Finite Group Databasebeta

← C2×#10594594 #11901514

Subgroups — C2×#10594594 #11901514

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×#64104C211yesmaximal, characteristic, complemented
2C2×C3×#893C211yesmaximal, characteristic, complemented
3C2×C3×#890C211yesmaximal, characteristic, complemented
4C2×#63916C211yesmaximal, characteristic, complemented
5C2×#63911C211yesmaximal, characteristic, complemented
6C2×#63910C212yesmaximal, complemented
7C2×#63909C212yesmaximal, complemented
8C2×#63894C211yesmaximal, characteristic, complemented
9C2×#63874C211yesmaximal, characteristic, complemented
10C2×#63854C212yesmaximal, complemented
11C2×#63850C212yesmaximal, complemented
12#10594594C2116yesmaximal, direct product factor
13C2×#5697—31nomaximal
14C2×#5562—31nomaximal
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C22×C4⋊(C3⋊D3)C2212yes—
17C22×C4×C3⋊D3C2211yescharacteristic
18C22×C3×D12C2211yescharacteristic
19C22×C3×C4×D3C2212yes—
20C22×#626C2212yes—
21C22×#626C2212yes—
22C22×#626C2212yes—
23C22×#624C2212yes—
24C2×C32×C4⋊C4C2211yescharacteristic
25C2×#3752C2212yes—
26#64104C2218yescomplemented
27C2×C3×(C2×D3)⋊C4C2212yes—
28C2×C3×C4⋊Dic3C2212yes—
29C2×C3×C4⋊Dic3C2211yescharacteristic
30C2×C3×Dic3⋊C4C2212yes—
31C2×C3×C4×Dic3C2211yescharacteristic
32C2×C3×C4×Dic3C2211yescharacteristic
33C3×#893C2218yescomplemented
34C3×#890C2218yescomplemented
35C2×#3724C2211yescharacteristic
36C2×#3724C2211yescharacteristic
37C2×#3722C2212yes—
38C2×#3722C2211yescharacteristic
39C2×#3722C2211yescharacteristic
40C2×(C2×D3)⋊Dic3C2212yes—
41#63916C2218yescomplemented
42#63911C2218yescomplemented
43#63910C22116yescomplemented
44#63909C22116yescomplemented
45#63894C2218yescomplemented
46#63874C2218yescomplemented
47#63854C22116yescomplemented
48#63850C22116yescomplemented
49C2×C3×#125—31no—
50C2×C3×C4×D4—31no—
51C2×#940—31no—
52C2×#938—31no—
53C2×#930—32no—
54C2×#929—32no—
55#5697—316no—
56#5562—316no—
57C2×#895—31no—
58C2×#895—32no—
59C2×#895—31no—
60C2×#895—31no—
61C2×#895—32no—
62C2×#895—61no—
63C2×#894—32no—
64C2×#894—32no—
65C2×#893—31no—
66C2×#893D311yescharacteristic, complemented
67C2×#890D311yescharacteristic, complemented
68C2×#884—32no—
69C2×#883—32no—
70C2×#874—31no—
71C2×C4×D12—31no—
72C2×#872—31no—
73C2×#872—31no—
74C23×C3⋊D3C2312yes—
75C23×C3⋊D3C2311yescharacteristic
76C23×C3×D3C2312yes—
77C22×C32×C4C2312yes—
78C22×C32×C4C2311yescharacteristic
79C22×C3⋊Dic3C2311yescharacteristic
80C2×C4⋊(C3⋊D3)—24no—
81C2×C4⋊(C3⋊D3)—44no—
82C2×C4⋊(C3⋊D3)C2314yes—
83C2×C4⋊(C3⋊D3)C2318yes—
84C2×C4×C3⋊D3—24no—
