Finite Group Databasebeta

← C2×#10595125 #11901508

Subgroups — C2×#10595125 #11901508

Order 1152.

2769 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64149C211yesmaximal, characteristic, complemented
2C2×C3×#938C211yesmaximal, characteristic, complemented
3C2×C3×D4×Dic3C211yesmaximal, characteristic, complemented
4C2×#63978C212yesmaximal, complemented
5C2×#63975C212yesmaximal, complemented
6C2×#63966C212yesmaximal, complemented
7C2×#63958C212yesmaximal, complemented
8#10595125C2116yesmaximal, direct product factor
9C2×#63909C211yesmaximal, characteristic, complemented
10C2×#63894C211yesmaximal, characteristic, complemented
11C2×#63872C211yesmaximal, characteristic, complemented
12C2×#63855C211yesmaximal, characteristic, complemented
13C2×#5619—31nomaximal
14C2×#5562—31nomaximal
15C22×C32×D4C2211yescharacteristic
16C22×#638C2212yes—
17C22×#638C2212yes—
18C22×C4⋊(C3⋊D3)C2211yescharacteristic
19C22×C3×#67C2212yes—
20C23×C3×Dic3C2212yes—
21C22×C3×C4×D3C2211yescharacteristic
22C22×#626C2212yes—
23C22×#624C2212yes—
24#64149C2218yescomplemented
25C2×C4×C3⋊Dic3C2211yescharacteristic
26C2×C3×#217C2212yes—
27C2×C3×#217C2212yes—
28C3×#938C2218yescomplemented
29C3×D4×Dic3C2218yescomplemented
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×C4×Dic3C2211yescharacteristic
33#63978C22116yescomplemented
34#63975C22116yescomplemented
35#63966C22116yescomplemented
36C2×Dic3⋊Dic3C2211yescharacteristic
37C2×Dic3⋊Dic3C2211yescharacteristic
38C2×Dic3⋊Dic3C2212yes—
39C2×Dic3⋊Dic3C2212yes—
40C2×#3722C2212yes—
41C2×#3722C2212yes—
42C2×(C2×D3)⋊Dic3C2211yescharacteristic
43C2×(C2×D3)⋊Dic3C2211yescharacteristic
44#63958C22116yescomplemented
45#63909C2218yescomplemented
46#63894C2218yescomplemented
47#63872C2218yescomplemented
48#63855C2218yescomplemented
49C2×C3×#121—31no—
50C2×C3×C4×D4—31no—
51C2×#940—31no—
52C2×#940—31no—
53C2×#940—61no—
54C2×#939—32no—
55C2×#938—32no—
56C2×#938D311yescharacteristic, complemented
57C2×D4×Dic3D311yescharacteristic, complemented
58C2×#930—32no—
59C2×#930—31no—
60C2×#929—32no—
61C2×#926—31no—
62#5619—316no—
63#5562—316no—
64C2×#895—31no—
65C2×#893—31no—
66C2×#890—31no—
67C2×#890—31no—
68C2×#886—32no—
69C2×#884—32no—
70C2×#883—32no—
71C2×#883—32no—
72C2×C4×D12—31no—
73C2×#872—31no—
74C24×C32C2312yes—
75C23×C3⋊D3C2312yes—
76C23×C3×D3C2311yescharacteristic
77C2×C32×D4—24no—
78C2×C32×D4C2314yes—
79C22×C32×C4C2311yescharacteristic
80C2×#638—44no—
81C2×#638—44no—
82C2×#638C2318yes—
83C2×#638C2318yes—
84C22×C3⋊Dic3C2311yescharacteristic
85C22×C3⋊Dic3C2311yescharacteristic
86C2×C4⋊(C3⋊D3)—24no—
