Finite Group Databasebeta

← #11872456

Subgroups — #11872456

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×#5546C211yesmaximal, characteristic
2#10593881C211yesmaximal, characteristic, complemented
3#10592718C211yesmaximal, characteristic, complemented
4C3×#5009C211yesmaximal, characteristic, complemented
5#10591463C211yesmaximal, characteristic
6#10591463C211yesmaximal, characteristic
7#10591405C211yesmaximal, characteristic, complemented
8#10591401C211yesmaximal, characteristic, complemented
9#10590481C211yesmaximal, characteristic, complemented
10#10590480C211yesmaximal, characteristic, complemented
11#10590427C211yesmaximal, characteristic, complemented
12#10590426C211yesmaximal, characteristic, complemented
13#10590385C211yesmaximal, characteristic, complemented
14#10590286C211yesmaximal, characteristic, complemented
15#10590253C211yesmaximal, characteristic, complemented
16#82575—31nomaximal
17#81145—31nomaximal
18C2×C3×#237C2211yescharacteristic
19C32×C4×D4C2211yescharacteristic
20C2×#3754C2211yescharacteristic
21C2×#3754C2211yescharacteristic
22#64078C2211yescharacteristic
23C3×D4×Dic3C2211yescharacteristic
24C3×C4×#67—21no—
25C2×C3×Dic3⋊C4—21no—
26C3×D3×C4⋊C4C2211yescharacteristic
27C3×#887C2211yescharacteristic
28C3×#67⋊C4—21no—
29C3×#877—21no—
30C3×#872C2211yescharacteristic
31C3×#870C2211yescharacteristic
32C3×C4×Dic6C2211yescharacteristic
33#63861—21no—
34#63861—21no—
35#63857C2211yescharacteristic
36#63857C2211yescharacteristic
37#63845—21no—
38#63845—21no—
39#63844C2211yescharacteristic
40#63844C2211yescharacteristic
41C2×#3719C2211yescharacteristic
42C2×#3719C2211yescharacteristic
43#63637C2211yescharacteristic
44#63637C2211yescharacteristic
45C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
46C3×#832C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#808C2211yescharacteristic
49C3×#807C2211yescharacteristic
50C3×C4⋊(C3⋊C8)C2211yescharacteristic
51#63576C2211yescharacteristic
52#63574C2211yescharacteristic
53#63567C2211yescharacteristic
54#63567C2211yescharacteristic
55#63565C2211yescharacteristic
56#63565C2211yescharacteristic
57(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
58(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#520—31no—
62#5698—31no—
63#5546D311yescharacteristic
64#5518—31no—
65C3×#478—31no—
66#5239—31no—
67#5239—31no—
68#5063—31no—
69#5031—31no—
70#5030—31no—
71C4×#216—31no—
72#5022—31no—
73#5019—31no—
74#5019—31no—
75#5019—61no—
76#5018—31no—
77C4×#214—31no—
78#5009D311yescharacteristic, complemented
79#5000—31no—
80#4971—31no—
81#4970—31no—
82#4884—31no—
83#4873—31no—
84#4862—31no—
85#4853—31no—
86#4849—31no—
87#4840—31no—
88#4783—31no—
89#4783—31no—
90#4758—31no—
91#4757—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C32×C4—21no—
94C2×#634C2311yescharacteristic
95C2×#634C2311yescharacteristic
96C2×C3×#67—21no—
97C22×C3×Dic3—21no—
98C22×C3×Dic3—21no—
99C3×#237—22no—
100C3×#237—22no—
