Finite Group Databasebeta

← #11872992

Subgroups — #11872992

Order 1152.

820 conjugacy classes of subgroups.

The subgroup lattice has 749 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5504C211yesmaximal, characteristic, complemented
2#10594983C211yesmaximal, characteristic, complemented
3#10592669C211yesmaximal, characteristic, complemented
4C3×#4967C211yesmaximal, characteristic, complemented
5#10591173C211yesmaximal, characteristic, complemented
6#10591161C211yesmaximal, characteristic
7#10591056C211yesmaximal, characteristic, complemented
8#10590590C211yesmaximal, characteristic, complemented
9#10590557C211yesmaximal, characteristic, complemented
10#10590555C211yesmaximal, characteristic, complemented
11#10590532C211yesmaximal, characteristic, complemented
12#10590530C211yesmaximal, characteristic, complemented
13#10590481C211yesmaximal, characteristic, complemented
14#10590454C211yesmaximal, characteristic, complemented
15#10590452C211yesmaximal, characteristic, complemented
16#82569—31nomaximal
17#81273—31nomaximal
18C2×C3×#235C2211yescharacteristic
19C2×C32×C4⋊C4C2211yescharacteristic
20#64133C2211yescharacteristic
21C3×#930C2211yescharacteristic
22C3×C4×#67—21no—
23C3×C4×#67—21no—
24C3×#926C2211yescharacteristic
25C3×#893C2211yescharacteristic
26C3×#893C2211yescharacteristic
27C3×#892—21no—
28C3×D3×C4⋊C4—21no—
29C3×#887C2211yescharacteristic
30C3×#887C2211yescharacteristic
31#63969—21no—
32#63959—21no—
33#63918C2211yescharacteristic
34#63899—21no—
35Dic3×D12C2211yescharacteristic
36#63860C2211yescharacteristic
37#63858—21no—
38#63844C2211yescharacteristic
39C2×#3719C2211yescharacteristic
40C2×#3716C2211yescharacteristic
41C2×#3715C2211yescharacteristic
42C2×#3713C2211yescharacteristic
43#63657C2211yescharacteristic
44#63637C2211yescharacteristic
45#63637C2211yescharacteristic
46#63634C2211yescharacteristic
47#63634C2211yescharacteristic
48C3×#830C2211yescharacteristic
49C3×#809C2211yescharacteristic
50C3×#809C2211yescharacteristic
51C3×#807C2211yescharacteristic
52C3×#807C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63566C2211yescharacteristic
56#63565C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#520—31no—
62#5603—31no—
63#5534—31no—
64#5504D311yescharacteristic, complemented
65C3×#480—31no—
66#5239—31no—
67#5238—31no—
68#5037—31no—
69C4×#216—31no—
70#5028—31no—
71#5026—31no—
72#5021—31no—
73#5018—31no—
74#5016—31no—
75C4×#213—31no—
76#5007—31no—
77#5000—31no—
78#4970—31no—
79#4970—31no—
80#4970—61no—
81#4967D311yescharacteristic, complemented
82#4890—31no—
83#4889—31no—
84#4875—31no—
85#4873—31no—
86#4787—31no—
87#4767—31no—
88#4757—31no—
89#4756—31no—
90#4733—31no—
91#4720—31no—
92C22×C32×C4—21no—
93C22×C32×C4C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C2×C3×#67—21no—
96C2×C3×#67—21no—
97C3×#235—22no—
98C3×#235—22no—
99C2×C3×D12C2311yescharacteristic
100C2×C3×D12C2311yescharacteristic
101C2×C3×C4×D3—21no—
102C2×C3×C4×D3—21no—
103C2×C3×C4×D3—21no—
104C2×C3×Dic6C2311yescharacteristic
