Finite Group Databasebeta

← C2×#10594961 #11903332

Subgroups — C2×#10594961 #11903332

Order 1152.

2693 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#638C211yesmaximal, characteristic, complemented
2C2×C3×#930C211yesmaximal, characteristic, complemented
3C2×C3×#926C211yesmaximal, characteristic, complemented
4C2×#63971C212yesmaximal, complemented
5C2×#63959C212yesmaximal, complemented
6C2×#63919C211yesmaximal, characteristic, complemented
7C2×#63916C211yesmaximal, characteristic, complemented
8#10594961C2116yesmaximal, direct product factor
9C2×#63898C211yesmaximal, characteristic, complemented
10C2×#63877C212yesmaximal, complemented
11C2×#63852C212yesmaximal, complemented
12C2×#63849C211yesmaximal, characteristic, complemented
13C2×#5616—31nomaximal
14C2×#5532—31nomaximal
15C23×C32×C4C2211yescharacteristic
16C22×#638C2211yescharacteristic
17C22×C4×C3⋊D3C2211yescharacteristic
18C22×C3×#67C2212yes—
19C22×C3×D12C2211yescharacteristic
20C22×#627C2212yes—
21C22×#626C2212yes—
22C22×D3×Dic3C2212yes—
23C2×#3757C2211yescharacteristic
24C4×#638C2218yescomplemented
25C2×#3752C2211yescharacteristic
26C2×#3750C2211yescharacteristic
27C2×C4×C3⋊Dic3C2211yescharacteristic
28C2×C3×#217C2212yes—
29C3×#930C2218yescomplemented
30C2×C3×(C2×D3)⋊C4C2212yes—
31C3×#926C2218yescomplemented
32C2×C3×C4⋊Dic3C2211yescharacteristic
33C2×C3×C4⋊Dic3C2211yescharacteristic
34C2×C3×C4⋊Dic3C2211yescharacteristic
35C2×C3×C4×Dic3C2212yes—
36#63971C22116yescomplemented
37C2×#3724C2212yes—
38C2×#3722C2212yes—
39C2×(C2×D3)⋊Dic3C2212yes—
40C2×(C2×D3)⋊Dic3C2212yes—
41#63959C22116yescomplemented
42C2×Dic32C2212yes—
43#63919C2218yescomplemented
44#63916C2218yescomplemented
45#63898C2218yescomplemented
46#63877C22116yescomplemented
47#63852C22116yescomplemented
48#63849C2218yescomplemented
49C2×C3×#121—31no—
50C2×C3×#117—31no—
51C2×#939—32no—
52C2×#938—31no—
53C2×#936—32no—
54C2×D4×Dic3—31no—
55C2×#930D311yescharacteristic, complemented
56C2×C4×#67—31no—
57C2×C4×#67—31no—
58C2×C4×#67—61no—
59C2×#926D311yescharacteristic, complemented
60#5616—316no—
61#5532—316no—
62C2×#895—31no—
63C2×#893—31no—
64C2×#892—31no—
65C2×#892—31no—
66C2×#888—31no—
67C2×#888—31no—
68C2×#885—32no—
69C2×#885—32no—
70C2×#884—32no—
71C2×#877—32no—
72C2×#875—32no—
73C2×#872—32no—
74C24×C32C2311yescharacteristic
75C23×C3⋊D3C2311yescharacteristic
76C23×C3×D3C2312yes—
77C22×C32×C4—24no—
78C22×C32×C4C2311yescharacteristic
79C22×C32×C4C2314yes—
80C22×C32×C4C2311yescharacteristic
81C2×#638—24no—
82C2×#638C2314yes—
83C22×C3⋊Dic3C2311yescharacteristic
84C22×C3⋊Dic3C2311yescharacteristic
