Finite Group Databasebeta

← #11872432

Subgroups — #11872432

Order 1152.

820 conjugacy classes of subgroups.

The subgroup lattice has 737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5625C211yesmaximal, characteristic, complemented
2#10594990C211yesmaximal, characteristic
3#10592746C211yesmaximal, characteristic
4C3×#5044C211yesmaximal, characteristic, complemented
5#10591575C211yesmaximal, characteristic, complemented
6#10591565C211yesmaximal, characteristic, complemented
7#10591541C211yesmaximal, characteristic, complemented
8#10591536C211yesmaximal, characteristic, complemented
9#10591184C211yesmaximal, characteristic
10#10591101C211yesmaximal, characteristic, complemented
11#10591056C211yesmaximal, characteristic, complemented
12#10590492C211yesmaximal, characteristic, complemented
13#10590481C211yesmaximal, characteristic, complemented
14#10590468C211yesmaximal, characteristic, complemented
15#10590457C211yesmaximal, characteristic, complemented
16#83446—31nomaximal
17#81456—31nomaximal
18C2×#3828C2211yescharacteristic
19C32×C22⋊Q8C2211yescharacteristic
20C2×#3756C2211yescharacteristic
21C2×#3755C2211yescharacteristic
22C3×Q8×Dic3C2211yescharacteristic
23C3×#944C2211yescharacteristic
24C3×#926C2211yescharacteristic
25C2×C3×C4⋊Dic3C2211yescharacteristic
26C3×#924C2211yescharacteristic
27C3×#890—21no—
28C3×#890C2211yescharacteristic
29C3×#889—21no—
30C3×#887C2211yescharacteristic
31C3×#879—21no—
32C3×#879—21no—
33#63952—21no—
34#63952—21no—
35#63900—21no—
36#63894C2211yescharacteristic
37#63894C2211yescharacteristic
38#63849—21no—
39#63844C2211yescharacteristic
40#63844C2211yescharacteristic
41C2×#3719C2211yescharacteristic
42C2×#3717C2211yescharacteristic
43#63657C2211yescharacteristic
44#63637C2211yescharacteristic
45#63636C2211yescharacteristic
46C3×#835C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#830C2211yescharacteristic
49C3×#807C2211yescharacteristic
50C3×#807C2211yescharacteristic
51#63574C2211yescharacteristic
52#63574C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63567C2211yescharacteristic
56#63565C2211yescharacteristic
57#63565C2211yescharacteristic
58#63564C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#541—31no—
62#5625D311yescharacteristic, complemented
63#5523—31no—
64#5504—31no—
65C3×#484—31no—
66#5090—31no—
67#5083—31no—
68#5066—31no—
69#5063—31no—
70#5047—31no—
71#5047—31no—
72#5047—31no—
73#5047—61no—
74#5044D311yescharacteristic, complemented
75#5043—31no—
76#5030—31no—
77C4×#216—31no—
78#5026—31no—
79C4×#215—31no—
80#5000—31no—
81#4971—31no—
82#4891—31no—
83#4889—31no—
84#4877—31no—
85#4873—31no—
86#4818—31no—
87#4795—31no—
88#4789—31no—
89#4788—31no—
90#4733—31no—
91#4720—31no—
92C2×C32×Q8C2311yescharacteristic
93C22×C32×C4C2311yescharacteristic
94C2×#638—21no—
95#3828—22no—
96#3828—22no—
97C2×C4⋊(C3⋊D3)C2311yescharacteristic
98C2×C4×C3⋊D3—21no—
99C2×#634C2311yescharacteristic
100C22×C3×Dic3—21no—
101C2×C3×Dic6C2311yescharacteristic