101C2×C3×C4×D3—21no—
102C2×C3×C4×D3C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C32×C4⋊C4C2311yescharacteristic
105C32×C22⋊C4—21no—
106C32×C42C2311yescharacteristic
107#3754—22no—
108#3754—22no—
109C4⋊(C3⋊Dic3)—21no—
110C4⋊(C3⋊Dic3)—21no—
111C2×C3⋊(C3⋊C8)C2311yescharacteristic
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C3×#217—21no—
114C3×(C2×D3)⋊C4D411yescharacteristic
115C3×(C2×D3)⋊C4D411yescharacteristic
116C3×C4⋊Dic3C2311yescharacteristic
117C3×C4⋊Dic3C2311yescharacteristic
118C3×C4⋊Dic3C2311yescharacteristic
119C3×Dic3⋊C4—21no—
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4D411yescharacteristic
125C3×Dic3⋊C4D411yescharacteristic
126C3×C4×Dic3—21no—
127C3×C4×Dic3—21no—
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131#3724—21no—
132#3724—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32—21no—
139#3719—22no—
140#3719—22no—
141#3120—91noSylow
142C2×C3×#41—31no—
143C2×#237C2×D311yescharacteristic
144C3×#125—31no—
145C3×C4×Q8—31no—
146C3×C4×Q8—31no—
147C3×C4×D4—21no—
148C3×C4×D4—31no—
149C3×C4×D4—61no—
150C3×C4×D4—61no—
151C3×C4×D4C2×D311yescharacteristic
152C3×C4×D4C2×D311yescharacteristic
153C3×#117—31no—
154C3×#117—61no—
155C2×C3×C4⋊C4—31no—
156C2×C3×C4⋊C4—61no—
157C2×#216—31no—
158C2×#216—31no—
159D4×Dic3C2×D311yescharacteristic
160C2×#214—31no—
161C2×#214—31no—
162C2×#214—31no—
163C2×#214—31no—
164C2×#214—61no—
165C2×#214—61no—
166C4×#67—21no—
167#924—31no—
168#924—31no—
169C2×Dic3⋊C4—21no—
170C2×Dic12—31no—
171C2×Dic12—31no—
172#898—61no—
173#898—61no—
174#897—31no—
175#897—31no—
176D3×C4⋊C4C2×D311yescharacteristic
177#890—61no—
178#890—61no—
179#889—61no—
180#889—61no—
181#887—31no—
182#887—31no—
183#887C2×D311yescharacteristic
184#67⋊C4—21no—
185#879—61no—
186#879—61no—
187#877—21no—
188#872C2×D311yescharacteristic
189#870C2×D311yescharacteristic
190#869—31no—
191#869—31no—
192#869—61no—
193C4×Dic6—31no—
194C4×Dic6—31no—
195C4×Dic6C2×D311yescharacteristic
196C3×#107—31no—
197C3×#106—31no—
198C3×C4⋊C8—31no—
199C3×#102—31no—
200C3×#102—31no—
201#835—31no—
202#835—31no—
203#832C2×D311yescharacteristic
204#832C2×D311yescharacteristic
205#830—31no—
206#830—31no—
207(C2×D3)⋊C8—31no—
208(C2×D3)⋊C8—31no—
209#816—31no—
210#816—31no—
211#815—31no—
212C8×Dic3—31no—
213#810—31no—
214#810—31no—
215#810—31no—
216#810—31no—
217#810—31no—
218#810—31no—
219#810—31no—
220#810—31no—
221#810—61no—
222#810—61no—
223#808—31no—
224#808—31no—
225#808C2×D311yescharacteristic
226#807—31no—
227#807—31no—
228#807C2×D311yescharacteristic
229C4⋊(C3⋊C8)—31no—
230C4⋊(C3⋊C8)—31no—
231C4⋊(C3⋊C8)—61no—
232C4⋊(C3⋊C8)C2×D311yescharacteristic
233#803—31no—
234C4×C3⋊C8—31no—
235C23×C32—21no—
236C22×C3×D3C2×D411yescharacteristic
237C32×D4—21no—
238C32×D4#4112yes—
239C2×C32×C4—21no—
240C2×C32×C4—81no—
241C2×C32×C4C2×D411yescharacteristic
242C2×C32×C4C2×D411yescharacteristic
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246#634—21no—
247#634—21no—