85C22×C3⋊Dic3C2311yescharacteristic
86C2×C4×C3⋊D3—24no—
87C2×C4×C3⋊D3C2314yes—
88C2×C3×#67—44no—
89C2×C3×#67C2318yes—
90C22×C3×Dic3C2312yes—
91C22×C3×Dic3C2312yes—
92C22×C3×Dic3C2312yes—
93C2×C3×D12—24no—
94C2×C3×D12C2314yes—
95C2×#627—44no—
96C2×#627C2318yes—
97C2×#626—44no—
98C2×#626C2318yes—
99C2×D3×Dic3—28no—
100C2×D3×Dic3C2318yes—
101#3757C2314yes—
102#3752C2314yes—
103#3750C2314yes—
104C4×C3⋊Dic3C2314yes—
105C3×#217C2318yes—
106C3×(C2×D3)⋊C4C2318yes—
107C3×C4⋊Dic3C2314yes—
108C3×C4⋊Dic3C2314yes—
109C3×C4⋊Dic3C2314yes—
110C3×C4×Dic3C2318yes—
111#3724C2318yes—
112#3722C2318yes—
113(C2×D3)⋊Dic3C2318yes—
114(C2×D3)⋊Dic3C2318yes—
115Dic32C2318yes—
116C2×#555—91noSylow
117C22×C3×D4—32no—
118C22×C3×D4—31no—
119C23×C3×C4—21no—
120C23×C3×C4C2×D311yescharacteristic
121C23×C3×C4C2×D311yescharacteristic
122C22×#67—31no—
123C22×#67—31no—
124C22×#67—32no—
125C22×#67—61no—
126C22×#67C2×D312yes—
127C23×Dic3—32no—
128C22×D12—32no—
129C22×D12C2×D311yescharacteristic
130C22×C4×D3—32no—
131C22×C4×D3—31no—
132C22×C4×D3—31no—
133C22×C4×D3—61no—
134C22×Dic6—32no—
135C22×Dic6—32no—
136C3×#121—38no—
137C3×#117—38no—
138C2×C3×C4⋊C4—31no—
139C2×C3×C4⋊C4—31no—
140C2×C3×C4⋊C4—31no—
141C2×C3×C22⋊C4—32no—
142C2×C3×C22⋊C4—32no—
143C2×C3×C42—32no—
144C2×#217—31no—
145C2×#217—31no—
146C2×#217—32no—
147C2×#217—32no—
148C2×#217—61no—
149C2×#217C2×D312yes—
150#939—316no—
151#938—38no—
152#936—316no—
153D4×Dic3—38no—
154#930C2×D318yescomplemented
155C4×#67—38no—
156C4×#67—38no—
157C4×#67—68no—
158C2×(C2×D3)⋊C4—32no—
159C2×(C2×D3)⋊C4—32no—
160C2×(C2×D3)⋊C4—31no—
161C2×(C2×D3)⋊C4—31no—
162C2×(C2×D3)⋊C4—32no—
163C2×(C2×D3)⋊C4—32no—
164C2×(C2×D3)⋊C4—61no—
165C2×(C2×D3)⋊C4C2×D312yes—
166#926C2×D318yescomplemented
167C2×C4⋊Dic3C2×D311yescharacteristic
168C2×C4⋊Dic3C2×D311yescharacteristic
169C2×C4⋊Dic3C2×D311yescharacteristic
170C2×Dic3⋊C4—31no—
171C2×Dic3⋊C4—31no—
172C2×Dic3⋊C4—32no—
173C2×Dic3⋊C4—32no—
174C2×Dic3⋊C4—61no—
175C2×C4×Dic3—31no—
176C2×C4×Dic3—31no—
177C2×C4×Dic3—32no—
178C2×C4×Dic3—32no—
179C2×C4×Dic3—61no—
180C2×C4×Dic3C2×D312yes—
181#895—38no—
182#893—38no—
183#892—38no—
184#892—38no—
185#888—38no—
186#888—38no—
187#885—316no—
188#885—316no—
189#884—316no—
190#877—316no—
191#875—316no—
192#872—316no—
193C23×C32—22no—
194C23×C32—22no—
195C23×C32—22no—
196C23×C32C2412yes—
197C23×C32C2411yescharacteristic
198C22×C3⋊D3—22no—
199C22×C3⋊D3—22no—
200C22×C3⋊D3—22no—
201C22×C3⋊D3C2412yes—
202C22×C3×D3—24no—
203C22×C3×D3—24no—
204C22×C3×D3—24no—
205C22×C3×D3C2414yes—
206C2×C32×C4—22no—
207C2×C32×C4—28no—
208C2×C32×C4#4114yes—
209C2×C32×C4C2412yes—