87C2×C4⋊(C3⋊D3)C2314yes—
88C2×C3×#67—44no—
89C2×C3×#67C2318yes—
90C22×C3×Dic3—44no—
91C22×C3×Dic3C2311yescharacteristic
92C22×C3×Dic3C2311yescharacteristic
93C22×C3×Dic3C2312yes—
94C22×C3×Dic3C2312yes—
95C22×C3×Dic3C2311yescharacteristic
96C22×C3×Dic3C2318yes—
97C2×C3×C4×D3—24no—
98C2×C3×C4×D3C2314yes—
99C2×#626—44no—
100C2×#626C2318yes—
101C2×#624—44no—
102C2×#624C2318yes—
103C4×C3⋊Dic3C2314yes—
104C3×#217C2318yes—
105C3×#217C2318yes—
106C3×C4⋊Dic3C2314yes—
107C3×C4⋊Dic3C2314yes—
108C3×C4×Dic3C2314yes—
109Dic3⋊Dic3C2314yes—
110Dic3⋊Dic3C2314yes—
111Dic3⋊Dic3C2318yes—
112Dic3⋊Dic3C2318yes—
113#3722C2318yes—
114#3722C2318yes—
115(C2×D3)⋊Dic3C2314yes—
116(C2×D3)⋊Dic3C2314yes—
117C2×#540—91noSylow
118C22×C3×D4—21no—
119C22×C3×D4—32no—
120C22×C3×D4C2×D311yescharacteristic
121C22×C3×D4C2×D311yescharacteristic
122C23×C3×C4—32no—
123C23×C3×C4—31no—
124C22×#67—32no—
125C22×#67—32no—
126C22×#67—32no—
127C22×#67—32no—
128C22×#67—32no—
129C22×#67—62no—
130C22×#67—62no—
131C22×#67C2×D312yes—
132C23×Dic3C2×D312yes—
133C22×D12—31no—
134C22×D12—31no—
135C22×D12—32no—
136C22×D12—61no—
137C22×C4×D3—32no—
138C22×C4×D3—32no—
139C22×C4×D3C2×D311yescharacteristic
140C3×#121—38no—
141C3×C4×D4—38no—
142C2×C3×C4⋊C4—31no—
143C2×C3×C4⋊C4—31no—
144C2×C3×C22⋊C4—32no—
145C2×C3×C22⋊C4—32no—
146C2×C3×C42—31no—
147C2×#217—31no—
148C2×#217—31no—
149C2×#217C2×D312yes—
150C2×#217C2×D312yes—
151#940—38no—
152#940—38no—
153#940—68no—
154#939—316no—
155#938—316no—
156#938C2×D318yescomplemented
157D4×Dic3C2×D318yescomplemented
158#930—316no—
159#930—38no—
160#929—316no—
161C2×(C2×D3)⋊C4—31no—
162C2×(C2×D3)⋊C4—31no—
163C2×(C2×D3)⋊C4—32no—
164C2×(C2×D3)⋊C4—32no—
165C2×(C2×D3)⋊C4—32no—
166C2×(C2×D3)⋊C4—32no—
167#926—38no—
168C2×C4⋊Dic3—31no—
169C2×C4⋊Dic3—32no—
170C2×C4⋊Dic3—31no—
171C2×C4⋊Dic3—32no—
172C2×C4⋊Dic3C2×D311yescharacteristic
173C2×C4⋊Dic3C2×D311yescharacteristic
174C2×Dic3⋊C4—31no—
175C2×Dic3⋊C4—31no—
176C2×Dic3⋊C4—32no—
177C2×Dic3⋊C4—32no—
178C2×C4×Dic3—31no—
179C2×C4×Dic3—31no—
180C2×C4×Dic3—61no—
181C2×C4×Dic3C2×D311yescharacteristic
182#895—38no—
183#893—38no—
184#890—38no—
185#890—38no—
186#886—316no—
187#884—316no—
188#883—316no—
189#883—316no—
190C4×D12—38no—
191#872—38no—
192C23×C32—24no—
193C23×C32—24no—
194C23×C32—24no—
195C23×C32C2414yes—
196C23×C32C2411yescharacteristic
197C22×C3⋊D3—24no—
198C22×C3⋊D3—24no—
199C22×C3⋊D3—24no—
200C22×C3⋊D3C2414yes—
201C22×C3×D3—22no—
202C22×C3×D3—22no—
203C22×C3×D3—22no—
204C22×C3×D3C2412yes—
205C32×D4—28no—
206C2×C32×C4#4114yes—
207C2×C32×C4C2412yes—
208#638—48no—
209#638—48no—
