Finite Group Databasebeta

← C2×#75079 #10965601

Subgroups — C2×#75079 #10965601

Order 768.

2182 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×C3×#387C211yesmaximal, characteristic, complemented
2C2×#4989C211yesmaximal, characteristic
3C2×#4985C211yesmaximal, characteristic, complemented
4C2×#4976C211yesmaximal, characteristic, complemented
5C2×#4990C211yesmaximal, characteristic
6C2×#4940C211yesmaximal, characteristic
7C2×C4×Dic3⋊C4C211yesmaximal, characteristic, complemented
8#75079C2116yesmaximal, direct product factor
9C2×#4675C211yesmaximal, characteristic
10C2×#4676C211yesmaximal, characteristic
11C2×#4664C211yesmaximal, characteristic
12C2×#4658C211yesmaximal, characteristic, complemented
13C2×#4652C211yesmaximal, characteristic, complemented
14C2×#4652C211yesmaximal, characteristic, complemented
15C2×#4651C211yesmaximal, characteristic, complemented
16C2×#4666C211yesmaximal, characteristic
17C2×#2573—31nomaximal, Sylow
18C23×C4×D3C2211yescharacteristic
19C22×C3×C4⋊C4C2211yescharacteristic
20C22×C3×C4⋊C4C2211yescharacteristic
21C22×C3×C42C2211yescharacteristic
22C22×(C2×D3)⋊C4C2211yescharacteristic
23C22×(C2×D3)⋊C4C2211yescharacteristic
24C22×(C2×D3)⋊C4C2211yescharacteristic
25C22×(C2×D3)⋊C4C2211yescharacteristic
26C22×(C2×D3)⋊C4C2211yescharacteristic
27C22×(C2×D3)⋊C4C2211yescharacteristic
28C22×Dic3⋊C4C2211yescharacteristic
29C22×Dic3⋊C4C2211yescharacteristic
30C22×Dic3⋊C4C2211yescharacteristic
31C22×Dic3⋊C4C2211yescharacteristic
32C22×Dic3⋊C4C2211yescharacteristic
33C22×Dic3⋊C4C2211yescharacteristic
34C22×C4×Dic3C2211yescharacteristic
35C22×C4×Dic3C2211yescharacteristic
36C22×C4×Dic3C2211yescharacteristic
37C3×#387C2218yescomplemented
38C2×C3×#95C2211yescharacteristic
39C2×C3×#95C2211yescharacteristic
40C2×C3×#95C2211yescharacteristic
41C2×C3×#95C2211yescharacteristic
42C2×C3⋊#95C2211yescharacteristic
43C2×C3⋊#95C2211yescharacteristic
44C2×C3⋊#95C2211yescharacteristic
45C2×C3⋊#95C2211yescharacteristic
46C2×C3⋊#95C2211yescharacteristic
47C2×C3⋊#95C2211yescharacteristic
48C2×C3⋊#95C2211yescharacteristic
49C2×C3⋊#95C2211yescharacteristic
50C2×C3⋊#95C2211yescharacteristic
51C2×C3⋊#95C2211yescharacteristic
52C2×C3⋊#95C2211yescharacteristic
53C2×C3⋊#95C2211yescharacteristic
54#4990C2218yes—
55#4989C2218yes—
56#4985C2218yescomplemented
57#4976C2218yescomplemented
58#4940C2218yes—
59C4×Dic3⋊C4C2218yescomplemented
60#4676C2218yes—
61#4675C2218yes—
62#4666C2218yes—
63#4664C2218yes—
64#4658C2218yescomplemented
65#4652C2218yescomplemented
