Finite Group Databasebeta

← #11872495

Subgroups — #11872495

Order 1152.

804 conjugacy classes of subgroups.

The subgroup lattice has 729 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5731C211yesmaximal, characteristic, complemented
2#10593890C211yesmaximal, characteristic
3#10592782C211yesmaximal, characteristic, complemented
4C3×#5090C211yesmaximal, characteristic, complemented
5#10591657C211yesmaximal, characteristic
6#10591657C211yesmaximal, characteristic
7#10591576C211yesmaximal, characteristic, complemented
8Dic3×#216C211yesmaximal, characteristic, complemented
9#10591551C211yesmaximal, characteristic, complemented
10#10591549C211yesmaximal, characteristic, complemented
11#10591540C211yesmaximal, characteristic, complemented
12#10591536C211yesmaximal, characteristic, complemented
13#10590308C211yesmaximal, characteristic, complemented
14#10590286C211yesmaximal, characteristic, complemented
15#10590253C211yesmaximal, characteristic, complemented
16#83446—31nomaximal
17#80460—31nomaximal
18C2×#3799C2211yescharacteristic
19C32×C4⋊Q8C2211yescharacteristic
20C2×#3755C2211yescharacteristic
21C2×#3755C2211yescharacteristic
22C4×C4⋊(C3⋊D3)C2211yescharacteristic
23C3×#946C2211yescharacteristic
24C3×#946C2211yescharacteristic
25C3×Q8×Dic3C2211yescharacteristic
26C3×Q8×Dic3C2211yescharacteristic
27C2×C3×#216C2211yescharacteristic
28C2×C3×#216C2211yescharacteristic
29C3×#898—21no—
30C3×#898—21no—
31C3×#889—21no—
32C3×#889—21no—
33C3×#872C2211yescharacteristic
34C3×#870C2211yescharacteristic
35C3×C4×Dic6C2211yescharacteristic
36#63894C2211yescharacteristic
37D3×C4⋊Dic3C2211yescharacteristic
38#63883—21no—
39#63881—21no—
40#63880—21no—
41Dic3×Dic6C2211yescharacteristic
42#63836—21no—
43#63662C2211yescharacteristic
44#63662C2211yescharacteristic
45C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
46C3×#835C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×C4⋊(C3⋊C8)C2211yescharacteristic
49#63576C2211yescharacteristic
50#63575C2211yescharacteristic
51#63574C2211yescharacteristic
52#63573C2211yescharacteristic
53#63565C2211yescharacteristic
54#63565C2211yescharacteristic
55#63564C2211yescharacteristic
56#63564C2211yescharacteristic
57(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
58(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#541—31no—
62#5731D311yescharacteristic, complemented
63#5574—31no—
64#5523—31no—
65C3×#462—31no—
66#5187—31no—
67#5187—31no—
68#5184—31no—
69Dic3×Q16—31no—
70#5090D311yescharacteristic, complemented
71#5083—31no—
72#5083—31no—
73#5083—61no—
74#5066—31no—
75#5063—31no—
76#5047—31no—
77#5047—31no—
78#5044—31no—
79#5043—31no—
80#5030—31no—
81C4×#216—31no—
82#5026—31no—
83C4×#215—31no—
84#5022—31no—
85#5000—31no—
86#4847—31no—
87#4840—31no—
88#4817—31no—
89#4811—31no—
90#4805—31no—
91#4788—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×Q8C2311yescharacteristic
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C2×C4×C3⋊D3—21no—
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×#626—21no—
99C2×#624—21no—
100C2×#624—21no—