105C2×#627—21no—
106C2×D3×Dic3—21no—
107C32×C4⋊C4—21no—
108C32×C4⋊C4C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110#3757—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C3×#217D411yescharacteristic
116C3×#217D411yescharacteristic
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3D411yescharacteristic
121C3×C4⋊Dic3D411yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3C2311yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131#3724—21no—
132Dic3⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136Dic32—21no—
137#3719—22no—
138#3716—22no—
139#3715—22no—
140#3713—22no—
141#3124—91noSylow
142C2×C3×#41—31no—
143C2×#235C2×D311yescharacteristic
144C3×#121—31no—
145C3×C4×Q8—31no—
146C3×C4×Q8—31no—
147C3×C4×D4—31no—
148C3×C4×D4—31no—
149C3×C4×D4—61no—
150C3×C4×D4—61no—
151C3×#117—31no—
152C3×#117—61no—
153C2×C3×C4⋊C4—21no—
154C2×C3×C4⋊C4—61no—
155C2×C3×C4⋊C4C2×D311yescharacteristic
156C2×C3×C4⋊C4C2×D311yescharacteristic
157C2×#216—31no—
158C2×#215—31no—
159#936—31no—
160#936—61no—
161#935—61no—
162D4×Dic3—31no—
163C2×#214—31no—
164C2×#214—31no—
165C2×#213—31no—
166C2×#213—31no—
167#930C2×D311yescharacteristic
168C4×#67—21no—
169C4×#67—21no—
170#926C2×D311yescharacteristic
171#924—31no—
172#924—31no—
173#924—61no—
174C2×Dic12—31no—
175C2×#204—31no—
176#898—61no—
177#896—61no—
178#893C2×D311yescharacteristic
179#893C2×D311yescharacteristic
180#892—21no—
181D3×C4⋊C4—21no—
182#888—31no—
183#887—31no—
184#887C2×D311yescharacteristic
185#887C2×D311yescharacteristic
186#885—61no—
187#883—61no—
188#879—61no—
189#878—61no—
190#875—31no—
191C4×D12—31no—
192#869—31no—
193C4×Dic6—31no—
194C3×#107—31no—
195C3×#107—31no—
196C3×#102—31no—
197C3×#102—31no—
198C3×C22⋊C8—31no—
199#835—31no—
200#835—31no—
201#832—31no—
202#832—31no—
203#830—31no—
204#830—31no—
205#830—61no—
206#830C2×D311yescharacteristic
207#821—31no—
208#816—31no—
209#815—31no—
210Dic3⋊C8—31no—
211Dic3⋊C8—31no—
212C8×Dic3—31no—
213#810—31no—
214#810—31no—
215#810—31no—
216#810—31no—
217#810—31no—
218#810—61no—
219#810—61no—
220#809—31no—
221#809C2×D311yescharacteristic
222#809C2×D311yescharacteristic
223#807—31no—
224#807—31no—
225#807—31no—
226#807—31no—
227#807—61no—
228#807—61no—
229#807C2×D311yescharacteristic
230#807C2×D311yescharacteristic
231C4⋊(C3⋊C8)—31no—
232C4⋊(C3⋊C8)—31no—
233#803—31no—
234C4×C3⋊C8—31no—
235C23×C32C2×D411yescharacteristic
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C2×C32×C4—21no—
239C2×C32×C4—21no—
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4—81no—
243C2×C32×C4C2×D411yescharacteristic
244C2×C32×C4C2411yescharacteristic
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247#634—21no—
248#634—21no—
249C3×#67—24no—
250C3×#67—81no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×D12—21no—
258C3×D12—21no—
259C3×D12—21no—
260C3×D12#4112yes—
261C3×C4×D3—24no—
262C3×C4×D3—81no—
263C3×C4×D3—81no—
264C3×Dic6—21no—
265C3×Dic6#4112yes—
266#627—81no—
267D3×Dic3—81no—
268C3⋊(C3⋊C8)—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#542—91no—
