Finite Group Databasebeta

← C2×#10596134 #11901469

Subgroups — C2×#10596134 #11901469

Order 1152.

3780 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#123C211yesmaximal, characteristic, complemented
2C2×#64149C211yesmaximal, characteristic, complemented
3C2×#64148C211yesmaximal, characteristic, complemented
4C2×#64139C211yesmaximal, characteristic, complemented
5C2×C4×#638C211yesmaximal, characteristic, complemented
6#10596134C2116yesmaximal, direct product factor
7C2×#64104C211yesmaximal, characteristic, complemented
8C2×#64103C211yesmaximal, characteristic, complemented
9C2×#64101C211yesmaximal, characteristic, complemented
10C2×#64098C211yesmaximal, characteristic, complemented
11C2×#64095C211yesmaximal, characteristic, complemented
12C2×#64093C211yesmaximal, characteristic, complemented
13C2×#64093C211yesmaximal, characteristic, complemented
14C2×#64093C211yesmaximal, characteristic, complemented
15C2×#64092C211yesmaximal, characteristic, complemented
16C2×#64090C211yesmaximal, characteristic, complemented
17C2×#5663—34nomaximal
18C22×C32×D4C2211yescharacteristic
19C23×C32×C4C2211yescharacteristic
20C22×#638C2211yescharacteristic
21C22×#638C2211yescharacteristic
22C22×#638C2211yescharacteristic
23C22×#638C2211yescharacteristic
24C22×#638C2211yescharacteristic
25C22×#638C2211yescharacteristic
26C23×C3⋊Dic3C2211yescharacteristic
27C22×C4⋊(C3⋊D3)C2211yescharacteristic
28C22×C4⋊(C3⋊D3)C2211yescharacteristic
29C22×C4⋊(C3⋊D3)C2211yescharacteristic
30C22×C4×C3⋊D3C2211yescharacteristic
31C22×C4×C3⋊D3C2211yescharacteristic
32C22×C4×C3⋊D3C2211yescharacteristic
33C32×#123C2218yescomplemented
34C2×C32×C4⋊C4C2211yescharacteristic
35C2×C32×C4⋊C4C2211yescharacteristic
36C2×C32×C22⋊C4C2211yescharacteristic
37C2×C32×C22⋊C4C2211yescharacteristic
38C2×C32×C22⋊C4C2211yescharacteristic
39C2×#3757C2211yescharacteristic
40#64149C2218yescomplemented
41#64148C2218yescomplemented
42#64139C2218yescomplemented
43C4×#638C2218yescomplemented
44C2×#3752C2211yescharacteristic
45C2×#3752C2211yescharacteristic
46C2×#3752C2211yescharacteristic
47C2×#3752C2211yescharacteristic
48C2×#3752C2211yescharacteristic
49C2×#3752C2211yescharacteristic
50C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
51C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
52C2×#3750C2211yescharacteristic
53C2×#3750C2211yescharacteristic
54C2×#3750C2211yescharacteristic
55C2×#3750C2211yescharacteristic
56C2×C4×C3⋊Dic3C2211yescharacteristic
57C2×C4×C3⋊Dic3C2211yescharacteristic
58#64104C2218yescomplemented
59#64103C2218yescomplemented
60#64101C2218yescomplemented
61#64098C2218yescomplemented
62#64095C2218yescomplemented
63#64093C2218yescomplemented
64#64093C2218yescomplemented
