no—
319C2×#41C4×D312yes—
320C2×#41C4×D314yes—
321C2×#41C22×D312yes—
322C2×#41C22×D314yes—
323C22×Q8—31no—
324C22×Q8C4×D311yescharacteristic
325C22×D4—21no—
326C22×D4—31no—
327C22×D4—61no—
328C22×D4C4×D311yescharacteristic
329C23×C4—21no—
330C23×C4—61no—
331C23×C4C22×D311yescharacteristic
332#137—316no—
333#137—316no—
334AGL(1,ℤ/8)—316no—
335AGL(1,ℤ/8)—316no—
336#135—316no—
337#135—316no—
338C2×Q16—34no—
339C2×SD16—34no—
340C2×SD16—34no—
341C2×D8—34no—
342#131—28no—
343#131—28no—
344#131—24no—
345#131—24no—
346#131—38no—
347#131—38no—
348#131—68no—
349#131—68no—
350#131—64no—
351#131—64no—
352#131C22×D318yescomplemented
353#131C22×D318yescomplemented
354C2×M16—21no—
355C2×M16—22no—
356C2×M16—22no—
357C2×M16—22no—
358C2×M16—28no—
359C2×M16—32no—
360C2×M16—32no—
361C2×M16—34no—
362C2×M16—34no—
363C2×M16—32no—
364C2×M16—34no—
365C2×M16—61no—
366C2×M16—62no—
367C2×M16—62no—
368C2×M16—62no—
369C2×M16—68no—
370C2×M16C22×D312yes—
371C2×M16C22×D314yes—
372C22×C8—21no—
373C22×C8—22no—
374C22×C8—28no—
375C22×C8—22no—
376C22×C8—32no—
377C22×C8—61no—
378C22×C8—62no—
379C22×C8—68no—
380C22×C8—62no—
381C22×C8#6711yescharacteristic
382C22×C8#6711yescharacteristic
383C22×C8#6714yes—
384C22×C8#6711yescharacteristic
385C22×C8#6711yescharacteristic
386C22×C8C22×D311yescharacteristic
387C22×C8C22×D314yes—
388C22×C8C22×D311yescharacteristic
389#117—34no—
390#117—62no—
391C2×C4⋊C4—61no—
392C2×C22⋊C4—61no—
393C2×C42—32no—
394#108—316no—
395#104—316no—
396#104—316no—
397#97—38no—
398C4×C8—38no—
399C23×C3—24no—
400C23×C3—22no—
401C23×C3—42no—
402C23×C3—44no—
403C23×C3C4×D411yescharacteristic
404C23×C3C4×D411yescharacteristic
405C23×C3C4×D412yes—
406C23×C3C2×#4111yescharacteristic
407C23×C3C2×#4112yes—
408C22×D3—24no—
409C22×D3—22no—
410C22×D3—44no—
411C3×Q8—22no—
412C3×Q8—24no—
413C3×Q8C23×C414yes—
414C3×D4—28no—
415C3×D4—24no—
416C3×D4—24no—
417C3×D4—22no—
418C3×D4—24no—
419C3×D4C23×C414yes—
420C2×C3×C4—24no—
421C2×C3×C4—22no—
422C2×C3×C4—28no—
423C2×C3×C4—24no—
424C2×C3×C4—24no—
425C2×C3×C4C4×D411yescharacteristic
426C2×C3×C4C4×D412yes—
427C2×C3×C4C4×D411yescharacteristic
428C2×C3×C4C4×D412yes—
429C2×C3×C4C4×D412yes—
430C2×C3×C4C4×D412yes—
431C2×C3×C4C4×D412yes—
432C2×C3×C4C23×C411yescharacteristic
433C2×C3×C4C23×C411yescharacteristic
434C2×C3×C4C23×C412yes—
435C2×C3×C4C23×C412yes—
436C2×C3×C4C22×D411yescharacteristic
437C2×C3×C4C22×D412yes—
438C2×C3×C4C22×D412yes—
439C2×C3×C4C22×D411yescharacteristic
440C2×C3×C4C2×#4111yescharacteristic
441C2×C3×C4C2×#4112yes—
442C2×C3×C4C2511yescharacteristic
443#67—28no—
444#67—24no—
445#67—24no—
446C2×Dic3—24no—
447C2×Dic3—22no—
448C2×Dic3—24no—
449C2×Dic3—44no—
450D12—24no—
451D12—22no—
452D12C23×C414yes—
453C4×D3—24no—
454C4×D3—28no—
455C4×D3—24no—
456Dic6—24no—
457Dic6—22no—
458Dic6C23×C414yes—
459C3×C8—24no—
460C3×C8C22×D412yes—
461C3×C8C22×D412yes—
462C3×C8C22×D412yes—
463C3×C8C22×D412yes—
464C3⋊C8—24no—
465C3⋊C8C23×C418yes—
466C24—21no—
467C24—61no—
468C24#23511yescharacteristic
469#41—24no—
470#41—24no—
471#41—24no—
472#41—22no—
473#41—24no—
474#41—24no—
475#41—22no—
476#41—34no—
477#41—38no—
478#41—34no—
479#41—64no—
480#41—64no—
481#41—64no—