85C2×C4×C3⋊D3C2314yes—
86C22×C3×Dic3C2311yescharacteristic
87C22×C3×Dic3C2311yescharacteristic
88C22×C3×Dic3C2311yescharacteristic
89C22×C3×Dic3C2311yescharacteristic
90C22×C3×Dic3C2312yes—
91C2×C3×D12—24no—
92C2×C3×D12C2314yes—
93C2×C3×C4×D3—44no—
94C2×C3×C4×D3C2318yes—
95C2×#626—44no—
96C2×#626—44no—
97C2×#626—44no—
98C2×#626C2318yes—
99C2×#626C2318yes—
100C2×#626C2318yes—
101C2×#624—44no—
102C2×#624C2318yes—
103C32×C4⋊C4C2314yes—
104#3752C2318yes—
105C3×(C2×D3)⋊C4C2318yes—
106C3×C4⋊Dic3C2318yes—
107C3×C4⋊Dic3C2314yes—
108C3×Dic3⋊C4C2318yes—
109C3×C4×Dic3C2314yes—
110C3×C4×Dic3C2314yes—
111#3724C2314yes—
112#3724C2314yes—
113#3722C2318yes—
114#3722C2314yes—
115#3722C2314yes—
116(C2×D3)⋊Dic3C2318yes—
117C2×#540—91noSylow
118C22×C3×D4—31no—
119C23×C3×C4—32no—
120C22×#67—32no—
121C22×#67—32no—
122C22×#67—32no—
123C22×D12—31no—
124C22×D12—31no—
125C22×D12—32no—
126C22×D12—32no—
127C22×D12—32no—
128C22×D12—32no—
129C22×D12—32no—
130C22×D12—61no—
131C22×D12—62no—
132C22×D12C2×D311yescharacteristic
133C22×C4×D3—31no—
134C22×C4×D3—31no—
135C22×C4×D3—32no—
136C22×C4×D3—32no—
137C22×C4×D3—61no—
138C22×C4×D3C2×D312yes—
139C3×#125—38no—
140C3×C4×D4—38no—
141C2×C3×C4⋊C4—21no—
142C2×C3×C4⋊C4—32no—
143C2×C3×C4⋊C4—31no—
144C2×C3×C4⋊C4—32no—
145C2×C3×C4⋊C4C2×D311yescharacteristic
146C2×C3×C4⋊C4C2×D311yescharacteristic
147C2×C3×C22⋊C4—32no—
148C2×C3×C42—31no—
149C2×C3×C42—31no—
150C2×#217—32no—
151#940—38no—
152#938—38no—
153#930—316no—
154#929—316no—
155C2×(C2×D3)⋊C4—32no—
156C2×(C2×D3)⋊C4—32no—
157C2×(C2×D3)⋊C4—32no—
158C2×(C2×D3)⋊C4—31no—
159C2×(C2×D3)⋊C4—31no—
160C2×(C2×D3)⋊C4—31no—
161C2×(C2×D3)⋊C4—31no—
162C2×(C2×D3)⋊C4—32no—
163C2×(C2×D3)⋊C4—32no—
164C2×(C2×D3)⋊C4—62no—
165C2×(C2×D3)⋊C4C2×D312yes—
166C2×C4⋊Dic3C2×D311yescharacteristic
167C2×C4⋊Dic3C2×D312yes—
168C2×Dic3⋊C4—31no—
169C2×Dic3⋊C4—31no—
170C2×Dic3⋊C4—31no—
171C2×Dic3⋊C4—31no—
172C2×Dic3⋊C4C2×D312yes—
173C2×C4×Dic3C2×D311yescharacteristic
174C2×C4×Dic3C2×D311yescharacteristic
175#895—38no—
176#895—316no—
177#895—38no—
178#895—38no—
179#895—316no—
180#895—68no—
181#894—316no—
182#894—316no—
183#893—38no—
184#893C2×D318yescomplemented
185#890C2×D318yescomplemented
186#884—316no—
187#883—316no—
188#874—38no—
189C4×D12—38no—
190#872—38no—
191#872—38no—
192C23×C32C2411yescharacteristic
193C22×C3⋊D3—22no—
194C22×C3⋊D3—22no—
195C22×C3⋊D3—24no—
196C22×C3⋊D3—24no—
197C22×C3⋊D3—22no—
198C22×C3⋊D3—24no—
199C22×C3⋊D3C2412yes—
200C22×C3⋊D3C2414yes—
201C22×C3×D3—24no—
202C22×C3×D3—24no—
203C22×C3×D3—24no—
204C22×C3×D3C2414yes—
205C2×C32×C4—24no—
206C2×C32×C4#4114yes—
