Finite Group Databasebeta

← C2×#10593890 #11900101

Subgroups — C2×#10593890 #11900101

Order 1152.

3493 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3799C211yesmaximal, characteristic
2C2×C4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
3C2×C3×#872C211yesmaximal, characteristic, complemented
4C2×C3×C4×Dic6C211yesmaximal, characteristic, complemented
5C2×#63894C211yesmaximal, characteristic, complemented
6C2×D3×C4⋊Dic3C211yesmaximal, characteristic, complemented
7C2×#63883C212yesmaximal, complemented
8C2×#63881C212yesmaximal, complemented
9C2×#63880C212yesmaximal, complemented
10C2×Dic3×Dic6C211yesmaximal, characteristic, complemented
11C2×#63836C212yesmaximal, complemented
12#10593890C2116yesmaximal, direct product factor
13C2×#5574—31nomaximal
14C2×#5523—31nomaximal
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C22×C4×C3⋊D3C2212yes—
17C22×C3×C4×D3C2211yescharacteristic
18C22×C3×Dic6C2211yescharacteristic
19C22×#626C2212yes—
20C22×#624C2212yes—
21C22×#624C2212yes—
22C22×D3×Dic3C2212yes—
23C2×#3799C4116yescomplemented
24C2×#3799C2218yes—
25C2×C32×C42C2211yescharacteristic
26C2×#3752C2212yes—
27C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
28C4×C4⋊(C3⋊D3)C2218yescomplemented
29C2×C3×(C2×D3)⋊C4C2211yescharacteristic
30C2×C3×(C2×D3)⋊C4C2211yescharacteristic
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×Dic3⋊C4C2212yes—
33C2×C3×Dic3⋊C4C2211yescharacteristic
34C2×C3×Dic3⋊C4C2211yescharacteristic
35C2×C3×C4×Dic3C2211yescharacteristic
36C2×C3×C4×Dic3C2212yes—
37C3×#872C2218yescomplemented
38C3×C4×Dic6C2218yescomplemented
39C2×Dic3⋊Dic3C2212yes—
40C2×Dic3⋊Dic3C2212yes—
41C2×#3722C2212yes—
42C2×Dic32C2212yes—
43#63894C2218yescomplemented
44D3×C4⋊Dic3C2218yescomplemented
45#63883C22116yescomplemented
46#63881C22116yescomplemented
47#63880C22116yescomplemented
48Dic3×Dic6C2218yescomplemented
49#63836C22116yescomplemented
50C22×#239—31no—
51C22×#235—31no—
52C2×C3×C4×Q8—31no—
53C2×C3×#117—31no—
54C2×Q8×Dic3—31no—
55C22×C4⋊Dic3—31no—
56#5574—316no—
57#5523—316no—
58C2×#893—32no—
59C2×#893—31no—
60C2×#892—32no—
61C2×D3×C4⋊C4—31no—
62C2×D3×C4⋊C4—32no—
63C2×D3×C4⋊C4—32no—
64C2×#67⋊C4—32no—
65C2×#67⋊C4—32no—
66C2×C4×D12—31no—
67C2×C4×D12—31no—
68C2×C4×D12—32no—
69C2×C4×D12—31no—
70C2×C4×D12—61no—
71C2×#872—32no—
72C2×#872D311yescharacteristic, complemented