248#634—21no—
249#634—21no—
250C3×#67—24no—
251C2×C3×Dic3—24no—
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
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262C3×C4×D3—81no—
263C3×Dic6—21no—
264C3×Dic6#4112yes—
265C3⋊(C3⋊C8)—21no—
266C3⋊(C3⋊C8)—21no—
267C3×C3⋊C8—21no—
268C3×C3⋊C8—21no—
269#541—91no—
270#520—31no—
271#484—91no—
272#483—91no—
273#479—91no—
274#478—31no—
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—
284C3×#41—62no—
285C3×#41—62no—
286C2×C3×Q8—31no—
287C2×C3×D4—21no—
288C2×C3×D4—61no—
289C2×C3×D4C22×D311yescharacteristic
290C2×C3×D4C22×D311yescharacteristic
291C22×C3×C4—21no—
292C22×C3×C4—21no—
293C22×C3×C4—31no—
294C22×C3×C4—41no—
295C22×C3×C4—61no—
296C22×C3×C4—61no—
297C22×C3×C4—61no—
298C2×#67—21no—
299C22×Dic3—21no—
300C22×Dic3—21no—
301#237—22no—
302#237—22no—
303C2×C4×D3—21no—
304C2×C4×D3C22×D311yescharacteristic
305C2×Dic6—31no—
306C2×Dic6—31no—
307C2×Dic6—31no—
308C2×Dic6—31no—
309C2×Dic6—61no—
310C2×Dic6—61no—
311C2×Dic6C22×D311yescharacteristic
312C2×C3×C8—31no—
313C2×C3×C8—31no—
314C3×C4⋊C4—21no—
315C3×C4⋊C4—31no—
316C3×C4⋊C4—31no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—61no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4C22×D311yescharacteristic
326C3×C4⋊C4C22×D311yescharacteristic
327C3×C22⋊C4—21no—
328C3×C22⋊C4—21no—
329C3×C22⋊C4—31no—
330C3×C22⋊C4—31no—
331C3×C22⋊C4—41no—
332C3×C22⋊C4—61no—
333C3×C42—21no—
334C3×C42—31no—
335C3×C42—61no—
336C3×C42—61no—
337C3×C42C22×D311yescharacteristic
338C3×C42C22×D311yescharacteristic
339#217—21no—
340#217—61no—
341#217—61no—
342#216—62no—
343#216—62no—
344#214—62no—
345#214—62no—
346#214—62no—
347#214—62no—
348#214—122no—
349#214—122no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4#6711yescharacteristic
353(C2×D3)⋊C4#6711yescharacteristic
354C4⋊Dic3—61no—
355C4⋊Dic3—61no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3—121no—
361C4⋊Dic3—121no—
362C4⋊Dic3C22×D311yescharacteristic
363C4⋊Dic3C22×D311yescharacteristic
364C4⋊Dic3C22×D311yescharacteristic
365Dic3⋊C4—21no—
366Dic3⋊C4—21no—
367Dic3⋊C4—21no—
368Dic3⋊C4—21no—
369Dic3⋊C4—21no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4#6711yescharacteristic
377Dic3⋊C4#6711yescharacteristic
378C4×Dic3—21no—
379C4×Dic3—21no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3C22×D311yescharacteristic
385C2×C3⋊C8—31no—
386C2×C3⋊C8—31no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—61no—
390C2×C3⋊C8—61no—
391C2×C3⋊C8C22×D311yescharacteristic
392C2×C3⋊C8C22×D311yescharacteristic
393Dic12—62no—
394Dic12—62no—
395C22×C32—22no—
396C22×C32—41no—
397C22×C32—41no—
398C22×C32C22×D411yescharacteristic
399C2×C3×D3—21no—
400C2×C3×D3—21no—
401C2×C3×D3—21no—
402C32×C4—21no—
403C32×C4—21no—
404C32×C4—41no—
405C32×C4C2×#4111yescharacteristic
406C32×C4C2×#4111yescharacteristic
407C3⋊Dic3—41no—
408C3⋊Dic3—41no—
409C3×Dic3—22no—
410C3×Dic3—21no—
411C3×Dic3—21no—
412C3×Dic3—21no—
413C3×Dic3—41no—
414C3×Dic3—41no—
