Finite Group Databasebeta

← #11808230

Subgroups — #11808230

Order 1152.

2101 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3796C211yesmaximal, characteristic, complemented
2C2×#64090C211yesmaximal, characteristic, complemented
3C2×#67⋊Dic3C212yesmaximal, complemented
4C3×#4960C211yesmaximal, characteristic, complemented
5C3×#4947C211yesmaximal, characteristic, complemented
6#10591724C212yesmaximal, complemented
7#10591368C212yesmaximal, complemented
8#10591346C211yesmaximal, characteristic, complemented
9#10591312C212yesmaximal, complemented
10#10591302C211yesmaximal, characteristic, complemented
11#10591260C211yesmaximal, characteristic, complemented
12#76777—31nomaximal
13#76665—31nomaximal
14C22×#638C2211yescharacteristic
15C23×C3⋊Dic3C2211yescharacteristic
16C22×C4×C3⋊D3C2211yescharacteristic
17C22×C3×#67C2212yes—
18C22×C3×D12C2211yescharacteristic
19C22×C3×Dic6C2211yescharacteristic
20C22×#626C2212yes—
21C22×D3×Dic3C2212yes—
22C2×#3796—24no—
23C2×#3796—28no—
24C2×C32×C22⋊C4C2211yescharacteristic
25C2×#3752C2211yescharacteristic
26C2×#3750C2211yescharacteristic
27C2×C4×C3⋊Dic3C2211yescharacteristic
28#64090—24no—
29C2×C3×#217C2212yes—
30C2×C3×(C2×D3)⋊C4C2212yes—
31#67⋊Dic3—28no—
32C2×Dic3⋊Dic3C2212yes—
33C2×#3722C2212yes—
34C2×(C2×D3)⋊Dic3C2212yes—
35C2×(C2×D3)⋊Dic3C2212yes—
36C2×Dic32C2212yes—
37C3×C3⋊#95C2211yescharacteristic
38C3×C3⋊#95C2211yescharacteristic
39C3×C3⋊#95C2212yes—
40#63579C2212yes—
41C22×#239—31no—
42C22×#237—31no—
43C2×D4×Dic3—32no—
44C2×#67⋊C4—32no—
45C2×#67⋊C4—31no—
46C2×#67⋊C4—31no—
47C2×#67⋊C4—61no—
48C3×#393—31no—
49C3×#392—31no—
50#5230—31no—
51#5223—32no—
52#5222—31no—
53#4961—32no—
54#4960—32no—
55#4960D311yescharacteristic, complemented
56#4947D311yescharacteristic, complemented
57Dic3×C22⋊C4—32no—
58#4672—31no—
59#4672—32no—
60#4666—32no—
61#4666—31no—
62#4666—31no—
63#4656—31no—
64C24×C32C2311yescharacteristic
65C23×C3⋊D3C2311yescharacteristic
66C23×C3×D3C2312yes—
67C22×C32×C4C2311yescharacteristic
68C22×C32×C4C2311yescharacteristic
69C2×#638—22no—
70C2×#638—22no—
71C2×#638—22no—
72C22×C3⋊Dic3—22no—
73C22×C3⋊Dic3—24no—
74C22×C3⋊Dic3C2311yescharacteristic
75C22×C3⋊Dic3C2311yescharacteristic
76C22×C3⋊Dic3C2311yescharacteristic
77C2×C4×C3⋊D3—24no—
78C2×C4×C3⋊D3D414yescomplemented
79C2×C3×#67—24no—
80C2×C3×#67—24no—
81C2×C3×#67—24no—
82C22×C3×Dic3C2312yes—
83C22×C3×Dic3C2312yes—
84C22×C3×Dic3C2312yes—
85C2×C3×D12—24no—
86C2×C3×D12—22no—
87C2×C3×Dic6—22no—
88C2×C3×Dic6—24no—
89C2×#626—24no—
90C2×#626—24no—
91C2×#626—24no—
92C2×D3×Dic3—24no—
93C2×D3×Dic3—24no—
94C2×D3×Dic3D418yescomplemented
95#3796—232no—
96C32×C22⋊C4—22no—