65#64093C2218yescomplemented
66#64092C2218yescomplemented
67#64090C2218yescomplemented
68C2×C3×#123D314yescomplemented
69C2×#940—34no—
70C2×#939—34no—
71C2×#930—34no—
72C2×C4×#67—34no—
73#5663—364no—
74C2×#895—34no—
75C2×#894—34no—
76C2×#892—34no—
77C2×#889—34no—
78C2×#886—34no—
79C2×#884—34no—
80C2×#884—34no—
81C2×#884—34no—
82C2×#883—34no—
83C2×#67⋊C4—34no—
84C24×C32C2311yescharacteristic
85C24×C32C2311yescharacteristic
86C23×C3⋊D3C2311yescharacteristic
87C23×C3⋊D3C2311yescharacteristic
88C23×C3⋊D3C2311yescharacteristic
89C2×C32×D4—42no—
90C2×C32×D4C2314yes—
91C22×C32×C4—42no—
92C22×C32×C4C2311yescharacteristic
93C22×C32×C4C2311yescharacteristic
94C22×C32×C4C2311yescharacteristic
95C22×C32×C4C2311yescharacteristic
96C22×C32×C4C2311yescharacteristic
97C22×C32×C4C2314yes—
98C2×#638—24no—
99C2×#638—24no—
100C2×#638—42no—
101C2×#638—42no—
102C2×#638—42no—
103C2×#638—42no—
104C2×#638C2314yes—
105C2×#638C2314yes—
106C2×#638C2314yes—
107C2×#638C2314yes—
108C2×#638C2314yes—
109C2×#638C2314yes—
110C22×C3⋊Dic3—42no—
111C22×C3⋊Dic3C2311yescharacteristic
112C22×C3⋊Dic3C2311yescharacteristic
113C22×C3⋊Dic3C2311yescharacteristic
114C22×C3⋊Dic3C2311yescharacteristic
115C22×C3⋊Dic3C2314yes—
116C22×C3⋊Dic3C2311yescharacteristic
117C2×C4⋊(C3⋊D3)—42no—
118C2×C4⋊(C3⋊D3)—42no—
119C2×C4⋊(C3⋊D3)—42no—
120C2×C4⋊(C3⋊D3)C2314yes—
121C2×C4⋊(C3⋊D3)C2314yes—
122C2×C4⋊(C3⋊D3)C2314yes—
123C2×C4×C3⋊D3—24no—
124C2×C4×C3⋊D3—42no—
125C2×C4×C3⋊D3—42no—
126C2×C4×C3⋊D3C2314yes—
127C2×C4×C3⋊D3C2314yes—
128C2×C4×C3⋊D3C2314yes—
129C32×C4⋊C4C2314yes—
130C32×C4⋊C4C2314yes—
131C32×C22⋊C4C2314yes—
132C32×C22⋊C4C2314yes—
133C32×C22⋊C4C2314yes—
134#3757C2314yes—
135#3752C2314yes—
136#3752C2314yes—
137#3752C2314yes—
138#3752C2314yes—
139#3752C2314yes—
140#3752C2314yes—
141C4⋊(C3⋊Dic3)C2314yes—
142C4⋊(C3⋊Dic3)C2314yes—
143#3750C2314yes—
144#3750C2314yes—
145#3750C2314yes—
146#3750C2314yes—
147C4×C3⋊Dic3C2314yes—
148C4×C3⋊Dic3C2314yes—
149C2×#540—91noSylow
150C22×C3×D4C2×D314yes—
151C23×C3×C4C2×D314yes—
152C22×#67—34no—
153C22×#67—34no—
154C22×#67—34no—
155C22×#67—34no—
156C22×#67—34no—
157C22×#67—34no—
158C23×Dic3—34no—
159C22×D12—34no—
160C22×D12—34no—
161C22×D12—34no—
162C22×C4×D3—34no—
163C22×C4×D3—34no—
164C22×C4×D3—34no—
165C3×#123C2×D3132yescomplemented
166C2×C3×C4⋊C4C2×D314yes—
167C2×C3×C4⋊C4C2×D314yes—
168C2×C3×C22⋊C4C2×D314yes—
169C2×C3×C22⋊C4C2×D314yes—
170C2×C3×C22⋊C4C2×D314yes—
171C2×#217—34no—
172#940—332no—
173#939—332no—
174#930—332no—
175C4×#67—332no—
176C2×(C2×D3)⋊C4—34no—
177C2×(C2×D3)⋊C4—34no—
178C2×(C2×D3)⋊C4—34no—
179C2×(C2×D3)⋊C4—34no—
180C2×(C2×D3)⋊C4—34no—
181C2×(C2×D3)⋊C4—34no—
182C2×C4⋊Dic3—34no—
183C2×C4⋊Dic3—34no—
184C2×Dic3⋊C4—34no—
185C2×Dic3⋊C4—34no—