273#520—31no—
274#484—91no—
275#480—31no—
276#477—91no—
277#474—91no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—91no—
282#440—91no—
283#440—91no—
284C4×Q16—91no—
285C4×D8—91no—
286#433—91no—
287C3×#41—62no—
288C3×#41—62no—
289C2×C3×Q8—31no—
290C2×C3×D4—31no—
291C2×C3×D4—31no—
292C2×C3×D4—61no—
293C2×C3×D4—61no—
294C22×C3×C4—21no—
295C22×C3×C4—21no—
296C22×C3×C4—21no—
297C22×C3×C4—41no—
298C22×C3×C4—61no—
299C22×C3×C4—61no—
300C22×C3×C4—61no—
301C22×C3×C4C22×D311yescharacteristic
302C22×C3×C4C22×D311yescharacteristic
303C2×#67—21no—
304C2×#67—21no—
305C22×Dic3—61no—
306#235—22no—
307#235—22no—
308C2×D12C22×D311yescharacteristic
309C2×D12C22×D311yescharacteristic
310C2×C4×D3—21no—
311C2×C4×D3—21no—
312C2×C4×D3—21no—
313C2×C4×D3—61no—
314C2×Dic6—31no—
315C2×Dic6—31no—
316C2×Dic6—61no—
317C2×Dic6—61no—
318C2×Dic6—61no—
319C2×Dic6C22×D311yescharacteristic
320C2×C3×C8—31no—
321C2×C3×C8—31no—
322C3×C4⋊C4—21no—
323C3×C4⋊C4—21no—
324C3×C4⋊C4—21no—
325C3×C4⋊C4—21no—
326C3×C4⋊C4—31no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—31no—
329C3×C4⋊C4—41no—
330C3×C4⋊C4—61no—
331C3×C4⋊C4—61no—
332C3×C4⋊C4C22×D311yescharacteristic
333C3×C4⋊C4C22×D311yescharacteristic
334C3×C4⋊C4C22×D311yescharacteristic
335C3×C4⋊C4C22×D311yescharacteristic
336C3×C22⋊C4—31no—
337C3×C22⋊C4—31no—
338C3×C22⋊C4—61no—
339C3×C22⋊C4—61no—
340C3×C22⋊C4—61no—
341C3×C42—31no—
342C3×C42—31no—
343C3×C42—61no—
344C3×C42—61no—
345#217—61no—
346#217—61no—
347#217—61no—
348#217—61no—
349#217—61no—
350#217—121no—
351#217#6711yescharacteristic
352#217#6711yescharacteristic
353#216—62no—
354#215—62no—
355#214—62no—
356#214—62no—
357#213—62no—
358#213—62no—
359(C2×D3)⋊C4—21no—
360(C2×D3)⋊C4—21no—
361(C2×D3)⋊C4—21no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3#6711yescharacteristic
370C4⋊Dic3#6711yescharacteristic
371C4⋊Dic3C22×D311yescharacteristic
372Dic3⋊C4—21no—
373Dic3⋊C4—21no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—121no—
380C4×Dic3—21no—
381C4×Dic3—21no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3C22×D311yescharacteristic
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—
395#204—62no—
396C22×C32—21no—
397C22×C32—21no—
398C22×C32—21no—
399C22×C32C22×D411yescharacteristic
400C2×C3×D3—22no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C32×C4—21no—
407C32×C4—41no—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—41no—
412C3⋊Dic3—41no—
413C3×Dic3—22no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C2×#41—31no—
420C2×Q16—91no—
421C2×SD16—91no—
422C2×SD16—91no—
423C2×D8—91no—
424C4⋊Q8—91no—
425#126—181no—
426#124—91no—
427#124—181no—
428#123—181no—
429C22⋊Q8—91no—
430C22⋊Q8—181no—
431#121—31no—
432C4×Q8—31no—
433C4×Q8—31no—
434C4×Q8—91no—
435C4×D4—31no—
436C4×D4—31no—
437C4×D4—61no—
438C4×D4—61no—
439C4×D4—91no—
440#117—31no—
441#117—61no—
442C2×C4⋊C4—61no—
443C2×C4⋊C4D3211yescharacteristic
444#107—31no—
445#107—31no—
446#107—91no—
447#107—91no—
448C4⋊C8—91no—
449C4⋊C8—91no—
450#103—91no—
451#103—91no—
452#103—91no—