210C2×C32×C4C2412yes—
211#638—28no—
212C2×C3⋊Dic3—22no—
213C2×C3⋊Dic3—22no—
214C2×C3⋊Dic3#4114yes—
215C2×C3⋊Dic3C2412yes—
216C2×C3⋊Dic3C2412yes—
217C2×C3⋊Dic3C2412yes—
218C4×C3⋊D3—28no—
219C3×#67—48no—
220C2×C3×Dic3—24no—
221C2×C3×Dic3—24no—
222C2×C3×Dic3—24no—
223C2×C3×Dic3C2414yes—
224C2×C3×Dic3C2414yes—
225C2×C3×Dic3C2414yes—
226C3×D12—28no—
227#627—48no—
228#626—48no—
229D3×Dic3—216no—
230#555—916no—
231C2×C4⋊Q8—91no—
232C2×#124—92no—
233C2×#124—92no—
234C2×#121—31no—
235C2×#121—92no—
236C2×#121—91no—
237C2×C4×D4—91no—
238C2×C4×D4—91no—
239C2×#117—31no—
240C2×#117—92no—
241C2×#117—91no—
242C24×C3—21no—
243C24×C3—32no—
244C24×C3C22×D311yescharacteristic
245C24×C3C22×D311yescharacteristic
246C23×D3—31no—
247C23×D3—31no—
248C23×D3—61no—
249C23×D3C22×D312yes—
250C2×C3×D4—38no—
251C2×C3×D4—34no—
252C2×C3×D4—64no—
253C2×C3×D4—124no—
254C22×C3×C4—24no—
255C22×C3×C4—24no—
256C22×C3×C4—21no—
257C22×C3×C4—21no—
258C22×C3×C4—24no—
259C22×C3×C4—32no—
260C22×C3×C4—32no—
261C22×C3×C4—32no—
262C22×C3×C4—44no—
263C22×C3×C4C22×D311yescharacteristic
264C22×C3×C4C22×D311yescharacteristic
265C22×C3×C4C22×D314yes—
266C22×C3×C4C22×D314yes—
267C22×C3×C4C22×D311yescharacteristic
268C22×C3×C4C22×D311yescharacteristic
269C2×#67—34no—
270C2×#67—34no—
271C2×#67—38no—
272C2×#67—44no—
273C2×#67—64no—
274C2×#67—64no—
275C2×#67—64no—
276C2×#67—68no—
277C2×#67—124no—
278C2×#67C22×D318yes—
279C22×Dic3—31no—
280C22×Dic3—31no—
281C22×Dic3—31no—
282C22×Dic3—31no—
283C22×Dic3—31no—
284C22×Dic3—31no—
285C22×Dic3—38no—
286C22×Dic3—61no—
287C22×Dic3—61no—
288C22×Dic3—61no—
289C22×Dic3—68no—
290C22×Dic3C22×D312yes—
291C22×Dic3C22×D312yes—
292C22×Dic3C22×D312yes—
293C2×D12—24no—
294C2×D12—38no—
295C2×D12—124no—
296C2×D12C22×D314yes—
297C2×C4×D3—38no—
298C2×C4×D3—34no—
299C2×C4×D3—34no—
300C2×C4×D3—64no—
301C2×C4×D3—68no—
302C2×C4×D3—64no—
303C2×C4×D3—64no—
304C2×C4×D3—124no—
305C2×Dic6—38no—
306C2×Dic6—38no—
307C2×Dic6—124no—
308C2×Dic6—124no—
309C3×C4⋊C4—34no—
310C3×C4⋊C4—34no—
311C3×C4⋊C4—34no—
312C3×C22⋊C4—38no—
313C3×C22⋊C4—38no—
314C3×C42—38no—
315#217—34no—
316#217—34no—
317#217—38no—
318#217—38no—
319#217—64no—
320#217C22×D318yes—
321(C2×D3)⋊C4—38no—
322(C2×D3)⋊C4—38no—
323(C2×D3)⋊C4—34no—
324(C2×D3)⋊C4—34no—
325(C2×D3)⋊C4—38no—
326(C2×D3)⋊C4—38no—
327(C2×D3)⋊C4—64no—
328(C2×D3)⋊C4C22×D318yes—
329C4⋊Dic3C22×D314yes—
330C4⋊Dic3C22×D314yes—
331C4⋊Dic3C22×D314yes—
332Dic3⋊C4—34no—
333Dic3⋊C4—34no—
334Dic3⋊C4—38no—
335Dic3⋊C4—38no—
336Dic3⋊C4—64no—
337C4×Dic3—34no—
338C4×Dic3—34no—
339C4×Dic3—38no—
340C4×Dic3—38no—
341C4×Dic3—64no—
