Finite Group Databasebeta

← C2×#10595139 #11900773

Subgroups — C2×#10595139 #11900773

Order 1152.

3669 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3804C212yesmaximal, complemented
2C2×#64147C211yesmaximal, characteristic, complemented
3C2×C3×#940C211yesmaximal, characteristic, complemented
4C2×C3×D4×Dic3C211yesmaximal, characteristic, complemented
5C2×Dic3×#67C212yesmaximal, complemented
6C2×#63959C212yesmaximal, complemented
7C2×#63958C212yesmaximal, complemented
8#10595139C2116yesmaximal, direct product factor
9C2×#63918C211yesmaximal, characteristic, complemented
10C2×#63916C211yesmaximal, characteristic, complemented
11C2×Dic3×D12C211yesmaximal, characteristic, complemented
12C2×C4×#624C211yesmaximal, characteristic, complemented
13C2×#5716—31nomaximal
14C2×#5548—31nomaximal
15C22×C32×D4C2211yescharacteristic
16C22×#638C2212yes—
17C22×C4×C3⋊D3C2211yescharacteristic
18C22×C3×#67C2212yes—
19C22×C3×#67C2212yes—
20C23×C3×Dic3C2212yes—
21C22×C3×D12C2211yescharacteristic
22C22×#627C2212yes—
23C22×#626C2212yes—
24C22×#624C2211yescharacteristic
25C22×#624C2211yescharacteristic
26C2×#3804—216no—
27C2×#3804C22116yescomplemented
28C22×D3×Dic3C2212yes—
29C2×#3757C2212yes—
30#64147C2218yescomplemented
31C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
32C2×C3×#217C2212yes—
33C3×#940C2218yescomplemented
34C3×D4×Dic3C2218yescomplemented
35C2×C3×C4⋊Dic3C2211yescharacteristic
36C2×C3×C4×Dic3C2211yescharacteristic
37C2×C3×C4×Dic3C2211yescharacteristic
38Dic3×#67C22116yescomplemented
39C2×Dic3⋊Dic3C2212yes—
40C2×(C2×D3)⋊Dic3C2212yes—
41C2×(C2×D3)⋊Dic3C2212yes—
42#63959C22116yescomplemented
43#63958C22116yescomplemented
44C2×Dic32C2211yescharacteristic
45C2×Dic32C2211yescharacteristic
46#63918C2218yescomplemented
47#63916C2218yescomplemented
48Dic3×D12C2218yescomplemented
49C4×#624C2218yescomplemented
50C22×#237—32no—
51C22×#235—32no—
52C2×C3×#127—31no—
53C2×C3×C4×D4—31no—
54C2×#940D311yescharacteristic, complemented
55C2×#938—31no—
56C2×#938—31no—
57C2×#938—32no—
58C2×#938—31no—
59C2×#938—61no—
60C2×#936—32no—
61C2×D4×Dic3—32no—
62C2×D4×Dic3—31no—
63C2×D4×Dic3D311yescharacteristic, complemented
64C2×C4×#67—32no—
65#5716—316no—
66#5548—316no—
67C2×#895—31no—
68C2×#888—31no—
69C2×#885—32no—
70C2×#884—32no—
71C2×C4×D12—31no—
72C2×C42×D3—31no—
73C2×C42×D3—31no—
74C2×#869—31no—
75C24×C32C2312yes—
