Finite Group Databasebeta

← C2×#10594985 #11901511

Subgroups — C2×#10594985 #11901511

Order 1152.

2733 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64139C211yesmaximal, characteristic, complemented
2C2×C3×#930C211yesmaximal, characteristic, complemented
3C2×C3×#926C211yesmaximal, characteristic, complemented
4C2×#63971C212yesmaximal, complemented
5C2×#63958C212yesmaximal, complemented
6C2×#63911C211yesmaximal, characteristic, complemented
7#10594985C2116yesmaximal, direct product factor
8C2×#63894C211yesmaximal, characteristic, complemented
9C2×Dic3×D12C211yesmaximal, characteristic, complemented
10C2×#63890C212yesmaximal, complemented
11C2×#63869C211yesmaximal, characteristic, complemented
12C2×#63854C212yesmaximal, complemented
13C2×#5619—31nomaximal
14C2×#5535—31nomaximal
15C23×C32×C4C2211yescharacteristic
16C22×#638C2212yes—
17C22×C4⋊(C3⋊D3)C2211yescharacteristic
18C22×C3×#67C2212yes—
19C22×C3×D12C2211yescharacteristic
20C22×#626C2212yes—
21C22×#626C2212yes—
22C22×#624C2212yes—
23C22×D3×Dic3C2212yes—
24#64139C2218yescomplemented
25C2×#3752C2212yes—
26C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
27C2×C3×#217C2211yescharacteristic
28C2×C3×#217C2211yescharacteristic
29C3×#930C2218yescomplemented
30C2×C3×(C2×D3)⋊C4C2212yes—
31C3×#926C2218yescomplemented
32C2×C3×C4⋊Dic3C2211yescharacteristic
33C2×C3×C4⋊Dic3C2211yescharacteristic
34C2×C3×C4⋊Dic3C2211yescharacteristic
35C2×C3×C4×Dic3C2211yescharacteristic
36C2×C3×C4×Dic3C2211yescharacteristic
37#63971C22116yescomplemented
38C2×#3724C2212yes—
39C2×Dic3⋊Dic3C2212yes—
40C2×#3722C2212yes—
41C2×(C2×D3)⋊Dic3C2212yes—
42#63958C22116yescomplemented
43#63911C2218yescomplemented
44#63894C2218yescomplemented
45Dic3×D12C2218yescomplemented
46#63890C22116yescomplemented
47#63869C2218yescomplemented
48#63854C22116yescomplemented
49C2×C3×#121—31no—
50C2×C3×#117—31no—
51C2×#940—31no—
52C2×#939—32no—
53C2×#938—32no—
54C2×D4×Dic3—31no—
55C2×#930—31no—
56C2×#930—31no—
57C2×#930—61no—
58C2×#930D311yescharacteristic, complemented
59C2×#926D311yescharacteristic, complemented
60#5619—316no—
61#5535—316no—
62C2×#894—32no—
63C2×#894—32no—
64C2×#893—31no—
65C2×#890—31no—
66C2×#886—32no—
67C2×#884—32no—
68C2×#884—32no—
69C2×#883—32no—
70C2×#874—31no—
71C2×C4×D12—31no—
72C2×C4×D12—31no—
73C2×#870—31no—
74C24×C32C2311yescharacteristic
75C23×C3⋊D3C2312yes—
76C23×C3×D3C2312yes—
77C22×C32×C4—24no—
78C22×C32×C4C2311yescharacteristic
79C22×C32×C4C2314yes—
80C22×C32×C4C2311yescharacteristic
81C2×#638—44no—
82C2×#638C2318yes—
83C22×C3⋊Dic3C2312yes—
84C2×C4⋊(C3⋊D3)—24no—