97#3752—22no—
98#3750—22no—
99C4×C3⋊Dic3—22no—
100C3×#217—24no—
101C3×(C2×D3)⋊C4—24no—
102Dic3⋊Dic3—24no—
103#3722—24no—
104(C2×D3)⋊Dic3—24no—
105(C2×D3)⋊Dic3—24no—
106Dic32—24no—
107#2388—91noSylow
108C22×C3×Q8—31no—
109C22×C3×D4—32no—
110C22×C3×D4—31no—
111C22×#67—31no—
112C22×#67—31no—
113C22×#67—32no—
114C22×#67—61no—
115C22×#67C2×D312yes—
116C23×Dic3—32no—
117C23×Dic3—31no—
118C23×Dic3—31no—
119C23×Dic3—61no—
120C2×#239—68no—
121C2×#239—64no—
122C2×#237—64no—
123C2×#237—68no—
124C22×D12—32no—
125C22×D12C2×D311yescharacteristic
126C22×C4×D3—32no—
127C22×C4×D3—31no—
128C22×C4×D3—31no—
129C22×C4×D3—61no—
130C22×Dic6C2×D311yescharacteristic
131C2×C3×C22⋊C4—21no—
132C2×C3×C22⋊C4—32no—
133C2×C3×C22⋊C4—32no—
134C2×C3×C22⋊C4C2×D311yescharacteristic
135C2×C3×C22⋊C4C2×D311yescharacteristic
136C2×#217—32no—
137C2×#217—32no—
138C2×#217C2×D312yes—
139D4×Dic3—68no—
140C2×(C2×D3)⋊C4—32no—
141C2×(C2×D3)⋊C4—32no—
142C2×(C2×D3)⋊C4—31no—
143C2×(C2×D3)⋊C4—31no—
144C2×(C2×D3)⋊C4—32no—
145C2×(C2×D3)⋊C4—32no—
146C2×(C2×D3)⋊C4—61no—
147C2×(C2×D3)⋊C4C2×D312yes—
148C2×C4⋊Dic3—32no—
149C2×Dic3⋊C4—31no—
150C2×Dic3⋊C4—31no—
151C2×Dic3⋊C4—32no—
152C2×Dic3⋊C4—61no—
153C2×C4×Dic3—31no—
154C2×C4×Dic3—31no—
155C2×C4×Dic3—32no—
156C2×C4×Dic3—32no—
157C2×C4×Dic3—61no—
158#67⋊C4—64no—
159#67⋊C4—64no—
160#67⋊C4—68no—
161#67⋊C4—68no—
162C3×#95—31no—
163C3×#95—32no—
164C3×#95—31no—
165C3⋊#95—32no—
166C3⋊#95—32no—
167C3⋊#95C2×D311yescharacteristic
168C3⋊#95C2×D311yescharacteristic
169C3⋊#95C2×D312yes—
170C23×C32—21no—
171C23×C32—21no—
172C23×C32—22no—
173C23×C32—22no—
174C23×C32#4112yescomplemented
175C23×C32C2411yescharacteristic
176C22×C3⋊D3—21no—
177C22×C3⋊D3—21no—
178C22×C3⋊D3—22no—
179C22×C3⋊D3—22no—
180C22×C3⋊D3C2×D412yes—
181C22×C3×D3—22no—
182C22×C3×D3—22no—
183C22×C3×D3—22no—
184C22×C3×D3—22no—
185C22×C3×D3—22no—
186C22×C3×D3—22no—
187C22×C3×D3C2×D414yes—
188C2×C32×C4—21no—
189C2×C32×C4—22no—
190C2×C32×C4—22no—
191C2×C32×C4C2×D412yes—
192#638—28no—
193C2×C3⋊Dic3—21no—
194C2×C3⋊Dic3—21no—
195C2×C3⋊Dic3—21no—
196C2×C3⋊Dic3—22no—
197C2×C3⋊Dic3—44no—
198C2×C3⋊Dic3C2×D414yes—
199C2×C3⋊Dic3C2×D412yes—
200C2×C3⋊Dic3#4112yescomplemented
201C4×C3⋊D3—28no—
202C3×#67—216no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3—22no—
205C2×C3×Dic3—22no—
206C2×C3×Dic3—22no—
207C2×C3×Dic3—22no—
208C2×C3×Dic3—22no—
209C2×C3×Dic3—22no—
210C2×C3×Dic3C2×D414yes—
211C2×C3×Dic3#4114yescomplemented
212C3×D12—28no—
213C3×Dic6—28no—
214#626—216no—
215D3×Dic3—216no—
216C22×#41—91no—
217C2×C4×D4—92no—
218C2×C4×D4—91no—
219#395—91no—
220#394—92no—
221#394—91no—
222#393—31no—
223#392—31no—
224#392—92no—