76C23×C3⋊D3C2311yescharacteristic
77C23×C3×D3C2312yes—
78C2×C32×D4—24no—
79C2×C32×D4C2314yes—
80C22×C32×C4C2311yescharacteristic
81C2×#638—28no—
82C2×#638C2318yes—
83C22×C3⋊Dic3C2312yes—
84C22×C3⋊Dic3C2311yescharacteristic
85C2×C4×C3⋊D3—24no—
86C2×C4×C3⋊D3C2314yes—
87C2×C3×#67—28no—
88C2×C3×#67—28no—
89C2×C3×#67C2318yes—
90C2×C3×#67C2318yes—
91C22×C3×Dic3—28no—
92C22×C3×Dic3C2311yescharacteristic
93C22×C3×Dic3C2312yes—
94C22×C3×Dic3C2318yes—
95C22×C3×Dic3C2311yescharacteristic
96C22×C3×Dic3C2311yescharacteristic
97C22×C3×Dic3C2311yescharacteristic
98C2×C3×D12—24no—
99C2×C3×D12C2314yes—
100C2×#627—28no—
101C2×#627C2318yes—
102C2×#626—28no—
103C2×#626C2318yes—
104C2×#624—24no—
105C2×#624D418yescomplemented
106C2×#624C2314yes—
107C2×#624C2314yes—
108#3804—264no—
109C2×D3×Dic3—28no—
110C2×D3×Dic3C2318yes—
111#3757C2318yes—
112C4⋊(C3⋊Dic3)C2314yes—
113C3×#217C2318yes—
114C3×C4⋊Dic3C2314yes—
115C3×C4×Dic3C2314yes—
116C3×C4×Dic3C2314yes—
117Dic3⋊Dic3C2318yes—
118(C2×D3)⋊Dic3C2318yes—
119(C2×D3)⋊Dic3C2318yes—
120Dic32C2314yes—
121Dic32C2314yes—
122C2×#532—91noSylow
123C22×C3×D4—21no—
124C22×C3×D4—32no—
125C22×C3×D4—32no—
126C22×C3×D4—31no—
127C22×C3×D4C2×D311yescharacteristic
128C22×C3×D4C2×D311yescharacteristic
129C23×C3×C4—32no—
130C22×#67—32no—
131C22×#67—32no—
132C22×#67—32no—
133C22×#67—62no—
134C22×#67C2×D312yes—
135C22×#67C2×D312yes—
136C23×Dic3—32no—
137C23×Dic3C2×D312yes—
138C2×#237—316no—
139C2×#237—616no—
140C2×#235—316no—
141C2×#235—616no—
142C22×D12—32no—
143C22×D12C2×D311yescharacteristic
144C22×C4×D3—31no—
145C22×C4×D3—31no—
146C22×C4×D3—32no—
147C22×C4×D3—31no—
148C22×C4×D3—31no—
149C22×C4×D3—31no—
150C22×C4×D3—31no—
151C22×C4×D3—61no—
152C22×Dic6—32no—
153C22×Dic6—32no—
154C3×#127—38no—
155C3×C4×D4—38no—
156C2×C3×C4⋊C4—31no—
157C2×C3×C22⋊C4—32no—
158C2×C3×C42—31no—
159C2×C3×C42—31no—
160C2×#217—32no—
161C2×#217—32no—
162C2×#217—32no—
163C2×#217—32no—
164C2×#217—62no—
165C2×#217C2×D312yes—
166#940C2×D318yescomplemented
167#938—38no—
168#938—38no—
169#938—316no—
170#938—38no—
171#938—68no—
172#936—316no—
173D4×Dic3—316no—
174D4×Dic3—38no—
175D4×Dic3C2×D318yescomplemented
176C4×#67—316no—
177C2×(C2×D3)⋊C4—32no—
178C2×(C2×D3)⋊C4—32no—
179C2×C4⋊Dic3—31no—
180C2×C4⋊Dic3—31no—
181C2×C4⋊Dic3—32no—
182C2×C4⋊Dic3—61no—
183C2×C4⋊Dic3C2×D311yescharacteristic
184C2×Dic3⋊C4—32no—
185C2×C4×Dic3—31no—