66#4652C2218yescomplemented
67#4651C2218yescomplemented
68#2573—316no—
69C2×#400—31no—
70C2×#400—31no—
71C2×#397—31no—
72C2×#396—31no—
73C2×#389—31no—
74C2×#388—31no—
75C2×#388—31no—
76C2×#387—31no—
77C2×#387—31no—
78C2×#387D311yescharacteristic, complemented
79C2×#385—31no—
80C2×#383—31no—
81C2×#381—31no—
82C2×C4×C4⋊C4—31no—
83C2×C4×C22⋊C4—31no—
84C24×D3C2311yescharacteristic
85C23×C3×C4C2311yescharacteristic
86C23×C3×C4C2311yescharacteristic
87C23×C3×C4C2311yescharacteristic
88C23×C3×C4C2311yescharacteristic
89C23×C3×C4C2311yescharacteristic
90C23×C3×C4C2311yescharacteristic
91C23×C3×C4C2311yescharacteristic
92C23×Dic3C2311yescharacteristic
93C23×Dic3C2311yescharacteristic
94C23×Dic3C2311yescharacteristic
95C23×Dic3C2311yescharacteristic
96C23×Dic3C2311yescharacteristic
97C23×Dic3C2311yescharacteristic
98C23×Dic3C2311yescharacteristic
99C22×C4×D3—24no—
100C22×C4×D3—24no—
101C22×C4×D3—42no—
102C22×C4×D3C2314yes—
103C2×C3×C4⋊C4—24no—
104C2×C3×C4⋊C4—42no—
105C2×C3×C4⋊C4C2314yes—
106C2×C3×C4⋊C4C2314yes—
107C2×C3×C42—42no—
108C2×C3×C42C2314yes—
109C2×(C2×D3)⋊C4—24no—
110C2×(C2×D3)⋊C4—24no—
111C2×(C2×D3)⋊C4—24no—
112C2×(C2×D3)⋊C4—24no—
113C2×(C2×D3)⋊C4—24no—
114C2×(C2×D3)⋊C4—42no—
115C2×(C2×D3)⋊C4C2314yes—
116C2×(C2×D3)⋊C4C2314yes—
117C2×(C2×D3)⋊C4C2314yes—
118C2×(C2×D3)⋊C4C2314yes—
119C2×(C2×D3)⋊C4C2314yes—
120C2×(C2×D3)⋊C4C2314yes—
121C2×Dic3⋊C4—24no—
122C2×Dic3⋊C4—24no—
123C2×Dic3⋊C4—24no—
124C2×Dic3⋊C4—24no—
125C2×Dic3⋊C4—24no—
126C2×Dic3⋊C4—42no—
127C2×Dic3⋊C4C2314yes—
128C2×Dic3⋊C4C2314yes—
129C2×Dic3⋊C4C2314yes—
130C2×Dic3⋊C4C2314yes—
131C2×Dic3⋊C4C2314yes—
132C2×Dic3⋊C4C2314yes—
133C2×C4×Dic3—24no—
134C2×C4×Dic3—24no—
135C2×C4×Dic3—42no—
136C2×C4×Dic3C2314yes—
137C2×C4×Dic3C2314yes—
138C2×C4×Dic3C2314yes—
139C3×#95C2314yes—
140C3×#95C2314yes—
141C3×#95C2314yes—
142C3×#95C2314yes—
143C3⋊#95C2314yes—
144C3⋊#95C2314yes—
145C3⋊#95C2314yes—
146C3⋊#95C2314yes—
147C3⋊#95C2314yes—
148C3⋊#95C2314yes—
149C3⋊#95C2314yes—
150C3⋊#95C2314yes—
151C3⋊#95C2314yes—
152C3⋊#95C2314yes—
153C3⋊#95C2314yes—
154C3⋊#95C2314yes—
155C24×C4—31no—
156C22×C4⋊C4—31no—
157C22×C4⋊C4—31no—
158C22×C4⋊C4—31no—
159C22×C4⋊C4—31no—
160C22×C4⋊C4—31no—
161C22×C4⋊C4—31no—
162C22×C4⋊C4C2×D311yescharacteristic
163C22×C4⋊C4C2×D311yescharacteristic
164C22×C22⋊C4—31no—
165C22×C22⋊C4—31no—
166C22×C22⋊C4—31no—
167C22×C22⋊C4—31no—
168C22×C22⋊C4—31no—
169C22×C22⋊C4—31no—
170C22×C42—31no—
171C22×C42—31no—
172C22×C42—31no—
173C22×C42C2×D311yescharacteristic
174#400—38no—
175#400—38no—
176#397—38no—
