Finite Group Databasebeta

← #11872972

Subgroups — #11872972

Order 1152.

844 conjugacy classes of subgroups.

The subgroup lattice has 761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595395C211yesmaximal, characteristic, complemented
2#10595353C211yesmaximal, characteristic, complemented
3#10592886C211yesmaximal, characteristic, complemented
4C3×#5185C211yesmaximal, characteristic, complemented
5C3×Dic3×Q16C211yesmaximal, characteristic, complemented
6#10591593C211yesmaximal, characteristic
7#10591568C211yesmaximal, characteristic, complemented
8#10591566C211yesmaximal, characteristic, complemented
9#10591555C211yesmaximal, characteristic, complemented
10#10591546C211yesmaximal, characteristic, complemented
11#10591540C211yesmaximal, characteristic, complemented
12#10590764C211yesmaximal, characteristic, complemented
13#10590745C211yesmaximal, characteristic, complemented
14#10590650C211yesmaximal, characteristic, complemented
15#10590648C211yesmaximal, characteristic, complemented
16#80574—31nomaximal
17#79749—31nomaximal
18C2×#3832C2211yescharacteristic
19C2×C32×Q16C2211yescharacteristic
20#64155C2211yescharacteristic
21C2×#3755C2211yescharacteristic
22C3×#947C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C3×Q8×Dic3C2211yescharacteristic
25C3×Q8×Dic3C2211yescharacteristic
26C2×C3×#215C2211yescharacteristic
27#63918C2211yescharacteristic
28#63916C2211yescharacteristic
29#63900—21no—
30#63900C2211yescharacteristic
31#63899—21no—
32#63894—21no—
33#63894—21no—
34#63894C2211yescharacteristic
35#63894C2211yescharacteristic
36Dic3×D12C2211yescharacteristic
37#63890—21no—
38#63874—21no—
39#63874C2211yescharacteristic
40#63859—21no—
41#63852—21no—
42C2×#3714C2211yescharacteristic
43#63662C2211yescharacteristic
44#63648C2211yescharacteristic
45#63647C2211yescharacteristic
46C3×#835C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#835C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×#818C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52C3×C8×Dic3C2211yescharacteristic
53#63576C2211yescharacteristic
54#63575C2211yescharacteristic
55#63575C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63564C2211yescharacteristic
58#63562C2211yescharacteristic
59#63557C2211yescharacteristic
60#63554C2211yescharacteristic
61#5682—31no—
62#5582—31no—
63#5574—31no—
64#5574—31no—
65C3×#464—31no—
66C3×C4×Q16—31no—
67#5187—31no—
68#5187—31no—
69#5187—61no—
70#5185D311yescharacteristic, complemented
71Dic3×Q16D311yescharacteristic, complemented
72#5172—31no—
73#5164—31no—
74#5057—31no—
75#5026—31no—
76#5026—31no—
77#5021—31no—
78#4890—31no—
79#4882—31no—
80#4846—31no—
81#4840—31no—
82#4819—31no—
83#4817—31no—
84#4811—31no—
85#4811—31no—
86#4810—31no—
87#4793—31no—
88#4774—31no—
89#4756—31no—
90C4×D24—31no—
91#4690—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×Q8C2311yescharacteristic
94#3832—22no—
95#3832—22no—
96C2×C4⋊(C3⋊D3)—21no—
97C2×C4⋊(C3⋊D3)C2311yescharacteristic
98C2×C4×C3⋊D3—21no—
99C2×C4×C3⋊D3C2311yescharacteristic
100C2×C3×D12C2311yescharacteristic
101C2×#627—21no—
102C2×#626—21no—
103C2×#624—21no—