186C2×C4×Dic3—31no—
187C2×C4×Dic3—31no—
188C2×C4×Dic3—31no—
189C2×C4×Dic3C2×D311yescharacteristic
190C2×C4×Dic3C2×D311yescharacteristic
191#895—38no—
192#888—38no—
193#885—316no—
194#884—316no—
195C4×D12—38no—
196C42×D3—38no—
197C42×D3—38no—
198#869—38no—
199C23×C32—24no—
200C23×C32—24no—
201C23×C32—24no—
202C23×C32C2414yes—
203C23×C32C2411yescharacteristic
204C22×C3⋊D3—22no—
205C22×C3⋊D3—22no—
206C22×C3⋊D3C2×D414yes—
207C22×C3⋊D3C2412yes—
208C22×C3×D3—24no—
209C22×C3×D3—24no—
210C22×C3×D3—24no—
211C22×C3×D3C2414yes—
212C32×D4—28no—
213C2×C32×C4#4114yescomplemented
214C2×C32×C4C2412yes—
215#638—216no—
216C2×C3⋊Dic3—24no—
217C2×C3⋊Dic3—22no—
218C2×C3⋊Dic3C2412yes—
219C2×C3⋊Dic3C2414yes—
220C4×C3⋊D3—28no—
221C3×#67—216no—
222C3×#67—216no—
223C2×C3×Dic3—24no—
224C2×C3×Dic3—22no—
225C2×C3×Dic3—216no—
226C2×C3×Dic3C2×D414yes—
227C2×C3×Dic3C2×D414yes—
228C2×C3×Dic3#4114yescomplemented
229C2×C3×Dic3C2412yes—
230C2×C3×Dic3C2414yes—
231C2×C3×Dic3C2412yes—
232C2×C3×Dic3C2412yes—
233C2×C3×Dic3C2412yes—
234C3×D12—28no—
235#627—216no—
236#626—216no—
237#624—28no—
238#624C2×D4116yescomplemented
239D3×Dic3—216no—
240C22×#41—92no—
241#532—916no—
242C2×C4⋊Q8—91no—
243C2×#127—31no—
244C2×#124—92no—
245C2×#121—92no—
246C2×#121—91no—
247C2×#121—91no—
248C2×C4×D4—31no—
249C2×C4×D4—91no—
250C2×C4×D4—92no—
251C22×C42—91no—
252C24×C3—22no—
253C24×C3—32no—
254C24×C3C22×D312yes—
255C24×C3C22×D312yes—
256C23×D3—31no—
257C23×D3—31no—
258C23×D3—61no—
259C23×D3C22×D312yes—
260C2×C3×D4—24no—
261C2×C3×D4—24no—
262C2×C3×D4—24no—
263C2×C3×D4—38no—
264C2×C3×D4—38no—
265C2×C3×D4—34no—
266C2×C3×D4—44no—
267C2×C3×D4—68no—
268C2×C3×D4—68no—
269C2×C3×D4—64no—
270C2×C3×D4C22×D314yes—
271C2×C3×D4C22×D314yes—
272C22×C3×C4—21no—
273C22×C3×C4—31no—
274C22×C3×C4—31no—
275C22×C3×C4—31no—
276C22×C3×C4—31no—
277C22×C3×C4—32no—
278C22×C3×C4—38no—
279C22×C3×C4—68no—
280C22×C3×C4C22×D311yescharacteristic
281C22×C3×C4C22×D311yescharacteristic
282C2×#67—28no—
283C2×#67—28no—
284C2×#67—38no—
285C2×#67—38no—
286C2×#67—38no—
287C2×#67—68no—
288C2×#67—68no—
289C2×#67—68no—
290C2×#67—68no—
291C2×#67—128no—
292C2×#67C22×D318yes—
293C2×#67C22×D318yes—
294C22×Dic3—28no—
295C22×Dic3—31no—
296C22×Dic3—31no—
297C22×Dic3—32no—
298C22×Dic3—32no—
299C22×Dic3—38no—
300C22×Dic3—62no—
301C22×Dic3—61no—
302C22×Dic3—68no—
303C22×Dic3C22×D311yescharacteristic
304C22×Dic3C22×D312yes—