73C2×C4×Dic6—31no—
74C2×C4×Dic6D311yescharacteristic, complemented
75C23×C3⋊D3C2312yes—
76C23×C3×D3C2311yescharacteristic
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2311yescharacteristic
79C22×C32×C4C2311yescharacteristic
80C22×C3⋊Dic3C2312yes—
81C2×C4⋊(C3⋊D3)C2×C418yescomplemented
82C2×C4⋊(C3⋊D3)C2314yes—
83C2×C4×C3⋊D3—44no—
84C2×C4×C3⋊D3C2318yes—
85C22×C3×Dic3C2312yes—
86C22×C3×Dic3C2311yescharacteristic
87C22×C3×Dic3C2311yescharacteristic
88C22×C3×Dic3C2312yes—
89C22×C3×Dic3C2311yescharacteristic
90C2×C3×C4×D3C2×C418yescomplemented
91C2×C3×C4×D3C2314yes—
92C2×C3×Dic6C2×C418yescomplemented
93C2×C3×Dic6C2314yes—
94C2×#626C2×C4116yescomplemented
95C2×#626C2318yes—
96C2×#624—44no—
97C2×#624C2×C4116yescomplemented
98C2×#624C2318yes—
99C2×#624C2318yes—
100C2×D3×Dic3—44no—
101C2×D3×Dic3C2318yes—
102#3799C2×C4164yescomplemented
103C32×C42C2314yes—
104#3752C2318yes—
105C4⋊(C3⋊Dic3)C2314yes—
106C3×(C2×D3)⋊C4C2314yes—
107C3×(C2×D3)⋊C4C2314yes—
108C3×C4⋊Dic3C2314yes—
109C3×Dic3⋊C4C2314yes—
110C3×Dic3⋊C4C2318yes—
111C3×Dic3⋊C4C2314yes—
112C3×C4×Dic3C2318yes—
113C3×C4×Dic3C2314yes—
114Dic3⋊Dic3C2318yes—
115Dic3⋊Dic3C2318yes—
116#3722C2318yes—
117Dic32C2318yes—
118C2×#520—91noSylow
119C22×C3×Q8—31no—
120C23×C3×C4—31no—
121C22×#67—32no—
122C23×Dic3—32no—
123C2×#239—316no—
124C2×#239—38no—
125C2×#235—316no—
126C2×#235—38no—
127C22×D12—32no—
128C22×D12—31no—
129C22×D12—31no—
130C22×D12—61no—
131C22×C4×D3—32no—
132C22×C4×D3—32no—
133C22×C4×D3—32no—
134C22×C4×D3—32no—
135C22×C4×D3—32no—
136C22×C4×D3—32no—
137C22×C4×D3—32no—
138C22×C4×D3—62no—
139C22×C4×D3C2×D311yescharacteristic
140C22×Dic6C2×D311yescharacteristic
141C3×C4×Q8—38no—
142C3×#117—38no—
143C2×C3×C4⋊C4—31no—
144C2×C3×C4⋊C4—32no—
145C2×C3×C4⋊C4—31no—
146C2×C3×C4⋊C4—31no—
147C2×C3×C22⋊C4—31no—
148C2×C3×C22⋊C4—31no—
149C2×C3×C42—21no—
150C2×C3×C42—31no—
151C2×C3×C42—32no—
152C2×C3×C42C2×D311yescharacteristic
153C2×C3×C42C2×D311yescharacteristic
154Q8×Dic3—38no—
155C2×(C2×D3)⋊C4—32no—
156C2×(C2×D3)⋊C4—32no—
157C2×(C2×D3)⋊C4—32no—
158C2×(C2×D3)⋊C4—32no—
159C2×(C2×D3)⋊C4—62no—
160C2×(C2×D3)⋊C4C2×D311yescharacteristic
161C2×(C2×D3)⋊C4C2×D311yescharacteristic
162C2×C4⋊Dic3—31no—
163C2×C4⋊Dic3—31no—
164C2×C4⋊Dic3—32no—
165C2×C4⋊Dic3—32no—
166C2×C4⋊Dic3—38no—
167C2×C4⋊Dic3—61no—
168C2×C4⋊Dic3C2×D311yescharacteristic
