Finite Group Databasebeta

← C2×#73422 #10964913

Subgroups — C2×#73422 #10964913

Order 768.

2246 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#376C211yesmaximal, characteristic, complemented
2C2×#4929C211yesmaximal, characteristic, complemented
3C2×#4940C211yesmaximal, characteristic
4C2×#4940C211yesmaximal, characteristic
5C2×#4933C211yesmaximal, characteristic, complemented
6C2×#4933C211yesmaximal, characteristic, complemented
7C2×C4×(C2×D3)⋊C4C211yesmaximal, characteristic
8#73422C2116yesmaximal, direct product factor
9C2×#4675C211yesmaximal, characteristic
10C2×#4673C211yesmaximal, characteristic
11C2×#4668C211yesmaximal, characteristic
12C2×#4664C211yesmaximal, characteristic
13C2×C3⋊#401C211yesmaximal, characteristic, complemented
14C2×#4660C211yesmaximal, characteristic, complemented
15C2×#4646C211yesmaximal, characteristic, complemented
16C2×#4652C211yesmaximal, characteristic, complemented
17C2×#2527—31nomaximal, Sylow
18C23×C4×D3C2211yescharacteristic
19C23×Dic6C2211yescharacteristic
20C22×C3×C42C2211yescharacteristic
21C22×C3×C42C2211yescharacteristic
22C22×C3×C42C2211yescharacteristic
23C22×(C2×D3)⋊C4C2211yescharacteristic
24C22×(C2×D3)⋊C4C2211yescharacteristic
25C22×(C2×D3)⋊C4C2211yescharacteristic
26C22×(C2×D3)⋊C4C2211yescharacteristic
27C22×(C2×D3)⋊C4C2211yescharacteristic
28C22×(C2×D3)⋊C4C2211yescharacteristic
29C22×C4⋊Dic3C2211yescharacteristic
30C22×Dic3⋊C4C2211yescharacteristic
31C22×Dic3⋊C4C2211yescharacteristic
32C22×Dic3⋊C4C2211yescharacteristic
33C22×Dic3⋊C4C2211yescharacteristic
34C22×C4×Dic3C2211yescharacteristic
35C3×#376C2218yescomplemented
36C2×C3×#95C2211yescharacteristic
37C2×C3×#95C2211yescharacteristic
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#4940C2218yes—
55#4940C2218yes—
56C4×(C2×D3)⋊C4C2218yes—
57#4933C2218yescomplemented
58#4933C2218yescomplemented
59#4929C2218yescomplemented
60#4675C2218yes—
61#4673C2218yes—
62#4668C2218yes—
63#4664C2218yes—
64C3⋊#401C2218yescomplemented
65#4660C2218yescomplemented
66#4652C2218yescomplemented
67#4646C2218yescomplemented
68#2527—316no—
69C2×#401—31no—
70C2×#400—31no—
71C2×#397—31no—
72C2×#393—31no—
73C2×#391—31no—
74C2×#391—31no—
75C2×#388—31no—
76C2×#388—31no—
77C2×#387—31no—
78C2×#387—31no—
79C2×#387—31no—
80C2×#385—31no—
81C2×#381—31no—
82C2×C4×C22⋊C4—31no—
83C2×#376D311yescharacteristic, complemented
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—
103C22×Dic6—24no—
104C22×Dic6—24no—
105C22×Dic6—42no—
106C22×Dic6C2314yes—
107C2×C3×C42—24no—
108C2×C3×C42—24no—
109C2×C3×C42—24no—
110C2×C3×C42C2314yes—
111C2×C3×C42C2314yes—
112C2×C3×C42C2314yes—
113C2×(C2×D3)⋊C4—24no—
114C2×(C2×D3)⋊C4—24no—
115C2×(C2×D3)⋊C4—24no—
116C2×(C2×D3)⋊C4—24no—
117C2×(C2×D3)⋊C4—24no—
118C2×(C2×D3)⋊C4—42no—
119C2×(C2×D3)⋊C4C2314yes—
120C2×(C2×D3)⋊C4C2314yes—
121C2×(C2×D3)⋊C4C2314yes—
122C2×(C2×D3)⋊C4C2314yes—
123C2×(C2×D3)⋊C4C2314yes—
124C2×(C2×D3)⋊C4C2314yes—
