Finite Group Databasebeta

← C2×#10595131 #11900775

Subgroups — C2×#10595131 #11900775

Order 1152.

3705 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3804C212yesmaximal, complemented
2C2×#64149C211yesmaximal, characteristic, complemented
3C2×C3×#938C211yesmaximal, characteristic, complemented
4C2×C3×D4×Dic3C211yesmaximal, characteristic, complemented
5C2×#63971C212yesmaximal, complemented
6C2×#63953C212yesmaximal, complemented
7C2×#63952C212yesmaximal, complemented
8#10595131C2116yesmaximal, direct product factor
9C2×#63919C211yesmaximal, characteristic, complemented
10C2×#63909C211yesmaximal, characteristic, complemented
11C2×#63894C211yesmaximal, characteristic, complemented
12C2×C4×D3×Dic3C211yesmaximal, characteristic, complemented
13C2×#5596—31nomaximal
14C2×#5548—31nomaximal
15C22×C32×D4C2211yescharacteristic
16C22×#638C2212yes—
17C22×#638C2212yes—
18C22×C4⋊(C3⋊D3)C2211yescharacteristic
19C22×C3×#67C2212yes—
20C23×C3×Dic3C2212yes—
21C22×C3×C4×D3C2211yescharacteristic
22C22×#627C2212yes—
23C22×#626C2212yes—
24C22×#624C2212yes—
25C2×#3804—216no—
26C2×#3804C22116yescomplemented
27C22×D3×Dic3C2211yescharacteristic
28C22×D3×Dic3C2211yescharacteristic
29#64149C2218yescomplemented
30C2×C4×C3⋊Dic3C2211yescharacteristic
31C2×C3×#217C2212yes—
32C2×C3×#217C2212yes—
33C3×#938C2218yescomplemented
34C3×D4×Dic3C2218yescomplemented
35C2×C3×C4⋊Dic3C2211yescharacteristic
36C2×C3×C4⋊Dic3C2211yescharacteristic
37C2×C3×C4×Dic3C2211yescharacteristic
38#63971C22116yescomplemented
39C2×#3724C2212yes—
40C2×#3722C2212yes—
41C2×#3722C2212yes—
42C2×Dic32C2211yescharacteristic
43C2×Dic32C2211yescharacteristic
44#63953C22116yescomplemented
45#63952C22116yescomplemented
46#63919C2218yescomplemented
47#63909C2218yescomplemented
48#63894C2218yescomplemented
49C4×D3×Dic3C2218yescomplemented
50C22×#237—32no—
51C22×#235—32no—
52C2×C3×#121—31no—
53C2×C3×C4×D4—31no—
54C2×#940—31no—
55C2×#940—31no—
56C2×#940—61no—
57C2×#939—32no—
58C2×#938D311yescharacteristic, complemented
59C2×D4×Dic3D311yescharacteristic, complemented
60C2×#930—31no—
61C2×C4×#67—32no—
62C22×C4×Dic3—31no—
63#5596—316no—
64#5548—316no—
65C2×#895—31no—
66C2×#893—31no—
67C2×#888—31no—
68C2×#888—31no—
69C2×#885—32no—
70C2×#885—32no—
71C2×#884—32no—
72C2×#67⋊C4—32no—
73C2×C4×D12—31no—
74C2×C42×D3—31no—
75C24×C32C2312yes—
