Finite Group Databasebeta

← #11870806

Subgroups — #11870806

Order 1152.

823 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5578C211yesmaximal, characteristic
2C4×D3×Dic6C211yesmaximal, characteristic
3C4×#3756C211yesmaximal, characteristic, complemented
4C3×C4×#216C211yesmaximal, characteristic, complemented
5#10591653C211yesmaximal, characteristic
6#10591575C211yesmaximal, characteristic, complemented
7#10591574C211yesmaximal, characteristic, complemented
8#10591551C211yesmaximal, characteristic
9#10590604C211yesmaximal, characteristic
10#10590489C211yesmaximal, characteristic, complemented
11#10590488C211yesmaximal, characteristic, complemented
12#10590440C211yesmaximal, characteristic
13C4×#3719C211yesmaximal, characteristic, complemented
14C4×#3718C211yesmaximal, characteristic, complemented
15#10590261C211yesmaximal, characteristic
16#83368—31nomaximal
17#79722—31nomaximal
18C2×D3×Dic6C2211yescharacteristic
19C32×C4×Q8C2211yescharacteristic
20C2×#3756C2211yescharacteristic
21C4×#634C2211yescharacteristic
22C3×#946C2211yescharacteristic
23C3×#944C2211yescharacteristic
24C2×C3×#216C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×#896—21no—
27C3×#889—21no—
28C3×#888C2211yescharacteristic
29C3×#872—21no—
30C3×C42×D3C2211yescharacteristic
31C3×C4×Dic6—21no—
32C3×C4×Dic6C2211yescharacteristic
33C3×C4×Dic6C2211yescharacteristic
34C4×#627—21no—
35D3×C4⋊Dic3C2211yescharacteristic
36D3×Dic3⋊C4—21no—
37C4×D3×Dic3—21no—
38#63844C2211yescharacteristic
39Dic3×Dic6C2211yescharacteristic
40#63837—21no—
41C2×#3719C2211yescharacteristic
42C2×#3718C2211yescharacteristic
43#63662C2211yescharacteristic
44#63637C2211yescharacteristic
45#63634C2211yescharacteristic
46C4×C3⋊(C3⋊C8)C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#810C2211yescharacteristic
49C3×#807C2211yescharacteristic
50C3×C4×C3⋊C8C2211yescharacteristic
51#63576C2211yescharacteristic
52#63575C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63567C2211yescharacteristic
56#63566C2211yescharacteristic
57#63565C2211yescharacteristic
58#63565C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
61C3×#533—31no—
62#5578D311yescharacteristic
63C4×D3×Q8—31no—
64C2×C4×Dic6—31no—
65C3×C4×Q16—31no—
66#5186—31no—
67#5182—31no—
68#5091—31no—
69#5091—31no—
70#5090—31no—
71#5090—31no—
72#5050—31no—
73#5050—31no—
74#5044—31no—
75#5044—31no—
76C4×#216—31no—
77C4×#216—31no—
78C4×#216—31no—
79C4×#216—31no—
80C4×#216—31no—
81C4×#216—61no—
82C4×#216D311yescharacteristic, complemented
83#4925—31no—
84#4884—31no—
85#4875—31no—
86#4811—31no—
87#4809—31no—
88#4795—31no—
89#4793—31no—
90C4×Dic12—31no—
91#4685—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×C3×C4×D3D411yescharacteristic
95C2×C3×C4×D3D411yescharacteristic
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×Dic6—21no—
98C2×C3×Dic6C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#627—21no—
101C2×D3×Dic3—21no—
102C2×D3×Dic3—21no—
103D3×Dic6—22no—
104D3×Dic6—22no—
105C32×C4⋊C4—21no—
106C32×C4⋊C4C2311yescharacteristic