207C2×C32×C4C2414yes—
208C2×C32×C4C2412yes—
209C2×C3⋊Dic3—22no—
210C2×C3⋊Dic3C2412yes—
211C4⋊(C3⋊D3)—28no—
212C4⋊(C3⋊D3)—48no—
213C4×C3⋊D3—28no—
214C2×C3×Dic3—22no—
215C2×C3×Dic3—24no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—22no—
218C2×C3×Dic3—22no—
219C2×C3×Dic3C2414yes—
220C2×C3×Dic3C2412yes—
221C2×C3×Dic3C2412yes—
222C2×C3×Dic3C2412yes—
223C2×C3×Dic3C2412yes—
224C3×D12—28no—
225C3×C4×D3—48no—
226#626—48no—
227#626—48no—
228#626—48no—
229#624—48no—
230#540—916no—
231C2×#127—91no—
232C2×#125—31no—
233C2×#123—92no—
234C2×#123—92no—
235C2×#121—92no—
236C2×#121—92no—
237C2×#121—91no—
238C2×#121—91no—
239C2×C4×D4—31no—
240C2×C4×D4—91no—
241C2×#117—91no—
242C24×C3—32no—
243C23×D3—31no—
244C23×D3—32no—
245C23×D3—31no—
246C23×D3—32no—
247C23×D3—61no—
248C23×D3—62no—
249C23×D3C22×D312yes—
250C2×C3×D4—34no—
251C2×C3×D4—64no—
252C22×C3×C4—21no—
253C22×C3×C4—22no—
254C22×C3×C4—31no—
255C22×C3×C4—31no—
256C22×C3×C4—31no—
257C22×C3×C4—31no—
258C22×C3×C4—32no—
259C22×C3×C4—38no—
260C22×C3×C4—124no—
261C22×C3×C4C22×D312yes—
262C22×C3×C4C22×D312yes—
263C22×C3×C4C22×D311yescharacteristic
264C22×C3×C4C22×D311yescharacteristic
265C2×#67—38no—
266C2×#67—38no—
267C2×#67—38no—
268C2×#67—124no—
269C2×#67—124no—
270C2×#67—124no—
271C22×Dic3—31no—
272C22×Dic3—31no—
273C22×Dic3—61no—
274C22×Dic3C22×D311yescharacteristic
275C22×Dic3C22×D311yescharacteristic
276C22×Dic3C22×D311yescharacteristic
277C22×Dic3C22×D311yescharacteristic
278C22×Dic3C22×D312yes—
279C2×D12—24no—
280C2×D12—34no—
281C2×D12—34no—
282C2×D12—38no—
283C2×D12—38no—
284C2×D12—38no—
285C2×D12—38no—
286C2×D12—38no—
287C2×D12—64no—
288C2×D12—68no—
289C2×D12—64no—
290C2×D12—64no—
291C2×D12—124no—
292C2×D12—124no—
293C2×D12—124no—
294C2×D12—128no—
295C2×D12—124no—
296C2×D12—124no—
297C2×D12—124no—
298C2×D12C22×D314yes—
299C2×C4×D3—34no—
300C2×C4×D3—34no—
301C2×C4×D3—38no—
302C2×C4×D3—38no—
303C2×C4×D3—44no—
304C2×C4×D3—64no—
305C2×C4×D3—64no—
306C2×C4×D3—64no—
307C2×C4×D3—124no—
308C2×C4×D3—124no—
309C2×C4×D3—124no—
310C2×C4×D3C22×D318yes—
311C3×C4⋊C4—24no—
312C3×C4⋊C4—34no—
313C3×C4⋊C4—38no—
314C3×C4⋊C4—38no—
315C3×C4⋊C4C22×D314yes—
316C3×C4⋊C4C22×D314yes—
317C3×C22⋊C4—38no—
318C3×C42—34no—
319C3×C42—34no—
320#217—38no—
321(C2×D3)⋊C4—38no—
322(C2×D3)⋊C4—38no—
323(C2×D3)⋊C4—38no—
324(C2×D3)⋊C4—34no—
325(C2×D3)⋊C4—34no—
326(C2×D3)⋊C4—34no—
327(C2×D3)⋊C4—34no—
328(C2×D3)⋊C4—38no—
329(C2×D3)⋊C4—38no—
330(C2×D3)⋊C4—68no—
331(C2×D3)⋊C4C22×D318yes—
332C4⋊Dic3C22×D314yes—
333C4⋊Dic3C22×D318yes—
334Dic3⋊C4—34no—
335Dic3⋊C4—34no—
336Dic3⋊C4—34no—
337Dic3⋊C4—34no—
