Finite Group Databasebeta

← C2×#10595143 #11902734

Subgroups — C2×#10595143 #11902734

Order 1152.

3721 conjugacy classes of subgroups.

The subgroup lattice has 742 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×#940C211yesmaximal, characteristic, complemented
4C2×C3×D4×Dic3C211yesmaximal, characteristic, complemented
5C2×#63978C212yesmaximal, complemented
6C2×#63971C212yesmaximal, complemented
7C2×#63958C212yesmaximal, complemented
8#10595143C2116yesmaximal, direct product factor
9C2×C4×#627C211yesmaximal, characteristic, complemented
10C2×#63911C211yesmaximal, characteristic, complemented
11C2×#63898C211yesmaximal, characteristic, complemented
12C2×#63894C211yesmaximal, characteristic, complemented
13C2×#5718—31nomaximal
14C2×#5553—31nomaximal
15C22×C32×D4C2211yescharacteristic
16C22×#638C2212yes—
17C22×#638C2212yes—
18C22×C4⋊(C3⋊D3)C2211yescharacteristic
19C22×C3×#67C2212yes—
20C22×C3×#67C2212yes—
21C23×C3×Dic3C2212yes—
22C22×C3×D12C2211yescharacteristic
23C22×#627C2211yescharacteristic
24C22×#626C2212yes—
25C22×#626C2212yes—
26C22×#624C2212yes—
27C2×#3804—216no—
28C2×#3804C22116yescomplemented
29C22×D3×Dic3C2212yes—
30#64149C2218yescomplemented
31C2×C4×C3⋊Dic3C2211yescharacteristic
32C2×C3×#217C2212yes—
33C3×#940C2218yescomplemented
34C3×D4×Dic3C2218yescomplemented
35C2×C3×C4⋊Dic3C2211yescharacteristic
36C2×C3×C4×Dic3C2211yescharacteristic
37C2×C3×C4×Dic3C2211yescharacteristic
38#63978C22116yescomplemented
39#63971C22116yescomplemented
40C2×#3724C2211yescharacteristic
41C2×Dic3⋊Dic3C2211yescharacteristic
42C2×Dic3⋊Dic3C2211yescharacteristic
43C2×#3722C2212yes—
44C2×(C2×D3)⋊Dic3C2212yes—
45#63958C22116yescomplemented
46C4×#627C2218yescomplemented
47#63911C2218yescomplemented
48#63898C2218yescomplemented
49#63894C2218yescomplemented
50C22×#237—32no—
51C22×#235—32no—
52C2×C3×#127—31no—
53C2×C3×C4×D4—31no—
54C2×#940—31no—
55C2×#940—31no—
56C2×#940—31no—
57C2×#940—61no—
58C2×#940D311yescharacteristic, complemented
59C2×#939—32no—
60C2×#939—32no—
61C2×#938—32no—
62C2×D4×Dic3—31no—
63C2×D4×Dic3D311yescharacteristic, complemented
64C2×#930—32no—
65#5718—316no—
66#5553—316no—
67C2×#893—31no—
68C2×#893—31no—
69C2×#884—32no—
70C2×#884—32no—
71C2×#874—31no—
72C2×C4×D12—31no—
73C2×C4×Dic6—31no—
74C2×C4×Dic6—31no—
75C24×C32C2312yes—
76C23×C3⋊D3C2312yes—
77C23×C3×D3C2312yes—
78C2×C32×D4—24no—
79C2×C32×D4C2314yes—
80C22×C32×C4C2311yescharacteristic
81C2×#638—28no—
82C2×#638—44no—
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×#67—44no—
91C2×C3×#67C2318yes—
92C2×C3×#67C2318yes—
93C22×C3×Dic3—28no—
94C22×C3×Dic3C2311yescharacteristic
95C22×C3×Dic3C2311yescharacteristic
96C22×C3×Dic3C2312yes—
97C22×C3×Dic3C2318yes—