85C2×C4⋊(C3⋊D3)C2314yes—
86C2×C3×#67—44no—
87C2×C3×#67C2318yes—
88C22×C3×Dic3C2311yescharacteristic
89C22×C3×Dic3C2311yescharacteristic
90C22×C3×Dic3C2311yescharacteristic
91C22×C3×Dic3C2311yescharacteristic
92C22×C3×Dic3C2312yes—
93C2×C3×D12—24no—
94C2×C3×D12C2314yes—
95C2×#626—44no—
96C2×#626—44no—
97C2×#626C2318yes—
98C2×#626C2318yes—
99C2×#624—44no—
100C2×#624C2318yes—
101C2×D3×Dic3—44no—
102C2×D3×Dic3C2318yes—
103#3752C2318yes—
104C4⋊(C3⋊Dic3)C2314yes—
105C3×#217C2314yes—
106C3×#217C2314yes—
107C3×(C2×D3)⋊C4C2318yes—
108C3×C4⋊Dic3C2314yes—
109C3×C4⋊Dic3C2314yes—
110C3×C4⋊Dic3C2314yes—
111C3×C4×Dic3C2314yes—
112C3×C4×Dic3C2314yes—
113#3724C2318yes—
114Dic3⋊Dic3C2318yes—
115#3722C2318yes—
116(C2×D3)⋊Dic3C2318yes—
117C2×#540—91noSylow
118C22×C3×D4—32no—
119C22×C3×D4—31no—
120C23×C3×C4—21no—
121C23×C3×C4C2×D311yescharacteristic
122C23×C3×C4C2×D311yescharacteristic
123C22×#67—32no—
124C22×#67—32no—
125C22×#67—32no—
126C22×#67—32no—
127C22×#67—62no—
128C22×#67C2×D312yes—
129C23×Dic3—32no—
130C22×D12—31no—
131C22×D12—31no—
132C22×D12—32no—
133C22×D12—32no—
134C22×D12—61no—
135C22×D12C2×D311yescharacteristic
136C22×C4×D3—32no—
137C22×C4×D3—32no—
138C22×C4×D3—32no—
139C3×#121—38no—
140C3×#117—38no—
141C2×C3×C4⋊C4—31no—
142C2×C3×C4⋊C4—31no—
143C2×C3×C4⋊C4—31no—
144C2×C3×C22⋊C4—31no—
145C2×C3×C22⋊C4—31no—
146C2×C3×C22⋊C4—32no—
147C2×C3×C42—31no—
148C2×C3×C42—31no—
149C2×#217—32no—
150C2×#217C2×D311yescharacteristic
151C2×#217C2×D311yescharacteristic
152#940—38no—
153#939—316no—
154#938—316no—
155D4×Dic3—38no—
156#930—38no—
157#930—38no—
158#930—68no—
159#930C2×D318yescomplemented
160C2×(C2×D3)⋊C4—32no—
161C2×(C2×D3)⋊C4—32no—
162C2×(C2×D3)⋊C4—32no—
163C2×(C2×D3)⋊C4—32no—
164C2×(C2×D3)⋊C4—32no—
165C2×(C2×D3)⋊C4—62no—
166C2×(C2×D3)⋊C4C2×D312yes—
167#926C2×D318yescomplemented
168C2×C4⋊Dic3—31no—
169C2×C4⋊Dic3—31no—
170C2×C4⋊Dic3—32no—
171C2×C4⋊Dic3—61no—
172C2×C4⋊Dic3C2×D311yescharacteristic
173C2×C4⋊Dic3C2×D311yescharacteristic
174C2×C4⋊Dic3C2×D311yescharacteristic
175C2×Dic3⋊C4—32no—
176C2×Dic3⋊C4—32no—
177C2×Dic3⋊C4—32no—
178C2×C4×Dic3C2×D311yescharacteristic
179C2×C4×Dic3C2×D311yescharacteristic
180#894—316no—
181#894—316no—
182#893—38no—
183#890—38no—
184#886—316no—
185#884—316no—
186#884—316no—
187#883—316no—
188#874—38no—
189C4×D12—38no—
190C4×D12—38no—
191#870—38no—
192C23×C32—22no—
193C23×C32—22no—
194C23×C32—22no—
195C23×C32C2412yes—
196C23×C32C2411yescharacteristic
197C22×C3⋊D3—24no—
198C22×C3⋊D3—24no—
199C22×C3⋊D3—24no—
200C22×C3⋊D3C2414yes—
201C22×C3×D3—24no—
202C22×C3×D3—24no—
203C22×C3×D3—24no—