76C23×C3⋊D3C2312yes—
77C23×C3×D3C2311yescharacteristic
78C2×C32×D4—24no—
79C2×C32×D4C2314yes—
80C22×C32×C4C2311yescharacteristic
81C2×#638—28no—
82C2×#638—28no—
83C2×#638C2318yes—
84C2×#638C2318yes—
85C22×C3⋊Dic3C2311yescharacteristic
86C22×C3⋊Dic3C2311yescharacteristic
87C2×C4⋊(C3⋊D3)—24no—
88C2×C4⋊(C3⋊D3)C2314yes—
89C2×C3×#67—28no—
90C2×C3×#67C2318yes—
91C22×C3×Dic3—28no—
92C22×C3×Dic3C2311yescharacteristic
93C22×C3×Dic3C2312yes—
94C22×C3×Dic3C2312yes—
95C22×C3×Dic3C2318yes—
96C22×C3×Dic3C2311yescharacteristic
97C22×C3×Dic3C2311yescharacteristic
98C2×C3×C4×D3—24no—
99C2×C3×C4×D3C2314yes—
100C2×#627—28no—
101C2×#627C2318yes—
102C2×#626—28no—
103C2×#626C2318yes—
104C2×#624—28no—
105C2×#624C2318yes—
106#3804—264no—
107C2×D3×Dic3—24no—
108C2×D3×Dic3D418yescomplemented
109C2×D3×Dic3C2314yes—
110C2×D3×Dic3C2314yes—
111C4×C3⋊Dic3C2314yes—
112C3×#217C2318yes—
113C3×#217C2318yes—
114C3×C4⋊Dic3C2314yes—
115C3×C4⋊Dic3C2314yes—
116C3×C4×Dic3C2314yes—
117#3724C2318yes—
118#3722C2318yes—
119#3722C2318yes—
120Dic32C2314yes—
121Dic32C2314yes—
122C2×#532—91noSylow
123C22×C3×D4—21no—
124C22×C3×D4—32no—
125C22×C3×D4C2×D311yescharacteristic
126C22×C3×D4C2×D311yescharacteristic
127C23×C3×C4—32no—
128C23×C3×C4—31no—
129C22×#67—32no—
130C22×#67—32no—
131C22×#67—32no—
132C22×#67—32no—
133C22×#67—32no—
134C22×#67—62no—
135C22×#67—62no—
136C22×#67C2×D312yes—
137C23×Dic3—31no—
138C23×Dic3—31no—
139C23×Dic3C2×D312yes—
140C2×#237—316no—
141C2×#237—616no—
142C2×#235—316no—
143C2×#235—616no—
144C22×D12—32no—
145C22×D12—31no—
146C22×D12—31no—
147C22×D12—61no—
148C22×C4×D3—31no—
149C22×C4×D3—31no—
150C22×C4×D3—32no—
151C22×C4×D3—32no—
152C22×C4×D3C2×D311yescharacteristic
153C22×Dic6—32no—
154C22×Dic6—32no—
155C3×#121—38no—
156C3×C4×D4—38no—
157C2×C3×C4⋊C4—31no—
158C2×C3×C4⋊C4—31no—
159C2×C3×C22⋊C4—32no—
160C2×C3×C22⋊C4—32no—
161C2×C3×C42—31no—
162C2×#217C2×D312yes—
163C2×#217C2×D312yes—
164#940—38no—
165#940—38no—
166#940—68no—
167#939—316no—
168#938C2×D318yescomplemented
169D4×Dic3C2×D318yescomplemented
170#930—38no—
171C4×#67—316no—
172C2×(C2×D3)⋊C4—32no—
173C2×(C2×D3)⋊C4—32no—
174C2×(C2×D3)⋊C4—32no—
175C2×(C2×D3)⋊C4—32no—
176C2×C4⋊Dic3C2×D311yescharacteristic
177C2×C4⋊Dic3C2×D311yescharacteristic
178C2×Dic3⋊C4—32no—
179C2×Dic3⋊C4—32no—
180C2×C4×Dic3—31no—
181C2×C4×Dic3—31no—
182C2×C4×Dic3—31no—