125C2×C4⋊Dic3—42no—
126C2×C4⋊Dic3C2314yes—
127C2×Dic3⋊C4—24no—
128C2×Dic3⋊C4—24no—
129C2×Dic3⋊C4—24no—
130C2×Dic3⋊C4—42no—
131C2×Dic3⋊C4C2314yes—
132C2×Dic3⋊C4C2314yes—
133C2×Dic3⋊C4C2314yes—
134C2×Dic3⋊C4C2314yes—
135C2×C4×Dic3—42no—
136C2×C4×Dic3C2314yes—
137C3×#95C2314yes—
138C3×#95C2314yes—
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—
155C23×Q8—31no—
156C24×C4—31no—
157C22×C4⋊C4—31no—
158C22×C4⋊C4—31no—
159C22×C4⋊C4—31no—
160C22×C4⋊C4—31no—
161C22×C4⋊C4—31no—
162C22×C22⋊C4—31no—
163C22×C22⋊C4—31no—
164C22×C22⋊C4—31no—
165C22×C22⋊C4—31no—
166C22×C22⋊C4—31no—
167C22×C22⋊C4—31no—
168C22×C42—31no—
169C22×C42C2×D311yescharacteristic
170C22×C42C2×D311yescharacteristic
171C22×C42C2×D311yescharacteristic
172#401—38no—
173#400—38no—
174#397—38no—
175#393—38no—
176#391—38no—
177#391—38no—
178#388—38no—
179#388—38no—
180#387—38no—
181#387—38no—
182#387—38no—
183#385—38no—
184#381—38no—
185C4×C22⋊C4—38no—
186#376C2×D318yescomplemented
187C2×#95—31no—
188C2×#95—31no—
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#4114yes—
233C22×C3×C4#4114yes—
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—22no—
261C22×Dic3—22no—
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—
274C2×Dic6—28no—
275C2×Dic6—28no—
276C2×Dic6—44no—
277C2×Dic6—416no—
278C3×C42—28no—
279C3×C42—28no—
280C3×C42—28no—
281(C2×D3)⋊C4—28no—
282(C2×D3)⋊C4—28no—
283(C2×D3)⋊C4—28no—
284(C2×D3)⋊C4—28no—
285(C2×D3)⋊C4—28no—
286(C2×D3)⋊C4—44no—
287C4⋊Dic3—44no—
288Dic3⋊C4—28no—
289Dic3⋊C4—28no—
290Dic3⋊C4—28no—
291Dic3⋊C4—44no—
292C4×Dic3—44no—
293C25—31no—
294C22×Q8—34no—
295C22×Q8—64no—
296C22×Q8—64no—
297C22×Q8—122no—
298C23×C4—31no—
299C23×C4—31no—
300C23×C4—31no—
301C23×C4—31no—
302C23×C4—31no—
303C23×C4—31no—
304C23×C4—31no—
305C23×C4—34no—
306C23×C4—64no—
307C23×C4—64no—
308C23×C4—122no—
309C23×C4C22×D311yescharacteristic
310C23×C4C22×D311yescharacteristic
311C23×C4C22×D311yescharacteristic
312C23×C4C22×D311yescharacteristic
313C23×C4C22×D311yescharacteristic
314C23×C4C22×D311yescharacteristic
315C23×C4C22×D311yescharacteristic
316C2×C4⋊C4—34no—
317C2×C4⋊C4—34no—
318C2×C4⋊C4—34no—
319C2×C4⋊C4—34no—
320C2×C4⋊C4—34no—
321C2×C4⋊C4—64no—
322C2×C4⋊C4—64no—
323C2×C4⋊C4—64no—
324C2×C4⋊C4—122no—
325C2×C4⋊C4—122no—
326C2×C22⋊C4—34no—
327C2×C22⋊C4—34no—
328C2×C22⋊C4—34no—
329C2×C22⋊C4—34no—
330C2×C22⋊C4—34no—
331C2×C22⋊C4—34no—
332C2×C22⋊C4—64no—
333C2×C22⋊C4—64no—
334C2×C22⋊C4—64no—
335C2×C22⋊C4—64no—
336C2×C22⋊C4—64no—
337C2×C22⋊C4—122no—
338C2×C42—24no—
339C2×C42—24no—
340C2×C42—24no—
341C2×C42—34no—
342C2×C42—122no—
343C2×C42C22×D314yes—
344C2×C42C22×D314yes—
345C2×C42C22×D314yes—
346#95—34no—
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#95—34no—
360#95C22×D314yes—
361#95C22×D314yes—
362#95C22×D314yes—
363#95C22×D314yes—
364C23×C3C2×#4112yes—
365C23×C3C2×#4112yes—
366C23×C3C2×#4112yes—
367C23×C3C2×#4112yes—
368C23×C3C2×#4112yes—
369C23×C3H(5,𝔽2)12yes—
370C23×C32−1+412yes—