98C22×C3×Dic3C2311yescharacteristic
99C22×C3×Dic3C2311yescharacteristic
100C2×C3×D12—24no—
101C2×C3×D12C2314yes—
102C2×#627D418yescomplemented
103C2×#627C2314yes—
104C2×#626—28no—
105C2×#626—44no—
106C2×#626C2318yes—
107C2×#626C2318yes—
108C2×#624—28no—
109C2×#624C2318yes—
110#3804—264no—
111C2×D3×Dic3—28no—
112C2×D3×Dic3C2318yes—
113C4×C3⋊Dic3C2314yes—
114C3×#217C2318yes—
115C3×C4⋊Dic3C2314yes—
116C3×C4×Dic3C2314yes—
117C3×C4×Dic3C2314yes—
118#3724C2314yes—
119Dic3⋊Dic3C2314yes—
120Dic3⋊Dic3C2314yes—
121#3722C2318yes—
122(C2×D3)⋊Dic3C2318yes—
123C2×#550—91noSylow
124C22×C3×D4—21no—
125C22×C3×D4—32no—
126C22×C3×D4—32no—
127C22×C3×D4—31no—
128C22×C3×D4C2×D311yescharacteristic
129C22×C3×D4C2×D311yescharacteristic
130C23×C3×C4—32no—
131C22×#67—32no—
132C22×#67—32no—
133C22×#67—32no—
134C22×#67—32no—
135C22×#67—32no—
136C22×#67—32no—
137C22×#67—62no—
138C22×#67—62no—
139C22×#67C2×D312yes—
140C22×#67C2×D312yes—
141C23×Dic3—32no—
142C23×Dic3C2×D312yes—
143C2×#237—316no—
144C2×#237—616no—
145C2×#235—316no—
146C2×#235—616no—
147C22×D12—32no—
148C22×D12—31no—
149C22×D12—31no—
150C22×D12—32no—
151C22×D12—61no—
152C22×D12C2×D311yescharacteristic
153C22×C4×D3—32no—
154C22×C4×D3—32no—
155C22×C4×D3—32no—
156C22×Dic6—31no—
157C22×Dic6—31no—
158C3×#127—38no—
159C3×C4×D4—38no—
160C2×C3×C4⋊C4—31no—
161C2×C3×C22⋊C4—32no—
162C2×C3×C42—31no—
163C2×C3×C42—31no—
164C2×#217—32no—
165C2×#217C2×D312yes—
166#940—38no—
167#940—38no—
168#940—38no—
169#940—68no—
170#940C2×D318yescomplemented
171#939—316no—
172#939—316no—
173#938—316no—
174D4×Dic3—38no—
175D4×Dic3C2×D318yescomplemented
176#930—316no—
177C2×(C2×D3)⋊C4—32no—
178C2×(C2×D3)⋊C4—32no—
179C2×(C2×D3)⋊C4—32no—
180C2×C4⋊Dic3—31no—
181C2×C4⋊Dic3—31no—
182C2×C4⋊Dic3C2×D311yescharacteristic
183C2×Dic3⋊C4—31no—
184C2×Dic3⋊C4—31no—
185C2×Dic3⋊C4—31no—
186C2×Dic3⋊C4—31no—
187C2×C4×Dic3—31no—
188C2×C4×Dic3—31no—
189C2×C4×Dic3—61no—
190C2×C4×Dic3C2×D311yescharacteristic
191C2×C4×Dic3C2×D311yescharacteristic
192#893—38no—
193#893—38no—
194#884—316no—
195#884—316no—
196#874—38no—
197C4×D12—38no—
198C4×Dic6—38no—
199C4×Dic6—38no—
200C23×C32—24no—
201C23×C32—24no—
202C23×C32—24no—
203C23×C32C2414yes—
204C23×C32C2411yescharacteristic
205C22×C3⋊D3—24no—
206C22×C3⋊D3—24no—
207C22×C3⋊D3—24no—
208C22×C3⋊D3C2414yes—
209C22×C3×D3—24no—
210C22×C3×D3—24no—
211C22×C3×D3—24no—
212C22×C3×D3C2414yes—
213C32×D4—28no—
214C2×C32×C4#4114yescomplemented
215C2×C32×C4C2412yes—
216#638—216no—
217#638—48no—
218C2×C3⋊Dic3—22no—
219C2×C3⋊Dic3C2×D414yes—
220C2×C3⋊Dic3C2412yes—
221C2×C3⋊Dic3C2412yes—
222C4⋊(C3⋊D3)—28no—
223C3×#67—216no—
224C3×#67—48no—
225C2×C3×Dic3—24no—
226C2×C3×Dic3—22no—
227C2×C3×Dic3—22no—
228C2×C3×Dic3—216no—
229C2×C3×Dic3C2×D414yes—