186C2×Dic3⋊C4—34no—
187C2×Dic3⋊C4—34no—
188C2×C4×Dic3—34no—
189C2×C4×Dic3—34no—
190#895—332no—
191#894—332no—
192#892—332no—
193#889—332no—
194#886—332no—
195#884—332no—
196#884—332no—
197#884—332no—
198#883—332no—
199#67⋊C4—332no—
200C23×C32—22no—
201C23×C32—22no—
202C23×C32—22no—
203C23×C32—22no—
204C23×C32—22no—
205C23×C32—22no—
206C23×C32C2412yes—
207C23×C32C2412yes—
208C23×C32C2411yescharacteristic
209C22×C3⋊D3—22no—
210C22×C3⋊D3—22no—
211C22×C3⋊D3—22no—
212C22×C3⋊D3—22no—
213C22×C3⋊D3—22no—
214C22×C3⋊D3—22no—
215C22×C3⋊D3—22no—
216C22×C3⋊D3—22no—
217C22×C3⋊D3—22no—
218C22×C3⋊D3C2412yes—
219C22×C3⋊D3C2412yes—
220C22×C3⋊D3C2412yes—
221C32×D4—44no—
222C2×C32×C4—22no—
223C2×C32×C4—22no—
224C2×C32×C4—22no—
225C2×C32×C4—22no—
226C2×C32×C4—22no—
227C2×C32×C4—44no—
228C2×C32×C4C2412yes—
229C2×C32×C4C2412yes—
230C2×C32×C4C2412yes—
231C2×C32×C4C2412yes—
232C2×C32×C4C2412yes—
233#638—28no—
234#638—28no—
235#638—44no—
236#638—44no—
237#638—44no—
238#638—44no—
239C2×C3⋊Dic3—22no—
240C2×C3⋊Dic3—22no—
241C2×C3⋊Dic3—22no—
242C2×C3⋊Dic3—22no—
243C2×C3⋊Dic3—44no—
244C2×C3⋊Dic3#4114yes—
245C2×C3⋊Dic3C2412yes—
246C2×C3⋊Dic3C2412yes—
247C2×C3⋊Dic3C2412yes—
248C2×C3⋊Dic3C2412yes—
249C2×C3⋊Dic3C2412yes—
250C4⋊(C3⋊D3)—44no—
251C4⋊(C3⋊D3)—44no—
252C4⋊(C3⋊D3)—44no—
253C4×C3⋊D3—28no—
254C4×C3⋊D3—44no—
255C4×C3⋊D3—44no—
256#540—916no—
257C2×#127—91no—
258C2×#125—91no—
259C2×#123—91no—
260C2×#123—91no—
261C2×#123—91no—
262C2×#123C3⋊D311yescharacteristic, complemented
263C2×#121—91no—
264C2×#121—91no—
265C2×#121—91no—
266C2×#121—91no—
267C2×#121—91no—
268C2×#121—91no—
269C2×C4×D4—91no—
270C2×C4×D4—91no—
271C2×#117—91no—
272C24×C3C22×D314yes—
273C24×C3C22×D314yes—
274C23×D3—34no—
275C23×D3—34no—
276C23×D3—34no—
277C2×C3×D4—48no—
278C2×C3×D4C22×D3116yes—
279C22×C3×C4—48no—
280C22×C3×C4C22×D314yes—
281C22×C3×C4C22×D314yes—
282C22×C3×C4C22×D314yes—
283C22×C3×C4C22×D314yes—
284C22×C3×C4C22×D314yes—
285C22×C3×C4C22×D3116yes—
286C2×#67—316no—
287C2×#67—316no—
288C2×#67—316no—
289C2×#67—316no—
290C2×#67—316no—
291C2×#67—316no—
292C2×#67—616no—
293C2×#67—616no—
294C2×#67—128no—
295C2×#67—128no—
296C2×#67—128no—
297C2×#67—128no—
298C22×Dic3—34no—
299C22×Dic3—34no—
300C22×Dic3—34no—
301C22×Dic3—34no—
302C22×Dic3—34no—
303C22×Dic3—316no—
304C22×Dic3—128no—
305C2×D12—316no—
306C2×D12—316no—
307C2×D12—316no—
308C2×D12—128no—
309C2×D12—128no—
310C2×D12—128no—
311C2×C4×D3—316no—
312C2×C4×D3—316no—
313C2×C4×D3—316no—
314C2×C4×D3—616no—
315C2×C4×D3—128no—
316C2×C4×D3—128no—
317C3×C4⋊C4C22×D3116yes—
318C3×C4⋊C4C22×D3116yes—
319C3×C22⋊C4C22×D3116yes—
320C3×C22⋊C4C22×D3116yes—
321C3×C22⋊C4C22×D3116yes—
322#217—316no—
323(C2×D3)⋊C4—316no—
324(C2×D3)⋊C4—316no—
325(C2×D3)⋊C4—316no—
326(C2×D3)⋊C4—316no—