338Dic3⋊C4C22×D318yes—
339C4×Dic3C22×D314yes—
340C4×Dic3C22×D314yes—
341C22×C32C2×#4112yes—
342C22×C32H(5,𝔽2)12yes—
343C22×C32H(5,𝔽2)12yes—
344C22×C32C2511yescharacteristic
345C2×C3⋊D3—22no—
346C2×C3⋊D3—22no—
347C2×C3⋊D3—24no—
348C2×C3⋊D3—24no—
349C2×C3⋊D3—22no—
350C2×C3⋊D3—24no—
351C2×C3⋊D3—44no—
352C2×C3⋊D3—48no—
353C2×C3×D3—24no—
354C2×C3×D3—24no—
355C2×C3×D3—24no—
356C2×C3×D3—48no—
357C32×C4—24no—
358C32×C4C2×#4114yes—
359C3⋊Dic3—22no—
360C3×Dic3—22no—
361C3×Dic3—24no—
362C3×Dic3—22no—
363C3×Dic3—22no—
364C3×Dic3—22no—
365C22×D4—31no—
366C22×D4—92no—
367C22×D4—92no—
368C22×D4—92no—
369C22×D4—91no—
370C22×D4—92no—
371C23×C4—32no—
372C23×C4—92no—
373C23×C4—91no—
374#127—98no—
375#125—38no—
376#123—916no—
377#123—916no—
378#121—916no—
379#121—916no—
380#121—98no—
381#121—98no—
382C4×D4—38no—
383C4×D4—98no—
384#117—98no—
385C2×C4⋊C4—31no—
386C2×C4⋊C4—32no—
387C2×C4⋊C4—32no—
388C2×C4⋊C4—91no—
389C2×C4⋊C4—91no—
390C2×C4⋊C4D3211yescharacteristic
391C2×C22⋊C4—32no—
392C2×C22⋊C4—91no—
393C2×C22⋊C4—91no—
394C2×C22⋊C4—92no—
395C2×C22⋊C4—92no—
396C2×C22⋊C4—92no—
397C2×C42—31no—
398C2×C42—31no—
399C23×C3—21no—
400C23×C3—34no—
401C23×C3—64no—
402C23×C3—64no—
403C23×C3—64no—
404C23×C3C23×D311yescharacteristic
405C23×C3C23×D311yescharacteristic
406C22×D3—24no—
407C22×D3—24no—
408C22×D3—24no—
409C22×D3—32no—
410C22×D3—34no—
411C22×D3—32no—
412C22×D3—34no—
413C22×D3—62no—
414C22×D3—64no—
415C22×D3—64no—
416C22×D3—62no—
417C22×D3—64no—
418C22×D3—62no—
419C22×D3—64no—
420C22×D3—62no—
421C22×D3—64no—
422C22×D3—64no—
423C22×D3—64no—
424C22×D3—62no—
425C22×D3—62no—
426C22×D3—64no—
427C22×D3—62no—
428C22×D3—122no—
429C22×D3—122no—
430C22×D3—124no—
431C22×D3—124no—
432C22×D3—124no—
433C22×D3C23×D314yes—
434C3×D4—68no—
435C2×C3×C4—24no—
436C2×C3×C4—24no—
437C2×C3×C4—22no—
438C2×C3×C4—24no—
439C2×C3×C4—24no—
440C2×C3×C4—32no—
441C2×C3×C4—32no—
442C2×C3×C4—32no—
443C2×C3×C4—32no—
444C2×C3×C4—34no—
445C2×C3×C4—44no—
446C2×C3×C4—62no—
447C2×C3×C4—62no—
448C2×C3×C4—64no—
449C2×C3×C4—62no—
450C2×C3×C4—62no—
451C2×C3×C4—128no—
452C2×C3×C4#23514yes—
453C2×C3×C4#23914yes—
454C2×C3×C4C23×D314yes—
455C2×C3×C4C23×D314yes—
456C2×C3×C4C23×D312yes—
457C2×C3×C4C23×D312yes—
458#67—128no—
459#67—128no—
460#67—128no—
461C2×Dic3—22no—
462C2×Dic3—22no—
463C2×Dic3—24no—
464C2×Dic3—22no—
465C2×Dic3—22no—
466C2×Dic3—32no—
467C2×Dic3—32no—
468C2×Dic3—62no—
469C2×Dic3—62no—
470C2×Dic3—62no—
471C2×Dic3—122no—
472C2×Dic3C23×D312yes—
473C2×Dic3C23×D312yes—
474C2×Dic3C23×D312yes—
475C2×Dic3C23×D312yes—
476C2×Dic3C23×D314yes—
477D12—28no—