305C22×Dic3C22×D318yes—
306C22×Dic3C22×D311yescharacteristic
307C22×Dic3C22×D311yescharacteristic
308C22×Dic3C22×D311yescharacteristic
309#237—664no—
310#235—664no—
311C2×D12—24no—
312C2×D12—38no—
313C2×D12—68no—
314C2×D12C22×D314yes—
315C2×C4×D3—38no—
316C2×C4×D3—38no—
317C2×C4×D3—34no—
318C2×C4×D3—34no—
319C2×C4×D3—38no—
320C2×C4×D3—34no—
321C2×C4×D3—34no—
322C2×C4×D3—34no—
323C2×C4×D3—34no—
324C2×C4×D3—64no—
325C2×C4×D3—64no—
326C2×C4×D3—68no—
327C2×C4×D3—64no—
328C2×C4×D3—64no—
329C2×C4×D3—64no—
330C2×C4×D3—124no—
331C2×Dic6—38no—
332C2×Dic6—38no—
333C2×Dic6—68no—
334C2×Dic6—68no—
335C3×C4⋊C4—34no—
336C3×C22⋊C4—38no—
337C3×C42—34no—
338C3×C42—34no—
339#217—38no—
340#217—38no—
341#217—38no—
342#217—38no—
343#217—68no—
344#217C22×D318yes—
345(C2×D3)⋊C4—38no—
346(C2×D3)⋊C4—38no—
347C4⋊Dic3—34no—
348C4⋊Dic3—34no—
349C4⋊Dic3—38no—
350C4⋊Dic3—64no—
351C4⋊Dic3C22×D314yes—
352Dic3⋊C4—38no—
353C4×Dic3—34no—
354C4×Dic3—34no—
355C4×Dic3—34no—
356C4×Dic3—34no—
357C4×Dic3C22×D314yes—
358C4×Dic3C22×D314yes—
359C22×C32—24no—
360C22×C32—24no—
361C22×C32—24no—
362C22×C32—48no—
363C22×C32C22×D412yes—
364C22×C32C2×#4112yes—
365C22×C32C2×#4112yes—
366C22×C32C2511yescharacteristic
367C2×C3⋊D3—28no—
368C2×C3⋊D3—22no—
369C2×C3⋊D3—22no—
370C2×C3⋊D3C22×D414yes—
371C2×C3×D3—24no—
372C2×C3×D3—24no—
373C2×C3×D3—24no—
374C2×C3×D3—48no—
375C32×C4C2×#4114yescomplemented
376C3⋊Dic3—24no—
377C3⋊Dic3—22no—
378C3×Dic3—24no—
379C3×Dic3—22no—
380C3×Dic3C22×D414yes—
381C3×Dic3C22×D414yes—
382C3×Dic3C2×#4114yescomplemented
383C2×#41—916no—
384C2×#41—1816no—
385C22×Q8—92no—
386C22×D4—32no—
387C22×D4—32no—
388C22×D4—31no—
389C22×D4—92no—
390C22×D4—92no—
391C22×D4D3211yescharacteristic
392C23×C4—32no—
393C23×C4—91no—
394C23×C4—91no—
395C23×C4—92no—
396C23×C4—91no—
397C4⋊Q8—98no—
398#127—38no—
399#124—916no—
400#121—916no—
401#121—98no—
402#121—98no—
403C4×D4—38no—
404C4×D4—98no—
405C4×D4—916no—
406C2×C4⋊C4—31no—
407C2×C4⋊C4—92no—
408C2×C4⋊C4—91no—
409C2×C22⋊C4—32no—
410C2×C22⋊C4—92no—
411C2×C22⋊C4—92no—
412C2×C22⋊C4—92no—
413C2×C42—31no—
414C2×C42—31no—
415C2×C42—98no—
416C2×C42—91no—
417C2×C42—91no—
418C23×C3—24no—
419C23×C3—24no—
420C23×C3—24no—
421C23×C3—24no—
422C23×C3—24no—
423C23×C3—24no—
424C23×C3—24no—
425C23×C3—21no—
426C23×C3—34no—
427C23×C3—44no—
428C23×C3—44no—
429C23×C3—44no—
430C23×C3—64no—
431C23×C3—64no—
432C23×C3—64no—