102C2×#624—21no—
103C2×#624—21no—
104C32×C4⋊C4—21no—
105C32×C4⋊C4C2311yescharacteristic
106C32×C22⋊C4—21no—
107#3756—22no—
108#3755—22no—
109C2×C3⋊(C3⋊C8)C2311yescharacteristic
110C2×C3⋊(C3⋊C8)C2311yescharacteristic
111C3×#217—21no—
112C3×#217D411yescharacteristic
113C3×#217D411yescharacteristic
114C3×C4⋊Dic3—21no—
115C3×C4⋊Dic3—21no—
116C3×C4⋊Dic3—21no—
117C3×C4⋊Dic3D411yescharacteristic
118C3×C4⋊Dic3D411yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
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×Dic3C2311yescharacteristic
130C3×C4×Dic3C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133#3724—21no—
134#3724—21no—
135#3722—21no—
136#3722—21no—
137Dic32—21no—
138Dic32—21no—
139#3719—22no—
140#3717—22no—
141#3120—91noSylow
142C2×#235—31no—
143C2×#235—31no—
144C2×#235—61no—
145C3×C4⋊Q8—31no—
146C3×#126—61no—
147C3×#126—61no—
148C3×#125—31no—
149C3×#125—61no—
150C3×#125—61no—
151C3×C22⋊Q8—21no—
152C3×C22⋊Q8—31no—
153C3×C22⋊Q8C2×D311yescharacteristic
154C3×C22⋊Q8C2×D311yescharacteristic
155C3×C4×Q8—31no—
156C3×C4×Q8—31no—
157C3×#117—31no—
158C2×C3×C4⋊C4—31no—
159Q8×Dic3C2×D311yescharacteristic
160#944C2×D311yescharacteristic
161C2×#216—31no—
162C2×#216—31no—
163C2×#216—31no—
164C2×#216—61no—
165C2×#215—31no—
166C2×#215—31no—
167C2×#215—31no—
168C2×#215—61no—
169C4×#67—61no—
170C4×#67—61no—
171#926C2×D311yescharacteristic
172C2×C4⋊Dic3C2×D311yescharacteristic
173#924C2×D311yescharacteristic
174C2×Dic12—31no—
175C2×#204—31no—
176#893—31no—
177#893—31no—
178#892—61no—
179#892—61no—
180D3×C4⋊C4—61no—
181D3×C4⋊C4—61no—
182#890—21no—
183#890C2×D311yescharacteristic
184#889—21no—
185#887—31no—
186#887—31no—
187#887C2×D311yescharacteristic
188#67⋊C4—61no—
189#67⋊C4—61no—
190#879—21no—
191#879—21no—
192C4×D12—31no—
193C4×D12—31no—
194C4×Dic6—31no—
195C4×Dic6—31no—
196C3×#107—31no—
197C3×#107—31no—
198C3×#103—31no—
199C3×#103—31no—
200C3×C22⋊C8—31no—
201#835—31no—
202#835—31no—
203#835C2×D311yescharacteristic
204#835C2×D311yescharacteristic
205#830—31no—
206#830—31no—
207#830—61no—
208#830C2×D311yescharacteristic
209#821—31no—
210#816—31no—
211#815—31no—
212Dic3⋊C8—31no—
213Dic3⋊C8—31no—
214C8×Dic3—31no—
215#810—31no—
216#810—31no—
217#810—31no—
218#810—31no—
219#810—31no—
220#810—61no—
221#809—31no—
222#809—31no—
223#809—31no—
224#809—61no—
225#808—31no—
226#808—31no—
227#808—31no—
228#808—31no—
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—
237C32×Q8—21no—
238C32×Q8—21no—
239C2×C32×C4—21no—
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2×D411yescharacteristic
244C2×C32×C4C2411yescharacteristic
245#638—24no—
246C2×C3⋊Dic3—21no—
247C4⋊(C3⋊D3)—21no—
248C4⋊(C3⋊D3)#4112yes—
249C4×C3⋊D3—24no—
250#634—21no—
251#634#4112yes—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—81no—
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C2×C3×Dic3C2×D411yescharacteristic
261C3×Dic6—21no—
262C3×Dic6—21no—
263#624—81no—