107C32×C42—21no—
108C32×C42C2311yescharacteristic
109#3756—22no—
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111#3750—21no—
112C4×C3⋊Dic3—21no—
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C3×#216—22no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4—21no—
127C3×C4×Dic3—21no—
128C3×C4×Dic3—21no—
129C3×C4×Dic3D411yescharacteristic
130C3×C4×Dic3D411yescharacteristic
131C3×C4×Dic3C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133C2×C3×C3⋊C8C2311yescharacteristic
134#3724—21no—
135Dic3⋊Dic3—21no—
136Dic3⋊Dic3—21no—
137Dic32—21no—
138Dic32—21no—
139#3719—22no—
140#3718—22no—
141#3104—91noSylow
142C2×D3×Q8—31no—
143C22×Dic6—31no—
144C2×C3×Q16—31no—
145C3×C4⋊Q8—31no—
146C3×C4⋊Q8—31no—
147C3×#125—61no—
148C3×C22⋊Q8—31no—
149C3×C22⋊Q8—31no—
150C3×C22⋊Q8—61no—
151C3×C4×Q8—21no—
152C3×C4×Q8—31no—
153C3×C4×Q8—31no—
154C3×C4×Q8—61no—
155C3×C4×Q8C2×D311yescharacteristic
156C3×C4×Q8C2×D311yescharacteristic
157C3×#117—61no—
158C2×C3×C42—31no—
159#946C2×D311yescharacteristic
160Q8×Dic3—31no—
161#944C2×D311yescharacteristic
162C2×#216—31no—
163C2×#216—31no—
164C2×#216—31no—
165C2×#216—31no—
166C2×#216—31no—
167C2×#216—61no—
168C2×#216C2×D311yescharacteristic
169C2×C4⋊Dic3—31no—
170C2×Dic3⋊C4—61no—
171C2×C4×Dic3—61no—
172C2×Dic12—31no—
173#897C2×D311yescharacteristic
174#896—21no—
175D3×C4⋊C4—31no—
176D3×C4⋊C4—61no—
177#889—21no—
178#888C2×D311yescharacteristic
179#887—31no—
180#887—61no—
181#872—21no—
182C42×D3—61no—
183C42×D3C2×D311yescharacteristic
184C4×Dic6—21no—
185C4×Dic6—31no—
186C4×Dic6—31no—
187C4×Dic6—31no—
188C4×Dic6—31no—
189C4×Dic6—61no—
190C4×Dic6—61no—
191C4×Dic6—61no—
192C4×Dic6—61no—
193C4×Dic6C2×D311yescharacteristic
194C4×Dic6C2×D311yescharacteristic
195C3×#107—31no—
196C3×#103—31no—
197C3×#103—31no—
198C3×C4×C8—31no—
199#835—31no—
200#835—31no—
201#835—31no—
202#835—31no—
203#835—31no—
204#835—61no—
205#835C2×D311yescharacteristic
206#830—31no—
207#830—31no—
208(C2×D3)⋊C8—31no—
209(C2×D3)⋊C8—31no—
210#818—31no—
211#816—31no—
212#816—31no—
213Dic3⋊C8—31no—
214Dic3⋊C8—31no—
215#810—31no—
216#810—31no—
217#810—31no—
218#810—31no—
219#810—31no—
220#810—61no—
221#810C2×D311yescharacteristic
222#807—31no—
223#807—31no—
224#807—31no—
225#807—31no—
226#807—31no—
227#807—61no—
228#807C2×D311yescharacteristic
229C4⋊(C3⋊C8)—31no—
230C4⋊(C3⋊C8)—31no—
231C4×C3⋊C8—31no—
232C4×C3⋊C8—31no—
233C4×C3⋊C8—61no—
234C4×C3⋊C8C2×D311yescharacteristic
235C22×C3×D3C2×D411yescharacteristic
236C32×Q8—21no—
237C32×Q8—21no—
238C2×C32×C4—21no—
239C2×C32×C4—21no—
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2×D411yescharacteristic
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245#634—21no—
246#634#4112yes—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C3×C4×D3—21no—
255C3×C4×D3—21no—
256C3×C4×D3—41no—
257C3×C4×D3Q1614yescomplemented
258C3×Dic6—21no—
259C3×Dic6—21no—
260C3×Dic6—21no—
261C3×Dic6—42no—
262C3×Dic6#4112yes—
263#627—24no—
264D3×Dic3—24no—
265D3×Dic3—42no—
266C3⋊(C3⋊C8)—21no—
267C3⋊(C3⋊C8)—21no—
268C3×C3⋊C8—21no—