204C22×C3×D3C2414yes—
205C2×C32×C4—22no—
206C2×C32×C4—28no—
207C2×C32×C4#4114yes—
208C2×C32×C4C2412yes—
209C2×C32×C4C2412yes—
210#638—48no—
211C2×C3⋊Dic3—24no—
212C2×C3⋊Dic3C2414yes—
213C4⋊(C3⋊D3)—28no—
214C3×#67—48no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—24no—
218C2×C3×Dic3—22no—
219C2×C3×Dic3—22no—
220C2×C3×Dic3C2412yes—
221C2×C3×Dic3C2412yes—
222C2×C3×Dic3C2414yes—
223C2×C3×Dic3C2412yes—
224C2×C3×Dic3C2412yes—
225C3×D12—28no—
226#626—48no—
227#626—48no—
228#624—48no—
229D3×Dic3—48no—
230#540—916no—
231C2×#127—91no—
232C2×#125—91no—
233C2×#123—92no—
234C2×#123—92no—
235C2×#121—31no—
236C2×#121—92no—
237C2×#121—92no—
238C2×#121—91no—
239C2×C4×D4—91no—
240C2×C4×D4—91no—
241C2×#117—31no—
242C24×C3—21no—
243C24×C3—32no—
244C24×C3C22×D311yescharacteristic
245C24×C3C22×D311yescharacteristic
246C23×D3—32no—
247C23×D3—32no—
248C23×D3—62no—
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—31no—
260C22×C3×C4—31no—
261C22×C3×C4—32no—
262C22×C3×C4—31no—
263C22×C3×C4—31no—
264C22×C3×C4—44no—
265C22×C3×C4C22×D311yescharacteristic
266C22×C3×C4C22×D314yes—
267C22×C3×C4C22×D311yescharacteristic
268C22×C3×C4C22×D314yes—
269C22×C3×C4C22×D311yescharacteristic
270C22×C3×C4C22×D311yescharacteristic
271C2×#67—38no—
272C2×#67—38no—
273C2×#67—38no—
274C2×#67—38no—
275C2×#67—44no—
276C2×#67—68no—
277C2×#67—124no—
278C2×#67—124no—
279C2×#67—124no—
280C2×#67—124no—
281C2×#67—128no—
282C2×#67C22×D318yes—
283C22×Dic3—32no—
284C22×Dic3—32no—
285C22×Dic3—38no—
286C22×Dic3—62no—
287C22×Dic3—124no—
288C22×Dic3C22×D311yescharacteristic
289C22×Dic3C22×D311yescharacteristic
290C22×Dic3C22×D311yescharacteristic
291C22×Dic3C22×D311yescharacteristic
292C22×Dic3C22×D312yes—
293C2×D12—24no—
294C2×D12—34no—
295C2×D12—34no—
296C2×D12—38no—
297C2×D12—38no—
298C2×D12—64no—
299C2×D12—64no—
300C2×D12—64no—
301C2×D12—124no—
302C2×D12—124no—
303C2×D12—124no—
304C2×D12C22×D314yes—
305C2×C4×D3—38no—
306C2×C4×D3—38no—
307C2×C4×D3—38no—
308C2×C4×D3—124no—
309C2×C4×D3—124no—
310C2×C4×D3—124no—
311C3×C4⋊C4—34no—
312C3×C4⋊C4—34no—
313C3×C4⋊C4—34no—
314C3×C22⋊C4—34no—
315C3×C22⋊C4—34no—
316C3×C22⋊C4—38no—
317C3×C42—34no—
318C3×C42—34no—
319#217—38no—
320#217C22×D314yes—
321#217C22×D314yes—
322(C2×D3)⋊C4—38no—
323(C2×D3)⋊C4—38no—
324(C2×D3)⋊C4—38no—
325(C2×D3)⋊C4—38no—
326(C2×D3)⋊C4—38no—
327(C2×D3)⋊C4—68no—
328(C2×D3)⋊C4C22×D318yes—
329C4⋊Dic3—34no—
330C4⋊Dic3—34no—
331C4⋊Dic3—38no—
332C4⋊Dic3—64no—
333C4⋊Dic3C22×D314yes—
334C4⋊Dic3C22×D314yes—
335C4⋊Dic3C22×D314yes—
336Dic3⋊C4—38no—
337Dic3⋊C4—38no—
338Dic3⋊C4—38no—
339C4×Dic3C22×D314yes—
340C4×Dic3C22×D314yes—