104C2×#624—21no—
105C2×#624—21no—
106C2×D3×Dic3—21no—
107C32×Q16—22no—
108C2×C32×C8C2311yescharacteristic
109#3755—22no—
110#3752—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#215—22no—
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4×Dic3—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3C2311yescharacteristic
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130#3724—21no—
131#3724D411yescharacteristic
132#3724D411yescharacteristic
133Dic3⋊Dic3—21no—
134#3722—21no—
135#3722—21no—
136#3722D411yescharacteristic
137#3722D411yescharacteristic
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3—21no—
140#3714—22no—
141#3124—91noSylow
142C2×#239—31no—
143C2×#239—31no—
144C2×#239—61no—
145C2×C3×Q16—21no—
146C2×C3×Q16C2×D311yescharacteristic
147C2×C3×Q16C2×D311yescharacteristic
148C2×C3×SD16—31no—
149C3×#124—31no—
150C3×C4×Q8—31no—
151C3×C4×Q8—31no—
152C3×C4×Q8—31no—
153#947C2×D311yescharacteristic
154#946—31no—
155#946—31no—
156#946—61no—
157Q8×Dic3C2×D311yescharacteristic
158Q8×Dic3C2×D311yescharacteristic
159Q8×Dic3C2×D311yescharacteristic
160C2×#215—31no—
161C2×#215—31no—
162C2×#215—61no—
163C2×#215C2×D311yescharacteristic
164#938—31no—
165D4×Dic3—31no—
166C2×#213—31no—
167C2×D24—31no—
168#896—61no—
169#895—31no—
170#894—61no—
171#893—31no—
172#893—31no—
173#893—61no—
174#893—61no—
175D3×C4⋊C4—31no—
176D3×C4⋊C4—31no—
177D3×C4⋊C4—61no—
178D3×C4⋊C4—61no—
179#888—31no—
180#886—61no—
181#885—61no—
182#879—61no—
183#878—61no—
184#876—61no—
185#875—61no—
186C4×D12—31no—
187C4×D12—31no—
188C4×D12—31no—
189C4×D12—61no—
190C4×D12—61no—
191#872—31no—
192#872—31no—
193#872—61no—
194#872—61no—
195#869—31no—
196C3×#107—31no—
197C3×C4⋊C8—31no—
198C3×#103—31no—
199C3×#103—31no—
200C3×#103—31no—
201C3×#102—31no—
202C3×C4×C8—31no—
203#835—31no—
204#835—31no—
205#835—61no—
206#835C2×D311yescharacteristic
207#835C2×D311yescharacteristic
208#835C2×D311yescharacteristic
209#832—31no—
210#821—31no—
211#821—31no—
212#821—31no—
213#821—61no—
214#821C2×D311yescharacteristic
215(C2×D3)⋊C8—31no—
216(C2×D3)⋊C8—31no—
217(C2×D3)⋊C8—31no—
218(C2×D3)⋊C8—31no—
219(C2×D3)⋊C8—61no—
220#818—31no—
221#818—31no—
222#818C2×D311yescharacteristic
223#815—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8C2×D311yescharacteristic
226C8×Dic3C2×D311yescharacteristic
227#809—31no—
228#809—31no—
229#807—31no—
230#807—31no—
231#807—31no—
232#807—31no—
233C4⋊(C3⋊C8)—31no—
234#803—31no—
235C22×C3⋊D3—21no—
236C22×C3⋊D3C2×D411yescharacteristic
237C22×C3×D3—21no—
238C32×Q8—21no—
239C32×Q8—21no—
240C32×Q8—21no—
241C32×Q8#4112yes—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4C2411yescharacteristic
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C4⋊(C3⋊D3)—24no—
248C4⋊(C3⋊D3)—21no—
249C4⋊(C3⋊D3)#4112yes—
250C4×C3⋊D3—24no—
251C4×C3⋊D3—21no—
252C4×C3⋊D3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C3×D12—21no—
261C3×D12—21no—
262#627—81no—
263#626—81no—
264#624—81no—
265#624—81no—
266#624—81no—
267D3×Dic3—81no—
268C32×C8—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#542—91no—
273#520—91no—
274#484—91no—
275#480—91no—
276#477—91no—