169C2×Dic3⋊C4—32no—
170C2×Dic3⋊C4—32no—
171C2×Dic3⋊C4C2×D312yes—
172C2×Dic3⋊C4C2×D311yescharacteristic
173C2×Dic3⋊C4C2×D311yescharacteristic
174C2×C4×Dic3—32no—
175C2×C4×Dic3—32no—
176C2×C4×Dic3C2×D312yes—
177C2×C4×Dic3C2×D311yescharacteristic
178#893—316no—
179#893—38no—
180#892—316no—
181D3×C4⋊C4—38no—
182D3×C4⋊C4—316no—
183D3×C4⋊C4—316no—
184#67⋊C4—316no—
185#67⋊C4—316no—
186C4×D12—38no—
187C4×D12—38no—
188C4×D12—316no—
189C4×D12—38no—
190C4×D12—68no—
191#872—316no—
192#872C2×D318yescomplemented
193C4×Dic6—38no—
194C4×Dic6C2×D318yescomplemented
195C23×C32C2411yescharacteristic
196C22×C3⋊D3—24no—
197C22×C3⋊D3—24no—
198C22×C3⋊D3C22×C418yes—
199C22×C3⋊D3C2414yes—
200C22×C3×D3—22no—
201C22×C3×D3—22no—
202C22×C3×D3C22×C414yes—
203C22×C3×D3C2412yes—
204C2×C32×C4—22no—
205C2×C32×C4—22no—
206C2×C32×C4C22×C414yes—
207C2×C32×C4C2412yes—
208C2×C32×C4C2412yes—
209C2×C32×C4C2412yes—
210C2×C3⋊Dic3—24no—
211C2×C3⋊Dic3C2414yes—
212C4⋊(C3⋊D3)C22×C4116yescomplemented
213C4×C3⋊D3—48no—
214C2×C3×Dic3—24no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3C22×C414yes—
218C2×C3×Dic3C22×C418yes—
219C2×C3×Dic3C2412yes—
220C2×C3×Dic3C2414yes—
221C2×C3×Dic3C2412yes—
222C2×C3×Dic3C2414yes—
223C2×C3×Dic3C2412yes—
224C3×C4×D3C22×C4116yescomplemented
225C3×Dic6C22×C4116yescomplemented
226#626C22×C4132yescomplemented
227#624—48no—
228#624C22×C4132yescomplemented
229D3×Dic3—48no—
230C22×#41—91no—
231#520—916no—
232C2×C4×Q8—31no—
233C2×C4×Q8—91no—
234C2×C4×D4—92no—
235C2×C4×D4—91no—
236C2×C4×D4—92no—
237C2×C4×D4—91no—
238C2×#117—31no—
239C2×#117—92no—
240C22×C4⋊C4—92no—
241C22×C4⋊C4—91no—
242C24×C3—31no—
243C23×D3—32no—
244C23×D3—32no—
245C23×D3—62no—
246C23×D3C22×D311yescharacteristic
247C2×C3×Q8—38no—
248C2×C3×Q8—34no—
249C22×C3×C4—21no—
250C22×C3×C4—21no—
251C22×C3×C4—21no—
252C22×C3×C4—32no—
253C22×C3×C4—31no—
254C22×C3×C4—38no—
255C22×C3×C4—34no—
256C22×C3×C4—31no—
257C22×C3×C4—31no—
258C22×C3×C4—32no—
259C22×C3×C4C22×D311yescharacteristic
260C22×C3×C4C22×D311yescharacteristic
261C22×C3×C4C22×D311yescharacteristic
262C22×C3×C4C22×D311yescharacteristic
263C22×C3×C4C22×D311yescharacteristic
264C22×C3×C4C22×D311yescharacteristic
265C2×#67—316no—
266C2×#67—38no—
267C22×Dic3—32no—
268C22×Dic3—32no—
269C22×Dic3—38no—
270C22×Dic3—62no—
271C22×Dic3—124no—
272C22×Dic3C22×D311yescharacteristic