210C2×C3⋊Dic3—22no—
211C2×C3⋊Dic3—22no—
212C2×C3⋊Dic3C2412yes—
213C2×C3⋊Dic3C2412yes—
214C4⋊(C3⋊D3)—28no—
215C3×#67—48no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—22no—
218C2×C3×Dic3—24no—
219C2×C3×Dic3—24no—
220C2×C3×Dic3—22no—
221C2×C3×Dic3—48no—
222C2×C3×Dic3C2412yes—
223C2×C3×Dic3C2412yes—
224C2×C3×Dic3C2412yes—
225C2×C3×Dic3C2414yes—
226C2×C3×Dic3C2414yes—
227C3×C4×D3—28no—
228#626—48no—
229#624—48no—
230#540—916no—
231C2×#127—91no—
232C2×#125—91no—
233C2×#123—92no—
234C2×#123—92no—
235C2×#121—31no—
236C2×#121—92no—
237C2×#121—91no—
238C2×#121—92no—
239C2×C4×D4—31no—
240C2×C4×D4—91no—
241C2×#117—91no—
242C24×C3—22no—
243C24×C3—31no—
244C24×C3C22×D312yes—
245C24×C3C22×D312yes—
246C23×D3—32no—
247C23×D3—32no—
248C23×D3—62no—
249C23×D3C22×D311yescharacteristic
250C2×C3×D4—24no—
251C2×C3×D4—24no—
252C2×C3×D4—24no—
253C2×C3×D4—38no—
254C2×C3×D4—44no—
255C2×C3×D4—124no—
256C2×C3×D4C22×D314yes—
257C2×C3×D4C22×D314yes—
258C22×C3×C4—21no—
259C22×C3×C4—32no—
260C22×C3×C4—32no—
261C22×C3×C4—31no—
262C22×C3×C4—31no—
263C22×C3×C4—31no—
264C22×C3×C4—38no—
265C22×C3×C4—34no—
266C22×C3×C4—64no—
267C22×C3×C4—124no—
268C22×C3×C4C22×D311yescharacteristic
269C22×C3×C4C22×D311yescharacteristic
270C2×#67—38no—
271C2×#67—38no—
272C2×#67—38no—
273C2×#67—38no—
274C2×#67—38no—
275C2×#67—44no—
276C2×#67—68no—
277C2×#67—68no—
278C2×#67—124no—
279C2×#67—124no—
280C2×#67—124no—
281C2×#67—124no—
282C2×#67—124no—
283C2×#67—128no—
284C2×#67—128no—
285C2×#67C22×D318yes—
286C22×Dic3—31no—
287C22×Dic3—31no—
288C22×Dic3—31no—
289C22×Dic3—31no—
290C22×Dic3—44no—
291C22×Dic3—61no—
292C22×Dic3—61no—
293C22×Dic3C22×D311yescharacteristic
294C22×Dic3C22×D311yescharacteristic
295C22×Dic3C22×D311yescharacteristic
296C22×Dic3C22×D312yes—
297C22×Dic3C22×D312yes—
298C22×Dic3C22×D318yes—
299C2×D12—34no—
300C2×D12—34no—
301C2×D12—38no—
302C2×D12—64no—
303C2×D12—64no—
304C2×D12—64no—
305C2×D12—124no—
306C2×D12—124no—
307C2×C4×D3—24no—
308C2×C4×D3—38no—
309C2×C4×D3—38no—
310C2×C4×D3—124no—
311C2×C4×D3—124no—
312C2×C4×D3C22×D314yes—
313C3×C4⋊C4—34no—
314C3×C4⋊C4—34no—
315C3×C22⋊C4—38no—
316C3×C22⋊C4—38no—
317C3×C42—34no—
318#217—34no—
319#217—34no—
320#217C22×D318yes—
321#217C22×D318yes—
322(C2×D3)⋊C4—34no—
323(C2×D3)⋊C4—34no—
324(C2×D3)⋊C4—38no—
325(C2×D3)⋊C4—38no—
326(C2×D3)⋊C4—38no—
327(C2×D3)⋊C4—38no—
328C4⋊Dic3—34no—
329C4⋊Dic3—38no—
330C4⋊Dic3—34no—
331C4⋊Dic3—38no—
332C4⋊Dic3C22×D314yes—
333C4⋊Dic3C22×D314yes—
334Dic3⋊C4—34no—
335Dic3⋊C4—34no—
336Dic3⋊C4—38no—
337Dic3⋊C4—38no—
338C4×Dic3—34no—
339C4×Dic3—34no—
340C4×Dic3—64no—