327(C2×D3)⋊C4—316no—
328(C2×D3)⋊C4—316no—
329C4⋊Dic3—316no—
330C4⋊Dic3—316no—
331Dic3⋊C4—316no—
332Dic3⋊C4—316no—
333Dic3⋊C4—316no—
334Dic3⋊C4—316no—
335C4×Dic3—316no—
336C4×Dic3—316no—
337C22×C32—22no—
338C22×C32—22no—
339C22×C32—22no—
340C22×C32—22no—
341C22×C32—22no—
342C22×C32—22no—
343C22×C32—44no—
344C22×C32—44no—
345C22×C32C2×#4112yes—
346C22×C32H(5,𝔽2)12yes—
347C22×C32H(5,𝔽2)12yes—
348C22×C32C2511yescharacteristic
349C2×C3⋊D3—22no—
350C2×C3⋊D3—22no—
351C2×C3⋊D3—22no—
352C2×C3⋊D3—22no—
353C2×C3⋊D3—22no—
354C2×C3⋊D3—22no—
355C2×C3⋊D3—22no—
356C2×C3⋊D3—22no—
357C2×C3⋊D3—22no—
358C2×C3⋊D3—44no—
359C2×C3⋊D3—44no—
360C2×C3⋊D3—44no—
361C32×C4—22no—
362C32×C4—22no—
363C32×C4—22no—
364C32×C4—22no—
365C32×C4—22no—
366C3⋊Dic3—22no—
367C3⋊Dic3—22no—
368C3⋊Dic3—22no—
369C3⋊Dic3—22no—
370C3⋊Dic3C2×#4114yes—
371C22×D4—91no—
372C22×D4—91no—
373C22×D4—91no—
374C22×D4—91no—
375C22×D4—91no—
376C22×D4—91no—
377C22×D4—91no—
378C22×D4—91no—
379C22×D4—91no—
380C22×D4C2×C3⋊D311yescharacteristic
381C23×C4—91no—
382C23×C4—91no—
383C23×C4—91no—
384C23×C4—91no—
385C23×C4C2×C3⋊D311yescharacteristic
386#127—98no—
387#125—98no—
388#123—98no—
389#123—98no—
390#123—98no—
391#123C2×C3⋊D318yescomplemented
392#121—98no—
393#121—98no—
394#121—98no—
395#121—98no—
396#121—98no—
397#121—98no—
398C4×D4—98no—
399C4×D4—98no—
400#117—98no—
401C2×C4⋊C4—91no—
402C2×C4⋊C4—91no—
403C2×C4⋊C4—91no—
404C2×C4⋊C4—91no—
405C2×C4⋊C4—91no—
406C2×C4⋊C4—91no—
407C2×C4⋊C4C2×C3⋊D311yescharacteristic
408C2×C4⋊C4C2×C3⋊D311yescharacteristic
409C2×C22⋊C4—91no—
410C2×C22⋊C4—91no—
411C2×C22⋊C4—91no—
412C2×C22⋊C4—91no—
413C2×C22⋊C4—91no—
414C2×C22⋊C4—91no—
415C2×C22⋊C4—91no—
416C2×C22⋊C4C2×C3⋊D311yescharacteristic
417C2×C22⋊C4C2×C3⋊D311yescharacteristic
418C2×C22⋊C4C2×C3⋊D311yescharacteristic
419C2×C42—91no—
420C2×C42—91no—
421C23×C3—28no—
422C23×C3—28no—
423C23×C3—28no—
424C23×C3—28no—
425C23×C3—28no—
426C23×C3—28no—
427C23×C3C23×D318yes—
428C23×C3C23×D318yes—
429C23×C3C23×D314yes—
430C22×D3—38no—
431C22×D3—38no—
432C22×D3—38no—
433C22×D3—68no—
434C22×D3—68no—
435C22×D3—68no—
436C22×D3—68no—
437C22×D3—68no—
438C22×D3—68no—
439C22×D3—68no—
440C22×D3—68no—
441C22×D3—68no—
442C3×D4—416no—
443C2×C3×C4—28no—
444C2×C3×C4—28no—
445C2×C3×C4—28no—
446C2×C3×C4—28no—
447C2×C3×C4—28no—
448C2×C3×C4—416no—
449C2×C3×C4C23×D318yes—
450C2×C3×C4C23×D318yes—
451C2×C3×C4C23×D318yes—
452C2×C3×C4C23×D318yes—
453C2×C3×C4C23×D318yes—
454#67—632no—
455#67—632no—
456#67—1216no—
457#67—1216no—
458#67—1216no—
459#67—1216no—
460C2×Dic3—316no—
461C2×Dic3—38no—
462C2×Dic3—38no—
463C2×Dic3—38no—
464C2×Dic3—38no—
465C2×Dic3—38no—
466C2×Dic3—68no—
467C2×Dic3—68no—
468C2×Dic3—68no—
469C2×Dic3—68no—
470C2×Dic3—1216no—
471D12—1216no—