273C22×Dic3C22×D311yescharacteristic
274C22×Dic3C22×D312yes—
275C22×Dic3C22×D312yes—
276C22×Dic3C22×D311yescharacteristic
277#239—364no—
278#235—364no—
279C2×D12—316no—
280C2×D12—38no—
281C2×D12—38no—
282C2×D12—38no—
283C2×D12—34no—
284C2×D12—34no—
285C2×D12—64no—
286C2×D12—68no—
287C2×C4×D3—316no—
288C2×C4×D3—316no—
289C2×C4×D3—38no—
290C2×C4×D3—38no—
291C2×C4×D3—38no—
292C2×C4×D3—38no—
293C2×C4×D3—38no—
294C2×C4×D3—38no—
295C2×C4×D3—38no—
296C2×C4×D3—68no—
297C2×C4×D3—124no—
298C2×C4×D3—124no—
299C2×C4×D3—124no—
300C2×C4×D3—124no—
301C2×C4×D3—124no—
302C2×C4×D3—128no—
303C2×C4×D3C4×D318yescomplemented
304C2×C4×D3C22×D314yes—
305C2×Dic6C4×D318yescomplemented
306C2×Dic6C22×D314yes—
307C3×C4⋊C4—34no—
308C3×C4⋊C4—38no—
309C3×C4⋊C4—34no—
310C3×C4⋊C4—34no—
311C3×C22⋊C4—34no—
312C3×C22⋊C4—34no—
313C3×C42—24no—
314C3×C42—34no—
315C3×C42—38no—
316C3×C42C22×D314yes—
317C3×C42C22×D314yes—
318(C2×D3)⋊C4—38no—
319(C2×D3)⋊C4—38no—
320(C2×D3)⋊C4—38no—
321(C2×D3)⋊C4—38no—
322(C2×D3)⋊C4—68no—
323(C2×D3)⋊C4C22×D314yes—
324(C2×D3)⋊C4C22×D314yes—
325C4⋊Dic3—34no—
326C4⋊Dic3—34no—
327C4⋊Dic3—38no—
328C4⋊Dic3—38no—
329C4⋊Dic3—64no—
330C4⋊Dic3C22×D314yes—
331Dic3⋊C4—38no—
332Dic3⋊C4—38no—
333Dic3⋊C4C22×D318yes—
334Dic3⋊C4C22×D314yes—
335Dic3⋊C4C22×D314yes—
336C4×Dic3—38no—
337C4×Dic3—38no—
338C4×Dic3C22×D318yes—
339C4×Dic3C22×D314yes—
340C22×C32C23×C412yes—
341C22×C32H(5,𝔽2)12yes—
342C22×C322−1+412yes—
343C22×C32C2511yescharacteristic
344C2×C3⋊D3—216no—
345C2×C3⋊D3—24no—
346C2×C3⋊D3—24no—
347C2×C3⋊D3C23×C418yes—
348C2×C3×D3—28no—
349C2×C3×D3—22no—
350C2×C3×D3—22no—
351C2×C3×D3C23×C414yes—
352C32×C4—22no—
353C32×C4—22no—
354C32×C4C23×C414yes—
355C3⋊Dic3—24no—
356C3×Dic3—24no—
357C3×Dic3—22no—
358C3×Dic3—22no—
359C3×Dic3C23×C414yes—
360C3×Dic3C23×C418yes—
361C2×#41—98no—
362C2×#41—916no—
363C22×Q8—31no—
364C22×D4—92no—
365C22×D4—91no—
366C23×C4—31no—
367C23×C4—92no—
368C23×C4—92no—
369C23×C4—92no—
370C23×C4—92no—
371C4×Q8—38no—
372C4×Q8—98no—
373C4×D4—916no—
374C4×D4—98no—
375C4×D4—916no—
376C4×D4—98no—
377#117—38no—
378#117—916no—
379C2×C4⋊C4—31no—
380C2×C4⋊C4—32no—
381C2×C4⋊C4—31no—
382C2×C4⋊C4—31no—
383C2×C4⋊C4—916no—
384C2×C4⋊C4—98no—
385C2×C4⋊C4—92no—
386C2×C4⋊C4—92no—
387C2×C4⋊C4—91no—
388C2×C22⋊C4—31no—
389C2×C22⋊C4—31no—
390C2×C22⋊C4—92no—
391C2×C22⋊C4—92no—