277#474—91no—
278#464—31no—
279#463—91no—
280#452—91no—
281#449—91no—
282#440—91no—
283#440—91no—
284C4×Q16—31no—
285C4×D8—91no—
286#433—91no—
287C2×C3×Q8—21no—
288C2×C3×Q8—21no—
289C2×C3×Q8C22×D311yescharacteristic
290C2×C3×Q8C22×D311yescharacteristic
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×D4—31no—
294C2×#67—61no—
295C22×Dic3—61no—
296#239—62no—
297#239—62no—
298#239—62no—
299#239—62no—
300#239—122no—
301#239—122no—
302C2×D12—31no—
303C2×D12—31no—
304C2×D12—61no—
305C2×D12—61no—
306C2×D12—61no—
307C2×D12—61no—
308C2×D12—121no—
309C2×D12C22×D311yescharacteristic
310C2×C4×D3—31no—
311C2×C4×D3—31no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×C4×D3—61no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—121no—
323C2×Dic6—61no—
324C2×Dic6—61no—
325C3×Q16—22no—
326C3×Q16—22no—
327C3×Q16—42no—
328C3×SD16—62no—
329C2×C3×C8—21no—
330C2×C3×C8—31no—
331C2×C3×C8—31no—
332C2×C3×C8C22×D311yescharacteristic
333C2×C3×C8C22×D311yescharacteristic
334C3×C4⋊C4—31no—
335C3×C4⋊C4—31no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4—61no—
340C3×C22⋊C4—61no—
341C3×C22⋊C4—61no—
342C3×C42—31no—
343C3×C42—31no—
344C3×C42—61no—
345C3×C42—61no—
346C3×C42—61no—
347#217—61no—
348#217—61no—
349#215—22no—
350#215—62no—
351#215—62no—
352#215—122no—
353#213—62no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—21no—
356(C2×D3)⋊C4—31no—
357(C2×D3)⋊C4—31no—
358(C2×D3)⋊C4—31no—
359(C2×D3)⋊C4—31no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—61no—
368(C2×D3)⋊C4—121no—
369C4⋊Dic3—21no—
370C4⋊Dic3—21no—
371C4⋊Dic3—21no—
372C4⋊Dic3—31no—
373C4⋊Dic3—31no—
374C4⋊Dic3—61no—
375C4⋊Dic3—61no—
376C4⋊Dic3C22×D311yescharacteristic
377C4⋊Dic3C22×D311yescharacteristic
378C4⋊Dic3C22×D311yescharacteristic
379Dic3⋊C4—31no—
380Dic3⋊C4—31no—
381Dic3⋊C4—31no—
382Dic3⋊C4—31no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—121no—
389C4×Dic3—21no—
390C4×Dic3—21no—
391C4×Dic3—21no—
392C4×Dic3C22×D311yescharacteristic
393C4×Dic3C22×D311yescharacteristic
394C2×C3⋊C8—31no—
395C2×C3⋊C8—31no—
396C2×C3⋊C8—61no—
397C2×C3⋊C8C22×D311yescharacteristic
398C2×C3⋊C8C22×D311yescharacteristic
399D24—62no—
400C22×C32C22×D411yescharacteristic
401C2×C3⋊D3—21no—
402C2×C3⋊D3—22no—
403C2×C3⋊D3—21no—
404C2×C3⋊D3—21no—
405C2×C3⋊D3—41no—
406C2×C3⋊D3—41no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C32×C4—22no—
411C32×C4—41no—
412C32×C4C2×#4111yescharacteristic
413C32×C4C2×#4111yescharacteristic
414C3⋊Dic3—21no—
415C3⋊Dic3—41no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—21no—
419C3×Dic3—21no—
420C3×Dic3—41no—
421C3×Dic3—41no—
422C3×Dic3—41no—
423C2×#41—91no—
424C2×Q16D3211yescharacteristic
425C2×SD16—31no—
426C2×SD16—91no—
427C2×D8—91no—
428C4⋊Q8—91no—
429#126—181no—
430#124—31no—
431#124—181no—
432#123—181no—
433C22⋊Q8—91no—
434C22⋊Q8—181no—
435#121—91no—
436C4×Q8—31no—
437C4×Q8—31no—
438C4×Q8—31no—
439C4×D4—91no—
440C4×D4—91no—
441C4×D4—91no—
442C4×D4—181no—
443C4×D4—181no—
444#117—91no—
445#117—181no—
446C2×C4⋊C4—91no—
447C2×C4⋊C4—181no—
448#107—31no—
449#107—91no—
450#107—91no—
451#107—91no—
452C4⋊C8—31no—
453C4⋊C8—91no—
454#103—31no—