230C2×C3×Dic3C2×D414yes—
231C2×C3×Dic3C2414yes—
232C2×C3×Dic3C2412yes—
233C2×C3×Dic3C2412yes—
234C2×C3×Dic3C2412yes—
235C2×C3×Dic3C2412yes—
236C3×D12—28no—
237#627C2×D4116yescomplemented
238#626—216no—
239#626—48no—
240#624—216no—
241D3×Dic3—216no—
242C22×#41—92no—
243#550—916no—
244C2×#127—31no—
245C2×#127—91no—
246C2×#127—91no—
247C2×#121—92no—
248C2×#121—92no—
249C2×#121—92no—
250C2×C4×Q8—91no—
251C2×C4×D4—31no—
252C2×C4×D4—91no—
253C2×C4×D4—91no—
254C24×C3—22no—
255C24×C3—32no—
256C24×C3C22×D312yes—
257C24×C3C22×D312yes—
258C23×D3—32no—
259C23×D3—32no—
260C23×D3—62no—
261C23×D3C22×D312yes—
262C2×C3×D4—24no—
263C2×C3×D4—24no—
264C2×C3×D4—24no—
265C2×C3×D4—38no—
266C2×C3×D4—38no—
267C2×C3×D4—34no—
268C2×C3×D4—44no—
269C2×C3×D4—68no—
270C2×C3×D4—64no—
271C2×C3×D4—124no—
272C2×C3×D4C22×D314yes—
273C2×C3×D4C22×D314yes—
274C22×C3×C4—21no—
275C22×C3×C4—31no—
276C22×C3×C4—31no—
277C22×C3×C4—31no—
278C22×C3×C4—31no—
279C22×C3×C4—32no—
280C22×C3×C4—38no—
281C22×C3×C4—68no—
282C22×C3×C4C22×D311yescharacteristic
283C22×C3×C4C22×D311yescharacteristic
284C2×#67—28no—
285C2×#67—38no—
286C2×#67—38no—
287C2×#67—38no—
288C2×#67—38no—
289C2×#67—38no—
290C2×#67—38no—
291C2×#67—44no—
292C2×#67—68no—
293C2×#67—68no—
294C2×#67—68no—
295C2×#67—68no—
296C2×#67—68no—
297C2×#67—128no—
298C2×#67—124no—
299C2×#67—124no—
300C2×#67—124no—
301C2×#67—128no—
302C2×#67C22×D318yes—
303C2×#67C22×D318yes—
304C22×Dic3—28no—
305C22×Dic3—31no—
306C22×Dic3—31no—
307C22×Dic3—31no—
308C22×Dic3—31no—
309C22×Dic3—38no—
310C22×Dic3—61no—
311C22×Dic3—61no—
312C22×Dic3—68no—
313C22×Dic3C22×D311yescharacteristic
314C22×Dic3C22×D311yescharacteristic
315C22×Dic3C22×D312yes—
316C22×Dic3C22×D318yes—
317C22×Dic3C22×D311yescharacteristic
318C22×Dic3C22×D311yescharacteristic
319#237—664no—
320#235—664no—
321C2×D12—24no—
322C2×D12—38no—
323C2×D12—34no—
324C2×D12—34no—
325C2×D12—38no—
326C2×D12—64no—
327C2×D12—68no—
328C2×D12—64no—
329C2×D12—64no—
330C2×D12—124no—
331C2×D12—124no—
332C2×D12C22×D314yes—
333C2×C4×D3—38no—
334C2×C4×D3—38no—
335C2×C4×D3—38no—
336C2×C4×D3—68no—
337C2×C4×D3—68no—
338C2×C4×D3—68no—
339C2×Dic6—38no—
340C2×Dic6—38no—
341C2×Dic6—34no—
342C2×Dic6—34no—
343C3×C4⋊C4—34no—
344C3×C22⋊C4—38no—
345C3×C42—34no—
346C3×C42—34no—
347#217—38no—
348#217C22×D318yes—
349(C2×D3)⋊C4—38no—
350(C2×D3)⋊C4—38no—
351(C2×D3)⋊C4—38no—
352C4⋊Dic3—34no—
353C4⋊Dic3—34no—
354C4⋊Dic3C22×D314yes—
355Dic3⋊C4—34no—
356Dic3⋊C4—34no—
357Dic3⋊C4—34no—
358Dic3⋊C4—34no—
359C4×Dic3—34no—
360C4×Dic3—34no—
361C4×Dic3—64no—
362C4×Dic3C22×D314yes—
363C4×Dic3C22×D314yes—
364C22×C32—24no—
365C22×C32—24no—
366C22×C32—24no—
367C22×C32—48no—
368C22×C32C22×D412yes—
369C22×C32C2×#4112yes—
370C22×C32H(5,𝔽2)12yes—