472D12—1216no—
473D12—1216no—
474C4×D3—632no—
475C4×D3—1216no—
476C4×D3—1216no—
477C2×C32—42no—
478C2×C32—42no—
479C2×C32#54014yescomplemented
480C2×C32C22×#4111yescharacteristic
481C2×C32C2×H(5,𝔽2)11yescharacteristic
482C2×C32C2×H(5,𝔽2)11yescharacteristic
483C3⋊D3—42no—
484C3⋊D3—42no—
485C3⋊D3—42no—
486C24—91no—
487C24—91no—
488C24—91no—
489C24C22×C3⋊D311yescharacteristic
490C24C22×C3⋊D311yescharacteristic
491C2×D4—42no—
492C2×D4—94no—
493C2×D4—94no—
494C2×D4—94no—
495C2×D4—94no—
496C2×D4—94no—
497C2×D4—94no—
498C2×D4—94no—
499C2×D4—94no—
500C2×D4—94no—
501C2×D4—184no—
502C2×D4—184no—
503C2×D4—362no—
504C2×D4—362no—
505C2×D4—362no—
506C2×D4—362no—
507C2×D4—362no—
508C2×D4—362no—
509C2×D4—362no—
510C2×D4C22×C3⋊D314yes—
511C22×C4—42no—
512C22×C4—91no—
513C22×C4—91no—
514C22×C4—91no—
515C22×C4—91no—
516C22×C4—91no—
517C22×C4—94no—
518C22×C4—94no—
519C22×C4—94no—
520C22×C4—94no—
521C22×C4—184no—
522C22×C4—362no—
523C22×C4—362no—
524C22×C4—362no—
525C22×C4C22×C3⋊D311yescharacteristic
526C22×C4C22×C3⋊D311yescharacteristic
527C22×C4C22×C3⋊D311yescharacteristic
528C22×C4C22×C3⋊D311yescharacteristic
529C22×C4C22×C3⋊D311yescharacteristic
530C22×C4C22×C3⋊D314yes—
531C4⋊C4—94no—
532C4⋊C4—94no—
533C4⋊C4—94no—
534C4⋊C4—94no—
535C4⋊C4—94no—
536C4⋊C4—94no—
537C4⋊C4C22×C3⋊D314yes—
538C4⋊C4C22×C3⋊D314yes—
539C22⋊C4—94no—
540C22⋊C4—94no—
541C22⋊C4—94no—
542C22⋊C4—94no—
543C22⋊C4—94no—
544C22⋊C4—94no—
545C22⋊C4—94no—
546C22⋊C4C22×C3⋊D314yes—
547C22⋊C4C22×C3⋊D314yes—
548C22⋊C4C22×C3⋊D314yes—
549C42—94no—
550C42—94no—
551C22×C3—28no—
552C22×C3—28no—
553C22×C3—28no—
554C22×C3—28no—
555C22×C3—28no—
556C22×C3—28no—
557C22×C3—416no—
558C22×C3—416no—
559C22×C3#100418yes—
560C22×C3D3×#4118yes—
561C22×C3#100918yes—
562C22×C3C24×D314yes—
563C2×D3—68no—
564C2×D3—68no—
565C2×D3—68no—
566C2×D3—68no—
567C2×D3—68no—
568C2×D3—68no—
569C2×D3—68no—
570C2×D3—68no—
571C2×D3—68no—
572C2×D3—1216no—
573C2×D3—1216no—
574C2×D3—1216no—
575C3×C4—28no—
576C3×C4—28no—
577C3×C4—28no—
578C3×C4—28no—
579C3×C4—28no—
580Dic3—316no—
581Dic3—68no—
582Dic3—68no—
583Dic3—68no—
584Dic3—68no—
585C32C2×#54011yescharacteristic, complemented, Sylow
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—92no—
593C23—92no—
594C23—92no—
595C23—182no—
596C23—182no—
597C23—182no—
598C23—182no—
599C23—182no—
600C23—182no—
601C23—182no—
602C23—182no—
603C23—182no—
604C23C23×C3⋊D312yes—
605C23C23×C3⋊D312yes—
606C23C23×C3⋊D311yescharacteristic
607D4—44no—
608D4—188no—
609D4—188no—
610D4—364no—
611D4—364no—
612D4—364no—
613D4—364no—
614D4—364no—
615D4—364no—
616D4—364no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—44no—
623C2×C4—94no—
624C2×C4—92no—
625C2×C4—92no—
626C2×C4—92no—
627C2×C4—92no—