433C23×C3C23×D314yes—
434C23×C3C23×D314yes—
435C23×C3C23×D311yescharacteristic
436C23×C3C23×D311yescharacteristic
437C22×D3—24no—
438C22×D3—24no—
439C22×D3—24no—
440C22×D3—34no—
441C22×D3—34no—
442C22×D3—32no—
443C22×D3—32no—
444C22×D3—64no—
445C22×D3—62no—
446C22×D3—62no—
447C22×D3—62no—
448C22×D3—62no—
449C22×D3—62no—
450C22×D3—122no—
451C22×D3—122no—
452C22×D3C23×D314yes—
453C3×D4—28no—
454C3×D4—28no—
455C3×D4—48no—
456C3×D4—616no—
457C3×D4—616no—
458C3×D4—68no—
459C2×C3×C4—22no—
460C2×C3×C4—24no—
461C2×C3×C4—34no—
462C2×C3×C4—34no—
463C2×C3×C4—34no—
464C2×C3×C4—32no—
465C2×C3×C4—32no—
466C2×C3×C4—32no—
467C2×C3×C4—32no—
468C2×C3×C4—34no—
469C2×C3×C4—616no—
470C2×C3×C4—64no—
471C2×C3×C4—62no—
472C2×C3×C4#23514yescomplemented
473C2×C3×C4#23714yescomplemented
474C2×C3×C4C23×D312yes—
475C2×C3×C4C23×D312yes—
476#67—216no—
477#67—216no—
478#67—616no—
479#67—616no—
480#67—616no—
481#67—1216no—
482C2×Dic3—24no—
483C2×Dic3—22no—
484C2×Dic3—216no—
485C2×Dic3—32no—
486C2×Dic3—32no—
487C2×Dic3—34no—
488C2×Dic3—34no—
489C2×Dic3—64no—
490C2×Dic3—62no—
491C2×Dic3—62no—
492C2×Dic3—64no—
493C2×Dic3—64no—
494C2×Dic3—62no—
495C2×Dic3—616no—
496C2×Dic3—122no—
497C2×Dic3—124no—
498C2×Dic3D3×D414yes—
499C2×Dic3D3×D414yes—
500C2×Dic3#23714yescomplemented
501C2×Dic3C23×D312yes—
502C2×Dic3C23×D314yes—
503C2×Dic3C23×D312yes—
504C2×Dic3C23×D312yes—
505C2×Dic3C23×D312yes—
506D12—28no—
507D12—616no—
508C4×D3—316no—
509C4×D3—316no—
510C4×D3—68no—
511C4×D3—616no—
512C4×D3—68no—
513C4×D3—68no—
514C4×D3—68no—
515C4×D3—128no—
516Dic6—616no—
517Dic6—616no—
518C2×C32—44no—
519C2×C32#53214yescomplemented
520C2×C32C23×D411yescharacteristic
521C2×C32C22×#4111yescharacteristic
522C2×C32C22×#4111yescharacteristic
523C3⋊D3—24no—
524C3×D3—44no—
525C24—32no—
526C24—91no—
527C24C2×D3212yes—
528#41—1864no—
529C2×Q8—98no—
530C2×Q8—188no—
531C2×D4—24no—
532C2×D4—38no—
533C2×D4—38no—
534C2×D4—34no—
535C2×D4—68no—
536C2×D4—68no—
537C2×D4—64no—
538C2×D4—98no—
539C2×D4—98no—
540C2×D4—188no—
541C2×D4—188no—
542C2×D4C2×D3214yes—
543C22×C4—31no—
544C22×C4—31no—
545C22×C4—31no—
546C22×C4—38no—
547C22×C4—31no—
548C22×C4—32no—
549C22×C4—68no—
550C22×C4—94no—
551C22×C4—98no—
552C22×C4—94no—
553C22×C4—98no—
554C22×C4—91no—
555C22×C4—92no—
556C22×C4—94no—
557C22×C4—184no—
558C22×C4—188no—
559C22×C4—184no—
560C22×C4C2×D3211yescharacteristic
561C4⋊C4—34no—