392C2×C42—31no—
393C2×C42—32no—
394C2×C42—92no—
395C2×C42D3211yescharacteristic
396C23×C3—21no—
397C23×C3—34no—
398C23×C3—32no—
399C23×C3—62no—
400C23×C3—62no—
401C23×C3C23×D311yescharacteristic
402C23×C3C23×D311yescharacteristic
403C22×D3—22no—
404C22×D3—22no—
405C22×D3—38no—
406C22×D3—38no—
407C22×D3—34no—
408C22×D3—34no—
409C22×D3—68no—
410C22×D3—64no—
411C22×D3—64no—
412C22×D3—64no—
413C22×D3—64no—
414C22×D3—64no—
415C22×D3—124no—
416C22×D3—124no—
417C22×D3C2×C4×D314yes—
418C22×D3C23×D312yes—
419C3×Q8—316no—
420C2×C3×C4—24no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—22no—
425C2×C3×C4—22no—
426C2×C3×C4—22no—
427C2×C3×C4—22no—
428C2×C3×C4—24no—
429C2×C3×C4—34no—
430C2×C3×C4—38no—
431C2×C3×C4—34no—
432C2×C3×C4—32no—
433C2×C3×C4—316no—
434C2×C3×C4—32no—
435C2×C3×C4—32no—
436C2×C3×C4—34no—
437C2×C3×C4—42no—
438C2×C3×C4—62no—
439C2×C3×C4—64no—
440C2×C3×C4—62no—
441C2×C3×C4C2×C4×D314yes—
442C2×C3×C4C2×C4×D314yes—
443C2×C3×C4C23×D312yes—
444C2×C3×C4C23×D312yes—
445C2×C3×C4C23×D312yes—
446C2×C3×C4C23×D312yes—
447C2×C3×C4C23×D312yes—
448C2×C3×C4C23×D312yes—
449#67—332no—
450C2×Dic3—22no—
451C2×Dic3—24no—
452C2×Dic3—22no—
453C2×Dic3—34no—
454C2×Dic3—34no—
455C2×Dic3—64no—
456C2×Dic3—64no—
457C2×Dic3—64no—
458C2×Dic3—124no—
459C2×Dic3—128no—
460C2×Dic3C2×C4×D318yes—
461C2×Dic3C2×C4×D314yes—
462C2×Dic3C23×D312yes—
463C2×Dic3C23×D312yes—
464C2×Dic3C23×D314yes—
465C2×Dic3C23×D314yes—
466C2×Dic3C23×D312yes—
467D12—332no—
468D12—316no—
469D12—316no—
470D12—616no—
471C4×D3—332no—
472C4×D3—332no—
473C4×D3—128no—
474C4×D3—128no—
475C4×D3—128no—
476C4×D3—128no—
477C4×D3—128no—
478C4×D3—1216no—
479C4×D3C2×C4×D3116yescomplemented
480Dic6C2×C4×D3116yescomplemented
481C2×C32#52014yescomplemented
482C2×C32C24×C411yescharacteristic
483C2×C32C2×H(5,𝔽2)11yescharacteristic
484C2×C32C2×2−1+411yescharacteristic
485C3⋊D3—28no—
486C3×D3—24no—
487C24—31no—
488C24—92no—
489#41—964no—
490C2×Q8—34no—
491C2×Q8—38no—
492C2×D4—98no—
493C2×D4—916no—
494C2×D4—94no—
495C2×D4—98no—
496C22×C4—32no—
497C22×C4—31no—
498C22×C4—34no—
499C22×C4—38no—
500C22×C4—31no—
501C22×C4—31no—
502C22×C4—32no—
503C22×C4—98no—
504C22×C4—916no—
505C22×C4—98no—
506C22×C4—98no—
507C22×C4—92no—
508C22×C4—98no—
509C22×C4—364no—
510C22×C4—364no—
511C22×C4—364no—
512C22×C4C2×D3211yescharacteristic
513C22×C4C2×D3211yescharacteristic