628C2×C4—92no—
629C2×C4—188no—
630C2×C4—182no—
631C2×C4—182no—
632C2×C4—182no—
633C2×C4—182no—
634C2×C4—364no—
635C2×C4—364no—
636C2×C4—364no—
637C2×C4C23×C3⋊D312yes—
638C2×C4C23×C3⋊D312yes—
639C2×C4C23×C3⋊D312yes—
640C2×C4C23×C3⋊D312yes—
641C2×C4C23×C3⋊D312yes—
642C2×C3—48no—
643C2×C3—48no—
644C2×C3#5663116yescomplemented
645C2×C3C2×#100414yes—
646C2×C3C2×D3×#4114yes—
647C2×C3C2×#100914yes—
648D3—128no—
649D3—128no—
650D3—128no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—22no—
656C22—22no—
657C22—44no—
658C22—44no—
659C22—182no—
660C22—182no—
661C22—182no—
662C22—182no—
663C22—182no—
664C22—182no—
665C22—182no—
666C22—182no—
667C22—182no—
668C22—364no—
669C22—364no—
670C22—364no—
671C22#6436112yes—
672C22#41×C3⋊D312yes—
673C22#6436612yes—
674C22C24×C3⋊D311yescharacteristic
675C4—22no—
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—94no—
681C4—182no—
682C4—182no—
683C4—182no—
684C4—182no—
685C3C2×#566314yescomplemented
686C2—42no—
687C2—42no—
688C2—362no—
689C2—362no—
690C2—362no—
691C2#1059613414yesdirect product factor
692C2C2×#6436111yescharacteristic
693C2C2×#41×C3⋊D311yescharacteristic
694C2C2×#6436611yescharacteristic
subgroupG/H
centerC23C23×C3⋊D3
commutator, cosocleC22×C32C25
FrattiniC22C24×C3⋊D3
FittingC2×C32×#123C2
socleC23×C32C24
hypercenterC2×#123C3⋊D3
hypocenterC32C2×#540
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×#123

Complements

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

NH ≅ G/Ntype
1. C2×C32×#123C2semidirect
2. C2×#64149C2semidirect
3. C2×#64148C2semidirect
4. C2×#64139C2semidirect
5. C2×C4×#638C2semidirect
6. #10596134C2direct (N × H)
7. C2×#64104C2semidirect
8. C2×#64103C2semidirect
9. C2×#64101C2semidirect
10. C2×#64098C2semidirect
11. C2×#64095C2semidirect
12. C2×#64093C2semidirect
13. C2×#64093C2semidirect
14. C2×#64093C2semidirect
15. C2×#64092C2semidirect
16. C2×#64090C2semidirect
33. C32×#123C22semidirect
40. #64149C22semidirect
41. #64148C22semidirect
42. #64139C22semidirect
43. C4×#638C22semidirect
58. #64104C22semidirect
59. #64103C22semidirect
60. #64101C22semidirect
61. #64098C22semidirect
62. #64095C22semidirect
63. #64093C22semidirect
64. #64093C22semidirect
65. #64093C22semidirect
66. #64092C22semidirect
67. #64090C22semidirect
68. C2×C3×#123D3semidirect
165. C3×#123C2×D3semidirect
262. C2×#123C3⋊D3semidirect
391. #123C2×C3⋊D3semidirect
479. C2×C32#540semidirect
585. C32C2×#540semidirect
644. C2×C3#5663semidirect
685. C3C2×#5663semidirect
691. C2#10596134direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C32×#1232
C2×#641492
C2×#641482
C2×#641392
C2×C4×#6382
#105961342
C2×#641042
C2×#641032
C2×#641012
C2×#640982
C2×#640952
C2×#640932
C2×#640922
C2×#640902
C2×#56633