264#624—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—31no—
272#483—91no—
273#479—91no—
274#478—91no—
275#462—91no—
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—31no—
286C2×C3×Q8C22×D311yescharacteristic
287C2×C3×Q8C22×D311yescharacteristic
288C22×C3×C4—21no—
289C22×C3×C4—61no—
290C22×C3×C4C22×D311yescharacteristic
291C22×C3×C4C22×D311yescharacteristic
292C2×#67—61no—
293C2×#67—61no—
294C2×#67—121no—
295C22×Dic3—21no—
296#235—62no—
297#235—62no—
298#235—62no—
299#235—62no—
300#235—122no—
301#235—122no—
302C2×D12—31no—
303C2×D12—31no—
304C2×D12—61no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—121no—
312C2×Dic6—31no—
313C2×Dic6—31no—
314C2×Dic6—61no—
315C2×Dic6C22×D311yescharacteristic
316C2×C3×C8—31no—
317C2×C3×C8—31no—
318C3×C4⋊C4—21no—
319C3×C4⋊C4—21no—
320C3×C4⋊C4—21no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—31no—
323C3×C4⋊C4—31no—
324C3×C4⋊C4—31no—
325C3×C4⋊C4—31no—
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×C4⋊C4—61no—
335C3×C4⋊C4C22×D311yescharacteristic
336C3×C4⋊C4C22×D311yescharacteristic
337C3×C22⋊C4—21no—
338C3×C22⋊C4—21no—
339C3×C22⋊C4—31no—
340C3×C22⋊C4—31no—
341C3×C22⋊C4—41no—
342C3×C22⋊C4—61no—
343C3×C42—31no—
344C3×C42—31no—
345C3×C42—61no—
346C3×C42—61no—
347#217—21no—
348#217#6711yescharacteristic
349#217#6711yescharacteristic
350#216—62no—
351#216—62no—
352#216—62no—
353#216—122no—
354#215—62no—
355#215—62no—
356#215—62no—
357#215—122no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362C4⋊Dic3—21no—
363C4⋊Dic3—21no—
364C4⋊Dic3—21no—
365C4⋊Dic3#6711yescharacteristic
366C4⋊Dic3#6711yescharacteristic
367C4⋊Dic3C22×D311yescharacteristic
368C4⋊Dic3C22×D311yescharacteristic
369C4⋊Dic3C22×D311yescharacteristic
370Dic3⋊C4—21no—
371Dic3⋊C4—21no—
372Dic3⋊C4—21no—
373Dic3⋊C4—21no—
374Dic3⋊C4—21no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379C4×Dic3—21no—
380C4×Dic3—21no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3C22×D311yescharacteristic
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
395Dic12—62no—
396#204—62no—
397C22×C32—21no—
398C22×C32—21no—
399C22×C32—21no—
400C22×C32C22×D411yescharacteristic
401C2×C3⋊D3—22no—
402C2×C3⋊D3—41no—
403C2×C3⋊D3—41no—
404C32×C4—21no—
405C32×C4—41no—
406C32×C4—41no—
407C32×C4C2×#4111yescharacteristic
408C32×C4C2×#4111yescharacteristic
409C3⋊Dic3—22no—
410C3×Dic3—21no—
411C3×Dic3—21no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—41no—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C2×#41—91no—
419C2×Q16—91no—
420C2×Q16—91no—
421C2×SD16—91no—
422C2×SD16—91no—
423C4⋊Q8—31no—
424#126—61no—
425#126—61no—
426#125—31no—
427#125—61no—
428#125—61no—
429C22⋊Q8—31no—
430C22⋊Q8D3211yescharacteristic
431C4×Q8—31no—
432C4×Q8—31no—
433C4×Q8—91no—
434C4×Q8—91no—
435C4×D4—91no—
436C4×D4—91no—
437C4×D4—181no—
438C4×D4—181no—
439#117—31no—
440#117—181no—
441C2×C4⋊C4—31no—
442C2×C4⋊C4—181no—
443#107—31no—
444#107—31no—
445#106—91no—
446#106—91no—
447C4⋊C8—91no—
448C4⋊C8—91no—
449#103—31no—