225C4×C22⋊C4—91no—
226C4×C22⋊C4—92no—
227C24×C3—21no—
228C24×C3—32no—
229C24×C3C22×D311yescharacteristic
230C24×C3C22×D311yescharacteristic
231C23×D3—31no—
232C23×D3—31no—
233C23×D3—61no—
234C23×D3C22×D312yes—
235C2×C3×Q8—64no—
236C2×C3×Q8—62no—
237C2×C3×D4—64no—
238C2×C3×D4—64no—
239C2×C3×D4—64no—
240C2×C3×D4—64no—
241C2×C3×D4—62no—
242C22×C3×C4—21no—
243C22×C3×C4—21no—
244C22×C3×C4—32no—
245C22×C3×C4—32no—
246C22×C3×C4—32no—
247C22×C3×C4C22×D311yescharacteristic
248C22×C3×C4C22×D311yescharacteristic
249C22×C3×C4C22×D311yescharacteristic
250C22×C3×C4C22×D311yescharacteristic
251C2×#67—24no—
252C2×#67—24no—
253C2×#67—24no—
254C2×#67—64no—
255C2×#67—64no—
256C2×#67—62no—
257C2×#67—62no—
258C2×#67—62no—
259C2×#67—62no—
260C2×#67—64no—
261C2×#67—64no—
262C2×#67—64no—
263C2×#67—62no—
264C2×#67—62no—
265C2×#67—64no—
266C22×Dic3—31no—
267C22×Dic3—31no—
268C22×Dic3—31no—
269C22×Dic3—31no—
270C22×Dic3—38no—
271C22×Dic3—31no—
272C22×Dic3—31no—
273C22×Dic3—61no—
274C22×Dic3—61no—
275C22×Dic3—61no—
276C22×Dic3—64no—
277C22×Dic3—64no—
278C22×Dic3—62no—
279C22×Dic3—62no—
280C22×Dic3—64no—
281C22×Dic3—64no—
282C22×Dic3—64no—
283C22×Dic3—124no—
284C22×Dic3C22×D312yes—
285C22×Dic3C22×D312yes—
286C22×Dic3C22×D312yes—
287#239—632no—
288#237—632no—
289C2×D12—24no—
290C2×D12—22no—
291C2×D12—64no—
292C2×D12—64no—
293C2×D12—64no—
294C2×C4×D3—38no—
295C2×C4×D3—34no—
296C2×C4×D3—34no—
297C2×C4×D3—64no—
298C2×C4×D3—64no—
299C2×C4×D3—64no—
300C2×C4×D3—64no—
301C2×C4×D3—64no—
302C2×C4×D3—124no—
303C2×Dic6—22no—
304C2×Dic6—24no—
305C3×C22⋊C4—24no—
306C3×C22⋊C4—22no—
307C3×C22⋊C4—22no—
308C3×C22⋊C4—64no—
309C3×C22⋊C4—64no—
310#217—24no—
311#217—64no—
312#217—64no—
313(C2×D3)⋊C4—24no—
314(C2×D3)⋊C4—64no—
315(C2×D3)⋊C4—64no—
316(C2×D3)⋊C4—62no—
317(C2×D3)⋊C4—62no—
318(C2×D3)⋊C4—64no—
319(C2×D3)⋊C4—64no—
320(C2×D3)⋊C4—64no—
321C4⋊Dic3—64no—
322Dic3⋊C4—64no—
323Dic3⋊C4—64no—
324Dic3⋊C4—62no—
325Dic3⋊C4—62no—
326C4×Dic3—64no—
327C4×Dic3—64no—
328C4×Dic3—62no—
329C4×Dic3—62no—
330C4×Dic3—64no—
331C22×C32—22no—
332C22×C32—24no—
333C22×C32—41no—
334C22×C32—41no—
335C22×C32—42no—
336C22×C32C22×D412yes—
337C22×C32C22×D411yescharacteristic
338C22×C32C2×#4111yescharacteristic
339C22×C32C2×#4112yes—
340C22×C32C2×#4111yescharacteristic
341C2×C3⋊D3—22no—
342C2×C3⋊D3—22no—
343C2×C3⋊D3—22no—
344C2×C3⋊D3—42no—
345C2×C3⋊D3—42no—
346C2×C3×D3—24no—
347C2×C3×D3—24no—
348C2×C3×D3—24no—
349C2×C3×D3—42no—
350C2×C3×D3—42no—
351C2×C3×D3—42no—
352C2×C3×D3—42no—
353C32×C4—22no—
354C32×C4—41no—
355C3⋊Dic3—22no—
356C3⋊Dic3—41no—
357C3⋊Dic3#12014yes—
358C3×Dic3—24no—
359C3×Dic3—24no—
360C3×Dic3—42no—
361C2×#41—188no—