342C4×Dic3C22×D318yes—
343C22×C32—22no—
344C22×C32—22no—
345C22×C32—22no—
346C22×C32—44no—
347C22×C32C2×#4112yes—
348C22×C32C2×#4112yes—
349C22×C32H(5,𝔽2)12yes—
350C22×C32C2511yescharacteristic
351C2×C3⋊D3—22no—
352C2×C3⋊D3—22no—
353C2×C3⋊D3—22no—
354C2×C3⋊D3—44no—
355C2×C3×D3—24no—
356C2×C3×D3—24no—
357C2×C3×D3—24no—
358C2×C3×D3—48no—
359C32×C4—22no—
360C32×C4C2×#4114yes—
361C3⋊Dic3—22no—
362C3⋊Dic3—22no—
363C3⋊Dic3C2×#4114yes—
364C3×Dic3—24no—
365C3×Dic3—24no—
366C3×Dic3—24no—
367C22×Q8—92no—
368C22×D4—32no—
369C22×D4—31no—
370C22×D4—92no—
371C22×D4—91no—
372C23×C4—92no—
373C23×C4—91no—
374C23×C4D3211yescharacteristic
375C4⋊Q8—98no—
376#124—916no—
377#124—916no—
378#121—38no—
379#121—916no—
380#121—98no—
381C4×D4—98no—
382C4×D4—98no—
383#117—38no—
384#117—916no—
385#117—98no—
386C2×C4⋊C4—31no—
387C2×C4⋊C4—31no—
388C2×C4⋊C4—31no—
389C2×C4⋊C4—92no—
390C2×C4⋊C4—91no—
391C2×C22⋊C4—32no—
392C2×C22⋊C4—32no—
393C2×C22⋊C4—92no—
394C2×C22⋊C4—92no—
395C2×C22⋊C4—92no—
396C2×C22⋊C4—91no—
397C2×C22⋊C4—91no—
398C2×C42—32no—
399C2×C42—92no—
400C2×C42—91no—
401C23×C3—24no—
402C23×C3—22no—
403C23×C3—22no—
404C23×C3—22no—
405C23×C3—22no—
406C23×C3—22no—
407C23×C3—22no—
408C23×C3—22no—
409C23×C3—21no—
410C23×C3—34no—
411C23×C3—42no—
412C23×C3—42no—
413C23×C3—64no—
414C23×C3—64no—
415C23×C3—64no—
416C23×C3C23×D312yes—
417C23×C3C23×D312yes—
418C23×C3C23×D311yescharacteristic
419C23×C3C23×D311yescharacteristic
420C22×D3—24no—
421C22×D3—24no—
422C22×D3—24no—
423C22×D3—32no—
424C22×D3—32no—
425C22×D3—62no—
426C22×D3—64no—
427C22×D3—62no—
428C22×D3—62no—
429C22×D3—62no—
430C22×D3—62no—
431C22×D3—62no—
432C22×D3—62no—
433C22×D3—122no—
434C22×D3—122no—
435C22×D3C23×D314yes—
436C3×D4—68no—
437C3×D4—128no—
438C2×C3×C4—22no—
439C2×C3×C4—22no—
440C2×C3×C4—28no—
441C2×C3×C4—28no—
442C2×C3×C4—22no—
443C2×C3×C4—22no—
444C2×C3×C4—24no—
445C2×C3×C4—34no—
446C2×C3×C4—34no—
447C2×C3×C4—34no—
448C2×C3×C4—48no—
449C2×C3×C4—42no—
450C2×C3×C4—64no—
451C2×C3×C4—64no—
452C2×C3×C4—64no—
453C2×C3×C4#23514yes—
454C2×C3×C4#23714yes—
455C2×C3×C4C23×D312yes—
456C2×C3×C4C23×D312yes—
457C2×C3×C4C23×D312yes—
458C2×C3×C4C23×D312yes—
459#67—48no—
460#67—68no—
461#67—68no—
462#67—616no—
463#67—128no—
464C2×Dic3—24no—
465C2×Dic3—24no—
466C2×Dic3—24no—
467C2×Dic3—34no—
468C2×Dic3—34no—
469C2×Dic3—32no—
470C2×Dic3—32no—
471C2×Dic3—32no—
472C2×Dic3—32no—
473C2×Dic3—32no—
474C2×Dic3—32no—
475C2×Dic3—64no—
476C2×Dic3—62no—
477C2×Dic3—62no—
478C2×Dic3—62no—
479C2×Dic3—616no—
480C2×Dic3—62no—
481C2×Dic3—62no—
482C2×Dic3—62no—
483C2×Dic3—62no—
484C2×Dic3—122no—
485C2×Dic3—122no—