177#396—38no—
178#389—38no—
179#388—38no—
180#388—38no—
181#387—38no—
182#387—38no—
183#387C2×D318yescomplemented
184#385—38no—
185#383—38no—
186#381—38no—
187C4×C4⋊C4—38no—
188C4×C22⋊C4—38no—
189C2×#95—31no—
190C2×#95—31no—
191C2×#95—31no—
192C2×#95—31no—
193C2×#95—31no—
194C2×#95—31no—
195C2×#95—31no—
196C2×#95—31no—
197C2×#95—31no—
198C2×#95—31no—
199C2×#95—31no—
200C2×#95—31no—
201C2×#95C2×D311yescharacteristic
202C2×#95C2×D311yescharacteristic
203C2×#95C2×D311yescharacteristic
204C2×#95C2×D311yescharacteristic
205C24×C3C2411yescharacteristic
206C23×D3—22no—
207C23×D3—22no—
208C23×D3—22no—
209C23×D3—22no—
210C23×D3—22no—
211C23×D3—22no—
212C23×D3#4114yes—
213C23×D3C2412yes—
214C22×C3×C4—22no—
215C22×C3×C4—22no—
216C22×C3×C4—22no—
217C22×C3×C4—22no—
218C22×C3×C4—22no—
219C22×C3×C4—22no—
220C22×C3×C4—22no—
221C22×C3×C4—22no—
222C22×C3×C4—22no—
223C22×C3×C4—22no—
224C22×C3×C4—22no—
225C22×C3×C4—22no—
226C22×C3×C4—22no—
227C22×C3×C4—22no—
228C22×C3×C4—22no—
229C22×C3×C4—22no—
230C22×C3×C4—22no—
231C22×C3×C4—22no—
232C22×C3×C4—22no—
233C22×C3×C4—22no—
234C22×C3×C4#4114yes—
235C22×C3×C4C2412yes—
236C22×C3×C4C2412yes—
237C22×C3×C4C2412yes—
238C22×C3×C4C2412yes—
239C22×C3×C4C2412yes—
240C22×C3×C4C2412yes—
241C22×C3×C4C2412yes—
242C22×Dic3—22no—
243C22×Dic3—22no—
244C22×Dic3—22no—
245C22×Dic3—22no—
246C22×Dic3—22no—
247C22×Dic3—22no—
248C22×Dic3—22no—
249C22×Dic3—22no—
250C22×Dic3—22no—
251C22×Dic3—22no—
252C22×Dic3—22no—
253C22×Dic3—22no—
254C22×Dic3—22no—
255C22×Dic3—22no—
256C22×Dic3—22no—
257C22×Dic3—22no—
258C22×Dic3—22no—
259C22×Dic3—22no—
260C22×Dic3#4114yes—
261C22×Dic3#4114yes—
262C22×Dic3#4114yes—
263C22×Dic3C2412yes—
264C22×Dic3C2412yes—
265C22×Dic3C2412yes—
266C22×Dic3C2412yes—
267C22×Dic3C2412yes—
268C22×Dic3C2412yes—
269C22×Dic3C2412yes—
270C2×C4×D3—28no—
271C2×C4×D3—28no—
272C2×C4×D3—44no—
273C2×C4×D3—416no—
274C3×C4⋊C4—28no—
275C3×C4⋊C4—44no—
276C3×C42—44no—
277(C2×D3)⋊C4—28no—
278(C2×D3)⋊C4—28no—
279(C2×D3)⋊C4—28no—
280(C2×D3)⋊C4—28no—
281(C2×D3)⋊C4—28no—
282(C2×D3)⋊C4—44no—
283Dic3⋊C4—28no—
284Dic3⋊C4—28no—
285Dic3⋊C4—28no—
286Dic3⋊C4—28no—
287Dic3⋊C4—28no—
288Dic3⋊C4—44no—
289C4×Dic3—28no—
290C4×Dic3—28no—
291C4×Dic3—44no—
292C25—31no—
293C23×C4—31no—
294C23×C4—31no—
295C23×C4—31no—
296C23×C4—31no—
297C23×C4—31no—
298C23×C4—31no—
299C23×C4—31no—
300C23×C4—34no—
301C23×C4—64no—
302C23×C4—64no—
303C23×C4—122no—
304C23×C4C22×D311yescharacteristic
305C23×C4C22×D311yescharacteristic
306C23×C4C22×D311yescharacteristic
307C23×C4C22×D311yescharacteristic