562C4⋊C4—98no—
563C4⋊C4—94no—
564C22⋊C4—38no—
565C22⋊C4—98no—
566C22⋊C4—98no—
567C22⋊C4—98no—
568C42—34no—
569C42—34no—
570C42—94no—
571C42—94no—
572C22×C3—24no—
573C22×C3—24no—
574C22×C3—24no—
575C22×C3—24no—
576C22×C3—24no—
577C22×C3—24no—
578C22×C3—22no—
579C22×C3—22no—
580C22×C3—22no—
581C22×C3—21no—
582C22×C3—44no—
583C22×C3—44no—
584C22×C3—44no—
585C22×C3—48no—
586C22×C3—48no—
587C22×C3—64no—
588C22×C3—64no—
589C22×C3—64no—
590C22×C3—88no—
591C22×C3—128no—
592C22×C3C2×#23512yes—
593C22×C3C2×D3×D412yes—
594C22×C3C2×D3×D412yes—
595C22×C3C2×#23712yes—
596C22×C3C2×#23712yes—
597C22×C3D3×#4112yes—
598C22×C3C24×D311yescharacteristic
599C22×C3C24×D311yescharacteristic
600C2×D3—24no—
601C2×D3—24no—
602C2×D3—24no—
603C2×D3—34no—
604C2×D3—34no—
605C2×D3—48no—
606C2×D3—64no—
607C2×D3—62no—
608C2×D3—62no—
609C2×D3—62no—
610C2×D3—62no—
611C2×D3—68no—
612C2×D3—68no—
613C2×D3—122no—
614C2×D3—122no—
615C2×D3—128no—
616C3×C4—24no—
617C3×C4—34no—
618C3×C4—34no—
619C3×C4—34no—
620C3×C4—64no—
621C3×C4—62no—
622C3×C4C2×#23514yescomplemented
623C3×C4C2×#23714yescomplemented
624Dic3—24no—
625Dic3—22no—
626Dic3—62no—
627Dic3—64no—
628Dic3—64no—
629Dic3—62no—
630Dic3—122no—
631Dic3—124no—
632Dic3C2×D3×D414yes—
633Dic3C2×D3×D414yes—
634Dic3C2×#23714yescomplemented
635C32C2×#53211yescharacteristic, complemented, Sylow
636C23—24no—
637C23—24no—
638C23—24no—
639C23—34no—
640C23—64no—
641C23—64no—
642C23—64no—
643C23—94no—
644C23—92no—
645C23—182no—
646C23—182no—
647C23C22×D3214yes—
648C23C22×D3211yescharacteristic
649Q8—1816no—
650D4—28no—
651D4—616no—
652D4—616no—
653D4—68no—
654D4—1816no—
655D4—1816no—
656C2×C4—34no—
657C2×C4—34no—
658C2×C4—34no—
659C2×C4—32no—
660C2×C4—32no—
661C2×C4—32no—
662C2×C4—32no—
663C2×C4—34no—
664C2×C4—616no—
665C2×C4—64no—
666C2×C4—62no—
667C2×C4—916no—
668C2×C4—92no—
669C2×C4—94no—
670C2×C4—188no—
671C2×C4—1816no—
672C2×C4—184no—
673C2×C4—182no—
674C2×C4—188no—
675C2×C4#380414yescomplemented
676C2×C4C22×D3212yes—
677C2×C3—21no—
678C2×C3—21no—
679C2×C3—24no—
680C2×C3—21no—
681C2×C3—44no—
682C2×C3—44no—
683C2×C3—84no—
684C2×C3—124no—
685C2×C3#554814yescomplemented
686C2×C3#571614yescomplemented
687C2×C3C22×#23511yescharacteristic
688C2×C3C22×D3×D411yescharacteristic
689C2×C3C22×D3×D411yescharacteristic
690C2×C3C22×#23711yescharacteristic
691C2×C3C22×#23711yescharacteristic
692C2×C3C2×D3×#4111yescharacteristic