478D12—68no—
479D12—68no—
480D12—128no—
481D12—128no—
482D12—128no—
483D12—1216no—
484D12—128no—
485D12—128no—
486D12—128no—
487C4×D3—48no—
488C4×D3—68no—
489C4×D3—68no—
490C4×D3—128no—
491C4×D3—128no—
492C4×D3—128no—
493C2×C32#54014yescomplemented
494C2×C32C22×#4111yescharacteristic
495C2×C32C2×H(5,𝔽2)11yescharacteristic
496C2×C32C2×H(5,𝔽2)11yescharacteristic
497C3⋊D3—42no—
498C3⋊D3—44no—
499C3×D3—44no—
500C24—32no—
501C24—91no—
502C24—92no—
503C2×D4—34no—
504C2×D4—64no—
505C2×D4—98no—
506C2×D4—98no—
507C2×D4—98no—
508C2×D4—94no—
509C2×D4—98no—
510C2×D4—184no—
511C2×D4—364no—
512C2×D4—364no—
513C2×D4—364no—
514C2×D4—364no—
515C22×C4—31no—
516C22×C4—31no—
517C22×C4—31no—
518C22×C4—31no—
519C22×C4—32no—
520C22×C4—38no—
521C22×C4—98no—
522C22×C4—91no—
523C22×C4—94no—
524C22×C4—124no—
525C22×C4—184no—
526C22×C4—364no—
527C22×C4C2×D3212yes—
528C22×C4C2×D3211yescharacteristic
529C4⋊C4—34no—
530C4⋊C4—38no—
531C4⋊C4—38no—
532C4⋊C4—94no—
533C4⋊C4—94no—
534C4⋊C4C2×D3214yes—
535C22⋊C4—38no—
536C22⋊C4—94no—
537C22⋊C4—94no—
538C22⋊C4—98no—
539C22⋊C4—98no—
540C22⋊C4—98no—
541C42—34no—
542C42—34no—
543C22×C3—22no—
544C22×C3—22no—
545C22×C3—22no—
546C22×C3—21no—
547C22×C3—64no—
548C22×C3—64no—
549C22×C3—64no—
550C22×C3—128no—
551C22×C3C2×#23512yes—
552C22×C3#100412yes—
553C22×C3C2×#23912yes—
554C22×C3#100912yes—
555C22×C3#100912yes—
556C22×C3#100912yes—
557C22×C3C24×D311yescharacteristic
558C22×C3C24×D311yescharacteristic
559C2×D3—24no—
560C2×D3—24no—
561C2×D3—24no—
562C2×D3—48no—
563C2×D3—64no—
564C2×D3—62no—
565C2×D3—64no—
566C2×D3—62no—
567C2×D3—64no—
568C2×D3—62no—
569C2×D3—64no—
570C2×D3—64no—
571C2×D3—64no—
572C2×D3—62no—
573C2×D3—62no—
574C2×D3—64no—
575C2×D3—62no—
576C2×D3—122no—
577C2×D3—122no—
578C2×D3—124no—
579C2×D3—124no—
580C2×D3—124no—
581C2×D3—128no—
582C2×D3—124no—
583C2×D3—128no—
584C2×D3—124no—
585C2×D3—128no—
586C2×D3—248no—
587C3×C4—24no—
588C3×C4—24no—
589C3×C4—24no—
590C3×C4—44no—
591C3×C4—62no—
592C3×C4—62no—
593C3×C4—64no—
594C3×C4—62no—
595C3×C4—62no—
596C3×C4C2×#23514yes—
597C3×C4C2×#23914yes—
598Dic3—22no—
599Dic3—22no—
600Dic3—24no—
601Dic3—22no—
602Dic3—22no—
603Dic3—62no—
604Dic3—62no—
605Dic3—122no—
606C32C2×#54011yescharacteristic, complemented, Sylow
607C23—34no—
608C23—64no—
609C23—64no—
610C23—64no—
611C23—92no—
612C23—94no—
613C23—182no—
614C23—184no—
615C23—182no—
616C23—184no—
617C23—184no—
618C23—182no—
619C23C22×D3211yescharacteristic
620D4—68no—
621D4—188no—
622D4—368no—
623D4—368no—
624D4—368no—
625D4—368no—
626C2×C4—24no—
627C2×C4—32no—
628C2×C4—32no—
629C2×C4—32no—