308C23×C4C22×D311yescharacteristic
309C23×C4C22×D311yescharacteristic
310C23×C4C22×D311yescharacteristic
311C2×C4⋊C4—24no—
312C2×C4⋊C4—34no—
313C2×C4⋊C4—34no—
314C2×C4⋊C4—34no—
315C2×C4⋊C4—34no—
316C2×C4⋊C4—34no—
317C2×C4⋊C4—34no—
318C2×C4⋊C4—42no—
319C2×C4⋊C4—64no—
320C2×C4⋊C4—64no—
321C2×C4⋊C4—64no—
322C2×C4⋊C4—64no—
323C2×C4⋊C4—64no—
324C2×C4⋊C4—122no—
325C2×C4⋊C4C22×D314yes—
326C2×C4⋊C4C22×D314yes—
327C2×C22⋊C4—34no—
328C2×C22⋊C4—34no—
329C2×C22⋊C4—34no—
330C2×C22⋊C4—34no—
331C2×C22⋊C4—34no—
332C2×C22⋊C4—34no—
333C2×C22⋊C4—64no—
334C2×C22⋊C4—64no—
335C2×C22⋊C4—64no—
336C2×C22⋊C4—64no—
337C2×C22⋊C4—64no—
338C2×C22⋊C4—122no—
339C2×C42—34no—
340C2×C42—34no—
341C2×C42—34no—
342C2×C42—42no—
343C2×C42—64no—
344C2×C42—64no—
345C2×C42—122no—
346C2×C42C22×D314yes—
347#95—34no—
348#95—34no—
349#95—34no—
350#95—34no—
351#95—34no—
352#95—34no—
353#95—34no—
354#95—34no—
355#95—34no—
356#95—34no—
357#95—34no—
358#95—34no—
359#95C22×D314yes—
360#95C22×D314yes—
361#95C22×D314yes—
362#95C22×D314yes—
363C23×C3C2×#4112yes—
364C23×C3C2×#4112yes—
365C23×C3C2×#4112yes—
366C23×C3C2×#4112yes—
367C23×C3C2×#4112yes—
368C23×C3H(5,𝔽2)12yes—
369C23×C32−1+412yes—
370C23×C3C2511yescharacteristic
371C22×D3—28no—
372C22×D3—28no—
373C22×D3—28no—
374C22×D3—22no—
375C22×D3—22no—
376C22×D3—22no—
377C22×D3—22no—
378C22×D3—22no—
379C22×D3—22no—
380C22×D3—44no—
381C22×D3—44no—
382C22×D3—44no—
383C22×D3—44no—
384C22×D3C2×#4114yes—
385C2×C3×C4—28no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—22no—
390C2×C3×C4—22no—
391C2×C3×C4—22no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—22no—
395C2×C3×C4—22no—
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—22no—
399C2×C3×C4—22no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—44no—
407C2×C3×C4—44no—
408C2×C3×C4—44no—
409C2×C3×C4—44no—
410C2×C3×C4—44no—
411C2×C3×C4—44no—
412C2×C3×C4C2×#4114yes—
413C2×Dic3—28no—
414C2×Dic3—28no—
415C2×Dic3—28no—
416C2×Dic3—22no—
417C2×Dic3—22no—
418C2×Dic3—22no—
419C2×Dic3—22no—
420C2×Dic3—22no—
421C2×Dic3—22no—
422C2×Dic3—22no—
423C2×Dic3—22no—
424C2×Dic3—22no—
425C2×Dic3—22no—
426C2×Dic3—22no—
427C2×Dic3—22no—
428C2×Dic3—22no—
429C2×Dic3—22no—
430C2×Dic3—22no—
431C2×Dic3—22no—
432C2×Dic3—22no—
433C2×Dic3—22no—
434C2×Dic3—44no—
435C2×Dic3—44no—
436C2×Dic3—44no—
437C2×Dic3—44no—
438C2×Dic3C2×#4114yes—
439C2×Dic3C2×#4114yes—
440C2×Dic3C2×#4114yes—
441C4×D3—416no—
442C24—34no—
443C24—32no—
444C24—62no—
445C24—62no—
446C24—62no—
447C24—62no—
448C24—62no—
449C24—62no—