183C2×C4×Dic3—31no—
184C2×C4×Dic3—31no—
185C2×C4×Dic3—31no—
186C2×C4×Dic3—38no—
187C2×C4×Dic3—61no—
188C2×C4×Dic3C2×D311yescharacteristic
189#895—38no—
190#893—38no—
191#888—38no—
192#888—38no—
193#885—316no—
194#885—316no—
195#884—316no—
196#67⋊C4—316no—
197C4×D12—38no—
198C42×D3—38no—
199C23×C32—24no—
200C23×C32—24no—
201C23×C32—24no—
202C23×C32C2414yes—
203C23×C32C2411yescharacteristic
204C22×C3⋊D3—24no—
205C22×C3⋊D3—24no—
206C22×C3⋊D3—24no—
207C22×C3⋊D3C2414yes—
208C22×C3×D3—22no—
209C22×C3×D3—22no—
210C22×C3×D3C2×D414yes—
211C22×C3×D3C2412yes—
212C32×D4—28no—
213C2×C32×C4#4114yescomplemented
214C2×C32×C4C2412yes—
215#638—216no—
216#638—216no—
217C2×C3⋊Dic3C2×D414yes—
218C2×C3⋊Dic3#4114yescomplemented
219C2×C3⋊Dic3C2412yes—
220C2×C3⋊Dic3C2412yes—
221C4⋊(C3⋊D3)—28no—
222C3×#67—216no—
223C2×C3×Dic3—24no—
224C2×C3×Dic3—24no—
225C2×C3×Dic3—22no—
226C2×C3×Dic3—22no—
227C2×C3×Dic3—216no—
228C2×C3×Dic3C2×D414yes—
229C2×C3×Dic3C2412yes—
230C2×C3×Dic3C2412yes—
231C2×C3×Dic3C2414yes—
232C2×C3×Dic3C2414yes—
233C2×C3×Dic3C2412yes—
234C3×C4×D3—28no—
235#627—216no—
236#626—216no—
237#624—216no—
238D3×Dic3—28no—
239D3×Dic3C2×D4116yescomplemented
240C22×#41—92no—
241#532—916no—
242C2×C4⋊Q8—91no—
243C2×#127—91no—
244C2×#124—92no—
245C2×#121—31no—
246C2×#121—92no—
247C2×#121—91no—
248C2×C4×D4—31no—
249C2×C4×D4—91no—
250C2×C4×D4—92no—
251C22×C42—91no—
252C24×C3—22no—
253C24×C3—31no—
254C24×C3C22×D312yes—
255C24×C3C22×D312yes—
256C23×D3—32no—
257C23×D3—32no—
258C23×D3—62no—
259C23×D3C22×D311yescharacteristic
260C2×C3×D4—24no—
261C2×C3×D4—24no—
262C2×C3×D4—24no—
263C2×C3×D4—38no—
264C2×C3×D4—44no—
265C2×C3×D4—68no—
266C2×C3×D4C22×D314yes—
267C2×C3×D4C22×D314yes—
268C22×C3×C4—21no—
269C22×C3×C4—31no—
270C22×C3×C4—31no—
271C22×C3×C4—31no—
272C22×C3×C4—32no—
273C22×C3×C4—32no—
274C22×C3×C4—38no—
275C22×C3×C4—34no—
276C22×C3×C4—68no—
277C22×C3×C4—64no—
278C22×C3×C4C22×D311yescharacteristic
279C22×C3×C4C22×D311yescharacteristic
280C2×#67—28no—
281C2×#67—38no—
282C2×#67—38no—
283C2×#67—38no—
284C2×#67—38no—
285C2×#67—38no—
286C2×#67—68no—
287C2×#67—68no—
288C2×#67—68no—
289C2×#67—68no—
290C2×#67—68no—
291C2×#67—68no—
292C2×#67—68no—
293C2×#67—128no—
294C2×#67—128no—
295C2×#67C22×D318yes—
296C22×Dic3—28no—
297C22×Dic3—31no—
298C22×Dic3—31no—
299C22×Dic3—31no—
300C22×Dic3—31no—
301C22×Dic3—38no—