371C22×C32C2511yescharacteristic
372C2×C3⋊D3—24no—
373C2×C3⋊D3—24no—
374C2×C3⋊D3—24no—
375C2×C3⋊D3—48no—
376C2×C3×D3—24no—
377C2×C3×D3—24no—
378C2×C3×D3—24no—
379C2×C3×D3—48no—
380C32×C4C2×#4114yescomplemented
381C3⋊Dic3—22no—
382C3⋊Dic3C22×D414yes—
383C3×Dic3—24no—
384C3×Dic3—22no—
385C3×Dic3—22no—
386C3×Dic3C22×D414yes—
387C3×Dic3C22×D414yes—
388C2×#41—916no—
389C2×#41—1816no—
390C22×Q8—91no—
391C22×D4—32no—
392C22×D4—32no—
393C22×D4—31no—
394C22×D4—92no—
395C22×D4—92no—
396C22×D4—92no—
397C22×D4—92no—
398C22×D4—91no—
399C22×D4D3211yescharacteristic
400C23×C4—32no—
401C23×C4—92no—
402C23×C4—92no—
403#127—38no—
404#127—98no—
405#127—98no—
406#121—916no—
407#121—916no—
408#121—916no—
409C4×Q8—98no—
410C4×D4—38no—
411C4×D4—98no—
412C4×D4—98no—
413C2×C4⋊C4—31no—
414C2×C4⋊C4—91no—
415C2×C4⋊C4—91no—
416C2×C4⋊C4—91no—
417C2×C22⋊C4—32no—
418C2×C22⋊C4—92no—
419C2×C22⋊C4—92no—
420C2×C42—31no—
421C2×C42—31no—
422C2×C42—91no—
423C23×C3—24no—
424C23×C3—24no—
425C23×C3—24no—
426C23×C3—24no—
427C23×C3—24no—
428C23×C3—24no—
429C23×C3—24no—
430C23×C3—21no—
431C23×C3—34no—
432C23×C3—44no—
433C23×C3—44no—
434C23×C3—44no—
435C23×C3—64no—
436C23×C3—64no—
437C23×C3—64no—
438C23×C3C23×D314yes—
439C23×C3C23×D314yes—
440C23×C3C23×D311yescharacteristic
441C23×C3C23×D311yescharacteristic
442C22×D3—24no—
443C22×D3—24no—
444C22×D3—24no—
445C22×D3—34no—
446C22×D3—34no—
447C22×D3—64no—
448C22×D3—64no—
449C22×D3—64no—
450C22×D3—64no—
451C22×D3—64no—
452C22×D3—64no—
453C22×D3—64no—
454C22×D3—124no—
455C22×D3—124no—
456C22×D3—124no—
457C22×D3C23×D314yes—
458C3×D4—28no—
459C3×D4—28no—
460C3×D4—48no—
461C3×D4—616no—
462C3×D4—68no—
463C3×D4—128no—
464C2×C3×C4—22no—
465C2×C3×C4—24no—
466C2×C3×C4—34no—
467C2×C3×C4—34no—
468C2×C3×C4—32no—
469C2×C3×C4—32no—
470C2×C3×C4—32no—
471C2×C3×C4—32no—
472C2×C3×C4—34no—
473C2×C3×C4—616no—
474C2×C3×C4—64no—
475C2×C3×C4—62no—
476C2×C3×C4—62no—
477C2×C3×C4#23514yescomplemented
478C2×C3×C4#23714yescomplemented
479C2×C3×C4C23×D312yes—
480C2×C3×C4C23×D312yes—
481#67—216no—
482#67—48no—
483#67—616no—
484#67—616no—
485#67—616no—
486#67—1216no—
487#67—128no—
488#67—128no—
489#67—128no—
490#67—1216no—
491C2×Dic3—24no—
492C2×Dic3—22no—
493C2×Dic3—22no—
494C2×Dic3—216no—
495C2×Dic3—34no—
496C2×Dic3—34no—
497C2×Dic3—32no—
498C2×Dic3—32no—
499C2×Dic3—32no—
500C2×Dic3—32no—
501C2×Dic3—64no—
502C2×Dic3—62no—
503C2×Dic3—62no—
504C2×Dic3—616no—
505C2×Dic3—64no—
506C2×Dic3—62no—
507C2×Dic3—62no—
508C2×Dic3D3×D414yes—
509C2×Dic3D3×D414yes—
510C2×Dic3C23×D312yes—
511C2×Dic3C23×D312yes—
512C2×Dic3C23×D314yes—
513C2×Dic3C23×D312yes—
514C2×Dic3C23×D312yes—
515D12—28no—
516D12—616no—
517D12—68no—
518D12—68no—
519D12—128no—
520D12—128no—