450C24C23×D311yescharacteristic
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—34no—
472C22×C4—34no—
473C22×C4—34no—
474C22×C4—32no—
475C22×C4—32no—
476C22×C4—32no—
477C22×C4—32no—
478C22×C4—32no—
479C22×C4—32no—
480C22×C4—32no—
481C22×C4—68no—
482C22×C4—68no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—62no—
489C22×C4—62no—
490C22×C4—62no—
491C22×C4—62no—
492C22×C4—62no—
493C22×C4—62no—
494C22×C4—62no—
495C22×C4—62no—
496C22×C4—62no—
497C22×C4—62no—
498C22×C4—62no—
499C22×C4—62no—
500C22×C4—62no—
501C22×C4—124no—
502C22×C4—1216no—
503C22×C4#23514yes—
504C22×C4C23×D312yes—
505C22×C4C23×D312yes—
506C22×C4C23×D312yes—
507C22×C4C23×D312yes—
508C22×C4C23×D312yes—
509C22×C4C23×D312yes—
510C22×C4C23×D312yes—
511C4⋊C4—28no—
512C4⋊C4—44no—
513C4⋊C4—68no—
514C4⋊C4—68no—
515C4⋊C4—68no—
516C4⋊C4—68no—
517C4⋊C4—68no—
518C4⋊C4—124no—
519C22⋊C4—68no—
520C22⋊C4—68no—
521C22⋊C4—68no—
522C22⋊C4—68no—
523C22⋊C4—68no—
524C22⋊C4—124no—
525C42—44no—
526C42—68no—
527C42—68no—
528C42—124no—
529C22×C3#52914yes—
530C22×C3#52914yes—
531C22×C3#53914yes—
532C22×C3#55114yes—
533C22×C3#55214yes—
534C22×C3#55314yes—
535C22×C3#55614yes—
536C22×C3C22×#4111yescharacteristic
537C22×C3C22×#4111yescharacteristic
538C22×C3C22×#4111yescharacteristic
539C22×C3C22×#4111yescharacteristic
540C22×C3C22×#4111yescharacteristic
541C22×C3C2×H(5,𝔽2)11yescharacteristic
542C22×C3C2×2−1+411yescharacteristic
543C2×D3—24no—
544C2×D3—24no—
545C2×D3—24no—
546C2×D3—416no—
547C2×D3—42no—
548C2×D3—42no—
549C2×D3—42no—
550C2×D3—42no—
551C3×C4—24no—
552C3×C4—42no—
553C3×C4—42no—
554C3×C4—42no—
555C3×C4—42no—
556C3×C4—42no—
557C3×C4—42no—
558Dic3—24no—
559Dic3—24no—
560Dic3—24no—
561Dic3—42no—
562Dic3—42no—
563Dic3—42no—
564Dic3—42no—
565C23—34no—
566C23—68no—
567C23—68no—
568C23—62no—
569C23—62no—
570C23—62no—
571C23—62no—
572C23—62no—
573C23—62no—
574C23—68no—
575C23—124no—
576C23—124no—
577C23—124no—
578C23—124no—
579C23C2×#23512yes—
580C23#100412yes—
581C23#100712yes—
582C23D3×#4112yes—
583C23D3×#4112yes—
584C23D3×#4112yes—
585C23D3×#4112yes—
586C23C24×D311yescharacteristic
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—28no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—34no—
609C2×C4—34no—
610C2×C4—34no—
611C2×C4—44no—
612C2×C4—44no—
613C2×C4—44no—
614C2×C4—44no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—68no—
618C2×C4—68no—
619C2×C4—62no—
620C2×C4—62no—
621C2×C4—62no—
622C2×C4—62no—
623C2×C4—62no—
624C2×C4—62no—
625C2×C4—68no—
626C2×C4—62no—
627C2×C4—62no—
628C2×C4—62no—