302C22×Dic3—34no—
303C22×Dic3—34no—
304C22×Dic3—61no—
305C22×Dic3—61no—
306C22×Dic3—64no—
307C22×Dic3C22×D318yes—
308C22×Dic3C22×D311yescharacteristic
309C22×Dic3C22×D311yescharacteristic
310C22×Dic3C22×D312yes—
311C22×Dic3C22×D312yes—
312C22×Dic3C22×D311yescharacteristic
313#237—664no—
314#235—664no—
315C2×D12—38no—
316C2×D12—34no—
317C2×D12—34no—
318C2×D12—64no—
319C2×D12—68no—
320C2×D12—64no—
321C2×D12—64no—
322C2×D12—124no—
323C2×C4×D3—24no—
324C2×C4×D3—38no—
325C2×C4×D3—34no—
326C2×C4×D3—34no—
327C2×C4×D3—38no—
328C2×C4×D3—38no—
329C2×C4×D3—68no—
330C2×C4×D3—64no—
331C2×C4×D3—68no—
332C2×C4×D3C22×D314yes—
333C2×Dic6—38no—
334C2×Dic6—38no—
335C2×Dic6—68no—
336C2×Dic6—68no—
337C3×C4⋊C4—34no—
338C3×C4⋊C4—34no—
339C3×C22⋊C4—38no—
340C3×C22⋊C4—38no—
341C3×C42—34no—
342#217C22×D318yes—
343#217C22×D318yes—
344(C2×D3)⋊C4—38no—
345(C2×D3)⋊C4—38no—
346(C2×D3)⋊C4—38no—
347(C2×D3)⋊C4—38no—
348C4⋊Dic3C22×D314yes—
349C4⋊Dic3C22×D314yes—
350Dic3⋊C4—38no—
351Dic3⋊C4—38no—
352C4×Dic3—34no—
353C4×Dic3—34no—
354C4×Dic3—34no—
355C4×Dic3—34no—
356C4×Dic3—34no—
357C4×Dic3—34no—
358C4×Dic3—64no—
359C4×Dic3C22×D314yes—
360C22×C32—24no—
361C22×C32—24no—
362C22×C32—24no—
363C22×C32—48no—
364C22×C32C22×D412yes—
365C22×C32C2×#4112yes—
366C22×C32C2×#4112yes—
367C22×C32C2511yescharacteristic
368C2×C3⋊D3—24no—
369C2×C3⋊D3—24no—
370C2×C3⋊D3—24no—
371C2×C3⋊D3—48no—
372C2×C3×D3—28no—
373C2×C3×D3—22no—
374C2×C3×D3—22no—
375C2×C3×D3C22×D414yes—
376C32×C4C2×#4114yescomplemented
377C3⋊Dic3C22×D414yes—
378C3⋊Dic3C2×#4114yescomplemented
379C3×Dic3—24no—
380C3×Dic3—24no—
381C3×Dic3—22no—
382C3×Dic3—22no—
383C3×Dic3C22×D414yes—
384C2×#41—916no—
385C2×#41—1816no—
386C22×Q8—92no—
387C22×D4—32no—
388C22×D4—92no—
389C22×D4—92no—
390C22×D4—92no—
391C22×D4—91no—
392C22×D4D3211yescharacteristic
393C23×C4—32no—
394C23×C4—31no—
395C23×C4—92no—
396C23×C4—91no—
397C23×C4—91no—
398C4⋊Q8—98no—
399#127—98no—
400#124—916no—
401#121—38no—
402#121—916no—
403#121—98no—
404C4×D4—38no—
405C4×D4—98no—
406C4×D4—916no—
407C2×C4⋊C4—31no—
408C2×C4⋊C4—31no—
409C2×C4⋊C4—92no—
410C2×C22⋊C4—32no—
411C2×C22⋊C4—32no—
412C2×C22⋊C4—92no—
413C2×C22⋊C4—92no—
414C2×C42—31no—
415C2×C42—98no—
416C2×C42—91no—
417C2×C42—91no—
418C2×C42—91no—
419C23×C3—24no—
420C23×C3—24no—
421C23×C3—24no—
422C23×C3—24no—
423C23×C3—24no—
424C23×C3—24no—
425C23×C3—24no—