269C3×C3⋊C8—21no—
270#533—31no—
271C2×C4×Q8—91no—
272#484—91no—
273#484—91no—
274#477—91no—
275#477—91no—
276#462—91no—
277#462—91no—
278#451—91no—
279#451—91no—
280C4×Q16—31no—
281C4×Q16—91no—
282C4×Q16—91no—
283C4×Q16—91no—
284#431—91no—
285C2×C3×Q8—21no—
286C2×C3×Q8—31no—
287C2×C3×Q8—31no—
288C2×C3×Q8—61no—
289C2×C3×Q8C22×D311yescharacteristic
290C2×C3×Q8C22×D311yescharacteristic
291C22×C3×C4—31no—
292C22×C3×C4—31no—
293C22×C3×C4—31no—
294C22×Dic3—61no—
295C22×Dic3—61no—
296D3×Q8—62no—
297D3×Q8—62no—
298C2×C4×D3—61no—
299C2×C4×D3—61no—
300C2×C4×D3#6711yescharacteristic
301C2×C4×D3#6711yescharacteristic
302C2×C4×D3C22×D311yescharacteristic
303C2×Dic6—21no—
304C2×Dic6—31no—
305C2×Dic6—31no—
306C2×Dic6—61no—
307C2×Dic6—62no—
308C2×Dic6—61no—
309C2×Dic6—61no—
310C2×Dic6—62no—
311C2×Dic6C22×D311yescharacteristic
312C2×Dic6C22×D311yescharacteristic
313C3×Q16—62no—
314C2×C3×C8—31no—
315C2×C3×C8—31no—
316C3×C4⋊C4—21no—
317C3×C4⋊C4—21no—
318C3×C4⋊C4—21no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—41no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4—61no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4—61no—
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C4⋊C4C22×D311yescharacteristic
331C3×C22⋊C4—61no—
332C3×C22⋊C4—61no—
333C3×C42—21no—
334C3×C42—21no—
335C3×C42—21no—
336C3×C42—31no—
337C3×C42—31no—
338C3×C42—31no—
339C3×C42—41no—
340C3×C42—61no—
341C3×C42—61no—
342C3×C42C22×D311yescharacteristic
343C3×C42C22×D311yescharacteristic
344#216—22no—
345#216—62no—
346#216—62no—
347#216—62no—
348#216—62no—
349#216—64no—
350#216—62no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—21no—
353C4⋊Dic3—21no—
354C4⋊Dic3—31no—
355C4⋊Dic3—31no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3C22×D311yescharacteristic
360C4⋊Dic3C22×D311yescharacteristic
361Dic3⋊C4—21no—
362Dic3⋊C4—21no—
363Dic3⋊C4—21no—
364Dic3⋊C4—21no—
365Dic3⋊C4—21no—
366Dic3⋊C4—21no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—121no—
374C4×Dic3—21no—
375C4×Dic3—21no—
376C4×Dic3—61no—
377C4×Dic3—61no—
378C4×Dic3—61no—
379C4×Dic3—61no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—121no—
383C4×Dic3#6711yescharacteristic
384C4×Dic3#6711yescharacteristic
385C4×Dic3C22×D311yescharacteristic
386C2×C3⋊C8—31no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—61no—
391C2×C3⋊C8—61no—
392C2×C3⋊C8C22×D311yescharacteristic
393C2×C3⋊C8C22×D311yescharacteristic
394Dic12—62no—
395C22×C32C22×D411yescharacteristic
396C2×C3×D3—21no—
397C2×C3×D3—21no—
398C2×C3×D3C2×Q1612yes—
399C32×C4—21no—
400C32×C4—41no—
401C32×C4—41no—
402C32×C4C2×Q1612yes—
403C32×C4C2×#4111yescharacteristic
404C32×C4C2×#4111yescharacteristic
405C3⋊Dic3—22no—
406C3⋊Dic3—41no—
407C3×Dic3—22no—
408C3×Dic3—21no—
409C3×Dic3—21no—
410C3×Dic3—41no—
411C3×Dic3—41no—
412C3×Dic3—41no—
413C3×Dic3C2×Q1612yes—
414C22×Q8—91no—
415C2×Q16—31no—
416C2×Q16—91no—
417C2×Q16—91no—
418C2×Q16—91no—
419C4⋊Q8—31no—
420C4⋊Q8—31no—
421#125—61no—
422C22⋊Q8—31no—
423C22⋊Q8—31no—
424C22⋊Q8—61no—
425C4×Q8—31no—