486C2×Dic3C23×D314yes—
487C2×Dic3C23×D314yes—
488C2×Dic3C23×D314yes—
489D12—28no—
490D12—128no—
491C4×D3—616no—
492C4×D3—68no—
493C4×D3—68no—
494C4×D3—128no—
495Dic6—128no—
496Dic6—128no—
497C2×C32—42no—
498C2×C32#55514yescomplemented
499C2×C32C22×#4111yescharacteristic
500C2×C32C22×#4111yescharacteristic
501C2×C32C2×H(5,𝔽2)11yescharacteristic
502C3⋊D3—42no—
503C3×D3—44no—
504C24—32no—
505C24—91no—
506C24C2×D3211yescharacteristic
507C2×Q8—98no—
508C2×Q8—364no—
509C2×D4—38no—
510C2×D4—34no—
511C2×D4—64no—
512C2×D4—98no—
513C2×D4—94no—
514C2×D4—124no—
515C2×D4—184no—
516C2×D4—364no—
517C22×C4—24no—
518C22×C4—32no—
519C22×C4—32no—
520C22×C4—32no—
521C22×C4—98no—
522C22×C4—91no—
523C22×C4—91no—
524C22×C4—91no—
525C22×C4—94no—
526C22×C4—188no—
527C22×C4—184no—
528C22×C4C2×D3214yes—
529C22×C4C2×D3211yescharacteristic
530C22×C4C2×D3211yescharacteristic
531C4⋊C4—34no—
532C4⋊C4—34no—
533C4⋊C4—34no—
534C4⋊C4—98no—
535C4⋊C4—94no—
536C22⋊C4—38no—
537C22⋊C4—38no—
538C22⋊C4—98no—
539C22⋊C4—98no—
540C22⋊C4—98no—
541C22⋊C4—94no—
542C22⋊C4—94no—
543C42—38no—
544C42—98no—
545C42—94no—
546C22×C3—24no—
547C22×C3—22no—
548C22×C3—22no—
549C22×C3—22no—
550C22×C3—22no—
551C22×C3—22no—
552C22×C3—22no—
553C22×C3—22no—
554C22×C3—22no—
555C22×C3—22no—
556C22×C3—21no—
557C22×C3—42no—
558C22×C3—42no—
559C22×C3—48no—
560C22×C3—44no—
561C22×C3—44no—
562C22×C3—64no—
563C22×C3—64no—
564C22×C3—64no—
565C22×C3—128no—
566C22×C3C2×#23512yes—
567C22×C3C2×#23712yes—
568C22×C3#100412yes—
569C22×C3D3×#4112yes—
570C22×C3D3×#4112yes—
571C22×C3#100912yes—
572C22×C3C24×D311yescharacteristic
573C22×C3C24×D311yescharacteristic
574C2×D3—24no—
575C2×D3—24no—
576C2×D3—24no—
577C2×D3—48no—
578C2×D3—64no—
579C2×D3—62no—
580C2×D3—62no—
581C2×D3—62no—
582C2×D3—62no—
583C2×D3—62no—
584C2×D3—62no—
585C2×D3—122no—
586C2×D3—122no—
587C2×D3—128no—
588C2×D3—124no—
589C2×D3—124no—
590C3×C4—22no—
591C3×C4—22no—
592C3×C4—24no—
593C3×C4—42no—
594C3×C4—64no—
595C3×C4—64no—
596C3×C4—64no—
597C3×C4C2×#23514yes—
598C3×C4C2×#23714yes—
599Dic3—24no—
600Dic3—24no—
601Dic3—24no—
602Dic3—34no—
603Dic3—34no—
604Dic3—64no—
605Dic3—62no—
606Dic3—62no—
607Dic3—62no—
608Dic3—62no—
609Dic3—122no—
610Dic3—122no—
611C32C2×#55511yescharacteristic, complemented, Sylow
612C23—22no—
613C23—22no—
614C23—22no—
615C23—34no—
616C23—64no—
617C23—64no—
618C23—64no—
619C23—92no—
620C23—182no—
621C23—182no—
622C23—182no—
623C23C22×D3212yes—
624C23C22×D3211yescharacteristic
625Q8—368no—
626D4—68no—
627D4—128no—
628D4—188no—
629D4—368no—
630C2×C4—22no—
631C2×C4—28no—
632C2×C4—34no—
633C2×C4—34no—
634C2×C4—34no—