450#103—31no—
451#103—91no—
452#103—91no—
453#103—91no—
454#103—91no—
455#102—91no—
456#102—91no—
457C22⋊C8—31no—
458C22⋊C8—91no—
459#97—91no—
460C4×C8—91no—
461C23×C3—21no—
462C23×C3D3×D411yescharacteristic
463C23×C3C2×#6711yescharacteristic
464C22×D3—61no—
465C22×D3—61no—
466C22×D3—121no—
467C3×Q8—21no—
468C3×Q8—21no—
469C3×Q8—21no—
470C3×Q8—21no—
471C3×Q8—41no—
472C3×Q8—41no—
473C3×Q8—61no—
474C3×Q8—61no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
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—31no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—31no—
489C2×C3×C4—41no—
490C2×C3×C4—41no—
491C2×C3×C4—41no—
492C2×C3×C4—41no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—241no—
498C2×C3×C4D3×D411yescharacteristic
499C2×C3×C4C2×#6711yescharacteristic
500C2×C3×C4C23×D311yescharacteristic
501C2×C3×C4C23×D311yescharacteristic
502#67—64no—
503#67—64no—
504#67—124no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—81no—
512C2×Dic3—121no—
513C2×Dic3C2×#6711yescharacteristic
514C2×Dic3C2×#6711yescharacteristic
515C2×Dic3C2×#6711yescharacteristic
516C2×Dic3C2×#6711yescharacteristic
517D12—32no—
518D12—32no—
519D12—62no—
520D12—61no—
521D12—61no—
522D12—121no—
523C4×D3—64no—
524C4×D3—64no—
525C4×D3—124no—
526C4×D3—241no—
527C4×D3—241no—
528C4×D3—241no—
529C4×D3—241no—
530Dic6—21no—
531Dic6—21no—
532Dic6—32no—
533Dic6—32no—
534Dic6—62no—
535Dic6—61no—
536Dic6—61no—
537Dic6—121no—
538C3×C8—61no—
539C3×C8—61no—
540C3⋊C8—21no—
541C3⋊C8—21no—
542C3⋊C8—61no—
543C3⋊C8—61no—
544C3⋊C8—61no—
545C3⋊C8—61no—
546C3⋊C8—121no—
547C3⋊C8—121no—
548C2×C32—41no—
549C2×C32#52511yescharacteristic
550C2×C32#57711yescharacteristic
551C2×C32#57811yescharacteristic
552C3⋊D3—42no—
553#41—182no—
554#41—182no—
555C2×Q8—31no—
556C2×Q8—91no—
557C2×Q8C2×D3211yescharacteristic
558C2×D4—91no—
559C2×D4—181no—
560C22×C4—61no—
561C22×C4—181no—
562C22×C4—181no—
563C22×C4—181no—
564C22×C4C2×D3211yescharacteristic
565Q16—182no—
566Q16—182no—
567SD16—182no—
568SD16—182no—
569C2×C8—31no—
570C2×C8—31no—
571C2×C8—91no—
572C2×C8—91no—
573C4⋊C4—21no—
574C4⋊C4—31no—
575C4⋊C4—31no—
576C4⋊C4—31no—
577C4⋊C4—31no—
578C4⋊C4—31no—
579C4⋊C4—61no—
580C4⋊C4—61no—
581C4⋊C4—61no—
582C4⋊C4—61no—
583C4⋊C4—61no—
584C4⋊C4—61no—
585C4⋊C4—61no—
586C4⋊C4—61no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4C2×D3211yescharacteristic
590C22⋊C4—21no—
591C22⋊C4—31no—
592C22⋊C4—31no—
593C22⋊C4—61no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C42—31no—
597C42—31no—
598C42—61no—
599C42—61no—
600C42—181no—
601C42—181no—
602C22×C3—21no—
603C22×C3—21no—
604C22×C3—21no—
605C22×C3—21no—
606C22×C3—21no—
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—41no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3C2×D3×D411yescharacteristic
613C22×C3C22×#6711yescharacteristic
614C2×D3—62no—
615C2×D3—62no—
616C2×D3—122no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—121no—
620C2×D3—121no—
621C2×D3—241no—