426C23×C3—21no—
427C23×C3—34no—
428C23×C3—32no—
429C23×C3—44no—
430C23×C3—44no—
431C23×C3—44no—
432C23×C3—62no—
433C23×C3—62no—
434C23×C3C23×D314yes—
435C23×C3C23×D314yes—
436C23×C3C23×D311yescharacteristic
437C23×C3C23×D311yescharacteristic
438C22×D3—22no—
439C22×D3—22no—
440C22×D3—34no—
441C22×D3—34no—
442C22×D3—64no—
443C22×D3—64no—
444C22×D3—64no—
445C22×D3—64no—
446C22×D3—64no—
447C22×D3—64no—
448C22×D3—64no—
449C22×D3—124no—
450C22×D3—124no—
451C22×D3—124no—
452C22×D3D3×D414yes—
453C22×D3C23×D312yes—
454C3×D4—28no—
455C3×D4—28no—
456C3×D4—48no—
457C3×D4—616no—
458C2×C3×C4—22no—
459C2×C3×C4—24no—
460C2×C3×C4—34no—
461C2×C3×C4—32no—
462C2×C3×C4—32no—
463C2×C3×C4—32no—
464C2×C3×C4—34no—
465C2×C3×C4—34no—
466C2×C3×C4—616no—
467C2×C3×C4—62no—
468C2×C3×C4—64no—
469C2×C3×C4—64no—
470C2×C3×C4—62no—
471C2×C3×C4—68no—
472C2×C3×C4#23514yescomplemented
473C2×C3×C4#23714yescomplemented
474C2×C3×C4C23×D312yes—
475C2×C3×C4C23×D312yes—
476#67—216no—
477#67—616no—
478#67—616no—
479#67—616no—
480#67—616no—
481#67—616no—
482#67—1216no—
483#67—1216no—
484C2×Dic3—24no—
485C2×Dic3—24no—
486C2×Dic3—22no—
487C2×Dic3—22no—
488C2×Dic3—216no—
489C2×Dic3—34no—
490C2×Dic3—34no—
491C2×Dic3—34no—
492C2×Dic3—34no—
493C2×Dic3—32no—
494C2×Dic3—32no—
495C2×Dic3—32no—
496C2×Dic3—32no—
497C2×Dic3—316no—
498C2×Dic3—64no—
499C2×Dic3—64no—
500C2×Dic3—62no—
501C2×Dic3—62no—
502C2×Dic3—68no—
503C2×Dic3D3×D414yes—
504C2×Dic3C23×D312yes—
505C2×Dic3C23×D312yes—
506C2×Dic3C23×D314yes—
507C2×Dic3C23×D314yes—
508C2×Dic3C23×D312yes—
509D12—616no—
510D12—68no—
511D12—68no—
512D12—128no—
513C4×D3—28no—
514C4×D3—316no—
515C4×D3—616no—
516C4×D3—68no—
517C4×D3—616no—
518Dic6—616no—
519Dic6—616no—
520C2×C32—44no—
521C2×C32#53214yescomplemented
522C2×C32C23×D411yescharacteristic
523C2×C32C22×#4111yescharacteristic
524C2×C32C22×#4111yescharacteristic
525C3⋊D3—44no—
526C3×D3—24no—
527C24—31no—
528C24—92no—
529C24C2×D3212yes—
530#41—1864no—
531C2×Q8—98no—
532C2×Q8—188no—
533C2×D4—24no—
534C2×D4—38no—
535C2×D4—68no—
536C2×D4—98no—
537C2×D4—98no—
538C2×D4—98no—
539C2×D4—94no—
540C2×D4—188no—
541C2×D4—188no—
542C2×D4—188no—
543C2×D4—184no—
544C2×D4C2×D3214yes—
545C22×C4—31no—
546C22×C4—38no—
547C22×C4—31no—
548C22×C4—31no—
549C22×C4—32no—
550C22×C4—32no—
551C22×C4—34no—
552C22×C4—68no—
553C22×C4—64no—
554C22×C4—98no—