362C2×#41—184no—
363C22×Q8—31no—
364C22×D4—32no—
365C22×D4—31no—
366C22×D4—92no—
367C22×D4—91no—
368C23×C4—92no—
369C23×C4—91no—
370C23×C4—91no—
371C4×D4—184no—
372C4×D4—188no—
373C2×C4⋊C4—92no—
374C2×C4⋊C4—91no—
375C2×C22⋊C4—32no—
376C2×C22⋊C4—32no—
377C2×C22⋊C4—92no—
378C2×C22⋊C4—92no—
379C2×C22⋊C4—92no—
380C2×C22⋊C4—91no—
381C2×C22⋊C4D3211yescharacteristic
382C2×C42—92no—
383C2×C42—91no—
384#95—31no—
385#95—32no—
386#95—31no—
387#95—92no—
388C23×C3—22no—
389C23×C3—22no—
390C23×C3—22no—
391C23×C3—21no—
392C23×C3—21no—
393C23×C3—22no—
394C23×C3—22no—
395C23×C3—21no—
396C23×C3—21no—
397C23×C3—22no—
398C23×C3—21no—
399C23×C3—22no—
400C23×C3—34no—
401C23×C3—42no—
402C23×C3—42no—
403C23×C3—62no—
404C23×C3—62no—
405C23×C3—62no—
406C23×C3—62no—
407C23×C3—62no—
408C23×C3—62no—
409C23×C3#23712yescomplemented
410C23×C3#23912yescomplemented
411C23×C3C23×D311yescharacteristic
412C23×C3C23×D311yescharacteristic
413C22×D3—22no—
414C22×D3—22no—
415C22×D3—22no—
416C22×D3—22no—
417C22×D3—22no—
418C22×D3—22no—
419C22×D3—32no—
420C22×D3—32no—
421C22×D3—62no—
422C22×D3—62no—
423C22×D3—62no—
424C22×D3—62no—
425C22×D3—62no—
426C22×D3—62no—
427C22×D3—61no—
428C22×D3—61no—
429C22×D3—62no—
430C22×D3—61no—
431C22×D3—61no—
432C22×D3—122no—
433C22×D3—122no—
434C22×D3D3×D414yes—
435C3×Q8—68no—
436C3×D4—68no—
437C3×D4—616no—
438C2×C3×C4—22no—
439C2×C3×C4—22no—
440C2×C3×C4—22no—
441C2×C3×C4—21no—
442C2×C3×C4—21no—
443C2×C3×C4—22no—
444C2×C3×C4—22no—
445C2×C3×C4—22no—
446C2×C3×C4—34no—
447C2×C3×C4—34no—
448C2×C3×C4—42no—
449C2×C3×C4—42no—
450C2×C3×C4—62no—
451C2×C3×C4—62no—
452C2×C3×C4—62no—
453C2×C3×C4—62no—
454C2×C3×C4—62no—
455C2×C3×C4—62no—
456C2×C3×C4—62no—
457C2×C3×C4D3×D412yes—
458C2×C3×C4D3×D412yes—
459#67—216no—
460#67—616no—
461#67—616no—
462#67—68no—
463#67—68no—
464C2×Dic3—22no—
465C2×Dic3—22no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—22no—
469C2×Dic3—22no—
470C2×Dic3—22no—
471C2×Dic3—34no—
472C2×Dic3—32no—
473C2×Dic3—32no—
474C2×Dic3—34no—
475C2×Dic3—32no—
476C2×Dic3—32no—
477C2×Dic3—62no—
478C2×Dic3—64no—
479C2×Dic3—62no—
480C2×Dic3—616no—
481C2×Dic3—62no—
482C2×Dic3—62no—
483C2×Dic3—61no—
484C2×Dic3—61no—
485C2×Dic3—61no—
486C2×Dic3—61no—
487C2×Dic3—62no—
488C2×Dic3—62no—
489C2×Dic3—61no—
490C2×Dic3—61no—
491C2×Dic3—62no—
492C2×Dic3—122no—
493C2×Dic3—124no—
494C2×Dic3—124no—
495C2×Dic3—128no—
496C2×Dic3D3×D414yes—
497C2×Dic3#23714yescomplemented
498D12—28no—
499D12—616no—
500C4×D3—68no—
501C4×D3—68no—
502C4×D3—616no—
503C4×D3—128no—
504Dic6—28no—
505C2×C32—42no—
506C2×C32C2×#12011yescharacteristic
507C2×C32#52512yes—
508C2×C32#52511yescharacteristic