455#103—31no—
456#103—31no—
457#103—91no—
458#102—31no—
459#102—91no—
460#102—91no—
461#102—91no—
462C22⋊C8—91no—
463C22⋊C8—91no—
464#97—91no—
465C4×C8—31no—
466C23×C3—61no—
467C22×D3—21no—
468C22×D3—31no—
469C22×D3—31no—
470C22×D3—61no—
471C22×D3—61no—
472C22×D3—61no—
473C22×D3—121no—
474C3×Q8—21no—
475C3×Q8—21no—
476C3×Q8—21no—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8—21no—
480C3×Q8—22no—
481C3×Q8—41no—
482C3×Q8—41no—
483C3×Q8—41no—
484C3×Q8#23512yes—
485C3×Q8#23712yes—
486C3×D4—61no—
487C3×D4—61no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—31no—
497C2×C3×C4—41no—
498C2×C3×C4—41no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4C23×D311yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504#67—241no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—31no—
509C2×Dic3—31no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—121no—
514C2×Dic3—241no—
515C2×Dic3D3×D411yescharacteristic
516C2×Dic3D3×D411yescharacteristic
517C2×Dic3D3×D411yescharacteristic
518C2×Dic3D3×D411yescharacteristic
519D12—21no—
520D12—21no—
521D12—32no—
522D12—32no—
523D12—62no—
524D12—64no—
525D12—64no—
526D12—61no—
527D12—61no—
528D12—121no—
529D12—124no—
530D12—241no—
531C4×D3—64no—
532C4×D3—64no—
533C4×D3—61no—
534C4×D3—61no—
535C4×D3—61no—
536C4×D3—61no—
537C4×D3—121no—
538C4×D3—121no—
539C4×D3—124no—
540C4×D3—241no—
541C4×D3—241no—
542C4×D3—241no—
543C4×D3—241no—
544C4×D3—241no—
545C4×D3—241no—
546C4×D3—241no—
547Dic6—241no—
548Dic6—241no—
549C3×C8—21no—
550C3×C8—21no—
551C3×C8—41no—
552C3×C8—61no—
553C3×C8—61no—
554C3⋊C8—21no—
555C3⋊C8—21no—
556C3⋊C8—61no—
557C3⋊C8—61no—
558C3⋊C8—121no—
559C2×C32#52511yescharacteristic
560C2×C32#57611yescharacteristic
561C2×C32#57811yescharacteristic
562C3⋊D3—41no—
563C3⋊D3—42no—
564C3×D3—81no—
565#41—182no—
566#41—182no—
567C2×Q8—181no—
568C2×Q8C2×D3211yescharacteristic
569C2×Q8C2×D3211yescharacteristic
570C2×D4—31no—
571C2×D4—91no—
572C2×D4—181no—
573C2×D4—181no—
574C22×C4—91no—
575C22×C4—181no—
576C22×C4—181no—
577C22×C4—181no—
578C22×C4—181no—
579C22×C4—181no—
580Q16—22no—
581SD16—62no—
582SD16—182no—
583D8—182no—
584C2×C8—31no—
585C2×C8—31no—
586C2×C8—91no—
587C2×C8C2×D3211yescharacteristic
588C4⋊C4—31no—
589C4⋊C4—31no—
590C4⋊C4—31no—
591C4⋊C4—61no—
592C4⋊C4—61no—
593C4⋊C4—61no—
594C4⋊C4—91no—
595C4⋊C4—91no—
596C4⋊C4—91no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C22⋊C4—61no—
601C22⋊C4—61no—
602C22⋊C4—91no—
603C22⋊C4—91no—
604C22⋊C4—181no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C42—31no—
610C42—31no—
611C42—61no—
612C42—61no—
613C42—61no—
614C22×C3—21no—
615C22×C3—121no—
616C22×C3—121no—
617C22×C3—121no—
618C22×C3C2×D3×D411yescharacteristic
619C22×C3C2×D3×D411yescharacteristic
620C2×D3—41no—
621C2×D3—41no—
622C2×D3—41no—
623C2×D3—61no—
624C2×D3—61no—
625C2×D3—61no—
626C2×D3—61no—
627C2×D3—62no—
628C2×D3—61no—
629C2×D3—62no—
630C2×D3—61no—
631C2×D3—122no—
632C2×D3—121no—
633C2×D3—121no—
634C2×D3—121no—
635C2×D3—121no—
636C2×D3—121no—
637C2×D3—121no—
638C2×D3—121no—
639C2×D3—241no—
640C2×D3—241no—
641C3×C4—22no—
642C3×C4—22no—
643C3×C4—21no—
644C3×C4—21no—