629C2×C4—62no—
630C2×C4—62no—
631C2×C4—62no—
632C2×C4—62no—
633C2×C4—62no—
634C2×C4—62no—
635C2×C4—62no—
636C2×C4—62no—
637C2×C4—62no—
638C2×C4—1216no—
639C2×C4—124no—
640C2×C4—124no—
641C2×C4—124no—
642C2×C4—124no—
643C2×C4C2×#23514yes—
644C2×C3#257318yescomplemented
645C2×C3C2×#52911yescharacteristic
646C2×C3C2×#52911yescharacteristic
647C2×C3C2×#53911yescharacteristic
648C2×C3C2×#55111yescharacteristic
649C2×C3C2×#55211yescharacteristic
650C2×C3C2×#55311yescharacteristic
651C2×C3C2×#55611yescharacteristic
652D3—44no—
653C22—64no—
654C22—64no—
655C22—64no—
656C22—122no—
657C22—1216no—
658C22—122no—
659C22—122no—
660C22—122no—
661C22#552814yes—
662C22#554014yes—
663C22#556814yes—
664C22#563814yes—
665C22#565914yes—
666C22#569314yes—
667C22#570614yes—
668C22C22×#23511yescharacteristic
669C22C2×#100411yescharacteristic
670C22C2×#100711yescharacteristic
671C22C2×D3×#4111yescharacteristic
672C22C2×D3×#4111yescharacteristic
673C22C2×D3×#4111yescharacteristic
674C22C2×D3×#4111yescharacteristic
675C4—24no—
676C4—42no—
677C4—42no—
678C4—42no—
679C4—42no—
680C4—42no—
681C4—42no—
682C4—64no—
683C4—64no—
684C4—64no—
685C4—122no—
686C4—122no—
687C4—122no—
688C4—122no—
689C3C2×#257311yescharacteristic, complemented, Sylow
690C2—124no—
691C2#7507918yesdirect product factor
692C2C2×#552811yescharacteristic
693C2C2×#554011yescharacteristic
694C2C2×#556811yescharacteristic
695C2C2×#563811yescharacteristic
696C2C2×#565911yescharacteristic
697C2C2×#569311yescharacteristic
698C2C2×#570611yescharacteristic
subgroupG/H
centerC24C23×D3
commutator, cosocleC23×C3C25
FrattiniC23C24×D3
FittingC2×C3×#387C2
socleC24×C3C24
prime radicalC24×D3C23
hypercenterC2×#387D3
hypocenterC3C2×#2573
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
1. C2×C3×#387C2semidirect
3. C2×#4985C2semidirect
4. C2×#4976C2semidirect
7. C2×C4×Dic3⋊C4C2semidirect
8. #75079C2direct (N × H)
12. C2×#4658C2semidirect
13. C2×#4652C2semidirect
14. C2×#4652C2semidirect
15. C2×#4651C2semidirect
37. C3×#387C22semidirect
56. #4985C22semidirect
57. #4976C22semidirect
59. C4×Dic3⋊C4C22semidirect
64. #4658C22semidirect
65. #4652C22semidirect
66. #4652C22semidirect
67. #4651C22semidirect
78. C2×#387D3semidirect
183. #387C2×D3semidirect
644. C2×C3#2573semidirect
689. C3C2×#2573semidirect
691. C2#75079direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#3872
C2×#49892
C2×#49852
C2×#49762
C2×#49902
C2×#49402
C2×C4×Dic3⋊C42
#750792
C2×#46752
C2×#46762
C2×#46642
C2×#46582
C2×#46522
C2×#46512
C2×#46662
C2×#25733