341C4×Dic3C22×D314yes—
342C22×C32—24no—
343C22×C32—24no—
344C22×C32—24no—
345C22×C32—48no—
346C22×C32C2×#4112yes—
347C22×C32H(5,𝔽2)12yes—
348C22×C32H(5,𝔽2)12yes—
349C22×C32C2511yescharacteristic
350C2×C3⋊D3—24no—
351C2×C3⋊D3—24no—
352C2×C3⋊D3—24no—
353C2×C3⋊D3—48no—
354C2×C3×D3—22no—
355C2×C3×D3—22no—
356C2×C3×D3—22no—
357C2×C3×D3—44no—
358C32×C4C2×#4114yes—
359C3⋊Dic3—22no—
360C3⋊Dic3—22no—
361C3×Dic3—22no—
362C3×Dic3—22no—
363C3×Dic3—24no—
364C3×Dic3—24no—
365C3×Dic3—22no—
366C22×D4—32no—
367C22×D4—92no—
368C22×D4—92no—
369C22×D4—92no—
370C22×D4—91no—
371C22×D4D3211yescharacteristic
372C23×C4—32no—
373C23×C4—31no—
374C23×C4—92no—
375#127—98no—
376#125—98no—
377#123—916no—
378#123—916no—
379#121—38no—
380#121—916no—
381#121—98no—
382#121—916no—
383C4×D4—38no—
384C4×D4—98no—
385#117—98no—
386C2×C4⋊C4—31no—
387C2×C4⋊C4—31no—
388C2×C4⋊C4—91no—
389C2×C4⋊C4—91no—
390C2×C4⋊C4—92no—
391C2×C4⋊C4—92no—
392C2×C22⋊C4—32no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—92no—
395C2×C22⋊C4—92no—
396C2×C22⋊C4—91no—
397C2×C22⋊C4—91no—
398C2×C42—31no—
399C2×C42—91no—
400C23×C3—24no—
401C23×C3—24no—
402C23×C3—24no—
403C23×C3—24no—
404C23×C3—24no—
405C23×C3—24no—
406C23×C3—24no—
407C23×C3—21no—
408C23×C3—32no—
409C23×C3—44no—
410C23×C3—44no—
411C23×C3—44no—
412C23×C3—62no—
413C23×C3—62no—
414C23×C3—62no—
415C23×C3C23×D314yes—
416C23×C3C23×D314yes—
417C23×C3C23×D311yescharacteristic
418C23×C3C23×D311yescharacteristic
419C22×D3—22no—
420C22×D3—22no—
421C22×D3—22no—
422C22×D3—34no—
423C22×D3—34no—
424C22×D3—64no—
425C22×D3—64no—
426C22×D3—64no—
427C22×D3—64no—
428C22×D3—64no—
429C22×D3—64no—
430C22×D3—64no—
431C22×D3—124no—
432C22×D3—124no—
433C22×D3—124no—
434C22×D3C23×D312yes—
435C3×D4—28no—
436C3×D4—28no—
437C3×D4—48no—
438C3×D4—128no—
439C2×C3×C4—22no—
440C2×C3×C4—24no—
441C2×C3×C4—34no—
442C2×C3×C4—34no—
443C2×C3×C4—32no—
444C2×C3×C4—32no—
445C2×C3×C4—32no—
446C2×C3×C4—62no—
447C2×C3×C4—62no—
448C2×C3×C4—64no—
449C2×C3×C4—64no—
450C2×C3×C4—62no—
451C2×C3×C4—68no—
452C2×C3×C4—128no—
453C2×C3×C4#23514yes—
454C2×C3×C4#23714yes—
455C2×C3×C4C23×D312yes—
456C2×C3×C4C23×D312yes—
457#67—48no—
458#67—128no—
459#67—128no—
460#67—128no—
461#67—128no—
462#67—128no—
463#67—1216no—
464#67—1216no—
465C2×Dic3—22no—
466C2×Dic3—24no—
467C2×Dic3—22no—
468C2×Dic3—24no—
469C2×Dic3—22no—
470C2×Dic3—32no—
471C2×Dic3—32no—
472C2×Dic3—32no—
473C2×Dic3—32no—
474C2×Dic3—48no—
475C2×Dic3—62no—
476C2×Dic3—62no—
477C2×Dic3—64no—
478C2×Dic3—64no—
479C2×Dic3—62no—
480C2×Dic3—62no—
481C2×Dic3—62no—
482C2×Dic3—62no—
483C2×Dic3C23×D312yes—