415C3×Dic3—41no—
416C2×#41—31no—
417C2×Q16—91no—
418C2×Q16—91no—
419C2×SD16—91no—
420C2×SD16—91no—
421C4⋊Q8—91no—
422#126—181no—
423#126—181no—
424#125—31no—
425#125—181no—
426#125—181no—
427C22⋊Q8—91no—
428C22⋊Q8—91no—
429C4×Q8—31no—
430C4×Q8—31no—
431C4×Q8—91no—
432C4×Q8—91no—
433C4×D4—31no—
434C4×D4—61no—
435C4×D4—61no—
436C4×D4D3211yescharacteristic
437#117—31no—
438#117—61no—
439C2×C4⋊C4—31no—
440C2×C4⋊C4—61no—
441#107—31no—
442#107—91no—
443#106—31no—
444#106—91no—
445C4⋊C8—31no—
446C4⋊C8—91no—
447#103—91no—
448#103—91no—
449#103—91no—
450#103—91no—
451#103—91no—
452#103—91no—
453#102—31no—
454#102—31no—
455C22⋊C8—91no—
456C22⋊C8—91no—
457#97—91no—
458C4×C8—91no—
459C23×C3—21no—
460C23×C3—21no—
461C23×C3—31no—
462C23×C3—41no—
463C22×D3C2×#6711yescharacteristic
464C3×Q8—32no—
465C3×Q8—61no—
466C3×D4—21no—
467C3×D4—21no—
468C3×D4—22no—
469C3×D4—41no—
470C3×D4—64no—
471C3×D4#23512yes—
472C3×D4#23912yes—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—31no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—41no—
482C2×C3×C4—64no—
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—81no—
490C2×C3×C4—81no—
491C2×C3×C4—82no—
492C2×C3×C4—241no—
493C2×C3×C4—241no—
494C2×C3×C4D3×D411yescharacteristic
495C2×C3×C4D3×D411yescharacteristic
496C2×C3×C4C2×#6711yescharacteristic
497C2×C3×C4C2×#6711yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499C2×C3×C4C23×D311yescharacteristic
500#67—24no—
501C2×Dic3—24no—
502C2×Dic3—21no—
503C2×Dic3—21no—
504C2×Dic3—21no—
505C2×Dic3—21no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—81no—
511C2×Dic3—121no—
512C2×Dic3—121no—
513C2×Dic3C2×#6711yescharacteristic
514C2×Dic3C2×#6711yescharacteristic
515C2×Dic3C2×#6711yescharacteristic
516C4×D3—21no—
517C4×D3—21no—
518C4×D3—81no—
519Dic6—21no—
520Dic6—61no—
521Dic6—61no—
522Dic6—61no—
523Dic6—61no—
524Dic6—61no—
525Dic6—61no—
526Dic6—61no—
527Dic6—61no—
528Dic6—121no—
529Dic6—121no—
530Dic6—121no—
531Dic6—121no—
532Dic6#23512yes—
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—42no—
544C2×C32#52511yescharacteristic
545C2×C32#57711yescharacteristic
546C2×C32#57811yescharacteristic
547C3×D3—41no—
548#41—62no—
549#41—62no—
550C2×Q8—31no—
551C2×Q8—91no—
552C2×Q8—91no—
553C2×D4—61no—
554C2×D4C2×D3211yescharacteristic
555C22×C4—21no—
556C22×C4—31no—
557C22×C4—61no—
558C22×C4—61no—
559C22×C4—61no—
560Q16—182no—
561Q16—182no—
562SD16—182no—
563SD16—182no—
564C2×C8—31no—
565C2×C8—31no—
566C2×C8—91no—
567C2×C8—91no—
568C4⋊C4—31no—
569C4⋊C4—31no—
570C4⋊C4—31no—
571C4⋊C4—31no—
572C4⋊C4—31no—
573C4⋊C4—61no—
574C4⋊C4—61no—
575C4⋊C4—61no—
576C4⋊C4—61no—
577C4⋊C4—61no—
578C4⋊C4—181no—
579C4⋊C4—181no—
580C4⋊C4—181no—
581C4⋊C4—181no—
582C4⋊C4—181no—
583C4⋊C4—181no—
584C4⋊C4C2×D3211yescharacteristic
585C22⋊C4—21no—
586C22⋊C4—31no—
587C22⋊C4—31no—
588C22⋊C4—61no—
589C22⋊C4—181no—
590C22⋊C4—181no—
591C42—31no—
592C42—61no—
593C42—61no—
594C42—181no—
595C42—181no—