341C22×C32—22no—
342C22×C32—22no—
343C22×C32—22no—
344C22×C32—44no—
345C22×C32C2×#4112yes—
346C22×C32H(5,𝔽2)12yes—
347C22×C32H(5,𝔽2)12yes—
348C22×C32C2511yescharacteristic
349C2×C3⋊D3—24no—
350C2×C3⋊D3—24no—
351C2×C3⋊D3—24no—
352C2×C3⋊D3—48no—
353C2×C3×D3—24no—
354C2×C3×D3—24no—
355C2×C3×D3—24no—
356C2×C3×D3—48no—
357C32×C4—22no—
358C32×C4C2×#4114yes—
359C3⋊Dic3—24no—
360C3×Dic3—22no—
361C3×Dic3—22no—
362C3×Dic3—24no—
363C3×Dic3—22no—
364C3×Dic3—22no—
365C22×D4—32no—
366C22×D4—31no—
367C22×D4—92no—
368C22×D4—92no—
369C22×D4—92no—
370C22×D4—91no—
371C23×C4—92no—
372C23×C4—92no—
373C23×C4D3211yescharacteristic
374#127—98no—
375#125—98no—
376#123—916no—
377#123—916no—
378#121—38no—
379#121—916no—
380#121—916no—
381#121—98no—
382C4×D4—98no—
383C4×D4—98no—
384#117—38no—
385C2×C4⋊C4—31no—
386C2×C4⋊C4—31no—
387C2×C4⋊C4—31no—
388C2×C4⋊C4—92no—
389C2×C4⋊C4—92no—
390C2×C4⋊C4—91no—
391C2×C22⋊C4—31no—
392C2×C22⋊C4—31no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—92no—
395C2×C22⋊C4—92no—
396C2×C22⋊C4—92no—
397C2×C42—31no—
398C2×C42—31no—
399C23×C3—24no—
400C23×C3—22no—
401C23×C3—22no—
402C23×C3—22no—
403C23×C3—22no—
404C23×C3—22no—
405C23×C3—22no—
406C23×C3—22no—
407C23×C3—21no—
408C23×C3—34no—
409C23×C3—42no—
410C23×C3—42no—
411C23×C3—64no—
412C23×C3—64no—
413C23×C3—64no—
414C23×C3C23×D312yes—
415C23×C3C23×D312yes—
416C23×C3C23×D311yescharacteristic
417C23×C3C23×D311yescharacteristic
418C22×D3—24no—
419C22×D3—24no—
420C22×D3—24no—
421C22×D3—34no—
422C22×D3—34no—
423C22×D3—64no—
424C22×D3—64no—
425C22×D3—64no—
426C22×D3—64no—
427C22×D3—64no—
428C22×D3—64no—
429C22×D3—64no—
430C22×D3—124no—
431C22×D3—124no—
432C22×D3—124no—
433C22×D3C23×D314yes—
434C3×D4—68no—
435C3×D4—128no—
436C2×C3×C4—22no—
437C2×C3×C4—22no—
438C2×C3×C4—28no—
439C2×C3×C4—28no—
440C2×C3×C4—22no—
441C2×C3×C4—22no—
442C2×C3×C4—24no—
443C2×C3×C4—32no—
444C2×C3×C4—32no—
445C2×C3×C4—34no—
446C2×C3×C4—32no—
447C2×C3×C4—32no—
448C2×C3×C4—48no—
449C2×C3×C4—42no—
450C2×C3×C4—62no—
451C2×C3×C4—62no—
452C2×C3×C4—62no—
453C2×C3×C4—64no—
454C2×C3×C4—62no—
455C2×C3×C4#23514yes—
456C2×C3×C4#23714yes—
457C2×C3×C4C23×D312yes—
458C2×C3×C4C23×D312yes—
459C2×C3×C4C23×D312yes—
460C2×C3×C4C23×D312yes—
461#67—48no—
462#67—128no—
463#67—128no—
464#67—128no—
465#67—128no—
466#67—1216no—
467C2×Dic3—24no—
468C2×Dic3—22no—
469C2×Dic3—22no—
470C2×Dic3—22no—
471C2×Dic3—22no—
472C2×Dic3—34no—
473C2×Dic3—34no—
474C2×Dic3—64no—
475C2×Dic3—64no—
476C2×Dic3—64no—
477C2×Dic3—124no—
478C2×Dic3—128no—
479C2×Dic3C23×D312yes—
480C2×Dic3C23×D312yes—
481C2×Dic3C23×D312yes—