514C22×C4C2×D3211yescharacteristic
515C4⋊C4—34no—
516C4⋊C4—38no—
517C4⋊C4—34no—
518C4⋊C4—34no—
519C4⋊C4—98no—
520C4⋊C4—98no—
521C4⋊C4—94no—
522C22⋊C4—34no—
523C22⋊C4—34no—
524C22⋊C4—98no—
525C22⋊C4—98no—
526C42—34no—
527C42—38no—
528C42—98no—
529C42C2×D3214yes—
530C22×C3—22no—
531C22×C3—22no—
532C22×C3—22no—
533C22×C3—21no—
534C22×C3—34no—
535C22×C3—62no—
536C22×C3—62no—
537C22×C3—68no—
538C22×C3C22×C4×D312yes—
539C22×C3C22×C4×D312yes—
540C22×C3#100712yes—
541C22×C3#100912yes—
542C22×C3#100912yes—
543C22×C3#101012yes—
544C22×C3C24×D311yescharacteristic
545C22×C3C24×D311yescharacteristic
546C2×D3—22no—
547C2×D3—22no—
548C2×D3—28no—
549C2×D3—38no—
550C2×D3—38no—
551C2×D3—68no—
552C2×D3—64no—
553C2×D3—64no—
554C2×D3—64no—
555C2×D3—64no—
556C2×D3—616no—
557C2×D3—616no—
558C2×D3—124no—
559C2×D3—124no—
560C2×D3—1216no—
561C2×D3C22×C4×D314yes—
562C3×C4—24no—
563C3×C4—22no—
564C3×C4—22no—
565C3×C4—22no—
566C3×C4—22no—
567C3×C4—24no—
568C3×C4—34no—
569C3×C4—38no—
570C3×C4—42no—
571C3×C4—62no—
572C3×C4—62no—
573C3×C4—64no—
574C3×C4C22×C4×D314yes—
575C3×C4C22×C4×D314yes—
576Dic3—22no—
577Dic3—24no—
578Dic3—22no—
579Dic3—64no—
580Dic3—64no—
581Dic3—124no—
582Dic3C22×C4×D318yes—
583Dic3C22×C4×D314yes—
584C32C2×#52011yescharacteristic, complemented, Sylow
585C23—34no—
586C23—32no—
587C23—62no—
588C23—62no—
589C23—98no—
590C23—94no—
591C23—184no—
592C23—184no—
593C23C22×D3211yescharacteristic
594Q8—316no—
595D4—932no—
596D4—916no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—34no—
600C2×C4—38no—
601C2×C4—34no—
602C2×C4—32no—
603C2×C4—316no—
604C2×C4—32no—
605C2×C4—32no—
606C2×C4—34no—
607C2×C4—62no—
608C2×C4—62no—
609C2×C4—64no—
610C2×C4—932no—
611C2×C4—94no—
612C2×C4—184no—
613C2×C4—368no—
614C2×C4—368no—
615C2×C4—368no—
616C2×C4C4×D3214yes—
617C2×C4C22×D3212yes—
618C2×C4C22×D3212yes—
619C2×C4C22×D3212yes—
620C2×C3—21no—
621C2×C3—21no—
622C2×C3—21no—
623C2×C3—24no—
624C2×C3—64no—
625C2×C3#552314yescomplemented
626C2×C3#557414yescomplemented
627C2×C3C23×C4×D311yescharacteristic
628C2×C3C23×C4×D311yescharacteristic
629C2×C3C2×#100711yescharacteristic
630C2×C3C2×#100911yescharacteristic
631C2×C3C2×#100911yescharacteristic
632C2×C3C2×#101011yescharacteristic
633D3—24no—
634D3—68no—
635D3—68no—
636D3—128no—
637C22—34no—
638C22—62no—
639C22—62no—
640C22—68no—