635C2×C4—64no—
636C2×C4—64no—
637C2×C4—64no—
638C2×C4—94no—
639C2×C4—92no—
640C2×C4—92no—
641C2×C4—92no—
642C2×C4—1816no—
643C2×C4—182no—
644C2×C4—182no—
645C2×C4—188no—
646C2×C4#380414yes—
647C2×C4C22×D3212yes—
648C2×C4C22×D3212yes—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—21no—
652C2×C3—24no—
653C2×C3—44no—
654C2×C3—42no—
655C2×C3—42no—
656C2×C3—124no—
657C2×C3#553214yescomplemented
658C2×C3#561614yescomplemented
659C2×C3C22×#23511yescharacteristic
660C2×C3C22×#23711yescharacteristic
661C2×C3C2×#100411yescharacteristic
662C2×C3C2×D3×#4111yescharacteristic
663C2×C3C2×D3×#4111yescharacteristic
664C2×C3C2×#100911yescharacteristic
665D3—44no—
666D3—124no—
667D3—122no—
668D3—122no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—44no—
673C22—64no—
674C22—64no—
675C22—64no—
676C22—128no—
677C22—182no—
678C22—182no—
679C22—182no—
680C22—364no—
681C22#6430612yes—
682C22#6430712yes—
683C22C2×#380412yes—
684C22C23×D3211yescharacteristic
685C4—22no—
686C4—64no—
687C4—64no—
688C4—64no—
689C4—94no—
690C4—182no—
691C4—182no—
692C4C2×#380414yes—
693C3—21no—
694C3C2×#553211yescharacteristic, complemented
695C3C2×#561611yescharacteristic, complemented
696C2—42no—
697C2—124no—
698C2—362no—
699C2#1059496114yesdirect product factor
700C2C2×#6430611yescharacteristic
701C2C2×#6430711yescharacteristic
702C2C22×#380411yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC23×C32×C4C22
socleC23×C32C24
hypercenterC23×C4D32
hypocenterC32C2×#555
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C2×C4×#638C2semidirect
2. C2×C3×#930C2semidirect
3. C2×C3×#926C2semidirect
4. C2×#63971C2semidirect
5. C2×#63959C2semidirect
6. C2×#63919C2semidirect
7. C2×#63916C2semidirect
8. #10594961C2direct (N × H)
9. C2×#63898C2semidirect
10. C2×#63877C2semidirect
11. C2×#63852C2semidirect
12. C2×#63849C2semidirect
24. C4×#638C22semidirect
29. C3×#930C22semidirect
31. C3×#926C22semidirect
36. #63971C22semidirect
41. #63959C22semidirect
43. #63919C22semidirect
44. #63916C22semidirect
45. #63898C22semidirect
46. #63877C22semidirect
47. #63852C22semidirect
48. #63849C22semidirect
55. C2×#930D3semidirect
59. C2×#926D3semidirect
154. #930C2×D3semidirect
166. #926C2×D3semidirect
498. C2×C32#555semidirect
611. C32C2×#555semidirect
657. C2×C3#5532semidirect
658. C2×C3#5616semidirect
694. C3C2×#5532semidirect
695. C3C2×#5616semidirect
699. C2#10594961direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×#6382
C2×C3×#9302
C2×C3×#9262
C2×#639712
C2×#639592
C2×#639192
C2×#639162
#105949612
C2×#638982
C2×#638772
C2×#638522
C2×#638492
C2×#56163
C2×#55323