645C3×C4—42no—
646C3×C4—41no—
647C3×C4—41no—
648C3×C4—61no—
649C3×C4—61no—
650C3×C4—61no—
651C3×C4—61no—
652C3×C4—81no—
653C3×C4—121no—
654C3×C4—121no—
655C3×C4—121no—
656C3×C4C2×#23511yescharacteristic
657C3×C4C2×#23711yescharacteristic
658C3×C4D3×#4111yescharacteristic
659C3×C4D3×#4111yescharacteristic
660Dic3—21no—
661Dic3—21no—
662Dic3—21no—
663Dic3—21no—
664Dic3—41no—
665Dic3—41no—
666Dic3—41no—
667Dic3—61no—
668Dic3—61no—
669Dic3—121no—
670Dic3—121no—
671Dic3—121no—
672Dic3—241no—
673C32#312411yescharacteristic, complemented, Sylow
674C23—61no—
675C23—91no—
676C23—181no—
677Q8—21no—
678Q8—21no—
679Q8—21no—
680Q8—721no—
681Q8#380412yes—
682D4—61no—
683D4—61no—
684D4—92no—
685D4—184no—
686D4—181no—
687D4—721no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—31no—
691C2×C4—31no—
692C2×C4—31no—
693C2×C4—31no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—91no—
698C2×C4—184no—
699C2×C4—181no—
700C2×C4—181no—
701C2×C4—181no—
702C2×C4—721no—
703C2×C4—721no—
704C2×C4—721no—
705C2×C4—721no—
706C2×C4C22×D3211yescharacteristic
707C8—21no—
708C8—61no—
709C8—61no—
710C8—181no—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—21no—
714C2×C3—241no—
715C2×C3#554711yescharacteristic
716C2×C3#560611yescharacteristic
717C2×C3#576611yescharacteristic
718C2×C3#576911yescharacteristic
719C2×C3#576911yescharacteristic
720C2×C3#577911yescharacteristic
721D3—81no—
722D3—121no—
723D3—122no—
724D3—121no—
725D3—122no—
726D3—241no—
727D3—242no—
728C22—121no—
729C22—121no—
730C22—121no—
731C22—182no—
732C22—181no—
733C22—181no—
734C22—181no—
735C22—361no—
736C22—361no—
737C22D32×D411yescharacteristic
738C4—22no—
739C4—41no—
740C4—61no—
741C4—61no—
742C4—61no—
743C4—61no—
744C4—121no—
745C4—121no—
746C4—121no—
747C4—181no—
748C4—361no—
749C4#6431211yescharacteristic
750C4C2×#380411yescharacteristic
751C3—21no—
752C3#7974911yescharacteristic, complemented
753C3#8057411yescharacteristic, complemented
754C2—241no—
755C2—361no—
756C2—362no—
757C2#1059476611yescharacteristic
758C2#1059477111yescharacteristic
759C2#1059513811yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×Q16C22
socleC22×C32C22×D4
prime radical#10591593C2
hypercenterC2×Q16D32
hypocenterC32#3124
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×Q16

Complements

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

NH ≅ G/Ntype
1. #10595395C2semidirect
2. #10595353C2semidirect
3. #10592886C2semidirect
4. C3×#5185C2semidirect
5. C3×Dic3×Q16C2semidirect
7. #10591568C2semidirect
8. #10591566C2semidirect
9. #10591555C2semidirect
10. #10591546C2semidirect
11. #10591540C2semidirect
12. #10590764C2semidirect
13. #10590745C2semidirect
14. #10590650C2semidirect
15. #10590648C2semidirect
70. #5185D3semidirect
71. Dic3×Q16D3semidirect
673. C32#3124semidirect
752. C3#79749semidirect
753. C3#80574semidirect

Maximal subgroups

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

subgroupindex
#105953952
#105953532
#105928862
C3×#51852
C3×Dic3×Q162
#105915932
#105915682
#105915662
#105915552
#105915462
#105915402
#105907642
#105907452
#105906502
#105906482
#805743
#797493