596C42C2×D3211yescharacteristic
597C22×C3—22no—
598C22×C3—22no—
599C22×C3—21no—
600C22×C3—42no—
601C22×C3—41no—
602C22×C3—41no—
603C22×C3—41no—
604C22×C3—41no—
605C22×C3—61no—
606C22×C3—61no—
607C22×C3—61no—
608C22×C3—81no—
609C22×C3—81no—
610C22×C3C2×D3×D411yescharacteristic
611C22×C3C22×#6711yescharacteristic
612C2×D3—21no—
613C2×D3—21no—
614C2×D3—21no—
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—61no—
626C3×C4—61no—
627C3×C4—61no—
628C3×C4—62no—
629C3×C4—81no—
630C3×C4—121no—
631C3×C4—121no—
632C3×C4—121no—
633C3×C4C2×#23511yescharacteristic
634C3×C4C2×#23511yescharacteristic
635C3×C4C2×#23911yescharacteristic
636C3×C4D3×#4111yescharacteristic
637Dic3—22no—
638Dic3—21no—
639Dic3—21no—
640Dic3—21no—
641Dic3—41no—
642Dic3—41no—
643Dic3—41no—
644Dic3—121no—
645Dic3—121no—
646Dic3—121no—
647Dic3—121no—
648Dic3—241no—
649Dic3—241no—
650C32#312011yescharacteristic, complemented, Sylow
651C23—21no—
652C23—31no—
653Q8—32no—
654Q8—61no—
655Q8—181no—
656Q8—181no—
657Q8—181no—
658Q8—181no—
659D4—21no—
660D4—64no—
661D4#379912yes—
662C2×C4—21no—
663C2×C4—31no—
664C2×C4—31no—
665C2×C4—31no—
666C2×C4—64no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—81no—
674C2×C4—181no—
675C2×C4—181no—
676C2×C4—241no—
677C2×C4—241no—
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—42no—
689C2×C3—42no—
690C2×C3—82no—
691C2×C3—121no—
692C2×C3#562711yescharacteristic
693C2×C3#577111yescharacteristic
694C2×C3#577511yescharacteristic
695C2×C3#579111yescharacteristic
696C2×C3#583611yescharacteristic
697C2×C3#583811yescharacteristic
698D3—41no—
699C22—22no—
700C22—41no—
701C22—41no—
702C22—61no—
703C22—61no—
704C22—61no—
705C22C2×D3×#6711yescharacteristic
706C4—21no—
707C4—21no—
708C4—41no—
709C4—61no—
710C4—61no—
711C4—61no—
712C4—62no—
713C4—121no—
714C4—121no—
715C4—121no—
716C4—361no—
717C4—361no—
718C4C2×#379911yescharacteristic
719C4D3×#23511yescharacteristic
720C3—21no—
721C3#8114511yescharacteristic, complemented
722C3#8257511yescharacteristic, complemented
723C2—42no—
724C2—121no—
725C2#1059500511yescharacteristic
726C2#1059510611yescharacteristic
727C2#1059546711yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
prime radicalC2×C3×#237C22
hypercenterC4×D4D32
hypocenterC32#3120
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
2. #10593881C2semidirect
3. #10592718C2semidirect
4. C3×#5009C2semidirect
7. #10591405C2semidirect
8. #10591401C2semidirect
9. #10590481C2semidirect
10. #10590480C2semidirect
11. #10590427C2semidirect
12. #10590426C2semidirect
13. #10590385C2semidirect
14. #10590286C2semidirect
15. #10590253C2semidirect
78. #5009D3semidirect
650. C32#3120semidirect
721. C3#81145semidirect
722. C3#82575semidirect

Maximal subgroups

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

subgroupindex
C3×#55462
#105938812
#105927182
C3×#50092
#105914632
#105914052
#105914012
#105904812
#105904802
#105904272
#105904262
#105903852
#105902862
#105902532
#825753
#811453