101C2×D3×Dic3—21no—
102#3799—22no—
103#3799—22no—
104C32×C4⋊C4—21no—
105C32×C4⋊C4—21no—
106C32×C42C2311yescharacteristic
107#3755—22no—
108#3755—22no—
109#3752—21no—
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111C2×C3⋊(C3⋊C8)C2311yescharacteristic
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C3×#216—22no—
114C3×#216—22no—
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4D411yescharacteristic
118C3×(C2×D3)⋊C4D411yescharacteristic
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4—21no—
127C3×Dic3⋊C4—21no—
128C3×Dic3⋊C4—21no—
129C3×Dic3⋊C4D411yescharacteristic
130C3×Dic3⋊C4D411yescharacteristic
131C3×C4×Dic3—21no—
132C3×C4×Dic3—21no—
133C3×C4×Dic3—21no—
134C3×C4×Dic3C2311yescharacteristic
135C2×C3×C3⋊C8C2311yescharacteristic
136C2×C3×C3⋊C8C2311yescharacteristic
137Dic3⋊Dic3—21no—
138Dic3⋊Dic3—21no—
139#3722—21no—
140Dic32—21no—
141#3120—91noSylow
142C2×#239—31no—
143C2×#235—31no—
144C2×C3×Q16—31no—
145C2×C3×Q16—31no—
146C3×C4⋊Q8—21no—
147C3×C4⋊Q8C2×D311yescharacteristic
148C3×C4⋊Q8C2×D311yescharacteristic
149C3×#126—61no—
150C3×#126—61no—
151C3×#125—31no—
152C3×#125—61no—
153C3×#125—61no—
154C3×C22⋊Q8—31no—
155C3×C22⋊Q8—31no—
156C3×C4×Q8—31no—
157C3×C4×Q8—31no—
158C3×C4×Q8—31no—
159C3×#117—31no—
160#946C2×D311yescharacteristic
161#946C2×D311yescharacteristic
162Q8×Dic3—31no—
163Q8×Dic3C2×D311yescharacteristic
164Q8×Dic3C2×D311yescharacteristic
165C2×#216C2×D311yescharacteristic
166C2×#216C2×D311yescharacteristic
167C2×#215—31no—
168C2×#215—31no—
169C2×#215—31no—
170C2×#215—31no—
171C2×#215—61no—
172C2×#215—61no—
173C2×C4⋊Dic3—31no—
174#898—21no—
175#898—21no—
176#893—31no—
177#893—61no—
178#892—61no—
179D3×C4⋊C4—31no—
180D3×C4⋊C4—61no—
181D3×C4⋊C4—61no—
182#889—21no—
183#889—21no—
184#67⋊C4—61no—
185#67⋊C4—61no—
186C4×D12—31no—
187C4×D12—31no—
188C4×D12—31no—
189C4×D12—61no—
190C4×D12—61no—
191#872—61no—
192#872C2×D311yescharacteristic
193#870C2×D311yescharacteristic
194C4×Dic6—31no—
195C4×Dic6C2×D311yescharacteristic
196C3×C4⋊C8—31no—
197C3×#103—31no—
198C3×#103—31no—
199#835—31no—
200#835—31no—
201#835—31no—
202#835—31no—
203#835—31no—
204#835—31no—
205#835—61no—
206#835—61no—
207#835C2×D311yescharacteristic
208#835C2×D311yescharacteristic
209#830—31no—
210#830—31no—
211#821—31no—
212#821—31no—
213(C2×D3)⋊C8—31no—
214(C2×D3)⋊C8—31no—
215#818—31no—
216#817—31no—
217#815—31no—
218C8×Dic3—31no—
219#810—31no—
220#810—31no—
221#809—31no—
222#809—31no—
223#808—31no—
224#808—31no—
225#808—31no—
226#807—31no—
227#807—31no—
228#807—31no—
229C4⋊(C3⋊C8)—31no—
230C4⋊(C3⋊C8)—31no—
231C4⋊(C3⋊C8)—61no—
232C4⋊(C3⋊C8)C2×D311yescharacteristic
233#803—31no—
234C4×C3⋊C8—31no—
235C22×C3⋊D3—21no—
236C22×C3×D3C2×D411yescharacteristic
237C32×Q8—21no—
238C32×Q8—21no—
239C32×Q8—21no—
240C32×Q8—21no—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2×D411yescharacteristic
244C2×C32×C4C2×D411yescharacteristic
245C2×C32×C4C2411yescharacteristic
246C2×C3⋊Dic3—21no—
247C4⋊(C3⋊D3)—21no—
248C4⋊(C3⋊D3)#4112yes—
249C4×C3⋊D3—81no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×C4×D3—21no—