482#41—62no—
483#41—64no—
484#41—64no—
485#41—62no—
486#41C2×C4×D314yes—
487#41C2×C4×D318yes—
488#41C23×D314yes—
489C2×Q8—21no—
490C2×Q8—22no—
491C2×Q8—32no—
492C2×Q8—34no—
493C2×Q8—61no—
494C2×Q8—62no—
495C2×Q8C2×C4×D312yes—
496C2×Q8C2×C4×D314yes—
497C2×D4—22no—
498C2×D4—24no—
499C2×D4—22no—
500C2×D4—24no—
501C2×D4—21no—
502C2×D4—22no—
503C2×D4—32no—
504C2×D4—34no—
505C2×D4—62no—
506C2×D4—64no—
507C2×D4—62no—
508C2×D4—64no—
509C2×D4—61no—
510C2×D4—62no—
511C2×D4C2×C4×D312yes—
512C2×D4C2×C4×D314yes—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—24no—
516C22×C4—22no—
517C22×C4—24no—
518C22×C4—61no—
519C22×C4—62no—
520C22×C4—64no—
521C22×C4—62no—
522C22×C4—64no—
523C22×C4—62no—
524C22×C4C2×C4×D311yescharacteristic
525C22×C4C2×C4×D311yescharacteristic
526C22×C4C2×C4×D312yes—
527C22×C4#23511yescharacteristic
528C22×C4#23512yes—
529C22×C4C2×#6711yescharacteristic
530C22×C4C2×#6711yescharacteristic
531C22×C4C2×#6712yes—
532C22×C4C23×D311yescharacteristic
533C22×C4C23×D312yes—
534Q16—316no—
535SD16—316no—
536SD16—316no—
537D8—316no—
538M16—24no—
539M16—22no—
540M16—28no—
541M16—28no—
542M16—38no—
543M16—38no—
544M16—34no—
545M16—64no—
546M16—62no—
547M16—68no—
548M16—68no—
549M16C23×D314yes—
550C2×C8—22no—
551C2×C8—24no—
552C2×C8—28no—
553C2×C8—28no—
554C2×C8—34no—
555C2×C8—34no—
556C2×C8—34no—
557C2×C8—62no—
558C2×C8—64no—
559C2×C8—68no—
560C2×C8—68no—
561C2×C8C2×#6711yescharacteristic
562C2×C8C2×#6714yes—
563C2×C8C2×#6711yescharacteristic
564C2×C8C2×#6714yes—
565C2×C8C2×#6711yescharacteristic
566C2×C8C2×#6714yes—
567C2×C8C2×#6714yes—
568C2×C8C2×#6712yes—
569C2×C8C2×#6712yes—
570C2×C8C2×#6711yescharacteristic
571C2×C8C23×D312yes—
572C2×C8C23×D312yes—
573C4⋊C4—64no—
574C22⋊C4—64no—
575C42—34no—
576C42—62no—
577C22×C3—22no—
578C22×C3—22no—
579C22×C3—22no—
580C22×C3—24no—
581C22×C3—42no—
582C22×C3—42no—
583C22×C3—48no—
584C22×C3—44no—
585C22×C3C2×C4×D412yes—
586C22×C3C2×C4×D412yes—
587C22×C3C2×C4×D411yescharacteristic
588C22×C3C2×C4×D411yescharacteristic
589C22×C3C22×#4111yescharacteristic
590C2×D3—24no—
591C2×D3—48no—
592C2×D3—44no—
593C3×C4—24no—
594C3×C4C2×C4×D412yes—
595C3×C4C2×C4×D411yescharacteristic
596C3×C4C2×C4×D411yescharacteristic
597C3×C4C2×C4×D412yes—
598C3×C4C24×C411yescharacteristic
599C3×C4C23×D411yescharacteristic
600Dic3—24no—
601Dic3—44no—
602C23—24no—
603C23—22no—
604C23—42no—
605C23—44no—
606C23—64no—
607C23—62no—
608C23—124no—
609C23C4×#6711yescharacteristic
610C23C4×#6711yescharacteristic
611C23C4×#6712yes—
612C23C2×#23511yescharacteristic
613C23C2×#23512yes—
614Q8—24no—
615Q8—22no—
616Q8—34no—
617Q8—64no—
618Q8—62no—
619Q8C22×C4×D314yes—
620D4—24no—
621D4—28no—
622D4—24no—
623D4—24no—
624D4—22no—
625D4—34no—
626D4—64no—
627D4—68no—
628D4—64no—
629D4—64no—
630D4—62no—
631D4C22×C4×D314yes—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—28no—
637C2×C4—64no—
638C2×C4—62no—
639C2×C4—64no—
640C2×C4—64no—
641C2×C4—68no—
642C2×C4—64no—
643C2×C4—124no—
644C2×C4C4×#6711yescharacteristic
645C2×C4C4×#6712yes—
646C2×C4C4×#6711yescharacteristic
647C2×C4C4×#6712yes—
648C2×C4C4×#6712yes—
649C2×C4C4×#6712yes—
650C2×C4C4×#6712yes—