426C4×Q8—31no—
427C4×Q8—61no—
428C4×Q8—91no—
429C4×Q8—91no—
430C4×Q8—91no—
431C4×Q8—181no—
432C4×Q8—181no—
433C4×Q8D3211yescharacteristic
434#117—61no—
435C2×C4⋊C4—91no—
436C2×C4⋊C4—181no—
437C2×C42—31no—
438C2×C42—181no—
439#107—31no—
440#107—91no—
441#107—91no—
442#107—91no—
443C4⋊C8—91no—
444C4⋊C8—91no—
445#103—31no—
446#103—31no—
447#103—91no—
448#103—91no—
449#103—91no—
450#103—91no—
451#103—91no—
452#103—91no—
453C22⋊C8—91no—
454C22⋊C8—91no—
455C4×C8—31no—
456C4×C8—91no—
457C23×C3—31no—
458C22×D3C2×#6711yescharacteristic
459C3×Q8—22no—
460C3×Q8—21no—
461C3×Q8—21no—
462C3×Q8—21no—
463C3×Q8—21no—
464C3×Q8—32no—
465C3×Q8—41no—
466C3×Q8—61no—
467C3×Q8—61no—
468C3×Q8—61no—
469C3×Q8—122no—
470C2×C3×C4—21no—
471C2×C3×C4—21no—
472C2×C3×C4—21no—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—31no—
478C2×C3×C4—34no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—41no—
482C2×C3×C4—41no—
483C2×C3×C4—61no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—61no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
489C2×C3×C4—121no—
490C2×C3×C4D3×D411yescharacteristic
491C2×C3×C4D3×D411yescharacteristic
492C2×C3×C4C2×#6711yescharacteristic
493C2×C3×C4C2×#6711yescharacteristic
494C2×C3×C4C23×D311yescharacteristic
495C2×C3×C4C23×D311yescharacteristic
496C2×Dic3—21no—
497C2×Dic3—21no—
498C2×Dic3—21no—
499C2×Dic3—21no—
500C2×Dic3—64no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—121no—
506C2×Dic3—121no—
507C2×Dic3—122no—
508C2×Dic3C2×#6711yescharacteristic
509C2×Dic3C2×#6711yescharacteristic
510C2×Dic3C2×#6711yescharacteristic
511C4×D3—21no—
512C4×D3—21no—
513C4×D3—41no—
514C4×D3—64no—
515C4×D3—122no—
516C4×D3#21614yescomplemented
517Dic6—21no—
518Dic6—21no—
519Dic6—21no—
520Dic6—32no—
521Dic6—32no—
522Dic6—42no—
523Dic6—62no—
524Dic6—64no—
525Dic6—64no—
526Dic6—61no—
527Dic6—61no—
528Dic6—121no—
529Dic6#23512yes—
530C3×C8—61no—
531C3×C8—61no—
532C3⋊C8—21no—
533C3⋊C8—21no—
534C3⋊C8—62no—
535C3⋊C8—61no—
536C3⋊C8—61no—
537C3⋊C8—61no—
538C3⋊C8—61no—
539C3⋊C8—121no—
540C2×C32#52511yescharacteristic
541C2×C32C22×Q1611yescharacteristic
542C2×C32#57511yescharacteristic
543C3×D3—22no—
544C2×Q8—31no—
545C2×Q8—31no—
546C2×Q8—61no—
547C2×Q8—91no—
548C2×Q8—181no—
549C2×Q8—182no—
550C2×Q8—182no—
551C2×Q8C2×D3211yescharacteristic
552C22×C4—31no—
553C22×C4—31no—
554C22×C4—31no—
555C22×C4—181no—
556C22×C4—181no—
557Q16—62no—
558Q16—182no—
559Q16—182no—
560Q16—182no—
561C2×C8—31no—
562C2×C8—31no—
563C2×C8—91no—
564C2×C8—91no—
565C4⋊C4—21no—
566C4⋊C4—31no—
567C4⋊C4—31no—
568C4⋊C4—61no—
569C4⋊C4—61no—
570C4⋊C4—61no—
571C4⋊C4—61no—
572C4⋊C4—61no—
573C4⋊C4—61no—
574C4⋊C4—61no—
575C4⋊C4—91no—
576C4⋊C4—181no—
577C4⋊C4—181no—
578C4⋊C4—181no—
579C4⋊C4—181no—
580C4⋊C4C2×D3211yescharacteristic
581C22⋊C4—61no—
582C22⋊C4—61no—
583C42—21no—
584C42—31no—
585C42—31no—
586C42—31no—
587C42—61no—
588C42—61no—
589C42—181no—
590C42—181no—
591C42—181no—
592C42C2×D3211yescharacteristic
593C22×C3—21no—
594C22×C3—32no—
595C22×C3—61no—
596C22×C3—61no—
597C22×C3C2×D3×D411yescharacteristic