371C23×C3C2511yescharacteristic
372C22×D3—28no—
373C22×D3—28no—
374C22×D3—28no—
375C22×D3—22no—
376C22×D3—22no—
377C22×D3—22no—
378C22×D3—22no—
379C22×D3—22no—
380C22×D3—22no—
381C22×D3—44no—
382C22×D3—44no—
383C22×D3—44no—
384C22×D3—44no—
385C22×D3C2×#4114yes—
386C2×C3×C4—28no—
387C2×C3×C4—28no—
388C2×C3×C4—28no—
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—22no—
407C2×C3×C4—44no—
408C2×C3×C4—44no—
409C2×C3×C4—44no—
410C2×C3×C4—44no—
411C2×C3×C4C2×#4114yes—
412C2×C3×C4C2×#4114yes—
413C2×C3×C4C2×#4114yes—
414C2×Dic3—28no—
415C2×Dic3—22no—
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—22no—
435C2×Dic3—44no—
436C2×Dic3—44no—
437C2×Dic3—44no—
438C2×Dic3—44no—
439C2×Dic3—44no—
440C2×Dic3—44no—
441C2×Dic3C2×#4114yes—
442C4×D3—416no—
443Dic6—416no—
444C24—34no—
445C24—32no—
446C24—62no—
447C24—62no—
448C24—62no—
449C24—62no—
450C24—62no—
451C24—62no—
452C24C23×D311yescharacteristic
453C2×Q8—68no—
454C2×Q8—68no—
455C2×Q8—124no—
456C2×Q8—1216no—
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—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—34no—
476C22×C4—32no—
477C22×C4—32no—
478C22×C4—32no—
479C22×C4—32no—
480C22×C4—32no—
481C22×C4—32no—
482C22×C4—32no—
483C22×C4—68no—
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—62no—
502C22×C4—62no—
503C22×C4—62no—
504C22×C4—68no—
505C22×C4—124no—
506C22×C4—1216no—
507C22×C4#23514yes—
508C22×C4#23514yes—
509C22×C4#23514yes—
510C22×C4C23×D312yes—
511C22×C4C23×D312yes—
512C22×C4C23×D312yes—
513C22×C4C23×D312yes—
514C22×C4C23×D312yes—
515C22×C4C23×D312yes—
516C22×C4C23×D312yes—
517C4⋊C4—68no—
518C4⋊C4—68no—
519C4⋊C4—68no—
520C4⋊C4—124no—
521C4⋊C4—124no—
522C22⋊C4—68no—
523C22⋊C4—68no—
524C22⋊C4—68no—
525C22⋊C4—68no—
526C22⋊C4—68no—
527C22⋊C4—124no—
528C42—28no—
529C42—28no—
530C42—28no—
531C42—124no—
532C22×C3#52914yes—
533C22×C3#52914yes—
534C22×C3#54214yes—
535C22×C3#55114yes—
536C22×C3#55114yes—
537C22×C3#55214yes—
538C22×C3#55614yes—
539C22×C3C22×#4111yescharacteristic
540C22×C3C22×#4111yescharacteristic
541C22×C3C22×#4111yescharacteristic
542C22×C3C22×#4111yescharacteristic
543C22×C3C22×#4111yescharacteristic
544C22×C3C2×H(5,𝔽2)11yescharacteristic
545C22×C3C2×2−1+411yescharacteristic
546C2×D3—24no—
547C2×D3—24no—
548C2×D3—24no—
549C2×D3—42no—
550C2×D3—42no—
551C2×D3—42no—
552C2×D3—42no—
553C2×D3—416no—
554C3×C4—24no—
555C3×C4—24no—
556C3×C4—24no—
557C3×C4—42no—
558C3×C4—42no—
559C3×C4—42no—
560C3×C4—42no—
561Dic3—24no—
562Dic3—42no—
563Dic3—42no—
564Dic3—42no—
565Dic3—42no—
566Dic3—42no—
567Dic3—42no—
568C23—34no—
569C23—62no—
570C23—62no—
571C23—62no—
572C23—62no—
573C23—62no—
574C23—62no—
575C23—68no—
576C23—68no—
577C23—68no—
578C23—124no—
579C23—124no—
580C23—124no—
581C23—124no—
582C23C2×#23512yes—
583C23C2×#23512yes—
584C23C2×#23512yes—
585C23D3×#4112yes—
586C23D3×#4112yes—
587C23#100912yes—
588C23#101012yes—
589C23C24×D311yescharacteristic