622C2×D3—241no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—21no—
627C3×C4—41no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4—41no—
631C3×C4—41no—
632C3×C4—61no—
633C3×C4—61no—
634C3×C4—61no—
635C3×C4—61no—
636C3×C4—81no—
637C3×C4—81no—
638C3×C4—121no—
639C3×C4—121no—
640C3×C4—121no—
641C3×C4—121no—
642C3×C4D3×#4111yescharacteristic
643C3×C4D3×#4111yescharacteristic
644C3×C4D3×#4111yescharacteristic
645C3×C4D3×#4111yescharacteristic
646Dic3—21no—
647Dic3—21no—
648Dic3—21no—
649Dic3—21no—
650Dic3—41no—
651Dic3—41no—
652Dic3—41no—
653Dic3—41no—
654Dic3—62no—
655Dic3—62no—
656Dic3—122no—
657C32#312011yescharacteristic, complemented, Sylow
658C23—181no—
659C23D3×#6711yescharacteristic
660Q8—21no—
661Q8—21no—
662Q8—61no—
663Q8—61no—
664Q8—92no—
665Q8—181no—
666D4—92no—
667D4—184no—
668D4—181no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—31no—
674C2×C4—31no—
675C2×C4—31no—
676C2×C4—31no—
677C2×C4—61no—
678C2×C4—61no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—184no—
682C2×C4—181no—
683C2×C4—241no—
684C2×C4—721no—
685C2×C4—721no—
686C2×C4D3×#6711yescharacteristic
687C2×C4C22×D3211yescharacteristic
688C8—61no—
689C8—61no—
690C8—181no—
691C8—181no—
692C2×C3—21no—
693C2×C3—21no—
694C2×C3—21no—
695C2×C3—41no—
696C2×C3—41no—
697C2×C3—81no—
698C2×C3#565611yescharacteristic
699C2×C3#576611yescharacteristic
700C2×C3#577511yescharacteristic
701C2×C3#582811yescharacteristic
702C2×C3#583711yescharacteristic
703C2×C3#583811yescharacteristic
704D3—122no—
705D3—122no—
706D3—242no—
707C22—21no—
708C22—21no—
709C22—21no—
710C22—182no—
711C22—361no—
712C22—361no—
713C22C2×D3×#6711yescharacteristic
714C4—21no—
715C4—41no—
716C4—41no—
717C4—61no—
718C4—61no—
719C4—61no—
720C4—61no—
721C4—121no—
722C4—121no—
723C4—121no—
724C4—121no—
725C4—182no—
726C4#6431211yescharacteristic
727C4#6431211yescharacteristic
728C3—21no—
729C3#8145611yescharacteristic, complemented
730C3#8344611yescharacteristic, complemented
731C2—41no—
732C2—362no—
733C2#1059515911yescharacteristic
734C2#1059532711yescharacteristic
735C2#1059545511yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊Q8C22
socleC22×C32C22×D4
prime radicalC2×#3828C22
hypercenterC22⋊Q8D32
hypocenterC32#3120
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C3×#5625C2semidirect
4. C3×#5044C2semidirect
5. #10591575C2semidirect
6. #10591565C2semidirect
7. #10591541C2semidirect
8. #10591536C2semidirect
10. #10591101C2semidirect
11. #10591056C2semidirect
12. #10590492C2semidirect
13. #10590481C2semidirect
14. #10590468C2semidirect
15. #10590457C2semidirect
62. #5625D3semidirect
74. #5044D3semidirect
657. C32#3120semidirect
729. C3#81456semidirect
730. C3#83446semidirect

Maximal subgroups

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

subgroupindex
C3×#56252
#105949902
#105927462
C3×#50442
#105915752
#105915652
#105915412
#105915362
#105911842
#105911012
#105910562
#105904922
#105904812
#105904682
#105904572
#834463
#814563