521C4×D3—616no—
522C4×D3—616no—
523C4×D3—616no—
524Dic6—316no—
525Dic6—316no—
526C2×C32—44no—
527C2×C32#55014yescomplemented
528C2×C32C23×D411yescharacteristic
529C2×C32C22×#4111yescharacteristic
530C2×C32C2×H(5,𝔽2)11yescharacteristic
531C3⋊D3—44no—
532C3×D3—44no—
533C24—32no—
534C24—92no—
535C24C2×D3212yes—
536#41—1864no—
537C2×Q8—94no—
538C2×Q8—98no—
539C2×D4—24no—
540C2×D4—38no—
541C2×D4—38no—
542C2×D4—34no—
543C2×D4—68no—
544C2×D4—64no—
545C2×D4—98no—
546C2×D4—98no—
547C2×D4—98no—
548C2×D4—98no—
549C2×D4—94no—
550C2×D4—124no—
551C2×D4—188no—
552C2×D4—188no—
553C2×D4—184no—
554C2×D4—364no—
555C2×D4—364no—
556C2×D4C2×D3214yes—
557C22×C4—31no—
558C22×C4—31no—
559C22×C4—38no—
560C22×C4—31no—
561C22×C4—31no—
562C22×C4—32no—
563C22×C4—68no—
564C22×C4—98no—
565C22×C4—98no—
566C22×C4—91no—
567C22×C4—91no—
568C22×C4—188no—
569C22×C4—188no—
570C22×C4C2×D3211yescharacteristic
571C4⋊C4—34no—
572C4⋊C4—94no—
573C4⋊C4—94no—
574C4⋊C4—94no—
575C22⋊C4—38no—
576C22⋊C4—98no—
577C22⋊C4—98no—
578C42—34no—
579C42—34no—
580C42—94no—
581C22×C3—24no—
582C22×C3—24no—
583C22×C3—24no—
584C22×C3—24no—
585C22×C3—24no—
586C22×C3—24no—
587C22×C3—22no—
588C22×C3—22no—
589C22×C3—22no—
590C22×C3—21no—
591C22×C3—44no—
592C22×C3—44no—
593C22×C3—44no—
594C22×C3—48no—
595C22×C3—48no—
596C22×C3—64no—
597C22×C3—64no—
598C22×C3—64no—
599C22×C3—88no—
600C22×C3—128no—
601C22×C3C2×#23512yes—
602C22×C3C2×D3×D412yes—
603C22×C3C2×D3×D412yes—
604C22×C3C2×#23712yes—
605C22×C3#100412yes—
606C22×C3#100912yes—
607C22×C3C24×D311yescharacteristic
608C22×C3C24×D311yescharacteristic
609C2×D3—24no—
610C2×D3—24no—
611C2×D3—24no—
612C2×D3—48no—
613C2×D3—64no—
614C2×D3—64no—
615C2×D3—64no—
616C2×D3—64no—
617C2×D3—64no—
618C2×D3—64no—
619C2×D3—124no—
620C2×D3—124no—
621C2×D3—124no—
622C2×D3—128no—
623C2×D3—128no—
624C2×D3—248no—
625C3×C4—24no—
626C3×C4—34no—
627C3×C4—34no—
628C3×C4—64no—
629C3×C4—62no—
630C3×C4—62no—
631C3×C4C2×#23514yescomplemented
632C3×C4C2×#23714yescomplemented
633Dic3—24no—
634Dic3—22no—
635Dic3—22no—
636Dic3—34no—
637Dic3—34no—
638Dic3—64no—
639Dic3—64no—
640Dic3—62no—
641Dic3—62no—
642Dic3C2×D3×D414yes—
643Dic3C2×D3×D414yes—
644C32C2×#55011yescharacteristic, complemented, Sylow
645C23—24no—
646C23—24no—
647C23—24no—
648C23—34no—
649C23—64no—
650C23—64no—
651C23—64no—
652C23—94no—
653C23—184no—
654C23—184no—
655C23—184no—
656C23C22×D3214yes—
657C23C22×D3211yescharacteristic
658Q8—916no—
659D4—28no—
660D4—616no—
661D4—68no—
662D4—128no—
663D4—1816no—
664D4—1816no—
665D4—188no—
666D4—368no—
667D4—368no—
668C2×C4—34no—
669C2×C4—34no—
670C2×C4—32no—
671C2×C4—32no—
672C2×C4—32no—
673C2×C4—32no—
674C2×C4—34no—
675C2×C4—616no—
676C2×C4—64no—
677C2×C4—62no—
678C2×C4—62no—