453#103—91no—
454#102—31no—
455#102—31no—
456#102—91no—
457#102—91no—
458C22⋊C8—31no—
459C22⋊C8—91no—
460#97—91no—
461C4×C8—91no—
462C23×C3—21no—
463C23×C3—61no—
464C23×C3—61no—
465C23×C3D3×D411yescharacteristic
466C23×C3C2×#6711yescharacteristic
467C22×D3—21no—
468C22×D3—21no—
469C3×Q8—32no—
470C3×Q8—61no—
471C3×D4—32no—
472C3×D4—64no—
473C3×D4—61no—
474C3×D4—61no—
475C3×D4—61no—
476C3×D4—241no—
477C2×C3×C4—21no—
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—21no—
486C2×C3×C4—21no—
487C2×C3×C4—31no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—41no—
492C2×C3×C4—41no—
493C2×C3×C4—41no—
494C2×C3×C4—41no—
495C2×C3×C4—64no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—81no—
499C2×C3×C4—81no—
500C2×C3×C4—82no—
501C2×C3×C4—241no—
502C2×C3×C4—241no—
503C2×C3×C4D3×D411yescharacteristic
504C2×C3×C4C2×#6711yescharacteristic
505C2×C3×C4C23×D311yescharacteristic
506C2×C3×C4C23×D311yescharacteristic
507#67—24no—
508#67—81no—
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—121no—
516C2×Dic3—121no—
517C2×Dic3—241no—
518C2×Dic3C2×#6711yescharacteristic
519C2×Dic3C2×#6711yescharacteristic
520C2×Dic3C2×#6711yescharacteristic
521C2×Dic3C2×#6711yescharacteristic
522D12—21no—
523D12—21no—
524D12—21no—
525D12#23512yes—
526C4×D3—24no—
527C4×D3—81no—
528C4×D3—81no—
529C4×D3—241no—
530Dic6—21no—
531Dic6—61no—
532Dic6—61no—
533Dic6—61no—
534Dic6—61no—
535Dic6—121no—
536Dic6—121no—
537Dic6—241no—
538Dic6—241no—
539Dic6#23512yes—
540C3×C8—61no—
541C3×C8—61no—
542C3⋊C8—21no—
543C3⋊C8—21no—
544C3⋊C8—61no—
545C3⋊C8—61no—
546C3⋊C8—61no—
547C3⋊C8—61no—
548C3⋊C8—121no—
549C3⋊C8—121no—
550C2×C32—41no—
551C2×C32#52511yescharacteristic
552C2×C32#57611yescharacteristic
553C2×C32#57811yescharacteristic
554C3×D3—42no—
555C3×D3—81no—
556#41—62no—
557#41—62no—
558C2×Q8—31no—
559C2×Q8—91no—
560C2×Q8—181no—
561C2×D4—31no—
562C2×D4—31no—
563C2×D4—61no—
564C2×D4—61no—
565C22×C4—21no—
566C22×C4—61no—
567C22×C4—61no—
568C22×C4—61no—
569C22×C4—181no—
570C22×C4C2×D3211yescharacteristic
571Q16—182no—
572SD16—182no—
573SD16—182no—
574D8—182no—
575C2×C8—31no—
576C2×C8—31no—
577C2×C8—91no—
578C2×C8—91no—
579C4⋊C4—21no—
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—61no—
584C4⋊C4—61no—
585C4⋊C4—91no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4C2×D3211yescharacteristic
590C4⋊C4C2×D3211yescharacteristic
591C22⋊C4—31no—
592C22⋊C4—31no—
593C22⋊C4—61no—
594C22⋊C4—61no—
595C22⋊C4—61no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C42—31no—
601C42—31no—
602C42—61no—
603C42—61no—
604C42—181no—
605C22×C3—22no—
606C22×C3—21no—
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—21no—
610C22×C3—21no—
611C22×C3—21no—
612C22×C3—21no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—62no—
616C22×C3—121no—
617C22×C3—121no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3C2×D3×D411yescharacteristic
622C22×C3C22×#6711yescharacteristic
623C2×D3—22no—
624C2×D3—41no—
625C2×D3—41no—
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—41no—