641C22—98no—
642C22—184no—
643C22—184no—
644C22—1816no—
645C22#6429712yes—
646C22C2×C4×D3212yes—
647C22#6430812yes—
648C22C23×D3211yescharacteristic
649C4—22no—
650C4—22no—
651C4—34no—
652C4—38no—
653C4—62no—
654C4—62no—
655C4—64no—
656C4—184no—
657C4C2×C4×D3214yes—
658C3—21no—
659C3C2×#552311yescharacteristic, complemented
660C3C2×#557411yescharacteristic, complemented
661C2—64no—
662C2—188no—
663C2#1059389014yesdirect product factor
664C2C2×#6429711yescharacteristic
665C2C22×C4×D3211yescharacteristic
666C2C2×#6430811yescharacteristic
subgroupG/H
centerC23C22×D32
commutatorC2×C32C24×C4
FrattiniC22C23×D32
FittingC2×C32×C42C22
socleC23×C32C24
prime radicalC22×#3799C2
cosocleC22×C32C25
hypercenterC2×C42D32
hypocenterC32C2×#520
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
2. C2×C4×C4⋊(C3⋊D3)C2semidirect
3. C2×C3×#872C2semidirect
4. C2×C3×C4×Dic6C2semidirect
5. C2×#63894C2semidirect
6. C2×D3×C4⋊Dic3C2semidirect
7. C2×#63883C2semidirect
8. C2×#63881C2semidirect
9. C2×#63880C2semidirect
10. C2×Dic3×Dic6C2semidirect
11. C2×#63836C2semidirect
12. #10593890C2direct (N × H)
23. C2×#3799C4semidirect
28. C4×C4⋊(C3⋊D3)C22semidirect
37. C3×#872C22semidirect
38. C3×C4×Dic6C22semidirect
43. #63894C22semidirect
44. D3×C4⋊Dic3C22semidirect
45. #63883C22semidirect
46. #63881C22semidirect
47. #63880C22semidirect
48. Dic3×Dic6C22semidirect
49. #63836C22semidirect
72. C2×#872D3semidirect
74. C2×C4×Dic6D3semidirect
81. C2×C4⋊(C3⋊D3)C2×C4semidirect
90. C2×C3×C4×D3C2×C4semidirect
92. C2×C3×Dic6C2×C4semidirect
94. C2×#626C2×C4semidirect
97. C2×#624C2×C4semidirect
102. #3799C2×C4semidirect
192. #872C2×D3semidirect
194. C4×Dic6C2×D3semidirect
212. C4⋊(C3⋊D3)C22×C4semidirect
224. C3×C4×D3C22×C4semidirect
225. C3×Dic6C22×C4semidirect
226. #626C22×C4semidirect
228. #624C22×C4semidirect
303. C2×C4×D3C4×D3semidirect
305. C2×Dic6C4×D3semidirect
479. C4×D3C2×C4×D3semidirect
480. Dic6C2×C4×D3semidirect
481. C2×C32#520semidirect
584. C32C2×#520semidirect
625. C2×C3#5523semidirect
626. C2×C3#5574semidirect
659. C3C2×#5523semidirect
660. C3C2×#5574semidirect
663. C2#10593890direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#37992
C2×C4×C4⋊(C3⋊D3)2
C2×C3×#8722
C2×C3×C4×Dic62
C2×#638942
C2×D3×C4⋊Dic32
C2×#638832
C2×#638812
C2×#638802
C2×Dic3×Dic62
C2×#638362
#105938902
C2×#55743
C2×#55233