482C2×Dic3C23×D312yes—
483C2×Dic3C23×D314yes—
484D12—28no—
485D12—68no—
486D12—68no—
487D12—128no—
488D12—128no—
489D12—128no—
490C4×D3—128no—
491C4×D3—128no—
492C4×D3—128no—
493C2×C32—42no—
494C2×C32#54014yescomplemented
495C2×C32C22×#4111yescharacteristic
496C2×C32C2×H(5,𝔽2)11yescharacteristic
497C2×C32C2×H(5,𝔽2)11yescharacteristic
498C3⋊D3—44no—
499C3×D3—44no—
500C24—32no—
501C24—92no—
502C24C2×D3211yescharacteristic
503C2×D4—38no—
504C2×D4—34no—
505C2×D4—64no—
506C2×D4—98no—
507C2×D4—98no—
508C2×D4—98no—
509C2×D4—94no—
510C2×D4—124no—
511C2×D4—184no—
512C2×D4—364no—
513C2×D4—364no—
514C2×D4—364no—
515C22×C4—24no—
516C22×C4—31no—
517C22×C4—31no—
518C22×C4—31no—
519C22×C4—31no—
520C22×C4—32no—
521C22×C4—98no—
522C22×C4—98no—
523C22×C4—92no—
524C22×C4—364no—
525C22×C4—364no—
526C22×C4C2×D3214yes—
527C22×C4C2×D3211yescharacteristic
528C22×C4C2×D3211yescharacteristic
529C4⋊C4—34no—
530C4⋊C4—34no—
531C4⋊C4—34no—
532C4⋊C4—98no—
533C4⋊C4—98no—
534C4⋊C4—94no—
535C22⋊C4—34no—
536C22⋊C4—34no—
537C22⋊C4—38no—
538C22⋊C4—98no—
539C22⋊C4—98no—
540C22⋊C4—98no—
541C42—34no—
542C42—34no—
543C22×C3—24no—
544C22×C3—22no—
545C22×C3—22no—
546C22×C3—22no—
547C22×C3—22no—
548C22×C3—22no—
549C22×C3—22no—
550C22×C3—22no—
551C22×C3—22no—
552C22×C3—22no—
553C22×C3—21no—
554C22×C3—42no—
555C22×C3—42no—
556C22×C3—48no—
557C22×C3—44no—
558C22×C3—44no—
559C22×C3—64no—
560C22×C3—64no—
561C22×C3—64no—
562C22×C3—128no—
563C22×C3C2×#23512yes—
564C22×C3C2×#23712yes—
565C22×C3#100412yes—
566C22×C3#100912yes—
567C22×C3#100912yes—
568C22×C3#100912yes—
569C22×C3C24×D311yescharacteristic
570C22×C3C24×D311yescharacteristic
571C2×D3—24no—
572C2×D3—24no—
573C2×D3—24no—
574C2×D3—48no—
575C2×D3—64no—
576C2×D3—64no—
577C2×D3—64no—
578C2×D3—64no—
579C2×D3—64no—
580C2×D3—64no—
581C2×D3—124no—
582C2×D3—124no—
583C2×D3—124no—
584C2×D3—128no—
585C2×D3—128no—
586C2×D3—248no—
587C3×C4—22no—
588C3×C4—22no—
589C3×C4—24no—
590C3×C4—42no—
591C3×C4—62no—
592C3×C4—62no—
593C3×C4—62no—
594C3×C4—64no—
595C3×C4—62no—
596C3×C4C2×#23514yes—
597C3×C4C2×#23714yes—
598Dic3—24no—
599Dic3—22no—
600Dic3—22no—
601Dic3—22no—
602Dic3—22no—
603Dic3—64no—
604Dic3—64no—
605Dic3—124no—
606C32C2×#54011yescharacteristic, complemented, Sylow
607C23—22no—
608C23—22no—
609C23—22no—
610C23—34no—
611C23—64no—
612C23—64no—
613C23—64no—
614C23—94no—
615C23—184no—
616C23—184no—
617C23—184no—
618C23C22×D3212yes—
619C23C22×D3211yescharacteristic
620D4—68no—
621D4—128no—
622D4—188no—
623D4—368no—
624D4—368no—
625D4—368no—
626C2×C4—22no—
627C2×C4—28no—
628C2×C4—32no—
629C2×C4—32no—
630C2×C4—32no—