651C2×C4C22×C4×D311yescharacteristic
652C2×C4C22×C4×D311yescharacteristic
653C2×C4C22×C4×D312yes—
654C2×C4C22×C4×D312yes—
655C2×C4C2×#23511yescharacteristic
656C2×C4C2×#23512yes—
657C2×C4C22×#6711yescharacteristic
658C2×C4C22×#6712yes—
659C2×C4C22×#6712yes—
660C2×C4C22×#6711yescharacteristic
661C2×C4C24×D311yescharacteristic
662C8—24no—
663C8—38no—
664C8—64no—
665C8C22×#6712yes—
666C8C22×#6712yes—
667C8C22×#6712yes—
668C8C22×#6712yes—
669C2×C3—21no—
670C2×C3—22no—
671C2×C3—22no—
672C2×C3—21no—
673C2×C3—44no—
674C2×C3#295512yescomplemented
675C2×C3C22×C4×D411yescharacteristic
676D3—44no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—24no—
681C22—42no—
682C22—42no—
683C22—48no—
684C22—44no—
685C22—64no—
686C22—128no—
687C22—124no—
688C22C2×C4×#6712yes—
689C22C2×C4×#6712yes—
690C22C2×C4×#6711yescharacteristic
691C22C2×C4×#6711yescharacteristic
692C22C22×#23511yescharacteristic
693C4—24no—
694C4—64no—
695C4—124no—
696C4C2×C4×#6711yescharacteristic
697C4C2×C4×#6712yes—
698C4C2×C4×#6712yes—
699C4C2×C4×#6711yescharacteristic
700C4C23×C4×D311yescharacteristic
701C4C23×#6711yescharacteristic
702C3C2×#295511yescharacteristic, complemented, Sylow
703C2—21no—
704C2—22no—
705C2—22no—
706C2—21no—
707C2—44no—
708C2—124no—
709C2#8379212yesdirect product factor
710C2C22×C4×#6711yescharacteristic
subgroupG/H
centerC2×C8C2×#67
commutatorC3×C4C24×C4
FrattiniC2×C4C24×D3
FittingC22×C3×#131C2
socleC22×C3C2×C4×D4
prime radicalC2×#5822C2
cosocleC2×C3×C4C25
hypercenterC22×#131D3
hypocenterC3C2×#2955
LCSG ▷ C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C8 ◁ C23×C8 ◁ C22×#131

Complements

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

NH ≅ G/Ntype
1. C22×C3×#131C2semidirect
3. C22×#901C2semidirect
4. C2×#5236C2semidirect
5. #83792C2direct (N × H)
6. C2×#5145C2semidirect
7. C2×#5144C2semidirect
8. C2×#5139C2semidirect
9. C2×#5124C2semidirect
10. C2×#5101C2semidirect
17. C2×C3×#131C22semidirect
18. C2×C3×#131C22semidirect
19. C2×C3×#131C22semidirect
24. C2×#951C4semidirect
25. #5822C4semidirect
28. C2×#949C4semidirect
29. C2×#942C4semidirect
30. C2×#932C4semidirect
37. C2×#901C22semidirect
38. C2×#901C22semidirect
39. C2×#901C22semidirect
42. #5236C22semidirect
43. C2×#837C22semidirect
44. #5145C22semidirect
45. #5144C22semidirect
46. #5139C22semidirect
47. C2×#825C22semidirect
48. #5124C22semidirect
49. C2×#822C22semidirect
50. #5101C22semidirect
51. C2×#815C22semidirect
52. C2×C8×Dic3C22semidirect
55. C22×#131D3semidirect
92. C3×#131C23semidirect
93. C3×#131C23semidirect
114. #951C2×C4semidirect
117. #949C2×C4semidirect
119. #942C2×C4semidirect
122. #932C2×C4semidirect
142. #901C23semidirect
143. #901C23semidirect
150. #837C23semidirect
151. #825C23semidirect
152. #822C23semidirect
153. #815C23semidirect
154. C8×Dic3C23semidirect
173. C2×#131C2×D3semidirect
174. C2×#131C2×D3semidirect
175. C2×#131C2×D3semidirect
352. #131C22×D3semidirect
353. #131C22×D3semidirect
674. C2×C3#2955semidirect
702. C3C2×#2955semidirect
709. C2#83792direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#1312
C2×#58222
C22×#9012
C2×#52362
#837922
C2×#51452
C2×#51442
C2×#51392
C2×#51242
C2×#51012
C2×#29553