258C3×C4×D3—21no—
259C3×Dic6—21no—
260C3×Dic6#4112yes—
261#626—24no—
262#624—24no—
263#624—81no—
264D3×Dic3—81no—
265C3⋊(C3⋊C8)—21no—
266C3⋊(C3⋊C8)—21no—
267C3×C3⋊C8—21no—
268C3×C3⋊C8—21no—
269#541—31no—
270#520—91no—
271#484—91no—
272#483—91no—
273#479—91no—
274#478—91no—
275#462—31no—
276#461—91no—
277#452—91no—
278#452—91no—
279#441—91no—
280#440—91no—
281C4×Q16—91no—
282C4×SD16—91no—
283#433—91no—
284C2×C3×Q8—21no—
285C2×C3×Q8—21no—
286C2×C3×Q8—31no—
287C2×C3×Q8C22×D311yescharacteristic
288C2×C3×Q8C22×D311yescharacteristic
289C2×C3×Q8C22×D311yescharacteristic
290C2×C3×Q8C22×D311yescharacteristic
291C22×C3×C4—31no—
292C2×#67—61no—
293C22×Dic3—61no—
294#239—62no—
295#239—62no—
296#235—62no—
297#235—62no—
298C2×D12—31no—
299C2×D12—31no—
300C2×D12—61no—
301C2×D12—61no—
302C2×C4×D3—61no—
303C2×C4×D3—61no—
304C2×C4×D3—61no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—121no—
310C2×C4×D3C22×D311yescharacteristic
311C2×Dic6C22×D311yescharacteristic
312C3×Q16—62no—
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—21no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—31no—
323C3×C4⋊C4—31no—
324C3×C4⋊C4—31no—
325C3×C4⋊C4—41no—
326C3×C4⋊C4—41no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4—61no—
329C3×C4⋊C4—61no—
330C3×C4⋊C4—61no—
331C3×C4⋊C4—61no—
332C3×C4⋊C4—61no—
333C3×C4⋊C4—61no—
334C3×C22⋊C4—31no—
335C3×C22⋊C4—31no—
336C3×C22⋊C4—61no—
337C3×C22⋊C4—61no—
338C3×C42—21no—
339C3×C42—31no—
340C3×C42—61no—
341C3×C42—61no—
342C3×C42—61no—
343C3×C42C22×D311yescharacteristic
344C3×C42C22×D311yescharacteristic
345#216—22no—
346#216—22no—
347#215—62no—
348#215—62no—
349#215—62no—
350#215—62no—
351#215—122no—
352#215—122no—
353(C2×D3)⋊C4—21no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—121no—
360(C2×D3)⋊C4#6711yescharacteristic
361(C2×D3)⋊C4#6711yescharacteristic
362C4⋊Dic3—21no—
363C4⋊Dic3—21no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3C22×D311yescharacteristic
370C4⋊Dic3C22×D311yescharacteristic
371C4⋊Dic3C22×D311yescharacteristic
372Dic3⋊C4—21no—
373Dic3⋊C4—21no—
374Dic3⋊C4—21no—
375Dic3⋊C4—21no—
376Dic3⋊C4—21no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4#6711yescharacteristic
380Dic3⋊C4#6711yescharacteristic
381C4×Dic3—21no—
382C4×Dic3—21no—
383C4×Dic3—21no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3C22×D311yescharacteristic
387C2×C3⋊C8—31no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—31no—
391C2×C3⋊C8—61no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395C22×C32C22×D411yescharacteristic
396C2×C3⋊D3—22no—
397C2×C3⋊D3—41no—
398C2×C3⋊D3—41no—
399C2×C3×D3—21no—
400C2×C3×D3—21no—
401C2×C3×D3—21no—
402C32×C4—21no—
403C32×C4—21no—
404C32×C4—41no—
405C32×C4—41no—
406C32×C4C2×#4111yescharacteristic
407C32×C4C2×#4111yescharacteristic
408C3⋊Dic3—41no—
409C3×Dic3—21no—
410C3×Dic3—22no—
411C3×Dic3—21no—
412C3×Dic3—21no—
413C3×Dic3—41no—
414C3×Dic3—41no—
415C3×Dic3—41no—
416C2×#41—91no—
417C2×Q16—31no—
418C2×Q16—31no—
419C2×SD16—91no—
420C2×SD16—91no—
421C4⋊Q8D3211yescharacteristic
422#126—61no—
423#126—61no—