693D3—44no—
694D3—64no—
695D3—64no—
696D3—124no—
697C22—24no—
698C22—24no—
699C22—24no—
700C22—48no—
701C22—64no—
702C22—64no—
703C22—64no—
704C22—94no—
705C22—128no—
706C22—182no—
707C22—188no—
708C22—182no—
709C22D32×D412yes—
710C22D3×#23712yes—
711C22C2×#380412yes—
712C22C23×D3211yescharacteristic
713C4—34no—
714C4—34no—
715C4—34no—
716C4—64no—
717C4—62no—
718C4—184no—
719C4—182no—
720C4C2×#380414yescomplemented
721C3—21no—
722C3C2×#554811yescharacteristic, complemented
723C3C2×#571611yescharacteristic, complemented
724C2—44no—
725C2—124no—
726C2—184no—
727C2#1059513914yesdirect product factor
728C2C2×D32×D411yescharacteristic
729C2C2×D3×#23711yescharacteristic
730C2C22×#380411yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC22×C32×D4C22
socleC23×C32C24
hypercenterC22×D4D32
hypocenterC32C2×#532
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×#3804C2semidirect
2. C2×#64147C2semidirect
3. C2×C3×#940C2semidirect
4. C2×C3×D4×Dic3C2semidirect
5. C2×Dic3×#67C2semidirect
6. C2×#63959C2semidirect
7. C2×#63958C2semidirect
8. #10595139C2direct (N × H)
9. C2×#63918C2semidirect
10. C2×#63916C2semidirect
11. C2×Dic3×D12C2semidirect
12. C2×C4×#624C2semidirect
27. C2×#3804C22semidirect
30. #64147C22semidirect
33. C3×#940C22semidirect
34. C3×D4×Dic3C22semidirect
38. Dic3×#67C22semidirect
42. #63959C22semidirect
43. #63958C22semidirect
46. #63918C22semidirect
47. #63916C22semidirect
48. Dic3×D12C22semidirect
49. C4×#624C22semidirect
54. C2×#940D3semidirect
63. C2×D4×Dic3D3semidirect
105. C2×#624D4semidirect
166. #940C2×D3semidirect
175. D4×Dic3C2×D3semidirect
213. C2×C32×C4#41semidirect
228. C2×C3×Dic3#41semidirect
238. #624C2×D4semidirect
375. C32×C4C2×#41semidirect
382. C3×Dic3C2×#41semidirect
472. C2×C3×C4#235semidirect
473. C2×C3×C4#237semidirect
500. C2×Dic3#237semidirect
519. C2×C32#532semidirect
622. C3×C4C2×#235semidirect
623. C3×C4C2×#237semidirect
634. Dic3C2×#237semidirect
635. C32C2×#532semidirect
675. C2×C4#3804semidirect
685. C2×C3#5548semidirect
686. C2×C3#5716semidirect
720. C4C2×#3804semidirect
722. C3C2×#5548semidirect
723. C3C2×#5716semidirect
727. C2#10595139direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#38042
C2×#641472
C2×C3×#9402
C2×C3×D4×Dic32
C2×Dic3×#672
C2×#639592
C2×#639582
#105951392
C2×#639182
C2×#639162
C2×Dic3×D122
C2×C4×#6242
C2×#57163
C2×#55483