509C2×C32#53211yescharacteristic
510C2×C32#53212yes—
511C3⋊D3—42no—
512C3×D3—44no—
513C24—32no—
514C24—91no—
515C24C2×D3211yescharacteristic
516#41—1832no—
517C2×Q8—64no—
518C2×Q8—62no—
519C2×D4—64no—
520C2×D4—64no—
521C2×D4—64no—
522C2×D4—64no—
523C2×D4—62no—
524C2×D4—184no—
525C2×D4—184no—
526C2×D4—184no—
527C2×D4—182no—
528C2×D4—182no—
529C2×D4—182no—
530C22×C4—32no—
531C22×C4—32no—
532C22×C4—32no—
533C22×C4—98no—
534C22×C4—91no—
535C22×C4—91no—
536C22×C4—94no—
537C22×C4—91no—
538C22×C4—184no—
539C22×C4—184no—
540C22×C4—184no—
541C22×C4—182no—
542C22×C4—184no—
543C22×C4C2×D3211yescharacteristic
544C22×C4C2×D3211yescharacteristic
545C4⋊C4—184no—
546C4⋊C4—182no—
547C22⋊C4—22no—
548C22⋊C4—64no—
549C22⋊C4—64no—
550C22⋊C4—182no—
551C22⋊C4—184no—
552C22⋊C4—184no—
553C22⋊C4—184no—
554C42—182no—
555C42—184no—
556C22×C3—24no—
557C22×C3—24no—
558C22×C3—22no—
559C22×C3—22no—
560C22×C3—24no—
561C22×C3—21no—
562C22×C3—21no—
563C22×C3—22no—
564C22×C3—22no—
565C22×C3—21no—
566C22×C3—44no—
567C22×C3—42no—
568C22×C3—44no—
569C22×C3—42no—
570C22×C3—42no—
571C22×C3—41no—
572C22×C3—41no—
573C22×C3—41no—
574C22×C3—41no—
575C22×C3—42no—
576C22×C3—64no—
577C22×C3—64no—
578C22×C3—64no—
579C22×C3—122no—
580C22×C3—122no—
581C22×C3—122no—
582C22×C3—122no—
583C22×C3C2×D3×D412yes—
584C22×C3C2×D3×D412yes—
585C22×C3C2×D3×D411yescharacteristic
586C22×C3C2×D3×D411yescharacteristic
587C22×C3C2×#23711yescharacteristic
588C22×C3C2×#23712yes—
589C22×C3C2×#23911yescharacteristic
590C22×C3D3×#4111yescharacteristic
591C22×C3D3×#4111yescharacteristic
592C22×C3D3×#4112yes—
593C2×D3—24no—
594C2×D3—24no—
595C2×D3—24no—
596C2×D3—42no—
597C2×D3—42no—
598C2×D3—42no—
599C2×D3—42no—
600C2×D3—64no—
601C2×D3—62no—
602C2×D3—62no—
603C2×D3—62no—
604C2×D3—62no—
605C2×D3—62no—
606C2×D3—62no—
607C2×D3—122no—
608C2×D3—122no—
609C2×D3—124no—
610C2×D3—124no—
611C2×D3—122no—
612C2×D3—122no—
613C2×D3—122no—
614C2×D3—122no—
615C3×C4—22no—
616C3×C4—22no—
617C3×C4—42no—
618C3×C4—42no—
619C3×C4—41no—
620C3×C4—41no—
621C3×C4—64no—
622C3×C4—64no—
623C3×C4—122no—
624Dic3—24no—
625Dic3—24no—
626Dic3—34no—
627Dic3—34no—
628Dic3—42no—
629Dic3—64no—
630Dic3—64no—
631Dic3—62no—
632Dic3—62no—
633Dic3—122no—
634Dic3—121no—
635Dic3—121no—
636C32#238811yescharacteristic, complemented, Sylow
637C23—21no—
638C23—22no—
639C23—22no—
640C23—21no—
641C23—34no—
642C23—62no—
643C23—62no—
644C23—62no—
645C23—62no—
646C23—62no—
647C23—62no—
648C23—92no—
649C23—181no—
650C23—181no—
651C23—182no—
652C23—182no—
653C23#379612yescomplemented
654C23C22×D3211yescharacteristic
655Q8—68no—
656D4—68no—
657D4—616no—
658D4—1816no—