555C22×C4—94no—
556C22×C4—98no—
557C22×C4—94no—
558C22×C4—91no—
559C22×C4—91no—
560C22×C4—188no—
561C22×C4—184no—
562C22×C4C2×D3211yescharacteristic
563C4⋊C4—34no—
564C4⋊C4—34no—
565C4⋊C4—98no—
566C22⋊C4—38no—
567C22⋊C4—38no—
568C22⋊C4—98no—
569C22⋊C4—98no—
570C42—34no—
571C42—94no—
572C42—94no—
573C42—94no—
574C22×C3—24no—
575C22×C3—24no—
576C22×C3—24no—
577C22×C3—24no—
578C22×C3—24no—
579C22×C3—24no—
580C22×C3—22no—
581C22×C3—22no—
582C22×C3—22no—
583C22×C3—21no—
584C22×C3—34no—
585C22×C3—44no—
586C22×C3—44no—
587C22×C3—44no—
588C22×C3—48no—
589C22×C3—48no—
590C22×C3—62no—
591C22×C3—62no—
592C22×C3—68no—
593C22×C3—88no—
594C22×C3C2×#23512yes—
595C22×C3C2×D3×D412yes—
596C22×C3C2×D3×D412yes—
597C22×C3C2×#23712yes—
598C22×C3D3×#4112yes—
599C22×C3D3×#4112yes—
600C22×C3C24×D311yescharacteristic
601C22×C3C24×D311yescharacteristic
602C2×D3—22no—
603C2×D3—22no—
604C2×D3—28no—
605C2×D3—64no—
606C2×D3—64no—
607C2×D3—64no—
608C2×D3—64no—
609C2×D3—64no—
610C2×D3—64no—
611C2×D3—124no—
612C2×D3—124no—
613C2×D3—124no—
614C2×D3—128no—
615C2×D3—128no—
616C2×D3—248no—
617C2×D3C2×D3×D414yes—
618C3×C4—24no—
619C3×C4—34no—
620C3×C4—62no—
621C3×C4—64no—
622C3×C4—64no—
623C3×C4—62no—
624C3×C4C2×#23514yescomplemented
625C3×C4C2×#23714yescomplemented
626Dic3—24no—
627Dic3—24no—
628Dic3—22no—
629Dic3—22no—
630Dic3—34no—
631Dic3—34no—
632Dic3—34no—
633Dic3—34no—
634Dic3—64no—
635Dic3—64no—
636Dic3C2×D3×D414yes—
637C32C2×#53211yescharacteristic, complemented, Sylow
638C23—24no—
639C23—24no—
640C23—24no—
641C23—34no—
642C23—32no—
643C23—62no—
644C23—62no—
645C23—94no—
646C23—184no—
647C23—184no—
648C23—184no—
649C23C22×D3214yes—
650C23C22×D3211yescharacteristic
651Q8—1816no—
652D4—28no—
653D4—616no—
654D4—1816no—
655D4—1816no—
656D4—1816no—
657D4—188no—
658C2×C4—34no—
659C2×C4—32no—
660C2×C4—32no—
661C2×C4—32no—
662C2×C4—34no—
663C2×C4—34no—
664C2×C4—616no—
665C2×C4—64no—
666C2×C4—64no—
667C2×C4—62no—
668C2×C4—62no—
669C2×C4—68no—
670C2×C4—916no—
671C2×C4—94no—
672C2×C4—94no—
673C2×C4—92no—
674C2×C4—92no—
675C2×C4—1816no—
676C2×C4—188no—
677C2×C4#380414yescomplemented
678C2×C4C22×D3212yes—
679C2×C3—24no—
680C2×C3—21no—
681C2×C3—21no—
682C2×C3—21no—
683C2×C3—44no—
684C2×C3—44no—
685C2×C3—64no—
686C2×C3—84no—
687C2×C3#554814yescomplemented
688C2×C3#559614yescomplemented
689C2×C3C22×#23511yescharacteristic