590Q8—1216no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—28no—
598C2×C4—28no—
599C2×C4—28no—
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—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—34no—
613C2×C4—44no—
614C2×C4—44no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—62no—
618C2×C4—62no—
619C2×C4—68no—
620C2×C4—62no—
621C2×C4—62no—
622C2×C4—62no—
623C2×C4—62no—
624C2×C4—62no—
625C2×C4—62no—
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×C4—124no—
644C2×C4—124no—
645C2×C4C2×#23514yes—
646C2×C4C2×#23514yes—
647C2×C4C2×#23514yes—
648C2×C3#252718yescomplemented
649C2×C3C2×#52911yescharacteristic
650C2×C3C2×#52911yescharacteristic
651C2×C3C2×#54211yescharacteristic
652C2×C3C2×#55111yescharacteristic
653C2×C3C2×#55111yescharacteristic
654C2×C3C2×#55211yescharacteristic
655C2×C3C2×#55611yescharacteristic
656D3—44no—
657C22—64no—
658C22—64no—
659C22—64no—
660C22—122no—
661C22—1216no—
662C22—122no—
663C22—122no—
664C22—122no—
665C22#547914yes—
666C22#552714yes—
667C22#552714yes—
668C22#552814yes—
669C22#552914yes—
670C22#553314yes—
671C22#553414yes—
672C22C22×#23511yescharacteristic
673C22C22×#23511yescharacteristic
674C22C22×#23511yescharacteristic
675C22C2×D3×#4111yescharacteristic
676C22C2×D3×#4111yescharacteristic
677C22C2×#100911yescharacteristic
678C22C2×#101011yescharacteristic
679C4—24no—
680C4—24no—
681C4—24no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—42no—
686C4—64no—
687C4—122no—
688C4—122no—
689C4—122no—
690C4—122no—
691C4—122no—
692C4—122no—
693C3C2×#252711yescharacteristic, complemented, Sylow
694C2—124no—
695C2#7342218yesdirect product factor
696C2C2×#547911yescharacteristic
697C2C2×#552811yescharacteristic
698C2C2×#553411yescharacteristic
699C2C2×#552711yescharacteristic
700C2C2×#552711yescharacteristic
701C2C2×#552911yescharacteristic
702C2C2×#553311yescharacteristic
subgroupG/H
centerC24C23×D3
commutator, cosocleC23×C3C25
FrattiniC23C24×D3
FittingC2×C3×#376C2
socleC24×C3C24
prime radicalC24×D3C23
hypercenterC2×#376D3
hypocenterC3C2×#2527
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#376

Complements

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

NH ≅ G/Ntype
1. C2×C3×#376C2semidirect
2. C2×#4929C2semidirect
5. C2×#4933C2semidirect
6. C2×#4933C2semidirect
8. #73422C2direct (N × H)
13. C2×C3⋊#401C2semidirect
14. C2×#4660C2semidirect
15. C2×#4646C2semidirect
16. C2×#4652C2semidirect
35. C3×#376C22semidirect
57. #4933C22semidirect
58. #4933C22semidirect
59. #4929C22semidirect
64. C3⋊#401C22semidirect
65. #4660C22semidirect
66. #4652C22semidirect
67. #4646C22semidirect
83. C2×#376D3semidirect
186. #376C2×D3semidirect
648. C2×C3#2527semidirect
693. C3C2×#2527semidirect
695. C2#73422direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#3762
C2×#49292
C2×#49402
C2×#49332
C2×C4×(C2×D3)⋊C42
#734222
C2×#46752
C2×#46732
C2×#46682
C2×#46642
C2×C3⋊#4012
C2×#46602
C2×#46462
C2×#46522
C2×#25273