659D4—188no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—21no—
663C2×C4—34no—
664C2×C4—34no—
665C2×C4—62no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—62no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—62no—
672C2×C4—94no—
673C2×C4—92no—
674C2×C4—92no—
675C2×C4—188no—
676C2×C4—1816no—
677C2×C4—181no—
678C2×C4—181no—
679C2×C4—182no—
680C2×C4—181no—
681C2×C4—364no—
682C2×C4#381112yes—
683C2×C3—22no—
684C2×C3—22no—
685C2×C3—21no—
686C2×C3—21no—
687C2×C3—21no—
688C2×C3—44no—
689C2×C3—42no—
690C2×C3—42no—
691C2×C3—124no—
692C2×C3#558612yes—
693C2×C3D3×#12011yescharacteristic
694C2×C3D3×#12011yescharacteristic
695C2×C3#559612yes—
696C2×C3#560611yescharacteristic
697C2×C3#562712yes—
698C2×C3#562711yescharacteristic
699C2×C3#566812yes—
700C2×C3#566811yescharacteristic
701C2×C3#571611yescharacteristic
702D3—44no—
703D3—124no—
704D3—122no—
705D3—122no—
706C22—24no—
707C22—22no—
708C22—42no—
709C22—41no—
710C22—41no—
711C22—64no—
712C22—64no—
713C22—64no—
714C22—122no—
715C22—122no—
716C22—122no—
717C22—122no—
718C22—182no—
719C22—182no—
720C22—182no—
721C22—362no—
722C22—362no—
723C22C2×#379611yescharacteristic
724C22#6430611yescharacteristic
725C22D32×D412yes—
726C22D3×#23712yes—
727C22C2×#381111yescharacteristic
728C4—22no—
729C4—41no—
730C4—64no—
731C4—64no—
732C4—94no—
733C4—122no—
734C4—182no—
735C4—361no—
736C3—21no—
737C3#7666511yescharacteristic, complemented
738C3#7677711yescharacteristic, complemented
739C2—42no—
740C2—124no—
741C2—362no—
742C2#1059405512yes—
743C2#1059406112yes—
744C2#1059492211yescharacteristic
745C2#1059516711yescharacteristic
746C2#1059527811yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC2×C32×C22⋊C4C22
hypercenterC2×C22⋊C4D32
hypocenterC32#2388
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#3796C2semidirect
2. C2×#64090C2semidirect
3. C2×#67⋊Dic3C2semidirect
4. C3×#4960C2semidirect
5. C3×#4947C2semidirect
6. #10591724C2semidirect
7. #10591368C2semidirect
8. #10591346C2semidirect
9. #10591312C2semidirect
10. #10591302C2semidirect
11. #10591260C2semidirect
55. #4960D3semidirect
56. #4947D3semidirect
78. C2×C4×C3⋊D3D4semidirect
94. C2×D3×Dic3D4semidirect
174. C23×C32#41semidirect
200. C2×C3⋊Dic3#41semidirect
211. C2×C3×Dic3#41semidirect
409. C23×C3#237semidirect
410. C23×C3#239semidirect
497. C2×Dic3#237semidirect
636. C32#2388semidirect
653. C23#3796semidirect
737. C3#76665semidirect
738. C3#76777semidirect

Maximal subgroups

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

subgroupindex
C22×#37962
C2×#640902
C2×#67⋊Dic32
C3×#49602
C3×#49472
#105917242
#105913682
#105913462
#105913122
#105913022
#105912602
#767773
#766653