424#125—31no—
425#125—61no—
426#125—61no—
427C22⋊Q8—31no—
428C22⋊Q8—31no—
429C4×Q8—31no—
430C4×Q8—31no—
431C4×Q8—31no—
432C4×Q8—91no—
433C4×D4—91no—
434C4×D4—91no—
435C4×D4—181no—
436C4×D4—181no—
437#117—31no—
438#117—181no—
439C2×C4⋊C4—91no—
440C2×C4⋊C4—181no—
441#107—91no—
442#107—91no—
443#106—91no—
444#106—91no—
445C4⋊C8—31no—
446C4⋊C8—91no—
447#103—31no—
448#103—31no—
449#103—91no—
450#103—91no—
451#103—91no—
452#103—91no—
453#102—91no—
454#102—91no—
455C22⋊C8—91no—
456C22⋊C8—91no—
457#97—91no—
458C4×C8—91no—
459C23×C3—31no—
460C22×D3—61no—
461C22×D3—61no—
462C22×D3—121no—
463C22×D3C2×#6711yescharacteristic
464C3×Q8—21no—
465C3×Q8—21no—
466C3×Q8—21no—
467C3×Q8—21no—
468C3×Q8—21no—
469C3×Q8—21no—
470C3×Q8—21no—
471C3×Q8—21no—
472C3×Q8—32no—
473C3×Q8—41no—
474C3×Q8—41no—
475C3×Q8—41no—
476C3×Q8—41no—
477C3×Q8—61no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—41no—
489C2×C3×C4—41no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4D3×D411yescharacteristic
497C2×C3×C4D3×D411yescharacteristic
498C2×C3×C4C2×#6711yescharacteristic
499C2×C3×C4C2×#6711yescharacteristic
500C2×C3×C4C23×D311yescharacteristic
501C2×C3×C4C23×D311yescharacteristic
502#67—64no—
503C2×Dic3—21no—
504C2×Dic3—21no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—121no—
510C2×Dic3—241no—
511C2×Dic3C2×#6711yescharacteristic
512C2×Dic3C2×#6711yescharacteristic
513C2×Dic3C2×#6711yescharacteristic
514D12—32no—
515D12—32no—
516D12—62no—
517D12—64no—
518D12—61no—
519D12—61no—
520D12—121no—
521C4×D3—21no—
522C4×D3—21no—
523C4×D3—64no—
524C4×D3—64no—
525C4×D3—241no—
526C4×D3—241no—
527C4×D3—241no—
528C4×D3—241no—
529C4×D3—241no—
530C4×D3—242no—
531Dic6—21no—
532Dic6#23712yes—
533C3×C8—61no—
534C3×C8—61no—
535C3⋊C8—21no—
536C3⋊C8—21no—
537C3⋊C8—61no—
538C3⋊C8—61no—
539C3⋊C8—61no—
540C3⋊C8—61no—
541C3⋊C8—121no—
542C3⋊C8—121no—
543C2×C32#52511yescharacteristic
544C2×C32#57711yescharacteristic
545C2×C32#57811yescharacteristic
546C3⋊D3—42no—
547C3×D3—41no—
548#41—182no—
549#41—182no—
550C2×Q8—31no—
551C2×Q8C2×D3211yescharacteristic
552C2×Q8C2×D3211yescharacteristic
553C2×D4—91no—
554C2×D4—181no—
555C22×C4—31no—
556C22×C4—181no—
557C22×C4—181no—
558C22×C4—181no—
559C22×C4—181no—
560Q16—62no—
561Q16—62no—
562SD16—182no—
563SD16—182no—
564C2×C8—31no—
565C2×C8—31no—
566C2×C8—91no—
567C2×C8—91no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—31no—
571C4⋊C4—31no—
572C4⋊C4—31no—
573C4⋊C4—31no—
574C4⋊C4—31no—
575C4⋊C4—61no—
576C4⋊C4—61no—
577C4⋊C4—61no—
578C4⋊C4—61no—
579C4⋊C4—61no—
580C4⋊C4—61no—
581C4⋊C4—61no—
582C4⋊C4—91no—
583C4⋊C4—181no—
584C4⋊C4—181no—
585C22⋊C4—31no—
586C22⋊C4—31no—
587C22⋊C4—61no—
588C22⋊C4—61no—
589C22⋊C4—181no—
590C22⋊C4—181no—
591C42—31no—
592C42—61no—
593C42—61no—
594C42—61no—
595C42—181no—
596C42C2×D3211yescharacteristic
597C22×C3—21no—
598C22×C3—61no—
599C22×C3—61no—
600C22×C3—61no—
601C22×C3C2×D3×D411yescharacteristic
602C22×C3C22×#6711yescharacteristic
603C2×D3—21no—
604C2×D3—21no—
605C2×D3—21no—
606C2×D3—62no—
607C2×D3—62no—
608C2×D3—122no—
609C2×D3—121no—
610C2×D3—121no—