630C2×C4—32no—
631C2×C4—34no—
632C2×C4—62no—
633C2×C4—62no—
634C2×C4—62no—
635C2×C4—64no—
636C2×C4—62no—
637C2×C4—92no—
638C2×C4—128no—
639C2×C4—182no—
640C2×C4—188no—
641C2×C4—368no—
642C2×C4#379914yes—
643C2×C4C22×D3214yes—
644C2×C4C22×D3212yes—
645C2×C3—24no—
646C2×C3—21no—
647C2×C3—21no—
648C2×C3—21no—
649C2×C3—124no—
650C2×C3#556214yescomplemented
651C2×C3#569714yescomplemented
652C2×C3C22×#23511yescharacteristic
653C2×C3C2×#100411yescharacteristic
654C2×C3C22×#23911yescharacteristic
655C2×C3C2×#100911yescharacteristic
656C2×C3C2×#100911yescharacteristic
657C2×C3C2×#100911yescharacteristic
658D3—44no—
659D3—124no—
660D3—122no—
661D3—124no—
662D3—122no—
663D3—124no—
664D3—244no—
665C22—64no—
666C22—64no—
667C22—64no—
668C22—128no—
669C22—182no—
670C22—184no—
671C22—182no—
672C22—184no—
673C22—184no—
674C22—182no—
675C22—364no—
676C22—368no—
677C22C2×#379912yes—
678C22#6431412yes—
679C22#6432012yes—
680C22C23×D3211yescharacteristic
681C4—24no—
682C4—62no—
683C4—62no—
684C4—62no—
685C4—64no—
686C4—62no—
687C4—182no—
688C4C2×#379914yes—
689C3—21no—
690C3C2×#556211yescharacteristic, complemented
691C3C2×#569711yescharacteristic, complemented
692C2—124no—
693C2—362no—
694C2—364no—
695C2#1059459414yesdirect product factor
696C2C22×#379911yescharacteristic
697C2C2×#6431411yescharacteristic
698C2C2×#6432011yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C4⋊C4C22
socleC23×C32C24
hypercenterC2×C4⋊C4D32
hypocenterC32C2×#540
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#64104C2semidirect
2. C2×C3×#893C2semidirect
3. C2×C3×#890C2semidirect
4. C2×#63916C2semidirect
5. C2×#63911C2semidirect
6. C2×#63910C2semidirect
7. C2×#63909C2semidirect
8. C2×#63894C2semidirect
9. C2×#63874C2semidirect
10. C2×#63854C2semidirect
11. C2×#63850C2semidirect
12. #10594594C2direct (N × H)
26. #64104C22semidirect
33. C3×#893C22semidirect
34. C3×#890C22semidirect
41. #63916C22semidirect
42. #63911C22semidirect
43. #63910C22semidirect
44. #63909C22semidirect
45. #63894C22semidirect
46. #63874C22semidirect
47. #63854C22semidirect
48. #63850C22semidirect
66. C2×#893D3semidirect
67. C2×#890D3semidirect
184. #893C2×D3semidirect
185. #890C2×D3semidirect
493. C2×C32#540semidirect
606. C32C2×#540semidirect
650. C2×C3#5562semidirect
651. C2×C3#5697semidirect
690. C3C2×#5562semidirect
691. C3C2×#5697semidirect
695. C2#10594594direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#641042
C2×C3×#8932
C2×C3×#8902
C2×#639162
C2×#639112
C2×#639102
C2×#639092
C2×#638942
C2×#638742
C2×#638542
C2×#638502
#105945942
C2×#56973
C2×#55623