629C3×C4—21no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—41no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—41no—
638C3×C4—62no—
639C3×C4—61no—
640C3×C4—61no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—81no—
644C3×C4—81no—
645C3×C4—121no—
646C3×C4C2×#23511yescharacteristic
647C3×C4C2×#23511yescharacteristic
648C3×C4D3×#4111yescharacteristic
649C3×C4D3×#4111yescharacteristic
650Dic3—22no—
651Dic3—21no—
652Dic3—21no—
653Dic3—21no—
654Dic3—21no—
655Dic3—41no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—241no—
661Dic3—241no—
662C32#312411yescharacteristic, complemented, Sylow
663C23—61no—
664C23—61no—
665C23D3×#6711yescharacteristic
666Q8—32no—
667Q8—61no—
668Q8—181no—
669Q8—181no—
670Q8—721no—
671D4—32no—
672D4—64no—
673D4—61no—
674D4—61no—
675D4—61no—
676D4—241no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—31no—
685C2×C4—64no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—81no—
689C2×C4—181no—
690C2×C4—181no—
691C2×C4—241no—
692C2×C4—241no—
693C2×C4—721no—
694C2×C4D3×#6711yescharacteristic
695C2×C4C22×D3211yescharacteristic
696C8—61no—
697C8—61no—
698C8—181no—
699C8—181no—
700C2×C3—21no—
701C2×C3—21no—
702C2×C3—21no—
703C2×C3—42no—
704C2×C3—41no—
705C2×C3—41no—
706C2×C3—122no—
707C2×C3—241no—
708C2×C3#565611yescharacteristic
709C2×C3#575711yescharacteristic
710C2×C3#577911yescharacteristic
711C2×C3#579111yescharacteristic
712C2×C3#583511yescharacteristic
713C2×C3#583811yescharacteristic
714D3—42no—
715D3—81no—
716C22—21no—
717C22—21no—
718C22—21no—
719C22—62no—
720C22—121no—
721C22—121no—
722C22—121no—
723C22—121no—
724C22—121no—
725C22C2×D3×#6711yescharacteristic
726C4—21no—
727C4—41no—
728C4—41no—
729C4—61no—
730C4—61no—
731C4—61no—
732C4—61no—
733C4—62no—
734C4—121no—
735C4—361no—
736C4—361no—
737C4D3×#23511yescharacteristic
738C4D3×#23511yescharacteristic
739C3—21no—
740C3#8127311yescharacteristic, complemented
741C3#8256911yescharacteristic, complemented
742C2—41no—
743C2—122no—
744C2—241no—
745C2#1059489611yescharacteristic
746C2#1059509611yescharacteristic
747C2#1059532811yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×C4⋊C4C22
socleC22×C32C22×D4
prime radical#10591161C2
hypercenterC2×C4⋊C4D32
hypocenterC32#3124
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C3×#5504C2semidirect
2. #10594983C2semidirect
3. #10592669C2semidirect
4. C3×#4967C2semidirect
5. #10591173C2semidirect
7. #10591056C2semidirect
8. #10590590C2semidirect
9. #10590557C2semidirect
10. #10590555C2semidirect
11. #10590532C2semidirect
12. #10590530C2semidirect
13. #10590481C2semidirect
14. #10590454C2semidirect
15. #10590452C2semidirect
64. #5504D3semidirect
81. #4967D3semidirect
662. C32#3124semidirect
740. C3#81273semidirect
741. C3#82569semidirect

Maximal subgroups

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

subgroupindex
C3×#55042
#105949832
#105926692
C3×#49672
#105911732
#105911612
#105910562
#105905902
#105905572
#105905552
#105905322
#105905302
#105904812
#105904542
#105904522
#825693
#812733