598C22×C3C22×#6711yescharacteristic
599C2×D3—21no—
600C2×D3—21no—
601C2×D3C2×#21612yes—
602C3×C4—21no—
603C3×C4—21no—
604C3×C4—21no—
605C3×C4—21no—
606C3×C4—22no—
607C3×C4—32no—
608C3×C4—41no—
609C3×C4—42no—
610C3×C4—41no—
611C3×C4—41no—
612C3×C4—41no—
613C3×C4—41no—
614C3×C4—61no—
615C3×C4—61no—
616C3×C4—62no—
617C3×C4—81no—
618C3×C4—121no—
619C3×C4—121no—
620C3×C4—121no—
621C3×C4D3×Q1612yes—
622C3×C4C2×#21612yes—
623C3×C4C2×#23511yescharacteristic
624C3×C4D3×#4111yescharacteristic
625C3×C4D3×#4111yescharacteristic
626C3×C4D3×#4111yescharacteristic
627Dic3—22no—
628Dic3—21no—
629Dic3—21no—
630Dic3—41no—
631Dic3—41no—
632Dic3—41no—
633Dic3—62no—
634Dic3—62no—
635Dic3—122no—
636Dic3—121no—
637Dic3—121no—
638Dic3—241no—
639Dic3C2×#21612yes—
640C32#310411yescharacteristic, complemented, Sylow
641C23—31no—
642Q8—21no—
643Q8—21no—
644Q8—32no—
645Q8—61no—
646Q8—61no—
647Q8—61no—
648Q8—92no—
649Q8—122no—
650Q8—184no—
651Q8—181no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—31no—
655C2×C4—34no—
656C2×C4—31no—
657C2×C4—31no—
658C2×C4—61no—
659C2×C4—61no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—121no—
665C2×C4—184no—
666C2×C4—181no—
667C2×C4—181no—
668C2×C4—362no—
669C2×C4D3×#6711yescharacteristic
670C2×C4D3×#6711yescharacteristic
671C2×C4C22×D3211yescharacteristic
672C8—61no—
673C8—61no—
674C8—181no—
675C8—181no—
676C2×C3—21no—
677C2×C3—21no—
678C2×C3—21no—
679C2×C3—62no—
680C2×C3#554711yescharacteristic
681C2×C3C2×D3×Q1611yescharacteristic
682C2×C3#576811yescharacteristic
683C2×C3C22×#21611yescharacteristic
684C2×C3#582211yescharacteristic
685C2×C3#582811yescharacteristic
686D3—22no—
687C22—32no—
688C22—61no—
689C22—61no—
690C22C2×D3×#6711yescharacteristic
691C4—21no—
692C4—32no—
693C4—41no—
694C4—41no—
695C4—61no—
696C4—61no—
697C4—62no—
698C4—121no—
699C4—121no—
700C4—121no—
701C4—182no—
702C4—361no—
703C4D3×#21612yes—
704C4D3×#23511yescharacteristic
705C4#6430611yescharacteristic
706C3—21no—
707C3#7972211yescharacteristic, complemented
708C3#8336811yescharacteristic, complemented
709C2—62no—
710C2#1059506011yescharacteristic
711C2C2×D3×#21611yescharacteristic
712C2#1059545311yescharacteristic
subgroupG/H
centerC2×C4D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×Q8C22
socleC22×C32C22×D4
prime radicalC22×C3×D3C2×D4
hypercenterC4×Q8D32
hypocenterC32#3104
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
3. C4×#3756C2semidirect
4. C3×C4×#216C2semidirect
6. #10591575C2semidirect
7. #10591574C2semidirect
10. #10590489C2semidirect
11. #10590488C2semidirect
13. C4×#3719C2semidirect
14. C4×#3718C2semidirect
82. C4×#216D3semidirect
257. C3×C4×D3Q16semidirect
516. C4×D3#216semidirect
640. C32#3104semidirect
707. C3#79722semidirect
708. C3#83368semidirect

Maximal subgroups

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

subgroupindex
C3×#55782
C4×D3×Dic62
C4×#37562
C3×C4×#2162
#105916532
#105915752
#105915742
#105915512
#105906042
#105904892
#105904882
#105904402
C4×#37192
C4×#37182
#105902612
#833683
#797223