484C2×Dic3C23×D312yes—
485C2×Dic3C23×D312yes—
486C2×Dic3C23×D314yes—
487C2×Dic3C23×D314yes—
488D12—68no—
489D12—68no—
490D12—128no—
491D12—128no—
492C4×D3—28no—
493C4×D3—128no—
494C4×D3—128no—
495C2×C32—44no—
496C2×C32#54014yescomplemented
497C2×C32C22×#4111yescharacteristic
498C2×C32C2×H(5,𝔽2)11yescharacteristic
499C2×C32C2×H(5,𝔽2)11yescharacteristic
500C3⋊D3—44no—
501C3×D3—42no—
502C24—31no—
503C24—92no—
504C24C2×D3212yes—
505C2×D4—24no—
506C2×D4—38no—
507C2×D4—98no—
508C2×D4—98no—
509C2×D4—98no—
510C2×D4—94no—
511C2×D4—124no—
512C2×D4—184no—
513C2×D4—364no—
514C2×D4—364no—
515C2×D4—364no—
516C2×D4C2×D3214yes—
517C22×C4—31no—
518C22×C4—31no—
519C22×C4—31no—
520C22×C4—32no—
521C22×C4—32no—
522C22×C4—38no—
523C22×C4—34no—
524C22×C4—64no—
525C22×C4—98no—
526C22×C4—91no—
527C22×C4—91no—
528C22×C4—124no—
529C22×C4—364no—
530C22×C4C2×D3211yescharacteristic
531C4⋊C4—34no—
532C4⋊C4—34no—
533C4⋊C4—94no—
534C4⋊C4—94no—
535C4⋊C4—98no—
536C4⋊C4—98no—
537C22⋊C4—38no—
538C22⋊C4—38no—
539C22⋊C4—98no—
540C22⋊C4—98no—
541C22⋊C4—94no—
542C22⋊C4—94no—
543C42—34no—
544C42—94no—
545C22×C3—24no—
546C22×C3—24no—
547C22×C3—24no—
548C22×C3—24no—
549C22×C3—24no—
550C22×C3—24no—
551C22×C3—22no—
552C22×C3—22no—
553C22×C3—22no—
554C22×C3—21no—
555C22×C3—44no—
556C22×C3—44no—
557C22×C3—44no—
558C22×C3—48no—
559C22×C3—48no—
560C22×C3—62no—
561C22×C3—62no—
562C22×C3—62no—
563C22×C3—88no—
564C22×C3—124no—
565C22×C3C2×#23512yes—
566C22×C3C2×#23712yes—
567C22×C3#100412yes—
568C22×C3#100412yes—
569C22×C3#100912yes—
570C22×C3#100912yes—
571C22×C3C24×D311yescharacteristic
572C22×C3C24×D311yescharacteristic
573C2×D3—22no—
574C2×D3—22no—
575C2×D3—22no—
576C2×D3—44no—
577C2×D3—64no—
578C2×D3—64no—
579C2×D3—64no—
580C2×D3—64no—
581C2×D3—64no—
582C2×D3—64no—
583C2×D3—124no—
584C2×D3—124no—
585C2×D3—124no—
586C2×D3—128no—
587C2×D3—128no—
588C2×D3—248no—
589C3×C4—24no—
590C3×C4—62no—
591C3×C4—62no—
592C3×C4—64no—
593C3×C4—64no—
594C3×C4—62no—
595C3×C4C2×#23514yes—
596C3×C4C2×#23714yes—
597Dic3—22no—
598Dic3—24no—
599Dic3—22no—
600Dic3—24no—
601Dic3—22no—
602Dic3—64no—
603Dic3—64no—
604Dic3—62no—
605Dic3—62no—
606Dic3—62no—
607Dic3—62no—
608C32C2×#54011yescharacteristic, complemented, Sylow
609C23—24no—
610C23—24no—
611C23—24no—
612C23—32no—
613C23—62no—
614C23—62no—
615C23—62no—
616C23—94no—
617C23—184no—
618C23—184no—
619C23—184no—
620C23C22×D3214yes—
621C23C22×D3211yescharacteristic
622D4—28no—
623D4—128no—
624D4—188no—
625D4—368no—
626D4—368no—
627D4—368no—
628C2×C4—32no—
629C2×C4—32no—
630C2×C4—32no—
631C2×C4—34no—
632C2×C4—34no—
633C2×C4—62no—