690C2×C3C22×D3×D411yescharacteristic
691C2×C3C22×D3×D411yescharacteristic
692C2×C3C22×#23711yescharacteristic
693C2×C3C2×D3×#4111yescharacteristic
694C2×C3C2×D3×#4111yescharacteristic
695D3—24no—
696D3—124no—
697D3—124no—
698D3—244no—
699C22—24no—
700C22—24no—
701C22—24no—
702C22—34no—
703C22—48no—
704C22—68no—
705C22—62no—
706C22—62no—
707C22—184no—
708C22—184no—
709C22—184no—
710C22—368no—
711C22D32×D412yes—
712C22#6431212yes—
713C22C2×#380412yes—
714C22C23×D3211yescharacteristic
715C4—34no—
716C4—64no—
717C4—64no—
718C4—62no—
719C4—62no—
720C4—94no—
721C4—94no—
722C4C2×#380414yescomplemented
723C3—21no—
724C3C2×#554811yescharacteristic, complemented
725C3C2×#559611yescharacteristic, complemented
726C2—44no—
727C2—64no—
728C2—364no—
729C2#1059513114yesdirect product factor
730C2C2×D32×D411yescharacteristic
731C2C2×#6431211yescharacteristic
732C2C22×#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×#64149C2semidirect
3. C2×C3×#938C2semidirect
4. C2×C3×D4×Dic3C2semidirect
5. C2×#63971C2semidirect
6. C2×#63953C2semidirect
7. C2×#63952C2semidirect
8. #10595131C2direct (N × H)
9. C2×#63919C2semidirect
10. C2×#63909C2semidirect
11. C2×#63894C2semidirect
12. C2×C4×D3×Dic3C2semidirect
26. C2×#3804C22semidirect
29. #64149C22semidirect
33. C3×#938C22semidirect
34. C3×D4×Dic3C22semidirect
38. #63971C22semidirect
44. #63953C22semidirect
45. #63952C22semidirect
46. #63919C22semidirect
47. #63909C22semidirect
48. #63894C22semidirect
49. C4×D3×Dic3C22semidirect
58. C2×#938D3semidirect
59. C2×D4×Dic3D3semidirect
108. C2×D3×Dic3D4semidirect
168. #938C2×D3semidirect
169. D4×Dic3C2×D3semidirect
213. C2×C32×C4#41semidirect
218. C2×C3⋊Dic3#41semidirect
239. D3×Dic3C2×D4semidirect
376. C32×C4C2×#41semidirect
378. C3⋊Dic3C2×#41semidirect
472. C2×C3×C4#235semidirect
473. C2×C3×C4#237semidirect
521. C2×C32#532semidirect
624. C3×C4C2×#235semidirect
625. C3×C4C2×#237semidirect
637. C32C2×#532semidirect
677. C2×C4#3804semidirect
687. C2×C3#5548semidirect
688. C2×C3#5596semidirect
722. C4C2×#3804semidirect
724. C3C2×#5548semidirect
725. C3C2×#5596semidirect
729. C2#10595131direct (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×#641492
C2×C3×#9382
C2×C3×D4×Dic32
C2×#639712
C2×#639532
C2×#639522
#105951312
C2×#639192
C2×#639092
C2×#638942
C2×C4×D3×Dic32
C2×#55963
C2×#55483