611C2×D3—121no—
612C2×D3—121no—
613C2×D3—241no—
614C2×D3—241no—
615C3×C4—22no—
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—21no—
619C3×C4—21no—
620C3×C4—21no—
621C3×C4—21no—
622C3×C4—41no—
623C3×C4—41no—
624C3×C4—41no—
625C3×C4—41no—
626C3×C4—41no—
627C3×C4—61no—
628C3×C4—61no—
629C3×C4—62no—
630C3×C4—61no—
631C3×C4—81no—
632C3×C4—81no—
633C3×C4—121no—
634C3×C4—121no—
635C3×C4—121no—
636C3×C4C2×#23711yescharacteristic
637C3×C4D3×#4111yescharacteristic
638C3×C4D3×#4111yescharacteristic
639C3×C4D3×#4111yescharacteristic
640Dic3—21no—
641Dic3—21no—
642Dic3—21no—
643Dic3—22no—
644Dic3—41no—
645Dic3—41no—
646Dic3—41no—
647Dic3—121no—
648Dic3—121no—
649Dic3—241no—
650C32#312011yescharacteristic, complemented, Sylow
651C23—31no—
652C23—181no—
653Q8—21no—
654Q8—21no—
655Q8—21no—
656Q8—21no—
657Q8—32no—
658Q8—61no—
659D4—92no—
660D4—184no—
661D4—181no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—31no—
665C2×C4—31no—
666C2×C4—31no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—184no—
674C2×C4—181no—
675C2×C4—721no—
676C2×C4—721no—
677C2×C4—721no—
678C2×C4D3×#6711yescharacteristic
679C2×C4D3×#6711yescharacteristic
680C2×C4C22×D3211yescharacteristic
681C8—61no—
682C8—61no—
683C8—181no—
684C8—181no—
685C2×C3—21no—
686C2×C3—21no—
687C2×C3—21no—
688C2×C3—121no—
689C2×C3#560611yescharacteristic
690C2×C3#576611yescharacteristic
691C2×C3#577811yescharacteristic
692C2×C3#582811yescharacteristic
693C2×C3#583711yescharacteristic
694C2×C3#583811yescharacteristic
695D3—41no—
696D3—122no—
697D3—122no—
698D3—242no—
699C22—61no—
700C22—61no—
701C22—61no—
702C22—182no—
703C22—361no—
704C22—361no—
705C22C2×D3×#6711yescharacteristic
706C4—21no—
707C4—21no—
708C4—41no—
709C4—41no—
710C4—61no—
711C4—62no—
712C4—61no—
713C4—61no—
714C4—121no—
715C4—121no—
716C4—121no—
717C4—361no—
718C4D3×#23711yescharacteristic
719C4#6431211yescharacteristic
720C3—21no—
721C3#8046011yescharacteristic, complemented
722C3#8344611yescharacteristic, complemented
723C2—121no—
724C2—362no—
725C2#1059530111yescharacteristic
726C2#1059531911yescharacteristic
727C2#1059532711yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊Q8C22
socleC22×C32C22×D4
prime radicalC2×#3799C22
hypercenterC4⋊Q8D32
hypocenterC32#3120
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊Q8

Complements

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

NH ≅ G/Ntype
1. C3×#5731C2semidirect
3. #10592782C2semidirect
4. C3×#5090C2semidirect
7. #10591576C2semidirect
8. Dic3×#216C2semidirect
9. #10591551C2semidirect
10. #10591549C2semidirect
11. #10591540C2semidirect
12. #10591536C2semidirect
13. #10590308C2semidirect
14. #10590286C2semidirect
15. #10590253C2semidirect
62. #5731D3semidirect
70. #5090D3semidirect
650. C32#3120semidirect
721. C3#80460semidirect
722. C3#83446semidirect

Maximal subgroups

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

subgroupindex
C3×#57312
#105938902
#105927822
C3×#50902
#105916572
#105915762
Dic3×#2162
#105915512
#105915492
#105915402
#105915362
#105903082
#105902862
#105902532
#834463
#804603