679C2×C4—94no—
680C2×C4—92no—
681C2×C4—92no—
682C2×C4—1816no—
683C2×C4—1816no—
684C2×C4—182no—
685C2×C4#380414yescomplemented
686C2×C4C22×D3212yes—
687C2×C3—21no—
688C2×C3—21no—
689C2×C3—24no—
690C2×C3—21no—
691C2×C3—44no—
692C2×C3—44no—
693C2×C3—84no—
694C2×C3—124no—
695C2×C3#555314yescomplemented
696C2×C3#571814yescomplemented
697C2×C3C22×#23511yescharacteristic
698C2×C3C22×D3×D411yescharacteristic
699C2×C3C22×D3×D411yescharacteristic
700C2×C3C22×#23711yescharacteristic
701C2×C3C2×#100411yescharacteristic
702C2×C3C2×#100911yescharacteristic
703D3—44no—
704D3—124no—
705D3—124no—
706D3—244no—
707C22—24no—
708C22—24no—
709C22—24no—
710C22—48no—
711C22—64no—
712C22—64no—
713C22—64no—
714C22—128no—
715C22—184no—
716C22—184no—
717C22—184no—
718C22—368no—
719C22D32×D412yes—
720C22#6431412yes—
721C22C2×#380412yes—
722C22C23×D3211yescharacteristic
723C4—34no—
724C4—34no—
725C4—64no—
726C4—62no—
727C4—62no—
728C4—94no—
729C4—182no—
730C4C2×#380414yescomplemented
731C3—21no—
732C3C2×#555311yescharacteristic, complemented
733C3C2×#571811yescharacteristic, complemented
734C2—44no—
735C2—124no—
736C2—364no—
737C2#1059514314yesdirect product factor
738C2C2×D32×D411yescharacteristic
739C2C2×#6431411yescharacteristic
740C2C22×#380411yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC22×C32×D4C22
socleC23×C32C24
hypercenterC22×D4D32
hypocenterC32C2×#550
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×#940C2semidirect
4. C2×C3×D4×Dic3C2semidirect
5. C2×#63978C2semidirect
6. C2×#63971C2semidirect
7. C2×#63958C2semidirect
8. #10595143C2direct (N × H)
9. C2×C4×#627C2semidirect
10. C2×#63911C2semidirect
11. C2×#63898C2semidirect
12. C2×#63894C2semidirect
28. C2×#3804C22semidirect
30. #64149C22semidirect
33. C3×#940C22semidirect
34. C3×D4×Dic3C22semidirect
38. #63978C22semidirect
39. #63971C22semidirect
45. #63958C22semidirect
46. C4×#627C22semidirect
47. #63911C22semidirect
48. #63898C22semidirect
49. #63894C22semidirect
58. C2×#940D3semidirect
63. C2×D4×Dic3D3semidirect
102. C2×#627D4semidirect
170. #940C2×D3semidirect
175. D4×Dic3C2×D3semidirect
214. C2×C32×C4#41semidirect
237. #627C2×D4semidirect
380. C32×C4C2×#41semidirect
477. C2×C3×C4#235semidirect
478. C2×C3×C4#237semidirect
527. C2×C32#550semidirect
631. C3×C4C2×#235semidirect
632. C3×C4C2×#237semidirect
644. C32C2×#550semidirect
685. C2×C4#3804semidirect
695. C2×C3#5553semidirect
696. C2×C3#5718semidirect
730. C4C2×#3804semidirect
732. C3C2×#5553semidirect
733. C3C2×#5718semidirect
737. C2#10595143direct (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×#9402
C2×C3×D4×Dic32
C2×#639782
C2×#639712
C2×#639582
#105951432
C2×C4×#6272
C2×#639112
C2×#638982
C2×#638942
C2×#57183
C2×#55533