631C2×C4—32no—
632C2×C4—34no—
633C2×C4—62no—
634C2×C4—64no—
635C2×C4—62no—
636C2×C4—62no—
637C2×C4—62no—
638C2×C4—94no—
639C2×C4—184no—
640C2×C4—368no—
641C2×C4—368no—
642C2×C4#380414yes—
643C2×C4C22×D3212yes—
644C2×C4C22×D3212yes—
645C2×C3—21no—
646C2×C3—21no—
647C2×C3—21no—
648C2×C3—24no—
649C2×C3—44no—
650C2×C3—42no—
651C2×C3—42no—
652C2×C3—124no—
653C2×C3#553514yescomplemented
654C2×C3#561914yescomplemented
655C2×C3C22×#23511yescharacteristic
656C2×C3C22×#23711yescharacteristic
657C2×C3C2×#100411yescharacteristic
658C2×C3C2×#100911yescharacteristic
659C2×C3C2×#100911yescharacteristic
660C2×C3C2×#100911yescharacteristic
661D3—44no—
662D3—124no—
663D3—124no—
664D3—244no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—44no—
669C22—64no—
670C22—64no—
671C22—64no—
672C22—128no—
673C22—184no—
674C22—184no—
675C22—184no—
676C22—368no—
677C22#6430712yes—
678C22#6430812yes—
679C22C2×#380412yes—
680C22C23×D3211yescharacteristic
681C4—22no—
682C4—62no—
683C4—64no—
684C4—62no—
685C4—62no—
686C4—62no—
687C4—184no—
688C4C2×#380414yes—
689C3—21no—
690C3C2×#553511yescharacteristic, complemented
691C3C2×#561911yescharacteristic, complemented
692C2—42no—
693C2—124no—
694C2—364no—
695C2#1059498514yesdirect product factor
696C2C2×#6430711yescharacteristic
697C2C2×#6430811yescharacteristic
698C2C22×#380411yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC23×C32×C4C22
socleC23×C32C24
hypercenterC23×C4D32
hypocenterC32C2×#540
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C2×#64139C2semidirect
2. C2×C3×#930C2semidirect
3. C2×C3×#926C2semidirect
4. C2×#63971C2semidirect
5. C2×#63958C2semidirect
6. C2×#63911C2semidirect
7. #10594985C2direct (N × H)
8. C2×#63894C2semidirect
9. C2×Dic3×D12C2semidirect
10. C2×#63890C2semidirect
11. C2×#63869C2semidirect
12. C2×#63854C2semidirect
24. #64139C22semidirect
29. C3×#930C22semidirect
31. C3×#926C22semidirect
37. #63971C22semidirect
42. #63958C22semidirect
43. #63911C22semidirect
44. #63894C22semidirect
45. Dic3×D12C22semidirect
46. #63890C22semidirect
47. #63869C22semidirect
48. #63854C22semidirect
58. C2×#930D3semidirect
59. C2×#926D3semidirect
159. #930C2×D3semidirect
167. #926C2×D3semidirect
494. C2×C32#540semidirect
606. C32C2×#540semidirect
653. C2×C3#5535semidirect
654. C2×C3#5619semidirect
690. C3C2×#5535semidirect
691. C3C2×#5619semidirect
695. C2#10594985direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#641392
C2×C3×#9302
C2×C3×#9262
C2×#639712
C2×#639582
C2×#639112
#105949852
C2×#638942
C2×Dic3×D122
C2×#638902
C2×#638692
C2×#638542
C2×#56193
C2×#55353