634C2×C4—64no—
635C2×C4—62no—
636C2×C4—64no—
637C2×C4—62no—
638C2×C4—68no—
639C2×C4—92no—
640C2×C4—92no—
641C2×C4—128no—
642C2×C4—182no—
643C2×C4—182no—
644C2×C4—368no—
645C2×C4#380414yes—
646C2×C4C22×D3212yes—
647C2×C3—24no—
648C2×C3—21no—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—44no—
652C2×C3—44no—
653C2×C3—84no—
654C2×C3—122no—
655C2×C3#556214yescomplemented
656C2×C3#561914yescomplemented
657C2×C3C22×#23511yescharacteristic
658C2×C3C22×#23711yescharacteristic
659C2×C3C2×#100411yescharacteristic
660C2×C3C2×#100411yescharacteristic
661C2×C3C2×#100911yescharacteristic
662C2×C3C2×#100911yescharacteristic
663D3—42no—
664D3—124no—
665D3—124no—
666D3—244no—
667C22—24no—
668C22—24no—
669C22—24no—
670C22—48no—
671C22—62no—
672C22—62no—
673C22—62no—
674C22—124no—
675C22—184no—
676C22—184no—
677C22—184no—
678C22—368no—
679C22#6431412yes—
680C22#6431412yes—
681C22C2×#380412yes—
682C22C23×D3211yescharacteristic
683C4—62no—
684C4—64no—
685C4—62no—
686C4—64no—
687C4—62no—
688C4—182no—
689C4—182no—
690C4C2×#380414yes—
691C3—21no—
692C3C2×#556211yescharacteristic, complemented
693C3C2×#561911yescharacteristic, complemented
694C2—44no—
695C2—122no—
696C2—364no—
697C2#1059512514yesdirect product factor
698C2C2×#6431411yescharacteristic
699C2C2×#6431411yescharacteristic
700C2C22×#380411yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC22×C32×D4C22
socleC23×C32C24
hypercenterC22×D4D32
hypocenterC32C2×#540
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C2×#64149C2semidirect
2. C2×C3×#938C2semidirect
3. C2×C3×D4×Dic3C2semidirect
4. C2×#63978C2semidirect
5. C2×#63975C2semidirect
6. C2×#63966C2semidirect
7. C2×#63958C2semidirect
8. #10595125C2direct (N × H)
9. C2×#63909C2semidirect
10. C2×#63894C2semidirect
11. C2×#63872C2semidirect
12. C2×#63855C2semidirect
24. #64149C22semidirect
28. C3×#938C22semidirect
29. C3×D4×Dic3C22semidirect
33. #63978C22semidirect
34. #63975C22semidirect
35. #63966C22semidirect
44. #63958C22semidirect
45. #63909C22semidirect
46. #63894C22semidirect
47. #63872C22semidirect
48. #63855C22semidirect
56. C2×#938D3semidirect
57. C2×D4×Dic3D3semidirect
156. #938C2×D3semidirect
157. D4×Dic3C2×D3semidirect
496. C2×C32#540semidirect
608. C32C2×#540semidirect
655. C2×C3#5562semidirect
656. C2×C3#5619semidirect
692. C3C2×#5562semidirect
693. C3C2×#5619semidirect
697. C2#10595125direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#641492
C2×C3×#9382
C2×C3×D4×Dic32
C2×#639782
C2×#639752
C2×#639662
C2×#639582
#105951252
C2×#639092
C2×#638942
C2×#638722
C2×#638552
C2×#56193
C2×#55623